TSTP Solution File: COL033-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : COL033-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n019.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 00:12:25 EDT 2022

% Result   : Unsatisfiable 120.91s 121.38s
% Output   : Refutation 120.91s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : COL033-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14  % Command  : bliksem %s
% 0.15/0.35  % Computer : n019.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % DateTime : Tue May 31 05:52:10 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 120.91/121.38  *** allocated 10000 integers for termspace/termends
% 120.91/121.38  *** allocated 10000 integers for clauses
% 120.91/121.38  *** allocated 10000 integers for justifications
% 120.91/121.38  Bliksem 1.12
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  Automatic Strategy Selection
% 120.91/121.38  
% 120.91/121.38  Clauses:
% 120.91/121.38  [
% 120.91/121.38     [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, Z ) ) )
% 120.91/121.38     ],
% 120.91/121.38     [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ],
% 120.91/121.38     [ =( apply( m, X ), apply( X, X ) ) ],
% 120.91/121.38     [ ~( =( apply( X, f( X ) ), apply( f( X ), apply( X, f( X ) ) ) ) ) ]
% 120.91/121.38  ] .
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  percentage equality = 1.000000, percentage horn = 1.000000
% 120.91/121.38  This is a pure equality problem
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  Options Used:
% 120.91/121.38  
% 120.91/121.38  useres =            1
% 120.91/121.38  useparamod =        1
% 120.91/121.38  useeqrefl =         1
% 120.91/121.38  useeqfact =         1
% 120.91/121.38  usefactor =         1
% 120.91/121.38  usesimpsplitting =  0
% 120.91/121.38  usesimpdemod =      5
% 120.91/121.38  usesimpres =        3
% 120.91/121.38  
% 120.91/121.38  resimpinuse      =  1000
% 120.91/121.38  resimpclauses =     20000
% 120.91/121.38  substype =          eqrewr
% 120.91/121.38  backwardsubs =      1
% 120.91/121.38  selectoldest =      5
% 120.91/121.38  
% 120.91/121.38  litorderings [0] =  split
% 120.91/121.38  litorderings [1] =  extend the termordering, first sorting on arguments
% 120.91/121.38  
% 120.91/121.38  termordering =      kbo
% 120.91/121.38  
% 120.91/121.38  litapriori =        0
% 120.91/121.38  termapriori =       1
% 120.91/121.38  litaposteriori =    0
% 120.91/121.38  termaposteriori =   0
% 120.91/121.38  demodaposteriori =  0
% 120.91/121.38  ordereqreflfact =   0
% 120.91/121.38  
% 120.91/121.38  litselect =         negord
% 120.91/121.38  
% 120.91/121.38  maxweight =         15
% 120.91/121.38  maxdepth =          30000
% 120.91/121.38  maxlength =         115
% 120.91/121.38  maxnrvars =         195
% 120.91/121.38  excuselevel =       1
% 120.91/121.38  increasemaxweight = 1
% 120.91/121.38  
% 120.91/121.38  maxselected =       10000000
% 120.91/121.38  maxnrclauses =      10000000
% 120.91/121.38  
% 120.91/121.38  showgenerated =    0
% 120.91/121.38  showkept =         0
% 120.91/121.38  showselected =     0
% 120.91/121.38  showdeleted =      0
% 120.91/121.38  showresimp =       1
% 120.91/121.38  showstatus =       2000
% 120.91/121.38  
% 120.91/121.38  prologoutput =     1
% 120.91/121.38  nrgoals =          5000000
% 120.91/121.38  totalproof =       1
% 120.91/121.38  
% 120.91/121.38  Symbols occurring in the translation:
% 120.91/121.38  
% 120.91/121.38  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 120.91/121.38  .  [1, 2]      (w:1, o:21, a:1, s:1, b:0), 
% 120.91/121.38  !  [4, 1]      (w:0, o:15, a:1, s:1, b:0), 
% 120.91/121.38  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 120.91/121.38  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 120.91/121.38  b  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 120.91/121.38  apply  [41, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 120.91/121.38  l  [44, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 120.91/121.38  m  [45, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 120.91/121.38  f  [46, 1]      (w:1, o:20, a:1, s:1, b:0).
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  Starting Search:
% 120.91/121.38  
% 120.91/121.38  Resimplifying inuse:
% 120.91/121.38  Done
% 120.91/121.38  
% 120.91/121.38  Failed to find proof!
