TSTP Solution File: COL042-6 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : COL042-6 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n020.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 00:12:27 EDT 2022

% Result   : Unsatisfiable 0.73s 1.30s
% Output   : Refutation 0.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COL042-6 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Tue May 31 12:04:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.73/1.30  *** allocated 10000 integers for termspace/termends
% 0.73/1.30  *** allocated 10000 integers for clauses
% 0.73/1.30  *** allocated 10000 integers for justifications
% 0.73/1.30  Bliksem 1.12
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  Automatic Strategy Selection
% 0.73/1.30  
% 0.73/1.30  Clauses:
% 0.73/1.30  [
% 0.73/1.30     [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 0.73/1.30     ],
% 0.73/1.30     [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ],
% 0.73/1.30     [ =( 'strong_fixed_point', apply( apply( b, apply( apply( b, apply( 
% 0.73/1.30    apply( b, apply( w1, w1 ) ), apply( b, w1 ) ) ), b ) ), b ) ) ],
% 0.73/1.30     [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply( 'fixed_pt', 
% 0.73/1.30    apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ]
% 0.73/1.30  ] .
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  percentage equality = 1.000000, percentage horn = 1.000000
% 0.73/1.30  This is a pure equality problem
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  Options Used:
% 0.73/1.30  
% 0.73/1.30  useres =            1
% 0.73/1.30  useparamod =        1
% 0.73/1.30  useeqrefl =         1
% 0.73/1.30  useeqfact =         1
% 0.73/1.30  usefactor =         1
% 0.73/1.30  usesimpsplitting =  0
% 0.73/1.30  usesimpdemod =      5
% 0.73/1.30  usesimpres =        3
% 0.73/1.30  
% 0.73/1.30  resimpinuse      =  1000
% 0.73/1.30  resimpclauses =     20000
% 0.73/1.30  substype =          eqrewr
% 0.73/1.30  backwardsubs =      1
% 0.73/1.30  selectoldest =      5
% 0.73/1.30  
% 0.73/1.30  litorderings [0] =  split
% 0.73/1.30  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.73/1.30  
% 0.73/1.30  termordering =      kbo
% 0.73/1.30  
% 0.73/1.30  litapriori =        0
% 0.73/1.30  termapriori =       1
% 0.73/1.30  litaposteriori =    0
% 0.73/1.30  termaposteriori =   0
% 0.73/1.30  demodaposteriori =  0
% 0.73/1.30  ordereqreflfact =   0
% 0.73/1.30  
% 0.73/1.30  litselect =         negord
% 0.73/1.30  
% 0.73/1.30  maxweight =         15
% 0.73/1.30  maxdepth =          30000
% 0.73/1.30  maxlength =         115
% 0.73/1.30  maxnrvars =         195
% 0.73/1.30  excuselevel =       1
% 0.73/1.30  increasemaxweight = 1
% 0.73/1.30  
% 0.73/1.30  maxselected =       10000000
% 0.73/1.30  maxnrclauses =      10000000
% 0.73/1.30  
% 0.73/1.30  showgenerated =    0
% 0.73/1.30  showkept =         0
% 0.73/1.30  showselected =     0
% 0.73/1.30  showdeleted =      0
% 0.73/1.30  showresimp =       1
% 0.73/1.30  showstatus =       2000
% 0.73/1.30  
% 0.73/1.30  prologoutput =     1
% 0.73/1.30  nrgoals =          5000000
% 0.73/1.30  totalproof =       1
% 0.73/1.30  
% 0.73/1.30  Symbols occurring in the translation:
% 0.73/1.30  
% 0.73/1.30  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.73/1.30  .  [1, 2]      (w:1, o:21, a:1, s:1, b:0), 
% 0.73/1.30  !  [4, 1]      (w:0, o:16, a:1, s:1, b:0), 
% 0.73/1.30  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.73/1.30  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.73/1.30  b  [39, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.73/1.30  apply  [41, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.73/1.30  w1  [44, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.73/1.30  'strong_fixed_point'  [45, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 0.73/1.30  'fixed_pt'  [46, 0]      (w:1, o:15, a:1, s:1, b:0).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  Starting Search:
% 0.73/1.30  
% 0.73/1.30  Resimplifying inuse:
% 0.73/1.30  Done
% 0.73/1.30  
% 0.73/1.30  Failed to find proof!
