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Bliksem---1.12.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GRP465-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : Sat Jul 16 07:37:09 EDT 2022

% Result   : Unsatisfiable 0.45s 1.07s
% Output   : Refutation 0.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP465-1 : TPTP v8.1.0. Released v2.6.0.
% 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 Jun 14 04:47:03 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.45/1.07  *** allocated 10000 integers for termspace/termends
% 0.45/1.07  *** allocated 10000 integers for clauses
% 0.45/1.07  *** allocated 10000 integers for justifications
% 0.45/1.07  Bliksem 1.12
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  Automatic Strategy Selection
% 0.45/1.07  
% 0.45/1.07  Clauses:
% 0.45/1.07  [
% 0.45/1.07     [ =( divide( X, divide( divide( divide( divide( X, X ), Y ), Z ), divide( 
% 0.45/1.07    divide( identity, X ), Z ) ) ), Y ) ],
% 0.45/1.07     [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ],
% 0.45/1.07     [ =( inverse( X ), divide( identity, X ) ) ],
% 0.45/1.07     [ =( identity, divide( X, X ) ) ],
% 0.45/1.07     [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3, 
% 0.45/1.07    c3 ) ) ) ) ]
% 0.45/1.07  ] .
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  percentage equality = 1.000000, percentage horn = 1.000000
% 0.45/1.07  This is a pure equality problem
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  Options Used:
% 0.45/1.07  
% 0.45/1.07  useres =            1
% 0.45/1.07  useparamod =        1
% 0.45/1.07  useeqrefl =         1
% 0.45/1.07  useeqfact =         1
% 0.45/1.07  usefactor =         1
% 0.45/1.07  usesimpsplitting =  0
% 0.45/1.07  usesimpdemod =      5
% 0.45/1.07  usesimpres =        3
% 0.45/1.07  
% 0.45/1.07  resimpinuse      =  1000
% 0.45/1.07  resimpclauses =     20000
% 0.45/1.07  substype =          eqrewr
% 0.45/1.07  backwardsubs =      1
% 0.45/1.07  selectoldest =      5
% 0.45/1.07  
% 0.45/1.07  litorderings [0] =  split
% 0.45/1.07  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.45/1.07  
% 0.45/1.07  termordering =      kbo
% 0.45/1.07  
% 0.45/1.07  litapriori =        0
% 0.45/1.07  termapriori =       1
% 0.45/1.07  litaposteriori =    0
% 0.45/1.07  termaposteriori =   0
% 0.45/1.07  demodaposteriori =  0
% 0.45/1.07  ordereqreflfact =   0
% 0.45/1.07  
% 0.45/1.07  litselect =         negord
% 0.45/1.07  
% 0.45/1.07  maxweight =         15
% 0.45/1.07  maxdepth =          30000
% 0.45/1.07  maxlength =         115
% 0.45/1.07  maxnrvars =         195
% 0.45/1.07  excuselevel =       1
% 0.45/1.07  increasemaxweight = 1
% 0.45/1.07  
% 0.45/1.07  maxselected =       10000000
% 0.45/1.07  maxnrclauses =      10000000
% 0.45/1.07  
% 0.45/1.07  showgenerated =    0
% 0.45/1.07  showkept =         0
% 0.45/1.07  showselected =     0
% 0.45/1.07  showdeleted =      0
% 0.45/1.07  showresimp =       1
% 0.45/1.07  showstatus =       2000
% 0.45/1.07  
% 0.45/1.07  prologoutput =     1
% 0.45/1.07  nrgoals =          5000000
% 0.45/1.07  totalproof =       1
% 0.45/1.07  
% 0.45/1.07  Symbols occurring in the translation:
% 0.45/1.07  
% 0.45/1.07  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.45/1.07  .  [1, 2]      (w:1, o:22, a:1, s:1, b:0), 
% 0.45/1.07  !  [4, 1]      (w:0, o:16, a:1, s:1, b:0), 
% 0.45/1.07  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.45/1.07  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.45/1.07  divide  [40, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.45/1.07  identity  [43, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.45/1.07  multiply  [44, 2]      (w:1, o:48, a:1, s:1, b:0), 
% 0.45/1.07  inverse  [45, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.45/1.07  a3  [46, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.45/1.07  b3  [47, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.45/1.07  c3  [48, 0]      (w:1, o:15, a:1, s:1, b:0).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  Starting Search:
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  Bliksems!, er is een bewijs:
% 0.45/1.07  % SZS status Unsatisfiable
% 0.45/1.07  % SZS output start Refutation
% 0.45/1.07  
% 0.45/1.07  clause( 0, [ =( divide( X, divide( divide( divide( divide( X, X ), Y ), Z )
% 0.45/1.07    , divide( divide( identity, X ), Z ) ) ), Y ) ] )
% 0.45/1.07  .
% 0.45/1.07  clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 0.45/1.07  .
% 0.45/1.07  clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.45/1.07  .