% 120.91/121.38  maxweight =   15
% 120.91/121.38  maxnrclauses = 10000000
% 120.91/121.38  Generated: 2206
% 120.91/121.38  Kept: 50
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  The strategy used was not complete!
% 120.91/121.38  
% 120.91/121.38  Increased maxweight to 16
% 120.91/121.38  
% 120.91/121.38  Starting Search:
% 120.91/121.38  
% 120.91/121.38  Resimplifying inuse:
% 120.91/121.38  Done
% 120.91/121.38  
% 120.91/121.38  Failed to find proof!
% 120.91/121.38  maxweight =   16
% 120.91/121.38  maxnrclauses = 10000000
% 120.91/121.38  Generated: 2206
% 120.91/121.38  Kept: 50
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  The strategy used was not complete!
% 120.91/121.38  
% 120.91/121.38  Increased maxweight to 17
% 120.91/121.38  
% 120.91/121.38  Starting Search:
% 120.91/121.38  
% 120.91/121.38  Resimplifying inuse:
% 120.91/121.38  Done
% 120.91/121.38  
% 120.91/121.38  Failed to find proof!
% 120.91/121.38  maxweight =   17
% 120.91/121.38  maxnrclauses = 10000000
% 120.91/121.38  Generated: 3073
% 120.91/121.38  Kept: 71
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  The strategy used was not complete!
% 120.91/121.38  
% 120.91/121.38  Increased maxweight to 18
% 120.91/121.38  
% 120.91/121.38  Starting Search:
% 120.91/121.38  
% 120.91/121.38  Resimplifying inuse:
% 120.91/121.38  Done
% 120.91/121.38  
% 120.91/121.38  Failed to find proof!
% 120.91/121.38  maxweight =   18
% 120.91/121.38  maxnrclauses = 10000000
% 120.91/121.38  Generated: 3073
% 120.91/121.38  Kept: 71
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  The strategy used was not complete!
% 120.91/121.38  
% 120.91/121.38  Increased maxweight to 19
% 120.91/121.38  
% 120.91/121.38  Starting Search:
% 120.91/121.38  
% 120.91/121.38  Resimplifying inuse:
% 120.91/121.38  Done
% 120.91/121.38  
% 120.91/121.38  Failed to find proof!
% 120.91/121.38  maxweight =   19
% 120.91/121.38  maxnrclauses = 10000000
% 120.91/121.38  Generated: 27748
% 120.91/121.38  Kept: 156
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  The strategy used was not complete!
% 120.91/121.38  
% 120.91/121.38  Increased maxweight to 20
% 120.91/121.38  
% 120.91/121.38  Starting Search:
% 120.91/121.38  
% 120.91/121.38  Resimplifying inuse:
% 120.91/121.38  Done
% 120.91/121.38  
% 120.91/121.38  Failed to find proof!
% 120.91/121.38  maxweight =   20
% 120.91/121.38  maxnrclauses = 10000000
% 120.91/121.38  Generated: 27748
% 120.91/121.38  Kept: 156
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  The strategy used was not complete!
% 120.91/121.38  
% 120.91/121.38  Increased maxweight to 21
% 120.91/121.38  
% 120.91/121.38  Starting Search:
% 120.91/121.38  
% 120.91/121.38  Resimplifying inuse:
% 120.91/121.38  Done
% 120.91/121.38  
% 120.91/121.38  Failed to find proof!
% 120.91/121.38  maxweight =   21
% 120.91/121.38  maxnrclauses = 10000000
% 120.91/121.38  Generated: 39529
% 120.91/121.38  Kept: 236
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  The strategy used was not complete!
% 120.91/121.38  
% 120.91/121.38  Increased maxweight to 22
% 120.91/121.38  
% 120.91/121.38  Starting Search:
% 120.91/121.38  
% 120.91/121.38  Resimplifying inuse:
% 120.91/121.38  Done
% 120.91/121.38  
% 120.91/121.38  Failed to find proof!
% 120.91/121.38  maxweight =   22
% 120.91/121.38  maxnrclauses = 10000000
% 120.91/121.38  Generated: 40068
% 120.91/121.38  Kept: 240
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  The strategy used was not complete!
