TSTP Solution File: COL030-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : COL030-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n028.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 206.78s 207.19s
% Output   : Refutation 206.78s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : COL030-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n028.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 09:09:35 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 206.78/207.18  *** allocated 10000 integers for termspace/termends
% 206.78/207.18  *** allocated 10000 integers for clauses
% 206.78/207.18  *** allocated 10000 integers for justifications
% 206.78/207.18  Bliksem 1.12
% 206.78/207.18  
% 206.78/207.18  
% 206.78/207.18  Automatic Strategy Selection
% 206.78/207.18  
% 206.78/207.18  Clauses:
% 206.78/207.18  [
% 206.78/207.18     [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z ), apply( 
% 206.78/207.18    Y, Z ) ) ) ],
% 206.78/207.18     [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ],
% 206.78/207.18     [ ~( =( apply( X, f( X ) ), apply( f( X ), apply( X, f( X ) ) ) ) ) ]
% 206.78/207.18  ] .
% 206.78/207.18  
% 206.78/207.18  
% 206.78/207.18  percentage equality = 1.000000, percentage horn = 1.000000
% 206.78/207.18  This is a pure equality problem
% 206.78/207.18  
% 206.78/207.18  
% 206.78/207.18  
% 206.78/207.18  Options Used:
% 206.78/207.18  
% 206.78/207.18  useres =            1
% 206.78/207.18  useparamod =        1
% 206.78/207.18  useeqrefl =         1
% 206.78/207.18  useeqfact =         1
% 206.78/207.18  usefactor =         1
% 206.78/207.18  usesimpsplitting =  0
% 206.78/207.18  usesimpdemod =      5
% 206.78/207.18  usesimpres =        3
% 206.78/207.18  
% 206.78/207.18  resimpinuse      =  1000
% 206.78/207.18  resimpclauses =     20000
% 206.78/207.18  substype =          eqrewr
% 206.78/207.18  backwardsubs =      1
% 206.78/207.18  selectoldest =      5
% 206.78/207.18  
% 206.78/207.18  litorderings [0] =  split
% 206.78/207.18  litorderings [1] =  extend the termordering, first sorting on arguments
% 206.78/207.18  
% 206.78/207.18  termordering =      kbo
% 206.78/207.18  
% 206.78/207.18  litapriori =        0
% 206.78/207.18  termapriori =       1
% 206.78/207.18  litaposteriori =    0
% 206.78/207.18  termaposteriori =   0
% 206.78/207.18  demodaposteriori =  0
% 206.78/207.18  ordereqreflfact =   0
% 206.78/207.18  
% 206.78/207.18  litselect =         negord
% 206.78/207.18  
% 206.78/207.18  maxweight =         15
% 206.78/207.18  maxdepth =          30000
% 206.78/207.18  maxlength =         115
% 206.78/207.18  maxnrvars =         195
% 206.78/207.18  excuselevel =       1
% 206.78/207.18  increasemaxweight = 1
% 206.78/207.18  
% 206.78/207.18  maxselected =       10000000
% 206.78/207.18  maxnrclauses =      10000000
% 206.78/207.18  
% 206.78/207.18  showgenerated =    0
% 206.78/207.18  showkept =         0
% 206.78/207.18  showselected =     0
% 206.78/207.18  showdeleted =      0
% 206.78/207.18  showresimp =       1
% 206.78/207.18  showstatus =       2000
% 206.78/207.18  
% 206.78/207.18  prologoutput =     1
% 206.78/207.18  nrgoals =          5000000
% 206.78/207.18  totalproof =       1
% 206.78/207.18  
% 206.78/207.18  Symbols occurring in the translation:
% 206.78/207.18  
% 206.78/207.18  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 206.78/207.18  .  [1, 2]      (w:1, o:20, a:1, s:1, b:0), 
% 206.78/207.18  !  [4, 1]      (w:0, o:14, a:1, s:1, b:0), 
% 206.78/207.18  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 206.78/207.18  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 206.78/207.18  s  [39, 0]      (w:1, o:5, a:1, s:1, b:0), 
% 206.78/207.18  apply  [41, 2]      (w:1, o:45, a:1, s:1, b:0), 
% 206.78/207.18  l  [44, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 206.78/207.18  f  [45, 1]      (w:1, o:19, a:1, s:1, b:0).
