TSTP Solution File: GRP495-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GRP495-1 : TPTP v8.1.0. Released v2.6.0.
% 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 07:37:18 EDT 2022

% Result   : Unsatisfiable 0.72s 1.11s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP495-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n028.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % DateTime : Tue Jun 14 13:55:39 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.72/1.11  *** allocated 10000 integers for termspace/termends
% 0.72/1.11  *** allocated 10000 integers for clauses
% 0.72/1.11  *** allocated 10000 integers for justifications
% 0.72/1.11  Bliksem 1.12
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  Automatic Strategy Selection
% 0.72/1.11  
% 0.72/1.11  Clauses:
% 0.72/1.11  [
% 0.72/1.11     [ =( 'double_divide'( 'double_divide'( identity, X ), 'double_divide'( 
% 0.72/1.11    'double_divide'( 'double_divide'( Y, Z ), 'double_divide'( identity, 
% 0.72/1.11    identity ) ), 'double_divide'( X, Z ) ) ), Y ) ],
% 0.72/1.11     [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, X ), 
% 0.72/1.11    identity ) ) ],
% 0.72/1.11     [ =( inverse( X ), 'double_divide'( X, identity ) ) ],
% 0.72/1.11     [ =( identity, 'double_divide'( X, inverse( X ) ) ) ],
% 0.72/1.11     [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3, 
% 0.72/1.11    c3 ) ) ) ) ]
% 0.72/1.11  ] .
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  percentage equality = 1.000000, percentage horn = 1.000000
% 0.72/1.11  This is a pure equality problem
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  Options Used:
% 0.72/1.11  
% 0.72/1.11  useres =            1
% 0.72/1.11  useparamod =        1
% 0.72/1.11  useeqrefl =         1
% 0.72/1.11  useeqfact =         1
% 0.72/1.11  usefactor =         1
% 0.72/1.11  usesimpsplitting =  0
% 0.72/1.11  usesimpdemod =      5
% 0.72/1.11  usesimpres =        3
% 0.72/1.11  
% 0.72/1.11  resimpinuse      =  1000
% 0.72/1.11  resimpclauses =     20000
% 0.72/1.11  substype =          eqrewr
% 0.72/1.11  backwardsubs =      1
% 0.72/1.11  selectoldest =      5
% 0.72/1.11  
% 0.72/1.11  litorderings [0] =  split
% 0.72/1.11  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.72/1.11  
% 0.72/1.11  termordering =      kbo
% 0.72/1.11  
% 0.72/1.11  litapriori =        0
% 0.72/1.11  termapriori =       1
% 0.72/1.11  litaposteriori =    0
% 0.72/1.11  termaposteriori =   0
% 0.72/1.11  demodaposteriori =  0
% 0.72/1.11  ordereqreflfact =   0
% 0.72/1.11  
% 0.72/1.11  litselect =         negord
% 0.72/1.11  
% 0.72/1.11  maxweight =         15
% 0.72/1.11  maxdepth =          30000
% 0.72/1.11  maxlength =         115
% 0.72/1.11  maxnrvars =         195
% 0.72/1.11  excuselevel =       1
% 0.72/1.11  increasemaxweight = 1
% 0.72/1.11  
% 0.72/1.11  maxselected =       10000000
% 0.72/1.11  maxnrclauses =      10000000
% 0.72/1.11  
% 0.72/1.11  showgenerated =    0
% 0.72/1.11  showkept =         0
% 0.72/1.11  showselected =     0
% 0.72/1.11  showdeleted =      0
% 0.72/1.11  showresimp =       1
% 0.72/1.11  showstatus =       2000
% 0.72/1.11  
% 0.72/1.11  prologoutput =     1
% 0.72/1.11  nrgoals =          5000000
% 0.72/1.11  totalproof =       1
% 0.72/1.11  
% 0.72/1.11  Symbols occurring in the translation:
% 0.72/1.11  
% 0.72/1.11  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.72/1.11  .  [1, 2]      (w:1, o:22, a:1, s:1, b:0), 
% 0.72/1.11  !  [4, 1]      (w:0, o:16, a:1, s:1, b:0), 
% 0.72/1.11  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.72/1.11  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.72/1.11  identity  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.72/1.11  'double_divide'  [41, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.72/1.11  multiply  [44, 2]      (w:1, o:48, a:1, s:1, b:0), 