% 120.91/121.38  
% 120.91/121.38  Increased maxweight to 23
% 120.91/121.38  
% 120.91/121.38  Starting Search:
% 120.91/121.38  
% 120.91/121.38  Resimplifying inuse:
% 120.91/121.38  Done
% 120.91/121.38  
% 120.91/121.38  Failed to find proof!
% 120.91/121.38  maxweight =   23
% 120.91/121.38  maxnrclauses = 10000000
% 120.91/121.38  Generated: 431969
% 120.91/121.38  Kept: 615
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  The strategy used was not complete!
% 120.91/121.38  
% 120.91/121.38  Increased maxweight to 24
% 120.91/121.38  
% 120.91/121.38  Starting Search:
% 120.91/121.38  
% 120.91/121.38  Resimplifying inuse:
% 120.91/121.38  Done
% 120.91/121.38  
% 120.91/121.38  Failed to find proof!
% 120.91/121.38  maxweight =   24
% 120.91/121.38  maxnrclauses = 10000000
% 120.91/121.38  Generated: 431969
% 120.91/121.38  Kept: 615
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  The strategy used was not complete!
% 120.91/121.38  
% 120.91/121.38  Increased maxweight to 25
% 120.91/121.38  
% 120.91/121.38  Starting Search:
% 120.91/121.38  
% 120.91/121.38  Resimplifying inuse:
% 120.91/121.38  Done
% 120.91/121.38  
% 120.91/121.38  Failed to find proof!
% 120.91/121.38  maxweight =   25
% 120.91/121.38  maxnrclauses = 10000000
% 120.91/121.38  Generated: 647075
% 120.91/121.38  Kept: 951
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  The strategy used was not complete!
% 120.91/121.38  
% 120.91/121.38  Increased maxweight to 26
% 120.91/121.38  
% 120.91/121.38  Starting Search:
% 120.91/121.38  
% 120.91/121.38  Resimplifying inuse:
% 120.91/121.38  Done
% 120.91/121.38  
% 120.91/121.38  Failed to find proof!
% 120.91/121.38  maxweight =   26
% 120.91/121.38  maxnrclauses = 10000000
% 120.91/121.38  Generated: 647075
% 120.91/121.38  Kept: 951
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  The strategy used was not complete!
% 120.91/121.38  
% 120.91/121.38  Increased maxweight to 27
% 120.91/121.38  
% 120.91/121.38  Starting Search:
% 120.91/121.38  
% 120.91/121.38  Resimplifying inuse:
% 120.91/121.38  Done
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  Intermediate Status:
% 120.91/121.38  Generated:    214335
% 120.91/121.38  Kept:         2003
% 120.91/121.38  Inuse:        276
% 120.91/121.38  Deleted:      165
% 120.91/121.38  Deletedinuse: 1
% 120.91/121.38  
% 120.91/121.38  Resimplifying inuse:
% 120.91/121.38  Done
% 120.91/121.38  
% 120.91/121.38  Resimplifying inuse:
% 120.91/121.38  Done
% 120.91/121.38  
% 120.91/121.38  Resimplifying inuse:
% 120.91/121.38  Done
% 120.91/121.38  
% 120.91/121.38  Failed to find proof!
% 120.91/121.38  maxweight =   27
% 120.91/121.38  maxnrclauses = 10000000
% 120.91/121.38  Generated: 8402661
% 120.91/121.38  Kept: 2589
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  The strategy used was not complete!
% 120.91/121.38  
% 120.91/121.38  Increased maxweight to 28
% 120.91/121.38  
% 120.91/121.38  Starting Search:
% 120.91/121.38  
% 120.91/121.38  Resimplifying inuse:
% 120.91/121.38  Done
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  Intermediate Status:
% 120.91/121.38  Generated:    213779
% 120.91/121.38  Kept:         2002
% 120.91/121.38  Inuse:        278
% 120.91/121.38  Deleted:      162
% 120.91/121.38  Deletedinuse: 1
% 120.91/121.38  
% 120.91/121.38  Resimplifying inuse:
% 120.91/121.38  Done
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  Bliksems!, er is een bewijs:
% 120.91/121.38  % SZS status Unsatisfiable
% 120.91/121.38  % SZS output start Refutation
% 120.91/121.38  
% 120.91/121.38  clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, 
% 120.91/121.38    Z ) ) ) ] )
% 120.91/121.38  .
