TSTP Solution File: COL035-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : COL035-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n022.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 69.77s 70.17s
% Output   : Refutation 69.77s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : COL035-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Tue May 31 09:43:52 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 69.77/70.17  *** allocated 10000 integers for termspace/termends
% 69.77/70.17  *** allocated 10000 integers for clauses
% 69.77/70.17  *** allocated 10000 integers for justifications
% 69.77/70.17  Bliksem 1.12
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  Automatic Strategy Selection
% 69.77/70.17  
% 69.77/70.17  Clauses:
% 69.77/70.17  [
% 69.77/70.17     [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ],
% 69.77/70.17     [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ],
% 69.77/70.17     [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply( X, Z ) ) )
% 69.77/70.17     ],
% 69.77/70.17     [ ~( =( apply( X, f( X ) ), apply( f( X ), apply( X, f( X ) ) ) ) ) ]
% 69.77/70.17  ] .
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  percentage equality = 1.000000, percentage horn = 1.000000
% 69.77/70.17  This is a pure equality problem
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  Options Used:
% 69.77/70.17  
% 69.77/70.17  useres =            1
% 69.77/70.17  useparamod =        1
% 69.77/70.17  useeqrefl =         1
% 69.77/70.17  useeqfact =         1
% 69.77/70.17  usefactor =         1
% 69.77/70.17  usesimpsplitting =  0
% 69.77/70.17  usesimpdemod =      5
% 69.77/70.17  usesimpres =        3
% 69.77/70.17  
% 69.77/70.17  resimpinuse      =  1000
% 69.77/70.17  resimpclauses =     20000
% 69.77/70.17  substype =          eqrewr
% 69.77/70.17  backwardsubs =      1
% 69.77/70.17  selectoldest =      5
% 69.77/70.17  
% 69.77/70.17  litorderings [0] =  split
% 69.77/70.17  litorderings [1] =  extend the termordering, first sorting on arguments
% 69.77/70.17  
% 69.77/70.17  termordering =      kbo
% 69.77/70.17  
% 69.77/70.17  litapriori =        0
% 69.77/70.17  termapriori =       1
% 69.77/70.17  litaposteriori =    0
% 69.77/70.17  termaposteriori =   0
% 69.77/70.17  demodaposteriori =  0
% 69.77/70.17  ordereqreflfact =   0
% 69.77/70.17  
% 69.77/70.17  litselect =         negord
% 69.77/70.17  
% 69.77/70.17  maxweight =         15
% 69.77/70.17  maxdepth =          30000
% 69.77/70.17  maxlength =         115
% 69.77/70.17  maxnrvars =         195
% 69.77/70.17  excuselevel =       1
% 69.77/70.17  increasemaxweight = 1
% 69.77/70.17  
% 69.77/70.17  maxselected =       10000000
% 69.77/70.17  maxnrclauses =      10000000
% 69.77/70.17  
% 69.77/70.17  showgenerated =    0
% 69.77/70.17  showkept =         0
% 69.77/70.17  showselected =     0
% 69.77/70.17  showdeleted =      0
% 69.77/70.17  showresimp =       1
% 69.77/70.17  showstatus =       2000
% 69.77/70.17  
% 69.77/70.17  prologoutput =     1
% 69.77/70.17  nrgoals =          5000000
% 69.77/70.17  totalproof =       1
% 69.77/70.17  
% 69.77/70.17  Symbols occurring in the translation:
% 69.77/70.17  
% 69.77/70.17  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 69.77/70.17  .  [1, 2]      (w:1, o:21, a:1, s:1, b:0), 
% 69.77/70.17  !  [4, 1]      (w:0, o:15, a:1, s:1, b:0), 
% 69.77/70.17  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 69.77/70.17  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 69.77/70.17  l  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 69.77/70.17  apply  [41, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 69.77/70.17  w  [43, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 69.77/70.17  q  [44, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 69.77/70.17  f  [46, 1]      (w:1, o:20, a:1, s:1, b:0).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  Starting Search:
% 69.77/70.17  
% 69.77/70.17  Resimplifying inuse:
% 69.77/70.17  Done
% 69.77/70.17  
% 69.77/70.17  Failed to find proof!