% 0.72/1.11  inverse  [45, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.72/1.11  a3  [46, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.72/1.11  b3  [47, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.72/1.11  c3  [48, 0]      (w:1, o:15, a:1, s:1, b:0).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  Starting Search:
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  Bliksems!, er is een bewijs:
% 0.72/1.11  % SZS status Unsatisfiable
% 0.72/1.11  % SZS output start Refutation
% 0.72/1.11  
% 0.72/1.11  clause( 0, [ =( 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), 
% 0.72/1.11    'double_divide'( identity, identity ) ), 'double_divide'( X, Z ) ) ), Y )
% 0.72/1.11     ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ), 
% 0.72/1.11    multiply( X, Y ) ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 4, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( 
% 0.72/1.11    a3, b3 ), c3 ) ) ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X )
% 0.72/1.11     ), identity ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 10, [ =( 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse( 
% 0.72/1.11    identity ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 11, [ =( 'double_divide'( 'double_divide'( identity, Z ), 
% 0.72/1.11    'double_divide'( identity, 'double_divide'( Z, multiply( Y, X ) ) ) ), 
% 0.72/1.11    'double_divide'( X, Y ) ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 13, [ =( 'double_divide'( 'double_divide'( identity, Y ), 
% 0.72/1.11    'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ), X ) ]
% 0.72/1.11     )
% 0.72/1.11  .
% 0.72/1.11  clause( 21, [ =( 'double_divide'( 'double_divide'( identity, X ), inverse( 
% 0.72/1.11    identity ) ), X ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 28, [ =( inverse( identity ), identity ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 29, [ =( multiply( X, identity ), X ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 32, [ =( 'double_divide'( 'double_divide'( identity, X ), X ), 
% 0.72/1.11    identity ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 37, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 41, [ =( 'double_divide'( identity, 'double_divide'( identity, X )
% 0.72/1.11     ), X ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 44, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 50, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 51, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 54, [ =( inverse( multiply( X, Y ) ), 'double_divide'( Y, X ) ) ]
% 0.72/1.11     )
% 0.72/1.11  .
% 0.72/1.11  clause( 59, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), Y ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 62, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 72, [ =( 'double_divide'( 'double_divide'( Z, Y ), inverse( X ) ), 
% 0.72/1.11    multiply( multiply( Y, Z ), X ) ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 74, [ =( multiply( inverse( Y ), X ), 'double_divide'( Y, inverse( 
% 0.72/1.11    X ) ) ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 77, [ =( 'double_divide'( multiply( Z, Y ), 'double_divide'( X, Z )
% 0.72/1.11     ), 'double_divide'( Y, inverse( X ) ) ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 80, [ =( multiply( X, 'double_divide'( X, Y ) ), inverse( Y ) ) ]
% 0.72/1.11     )
% 0.72/1.11  .
% 0.72/1.11  clause( 85, [ =( 'double_divide'( inverse( X ), inverse( Y ) ), multiply( X
% 0.72/1.11    , Y ) ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 88, [ =( 'double_divide'( inverse( Z ), 'double_divide'( Y, X ) ), 
% 0.72/1.11    multiply( Z, multiply( X, Y ) ) ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 123, [ =( multiply( Y, multiply( X, Z ) ), multiply( multiply( Y, X
% 0.72/1.11     ), Z ) ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 127, [] )
% 0.72/1.11  .
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  % SZS output end Refutation
% 0.72/1.11  found a proof!
