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Bliksem---1.12.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GRP544-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 07:37:33 EDT 2022

% Result   : Unsatisfiable 0.74s 1.12s
% Output   : Refutation 0.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP544-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.13  % 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 : Mon Jun 13 12:14:07 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.74/1.12  *** allocated 10000 integers for termspace/termends
% 0.74/1.12  *** allocated 10000 integers for clauses
% 0.74/1.12  *** allocated 10000 integers for justifications
% 0.74/1.12  Bliksem 1.12
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  Automatic Strategy Selection
% 0.74/1.12  
% 0.74/1.12  Clauses:
% 0.74/1.12  [
% 0.74/1.12     [ =( divide( divide( identity, divide( divide( divide( X, Y ), Z ), X )
% 0.74/1.12     ), Z ), Y ) ],
% 0.74/1.12     [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ],
% 0.74/1.12     [ =( inverse( X ), divide( identity, X ) ) ],
% 0.74/1.12     [ =( identity, divide( X, X ) ) ],
% 0.74/1.12     [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ]
% 0.74/1.12  ] .
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  percentage equality = 1.000000, percentage horn = 1.000000
% 0.74/1.12  This is a pure equality problem
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  Options Used:
% 0.74/1.12  
% 0.74/1.12  useres =            1
% 0.74/1.12  useparamod =        1
% 0.74/1.12  useeqrefl =         1
% 0.74/1.12  useeqfact =         1
% 0.74/1.12  usefactor =         1
% 0.74/1.12  usesimpsplitting =  0
% 0.74/1.12  usesimpdemod =      5
% 0.74/1.12  usesimpres =        3
% 0.74/1.12  
% 0.74/1.12  resimpinuse      =  1000
% 0.74/1.12  resimpclauses =     20000
% 0.74/1.12  substype =          eqrewr
% 0.74/1.12  backwardsubs =      1
% 0.74/1.12  selectoldest =      5
% 0.74/1.12  
% 0.74/1.12  litorderings [0] =  split
% 0.74/1.12  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.74/1.12  
% 0.74/1.12  termordering =      kbo
% 0.74/1.12  
% 0.74/1.12  litapriori =        0
% 0.74/1.12  termapriori =       1
% 0.74/1.12  litaposteriori =    0
% 0.74/1.12  termaposteriori =   0
% 0.74/1.12  demodaposteriori =  0
% 0.74/1.12  ordereqreflfact =   0
% 0.74/1.12  
% 0.74/1.12  litselect =         negord
% 0.74/1.12  
% 0.74/1.12  maxweight =         15
% 0.74/1.12  maxdepth =          30000
% 0.74/1.12  maxlength =         115
% 0.74/1.12  maxnrvars =         195
% 0.74/1.12  excuselevel =       1
% 0.74/1.12  increasemaxweight = 1
% 0.74/1.12  
% 0.74/1.12  maxselected =       10000000
% 0.74/1.12  maxnrclauses =      10000000
% 0.74/1.12  
% 0.74/1.12  showgenerated =    0
% 0.74/1.12  showkept =         0
% 0.74/1.12  showselected =     0
% 0.74/1.12  showdeleted =      0
% 0.74/1.12  showresimp =       1
% 0.74/1.12  showstatus =       2000
% 0.74/1.12  
% 0.74/1.12  prologoutput =     1
% 0.74/1.12  nrgoals =          5000000
% 0.74/1.12  totalproof =       1
% 0.74/1.12  
% 0.74/1.12  Symbols occurring in the translation:
% 0.74/1.12  
% 0.74/1.12  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.74/1.12  .  [1, 2]      (w:1, o:21, a:1, s:1, b:0), 
% 0.74/1.12  !  [4, 1]      (w:0, o:15, a:1, s:1, b:0), 
% 0.74/1.12  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.74/1.12  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.74/1.12  identity  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.74/1.12  divide  [42, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.74/1.12  multiply  [44, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.74/1.12  inverse  [45, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.74/1.12  a  [46, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.74/1.12  b  [47, 0]      (w:1, o:14, a:1, s:1, b:0).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  Starting Search:
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  Bliksems!, er is een bewijs:
% 0.74/1.12  % SZS status Unsatisfiable
% 0.74/1.12  % SZS output start Refutation
% 0.74/1.12  
% 0.74/1.12  clause( 0, [ =( divide( divide( identity, divide( divide( divide( X, Y ), Z
% 0.74/1.12     ), X ) ), Z ), Y ) ] )
% 0.74/1.12  .