% 69.77/70.17  maxweight =   15
% 69.77/70.17  maxnrclauses = 10000000
% 69.77/70.17  Generated: 8598
% 69.77/70.17  Kept: 93
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  The strategy used was not complete!
% 69.77/70.17  
% 69.77/70.17  Increased maxweight to 16
% 69.77/70.17  
% 69.77/70.17  Starting Search:
% 69.77/70.17  
% 69.77/70.17  Resimplifying inuse:
% 69.77/70.17  Done
% 69.77/70.17  
% 69.77/70.17  Failed to find proof!
% 69.77/70.17  maxweight =   16
% 69.77/70.17  maxnrclauses = 10000000
% 69.77/70.17  Generated: 8598
% 69.77/70.17  Kept: 93
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  The strategy used was not complete!
% 69.77/70.17  
% 69.77/70.17  Increased maxweight to 17
% 69.77/70.17  
% 69.77/70.17  Starting Search:
% 69.77/70.17  
% 69.77/70.17  Resimplifying inuse:
% 69.77/70.17  Done
% 69.77/70.17  
% 69.77/70.17  Failed to find proof!
% 69.77/70.17  maxweight =   17
% 69.77/70.17  maxnrclauses = 10000000
% 69.77/70.17  Generated: 61827
% 69.77/70.17  Kept: 278
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  The strategy used was not complete!
% 69.77/70.17  
% 69.77/70.17  Increased maxweight to 18
% 69.77/70.17  
% 69.77/70.17  Starting Search:
% 69.77/70.17  
% 69.77/70.17  Resimplifying inuse:
% 69.77/70.17  Done
% 69.77/70.17  
% 69.77/70.17  Failed to find proof!
% 69.77/70.17  maxweight =   18
% 69.77/70.17  maxnrclauses = 10000000
% 69.77/70.17  Generated: 61827
% 69.77/70.17  Kept: 278
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  The strategy used was not complete!
% 69.77/70.17  
% 69.77/70.17  Increased maxweight to 19
% 69.77/70.17  
% 69.77/70.17  Starting Search:
% 69.77/70.17  
% 69.77/70.17  Resimplifying inuse:
% 69.77/70.17  Done
% 69.77/70.17  
% 69.77/70.17  Resimplifying inuse:
% 69.77/70.17  Done
% 69.77/70.17  
% 69.77/70.17  Failed to find proof!
% 69.77/70.17  maxweight =   19
% 69.77/70.17  maxnrclauses = 10000000
% 69.77/70.17  Generated: 683106
% 69.77/70.17  Kept: 1019
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  The strategy used was not complete!
% 69.77/70.17  
% 69.77/70.17  Increased maxweight to 20
% 69.77/70.17  
% 69.77/70.17  Starting Search:
% 69.77/70.17  
% 69.77/70.17  Resimplifying inuse:
% 69.77/70.17  Done
% 69.77/70.17  
% 69.77/70.17  Resimplifying inuse:
% 69.77/70.17  Done
% 69.77/70.17  
% 69.77/70.17  Failed to find proof!
% 69.77/70.17  maxweight =   20
% 69.77/70.17  maxnrclauses = 10000000
% 69.77/70.17  Generated: 683106
% 69.77/70.17  Kept: 1019
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  The strategy used was not complete!
% 69.77/70.17  
% 69.77/70.17  Increased maxweight to 21
% 69.77/70.17  
% 69.77/70.17  Starting Search:
% 69.77/70.17  
% 69.77/70.17  Resimplifying inuse:
% 69.77/70.17  Done
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  Intermediate Status:
% 69.77/70.17  Generated:    303965
% 69.77/70.17  Kept:         2001
% 69.77/70.17  Inuse:        357
% 69.77/70.17  Deleted:      152
% 69.77/70.17  Deletedinuse: 25
% 69.77/70.17  
% 69.77/70.17  Resimplifying inuse:
% 69.77/70.17  Done
% 69.77/70.17  
% 69.77/70.17  Resimplifying inuse:
% 69.77/70.17  Done
% 69.77/70.17  
% 69.77/70.17  Resimplifying inuse:
% 69.77/70.17  Done
% 69.77/70.17  
% 69.77/70.17  Failed to find proof!