% 0.45/1.07  clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.45/1.07  .
% 0.45/1.07  clause( 4, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( 
% 0.45/1.07    a3, b3 ), c3 ) ) ) ] )
% 0.45/1.07  .
% 0.45/1.07  clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.45/1.07  .
% 0.45/1.07  clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.45/1.07  .
% 0.45/1.07  clause( 7, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.45/1.07  .
% 0.45/1.07  clause( 10, [ =( divide( X, divide( divide( inverse( Y ), Z ), divide( 
% 0.45/1.07    inverse( X ), Z ) ) ), Y ) ] )
% 0.45/1.07  .
% 0.45/1.07  clause( 14, [ =( divide( X, identity ), X ) ] )
% 0.45/1.07  .
% 0.45/1.07  clause( 15, [ =( multiply( Y, multiply( inverse( Y ), X ) ), X ) ] )
% 0.45/1.07  .
% 0.45/1.07  clause( 16, [ =( divide( X, multiply( inverse( Y ), X ) ), Y ) ] )
% 0.45/1.07  .
% 0.45/1.07  clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.45/1.07  .
% 0.45/1.07  clause( 20, [ =( inverse( inverse( X ) ), X ) ] )
% 0.45/1.07  .
% 0.45/1.07  clause( 21, [ =( multiply( inverse( X ), multiply( X, Y ) ), Y ) ] )
% 0.45/1.07  .
% 0.45/1.07  clause( 22, [ =( divide( Y, divide( divide( X, Z ), divide( inverse( Y ), Z
% 0.45/1.07     ) ) ), inverse( X ) ) ] )
% 0.45/1.07  .
% 0.45/1.07  clause( 24, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 0.45/1.07  .
% 0.45/1.07  clause( 33, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.45/1.07  .
% 0.45/1.07  clause( 34, [ =( divide( Y, multiply( X, Y ) ), inverse( X ) ) ] )
% 0.45/1.07  .
% 0.45/1.07  clause( 37, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.45/1.07  .
% 0.45/1.07  clause( 41, [ =( inverse( divide( X, Y ) ), divide( Y, X ) ) ] )
% 0.45/1.07  .
% 0.45/1.07  clause( 49, [ =( divide( inverse( Y ), X ), inverse( multiply( X, Y ) ) ) ]
% 0.45/1.07     )
% 0.45/1.07  .
% 0.45/1.07  clause( 58, [ =( divide( Y, multiply( divide( X, Z ), multiply( Z, Y ) ) )
% 0.45/1.07    , inverse( X ) ) ] )
% 0.45/1.07  .
% 0.45/1.07  clause( 71, [ =( divide( multiply( divide( Y, Z ), multiply( Z, X ) ), X )
% 0.45/1.07    , Y ) ] )
% 0.45/1.07  .
% 0.45/1.07  clause( 87, [ =( multiply( divide( X, Y ), multiply( Y, Z ) ), multiply( X
% 0.45/1.07    , Z ) ) ] )
% 0.45/1.07  .
% 0.45/1.07  clause( 93, [ =( multiply( X, multiply( Z, T ) ), multiply( multiply( X, Z
% 0.45/1.07     ), T ) ) ] )
% 0.45/1.07  .
% 0.45/1.07  clause( 98, [] )
% 0.45/1.07  .
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  % SZS output end Refutation
% 0.45/1.07  found a proof!
% 0.45/1.07  
% 0.45/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.07  
% 0.45/1.07  initialclauses(
% 0.45/1.07  [ clause( 100, [ =( divide( X, divide( divide( divide( divide( X, X ), Y )
% 0.45/1.07    , Z ), divide( divide( identity, X ), Z ) ) ), Y ) ] )
% 0.45/1.07  , clause( 101, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) )
% 0.45/1.07     ] )
% 0.45/1.07  , clause( 102, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.45/1.07  , clause( 103, [ =( identity, divide( X, X ) ) ] )
% 0.45/1.07  , clause( 104, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, 
% 0.45/1.07    multiply( b3, c3 ) ) ) ) ] )
% 0.45/1.07  ] ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 0, [ =( divide( X, divide( divide( divide( divide( X, X ), Y ), Z )
% 0.45/1.07    , divide( divide( identity, X ), Z ) ) ), Y ) ] )
% 0.45/1.07  , clause( 100, [ =( divide( X, divide( divide( divide( divide( X, X ), Y )
% 0.45/1.07    , Z ), divide( divide( identity, X ), Z ) ) ), Y ) ] )
% 0.45/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.45/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 107, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ]
% 0.45/1.07     )
% 0.45/1.07  , clause( 101, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) )
% 0.45/1.07     ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 0.45/1.07  , clause( 107, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) )
% 0.45/1.07     ] )
% 0.45/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.07     )] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 110, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.45/1.07  , clause( 102, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.45/1.07  , clause( 110, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.45/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 114, [ =( divide( X, X ), identity ) ] )
% 0.45/1.07  , clause( 103, [ =( identity, divide( X, X ) ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.45/1.07  , clause( 114, [ =( divide( X, X ), identity ) ] )
% 0.45/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 119, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( 
% 0.45/1.07    a3, b3 ), c3 ) ) ) ] )
% 0.45/1.07  , clause( 104, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, 