% 0.74/1.12  clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 0.74/1.12  .
% 0.74/1.12  clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.74/1.12  .
% 0.74/1.12  clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.74/1.12  .
% 0.74/1.12  clause( 4, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.74/1.12  .
% 0.74/1.12  clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.74/1.12  .
% 0.74/1.12  clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.74/1.12  .
% 0.74/1.12  clause( 7, [ =( divide( inverse( divide( divide( divide( X, Y ), Z ), X ) )
% 0.74/1.12    , Z ), Y ) ] )
% 0.74/1.12  .
% 0.74/1.12  clause( 11, [ =( multiply( inverse( divide( multiply( divide( X, Y ), Z ), 
% 0.74/1.12    X ) ), Z ), Y ) ] )
% 0.74/1.12  .
% 0.74/1.12  clause( 15, [ =( divide( inverse( inverse( X ) ), divide( X, Y ) ), Y ) ]
% 0.74/1.12     )
% 0.74/1.12  .
% 0.74/1.12  clause( 21, [ =( inverse( inverse( X ) ), X ) ] )
% 0.74/1.12  .
% 0.74/1.12  clause( 22, [ =( divide( X, identity ), X ) ] )
% 0.74/1.12  .
% 0.74/1.12  clause( 23, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 0.74/1.12  .
% 0.74/1.12  clause( 25, [ =( divide( X, divide( X, Y ) ), Y ) ] )
% 0.74/1.12  .
% 0.74/1.12  clause( 27, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 0.74/1.12  .
% 0.74/1.12  clause( 30, [ =( multiply( inverse( divide( multiply( Y, Z ), X ) ), Z ), 
% 0.74/1.12    divide( X, Y ) ) ] )
% 0.74/1.12  .
% 0.74/1.12  clause( 33, [ =( divide( X, multiply( X, Y ) ), inverse( Y ) ) ] )
% 0.74/1.12  .
% 0.74/1.12  clause( 40, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 0.74/1.12  .
% 0.74/1.12  clause( 50, [ =( divide( multiply( X, Y ), X ), Y ) ] )
% 0.74/1.12  .
% 0.74/1.12  clause( 55, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.74/1.12  .
% 0.74/1.12  clause( 59, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.74/1.12  .
% 0.74/1.12  clause( 61, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.74/1.12  .
% 0.74/1.12  clause( 68, [] )
% 0.74/1.12  .
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  % SZS output end Refutation
% 0.74/1.12  found a proof!
% 0.74/1.12  
% 0.74/1.12  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.12  
% 0.74/1.12  initialclauses(
% 0.74/1.12  [ clause( 70, [ =( divide( divide( identity, divide( divide( divide( X, Y )
% 0.74/1.12    , Z ), X ) ), Z ), Y ) ] )
% 0.74/1.12  , clause( 71, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ]
% 0.74/1.12     )
% 0.74/1.12  , clause( 72, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.74/1.12  , clause( 73, [ =( identity, divide( X, X ) ) ] )
% 0.74/1.12  , clause( 74, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.74/1.12  ] ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  subsumption(
% 0.74/1.12  clause( 0, [ =( divide( divide( identity, divide( divide( divide( X, Y ), Z
% 0.74/1.12     ), X ) ), Z ), Y ) ] )
% 0.74/1.12  , clause( 70, [ =( divide( divide( identity, divide( divide( divide( X, Y )
% 0.74/1.12    , Z ), X ) ), Z ), Y ) ] )
% 0.74/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.74/1.12    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 77, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ]
% 0.74/1.12     )
% 0.74/1.12  , clause( 71, [ =( multiply( X, Y ), divide( X, divide( identity, Y ) ) ) ]
% 0.74/1.12     )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  subsumption(
% 0.74/1.12  clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ] )
% 0.74/1.12  , clause( 77, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) ) ]
% 0.74/1.12     )
% 0.74/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.12     )] ) ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 80, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.74/1.12  , clause( 72, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  subsumption(
% 0.74/1.12  clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.74/1.12  , clause( 80, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.74/1.12  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 84, [ =( divide( X, X ), identity ) ] )
% 0.74/1.12  , clause( 73, [ =( identity, divide( X, X ) ) ] )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  subsumption(