% 69.77/70.17  maxweight =   21
% 69.77/70.17  maxnrclauses = 10000000
% 69.77/70.17  Generated: 4256497
% 69.77/70.17  Kept: 3069
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  The strategy used was not complete!
% 69.77/70.17  
% 69.77/70.17  Increased maxweight to 22
% 69.77/70.17  
% 69.77/70.17  Starting Search:
% 69.77/70.17  
% 69.77/70.17  Resimplifying inuse:
% 69.77/70.17  Done
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  Intermediate Status:
% 69.77/70.17  Generated:    303965
% 69.77/70.17  Kept:         2001
% 69.77/70.17  Inuse:        357
% 69.77/70.17  Deleted:      152
% 69.77/70.17  Deletedinuse: 25
% 69.77/70.17  
% 69.77/70.17  Resimplifying inuse:
% 69.77/70.17  Done
% 69.77/70.17  
% 69.77/70.17  Resimplifying inuse:
% 69.77/70.17  Done
% 69.77/70.17  
% 69.77/70.17  Resimplifying inuse:
% 69.77/70.17  Done
% 69.77/70.17  
% 69.77/70.17  Failed to find proof!
% 69.77/70.17  maxweight =   22
% 69.77/70.17  maxnrclauses = 10000000
% 69.77/70.17  Generated: 4256497
% 69.77/70.17  Kept: 3069
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  The strategy used was not complete!
% 69.77/70.17  
% 69.77/70.17  Increased maxweight to 23
% 69.77/70.17  
% 69.77/70.17  Starting Search:
% 69.77/70.17  
% 69.77/70.17  Resimplifying inuse:
% 69.77/70.17  Done
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  Bliksems!, er is een bewijs:
% 69.77/70.17  % SZS status Unsatisfiable
% 69.77/70.17  % SZS output start Refutation
% 69.77/70.17  
% 69.77/70.17  clause( 0, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ] )
% 69.77/70.17  .
% 69.77/70.17  clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ] )
% 69.77/70.17  .
% 69.77/70.17  clause( 2, [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply( X, 
% 69.77/70.17    Z ) ) ) ] )
% 69.77/70.17  .
% 69.77/70.17  clause( 3, [ ~( =( apply( f( X ), apply( X, f( X ) ) ), apply( X, f( X ) )
% 69.77/70.17     ) ) ] )
% 69.77/70.17  .
% 69.77/70.17  clause( 36, [ =( apply( apply( l, apply( apply( q, X ), Y ) ), Z ), apply( 
% 69.77/70.17    Y, apply( X, apply( Z, Z ) ) ) ) ] )
% 69.77/70.17  .
% 69.77/70.17  clause( 40, [ =( apply( apply( w, apply( q, X ) ), Y ), apply( Y, apply( X
% 69.77/70.17    , Y ) ) ) ] )
% 69.77/70.17  .
% 69.77/70.17  clause( 50, [ ~( =( apply( apply( w, apply( q, X ) ), f( X ) ), apply( X, f( 
% 69.77/70.17    X ) ) ) ) ] )
% 69.77/70.17  .
% 69.77/70.17  clause( 1062, [ ~( =( apply( apply( apply( l, apply( apply( q, q ), w ) ), 
% 69.77/70.17    X ), f( apply( X, X ) ) ), apply( apply( X, X ), f( apply( X, X ) ) ) ) )
% 69.77/70.17     ] )
% 69.77/70.17  .
% 69.77/70.17  clause( 1091, [] )
% 69.77/70.17  .
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  % SZS output end Refutation
% 69.77/70.17  found a proof!