% 120.91/121.38  clause( 1, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ] )
% 120.91/121.38  .
% 120.91/121.38  clause( 2, [ =( apply( m, X ), apply( X, X ) ) ] )
% 120.91/121.38  .
% 120.91/121.38  clause( 3, [ ~( =( apply( f( X ), apply( X, f( X ) ) ), apply( X, f( X ) )
% 120.91/121.38     ) ) ] )
% 120.91/121.38  .
% 120.91/121.38  clause( 13, [ =( apply( Y, apply( m, X ) ), apply( apply( l, Y ), X ) ) ]
% 120.91/121.38     )
% 120.91/121.38  .
% 120.91/121.38  clause( 33, [ ~( =( apply( f( apply( apply( b, X ), Y ) ), apply( X, apply( 
% 120.91/121.38    Y, f( apply( apply( b, X ), Y ) ) ) ) ), apply( X, apply( Y, f( apply( 
% 120.91/121.38    apply( b, X ), Y ) ) ) ) ) ) ] )
% 120.91/121.38  .
% 120.91/121.38  clause( 469, [ ~( =( apply( apply( l, f( apply( apply( b, m ), X ) ) ), 
% 120.91/121.38    apply( X, f( apply( apply( b, m ), X ) ) ) ), apply( m, apply( X, f( 
% 120.91/121.38    apply( apply( b, m ), X ) ) ) ) ) ) ] )
% 120.91/121.38  .
% 120.91/121.38  clause( 2477, [] )
% 120.91/121.38  .
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  % SZS output end Refutation
% 120.91/121.38  found a proof!
% 120.91/121.38  
% 120.91/121.38  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 120.91/121.38  
% 120.91/121.38  initialclauses(
% 120.91/121.38  [ clause( 2479, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( 
% 120.91/121.38    Y, Z ) ) ) ] )
% 120.91/121.38  , clause( 2480, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) )
% 120.91/121.38     ] )
% 120.91/121.38  , clause( 2481, [ =( apply( m, X ), apply( X, X ) ) ] )
% 120.91/121.38  , clause( 2482, [ ~( =( apply( X, f( X ) ), apply( f( X ), apply( X, f( X )
% 120.91/121.38     ) ) ) ) ] )
% 120.91/121.38  ] ).
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  subsumption(
% 120.91/121.38  clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y, 
% 120.91/121.38    Z ) ) ) ] )
% 120.91/121.38  , clause( 2479, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( 
% 120.91/121.38    Y, Z ) ) ) ] )
% 120.91/121.38  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 120.91/121.38    permutation( 0, [ ==>( 0, 0 )] ) ).
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  subsumption(
% 120.91/121.38  clause( 1, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ] )
% 120.91/121.38  , clause( 2480, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) )
% 120.91/121.38     ] )
% 120.91/121.38  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 120.91/121.38     )] ) ).
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  subsumption(
% 120.91/121.38  clause( 2, [ =( apply( m, X ), apply( X, X ) ) ] )
% 120.91/121.38  , clause( 2481, [ =( apply( m, X ), apply( X, X ) ) ] )
% 120.91/121.38  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  eqswap(
% 120.91/121.38  clause( 2492, [ ~( =( apply( f( X ), apply( X, f( X ) ) ), apply( X, f( X )
% 120.91/121.38     ) ) ) ] )
% 120.91/121.38  , clause( 2482, [ ~( =( apply( X, f( X ) ), apply( f( X ), apply( X, f( X )
% 120.91/121.38     ) ) ) ) ] )
% 120.91/121.38  , 0, substitution( 0, [ :=( X, X )] )).
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  subsumption(
% 120.91/121.38  clause( 3, [ ~( =( apply( f( X ), apply( X, f( X ) ) ), apply( X, f( X ) )
% 120.91/121.38     ) ) ] )
% 120.91/121.38  , clause( 2492, [ ~( =( apply( f( X ), apply( X, f( X ) ) ), apply( X, f( X
% 120.91/121.38     ) ) ) ) ] )
% 120.91/121.38  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  eqswap(
% 120.91/121.38  clause( 2493, [ =( apply( X, X ), apply( m, X ) ) ] )
% 120.91/121.38  , clause( 2, [ =( apply( m, X ), apply( X, X ) ) ] )
% 120.91/121.38  , 0, substitution( 0, [ :=( X, X )] )).