% 0.72/1.11  
% 0.72/1.11  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.11  
% 0.72/1.11  initialclauses(
% 0.72/1.11  [ clause( 129, [ =( 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), 
% 0.72/1.11    'double_divide'( identity, identity ) ), 'double_divide'( X, Z ) ) ), Y )
% 0.72/1.11     ] )
% 0.72/1.11  , clause( 130, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, 
% 0.72/1.11    X ), identity ) ) ] )
% 0.72/1.11  , clause( 131, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.72/1.11  , clause( 132, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.72/1.11  , clause( 133, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, 
% 0.72/1.11    multiply( b3, c3 ) ) ) ) ] )
% 0.72/1.11  ] ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 0, [ =( 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), 
% 0.72/1.11    'double_divide'( identity, identity ) ), 'double_divide'( X, Z ) ) ), Y )
% 0.72/1.11     ] )
% 0.72/1.11  , clause( 129, [ =( 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), 
% 0.72/1.11    'double_divide'( identity, identity ) ), 'double_divide'( X, Z ) ) ), Y )
% 0.72/1.11     ] )
% 0.72/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.72/1.11    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 136, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ), 
% 0.72/1.11    multiply( X, Y ) ) ] )
% 0.72/1.11  , clause( 130, [ =( multiply( X, Y ), 'double_divide'( 'double_divide'( Y, 
% 0.72/1.11    X ), identity ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ), 
% 0.72/1.11    multiply( X, Y ) ) ] )
% 0.72/1.11  , clause( 136, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ), 
% 0.72/1.11    multiply( X, Y ) ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.11     )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 139, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.11  , clause( 131, [ =( inverse( X ), 'double_divide'( X, identity ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.11  , clause( 139, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 143, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.72/1.11  , clause( 132, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.72/1.11  , clause( 143, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 148, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( 
% 0.72/1.11    a3, b3 ), c3 ) ) ) ] )
% 0.72/1.11  , clause( 133, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, 
% 0.72/1.11    multiply( b3, c3 ) ) ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 4, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( 
% 0.72/1.11    a3, b3 ), c3 ) ) ) ] )
% 0.72/1.11  , clause( 148, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( 
% 0.72/1.11    multiply( a3, b3 ), c3 ) ) ) ] )
% 0.72/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 151, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) ) ]
% 0.72/1.11     )
% 0.72/1.11  , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.11  , 0, clause( 1, [ =( 'double_divide'( 'double_divide'( Y, X ), identity ), 
% 0.72/1.11    multiply( X, Y ) ) ] )
% 0.72/1.11  , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ), 
% 0.72/1.11    substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.72/1.11  , clause( 151, [ =( inverse( 'double_divide'( X, Y ) ), multiply( Y, X ) )
% 0.72/1.11     ] )
% 0.72/1.11  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.11     )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 154, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.72/1.11  , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 157, [ =( identity, 'double_divide'( 'double_divide'( X, Y ), 
% 0.72/1.11    multiply( Y, X ) ) ) ] )
% 0.72/1.11  , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.72/1.11     )
% 0.72/1.11  , 0, clause( 154, [ =( identity, 'double_divide'( X, inverse( X ) ) ) ] )
% 0.72/1.11  , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ 
% 0.72/1.11    :=( X, 'double_divide'( X, Y ) )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 158, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X
% 0.72/1.11     ) ), identity ) ] )
% 0.72/1.11  , clause( 157, [ =( identity, 'double_divide'( 'double_divide'( X, Y ), 
% 0.72/1.11    multiply( Y, X ) ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X )
% 0.72/1.11     ), identity ) ] )
% 0.72/1.11  , clause( 158, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, 
% 0.72/1.11    X ) ), identity ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.11     )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 160, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.72/1.11     )
% 0.72/1.11  , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.72/1.11     )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 163, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.72/1.11  , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.11  , 0, clause( 160, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.72/1.11     ) ] )
% 0.72/1.11  , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), 