% 69.77/70.17  
% 69.77/70.17  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 69.77/70.17  
% 69.77/70.17  initialclauses(
% 69.77/70.17  [ clause( 1093, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) )
% 69.77/70.17     ] )
% 69.77/70.17  , clause( 1094, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) )
% 69.77/70.17     ] )
% 69.77/70.17  , clause( 1095, [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply( 
% 69.77/70.17    X, Z ) ) ) ] )
% 69.77/70.17  , clause( 1096, [ ~( =( apply( X, f( X ) ), apply( f( X ), apply( X, f( X )
% 69.77/70.17     ) ) ) ) ] )
% 69.77/70.17  ] ).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  subsumption(
% 69.77/70.17  clause( 0, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ] )
% 69.77/70.17  , clause( 1093, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) )
% 69.77/70.17     ] )
% 69.77/70.17  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 69.77/70.17     )] ) ).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  subsumption(
% 69.77/70.17  clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ] )
% 69.77/70.17  , clause( 1094, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) )
% 69.77/70.17     ] )
% 69.77/70.17  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 69.77/70.17     )] ) ).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  subsumption(
% 69.77/70.17  clause( 2, [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply( X, 
% 69.77/70.17    Z ) ) ) ] )
% 69.77/70.17  , clause( 1095, [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply( 
% 69.77/70.17    X, Z ) ) ) ] )
% 69.77/70.17  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 69.77/70.17    permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  eqswap(
% 69.77/70.17  clause( 1106, [ ~( =( apply( f( X ), apply( X, f( X ) ) ), apply( X, f( X )
% 69.77/70.17     ) ) ) ] )
% 69.77/70.17  , clause( 1096, [ ~( =( apply( X, f( X ) ), apply( f( X ), apply( X, f( X )
% 69.77/70.17     ) ) ) ) ] )
% 69.77/70.17  , 0, substitution( 0, [ :=( X, X )] )).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  subsumption(
% 69.77/70.17  clause( 3, [ ~( =( apply( f( X ), apply( X, f( X ) ) ), apply( X, f( X ) )
% 69.77/70.17     ) ) ] )
% 69.77/70.17  , clause( 1106, [ ~( =( apply( f( X ), apply( X, f( X ) ) ), apply( X, f( X
% 69.77/70.17     ) ) ) ) ] )
% 69.77/70.17  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  eqswap(
% 69.77/70.17  clause( 1107, [ =( apply( Y, apply( X, Z ) ), apply( apply( apply( q, X ), 
% 69.77/70.17    Y ), Z ) ) ] )
% 69.77/70.17  , clause( 2, [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply( X
% 69.77/70.17    , Z ) ) ) ] )
% 69.77/70.17  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  eqswap(
% 69.77/70.17  clause( 1108, [ =( apply( X, apply( Y, Y ) ), apply( apply( l, X ), Y ) ) ]
% 69.77/70.17     )
% 69.77/70.17  , clause( 0, [ =( apply( apply( l, X ), Y ), apply( X, apply( Y, Y ) ) ) ]
% 69.77/70.17     )
% 69.77/70.17  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  paramod(
% 69.77/70.17  clause( 1111, [ =( apply( X, apply( Y, apply( Z, Z ) ) ), apply( apply( l, 
% 69.77/70.17    apply( apply( q, Y ), X ) ), Z ) ) ] )