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  eqswap(
% 120.91/121.38  clause( 2494, [ =( apply( X, apply( Y, Y ) ), apply( apply( l, X ), Y ) ) ]
% 120.91/121.38     )
% 120.91/121.38  , clause( 1, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ]
% 120.91/121.38     )
% 120.91/121.38  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  paramod(
% 120.91/121.38  clause( 2496, [ =( apply( X, apply( m, Y ) ), apply( apply( l, X ), Y ) ) ]
% 120.91/121.38     )
% 120.91/121.38  , clause( 2493, [ =( apply( X, X ), apply( m, X ) ) ] )
% 120.91/121.38  , 0, clause( 2494, [ =( apply( X, apply( Y, Y ) ), apply( apply( l, X ), Y
% 120.91/121.38     ) ) ] )
% 120.91/121.38  , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ), 
% 120.91/121.38    :=( Y, Y )] )).
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  subsumption(
% 120.91/121.38  clause( 13, [ =( apply( Y, apply( m, X ) ), apply( apply( l, Y ), X ) ) ]
% 120.91/121.38     )
% 120.91/121.38  , clause( 2496, [ =( apply( X, apply( m, Y ) ), apply( apply( l, X ), Y ) )
% 120.91/121.38     ] )
% 120.91/121.38  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 120.91/121.38     )] ) ).
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  eqswap(
% 120.91/121.38  clause( 2514, [ ~( =( apply( X, f( X ) ), apply( f( X ), apply( X, f( X ) )
% 120.91/121.38     ) ) ) ] )
% 120.91/121.38  , clause( 3, [ ~( =( apply( f( X ), apply( X, f( X ) ) ), apply( X, f( X )
% 120.91/121.38     ) ) ) ] )
% 120.91/121.38  , 0, substitution( 0, [ :=( X, X )] )).
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  paramod(
% 120.91/121.38  clause( 2516, [ ~( =( apply( apply( apply( b, X ), Y ), f( apply( apply( b
% 120.91/121.38    , X ), Y ) ) ), apply( f( apply( apply( b, X ), Y ) ), apply( X, apply( Y
% 120.91/121.38    , f( apply( apply( b, X ), Y ) ) ) ) ) ) ) ] )
% 120.91/121.38  , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 120.91/121.38    , Z ) ) ) ] )
% 120.91/121.38  , 0, clause( 2514, [ ~( =( apply( X, f( X ) ), apply( f( X ), apply( X, f( 
% 120.91/121.38    X ) ) ) ) ) ] )
% 120.91/121.38  , 0, 21, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, f( apply( apply( 
% 120.91/121.38    b, X ), Y ) ) )] ), substitution( 1, [ :=( X, apply( apply( b, X ), Y ) )] )
% 120.91/121.38    ).
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  paramod(
% 120.91/121.38  clause( 2517, [ ~( =( apply( X, apply( Y, f( apply( apply( b, X ), Y ) ) )
% 120.91/121.38     ), apply( f( apply( apply( b, X ), Y ) ), apply( X, apply( Y, f( apply( 
% 120.91/121.38    apply( b, X ), Y ) ) ) ) ) ) ) ] )
% 120.91/121.38  , clause( 0, [ =( apply( apply( apply( b, X ), Y ), Z ), apply( X, apply( Y
% 120.91/121.38    , Z ) ) ) ] )
% 120.91/121.38  , 0, clause( 2516, [ ~( =( apply( apply( apply( b, X ), Y ), f( apply( 
% 120.91/121.38    apply( b, X ), Y ) ) ), apply( f( apply( apply( b, X ), Y ) ), apply( X, 
% 120.91/121.38    apply( Y, f( apply( apply( b, X ), Y ) ) ) ) ) ) ) ] )
% 120.91/121.38  , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, f( apply( apply( 
% 120.91/121.38    b, X ), Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  eqswap(
% 120.91/121.38  clause( 2519, [ ~( =( apply( f( apply( apply( b, X ), Y ) ), apply( X, 
% 120.91/121.38    apply( Y, f( apply( apply( b, X ), Y ) ) ) ) ), apply( X, apply( Y, f( 
% 120.91/121.38    apply( apply( b, X ), Y ) ) ) ) ) ) ] )
% 120.91/121.38  , clause( 2517, [ ~( =( apply( X, apply( Y, f( apply( apply( b, X ), Y ) )
% 120.91/121.38     ) ), apply( f( apply( apply( b, X ), Y ) ), apply( X, apply( Y, f( apply( 
% 120.91/121.38    apply( b, X ), Y ) ) ) ) ) ) ) ] )
% 120.91/121.38  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  subsumption(
% 120.91/121.38  clause( 33, [ ~( =( apply( f( apply( apply( b, X ), Y ) ), apply( X, apply( 
% 120.91/121.38    Y, f( apply( apply( b, X ), Y ) ) ) ) ), apply( X, apply( Y, f( apply( 
% 120.91/121.38    apply( b, X ), Y ) ) ) ) ) ) ] )
% 120.91/121.38  , clause( 2519, [ ~( =( apply( f( apply( apply( b, X ), Y ) ), apply( X, 
% 120.91/121.38    apply( Y, f( apply( apply( b, X ), Y ) ) ) ) ), apply( X, apply( Y, f( 
% 120.91/121.38    apply( apply( b, X ), Y ) ) ) ) ) ) ] )
% 120.91/121.38  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 120.91/121.38     )] ) ).