% 0.73/1.30  maxweight =   15
% 0.73/1.30  maxnrclauses = 10000000
% 0.73/1.30  Generated: 1124
% 0.73/1.30  Kept: 25
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  The strategy used was not complete!
% 0.73/1.30  
% 0.73/1.30  Increased maxweight to 16
% 0.73/1.30  
% 0.73/1.30  Starting Search:
% 0.73/1.30  
% 0.73/1.30  Resimplifying inuse:
% 0.73/1.30  Done
% 0.73/1.30  
% 0.73/1.30  Failed to find proof!
% 0.73/1.30  maxweight =   16
% 0.73/1.30  maxnrclauses = 10000000
% 0.73/1.30  Generated: 1124
% 0.73/1.30  Kept: 25
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  The strategy used was not complete!
% 0.73/1.30  
% 0.73/1.30  Increased maxweight to 17
% 0.73/1.30  
% 0.73/1.30  Starting Search:
% 0.73/1.30  
% 0.73/1.30  Resimplifying inuse:
% 0.73/1.30  Done
% 0.73/1.30  
% 0.73/1.30  Failed to find proof!
% 0.73/1.30  maxweight =   17
% 0.73/1.30  maxnrclauses = 10000000
% 0.73/1.30  Generated: 2571
% 0.73/1.30  Kept: 49
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  The strategy used was not complete!
% 0.73/1.30  
% 0.73/1.30  Increased maxweight to 18
% 0.73/1.30  
% 0.73/1.30  Starting Search:
% 0.73/1.30  
% 0.73/1.30  Resimplifying inuse:
% 0.73/1.30  Done
% 0.73/1.30  
% 0.73/1.30  Failed to find proof!
% 0.73/1.30  maxweight =   18
% 0.73/1.30  maxnrclauses = 10000000
% 0.73/1.30  Generated: 2571
% 0.73/1.30  Kept: 49
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  The strategy used was not complete!
% 0.73/1.30  
% 0.73/1.30  Increased maxweight to 19
% 0.73/1.30  
% 0.73/1.30  Starting Search:
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  Bliksems!, er is een bewijs:
% 0.73/1.30  % SZS status Unsatisfiable
% 0.73/1.30  % SZS output start Refutation
% 0.73/1.30  
% 0.73/1.30  clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, 
% 0.73/1.30    Z ) ) ) ] )
% 0.73/1.30  .
% 0.73/1.30  clause( 1, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ]
% 0.73/1.30     )
% 0.73/1.30  .
% 0.73/1.30  clause( 2, [ =( apply( apply( b, apply( apply( b, apply( apply( b, apply( 
% 0.73/1.30    w1, w1 ) ), apply( b, w1 ) ) ), b ) ), b ), 'strong_fixed_point' ) ] )
% 0.73/1.30  .
% 0.73/1.30  clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point', 
% 0.73/1.30    'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.73/1.30  .
% 0.73/1.30  clause( 13, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ), apply( 
% 0.73/1.30    apply( X, apply( Y, Z ) ), Z ) ) ] )
% 0.73/1.30  .
% 0.73/1.30  clause( 26, [ =( apply( apply( w1, w1 ), apply( apply( b, w1 ), apply( b, 
% 0.73/1.30    apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.73/1.30  .
% 0.73/1.30  clause( 100, [ =( apply( apply( w1, Z ), apply( apply( b, apply( b, X ) ), 
% 0.73/1.30    Y ) ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 0.73/1.30  .
% 0.73/1.30  clause( 102, [ =( apply( apply( w1, Y ), apply( apply( b, w1 ), X ) ), 
% 0.73/1.30    apply( apply( Y, apply( X, Y ) ), apply( X, Y ) ) ) ] )
% 0.73/1.30  .
% 0.73/1.30  clause( 221, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply( 
% 0.73/1.30    'strong_fixed_point', X ) ) ] )
% 0.73/1.30  .
% 0.73/1.30  clause( 226, [] )
% 0.73/1.30  .
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  % SZS output end Refutation
% 0.73/1.30  found a proof!
