TSTP Solution File: GRP166-3 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GRP166-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n023.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 : Sat Jul 16 07:35:41 EDT 2022

% Result   : Unsatisfiable 0.84s 1.32s
% Output   : Refutation 0.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP166-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command  : bliksem %s
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % DateTime : Tue Jun 14 02:15:06 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.84/1.32  *** allocated 10000 integers for termspace/termends
% 0.84/1.32  *** allocated 10000 integers for clauses
% 0.84/1.32  *** allocated 10000 integers for justifications
% 0.84/1.32  Bliksem 1.12
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  Automatic Strategy Selection
% 0.84/1.32  
% 0.84/1.32  Clauses:
% 0.84/1.32  [
% 0.84/1.32     [ =( multiply( identity, X ), X ) ],
% 0.84/1.32     [ =( multiply( inverse( X ), X ), identity ) ],
% 0.84/1.32     [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.84/1.32     ],
% 0.84/1.32     [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( Y, X ) ) ]
% 0.84/1.32    ,
% 0.84/1.32     [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) ) ],
% 0.84/1.32     [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, Z ) ), 
% 0.84/1.32    'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ],
% 0.84/1.32     [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) ), 
% 0.84/1.32    'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ],
% 0.84/1.32     [ =( 'least_upper_bound'( X, X ), X ) ],
% 0.84/1.32     [ =( 'greatest_lower_bound'( X, X ), X ) ],
% 0.84/1.32     [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y ) ), X ) ]
% 0.84/1.32    ,
% 0.84/1.32     [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y ) ), X ) ]
% 0.84/1.32    ,
% 0.84/1.32     [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 'least_upper_bound'( 
% 0.84/1.32    multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.84/1.32     [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), 
% 0.84/1.32    'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ],
% 0.84/1.32     [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 'least_upper_bound'( 
% 0.84/1.32    multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.84/1.32     [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ), 
% 0.84/1.32    'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ],
% 0.84/1.32     [ =( 'least_upper_bound'( a, identity ), a ) ],
% 0.84/1.32     [ =( 'least_upper_bound'( b, identity ), b ) ],
% 0.84/1.32     [ ~( =( 'least_upper_bound'( a, multiply( b, a ) ), multiply( b, a ) ) )
% 0.84/1.32     ]
% 0.84/1.32  ] .
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  percentage equality = 1.000000, percentage horn = 1.000000
% 0.84/1.32  This is a pure equality problem
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  Options Used:
% 0.84/1.32  
% 0.84/1.32  useres =            1
% 0.84/1.32  useparamod =        1
% 0.84/1.32  useeqrefl =         1
% 0.84/1.32  useeqfact =         1
% 0.84/1.32  usefactor =         1
% 0.84/1.32  usesimpsplitting =  0
% 0.84/1.32  usesimpdemod =      5
% 0.84/1.32  usesimpres =        3
% 0.84/1.32  
% 0.84/1.32  resimpinuse      =  1000
% 0.84/1.32  resimpclauses =     20000
% 0.84/1.32  substype =          eqrewr
% 0.84/1.32  backwardsubs =      1
% 0.84/1.32  selectoldest =      5
% 0.84/1.32  
% 0.84/1.32  litorderings [0] =  split
% 0.84/1.32  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.84/1.32  
% 0.84/1.32  termordering =      kbo
% 0.84/1.32  
% 0.84/1.32  litapriori =        0
% 0.84/1.32  termapriori =       1
% 0.84/1.32  litaposteriori =    0
% 0.84/1.32  termaposteriori =   0
% 0.84/1.32  demodaposteriori =  0
% 0.84/1.32  ordereqreflfact =   0
% 0.84/1.32  
% 0.84/1.32  litselect =         negord
% 0.84/1.32  
% 0.84/1.32  maxweight =         15
% 0.84/1.32  maxdepth =          30000
% 0.84/1.32  maxlength =         115
% 0.84/1.32  maxnrvars =         195
% 0.84/1.32  excuselevel =       1
% 0.84/1.32  increasemaxweight = 1
% 0.84/1.32  
% 0.84/1.32  maxselected =       10000000
% 0.84/1.32  maxnrclauses =      10000000
% 0.84/1.32  
% 0.84/1.32  showgenerated =    0
% 0.84/1.32  showkept =         0
% 0.84/1.32  showselected =     0
% 0.84/1.32  showdeleted =      0
% 0.84/1.32  showresimp =       1
% 0.84/1.32  showstatus =       2000
% 0.84/1.32  
% 0.84/1.32  prologoutput =     1
% 0.84/1.32  nrgoals =          5000000
% 0.84/1.32  totalproof =       1
% 0.84/1.32  
% 0.84/1.32  Symbols occurring in the translation:
% 0.84/1.32  
% 0.84/1.32  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.84/1.32  .  [1, 2]      (w:1, o:21, a:1, s:1, b:0), 
% 0.84/1.32  !  [4, 1]      (w:0, o:15, a:1, s:1, b:0), 
% 0.84/1.32  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.84/1.32  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.84/1.32  identity  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.84/1.32  multiply  [41, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.84/1.32  inverse  [42, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.84/1.32  'greatest_lower_bound'  [45, 2]      (w:1, o:48, a:1, s:1, b:0), 
% 0.84/1.32  'least_upper_bound'  [46, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.84/1.32  a  [47, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.84/1.32  b  [48, 0]      (w:1, o:14, a:1, s:1, b:0).