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  eqswap(
% 120.91/121.38  clause( 2522, [ ~( =( apply( X, apply( Y, f( apply( apply( b, X ), Y ) ) )
% 120.91/121.38     ), apply( f( apply( apply( b, X ), Y ) ), apply( X, apply( Y, f( apply( 
% 120.91/121.38    apply( b, X ), Y ) ) ) ) ) ) ) ] )
% 120.91/121.38  , clause( 33, [ ~( =( apply( f( apply( apply( b, X ), Y ) ), apply( X, 
% 120.91/121.38    apply( Y, f( apply( apply( b, X ), Y ) ) ) ) ), apply( X, apply( Y, f( 
% 120.91/121.38    apply( apply( b, X ), Y ) ) ) ) ) ) ] )
% 120.91/121.38  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  paramod(
% 120.91/121.38  clause( 2531, [ ~( =( apply( m, apply( X, f( apply( apply( b, m ), X ) ) )
% 120.91/121.38     ), apply( apply( l, f( apply( apply( b, m ), X ) ) ), apply( X, f( apply( 
% 120.91/121.38    apply( b, m ), X ) ) ) ) ) ) ] )
% 120.91/121.38  , clause( 13, [ =( apply( Y, apply( m, X ) ), apply( apply( l, Y ), X ) ) ]
% 120.91/121.38     )
% 120.91/121.38  , 0, clause( 2522, [ ~( =( apply( X, apply( Y, f( apply( apply( b, X ), Y )
% 120.91/121.38     ) ) ), apply( f( apply( apply( b, X ), Y ) ), apply( X, apply( Y, f( 
% 120.91/121.38    apply( apply( b, X ), Y ) ) ) ) ) ) ) ] )
% 120.91/121.38  , 0, 12, substitution( 0, [ :=( X, apply( X, f( apply( apply( b, m ), X ) )
% 120.91/121.38     ) ), :=( Y, f( apply( apply( b, m ), X ) ) )] ), substitution( 1, [ :=( 
% 120.91/121.38    X, m ), :=( Y, X )] )).
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  eqswap(
% 120.91/121.38  clause( 2554, [ ~( =( apply( apply( l, f( apply( apply( b, m ), X ) ) ), 
% 120.91/121.38    apply( X, f( apply( apply( b, m ), X ) ) ) ), apply( m, apply( X, f( 
% 120.91/121.38    apply( apply( b, m ), X ) ) ) ) ) ) ] )
% 120.91/121.38  , clause( 2531, [ ~( =( apply( m, apply( X, f( apply( apply( b, m ), X ) )
% 120.91/121.38     ) ), apply( apply( l, f( apply( apply( b, m ), X ) ) ), apply( X, f( 
% 120.91/121.38    apply( apply( b, m ), X ) ) ) ) ) ) ] )
% 120.91/121.38  , 0, substitution( 0, [ :=( X, X )] )).