% 206.78/207.18  
% 206.78/207.18  
% 206.78/207.18  Starting Search:
% 206.78/207.18  
% 206.78/207.18  Resimplifying inuse:
% 206.78/207.18  Done
% 206.78/207.18  
% 206.78/207.18  Failed to find proof!
% 206.78/207.18  maxweight =   15
% 206.78/207.18  maxnrclauses = 10000000
% 206.78/207.18  Generated: 2868
% 206.78/207.18  Kept: 28
% 206.78/207.18  
% 206.78/207.18  
% 206.78/207.18  The strategy used was not complete!
% 206.78/207.18  
% 206.78/207.18  Increased maxweight to 16
% 206.78/207.18  
% 206.78/207.18  Starting Search:
% 206.78/207.18  
% 206.78/207.18  Resimplifying inuse:
% 206.78/207.18  Done
% 206.78/207.18  
% 206.78/207.18  Failed to find proof!
% 206.78/207.18  maxweight =   16
% 206.78/207.18  maxnrclauses = 10000000
% 206.78/207.18  Generated: 2868
% 206.78/207.18  Kept: 28
% 206.78/207.18  
% 206.78/207.18  
% 206.78/207.18  The strategy used was not complete!
% 206.78/207.18  
% 206.78/207.18  Increased maxweight to 17
% 206.78/207.18  
% 206.78/207.18  Starting Search:
% 206.78/207.18  
% 206.78/207.18  Resimplifying inuse:
% 206.78/207.18  Done
% 206.78/207.18  
% 206.78/207.18  Failed to find proof!
% 206.78/207.18  maxweight =   17
% 206.78/207.18  maxnrclauses = 10000000
% 206.78/207.18  Generated: 3037
% 206.78/207.18  Kept: 29
% 206.78/207.18  
% 206.78/207.18  
% 206.78/207.18  The strategy used was not complete!
% 206.78/207.18  
% 206.78/207.18  Increased maxweight to 18
% 206.78/207.18  
% 206.78/207.18  Starting Search:
% 206.78/207.18  
% 206.78/207.18  Resimplifying inuse:
% 206.78/207.18  Done
% 206.78/207.18  
% 206.78/207.18  Failed to find proof!
% 206.78/207.18  maxweight =   18
% 206.78/207.18  maxnrclauses = 10000000
% 206.78/207.18  Generated: 3037
% 206.78/207.18  Kept: 29
% 206.78/207.18  
% 206.78/207.18  
% 206.78/207.18  The strategy used was not complete!
% 206.78/207.18  
% 206.78/207.18  Increased maxweight to 19
% 206.78/207.18  
% 206.78/207.18  Starting Search:
% 206.78/207.18  
% 206.78/207.18  Resimplifying inuse:
% 206.78/207.18  Done
% 206.78/207.18  
% 206.78/207.18  Failed to find proof!
% 206.78/207.18  maxweight =   19
% 206.78/207.18  maxnrclauses = 10000000
% 206.78/207.18  Generated: 9985
% 206.78/207.18  Kept: 57
% 206.78/207.18  
% 206.78/207.18  
% 206.78/207.18  The strategy used was not complete!
% 206.78/207.18  
% 206.78/207.18  Increased maxweight to 20
% 206.78/207.18  
% 206.78/207.18  Starting Search:
% 206.78/207.18  
% 206.78/207.18  Resimplifying inuse:
% 206.78/207.18  Done
% 206.78/207.18  
% 206.78/207.18  Failed to find proof!