% 0.73/1.30  
% 0.73/1.30  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.30  
% 0.73/1.30  initialclauses(
% 0.73/1.30  [ clause( 228, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( 
% 0.73/1.30    Y, Z ) ) ) ] )
% 0.73/1.30  , clause( 229, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) )
% 0.73/1.30     ] )
% 0.73/1.30  , clause( 230, [ =( 'strong_fixed_point', apply( apply( b, apply( apply( b
% 0.73/1.30    , apply( apply( b, apply( w1, w1 ) ), apply( b, w1 ) ) ), b ) ), b ) ) ]
% 0.73/1.30     )
% 0.73/1.30  , clause( 231, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply( 
% 0.73/1.30    'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.73/1.30  ] ).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  subsumption(
% 0.73/1.30  clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, 
% 0.73/1.30    Z ) ) ) ] )
% 0.73/1.30  , clause( 228, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( 
% 0.73/1.30    Y, Z ) ) ) ] )
% 0.73/1.30  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.73/1.30    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  subsumption(
% 0.73/1.30  clause( 1, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ]
% 0.73/1.30     )
% 0.73/1.30  , clause( 229, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) )
% 0.73/1.30     ] )
% 0.73/1.30  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.30     )] ) ).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  eqswap(
% 0.73/1.30  clause( 237, [ =( apply( apply( b, apply( apply( b, apply( apply( b, apply( 
% 0.73/1.30    w1, w1 ) ), apply( b, w1 ) ) ), b ) ), b ), 'strong_fixed_point' ) ] )
% 0.73/1.30  , clause( 230, [ =( 'strong_fixed_point', apply( apply( b, apply( apply( b
% 0.73/1.30    , apply( apply( b, apply( w1, w1 ) ), apply( b, w1 ) ) ), b ) ), b ) ) ]
% 0.73/1.30     )
% 0.73/1.30  , 0, substitution( 0, [] )).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  subsumption(
% 0.73/1.30  clause( 2, [ =( apply( apply( b, apply( apply( b, apply( apply( b, apply( 
% 0.73/1.30    w1, w1 ) ), apply( b, w1 ) ) ), b ) ), b ), 'strong_fixed_point' ) ] )
% 0.73/1.30  , clause( 237, [ =( apply( apply( b, apply( apply( b, apply( apply( b, 
% 0.73/1.30    apply( w1, w1 ) ), apply( b, w1 ) ) ), b ) ), b ), 'strong_fixed_point' )
% 0.73/1.30     ] )
% 0.73/1.30  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  eqswap(
% 0.73/1.30  clause( 241, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point', 
% 0.73/1.30    'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.73/1.30  , clause( 231, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply( 
% 0.73/1.30    'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.73/1.30  , 0, substitution( 0, [] )).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  subsumption(
% 0.73/1.30  clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point', 
% 0.73/1.30    'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.73/1.30  , clause( 241, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point', 
% 0.73/1.30    'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.73/1.30  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  eqswap(
% 0.73/1.30  clause( 243, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y ) ) ]
% 0.73/1.30     )
% 0.73/1.30  , clause( 1, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ]
% 0.73/1.30     )
% 0.73/1.30  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  paramod(
% 0.73/1.30  clause( 257, [ =( apply( apply( X, apply( Y, Z ) ), Z ), apply( apply( w1, 
% 0.73/1.30    Z ), apply( apply( b, X ), Y ) ) ) ] )
% 0.73/1.30  , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.73/1.30    , Z ) ) ) ] )