% 0.45/1.07    multiply( b3, c3 ) ) ) ) ] )
% 0.45/1.07  , 0, substitution( 0, [] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 4, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( 
% 0.45/1.07    a3, b3 ), c3 ) ) ) ] )
% 0.45/1.07  , clause( 119, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( 
% 0.45/1.07    multiply( a3, b3 ), c3 ) ) ) ] )
% 0.45/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 120, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.45/1.07  , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 122, [ =( inverse( identity ), identity ) ] )
% 0.45/1.07  , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.45/1.07  , 0, clause( 120, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.45/1.07  , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X, 
% 0.45/1.07    identity )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.45/1.07  , clause( 122, [ =( inverse( identity ), identity ) ] )
% 0.45/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 126, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.45/1.07  , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.45/1.07  , 0, clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) )
% 0.45/1.07     ] )
% 0.45/1.07  , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ), 
% 0.45/1.07    :=( Y, Y )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.45/1.07  , clause( 126, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.45/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.07     )] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 129, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.45/1.07  , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 130, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.45/1.07  , clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.45/1.07  , 0, clause( 129, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.45/1.07  , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, 
% 0.45/1.07    identity )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 7, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.45/1.07  , clause( 130, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.45/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 136, [ =( divide( X, divide( divide( divide( identity, Y ), Z ), 
% 0.45/1.07    divide( divide( identity, X ), Z ) ) ), Y ) ] )
% 0.45/1.07  , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.45/1.07  , 0, clause( 0, [ =( divide( X, divide( divide( divide( divide( X, X ), Y )
% 0.45/1.07    , Z ), divide( divide( identity, X ), Z ) ) ), Y ) ] )
% 0.45/1.07  , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), 
% 0.45/1.07    :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 138, [ =( divide( X, divide( divide( divide( identity, Y ), Z ), 
% 0.45/1.07    divide( inverse( X ), Z ) ) ), Y ) ] )
% 0.45/1.07  , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.45/1.07  , 0, clause( 136, [ =( divide( X, divide( divide( divide( identity, Y ), Z
% 0.45/1.07     ), divide( divide( identity, X ), Z ) ) ), Y ) ] )
% 0.45/1.07  , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), 
% 0.45/1.07    :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 140, [ =( divide( X, divide( divide( inverse( Y ), Z ), divide( 
% 0.45/1.07    inverse( X ), Z ) ) ), Y ) ] )
% 0.45/1.07  , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.45/1.07  , 0, clause( 138, [ =( divide( X, divide( divide( divide( identity, Y ), Z
% 0.45/1.07     ), divide( inverse( X ), Z ) ) ), Y ) ] )
% 0.45/1.07  , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ), 
% 0.45/1.07    :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 10, [ =( divide( X, divide( divide( inverse( Y ), Z ), divide( 
% 0.45/1.07    inverse( X ), Z ) ) ), Y ) ] )
% 0.45/1.07  , clause( 140, [ =( divide( X, divide( divide( inverse( Y ), Z ), divide( 
% 0.45/1.07    inverse( X ), Z ) ) ), Y ) ] )
% 0.45/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.45/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 143, [ =( Y, divide( X, divide( divide( inverse( Y ), Z ), divide( 
% 0.45/1.07    inverse( X ), Z ) ) ) ) ] )
% 0.45/1.07  , clause( 10, [ =( divide( X, divide( divide( inverse( Y ), Z ), divide( 
% 0.45/1.07    inverse( X ), Z ) ) ), Y ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 144, [ =( X, divide( X, identity ) ) ] )
% 0.45/1.07  , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.45/1.07  , 0, clause( 143, [ =( Y, divide( X, divide( divide( inverse( Y ), Z ), 
% 0.45/1.07    divide( inverse( X ), Z ) ) ) ) ] )
% 0.45/1.07  , 0, 4, substitution( 0, [ :=( X, divide( inverse( X ), Y ) )] ), 
% 0.45/1.07    substitution( 1, [ :=( X, X ), :=( Y, X ), :=( Z, Y )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 147, [ =( divide( X, identity ), X ) ] )