% 0.72/1.11    :=( Y, identity )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.72/1.11  , clause( 163, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 167, [ =( 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse( 
% 0.72/1.11    identity ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 0.72/1.11  , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.11  , 0, clause( 0, [ =( 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), 
% 0.72/1.11    'double_divide'( identity, identity ) ), 'double_divide'( X, Z ) ) ), Y )
% 0.72/1.11     ] )
% 0.72/1.11  , 0, 10, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X
% 0.72/1.11    , X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 10, [ =( 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse( 
% 0.72/1.11    identity ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 0.72/1.11  , clause( 167, [ =( 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse( 
% 0.72/1.11    identity ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.72/1.11    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 170, [ =( Y, 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse( 
% 0.72/1.11    identity ) ), 'double_divide'( X, Z ) ) ) ) ] )
% 0.72/1.11  , clause( 10, [ =( 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse( 
% 0.72/1.11    identity ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 173, [ =( 'double_divide'( X, Y ), 'double_divide'( 'double_divide'( 
% 0.72/1.11    identity, Z ), 'double_divide'( 'double_divide'( identity, inverse( 
% 0.72/1.11    identity ) ), 'double_divide'( Z, multiply( Y, X ) ) ) ) ) ] )
% 0.72/1.11  , clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X
% 0.72/1.11     ) ), identity ) ] )
% 0.72/1.11  , 0, clause( 170, [ =( Y, 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse( 
% 0.72/1.11    identity ) ), 'double_divide'( X, Z ) ) ) ) ] )
% 0.72/1.11  , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 0.72/1.11    :=( X, Z ), :=( Y, 'double_divide'( X, Y ) ), :=( Z, multiply( Y, X ) )] )
% 0.72/1.11    ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 175, [ =( 'double_divide'( X, Y ), 'double_divide'( 'double_divide'( 
% 0.72/1.11    identity, Z ), 'double_divide'( identity, 'double_divide'( Z, multiply( Y
% 0.72/1.11    , X ) ) ) ) ) ] )
% 0.72/1.11  , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.72/1.11  , 0, clause( 173, [ =( 'double_divide'( X, Y ), 'double_divide'( 
% 0.72/1.11    'double_divide'( identity, Z ), 'double_divide'( 'double_divide'( 
% 0.72/1.11    identity, inverse( identity ) ), 'double_divide'( Z, multiply( Y, X ) ) )
% 0.72/1.11     ) ) ] )
% 0.72/1.11  , 0, 9, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X, 
% 0.72/1.11    X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 176, [ =( 'double_divide'( 'double_divide'( identity, Z ), 
% 0.72/1.11    'double_divide'( identity, 'double_divide'( Z, multiply( Y, X ) ) ) ), 
% 0.72/1.11    'double_divide'( X, Y ) ) ] )
% 0.72/1.11  , clause( 175, [ =( 'double_divide'( X, Y ), 'double_divide'( 
% 0.72/1.11    'double_divide'( identity, Z ), 'double_divide'( identity, 
% 0.72/1.11    'double_divide'( Z, multiply( Y, X ) ) ) ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 11, [ =( 'double_divide'( 'double_divide'( identity, Z ), 
% 0.72/1.11    'double_divide'( identity, 'double_divide'( Z, multiply( Y, X ) ) ) ), 
% 0.72/1.11    'double_divide'( X, Y ) ) ] )
% 0.72/1.11  , clause( 176, [ =( 'double_divide'( 'double_divide'( identity, Z ), 
% 0.72/1.11    'double_divide'( identity, 'double_divide'( Z, multiply( Y, X ) ) ) ), 
% 0.72/1.11    'double_divide'( X, Y ) ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.72/1.11    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 178, [ =( Y, 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse( 
% 0.72/1.11    identity ) ), 'double_divide'( X, Z ) ) ) ) ] )
% 0.72/1.11  , clause( 10, [ =( 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse( 
% 0.72/1.11    identity ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 181, [ =( X, 'double_divide'( 'double_divide'( identity, Y ), 
% 0.72/1.11    'double_divide'( 'double_divide'( identity, inverse( identity ) ), 
% 0.72/1.11    'double_divide'( Y, inverse( X ) ) ) ) ) ] )
% 0.72/1.11  , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.72/1.11  , 0, clause( 178, [ =( Y, 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse( 
% 0.72/1.11    identity ) ), 'double_divide'( X, Z ) ) ) ) ] )
% 0.72/1.11  , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ), 
% 0.72/1.11    :=( Y, X ), :=( Z, inverse( X ) )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 184, [ =( X, 'double_divide'( 'double_divide'( identity, Y ), 
% 0.72/1.11    'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ) ) ] )
% 0.72/1.11  , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.72/1.11  , 0, clause( 181, [ =( X, 'double_divide'( 'double_divide'( identity, Y ), 
% 0.72/1.11    'double_divide'( 'double_divide'( identity, inverse( identity ) ), 
% 0.72/1.11    'double_divide'( Y, inverse( X ) ) ) ) ) ] )
% 0.72/1.11  , 0, 7, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X, 