% 0.73/1.30  , 0, clause( 243, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y
% 0.73/1.30     ) ) ] )
% 0.73/1.30  , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.73/1.30    substitution( 1, [ :=( X, Z ), :=( Y, apply( apply( b, X ), Y ) )] )).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  eqswap(
% 0.73/1.30  clause( 259, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ), apply( 
% 0.73/1.30    apply( X, apply( Y, Z ) ), Z ) ) ] )
% 0.73/1.30  , clause( 257, [ =( apply( apply( X, apply( Y, Z ) ), Z ), apply( apply( w1
% 0.73/1.30    , Z ), apply( apply( b, X ), Y ) ) ) ] )
% 0.73/1.30  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  subsumption(
% 0.73/1.30  clause( 13, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ), apply( 
% 0.73/1.30    apply( X, apply( Y, Z ) ), Z ) ) ] )
% 0.73/1.30  , clause( 259, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ), 
% 0.73/1.30    apply( apply( X, apply( Y, Z ) ), Z ) ) ] )
% 0.73/1.30  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.73/1.30    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  eqswap(
% 0.73/1.30  clause( 261, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 0.73/1.30     ), Z ) ) ] )
% 0.73/1.30  , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.73/1.30    , Z ) ) ) ] )
% 0.73/1.30  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  paramod(
% 0.73/1.30  clause( 265, [ =( apply( apply( apply( b, apply( apply( b, apply( w1, w1 )
% 0.73/1.30     ), apply( b, w1 ) ) ), b ), apply( b, X ) ), apply( 'strong_fixed_point'
% 0.73/1.30    , X ) ) ] )
% 0.73/1.30  , clause( 2, [ =( apply( apply( b, apply( apply( b, apply( apply( b, apply( 
% 0.73/1.30    w1, w1 ) ), apply( b, w1 ) ) ), b ) ), b ), 'strong_fixed_point' ) ] )
% 0.73/1.30  , 0, clause( 261, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 0.73/1.30     ), Y ), Z ) ) ] )
% 0.73/1.30  , 0, 19, substitution( 0, [] ), substitution( 1, [ :=( X, apply( apply( b, 
% 0.73/1.30    apply( apply( b, apply( w1, w1 ) ), apply( b, w1 ) ) ), b ) ), :=( Y, b )
% 0.73/1.30    , :=( Z, X )] )).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  paramod(
% 0.73/1.30  clause( 266, [ =( apply( apply( apply( b, apply( w1, w1 ) ), apply( b, w1 )
% 0.73/1.30     ), apply( b, apply( b, X ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.73/1.30  , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.73/1.30    , Z ) ) ) ] )
% 0.73/1.30  , 0, clause( 265, [ =( apply( apply( apply( b, apply( apply( b, apply( w1, 
% 0.73/1.30    w1 ) ), apply( b, w1 ) ) ), b ), apply( b, X ) ), apply( 
% 0.73/1.30    'strong_fixed_point', X ) ) ] )
% 0.73/1.30  , 0, 1, substitution( 0, [ :=( X, apply( apply( b, apply( w1, w1 ) ), apply( 
% 0.73/1.30    b, w1 ) ) ), :=( Y, b ), :=( Z, apply( b, X ) )] ), substitution( 1, [ 
% 0.73/1.30    :=( X, X )] )).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  paramod(
% 0.73/1.30  clause( 268, [ =( apply( apply( w1, w1 ), apply( apply( b, w1 ), apply( b, 
% 0.73/1.30    apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.73/1.30  , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.73/1.30    , Z ) ) ) ] )
% 0.73/1.30  , 0, clause( 266, [ =( apply( apply( apply( b, apply( w1, w1 ) ), apply( b
% 0.73/1.30    , w1 ) ), apply( b, apply( b, X ) ) ), apply( 'strong_fixed_point', X ) )
% 0.73/1.30     ] )
% 0.73/1.30  , 0, 1, substitution( 0, [ :=( X, apply( w1, w1 ) ), :=( Y, apply( b, w1 )
% 0.73/1.30     ), :=( Z, apply( b, apply( b, X ) ) )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.30    ).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  subsumption(
% 0.73/1.30  clause( 26, [ =( apply( apply( w1, w1 ), apply( apply( b, w1 ), apply( b, 