% 206.78/207.18  maxweight =   20
% 206.78/207.18  maxnrclauses = 10000000
% 206.78/207.18  Generated: 9985
% 206.78/207.18  Kept: 57
% 206.78/207.18  
% 206.78/207.18  
% 206.78/207.18  The strategy used was not complete!
% 206.78/207.18  
% 206.78/207.18  Increased maxweight to 21
% 206.78/207.18  
% 206.78/207.18  Starting Search:
% 206.78/207.18  
% 206.78/207.18  Resimplifying inuse:
% 206.78/207.18  Done
% 206.78/207.18  
% 206.78/207.18  Failed to find proof!
% 206.78/207.18  maxweight =   21
% 206.78/207.18  maxnrclauses = 10000000
% 206.78/207.18  Generated: 17049
% 206.78/207.18  Kept: 106
% 206.78/207.18  
% 206.78/207.18  
% 206.78/207.18  The strategy used was not complete!
% 206.78/207.18  
% 206.78/207.18  Increased maxweight to 22
% 206.78/207.18  
% 206.78/207.18  Starting Search:
% 206.78/207.18  
% 206.78/207.18  Resimplifying inuse:
% 206.78/207.18  Done
% 206.78/207.18  
% 206.78/207.18  Failed to find proof!
% 206.78/207.18  maxweight =   22
% 206.78/207.18  maxnrclauses = 10000000
% 206.78/207.18  Generated: 17049
% 206.78/207.18  Kept: 106
% 206.78/207.18  
% 206.78/207.18  
% 206.78/207.18  The strategy used was not complete!
% 206.78/207.18  
% 206.78/207.18  Increased maxweight to 23
% 206.78/207.18  
% 206.78/207.18  Starting Search:
% 206.78/207.18  
% 206.78/207.18  Resimplifying inuse:
% 206.78/207.18  Done
% 206.78/207.18  
% 206.78/207.18  Failed to find proof!
% 206.78/207.18  maxweight =   23
% 206.78/207.18  maxnrclauses = 10000000
% 206.78/207.18  Generated: 167723
% 206.78/207.18  Kept: 338
% 206.78/207.18  
% 206.78/207.18  
% 206.78/207.18  The strategy used was not complete!
% 206.78/207.18  
% 206.78/207.18  Increased maxweight to 24
% 206.78/207.18  
% 206.78/207.18  Starting Search:
% 206.78/207.18  
% 206.78/207.18  Resimplifying inuse:
% 206.78/207.18  Done
% 206.78/207.18  
% 206.78/207.18  Failed to find proof!
% 206.78/207.18  maxweight =   24
% 206.78/207.18  maxnrclauses = 10000000
% 206.78/207.18  Generated: 167723
% 206.78/207.18  Kept: 338
% 206.78/207.18  
% 206.78/207.18  
% 206.78/207.18  The strategy used was not complete!
% 206.78/207.18  
% 206.78/207.18  Increased maxweight to 25
% 206.78/207.18  
% 206.78/207.18  Starting Search:
% 206.78/207.18  
% 206.78/207.18  Resimplifying inuse:
% 206.78/207.18  Done
% 206.78/207.18  
% 206.78/207.18  Failed to find proof!
% 206.78/207.18  maxweight =   25
% 206.78/207.18  maxnrclauses = 10000000
% 206.78/207.18  Generated: 301111
% 206.78/207.18  Kept: 603
% 206.78/207.18  
% 206.78/207.18  
% 206.78/207.18  The strategy used was not complete!
% 206.78/207.18  
% 206.78/207.18  Increased maxweight to 26
% 206.78/207.18  
% 206.78/207.18  Starting Search:
% 206.78/207.18  
% 206.78/207.18  Resimplifying inuse:
% 206.78/207.18  Done
% 206.78/207.18  
% 206.78/207.18  Failed to find proof!