% 0.45/1.07  , clause( 144, [ =( X, divide( X, identity ) ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 14, [ =( divide( X, identity ), X ) ] )
% 0.45/1.07  , clause( 147, [ =( divide( X, identity ), X ) ] )
% 0.45/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 151, [ =( Y, divide( X, divide( divide( inverse( Y ), Z ), divide( 
% 0.45/1.07    inverse( X ), Z ) ) ) ) ] )
% 0.45/1.07  , clause( 10, [ =( divide( X, divide( divide( inverse( Y ), Z ), divide( 
% 0.45/1.07    inverse( X ), Z ) ) ), Y ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 156, [ =( X, divide( Y, divide( identity, divide( inverse( Y ), 
% 0.45/1.07    inverse( X ) ) ) ) ) ] )
% 0.45/1.07  , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.45/1.07  , 0, clause( 151, [ =( Y, divide( X, divide( divide( inverse( Y ), Z ), 
% 0.45/1.07    divide( inverse( X ), Z ) ) ) ) ] )
% 0.45/1.07  , 0, 5, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [ 
% 0.45/1.07    :=( X, Y ), :=( Y, X ), :=( Z, inverse( X ) )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 158, [ =( X, divide( Y, inverse( divide( inverse( Y ), inverse( X )
% 0.45/1.07     ) ) ) ) ] )
% 0.45/1.07  , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.45/1.07  , 0, clause( 156, [ =( X, divide( Y, divide( identity, divide( inverse( Y )
% 0.45/1.07    , inverse( X ) ) ) ) ) ] )
% 0.45/1.07  , 0, 4, substitution( 0, [ :=( X, divide( inverse( Y ), inverse( X ) ) )] )
% 0.45/1.07    , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 160, [ =( X, divide( Y, inverse( multiply( inverse( Y ), X ) ) ) )
% 0.45/1.07     ] )
% 0.45/1.07  , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.45/1.07  , 0, clause( 158, [ =( X, divide( Y, inverse( divide( inverse( Y ), inverse( 
% 0.45/1.07    X ) ) ) ) ) ] )
% 0.45/1.07  , 0, 5, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, X )] ), 
% 0.45/1.07    substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 162, [ =( X, multiply( Y, multiply( inverse( Y ), X ) ) ) ] )
% 0.45/1.07  , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.45/1.07  , 0, clause( 160, [ =( X, divide( Y, inverse( multiply( inverse( Y ), X ) )
% 0.45/1.07     ) ) ] )
% 0.45/1.07  , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, multiply( inverse( Y ), X ) )] )
% 0.45/1.07    , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 163, [ =( multiply( Y, multiply( inverse( Y ), X ) ), X ) ] )
% 0.45/1.07  , clause( 162, [ =( X, multiply( Y, multiply( inverse( Y ), X ) ) ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 15, [ =( multiply( Y, multiply( inverse( Y ), X ) ), X ) ] )
% 0.45/1.07  , clause( 163, [ =( multiply( Y, multiply( inverse( Y ), X ) ), X ) ] )
% 0.45/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.07     )] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 165, [ =( Y, divide( X, divide( divide( inverse( Y ), Z ), divide( 
% 0.45/1.07    inverse( X ), Z ) ) ) ) ] )
% 0.45/1.07  , clause( 10, [ =( divide( X, divide( divide( inverse( Y ), Z ), divide( 
% 0.45/1.07    inverse( X ), Z ) ) ), Y ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 170, [ =( X, divide( Y, divide( divide( inverse( X ), inverse( Y )
% 0.45/1.07     ), identity ) ) ) ] )
% 0.45/1.07  , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.45/1.07  , 0, clause( 165, [ =( Y, divide( X, divide( divide( inverse( Y ), Z ), 
% 0.45/1.07    divide( inverse( X ), Z ) ) ) ) ] )
% 0.45/1.07  , 0, 10, substitution( 0, [ :=( X, inverse( Y ) )] ), substitution( 1, [ 
% 0.45/1.07    :=( X, Y ), :=( Y, X ), :=( Z, inverse( Y ) )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 171, [ =( X, divide( Y, divide( inverse( X ), inverse( Y ) ) ) ) ]
% 0.45/1.07     )
% 0.45/1.07  , clause( 14, [ =( divide( X, identity ), X ) ] )
% 0.45/1.07  , 0, clause( 170, [ =( X, divide( Y, divide( divide( inverse( X ), inverse( 
% 0.45/1.07    Y ) ), identity ) ) ) ] )
% 0.45/1.07  , 0, 4, substitution( 0, [ :=( X, divide( inverse( X ), inverse( Y ) ) )] )
% 0.45/1.07    , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 172, [ =( X, divide( Y, multiply( inverse( X ), Y ) ) ) ] )
% 0.45/1.07  , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.45/1.07  , 0, clause( 171, [ =( X, divide( Y, divide( inverse( X ), inverse( Y ) ) )
% 0.45/1.07     ) ] )
% 0.45/1.07  , 0, 4, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y )] ), 
% 0.45/1.07    substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 173, [ =( divide( Y, multiply( inverse( X ), Y ) ), X ) ] )
% 0.45/1.07  , clause( 172, [ =( X, divide( Y, multiply( inverse( X ), Y ) ) ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 16, [ =( divide( X, multiply( inverse( Y ), X ) ), Y ) ] )
% 0.45/1.07  , clause( 173, [ =( divide( Y, multiply( inverse( X ), Y ) ), X ) ] )