% 0.73/1.30    apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.73/1.30  , clause( 268, [ =( apply( apply( w1, w1 ), apply( apply( b, w1 ), apply( b
% 0.73/1.30    , apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.73/1.30  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  eqswap(
% 0.73/1.30  clause( 270, [ =( apply( apply( Y, apply( Z, X ) ), X ), apply( apply( w1, 
% 0.73/1.30    X ), apply( apply( b, Y ), Z ) ) ) ] )
% 0.73/1.30  , clause( 13, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ), 
% 0.73/1.30    apply( apply( X, apply( Y, Z ) ), Z ) ) ] )
% 0.73/1.30  , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  eqswap(
% 0.73/1.30  clause( 271, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X ), Y
% 0.73/1.30     ), Z ) ) ] )
% 0.73/1.30  , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 0.73/1.30    , Z ) ) ) ] )
% 0.73/1.30  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  paramod(
% 0.73/1.30  clause( 274, [ =( apply( X, apply( apply( Y, Z ), Z ) ), apply( apply( w1, 
% 0.73/1.30    Z ), apply( apply( b, apply( b, X ) ), Y ) ) ) ] )
% 0.73/1.30  , clause( 270, [ =( apply( apply( Y, apply( Z, X ) ), X ), apply( apply( w1
% 0.73/1.30    , X ), apply( apply( b, Y ), Z ) ) ) ] )
% 0.73/1.30  , 0, clause( 271, [ =( apply( X, apply( Y, Z ) ), apply( apply( apply( b, X
% 0.73/1.30     ), Y ), Z ) ) ] )
% 0.73/1.30  , 0, 8, substitution( 0, [ :=( X, Z ), :=( Y, apply( b, X ) ), :=( Z, Y )] )
% 0.73/1.30    , substitution( 1, [ :=( X, X ), :=( Y, apply( Y, Z ) ), :=( Z, Z )] )
% 0.73/1.30    ).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  eqswap(
% 0.73/1.30  clause( 278, [ =( apply( apply( w1, Z ), apply( apply( b, apply( b, X ) ), 
% 0.73/1.30    Y ) ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 0.73/1.30  , clause( 274, [ =( apply( X, apply( apply( Y, Z ), Z ) ), apply( apply( w1
% 0.73/1.30    , Z ), apply( apply( b, apply( b, X ) ), Y ) ) ) ] )
% 0.73/1.30  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  subsumption(
% 0.73/1.30  clause( 100, [ =( apply( apply( w1, Z ), apply( apply( b, apply( b, X ) ), 
% 0.73/1.30    Y ) ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 0.73/1.30  , clause( 278, [ =( apply( apply( w1, Z ), apply( apply( b, apply( b, X ) )
% 0.73/1.30    , Y ) ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 0.73/1.30  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.73/1.30    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  eqswap(
% 0.73/1.30  clause( 280, [ =( apply( apply( Y, apply( Z, X ) ), X ), apply( apply( w1, 
% 0.73/1.30    X ), apply( apply( b, Y ), Z ) ) ) ] )
% 0.73/1.30  , clause( 13, [ =( apply( apply( w1, Z ), apply( apply( b, X ), Y ) ), 
% 0.73/1.30    apply( apply( X, apply( Y, Z ) ), Z ) ) ] )
% 0.73/1.30  , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  eqswap(
% 0.73/1.30  clause( 281, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y ) ) ]
% 0.73/1.30     )
% 0.73/1.30  , clause( 1, [ =( apply( apply( w1, X ), Y ), apply( apply( Y, X ), X ) ) ]
% 0.73/1.30     )
% 0.73/1.30  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  paramod(
% 0.73/1.30  clause( 283, [ =( apply( apply( X, apply( Y, X ) ), apply( Y, X ) ), apply( 
% 0.73/1.30    apply( w1, X ), apply( apply( b, w1 ), Y ) ) ) ] )
% 0.73/1.30  , clause( 280, [ =( apply( apply( Y, apply( Z, X ) ), X ), apply( apply( w1
% 0.73/1.30    , X ), apply( apply( b, Y ), Z ) ) ) ] )
% 0.73/1.30  , 0, clause( 281, [ =( apply( apply( Y, X ), X ), apply( apply( w1, X ), Y
% 0.73/1.30     ) ) ] )
% 0.73/1.30  , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, w1 ), :=( Z, Y )] ), 