% 69.77/70.17  , clause( 1108, [ =( apply( X, apply( Y, Y ) ), apply( apply( l, X ), Y ) )
% 69.77/70.17     ] )
% 69.77/70.17  , 0, clause( 1107, [ =( apply( Y, apply( X, Z ) ), apply( apply( apply( q, 
% 69.77/70.17    X ), Y ), Z ) ) ] )
% 69.77/70.17  , 0, 8, substitution( 0, [ :=( X, apply( apply( q, Y ), X ) ), :=( Y, Z )] )
% 69.77/70.17    , substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, apply( Z, Z ) )] )
% 69.77/70.17    ).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  eqswap(
% 69.77/70.17  clause( 1118, [ =( apply( apply( l, apply( apply( q, Y ), X ) ), Z ), apply( 
% 69.77/70.17    X, apply( Y, apply( Z, Z ) ) ) ) ] )
% 69.77/70.17  , clause( 1111, [ =( apply( X, apply( Y, apply( Z, Z ) ) ), apply( apply( l
% 69.77/70.17    , apply( apply( q, Y ), X ) ), Z ) ) ] )
% 69.77/70.17  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  subsumption(
% 69.77/70.17  clause( 36, [ =( apply( apply( l, apply( apply( q, X ), Y ) ), Z ), apply( 
% 69.77/70.17    Y, apply( X, apply( Z, Z ) ) ) ) ] )
% 69.77/70.17  , clause( 1118, [ =( apply( apply( l, apply( apply( q, Y ), X ) ), Z ), 
% 69.77/70.17    apply( X, apply( Y, apply( Z, Z ) ) ) ) ] )
% 69.77/70.17  , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ), 
% 69.77/70.17    permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  eqswap(
% 69.77/70.17  clause( 1121, [ =( apply( Y, apply( X, Z ) ), apply( apply( apply( q, X ), 
% 69.77/70.17    Y ), Z ) ) ] )
% 69.77/70.17  , clause( 2, [ =( apply( apply( apply( q, X ), Y ), Z ), apply( Y, apply( X
% 69.77/70.17    , Z ) ) ) ] )
% 69.77/70.17  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  eqswap(
% 69.77/70.17  clause( 1122, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) ) ]
% 69.77/70.17     )
% 69.77/70.17  , clause( 1, [ =( apply( apply( w, X ), Y ), apply( apply( X, Y ), Y ) ) ]
% 69.77/70.17     )
% 69.77/70.17  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  paramod(
% 69.77/70.17  clause( 1125, [ =( apply( X, apply( Y, X ) ), apply( apply( w, apply( q, Y
% 69.77/70.17     ) ), X ) ) ] )
% 69.77/70.17  , clause( 1122, [ =( apply( apply( X, Y ), Y ), apply( apply( w, X ), Y ) )
% 69.77/70.17     ] )
% 69.77/70.17  , 0, clause( 1121, [ =( apply( Y, apply( X, Z ) ), apply( apply( apply( q, 
% 69.77/70.17    X ), Y ), Z ) ) ] )
% 69.77/70.17  , 0, 6, substitution( 0, [ :=( X, apply( q, Y ) ), :=( Y, X )] ), 
% 69.77/70.17    substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] )).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  eqswap(
% 69.77/70.17  clause( 1129, [ =( apply( apply( w, apply( q, Y ) ), X ), apply( X, apply( 
% 69.77/70.17    Y, X ) ) ) ] )
% 69.77/70.17  , clause( 1125, [ =( apply( X, apply( Y, X ) ), apply( apply( w, apply( q, 
% 69.77/70.17    Y ) ), X ) ) ] )
% 69.77/70.17  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  subsumption(
% 69.77/70.17  clause( 40, [ =( apply( apply( w, apply( q, X ) ), Y ), apply( Y, apply( X
% 69.77/70.17    , Y ) ) ) ] )
% 69.77/70.17  , clause( 1129, [ =( apply( apply( w, apply( q, Y ) ), X ), apply( X, apply( 
% 69.77/70.17    Y, X ) ) ) ] )
% 69.77/70.17  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 69.77/70.17     )] ) ).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  eqswap(