% 0.45/1.07  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.07     )] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 175, [ =( Y, multiply( X, multiply( inverse( X ), Y ) ) ) ] )
% 0.45/1.07  , clause( 15, [ =( multiply( Y, multiply( inverse( Y ), X ) ), X ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 177, [ =( identity, multiply( X, divide( inverse( X ), identity ) )
% 0.45/1.07     ) ] )
% 0.45/1.07  , clause( 7, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.45/1.07  , 0, clause( 175, [ =( Y, multiply( X, multiply( inverse( X ), Y ) ) ) ] )
% 0.45/1.07  , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [ 
% 0.45/1.07    :=( X, X ), :=( Y, identity )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 178, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 0.45/1.07  , clause( 14, [ =( divide( X, identity ), X ) ] )
% 0.45/1.07  , 0, clause( 177, [ =( identity, multiply( X, divide( inverse( X ), 
% 0.45/1.07    identity ) ) ) ] )
% 0.45/1.07  , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [ 
% 0.45/1.07    :=( X, X )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 179, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.45/1.07  , clause( 178, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.45/1.07  , clause( 179, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.45/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 181, [ =( Y, multiply( X, multiply( inverse( X ), Y ) ) ) ] )
% 0.45/1.07  , clause( 15, [ =( multiply( Y, multiply( inverse( Y ), X ) ), X ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 184, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ] )
% 0.45/1.07  , clause( 19, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.45/1.07  , 0, clause( 181, [ =( Y, multiply( X, multiply( inverse( X ), Y ) ) ) ] )
% 0.45/1.07  , 0, 6, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [ 
% 0.45/1.07    :=( X, X ), :=( Y, inverse( inverse( X ) ) )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 185, [ =( inverse( inverse( X ) ), divide( X, identity ) ) ] )
% 0.45/1.07  , clause( 7, [ =( multiply( X, identity ), divide( X, identity ) ) ] )
% 0.45/1.07  , 0, clause( 184, [ =( inverse( inverse( X ) ), multiply( X, identity ) ) ]
% 0.45/1.07     )
% 0.45/1.07  , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.45/1.07    ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 186, [ =( inverse( inverse( X ) ), X ) ] )
% 0.45/1.07  , clause( 14, [ =( divide( X, identity ), X ) ] )
% 0.45/1.07  , 0, clause( 185, [ =( inverse( inverse( X ) ), divide( X, identity ) ) ]
% 0.45/1.07     )
% 0.45/1.07  , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.45/1.07    ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 20, [ =( inverse( inverse( X ) ), X ) ] )
% 0.45/1.07  , clause( 186, [ =( inverse( inverse( X ) ), X ) ] )
% 0.45/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 189, [ =( Y, multiply( X, multiply( inverse( X ), Y ) ) ) ] )
% 0.45/1.07  , clause( 15, [ =( multiply( Y, multiply( inverse( Y ), X ) ), X ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 190, [ =( X, multiply( inverse( Y ), multiply( Y, X ) ) ) ] )
% 0.45/1.07  , clause( 20, [ =( inverse( inverse( X ) ), X ) ] )
% 0.45/1.07  , 0, clause( 189, [ =( Y, multiply( X, multiply( inverse( X ), Y ) ) ) ] )
% 0.45/1.07  , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, inverse( 
% 0.45/1.07    Y ) ), :=( Y, X )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 191, [ =( multiply( inverse( Y ), multiply( Y, X ) ), X ) ] )
% 0.45/1.07  , clause( 190, [ =( X, multiply( inverse( Y ), multiply( Y, X ) ) ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 21, [ =( multiply( inverse( X ), multiply( X, Y ) ), Y ) ] )
% 0.45/1.07  , clause( 191, [ =( multiply( inverse( Y ), multiply( Y, X ) ), X ) ] )
% 0.45/1.07  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.07     )] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 193, [ =( Y, divide( X, divide( divide( inverse( Y ), Z ), divide( 
% 0.45/1.07    inverse( X ), Z ) ) ) ) ] )
% 0.45/1.07  , clause( 10, [ =( divide( X, divide( divide( inverse( Y ), Z ), divide( 
% 0.45/1.07    inverse( X ), Z ) ) ), Y ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 194, [ =( inverse( X ), divide( Y, divide( divide( X, Z ), divide( 
% 0.45/1.07    inverse( Y ), Z ) ) ) ) ] )
% 0.45/1.07  , clause( 20, [ =( inverse( inverse( X ) ), X ) ] )
% 0.45/1.07  , 0, clause( 193, [ =( Y, divide( X, divide( divide( inverse( Y ), Z ), 
% 0.45/1.07    divide( inverse( X ), Z ) ) ) ) ] )
% 0.45/1.07  , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ), 
% 0.45/1.07    :=( Y, inverse( X ) ), :=( Z, Z )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 196, [ =( divide( Y, divide( divide( X, Z ), divide( inverse( Y ), 