% 0.73/1.30    substitution( 1, [ :=( X, apply( Y, X ) ), :=( Y, X )] )).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  eqswap(
% 0.73/1.30  clause( 285, [ =( apply( apply( w1, X ), apply( apply( b, w1 ), Y ) ), 
% 0.73/1.30    apply( apply( X, apply( Y, X ) ), apply( Y, X ) ) ) ] )
% 0.73/1.30  , clause( 283, [ =( apply( apply( X, apply( Y, X ) ), apply( Y, X ) ), 
% 0.73/1.30    apply( apply( w1, X ), apply( apply( b, w1 ), Y ) ) ) ] )
% 0.73/1.30  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  subsumption(
% 0.73/1.30  clause( 102, [ =( apply( apply( w1, Y ), apply( apply( b, w1 ), X ) ), 
% 0.73/1.30    apply( apply( Y, apply( X, Y ) ), apply( X, Y ) ) ) ] )
% 0.73/1.30  , clause( 285, [ =( apply( apply( w1, X ), apply( apply( b, w1 ), Y ) ), 
% 0.73/1.30    apply( apply( X, apply( Y, X ) ), apply( Y, X ) ) ) ] )
% 0.73/1.30  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.30     )] ) ).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  eqswap(
% 0.73/1.30  clause( 286, [ =( apply( apply( X, apply( Y, X ) ), apply( Y, X ) ), apply( 
% 0.73/1.30    apply( w1, X ), apply( apply( b, w1 ), Y ) ) ) ] )
% 0.73/1.30  , clause( 102, [ =( apply( apply( w1, Y ), apply( apply( b, w1 ), X ) ), 
% 0.73/1.30    apply( apply( Y, apply( X, Y ) ), apply( X, Y ) ) ) ] )
% 0.73/1.30  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  eqswap(
% 0.73/1.30  clause( 287, [ =( apply( Y, apply( apply( Z, X ), X ) ), apply( apply( w1, 
% 0.73/1.30    X ), apply( apply( b, apply( b, Y ) ), Z ) ) ) ] )
% 0.73/1.30  , clause( 100, [ =( apply( apply( w1, Z ), apply( apply( b, apply( b, X ) )
% 0.73/1.30    , Y ) ), apply( X, apply( apply( Y, Z ), Z ) ) ) ] )
% 0.73/1.30  , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  paramod(
% 0.73/1.30  clause( 292, [ =( apply( X, apply( apply( w1, apply( apply( b, apply( b, X
% 0.73/1.30     ) ), w1 ) ), apply( apply( b, apply( b, X ) ), w1 ) ) ), apply( apply( 
% 0.73/1.30    w1, w1 ), apply( apply( b, w1 ), apply( b, apply( b, X ) ) ) ) ) ] )
% 0.73/1.30  , clause( 286, [ =( apply( apply( X, apply( Y, X ) ), apply( Y, X ) ), 
% 0.73/1.30    apply( apply( w1, X ), apply( apply( b, w1 ), Y ) ) ) ] )
% 0.73/1.30  , 0, clause( 287, [ =( apply( Y, apply( apply( Z, X ), X ) ), apply( apply( 
% 0.73/1.30    w1, X ), apply( apply( b, apply( b, Y ) ), Z ) ) ) ] )
% 0.73/1.30  , 0, 20, substitution( 0, [ :=( X, w1 ), :=( Y, apply( b, apply( b, X ) ) )] )
% 0.73/1.30    , substitution( 1, [ :=( X, apply( apply( b, apply( b, X ) ), w1 ) ), 
% 0.73/1.30    :=( Y, X ), :=( Z, w1 )] )).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  paramod(
% 0.73/1.30  clause( 294, [ =( apply( X, apply( apply( w1, w1 ), apply( apply( b, w1 ), 
% 0.73/1.30    apply( b, apply( b, X ) ) ) ) ), apply( apply( w1, w1 ), apply( apply( b
% 0.73/1.30    , w1 ), apply( b, apply( b, X ) ) ) ) ) ] )
% 0.73/1.30  , clause( 286, [ =( apply( apply( X, apply( Y, X ) ), apply( Y, X ) ), 
% 0.73/1.30    apply( apply( w1, X ), apply( apply( b, w1 ), Y ) ) ) ] )
% 0.73/1.30  , 0, clause( 292, [ =( apply( X, apply( apply( w1, apply( apply( b, apply( 
% 0.73/1.30    b, X ) ), w1 ) ), apply( apply( b, apply( b, X ) ), w1 ) ) ), apply( 
% 0.73/1.30    apply( w1, w1 ), apply( apply( b, w1 ), apply( b, apply( b, X ) ) ) ) ) ]
% 0.73/1.30     )
% 0.73/1.30  , 0, 3, substitution( 0, [ :=( X, w1 ), :=( Y, apply( b, apply( b, X ) ) )] )
% 0.73/1.30    , substitution( 1, [ :=( X, X )] )).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  paramod(
% 0.73/1.30  clause( 298, [ =( apply( X, apply( apply( w1, w1 ), apply( apply( b, w1 ), 
% 0.73/1.30    apply( b, apply( b, X ) ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.73/1.30  , clause( 26, [ =( apply( apply( w1, w1 ), apply( apply( b, w1 ), apply( b