% 0.74/1.12  clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.74/1.12  , clause( 84, [ =( divide( X, X ), identity ) ] )
% 0.74/1.12  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  subsumption(
% 0.74/1.12  clause( 4, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.74/1.12  , clause( 74, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.74/1.12  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 90, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.74/1.12  , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 92, [ =( inverse( identity ), identity ) ] )
% 0.74/1.12  , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.74/1.12  , 0, clause( 90, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.74/1.12  , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X, 
% 0.74/1.12    identity )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  subsumption(
% 0.74/1.12  clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.74/1.12  , clause( 92, [ =( inverse( identity ), identity ) ] )
% 0.74/1.12  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 96, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.74/1.12  , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.74/1.12  , 0, clause( 1, [ =( divide( X, divide( identity, Y ) ), multiply( X, Y ) )
% 0.74/1.12     ] )
% 0.74/1.12  , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ), 
% 0.74/1.12    :=( Y, Y )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  subsumption(
% 0.74/1.12  clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.74/1.12  , clause( 96, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.74/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.12     )] ) ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 100, [ =( divide( inverse( divide( divide( divide( X, Y ), Z ), X )
% 0.74/1.12     ), Z ), Y ) ] )
% 0.74/1.12  , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.74/1.12  , 0, clause( 0, [ =( divide( divide( identity, divide( divide( divide( X, Y
% 0.74/1.12     ), Z ), X ) ), Z ), Y ) ] )
% 0.74/1.12  , 0, 2, substitution( 0, [ :=( X, divide( divide( divide( X, Y ), Z ), X )
% 0.74/1.12     )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  subsumption(
% 0.74/1.12  clause( 7, [ =( divide( inverse( divide( divide( divide( X, Y ), Z ), X ) )
% 0.74/1.12    , Z ), Y ) ] )
% 0.74/1.12  , clause( 100, [ =( divide( inverse( divide( divide( divide( X, Y ), Z ), X
% 0.74/1.12     ) ), Z ), Y ) ] )
% 0.74/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.74/1.12    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 102, [ =( Y, divide( inverse( divide( divide( divide( X, Y ), Z ), 
% 0.74/1.12    X ) ), Z ) ) ] )
% 0.74/1.12  , clause( 7, [ =( divide( inverse( divide( divide( divide( X, Y ), Z ), X )
% 0.74/1.12     ), Z ), Y ) ] )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 107, [ =( X, divide( inverse( divide( multiply( divide( Y, X ), Z )
% 0.74/1.12    , Y ) ), inverse( Z ) ) ) ] )
% 0.74/1.12  , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.74/1.12  , 0, clause( 102, [ =( Y, divide( inverse( divide( divide( divide( X, Y ), 
% 0.74/1.12    Z ), X ) ), Z ) ) ] )
% 0.74/1.12  , 0, 5, substitution( 0, [ :=( X, divide( Y, X ) ), :=( Y, Z )] ), 
% 0.74/1.12    substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, inverse( Z ) )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 110, [ =( X, multiply( inverse( divide( multiply( divide( Y, X ), Z
% 0.74/1.12     ), Y ) ), Z ) ) ] )
% 0.74/1.12  , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.74/1.12  , 0, clause( 107, [ =( X, divide( inverse( divide( multiply( divide( Y, X )
% 0.74/1.12    , Z ), Y ) ), inverse( Z ) ) ) ] )
% 0.74/1.12  , 0, 2, substitution( 0, [ :=( X, inverse( divide( multiply( divide( Y, X )
% 0.74/1.12    , Z ), Y ) ) ), :=( Y, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 0.74/1.12    , :=( Z, Z )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 111, [ =( multiply( inverse( divide( multiply( divide( Y, X ), Z )
% 0.74/1.12    , Y ) ), Z ), X ) ] )
% 0.74/1.12  , clause( 110, [ =( X, multiply( inverse( divide( multiply( divide( Y, X )