% 206.78/207.18  maxweight =   26
% 206.78/207.18  maxnrclauses = 10000000
% 206.78/207.18  Generated: 301111
% 206.78/207.18  Kept: 603
% 206.78/207.18  
% 206.78/207.18  
% 206.78/207.18  The strategy used was not complete!
% 206.78/207.18  
% 206.78/207.18  Increased maxweight to 27
% 206.78/207.18  
% 206.78/207.18  Starting Search:
% 206.78/207.18  
% 206.78/207.18  Resimplifying inuse:
% 206.78/207.18  Done
% 206.78/207.18  
% 206.78/207.18  Resimplifying inuse:
% 206.78/207.18  Done
% 206.78/207.18  
% 206.78/207.18  Resimplifying inuse:
% 206.78/207.18  Done
% 206.78/207.18  
% 206.78/207.18  Failed to find proof!
% 206.78/207.18  maxweight =   27
% 206.78/207.18  maxnrclauses = 10000000
% 206.78/207.18  Generated: 4338338
% 206.78/207.18  Kept: 1964
% 206.78/207.18  
% 206.78/207.18  
% 206.78/207.18  The strategy used was not complete!
% 206.78/207.18  
% 206.78/207.18  Increased maxweight to 28
% 206.78/207.18  
% 206.78/207.18  Starting Search:
% 206.78/207.18  
% 206.78/207.18  Resimplifying inuse:
% 206.78/207.18  Done
% 206.78/207.18  
% 206.78/207.18  Resimplifying inuse:
% 206.78/207.18  Done
% 206.78/207.18  
% 206.78/207.18  Resimplifying inuse:
% 206.78/207.18  Done
% 206.78/207.18  
% 206.78/207.18  Failed to find proof!
% 206.78/207.18  maxweight =   28
% 206.78/207.18  maxnrclauses = 10000000
% 206.78/207.18  Generated: 4338338
% 206.78/207.18  Kept: 1964
% 206.78/207.18  
% 206.78/207.18  
% 206.78/207.18  The strategy used was not complete!
% 206.78/207.18  
% 206.78/207.18  Increased maxweight to 29
% 206.78/207.18  
% 206.78/207.18  Starting Search:
% 206.78/207.18  
% 206.78/207.18  Resimplifying inuse:
% 206.78/207.18  Done
% 206.78/207.18  
% 206.78/207.18  
% 206.78/207.18  Intermediate Status:
% 206.78/207.18  Generated:    108799
% 206.78/207.18  Kept:         2000
% 206.78/207.18  Inuse:        178
% 206.78/207.18  Deleted:      74
% 206.78/207.18  Deletedinuse: 0
% 206.78/207.18  
% 206.78/207.18  Resimplifying inuse:
% 206.78/207.18  Done
% 206.78/207.18  
% 206.78/207.18  Resimplifying inuse:
% 206.78/207.18  Done
% 206.78/207.18  
% 206.78/207.18  Resimplifying inuse:
% 206.78/207.19  Done
% 206.78/207.19  
% 206.78/207.19  Failed to find proof!
% 206.78/207.19  maxweight =   29
% 206.78/207.19  maxnrclauses = 10000000
% 206.78/207.19  Generated: 7547686
% 206.78/207.19  Kept: 3394
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  The strategy used was not complete!
% 206.78/207.19  
% 206.78/207.19  Increased maxweight to 30
% 206.78/207.19  
% 206.78/207.19  Starting Search:
% 206.78/207.19  
% 206.78/207.19  Resimplifying inuse:
% 206.78/207.19  Done
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  Intermediate Status:
% 206.78/207.19  Generated:    108799
% 206.78/207.19  Kept:         2002
% 206.78/207.19  Inuse:        178
% 206.78/207.19  Deleted:      74
% 206.78/207.19  Deletedinuse: 0
% 206.78/207.19  
% 206.78/207.19  Resimplifying inuse:
% 206.78/207.19  Done
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  Bliksems!, er is een bewijs:
% 206.78/207.19  % SZS status Unsatisfiable
% 206.78/207.19  % SZS output start Refutation
% 206.78/207.19  
% 206.78/207.19  clause( 0, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z )
% 206.78/207.19    , apply( Y, Z ) ) ) ] )
% 206.78/207.19  .