% 0.73/1.30    , apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.73/1.30  , 0, clause( 294, [ =( apply( X, apply( apply( w1, w1 ), apply( apply( b, 
% 0.73/1.30    w1 ), apply( b, apply( b, X ) ) ) ) ), apply( apply( w1, w1 ), apply( 
% 0.73/1.30    apply( b, w1 ), apply( b, apply( b, X ) ) ) ) ) ] )
% 0.73/1.30  , 0, 16, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.30    ).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  paramod(
% 0.73/1.30  clause( 299, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply( 
% 0.73/1.30    'strong_fixed_point', X ) ) ] )
% 0.73/1.30  , clause( 26, [ =( apply( apply( w1, w1 ), apply( apply( b, w1 ), apply( b
% 0.73/1.30    , apply( b, X ) ) ) ), apply( 'strong_fixed_point', X ) ) ] )
% 0.73/1.30  , 0, clause( 298, [ =( apply( X, apply( apply( w1, w1 ), apply( apply( b, 
% 0.73/1.30    w1 ), apply( b, apply( b, X ) ) ) ) ), apply( 'strong_fixed_point', X ) )
% 0.73/1.30     ] )
% 0.73/1.30  , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.30    ).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  subsumption(
% 0.73/1.30  clause( 221, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply( 
% 0.73/1.30    'strong_fixed_point', X ) ) ] )
% 0.73/1.30  , clause( 299, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply( 
% 0.73/1.30    'strong_fixed_point', X ) ) ] )
% 0.73/1.30  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  eqswap(
% 0.73/1.30  clause( 303, [ =( apply( 'strong_fixed_point', X ), apply( X, apply( 
% 0.73/1.30    'strong_fixed_point', X ) ) ) ] )
% 0.73/1.30  , clause( 221, [ =( apply( X, apply( 'strong_fixed_point', X ) ), apply( 
% 0.73/1.30    'strong_fixed_point', X ) ) ] )
% 0.73/1.30  , 0, substitution( 0, [ :=( X, X )] )).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  eqswap(
% 0.73/1.30  clause( 304, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply( 
% 0.73/1.30    'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.73/1.30  , clause( 3, [ ~( =( apply( 'fixed_pt', apply( 'strong_fixed_point', 
% 0.73/1.30    'fixed_pt' ) ), apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ] )
% 0.73/1.30  , 0, substitution( 0, [] )).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  resolution(
% 0.73/1.30  clause( 305, [] )
% 0.73/1.30  , clause( 304, [ ~( =( apply( 'strong_fixed_point', 'fixed_pt' ), apply( 
% 0.73/1.30    'fixed_pt', apply( 'strong_fixed_point', 'fixed_pt' ) ) ) ) ] )
% 0.73/1.30  , 0, clause( 303, [ =( apply( 'strong_fixed_point', X ), apply( X, apply( 
% 0.73/1.30    'strong_fixed_point', X ) ) ) ] )
% 0.73/1.30  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'fixed_pt' )] )).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  subsumption(
% 0.73/1.30  clause( 226, [] )
% 0.73/1.30  , clause( 305, [] )
% 0.73/1.30  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  end.
% 0.73/1.30  
% 0.73/1.30  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.30  
% 0.73/1.30  Memory use:
% 0.73/1.30  
% 0.73/1.30  space for terms:        4196
% 0.73/1.30  space for clauses:      29478
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  clauses generated:      26380
% 0.73/1.30  clauses kept:           227
% 0.73/1.30  clauses selected:       112
% 0.73/1.30  clauses deleted:        15
% 0.73/1.30  clauses inuse deleted:  0
% 0.73/1.30  
% 0.73/1.30  subsentry:          1702
% 0.73/1.30  literals s-matched: 1494
% 0.73/1.30  literals matched:   1494
% 0.73/1.30  full subsumption:   0
% 0.73/1.30  
% 0.73/1.30  checksum:           -351299193
% 0.73/1.30  
% 0.73/1.30  
% 0.73/1.30  Bliksem ended
%------------------------------------------------------------------------------