% 0.74/1.12    , Z ), Y ) ), Z ) ) ] )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  subsumption(
% 0.74/1.12  clause( 11, [ =( multiply( inverse( divide( multiply( divide( X, Y ), Z ), 
% 0.74/1.12    X ) ), Z ), Y ) ] )
% 0.74/1.12  , clause( 111, [ =( multiply( inverse( divide( multiply( divide( Y, X ), Z
% 0.74/1.12     ), Y ) ), Z ), X ) ] )
% 0.74/1.12  , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ), 
% 0.74/1.12    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 113, [ =( Y, divide( inverse( divide( divide( divide( X, Y ), Z ), 
% 0.74/1.12    X ) ), Z ) ) ] )
% 0.74/1.12  , clause( 7, [ =( divide( inverse( divide( divide( divide( X, Y ), Z ), X )
% 0.74/1.12     ), Z ), Y ) ] )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 115, [ =( X, divide( inverse( divide( identity, Y ) ), divide( Y, X
% 0.74/1.12     ) ) ) ] )
% 0.74/1.12  , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.74/1.12  , 0, clause( 113, [ =( Y, divide( inverse( divide( divide( divide( X, Y ), 
% 0.74/1.12    Z ), X ) ), Z ) ) ] )
% 0.74/1.12  , 0, 5, substitution( 0, [ :=( X, divide( Y, X ) )] ), substitution( 1, [ 
% 0.74/1.12    :=( X, Y ), :=( Y, X ), :=( Z, divide( Y, X ) )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 119, [ =( X, divide( inverse( inverse( Y ) ), divide( Y, X ) ) ) ]
% 0.74/1.12     )
% 0.74/1.12  , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.74/1.12  , 0, clause( 115, [ =( X, divide( inverse( divide( identity, Y ) ), divide( 
% 0.74/1.12    Y, X ) ) ) ] )
% 0.74/1.12  , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ), 
% 0.74/1.12    :=( Y, Y )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 120, [ =( divide( inverse( inverse( Y ) ), divide( Y, X ) ), X ) ]
% 0.74/1.12     )
% 0.74/1.12  , clause( 119, [ =( X, divide( inverse( inverse( Y ) ), divide( Y, X ) ) )
% 0.74/1.12     ] )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  subsumption(
% 0.74/1.12  clause( 15, [ =( divide( inverse( inverse( X ) ), divide( X, Y ) ), Y ) ]
% 0.74/1.12     )
% 0.74/1.12  , clause( 120, [ =( divide( inverse( inverse( Y ) ), divide( Y, X ) ), X )
% 0.74/1.12     ] )
% 0.74/1.12  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.12     )] ) ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 122, [ =( Y, divide( inverse( inverse( X ) ), divide( X, Y ) ) ) ]
% 0.74/1.12     )
% 0.74/1.12  , clause( 15, [ =( divide( inverse( inverse( X ) ), divide( X, Y ) ), Y ) ]
% 0.74/1.12     )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 126, [ =( X, divide( inverse( identity ), divide( identity, X ) ) )
% 0.74/1.12     ] )
% 0.74/1.12  , clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.74/1.12  , 0, clause( 122, [ =( Y, divide( inverse( inverse( X ) ), divide( X, Y ) )
% 0.74/1.12     ) ] )
% 0.74/1.12  , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, identity ), :=( Y
% 0.74/1.12    , X )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 128, [ =( X, divide( identity, divide( identity, X ) ) ) ] )
% 0.74/1.12  , clause( 5, [ =( inverse( identity ), identity ) ] )
% 0.74/1.12  , 0, clause( 126, [ =( X, divide( inverse( identity ), divide( identity, X
% 0.74/1.12     ) ) ) ] )
% 0.74/1.12  , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 130, [ =( X, divide( identity, inverse( X ) ) ) ] )
% 0.74/1.12  , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.74/1.12  , 0, clause( 128, [ =( X, divide( identity, divide( identity, X ) ) ) ] )
% 0.74/1.12  , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.74/1.12    ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 132, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.74/1.12  , clause( 2, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.74/1.12  , 0, clause( 130, [ =( X, divide( identity, inverse( X ) ) ) ] )
% 0.74/1.12  , 0, 2, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [ 
% 0.74/1.12    :=( X, X )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 133, [ =( inverse( inverse( X ) ), X ) ] )
% 0.74/1.12  , clause( 132, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  subsumption(
% 0.74/1.12  clause( 21, [ =( inverse( inverse( X ) ), X ) ] )
