TSTP Solution File: GRP012-4 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GRP012-4 : 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 : Sat Jul 16 07:34:18 EDT 2022

% Result   : Unsatisfiable 0.44s 1.07s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP012-4 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n028.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Tue Jun 14 14:23:39 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.44/1.07  *** allocated 10000 integers for termspace/termends
% 0.44/1.07  *** allocated 10000 integers for clauses
% 0.44/1.07  *** allocated 10000 integers for justifications
% 0.44/1.07  Bliksem 1.12
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  Automatic Strategy Selection
% 0.44/1.07  
% 0.44/1.07  Clauses:
% 0.44/1.07  [
% 0.44/1.07     [ =( multiply( identity, X ), X ) ],
% 0.44/1.07     [ =( multiply( inverse( X ), X ), identity ) ],
% 0.44/1.07     [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y, Z ) ) )
% 0.44/1.07     ],
% 0.44/1.07     [ =( multiply( X, identity ), X ) ],
% 0.44/1.07     [ =( multiply( X, inverse( X ) ), identity ) ],
% 0.44/1.07     [ ~( =( inverse( multiply( a, b ) ), multiply( inverse( b ), inverse( a
% 0.44/1.07     ) ) ) ) ]
% 0.44/1.07  ] .
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  percentage equality = 1.000000, percentage horn = 1.000000
% 0.44/1.07  This is a pure equality problem
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  Options Used:
% 0.44/1.07  
% 0.44/1.07  useres =            1
% 0.44/1.07  useparamod =        1
% 0.44/1.07  useeqrefl =         1
% 0.44/1.07  useeqfact =         1
% 0.44/1.07  usefactor =         1
% 0.44/1.07  usesimpsplitting =  0
% 0.44/1.07  usesimpdemod =      5
% 0.44/1.07  usesimpres =        3
% 0.44/1.07  
% 0.44/1.07  resimpinuse      =  1000
% 0.44/1.07  resimpclauses =     20000
% 0.44/1.07  substype =          eqrewr
% 0.44/1.07  backwardsubs =      1
% 0.44/1.07  selectoldest =      5
% 0.44/1.07  
% 0.44/1.07  litorderings [0] =  split
% 0.44/1.07  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.44/1.07  
% 0.44/1.07  termordering =      kbo
% 0.44/1.07  
% 0.44/1.07  litapriori =        0
% 0.44/1.07  termapriori =       1
% 0.44/1.07  litaposteriori =    0
% 0.44/1.07  termaposteriori =   0
% 0.44/1.07  demodaposteriori =  0
% 0.44/1.07  ordereqreflfact =   0
% 0.44/1.07  
% 0.44/1.07  litselect =         negord
% 0.44/1.07  
% 0.44/1.07  maxweight =         15
% 0.44/1.07  maxdepth =          30000
% 0.44/1.07  maxlength =         115
% 0.44/1.07  maxnrvars =         195
% 0.44/1.07  excuselevel =       1
% 0.44/1.07  increasemaxweight = 1
% 0.44/1.07  
% 0.44/1.07  maxselected =       10000000
% 0.44/1.07  maxnrclauses =      10000000
% 0.44/1.07  
% 0.44/1.07  showgenerated =    0
% 0.44/1.07  showkept =         0
% 0.44/1.07  showselected =     0
% 0.44/1.07  showdeleted =      0
% 0.44/1.07  showresimp =       1
% 0.44/1.07  showstatus =       2000
% 0.44/1.07  
% 0.44/1.07  prologoutput =     1
% 0.44/1.07  nrgoals =          5000000
% 0.44/1.07  totalproof =       1
% 0.44/1.07  
% 0.44/1.07  Symbols occurring in the translation:
% 0.44/1.07  
% 0.44/1.07  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.44/1.07  .  [1, 2]      (w:1, o:21, a:1, s:1, b:0), 
% 0.44/1.07  !  [4, 1]      (w:0, o:15, a:1, s:1, b:0), 
% 0.44/1.07  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.44/1.07  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.44/1.07  identity  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.44/1.07  multiply  [41, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.44/1.07  inverse  [42, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.44/1.07  a  [45, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.44/1.07  b  [46, 0]      (w:1, o:14, a:1, s:1, b:0).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  Starting Search:
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  Bliksems!, er is een bewijs:
% 0.44/1.07  % SZS status Unsatisfiable
% 0.44/1.07  % SZS output start Refutation
% 0.44/1.07  
% 0.44/1.07  clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.44/1.07  .