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  Starting Search:
% 0.84/1.32  
% 0.84/1.32  Resimplifying inuse:
% 0.84/1.32  Done
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  Intermediate Status:
% 0.84/1.32  Generated:    27623
% 0.84/1.32  Kept:         2010
% 0.84/1.32  Inuse:        273
% 0.84/1.32  Deleted:      17
% 0.84/1.32  Deletedinuse: 6
% 0.84/1.32  
% 0.84/1.32  Resimplifying inuse:
% 0.84/1.32  Done
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  Bliksems!, er is een bewijs:
% 0.84/1.32  % SZS status Unsatisfiable
% 0.84/1.32  % SZS output start Refutation
% 0.84/1.32  
% 0.84/1.32  clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.84/1.32  .
% 0.84/1.32  clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 0.84/1.32     ] )
% 0.84/1.32  .
% 0.84/1.32  clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 0.84/1.32    , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.84/1.32  .
% 0.84/1.32  clause( 16, [ =( 'least_upper_bound'( b, identity ), b ) ] )
% 0.84/1.32  .
% 0.84/1.32  clause( 17, [ ~( =( 'least_upper_bound'( a, multiply( b, a ) ), multiply( b
% 0.84/1.32    , a ) ) ) ] )
% 0.84/1.32  .
% 0.84/1.32  clause( 19, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 0.84/1.32  .
% 0.84/1.32  clause( 109, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply( 
% 0.84/1.32    'least_upper_bound'( identity, Y ), X ) ) ] )
% 0.84/1.32  .
% 0.84/1.32  clause( 2292, [] )
% 0.84/1.32  .
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  % SZS output end Refutation
% 0.84/1.32  found a proof!
% 0.84/1.32  
% 0.84/1.32  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.84/1.32  
% 0.84/1.32  initialclauses(
% 0.84/1.32  [ clause( 2294, [ =( multiply( identity, X ), X ) ] )
% 0.84/1.32  , clause( 2295, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.84/1.32  , clause( 2296, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( 
% 0.84/1.32    Y, Z ) ) ) ] )
% 0.84/1.32  , clause( 2297, [ =( 'greatest_lower_bound'( X, Y ), 'greatest_lower_bound'( 
% 0.84/1.32    Y, X ) ) ] )
% 0.84/1.32  , clause( 2298, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.84/1.32     ) ) ] )
% 0.84/1.32  , clause( 2299, [ =( 'greatest_lower_bound'( X, 'greatest_lower_bound'( Y, 
% 0.84/1.32    Z ) ), 'greatest_lower_bound'( 'greatest_lower_bound'( X, Y ), Z ) ) ] )
% 0.84/1.32  , clause( 2300, [ =( 'least_upper_bound'( X, 'least_upper_bound'( Y, Z ) )
% 0.84/1.32    , 'least_upper_bound'( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.84/1.32  , clause( 2301, [ =( 'least_upper_bound'( X, X ), X ) ] )
% 0.84/1.32  , clause( 2302, [ =( 'greatest_lower_bound'( X, X ), X ) ] )
% 0.84/1.32  , clause( 2303, [ =( 'least_upper_bound'( X, 'greatest_lower_bound'( X, Y )
% 0.84/1.32     ), X ) ] )
% 0.84/1.32  , clause( 2304, [ =( 'greatest_lower_bound'( X, 'least_upper_bound'( X, Y )
% 0.84/1.32     ), X ) ] )
% 0.84/1.32  , clause( 2305, [ =( multiply( X, 'least_upper_bound'( Y, Z ) ), 
% 0.84/1.32    'least_upper_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.84/1.32  , clause( 2306, [ =( multiply( X, 'greatest_lower_bound'( Y, Z ) ), 
% 0.84/1.32    'greatest_lower_bound'( multiply( X, Y ), multiply( X, Z ) ) ) ] )
% 0.84/1.32  , clause( 2307, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 
% 0.84/1.32    'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.84/1.32  , clause( 2308, [ =( multiply( 'greatest_lower_bound'( X, Y ), Z ), 
% 0.84/1.32    'greatest_lower_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.84/1.32  , clause( 2309, [ =( 'least_upper_bound'( a, identity ), a ) ] )
% 0.84/1.32  , clause( 2310, [ =( 'least_upper_bound'( b, identity ), b ) ] )
% 0.84/1.32  , clause( 2311, [ ~( =( 'least_upper_bound'( a, multiply( b, a ) ), 
% 0.84/1.32    multiply( b, a ) ) ) ] )
% 0.84/1.32  ] ).