% 0.74/1.12  , clause( 133, [ =( inverse( inverse( X ) ), X ) ] )
% 0.74/1.12  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 135, [ =( Y, divide( inverse( inverse( X ) ), divide( X, Y ) ) ) ]
% 0.74/1.12     )
% 0.74/1.12  , clause( 15, [ =( divide( inverse( inverse( X ) ), divide( X, Y ) ), Y ) ]
% 0.74/1.12     )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 137, [ =( X, divide( inverse( inverse( X ) ), identity ) ) ] )
% 0.74/1.12  , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.74/1.12  , 0, clause( 135, [ =( Y, divide( inverse( inverse( X ) ), divide( X, Y ) )
% 0.74/1.12     ) ] )
% 0.74/1.12  , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), 
% 0.74/1.12    :=( Y, X )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 138, [ =( X, divide( X, identity ) ) ] )
% 0.74/1.12  , clause( 21, [ =( inverse( inverse( X ) ), X ) ] )
% 0.74/1.12  , 0, clause( 137, [ =( X, divide( inverse( inverse( X ) ), identity ) ) ]
% 0.74/1.12     )
% 0.74/1.12  , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.74/1.12    ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 139, [ =( divide( X, identity ), X ) ] )
% 0.74/1.12  , clause( 138, [ =( X, divide( X, identity ) ) ] )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  subsumption(
% 0.74/1.12  clause( 22, [ =( divide( X, identity ), X ) ] )
% 0.74/1.12  , clause( 139, [ =( divide( X, identity ), X ) ] )
% 0.74/1.12  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 140, [ =( X, divide( X, identity ) ) ] )
% 0.74/1.12  , clause( 22, [ =( divide( X, identity ), X ) ] )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 143, [ =( inverse( divide( divide( divide( X, Y ), identity ), X )
% 0.74/1.12     ), Y ) ] )
% 0.74/1.12  , clause( 7, [ =( divide( inverse( divide( divide( divide( X, Y ), Z ), X )
% 0.74/1.12     ), Z ), Y ) ] )
% 0.74/1.12  , 0, clause( 140, [ =( X, divide( X, identity ) ) ] )
% 0.74/1.12  , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, identity )] ), 
% 0.74/1.12    substitution( 1, [ :=( X, inverse( divide( divide( divide( X, Y ), 
% 0.74/1.12    identity ), X ) ) )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 144, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 0.74/1.12  , clause( 22, [ =( divide( X, identity ), X ) ] )
% 0.74/1.12  , 0, clause( 143, [ =( inverse( divide( divide( divide( X, Y ), identity )
% 0.74/1.12    , X ) ), Y ) ] )
% 0.74/1.12  , 0, 3, substitution( 0, [ :=( X, divide( X, Y ) )] ), substitution( 1, [ 
% 0.74/1.12    :=( X, X ), :=( Y, Y )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  subsumption(
% 0.74/1.12  clause( 23, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 0.74/1.12  , clause( 144, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 0.74/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.12     )] ) ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 147, [ =( Y, divide( inverse( inverse( X ) ), divide( X, Y ) ) ) ]
% 0.74/1.12     )
% 0.74/1.12  , clause( 15, [ =( divide( inverse( inverse( X ) ), divide( X, Y ) ), Y ) ]
% 0.74/1.12     )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 148, [ =( X, divide( Y, divide( Y, X ) ) ) ] )
% 0.74/1.12  , clause( 21, [ =( inverse( inverse( X ) ), X ) ] )
% 0.74/1.12  , 0, clause( 147, [ =( Y, divide( inverse( inverse( X ) ), divide( X, Y ) )
% 0.74/1.12     ) ] )
% 0.74/1.12  , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, Y ), 
% 0.74/1.12    :=( Y, X )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 149, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 0.74/1.12  , clause( 148, [ =( X, divide( Y, divide( Y, X ) ) ) ] )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  subsumption(
% 0.74/1.12  clause( 25, [ =( divide( X, divide( X, Y ) ), Y ) ] )
% 0.74/1.12  , clause( 149, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 0.74/1.12  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.12     )] ) ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 151, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.74/1.12  , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 152, [ =( multiply( X, inverse( Y ) ), divide( X, Y ) ) ] )