% 0.44/1.07  clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.44/1.07  .
% 0.44/1.07  clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.44/1.07    , Z ) ) ] )
% 0.44/1.07  .
% 0.44/1.07  clause( 3, [ =( multiply( X, identity ), X ) ] )
% 0.44/1.07  .
% 0.44/1.07  clause( 4, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.44/1.07  .
% 0.44/1.07  clause( 5, [ ~( =( multiply( inverse( b ), inverse( a ) ), inverse( 
% 0.44/1.07    multiply( a, b ) ) ) ) ] )
% 0.44/1.07  .
% 0.44/1.07  clause( 7, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y ), 
% 0.44/1.07    identity ) ] )
% 0.44/1.07  .
% 0.44/1.07  clause( 9, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.44/1.07  .
% 0.44/1.07  clause( 15, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y ) )
% 0.44/1.07     ] )
% 0.44/1.07  .
% 0.44/1.07  clause( 19, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply( 
% 0.44/1.07    X, Y ) ) ) ] )
% 0.44/1.07  .
% 0.44/1.07  clause( 25, [] )
% 0.44/1.07  .
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  % SZS output end Refutation
% 0.44/1.07  found a proof!
% 0.44/1.07  
% 0.44/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.07  
% 0.44/1.07  initialclauses(
% 0.44/1.07  [ clause( 27, [ =( multiply( identity, X ), X ) ] )
% 0.44/1.07  , clause( 28, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.44/1.07  , clause( 29, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( 
% 0.44/1.07    Y, Z ) ) ) ] )
% 0.44/1.07  , clause( 30, [ =( multiply( X, identity ), X ) ] )
% 0.44/1.07  , clause( 31, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.44/1.07  , clause( 32, [ ~( =( inverse( multiply( a, b ) ), multiply( inverse( b ), 
% 0.44/1.07    inverse( a ) ) ) ) ] )
% 0.44/1.07  ] ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  subsumption(
% 0.44/1.07  clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.44/1.07  , clause( 27, [ =( multiply( identity, X ), X ) ] )
% 0.44/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  subsumption(
% 0.44/1.07  clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.44/1.07  , clause( 28, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.44/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  eqswap(
% 0.44/1.07  clause( 38, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.44/1.07     ), Z ) ) ] )
% 0.44/1.07  , clause( 29, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( 
% 0.44/1.07    Y, Z ) ) ) ] )
% 0.44/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  subsumption(
% 0.44/1.07  clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y )
% 0.44/1.07    , Z ) ) ] )
% 0.44/1.07  , clause( 38, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, 
% 0.44/1.07    Y ), Z ) ) ] )
% 0.44/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.44/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  subsumption(
% 0.44/1.07  clause( 3, [ =( multiply( X, identity ), X ) ] )
% 0.44/1.07  , clause( 30, [ =( multiply( X, identity ), X ) ] )
% 0.44/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  subsumption(
% 0.44/1.07  clause( 4, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.44/1.07  , clause( 31, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.44/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  eqswap(
% 0.44/1.07  clause( 53, [ ~( =( multiply( inverse( b ), inverse( a ) ), inverse( 
% 0.44/1.07    multiply( a, b ) ) ) ) ] )
% 0.44/1.07  , clause( 32, [ ~( =( inverse( multiply( a, b ) ), multiply( inverse( b ), 
% 0.44/1.07    inverse( a ) ) ) ) ] )
% 0.44/1.07  , 0, substitution( 0, [] )).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  subsumption(
% 0.44/1.07  clause( 5, [ ~( =( multiply( inverse( b ), inverse( a ) ), inverse( 
% 0.44/1.07    multiply( a, b ) ) ) ) ] )
% 0.44/1.07  , clause( 53, [ ~( =( multiply( inverse( b ), inverse( a ) ), inverse( 
% 0.44/1.07    multiply( a, b ) ) ) ) ] )