% 206.78/207.19  clause( 1, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ] )
% 206.78/207.19  .
% 206.78/207.19  clause( 2, [ ~( =( apply( f( X ), apply( X, f( X ) ) ), apply( X, f( X ) )
% 206.78/207.19     ) ) ] )
% 206.78/207.19  .
% 206.78/207.19  clause( 19, [ =( apply( Z, apply( apply( apply( s, X ), X ), Y ) ), apply( 
% 206.78/207.19    apply( l, Z ), apply( X, Y ) ) ) ] )
% 206.78/207.19  .
% 206.78/207.19  clause( 117, [ ~( =( apply( apply( l, f( apply( apply( s, X ), X ) ) ), 
% 206.78/207.19    apply( X, f( apply( apply( s, X ), X ) ) ) ), apply( apply( apply( s, X )
% 206.78/207.19    , X ), f( apply( apply( s, X ), X ) ) ) ) ) ] )
% 206.78/207.19  .
% 206.78/207.19  clause( 2129, [ ~( =( apply( apply( apply( s, l ), X ), f( apply( apply( s
% 206.78/207.19    , X ), X ) ) ), apply( apply( apply( s, X ), X ), f( apply( apply( s, X )
% 206.78/207.19    , X ) ) ) ) ) ] )
% 206.78/207.19  .
% 206.78/207.19  clause( 2130, [] )
% 206.78/207.19  .
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  % SZS output end Refutation
% 206.78/207.19  found a proof!
% 206.78/207.19  
% 206.78/207.19  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 206.78/207.19  
% 206.78/207.19  initialclauses(
% 206.78/207.19  [ clause( 2132, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X
% 206.78/207.19    , Z ), apply( Y, Z ) ) ) ] )
% 206.78/207.19  , clause( 2133, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) )
% 206.78/207.19     ] )
% 206.78/207.19  , clause( 2134, [ ~( =( apply( X, f( X ) ), apply( f( X ), apply( X, f( X )
% 206.78/207.19     ) ) ) ) ] )
% 206.78/207.19  ] ).
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  subsumption(
% 206.78/207.19  clause( 0, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z )
% 206.78/207.19    , apply( Y, Z ) ) ) ] )
% 206.78/207.19  , clause( 2132, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X
% 206.78/207.19    , Z ), apply( Y, Z ) ) ) ] )
% 206.78/207.19  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 206.78/207.19    permutation( 0, [ ==>( 0, 0 )] ) ).
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  subsumption(
% 206.78/207.19  clause( 1, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ] )
% 206.78/207.19  , clause( 2133, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) )
% 206.78/207.19     ] )
% 206.78/207.19  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 206.78/207.19     )] ) ).
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  eqswap(
% 206.78/207.19  clause( 2140, [ ~( =( apply( f( X ), apply( X, f( X ) ) ), apply( X, f( X )
% 206.78/207.19     ) ) ) ] )
% 206.78/207.19  , clause( 2134, [ ~( =( apply( X, f( X ) ), apply( f( X ), apply( X, f( X )
% 206.78/207.19     ) ) ) ) ] )
% 206.78/207.19  , 0, substitution( 0, [ :=( X, X )] )).