% 0.74/1.12  , clause( 21, [ =( inverse( inverse( X ) ), X ) ] )
% 0.74/1.12  , 0, clause( 151, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.74/1.12  , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ), 
% 0.74/1.12    :=( Y, inverse( Y ) )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  subsumption(
% 0.74/1.12  clause( 27, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 0.74/1.12  , clause( 152, [ =( multiply( X, inverse( Y ) ), divide( X, Y ) ) ] )
% 0.74/1.12  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.12     )] ) ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 155, [ =( Y, multiply( inverse( divide( multiply( divide( X, Y ), Z
% 0.74/1.12     ), X ) ), Z ) ) ] )
% 0.74/1.12  , clause( 11, [ =( multiply( inverse( divide( multiply( divide( X, Y ), Z )
% 0.74/1.12    , X ) ), Z ), Y ) ] )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 158, [ =( divide( X, Y ), multiply( inverse( divide( multiply( Y, Z
% 0.74/1.12     ), inverse( inverse( X ) ) ) ), Z ) ) ] )
% 0.74/1.12  , clause( 15, [ =( divide( inverse( inverse( X ) ), divide( X, Y ) ), Y ) ]
% 0.74/1.12     )
% 0.74/1.12  , 0, clause( 155, [ =( Y, multiply( inverse( divide( multiply( divide( X, Y
% 0.74/1.12     ), Z ), X ) ), Z ) ) ] )
% 0.74/1.12  , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 0.74/1.12    :=( X, inverse( inverse( X ) ) ), :=( Y, divide( X, Y ) ), :=( Z, Z )] )
% 0.74/1.12    ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 159, [ =( divide( X, Y ), multiply( inverse( multiply( multiply( Y
% 0.74/1.12    , Z ), inverse( X ) ) ), Z ) ) ] )
% 0.74/1.12  , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.74/1.12  , 0, clause( 158, [ =( divide( X, Y ), multiply( inverse( divide( multiply( 
% 0.74/1.12    Y, Z ), inverse( inverse( X ) ) ) ), Z ) ) ] )
% 0.74/1.12  , 0, 6, substitution( 0, [ :=( X, multiply( Y, Z ) ), :=( Y, inverse( X ) )] )
% 0.74/1.12    , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 160, [ =( divide( X, Y ), multiply( inverse( divide( multiply( Y, Z
% 0.74/1.12     ), X ) ), Z ) ) ] )
% 0.74/1.12  , clause( 27, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 0.74/1.12  , 0, clause( 159, [ =( divide( X, Y ), multiply( inverse( multiply( 
% 0.74/1.12    multiply( Y, Z ), inverse( X ) ) ), Z ) ) ] )
% 0.74/1.12  , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, multiply( Y, Z ) )] ), 
% 0.74/1.12    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 161, [ =( multiply( inverse( divide( multiply( Y, Z ), X ) ), Z ), 
% 0.74/1.12    divide( X, Y ) ) ] )
% 0.74/1.12  , clause( 160, [ =( divide( X, Y ), multiply( inverse( divide( multiply( Y
% 0.74/1.12    , Z ), X ) ), Z ) ) ] )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  subsumption(
% 0.74/1.12  clause( 30, [ =( multiply( inverse( divide( multiply( Y, Z ), X ) ), Z ), 
% 0.74/1.12    divide( X, Y ) ) ] )
% 0.74/1.12  , clause( 161, [ =( multiply( inverse( divide( multiply( Y, Z ), X ) ), Z )
% 0.74/1.12    , divide( X, Y ) ) ] )
% 0.74/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.74/1.12    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 163, [ =( Y, multiply( inverse( divide( multiply( divide( X, Y ), Z
% 0.74/1.12     ), X ) ), Z ) ) ] )
% 0.74/1.12  , clause( 11, [ =( multiply( inverse( divide( multiply( divide( X, Y ), Z )
% 0.74/1.12    , X ) ), Z ), Y ) ] )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 167, [ =( inverse( X ), multiply( inverse( divide( multiply( 
% 0.74/1.12    multiply( Y, X ), Z ), Y ) ), Z ) ) ] )
% 0.74/1.12  , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.74/1.12  , 0, clause( 163, [ =( Y, multiply( inverse( divide( multiply( divide( X, Y
% 0.74/1.12     ), Z ), X ) ), Z ) ) ] )
% 0.74/1.12  , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ 
% 0.74/1.12    :=( X, Y ), :=( Y, inverse( X ) ), :=( Z, Z )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 168, [ =( inverse( X ), divide( Y, multiply( Y, X ) ) ) ] )
% 0.74/1.12  , clause( 30, [ =( multiply( inverse( divide( multiply( Y, Z ), X ) ), Z )
% 0.74/1.12    , divide( X, Y ) ) ] )
% 0.74/1.12  , 0, clause( 167, [ =( inverse( X ), multiply( inverse( divide( multiply( 