% 0.44/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  eqswap(
% 0.44/1.07  clause( 54, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.44/1.07    , Z ) ) ) ] )
% 0.44/1.07  , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.44/1.07     ), Z ) ) ] )
% 0.44/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  paramod(
% 0.44/1.07  clause( 57, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 0.44/1.07    , identity ) ] )
% 0.44/1.07  , clause( 1, [ =( multiply( inverse( X ), X ), identity ) ] )
% 0.44/1.07  , 0, clause( 54, [ =( multiply( multiply( X, Y ), Z ), multiply( X, 
% 0.44/1.07    multiply( Y, Z ) ) ) ] )
% 0.44/1.07  , 0, 9, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.44/1.07     :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  subsumption(
% 0.44/1.07  clause( 7, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y ), 
% 0.44/1.07    identity ) ] )
% 0.44/1.07  , clause( 57, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y
% 0.44/1.07     ), identity ) ] )
% 0.44/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.07     )] ) ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  eqswap(
% 0.44/1.07  clause( 63, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.44/1.07    , Z ) ) ) ] )
% 0.44/1.07  , clause( 2, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.44/1.07     ), Z ) ) ] )
% 0.44/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  paramod(
% 0.44/1.07  clause( 67, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply( X, 
% 0.44/1.07    identity ) ) ] )
% 0.44/1.07  , clause( 4, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.44/1.07  , 0, clause( 63, [ =( multiply( multiply( X, Y ), Z ), multiply( X, 
% 0.44/1.07    multiply( Y, Z ) ) ) ] )
% 0.44/1.07  , 0, 9, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ), 
% 0.44/1.07    :=( Y, Y ), :=( Z, inverse( Y ) )] )).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  paramod(
% 0.44/1.07  clause( 68, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.44/1.07  , clause( 3, [ =( multiply( X, identity ), X ) ] )
% 0.44/1.07  , 0, clause( 67, [ =( multiply( multiply( X, Y ), inverse( Y ) ), multiply( 
% 0.44/1.07    X, identity ) ) ] )
% 0.44/1.07  , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), 
% 0.44/1.07    :=( Y, Y )] )).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  subsumption(
% 0.44/1.07  clause( 9, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.44/1.07  , clause( 68, [ =( multiply( multiply( X, Y ), inverse( Y ) ), X ) ] )
% 0.44/1.07  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.07     )] ) ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  eqswap(
% 0.44/1.07  clause( 71, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.44/1.07  , clause( 9, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.44/1.07  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  paramod(
% 0.44/1.07  clause( 76, [ =( multiply( inverse( multiply( X, Y ) ), X ), multiply( 
% 0.44/1.07    identity, inverse( Y ) ) ) ] )
% 0.44/1.07  , clause( 7, [ =( multiply( multiply( inverse( multiply( X, Y ) ), X ), Y )
% 0.44/1.07    , identity ) ] )
% 0.44/1.07  , 0, clause( 71, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.44/1.07  , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 0.44/1.07    :=( X, multiply( inverse( multiply( X, Y ) ), X ) ), :=( Y, Y )] )).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  paramod(
% 0.44/1.07  clause( 77, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y ) )
% 0.44/1.07     ] )
% 0.44/1.07  , clause( 0, [ =( multiply( identity, X ), X ) ] )
% 0.44/1.07  , 0, clause( 76, [ =( multiply( inverse( multiply( X, Y ) ), X ), multiply( 
% 0.44/1.07    identity, inverse( Y ) ) ) ] )
% 0.44/1.07  , 0, 7, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [ 