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  subsumption(
% 0.84/1.32  clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.84/1.32  , clause( 2294, [ =( multiply( identity, X ), X ) ] )
% 0.84/1.32  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  subsumption(
% 0.84/1.32  clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X ) )
% 0.84/1.32     ] )
% 0.84/1.32  , clause( 2298, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X
% 0.84/1.32     ) ) ] )
% 0.84/1.32  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.32     )] ) ).
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  eqswap(
% 0.84/1.32  clause( 2327, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 0.84/1.32     ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.84/1.32  , clause( 2307, [ =( multiply( 'least_upper_bound'( X, Y ), Z ), 
% 0.84/1.32    'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) ) ) ] )
% 0.84/1.32  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  subsumption(
% 0.84/1.32  clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z ) )
% 0.84/1.32    , multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.84/1.32  , clause( 2327, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z
% 0.84/1.32     ) ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.84/1.32  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.84/1.32    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  subsumption(
% 0.84/1.32  clause( 16, [ =( 'least_upper_bound'( b, identity ), b ) ] )
% 0.84/1.32  , clause( 2310, [ =( 'least_upper_bound'( b, identity ), b ) ] )
% 0.84/1.32  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  subsumption(
% 0.84/1.32  clause( 17, [ ~( =( 'least_upper_bound'( a, multiply( b, a ) ), multiply( b
% 0.84/1.32    , a ) ) ) ] )
% 0.84/1.32  , clause( 2311, [ ~( =( 'least_upper_bound'( a, multiply( b, a ) ), 
% 0.84/1.32    multiply( b, a ) ) ) ] )
% 0.84/1.32  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  eqswap(
% 0.84/1.32  clause( 2359, [ =( b, 'least_upper_bound'( b, identity ) ) ] )
% 0.84/1.32  , clause( 16, [ =( 'least_upper_bound'( b, identity ), b ) ] )
% 0.84/1.32  , 0, substitution( 0, [] )).
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  paramod(
% 0.84/1.32  clause( 2360, [ =( b, 'least_upper_bound'( identity, b ) ) ] )
% 0.84/1.32  , clause( 4, [ =( 'least_upper_bound'( X, Y ), 'least_upper_bound'( Y, X )
% 0.84/1.32     ) ] )
% 0.84/1.32  , 0, clause( 2359, [ =( b, 'least_upper_bound'( b, identity ) ) ] )
% 0.84/1.32  , 0, 2, substitution( 0, [ :=( X, b ), :=( Y, identity )] ), substitution( 
% 0.84/1.32    1, [] )).
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  eqswap(
% 0.84/1.32  clause( 2363, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 0.84/1.32  , clause( 2360, [ =( b, 'least_upper_bound'( identity, b ) ) ] )
% 0.84/1.32  , 0, substitution( 0, [] )).
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  subsumption(
% 0.84/1.32  clause( 19, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 0.84/1.32  , clause( 2363, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 0.84/1.32  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  eqswap(
% 0.84/1.32  clause( 2365, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), 
% 0.84/1.32    'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 0.84/1.32  , clause( 13, [ =( 'least_upper_bound'( multiply( X, Z ), multiply( Y, Z )
% 0.84/1.32     ), multiply( 'least_upper_bound'( X, Y ), Z ) ) ] )
% 0.84/1.32  , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  paramod(
% 0.84/1.32  clause( 2366, [ =( multiply( 'least_upper_bound'( identity, X ), Y ), 
% 0.84/1.32    'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 0.84/1.32  , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.84/1.32  , 0, clause( 2365, [ =( multiply( 'least_upper_bound'( X, Z ), Y ), 
% 0.84/1.32    'least_upper_bound'( multiply( X, Y ), multiply( Z, Y ) ) ) ] )
% 0.84/1.32  , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, 
% 0.84/1.32    identity ), :=( Y, Y ), :=( Z, X )] )).