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  subsumption(
% 120.91/121.38  clause( 469, [ ~( =( apply( apply( l, f( apply( apply( b, m ), X ) ) ), 
% 120.91/121.38    apply( X, f( apply( apply( b, m ), X ) ) ) ), apply( m, apply( X, f( 
% 120.91/121.38    apply( apply( b, m ), X ) ) ) ) ) ) ] )
% 120.91/121.38  , clause( 2554, [ ~( =( apply( apply( l, f( apply( apply( b, m ), X ) ) ), 
% 120.91/121.38    apply( X, f( apply( apply( b, m ), X ) ) ) ), apply( m, apply( X, f( 
% 120.91/121.38    apply( apply( b, m ), X ) ) ) ) ) ) ] )
% 120.91/121.38  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  eqswap(
% 120.91/121.38  clause( 2555, [ =( apply( X, X ), apply( m, X ) ) ] )
% 120.91/121.38  , clause( 2, [ =( apply( m, X ), apply( X, X ) ) ] )
% 120.91/121.38  , 0, substitution( 0, [ :=( X, X )] )).
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  eqswap(
% 120.91/121.38  clause( 2556, [ ~( =( apply( m, apply( X, f( apply( apply( b, m ), X ) ) )
% 120.91/121.38     ), apply( apply( l, f( apply( apply( b, m ), X ) ) ), apply( X, f( apply( 
% 120.91/121.38    apply( b, m ), X ) ) ) ) ) ) ] )
% 120.91/121.38  , clause( 469, [ ~( =( apply( apply( l, f( apply( apply( b, m ), X ) ) ), 
% 120.91/121.38    apply( X, f( apply( apply( b, m ), X ) ) ) ), apply( m, apply( X, f( 
% 120.91/121.38    apply( apply( b, m ), X ) ) ) ) ) ) ] )
% 120.91/121.38  , 0, substitution( 0, [ :=( X, X )] )).
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  paramod(
% 120.91/121.38  clause( 2560, [ ~( =( apply( m, apply( l, f( apply( apply( b, m ), l ) ) )
% 120.91/121.38     ), apply( m, apply( l, f( apply( apply( b, m ), l ) ) ) ) ) ) ] )
% 120.91/121.38  , clause( 2555, [ =( apply( X, X ), apply( m, X ) ) ] )
% 120.91/121.38  , 0, clause( 2556, [ ~( =( apply( m, apply( X, f( apply( apply( b, m ), X )
% 120.91/121.38     ) ) ), apply( apply( l, f( apply( apply( b, m ), X ) ) ), apply( X, f( 
% 120.91/121.38    apply( apply( b, m ), X ) ) ) ) ) ) ] )
% 120.91/121.38  , 0, 12, substitution( 0, [ :=( X, apply( l, f( apply( apply( b, m ), l ) )
% 120.91/121.38     ) )] ), substitution( 1, [ :=( X, l )] )).
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  eqrefl(
% 120.91/121.38  clause( 2565, [] )
% 120.91/121.38  , clause( 2560, [ ~( =( apply( m, apply( l, f( apply( apply( b, m ), l ) )
% 120.91/121.38     ) ), apply( m, apply( l, f( apply( apply( b, m ), l ) ) ) ) ) ) ] )
% 120.91/121.38  , 0, substitution( 0, [] )).
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  subsumption(
% 120.91/121.38  clause( 2477, [] )
% 120.91/121.38  , clause( 2565, [] )
% 120.91/121.38  , substitution( 0, [] ), permutation( 0, [] ) ).
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  end.
% 120.91/121.38  
% 120.91/121.38  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 120.91/121.38  
% 120.91/121.38  Memory use:
% 120.91/121.38  
% 120.91/121.38  space for terms:        62866
% 120.91/121.38  space for clauses:      430592
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  clauses generated:      950075
% 120.91/121.38  clauses kept:           2478
% 120.91/121.38  clauses selected:       661
% 120.91/121.38  clauses deleted:        415
% 120.91/121.38  clauses inuse deleted:  5
% 120.91/121.38  
% 120.91/121.38  subsentry:          73364
% 120.91/121.38  literals s-matched: 72297
% 120.91/121.38  literals matched:   72277
% 120.91/121.38  full subsumption:   0
% 120.91/121.38  
% 120.91/121.38  checksum:           1559573622
% 120.91/121.38  
% 120.91/121.38  
% 120.91/121.38  Bliksem ended
%------------------------------------------------------------------------------