% 69.77/70.17  clause( 1131, [ =( apply( Y, apply( X, Y ) ), apply( apply( w, apply( q, X
% 69.77/70.17     ) ), Y ) ) ] )
% 69.77/70.17  , clause( 40, [ =( apply( apply( w, apply( q, X ) ), Y ), apply( Y, apply( 
% 69.77/70.17    X, Y ) ) ) ] )
% 69.77/70.17  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  eqswap(
% 69.77/70.17  clause( 1132, [ ~( =( apply( X, f( X ) ), apply( f( X ), apply( X, f( X ) )
% 69.77/70.17     ) ) ) ] )
% 69.77/70.17  , clause( 3, [ ~( =( apply( f( X ), apply( X, f( X ) ) ), apply( X, f( X )
% 69.77/70.17     ) ) ) ] )
% 69.77/70.17  , 0, substitution( 0, [ :=( X, X )] )).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  paramod(
% 69.77/70.17  clause( 1133, [ ~( =( apply( X, f( X ) ), apply( apply( w, apply( q, X ) )
% 69.77/70.17    , f( X ) ) ) ) ] )
% 69.77/70.17  , clause( 1131, [ =( apply( Y, apply( X, Y ) ), apply( apply( w, apply( q, 
% 69.77/70.17    X ) ), Y ) ) ] )
% 69.77/70.17  , 0, clause( 1132, [ ~( =( apply( X, f( X ) ), apply( f( X ), apply( X, f( 
% 69.77/70.17    X ) ) ) ) ) ] )
% 69.77/70.17  , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, f( X ) )] ), substitution( 1
% 69.77/70.17    , [ :=( X, X )] )).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  eqswap(
% 69.77/70.17  clause( 1134, [ ~( =( apply( apply( w, apply( q, X ) ), f( X ) ), apply( X
% 69.77/70.17    , f( X ) ) ) ) ] )
% 69.77/70.17  , clause( 1133, [ ~( =( apply( X, f( X ) ), apply( apply( w, apply( q, X )
% 69.77/70.17     ), f( X ) ) ) ) ] )
% 69.77/70.17  , 0, substitution( 0, [ :=( X, X )] )).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  subsumption(
% 69.77/70.17  clause( 50, [ ~( =( apply( apply( w, apply( q, X ) ), f( X ) ), apply( X, f( 
% 69.77/70.17    X ) ) ) ) ] )
% 69.77/70.17  , clause( 1134, [ ~( =( apply( apply( w, apply( q, X ) ), f( X ) ), apply( 
% 69.77/70.17    X, f( X ) ) ) ) ] )
% 69.77/70.17  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  eqswap(
% 69.77/70.17  clause( 1135, [ =( apply( Y, apply( X, apply( Z, Z ) ) ), apply( apply( l, 
% 69.77/70.17    apply( apply( q, X ), Y ) ), Z ) ) ] )
% 69.77/70.17  , clause( 36, [ =( apply( apply( l, apply( apply( q, X ), Y ) ), Z ), apply( 
% 69.77/70.17    Y, apply( X, apply( Z, Z ) ) ) ) ] )
% 69.77/70.17  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  eqswap(
% 69.77/70.17  clause( 1136, [ ~( =( apply( X, f( X ) ), apply( apply( w, apply( q, X ) )
% 69.77/70.17    , f( X ) ) ) ) ] )
% 69.77/70.17  , clause( 50, [ ~( =( apply( apply( w, apply( q, X ) ), f( X ) ), apply( X
% 69.77/70.17    , f( X ) ) ) ) ] )
% 69.77/70.17  , 0, substitution( 0, [ :=( X, X )] )).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  paramod(
% 69.77/70.17  clause( 1137, [ ~( =( apply( apply( X, X ), f( apply( X, X ) ) ), apply( 
% 69.77/70.17    apply( apply( l, apply( apply( q, q ), w ) ), X ), f( apply( X, X ) ) ) )
% 69.77/70.17     ) ] )
% 69.77/70.17  , clause( 1135, [ =( apply( Y, apply( X, apply( Z, Z ) ) ), apply( apply( l
% 69.77/70.17    , apply( apply( q, X ), Y ) ), Z ) ) ] )
% 69.77/70.17  , 0, clause( 1136, [ ~( =( apply( X, f( X ) ), apply( apply( w, apply( q, X
% 69.77/70.17     ) ), f( X ) ) ) ) ] )