% 0.45/1.07    Z ) ) ), inverse( X ) ) ] )
% 0.45/1.07  , clause( 194, [ =( inverse( X ), divide( Y, divide( divide( X, Z ), divide( 
% 0.45/1.07    inverse( Y ), Z ) ) ) ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 22, [ =( divide( Y, divide( divide( X, Z ), divide( inverse( Y ), Z
% 0.45/1.07     ) ) ), inverse( X ) ) ] )
% 0.45/1.07  , clause( 196, [ =( divide( Y, divide( divide( X, Z ), divide( inverse( Y )
% 0.45/1.07    , Z ) ) ), inverse( X ) ) ] )
% 0.45/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.45/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 199, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.45/1.07  , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 200, [ =( multiply( X, inverse( Y ) ), divide( X, Y ) ) ] )
% 0.45/1.07  , clause( 20, [ =( inverse( inverse( X ) ), X ) ] )
% 0.45/1.07  , 0, clause( 199, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.45/1.07  , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ), 
% 0.45/1.07    :=( Y, inverse( Y ) )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 24, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 0.45/1.07  , clause( 200, [ =( multiply( X, inverse( Y ) ), divide( X, Y ) ) ] )
% 0.45/1.07  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.07     )] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 203, [ =( Y, divide( X, multiply( inverse( Y ), X ) ) ) ] )
% 0.45/1.07  , clause( 16, [ =( divide( X, multiply( inverse( Y ), X ) ), Y ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 204, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 0.45/1.07  , clause( 21, [ =( multiply( inverse( X ), multiply( X, Y ) ), Y ) ] )
% 0.45/1.07  , 0, clause( 203, [ =( Y, divide( X, multiply( inverse( Y ), X ) ) ) ] )
% 0.45/1.07  , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 0.45/1.07    :=( X, multiply( X, Y ) ), :=( Y, X )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 205, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.45/1.07  , clause( 204, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 33, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.45/1.07  , clause( 205, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.45/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.07     )] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 207, [ =( Y, divide( X, multiply( inverse( Y ), X ) ) ) ] )
% 0.45/1.07  , clause( 16, [ =( divide( X, multiply( inverse( Y ), X ) ), Y ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 208, [ =( inverse( X ), divide( Y, multiply( X, Y ) ) ) ] )
% 0.45/1.07  , clause( 20, [ =( inverse( inverse( X ) ), X ) ] )
% 0.45/1.07  , 0, clause( 207, [ =( Y, divide( X, multiply( inverse( Y ), X ) ) ) ] )
% 0.45/1.07  , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ), 
% 0.45/1.07    :=( Y, inverse( X ) )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 209, [ =( divide( Y, multiply( X, Y ) ), inverse( X ) ) ] )
% 0.45/1.07  , clause( 208, [ =( inverse( X ), divide( Y, multiply( X, Y ) ) ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 34, [ =( divide( Y, multiply( X, Y ) ), inverse( X ) ) ] )
% 0.45/1.07  , clause( 209, [ =( divide( Y, multiply( X, Y ) ), inverse( X ) ) ] )
% 0.45/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.07     )] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 211, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 0.45/1.07  , clause( 33, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 214, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.45/1.07  , clause( 24, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 0.45/1.07  , 0, clause( 211, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 0.45/1.07  , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ 
% 0.45/1.07    :=( X, X ), :=( Y, inverse( Y ) )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 215, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.45/1.07  , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.45/1.07  , 0, clause( 214, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.45/1.07  , 0, 2, substitution( 0, [ :=( X, divide( X, Y ) ), :=( Y, Y )] ), 
% 0.45/1.07    substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 216, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.45/1.07  , clause( 215, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 37, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.45/1.07  , clause( 216, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.45/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.07     )] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 218, [ =( inverse( Y ), divide( X, multiply( Y, X ) ) ) ] )
% 0.45/1.07  , clause( 34, [ =( divide( Y, multiply( X, Y ) ), inverse( X ) ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 221, [ =( inverse( divide( X, Y ) ), divide( Y, X ) ) ] )