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  subsumption(
% 206.78/207.19  clause( 2, [ ~( =( apply( f( X ), apply( X, f( X ) ) ), apply( X, f( X ) )
% 206.78/207.19     ) ) ] )
% 206.78/207.19  , clause( 2140, [ ~( =( apply( f( X ), apply( X, f( X ) ) ), apply( X, f( X
% 206.78/207.19     ) ) ) ) ] )
% 206.78/207.19  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  eqswap(
% 206.78/207.19  clause( 2141, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply( 
% 206.78/207.19    apply( s, X ), Y ), Z ) ) ] )
% 206.78/207.19  , clause( 0, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z
% 206.78/207.19     ), apply( Y, Z ) ) ) ] )
% 206.78/207.19  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  eqswap(
% 206.78/207.19  clause( 2142, [ =( apply( X, apply( Y, Y ) ), apply( apply( l, X ), Y ) ) ]
% 206.78/207.19     )
% 206.78/207.19  , clause( 1, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ]
% 206.78/207.19     )
% 206.78/207.19  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  paramod(
% 206.78/207.19  clause( 2144, [ =( apply( X, apply( apply( apply( s, Y ), Y ), Z ) ), apply( 
% 206.78/207.19    apply( l, X ), apply( Y, Z ) ) ) ] )
% 206.78/207.19  , clause( 2141, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply( 
% 206.78/207.19    apply( s, X ), Y ), Z ) ) ] )
% 206.78/207.19  , 0, clause( 2142, [ =( apply( X, apply( Y, Y ) ), apply( apply( l, X ), Y
% 206.78/207.19     ) ) ] )
% 206.78/207.19  , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Y ), :=( Z, Z )] ), 
% 206.78/207.19    substitution( 1, [ :=( X, X ), :=( Y, apply( Y, Z ) )] )).
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  subsumption(
% 206.78/207.19  clause( 19, [ =( apply( Z, apply( apply( apply( s, X ), X ), Y ) ), apply( 
% 206.78/207.19    apply( l, Z ), apply( X, Y ) ) ) ] )
% 206.78/207.19  , clause( 2144, [ =( apply( X, apply( apply( apply( s, Y ), Y ), Z ) ), 
% 206.78/207.19    apply( apply( l, X ), apply( Y, Z ) ) ) ] )
% 206.78/207.19  , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ), 
% 206.78/207.19    permutation( 0, [ ==>( 0, 0 )] ) ).
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  eqswap(
% 206.78/207.19  clause( 2152, [ ~( =( apply( X, f( X ) ), apply( f( X ), apply( X, f( X ) )
% 206.78/207.19     ) ) ) ] )
% 206.78/207.19  , clause( 2, [ ~( =( apply( f( X ), apply( X, f( X ) ) ), apply( X, f( X )
% 206.78/207.19     ) ) ) ] )
% 206.78/207.19  , 0, substitution( 0, [ :=( X, X )] )).
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  paramod(
% 206.78/207.19  clause( 2153, [ ~( =( apply( apply( apply( s, X ), X ), f( apply( apply( s
% 206.78/207.19    , X ), X ) ) ), apply( apply( l, f( apply( apply( s, X ), X ) ) ), apply( 
% 206.78/207.19    X, f( apply( apply( s, X ), X ) ) ) ) ) ) ] )
% 206.78/207.19  , clause( 19, [ =( apply( Z, apply( apply( apply( s, X ), X ), Y ) ), apply( 
% 206.78/207.19    apply( l, Z ), apply( X, Y ) ) ) ] )
% 206.78/207.19  , 0, clause( 2152, [ ~( =( apply( X, f( X ) ), apply( f( X ), apply( X, f( 
% 206.78/207.19    X ) ) ) ) ) ] )
% 206.78/207.19  , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, f( apply( apply( s, X ), X )
% 206.78/207.19     ) ), :=( Z, f( apply( apply( s, X ), X ) ) )] ), substitution( 1, [ :=( 
% 206.78/207.19    X, apply( apply( s, X ), X ) )] )).