% 0.44/1.07    :=( X, X ), :=( Y, Y )] )).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  subsumption(
% 0.44/1.07  clause( 15, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y ) )
% 0.44/1.07     ] )
% 0.44/1.07  , clause( 77, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 0.44/1.07     ) ] )
% 0.44/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.07     )] ) ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  eqswap(
% 0.44/1.07  clause( 80, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.44/1.07  , clause( 9, [ =( multiply( multiply( Y, X ), inverse( X ) ), Y ) ] )
% 0.44/1.07  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  paramod(
% 0.44/1.07  clause( 83, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ), 
% 0.44/1.07    inverse( X ) ) ) ] )
% 0.44/1.07  , clause( 15, [ =( multiply( inverse( multiply( X, Y ) ), X ), inverse( Y )
% 0.44/1.07     ) ] )
% 0.44/1.07  , 0, clause( 80, [ =( X, multiply( multiply( X, Y ), inverse( Y ) ) ) ] )
% 0.44/1.07  , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 0.44/1.07    :=( X, inverse( multiply( X, Y ) ) ), :=( Y, X )] )).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  eqswap(
% 0.44/1.07  clause( 84, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply( 
% 0.44/1.07    X, Y ) ) ) ] )
% 0.44/1.07  , clause( 83, [ =( inverse( multiply( X, Y ) ), multiply( inverse( Y ), 
% 0.44/1.07    inverse( X ) ) ) ] )
% 0.44/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  subsumption(
% 0.44/1.07  clause( 19, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( multiply( 
% 0.44/1.07    X, Y ) ) ) ] )
% 0.44/1.07  , clause( 84, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( 
% 0.44/1.07    multiply( X, Y ) ) ) ] )
% 0.44/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.07     )] ) ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  eqswap(
% 0.44/1.07  clause( 85, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ), 
% 0.44/1.07    inverse( Y ) ) ) ] )
% 0.44/1.07  , clause( 19, [ =( multiply( inverse( Y ), inverse( X ) ), inverse( 
% 0.44/1.07    multiply( X, Y ) ) ) ] )
% 0.44/1.07  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  eqswap(
% 0.44/1.07  clause( 86, [ ~( =( inverse( multiply( a, b ) ), multiply( inverse( b ), 
% 0.44/1.07    inverse( a ) ) ) ) ] )
% 0.44/1.07  , clause( 5, [ ~( =( multiply( inverse( b ), inverse( a ) ), inverse( 
% 0.44/1.07    multiply( a, b ) ) ) ) ] )
% 0.44/1.07  , 0, substitution( 0, [] )).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  resolution(
% 0.44/1.07  clause( 87, [] )
% 0.44/1.07  , clause( 86, [ ~( =( inverse( multiply( a, b ) ), multiply( inverse( b ), 
% 0.44/1.07    inverse( a ) ) ) ) ] )
% 0.44/1.07  , 0, clause( 85, [ =( inverse( multiply( Y, X ) ), multiply( inverse( X ), 
% 0.44/1.07    inverse( Y ) ) ) ] )
% 0.44/1.07  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, a )] )
% 0.44/1.07    ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  subsumption(
% 0.44/1.07  clause( 25, [] )
% 0.44/1.07  , clause( 87, [] )
% 0.44/1.07  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  end.
% 0.44/1.07  
% 0.44/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.07  
% 0.44/1.07  Memory use:
% 0.44/1.07  
% 0.44/1.07  space for terms:        354
% 0.44/1.07  space for clauses:      2730
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  clauses generated:      140
% 0.44/1.07  clauses kept:           26
% 0.44/1.07  clauses selected:       14
% 0.44/1.07  clauses deleted:        3
% 0.44/1.07  clauses inuse deleted:  0
% 0.44/1.07  
% 0.44/1.07  subsentry:          203
% 0.44/1.07  literals s-matched: 82
% 0.44/1.07  literals matched:   82
% 0.44/1.07  full subsumption:   0
% 0.44/1.07  
% 0.44/1.07  checksum:           -1308922798
% 0.44/1.07  
% 0.44/1.07  
% 0.44/1.07  Bliksem ended
%------------------------------------------------------------------------------