% 0.45/1.07  , clause( 37, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.45/1.07  , 0, clause( 218, [ =( inverse( Y ), divide( X, multiply( Y, X ) ) ) ] )
% 0.45/1.07  , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 0.45/1.07    :=( X, Y ), :=( Y, divide( X, Y ) )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 41, [ =( inverse( divide( X, Y ) ), divide( Y, X ) ) ] )
% 0.45/1.07  , clause( 221, [ =( inverse( divide( X, Y ) ), divide( Y, X ) ) ] )
% 0.45/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.07     )] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 224, [ =( divide( Y, X ), inverse( divide( X, Y ) ) ) ] )
% 0.45/1.07  , clause( 41, [ =( inverse( divide( X, Y ) ), divide( Y, X ) ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 228, [ =( divide( inverse( X ), Y ), inverse( multiply( Y, X ) ) )
% 0.45/1.07     ] )
% 0.45/1.07  , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.45/1.07  , 0, clause( 224, [ =( divide( Y, X ), inverse( divide( X, Y ) ) ) ] )
% 0.45/1.07  , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ 
% 0.45/1.07    :=( X, Y ), :=( Y, inverse( X ) )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 49, [ =( divide( inverse( Y ), X ), inverse( multiply( X, Y ) ) ) ]
% 0.45/1.07     )
% 0.45/1.07  , clause( 228, [ =( divide( inverse( X ), Y ), inverse( multiply( Y, X ) )
% 0.45/1.07     ) ] )
% 0.45/1.07  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.07     )] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 234, [ =( divide( X, divide( divide( Y, Z ), inverse( multiply( Z, 
% 0.45/1.07    X ) ) ) ), inverse( Y ) ) ] )
% 0.45/1.07  , clause( 49, [ =( divide( inverse( Y ), X ), inverse( multiply( X, Y ) ) )
% 0.45/1.07     ] )
% 0.45/1.07  , 0, clause( 22, [ =( divide( Y, divide( divide( X, Z ), divide( inverse( Y
% 0.45/1.07     ), Z ) ) ), inverse( X ) ) ] )
% 0.45/1.07  , 0, 7, substitution( 0, [ :=( X, Z ), :=( Y, X )] ), substitution( 1, [ 
% 0.45/1.07    :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 235, [ =( divide( X, multiply( divide( Y, Z ), multiply( Z, X ) ) )
% 0.45/1.07    , inverse( Y ) ) ] )
% 0.45/1.07  , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.45/1.07  , 0, clause( 234, [ =( divide( X, divide( divide( Y, Z ), inverse( multiply( 
% 0.45/1.07    Z, X ) ) ) ), inverse( Y ) ) ] )
% 0.45/1.07  , 0, 3, substitution( 0, [ :=( X, divide( Y, Z ) ), :=( Y, multiply( Z, X )
% 0.45/1.07     )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 58, [ =( divide( Y, multiply( divide( X, Z ), multiply( Z, Y ) ) )
% 0.45/1.07    , inverse( X ) ) ] )
% 0.45/1.07  , clause( 235, [ =( divide( X, multiply( divide( Y, Z ), multiply( Z, X ) )
% 0.45/1.07     ), inverse( Y ) ) ] )
% 0.45/1.07  , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ), 
% 0.45/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 238, [ =( divide( Y, X ), inverse( divide( X, Y ) ) ) ] )
% 0.45/1.07  , clause( 41, [ =( inverse( divide( X, Y ) ), divide( Y, X ) ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 242, [ =( divide( multiply( divide( X, Y ), multiply( Y, Z ) ), Z )
% 0.45/1.07    , inverse( inverse( X ) ) ) ] )
% 0.45/1.07  , clause( 58, [ =( divide( Y, multiply( divide( X, Z ), multiply( Z, Y ) )
% 0.45/1.07     ), inverse( X ) ) ] )
% 0.45/1.07  , 0, clause( 238, [ =( divide( Y, X ), inverse( divide( X, Y ) ) ) ] )
% 0.45/1.07  , 0, 11, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ), 
% 0.45/1.07    substitution( 1, [ :=( X, Z ), :=( Y, multiply( divide( X, Y ), multiply( 
% 0.45/1.07    Y, Z ) ) )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 243, [ =( divide( multiply( divide( X, Y ), multiply( Y, Z ) ), Z )
% 0.45/1.07    , X ) ] )
% 0.45/1.07  , clause( 20, [ =( inverse( inverse( X ) ), X ) ] )
% 0.45/1.07  , 0, clause( 242, [ =( divide( multiply( divide( X, Y ), multiply( Y, Z ) )
% 0.45/1.07    , Z ), inverse( inverse( X ) ) ) ] )
% 0.45/1.07  , 0, 10, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), 
% 0.45/1.07    :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 71, [ =( divide( multiply( divide( Y, Z ), multiply( Z, X ) ), X )
% 0.45/1.07    , Y ) ] )
% 0.45/1.07  , clause( 243, [ =( divide( multiply( divide( X, Y ), multiply( Y, Z ) ), Z
% 0.45/1.07     ), X ) ] )
% 0.45/1.07  , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ), 
% 0.45/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 246, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.45/1.07  , clause( 37, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 249, [ =( multiply( divide( X, Y ), multiply( Y, Z ) ), multiply( X
% 0.45/1.07    , Z ) ) ] )
% 0.45/1.07  , clause( 71, [ =( divide( multiply( divide( Y, Z ), multiply( Z, X ) ), X
% 0.45/1.07     ), Y ) ] )