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  eqswap(
% 206.78/207.19  clause( 2154, [ ~( =( apply( apply( l, f( apply( apply( s, X ), X ) ) ), 
% 206.78/207.19    apply( X, f( apply( apply( s, X ), X ) ) ) ), apply( apply( apply( s, X )
% 206.78/207.19    , X ), f( apply( apply( s, X ), X ) ) ) ) ) ] )
% 206.78/207.19  , clause( 2153, [ ~( =( apply( apply( apply( s, X ), X ), f( apply( apply( 
% 206.78/207.19    s, X ), X ) ) ), apply( apply( l, f( apply( apply( s, X ), X ) ) ), apply( 
% 206.78/207.19    X, f( apply( apply( s, X ), X ) ) ) ) ) ) ] )
% 206.78/207.19  , 0, substitution( 0, [ :=( X, X )] )).
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  subsumption(
% 206.78/207.19  clause( 117, [ ~( =( apply( apply( l, f( apply( apply( s, X ), X ) ) ), 
% 206.78/207.19    apply( X, f( apply( apply( s, X ), X ) ) ) ), apply( apply( apply( s, X )
% 206.78/207.19    , X ), f( apply( apply( s, X ), X ) ) ) ) ) ] )
% 206.78/207.19  , clause( 2154, [ ~( =( apply( apply( l, f( apply( apply( s, X ), X ) ) ), 
% 206.78/207.19    apply( X, f( apply( apply( s, X ), X ) ) ) ), apply( apply( apply( s, X )
% 206.78/207.19    , X ), f( apply( apply( s, X ), X ) ) ) ) ) ] )
% 206.78/207.19  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  eqswap(
% 206.78/207.19  clause( 2155, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply( 
% 206.78/207.19    apply( s, X ), Y ), Z ) ) ] )
% 206.78/207.19  , clause( 0, [ =( apply( apply( apply( s, X ), Y ), Z ), apply( apply( X, Z
% 206.78/207.19     ), apply( Y, Z ) ) ) ] )
% 206.78/207.19  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  eqswap(
% 206.78/207.19  clause( 2156, [ ~( =( apply( apply( apply( s, X ), X ), f( apply( apply( s
% 206.78/207.19    , X ), X ) ) ), apply( apply( l, f( apply( apply( s, X ), X ) ) ), apply( 
% 206.78/207.19    X, f( apply( apply( s, X ), X ) ) ) ) ) ) ] )
% 206.78/207.19  , clause( 117, [ ~( =( apply( apply( l, f( apply( apply( s, X ), X ) ) ), 
% 206.78/207.19    apply( X, f( apply( apply( s, X ), X ) ) ) ), apply( apply( apply( s, X )
% 206.78/207.19    , X ), f( apply( apply( s, X ), X ) ) ) ) ) ] )
% 206.78/207.19  , 0, substitution( 0, [ :=( X, X )] )).
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  paramod(
% 206.78/207.19  clause( 2157, [ ~( =( apply( apply( apply( s, X ), X ), f( apply( apply( s
% 206.78/207.19    , X ), X ) ) ), apply( apply( apply( s, l ), X ), f( apply( apply( s, X )
% 206.78/207.19    , X ) ) ) ) ) ] )
% 206.78/207.19  , clause( 2155, [ =( apply( apply( X, Z ), apply( Y, Z ) ), apply( apply( 
% 206.78/207.19    apply( s, X ), Y ), Z ) ) ] )
% 206.78/207.19  , 0, clause( 2156, [ ~( =( apply( apply( apply( s, X ), X ), f( apply( 
% 206.78/207.19    apply( s, X ), X ) ) ), apply( apply( l, f( apply( apply( s, X ), X ) ) )
% 206.78/207.19    , apply( X, f( apply( apply( s, X ), X ) ) ) ) ) ) ] )
% 206.78/207.19  , 0, 14, substitution( 0, [ :=( X, l ), :=( Y, X ), :=( Z, f( apply( apply( 
% 206.78/207.19    s, X ), X ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  eqswap(
% 206.78/207.19  clause( 2158, [ ~( =( apply( apply( apply( s, l ), X ), f( apply( apply( s
% 206.78/207.19    , X ), X ) ) ), apply( apply( apply( s, X ), X ), f( apply( apply( s, X )
% 206.78/207.19    , X ) ) ) ) ) ] )
% 206.78/207.19  , clause( 2157, [ ~( =( apply( apply( apply( s, X ), X ), f( apply( apply( 
% 206.78/207.19    s, X ), X ) ) ), apply( apply( apply( s, l ), X ), f( apply( apply( s, X
% 206.78/207.19     ), X ) ) ) ) ) ] )
% 206.78/207.19  , 0, substitution( 0, [ :=( X, X )] )).