% 69.77/70.17  , 0, 11, substitution( 0, [ :=( X, q ), :=( Y, w ), :=( Z, X )] ), 
% 69.77/70.17    substitution( 1, [ :=( X, apply( X, X ) )] )).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  eqswap(
% 69.77/70.17  clause( 1139, [ ~( =( apply( apply( apply( l, apply( apply( q, q ), w ) ), 
% 69.77/70.17    X ), f( apply( X, X ) ) ), apply( apply( X, X ), f( apply( X, X ) ) ) ) )
% 69.77/70.17     ] )
% 69.77/70.17  , clause( 1137, [ ~( =( apply( apply( X, X ), f( apply( X, X ) ) ), apply( 
% 69.77/70.17    apply( apply( l, apply( apply( q, q ), w ) ), X ), f( apply( X, X ) ) ) )
% 69.77/70.17     ) ] )
% 69.77/70.17  , 0, substitution( 0, [ :=( X, X )] )).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  subsumption(
% 69.77/70.17  clause( 1062, [ ~( =( apply( apply( apply( l, apply( apply( q, q ), w ) ), 
% 69.77/70.17    X ), f( apply( X, X ) ) ), apply( apply( X, X ), f( apply( X, X ) ) ) ) )
% 69.77/70.17     ] )
% 69.77/70.17  , clause( 1139, [ ~( =( apply( apply( apply( l, apply( apply( q, q ), w ) )
% 69.77/70.17    , X ), f( apply( X, X ) ) ), apply( apply( X, X ), f( apply( X, X ) ) ) )
% 69.77/70.17     ) ] )
% 69.77/70.17  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  eqswap(
% 69.77/70.17  clause( 1141, [ ~( =( apply( apply( X, X ), f( apply( X, X ) ) ), apply( 
% 69.77/70.17    apply( apply( l, apply( apply( q, q ), w ) ), X ), f( apply( X, X ) ) ) )
% 69.77/70.17     ) ] )
% 69.77/70.17  , clause( 1062, [ ~( =( apply( apply( apply( l, apply( apply( q, q ), w ) )
% 69.77/70.17    , X ), f( apply( X, X ) ) ), apply( apply( X, X ), f( apply( X, X ) ) ) )
% 69.77/70.17     ) ] )
% 69.77/70.17  , 0, substitution( 0, [ :=( X, X )] )).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  eqrefl(
% 69.77/70.17  clause( 1142, [] )
% 69.77/70.17  , clause( 1141, [ ~( =( apply( apply( X, X ), f( apply( X, X ) ) ), apply( 
% 69.77/70.17    apply( apply( l, apply( apply( q, q ), w ) ), X ), f( apply( X, X ) ) ) )
% 69.77/70.17     ) ] )
% 69.77/70.17  , 0, substitution( 0, [ :=( X, apply( l, apply( apply( q, q ), w ) ) )] )
% 69.77/70.17    ).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  subsumption(
% 69.77/70.17  clause( 1091, [] )
% 69.77/70.17  , clause( 1142, [] )
% 69.77/70.17  , substitution( 0, [] ), permutation( 0, [] ) ).
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  end.
% 69.77/70.17  
% 69.77/70.17  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 69.77/70.17  
% 69.77/70.17  Memory use:
% 69.77/70.17  
% 69.77/70.17  space for terms:        22498
% 69.77/70.17  space for clauses:      161638
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  clauses generated:      10362
% 69.77/70.17  clauses kept:           1092
% 69.77/70.17  clauses selected:       88
% 69.77/70.17  clauses deleted:        36
% 69.77/70.17  clauses inuse deleted:  11
% 69.77/70.17  
% 69.77/70.17  subsentry:          2139
% 69.77/70.17  literals s-matched: 1954
% 69.77/70.17  literals matched:   1954
% 69.77/70.17  full subsumption:   0
% 69.77/70.17  
% 69.77/70.17  checksum:           1654956973
% 69.77/70.17  
% 69.77/70.17  
% 69.77/70.17  Bliksem ended
%------------------------------------------------------------------------------