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  eqswap(
% 0.84/1.32  clause( 2368, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply( 
% 0.84/1.32    'least_upper_bound'( identity, X ), Y ) ) ] )
% 0.84/1.32  , clause( 2366, [ =( multiply( 'least_upper_bound'( identity, X ), Y ), 
% 0.84/1.32    'least_upper_bound'( Y, multiply( X, Y ) ) ) ] )
% 0.84/1.32  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  subsumption(
% 0.84/1.32  clause( 109, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply( 
% 0.84/1.32    'least_upper_bound'( identity, Y ), X ) ) ] )
% 0.84/1.32  , clause( 2368, [ =( 'least_upper_bound'( Y, multiply( X, Y ) ), multiply( 
% 0.84/1.32    'least_upper_bound'( identity, X ), Y ) ) ] )
% 0.84/1.32  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.84/1.32     )] ) ).
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  eqswap(
% 0.84/1.32  clause( 2371, [ ~( =( multiply( b, a ), 'least_upper_bound'( a, multiply( b
% 0.84/1.32    , a ) ) ) ) ] )
% 0.84/1.32  , clause( 17, [ ~( =( 'least_upper_bound'( a, multiply( b, a ) ), multiply( 
% 0.84/1.32    b, a ) ) ) ] )
% 0.84/1.32  , 0, substitution( 0, [] )).
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  paramod(
% 0.84/1.32  clause( 2373, [ ~( =( multiply( b, a ), multiply( 'least_upper_bound'( 
% 0.84/1.32    identity, b ), a ) ) ) ] )
% 0.84/1.32  , clause( 109, [ =( 'least_upper_bound'( X, multiply( Y, X ) ), multiply( 
% 0.84/1.32    'least_upper_bound'( identity, Y ), X ) ) ] )
% 0.84/1.32  , 0, clause( 2371, [ ~( =( multiply( b, a ), 'least_upper_bound'( a, 
% 0.84/1.32    multiply( b, a ) ) ) ) ] )
% 0.84/1.32  , 0, 5, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.84/1.32    ).
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  paramod(
% 0.84/1.32  clause( 2374, [ ~( =( multiply( b, a ), multiply( b, a ) ) ) ] )
% 0.84/1.32  , clause( 19, [ =( 'least_upper_bound'( identity, b ), b ) ] )
% 0.84/1.32  , 0, clause( 2373, [ ~( =( multiply( b, a ), multiply( 'least_upper_bound'( 
% 0.84/1.32    identity, b ), a ) ) ) ] )
% 0.84/1.32  , 0, 6, substitution( 0, [] ), substitution( 1, [] )).
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  eqrefl(
% 0.84/1.32  clause( 2375, [] )
% 0.84/1.32  , clause( 2374, [ ~( =( multiply( b, a ), multiply( b, a ) ) ) ] )
% 0.84/1.32  , 0, substitution( 0, [] )).
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  subsumption(
% 0.84/1.32  clause( 2292, [] )
% 0.84/1.32  , clause( 2375, [] )
% 0.84/1.32  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  end.
% 0.84/1.32  
% 0.84/1.32  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.84/1.32  
% 0.84/1.32  Memory use:
% 0.84/1.32  
% 0.84/1.32  space for terms:        28595
% 0.84/1.32  space for clauses:      233155
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  clauses generated:      29524
% 0.84/1.32  clauses kept:           2293
% 0.84/1.32  clauses selected:       294
% 0.84/1.32  clauses deleted:        18
% 0.84/1.32  clauses inuse deleted:  6
% 0.84/1.32  
% 0.84/1.32  subsentry:          4227
% 0.84/1.32  literals s-matched: 4055
% 0.84/1.32  literals matched:   4055
% 0.84/1.32  full subsumption:   0
% 0.84/1.32  
% 0.84/1.32  checksum:           -413870675
% 0.84/1.32  
% 0.84/1.32  
% 0.84/1.32  Bliksem ended
%------------------------------------------------------------------------------