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  subsumption(
% 206.78/207.19  clause( 2129, [ ~( =( apply( apply( apply( s, l ), X ), f( apply( apply( s
% 206.78/207.19    , X ), X ) ) ), apply( apply( apply( s, X ), X ), f( apply( apply( s, X )
% 206.78/207.19    , X ) ) ) ) ) ] )
% 206.78/207.19  , clause( 2158, [ ~( =( apply( apply( apply( s, l ), X ), f( apply( apply( 
% 206.78/207.19    s, X ), X ) ) ), apply( apply( apply( s, X ), X ), f( apply( apply( s, X
% 206.78/207.19     ), X ) ) ) ) ) ] )
% 206.78/207.19  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  eqswap(
% 206.78/207.19  clause( 2159, [ ~( =( apply( apply( apply( s, X ), X ), f( apply( apply( s
% 206.78/207.19    , X ), X ) ) ), apply( apply( apply( s, l ), X ), f( apply( apply( s, X )
% 206.78/207.19    , X ) ) ) ) ) ] )
% 206.78/207.19  , clause( 2129, [ ~( =( apply( apply( apply( s, l ), X ), f( apply( apply( 
% 206.78/207.19    s, X ), X ) ) ), apply( apply( apply( s, X ), X ), f( apply( apply( s, X
% 206.78/207.19     ), X ) ) ) ) ) ] )
% 206.78/207.19  , 0, substitution( 0, [ :=( X, X )] )).
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  eqrefl(
% 206.78/207.19  clause( 2160, [] )
% 206.78/207.19  , clause( 2159, [ ~( =( apply( apply( apply( s, X ), X ), f( apply( apply( 
% 206.78/207.19    s, X ), X ) ) ), apply( apply( apply( s, l ), X ), f( apply( apply( s, X
% 206.78/207.19     ), X ) ) ) ) ) ] )
% 206.78/207.19  , 0, substitution( 0, [ :=( X, l )] )).
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  subsumption(
% 206.78/207.19  clause( 2130, [] )
% 206.78/207.19  , clause( 2160, [] )
% 206.78/207.19  , substitution( 0, [] ), permutation( 0, [] ) ).
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  end.
% 206.78/207.19  
% 206.78/207.19  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 206.78/207.19  
% 206.78/207.19  Memory use:
% 206.78/207.19  
% 206.78/207.19  space for terms:        56816
% 206.78/207.19  space for clauses:      388682
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  clauses generated:      162387
% 206.78/207.19  clauses kept:           2131
% 206.78/207.19  clauses selected:       226
% 206.78/207.19  clauses deleted:        105
% 206.78/207.19  clauses inuse deleted:  5
% 206.78/207.19  
% 206.78/207.19  subsentry:          12431
% 206.78/207.19  literals s-matched: 12357
% 206.78/207.19  literals matched:   12357
% 206.78/207.19  full subsumption:   0
% 206.78/207.19  
% 206.78/207.19  checksum:           -1940677753
% 206.78/207.19  
% 206.78/207.19  
% 206.78/207.19  Bliksem ended
%------------------------------------------------------------------------------