% 0.45/1.07  , 0, clause( 246, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.45/1.07  , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ), 
% 0.45/1.07    substitution( 1, [ :=( X, multiply( divide( X, Y ), multiply( Y, Z ) ) )
% 0.45/1.07    , :=( Y, Z )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 87, [ =( multiply( divide( X, Y ), multiply( Y, Z ) ), multiply( X
% 0.45/1.07    , Z ) ) ] )
% 0.45/1.07  , clause( 249, [ =( multiply( divide( X, Y ), multiply( Y, Z ) ), multiply( 
% 0.45/1.07    X, Z ) ) ] )
% 0.45/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.45/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 252, [ =( multiply( X, Z ), multiply( divide( X, Y ), multiply( Y, 
% 0.45/1.07    Z ) ) ) ] )
% 0.45/1.07  , clause( 87, [ =( multiply( divide( X, Y ), multiply( Y, Z ) ), multiply( 
% 0.45/1.07    X, Z ) ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 256, [ =( multiply( multiply( divide( X, Y ), multiply( Y, Z ) ), T
% 0.45/1.07     ), multiply( X, multiply( Z, T ) ) ) ] )
% 0.45/1.07  , clause( 71, [ =( divide( multiply( divide( Y, Z ), multiply( Z, X ) ), X
% 0.45/1.07     ), Y ) ] )
% 0.45/1.07  , 0, clause( 252, [ =( multiply( X, Z ), multiply( divide( X, Y ), multiply( 
% 0.45/1.07    Y, Z ) ) ) ] )
% 0.45/1.07  , 0, 11, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ), 
% 0.45/1.07    substitution( 1, [ :=( X, multiply( divide( X, Y ), multiply( Y, Z ) ) )
% 0.45/1.07    , :=( Y, Z ), :=( Z, T )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  paramod(
% 0.45/1.07  clause( 257, [ =( multiply( multiply( X, Z ), T ), multiply( X, multiply( Z
% 0.45/1.07    , T ) ) ) ] )
% 0.45/1.07  , clause( 87, [ =( multiply( divide( X, Y ), multiply( Y, Z ) ), multiply( 
% 0.45/1.07    X, Z ) ) ] )
% 0.45/1.07  , 0, clause( 256, [ =( multiply( multiply( divide( X, Y ), multiply( Y, Z )
% 0.45/1.07     ), T ), multiply( X, multiply( Z, T ) ) ) ] )
% 0.45/1.07  , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.45/1.07    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 258, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.45/1.07     ), Z ) ) ] )
% 0.45/1.07  , clause( 257, [ =( multiply( multiply( X, Z ), T ), multiply( X, multiply( 
% 0.45/1.07    Z, T ) ) ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] )
% 0.45/1.07    ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 93, [ =( multiply( X, multiply( Z, T ) ), multiply( multiply( X, Z
% 0.45/1.07     ), T ) ) ] )
% 0.45/1.07  , clause( 258, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.45/1.07    , Y ), Z ) ) ] )
% 0.45/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T )] ), 
% 0.45/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 259, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.45/1.07    , Z ) ) ) ] )
% 0.45/1.07  , clause( 93, [ =( multiply( X, multiply( Z, T ) ), multiply( multiply( X, 
% 0.45/1.07    Z ), T ) ) ] )
% 0.45/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] )
% 0.45/1.07    ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  eqswap(
% 0.45/1.07  clause( 260, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, 
% 0.45/1.07    multiply( b3, c3 ) ) ) ) ] )
% 0.45/1.07  , clause( 4, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( 
% 0.45/1.07    a3, b3 ), c3 ) ) ) ] )
% 0.45/1.07  , 0, substitution( 0, [] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  resolution(
% 0.45/1.07  clause( 261, [] )
% 0.45/1.07  , clause( 260, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, 
% 0.45/1.07    multiply( b3, c3 ) ) ) ) ] )
% 0.45/1.07  , 0, clause( 259, [ =( multiply( multiply( X, Y ), Z ), multiply( X, 
% 0.45/1.07    multiply( Y, Z ) ) ) ] )
% 0.45/1.07  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a3 ), :=( Y, b3 ), 
% 0.45/1.07    :=( Z, c3 )] )).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  subsumption(
% 0.45/1.07  clause( 98, [] )
% 0.45/1.07  , clause( 261, [] )
% 0.45/1.07  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  end.
% 0.45/1.07  
% 0.45/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.07  
% 0.45/1.07  Memory use:
% 0.45/1.07  
% 0.45/1.07  space for terms:        1211
% 0.45/1.07  space for clauses:      12120
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  clauses generated:      571
% 0.45/1.07  clauses kept:           99
% 0.45/1.07  clauses selected:       32
% 0.45/1.07  clauses deleted:        15
% 0.45/1.07  clauses inuse deleted:  0
% 0.45/1.07  
% 0.45/1.07  subsentry:          392
% 0.45/1.07  literals s-matched: 135
% 0.45/1.07  literals matched:   134
% 0.45/1.07  full subsumption:   0
% 0.45/1.07  
% 0.45/1.07  checksum:           -162162295
% 0.45/1.07  
% 0.45/1.07  
% 0.45/1.07  Bliksem ended
%------------------------------------------------------------------------------