% 0.74/1.12    multiply( Y, X ), Z ), Y ) ), Z ) ) ] )
% 0.74/1.12  , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, multiply( Y, X ) ), :=( Z, Z
% 0.74/1.12     )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 169, [ =( divide( Y, multiply( Y, X ) ), inverse( X ) ) ] )
% 0.74/1.12  , clause( 168, [ =( inverse( X ), divide( Y, multiply( Y, X ) ) ) ] )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  subsumption(
% 0.74/1.12  clause( 33, [ =( divide( X, multiply( X, Y ) ), inverse( Y ) ) ] )
% 0.74/1.12  , clause( 169, [ =( divide( Y, multiply( Y, X ) ), inverse( X ) ) ] )
% 0.74/1.12  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.12     )] ) ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 171, [ =( Y, inverse( divide( divide( X, Y ), X ) ) ) ] )
% 0.74/1.12  , clause( 23, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 172, [ =( divide( X, Y ), inverse( divide( Y, X ) ) ) ] )
% 0.74/1.12  , clause( 25, [ =( divide( X, divide( X, Y ) ), Y ) ] )
% 0.74/1.12  , 0, clause( 171, [ =( Y, inverse( divide( divide( X, Y ), X ) ) ) ] )
% 0.74/1.12  , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 0.74/1.12    :=( X, X ), :=( Y, divide( X, Y ) )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 173, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 0.74/1.12  , clause( 172, [ =( divide( X, Y ), inverse( divide( Y, X ) ) ) ] )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  subsumption(
% 0.74/1.12  clause( 40, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 0.74/1.12  , clause( 173, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 0.74/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.12     )] ) ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 175, [ =( divide( Y, X ), inverse( divide( X, Y ) ) ) ] )
% 0.74/1.12  , clause( 40, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 179, [ =( divide( multiply( X, Y ), X ), inverse( inverse( Y ) ) )
% 0.74/1.12     ] )
% 0.74/1.12  , clause( 33, [ =( divide( X, multiply( X, Y ) ), inverse( Y ) ) ] )
% 0.74/1.12  , 0, clause( 175, [ =( divide( Y, X ), inverse( divide( X, Y ) ) ) ] )
% 0.74/1.12  , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 0.74/1.12    :=( X, X ), :=( Y, multiply( X, Y ) )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 180, [ =( divide( multiply( X, Y ), X ), Y ) ] )
% 0.74/1.12  , clause( 21, [ =( inverse( inverse( X ) ), X ) ] )
% 0.74/1.12  , 0, clause( 179, [ =( divide( multiply( X, Y ), X ), inverse( inverse( Y )
% 0.74/1.12     ) ) ] )
% 0.74/1.12  , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ), 
% 0.74/1.12    :=( Y, Y )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  subsumption(
% 0.74/1.12  clause( 50, [ =( divide( multiply( X, Y ), X ), Y ) ] )
% 0.74/1.12  , clause( 180, [ =( divide( multiply( X, Y ), X ), Y ) ] )
% 0.74/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.12     )] ) ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 183, [ =( Y, inverse( divide( divide( X, Y ), X ) ) ) ] )
% 0.74/1.12  , clause( 23, [ =( inverse( divide( divide( X, Y ), X ) ), Y ) ] )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 185, [ =( X, inverse( divide( Y, multiply( X, Y ) ) ) ) ] )
% 0.74/1.12  , clause( 50, [ =( divide( multiply( X, Y ), X ), Y ) ] )
% 0.74/1.12  , 0, clause( 183, [ =( Y, inverse( divide( divide( X, Y ), X ) ) ) ] )
% 0.74/1.12  , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 0.74/1.12    :=( X, multiply( X, Y ) ), :=( Y, X )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 186, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 0.74/1.12  , clause( 40, [ =( inverse( divide( Y, X ) ), divide( X, Y ) ) ] )
% 0.74/1.12  , 0, clause( 185, [ =( X, inverse( divide( Y, multiply( X, Y ) ) ) ) ] )
% 0.74/1.12  , 0, 2, substitution( 0, [ :=( X, multiply( X, Y ) ), :=( Y, Y )] ), 
% 0.74/1.12    substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 187, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.74/1.12  , clause( 186, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  subsumption(
% 0.74/1.12  clause( 55, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.74/1.12  , clause( 187, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.74/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.12     )] ) ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 189, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 0.74/1.12  , clause( 55, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 192, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.74/1.12  , clause( 27, [ =( multiply( Y, inverse( X ) ), divide( Y, X ) ) ] )
% 0.74/1.12  , 0, clause( 189, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 0.74/1.12  , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ 
% 0.74/1.12    :=( X, X ), :=( Y, inverse( Y ) )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 193, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.74/1.12  , clause( 6, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.74/1.12  , 0, clause( 192, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.74/1.12  , 0, 2, substitution( 0, [ :=( X, divide( X, Y ) ), :=( Y, Y )] ), 
% 0.74/1.12    substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 194, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.74/1.12  , clause( 193, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  subsumption(
% 0.74/1.12  clause( 59, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.74/1.12  , clause( 194, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.74/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.12     )] ) ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 196, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.74/1.12  , clause( 59, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.74/1.12  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 199, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.74/1.12  , clause( 50, [ =( divide( multiply( X, Y ), X ), Y ) ] )
% 0.74/1.12  , 0, clause( 196, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.74/1.12  , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 0.74/1.12    :=( X, multiply( X, Y ) ), :=( Y, X )] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  subsumption(
% 0.74/1.12  clause( 61, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.74/1.12  , clause( 199, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.74/1.12  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.12     )] ) ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqswap(
% 0.74/1.12  clause( 200, [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ] )
% 0.74/1.12  , clause( 4, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.74/1.12  , 0, substitution( 0, [] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  paramod(
% 0.74/1.12  clause( 202, [ ~( =( multiply( b, a ), multiply( b, a ) ) ) ] )
% 0.74/1.12  , clause( 61, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.74/1.12  , 0, clause( 200, [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ] )
% 0.74/1.12  , 0, 5, substitution( 0, [ :=( X, b ), :=( Y, a )] ), substitution( 1, [] )
% 0.74/1.12    ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  eqrefl(
% 0.74/1.12  clause( 205, [] )
% 0.74/1.12  , clause( 202, [ ~( =( multiply( b, a ), multiply( b, a ) ) ) ] )
% 0.74/1.12  , 0, substitution( 0, [] )).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  subsumption(
% 0.74/1.12  clause( 68, [] )
% 0.74/1.12  , clause( 205, [] )
% 0.74/1.12  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  end.
% 0.74/1.12  
% 0.74/1.12  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.12  
% 0.74/1.12  Memory use:
% 0.74/1.12  
% 0.74/1.12  space for terms:        778
% 0.74/1.12  space for clauses:      7614
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  clauses generated:      302
% 0.74/1.12  clauses kept:           69
% 0.74/1.12  clauses selected:       23
% 0.74/1.12  clauses deleted:        4
% 0.74/1.12  clauses inuse deleted:  0
% 0.74/1.12  
% 0.74/1.12  subsentry:          347
% 0.74/1.12  literals s-matched: 126
% 0.74/1.12  literals matched:   126
% 0.74/1.12  full subsumption:   0
% 0.74/1.12  
% 0.74/1.12  checksum:           2081935908
% 0.74/1.12  
% 0.74/1.12  
% 0.74/1.12  Bliksem ended
%------------------------------------------------------------------------------