% 0.72/1.11    X ), :=( Y, Y )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 185, [ =( 'double_divide'( 'double_divide'( identity, Y ), 
% 0.72/1.11    'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ), X ) ]
% 0.72/1.11     )
% 0.72/1.11  , clause( 184, [ =( X, 'double_divide'( 'double_divide'( identity, Y ), 
% 0.72/1.11    'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 13, [ =( 'double_divide'( 'double_divide'( identity, Y ), 
% 0.72/1.11    'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ), X ) ]
% 0.72/1.11     )
% 0.72/1.11  , clause( 185, [ =( 'double_divide'( 'double_divide'( identity, Y ), 
% 0.72/1.11    'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ), X ) ]
% 0.72/1.11     )
% 0.72/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.11     )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 187, [ =( Y, 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( identity, 'double_divide'( X, inverse( Y ) ) ) ) ) ] )
% 0.72/1.11  , clause( 13, [ =( 'double_divide'( 'double_divide'( identity, Y ), 
% 0.72/1.11    'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ), X ) ]
% 0.72/1.11     )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 190, [ =( X, 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( identity, identity ) ) ) ] )
% 0.72/1.11  , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.72/1.11  , 0, clause( 187, [ =( Y, 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( identity, 'double_divide'( X, inverse( Y ) ) ) ) ) ] )
% 0.72/1.11  , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), 
% 0.72/1.11    :=( Y, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 191, [ =( X, 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    inverse( identity ) ) ) ] )
% 0.72/1.11  , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.11  , 0, clause( 190, [ =( X, 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( identity, identity ) ) ) ] )
% 0.72/1.11  , 0, 6, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X, 
% 0.72/1.11    X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 192, [ =( 'double_divide'( 'double_divide'( identity, X ), inverse( 
% 0.72/1.11    identity ) ), X ) ] )
% 0.72/1.11  , clause( 191, [ =( X, 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    inverse( identity ) ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 21, [ =( 'double_divide'( 'double_divide'( identity, X ), inverse( 
% 0.72/1.11    identity ) ), X ) ] )
% 0.72/1.11  , clause( 192, [ =( 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    inverse( identity ) ), X ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 194, [ =( X, 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    inverse( identity ) ) ) ] )
% 0.72/1.11  , clause( 21, [ =( 'double_divide'( 'double_divide'( identity, X ), inverse( 
% 0.72/1.11    identity ) ), X ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 196, [ =( inverse( identity ), 'double_divide'( identity, inverse( 
% 0.72/1.11    identity ) ) ) ] )
% 0.72/1.11  , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.72/1.11  , 0, clause( 194, [ =( X, 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    inverse( identity ) ) ) ] )
% 0.72/1.11  , 0, 4, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X, 
% 0.72/1.11    inverse( identity ) )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 198, [ =( inverse( identity ), identity ) ] )
% 0.72/1.11  , clause( 3, [ =( 'double_divide'( X, inverse( X ) ), identity ) ] )
% 0.72/1.11  , 0, clause( 196, [ =( inverse( identity ), 'double_divide'( identity, 
% 0.72/1.11    inverse( identity ) ) ) ] )
% 0.72/1.11  , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 28, [ =( inverse( identity ), identity ) ] )
% 0.72/1.11  , clause( 198, [ =( inverse( identity ), identity ) ] )
% 0.72/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 201, [ =( X, 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    inverse( identity ) ) ) ] )
% 0.72/1.11  , clause( 21, [ =( 'double_divide'( 'double_divide'( identity, X ), inverse( 
% 0.72/1.11    identity ) ), X ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 204, [ =( X, 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    identity ) ) ] )
% 0.72/1.11  , clause( 28, [ =( inverse( identity ), identity ) ] )
% 0.72/1.11  , 0, clause( 201, [ =( X, 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    inverse( identity ) ) ) ] )
% 0.72/1.11  , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 205, [ =( X, inverse( 'double_divide'( identity, X ) ) ) ] )
% 0.72/1.11  , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.11  , 0, clause( 204, [ =( X, 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    identity ) ) ] )
% 0.72/1.11  , 0, 2, substitution( 0, [ :=( X, 'double_divide'( identity, X ) )] ), 
% 0.72/1.11    substitution( 1, [ :=( X, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 206, [ =( X, multiply( X, identity ) ) ] )
% 0.72/1.11  , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.72/1.11     )
% 0.72/1.11  , 0, clause( 205, [ =( X, inverse( 'double_divide'( identity, X ) ) ) ] )
% 0.72/1.11  , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution( 
% 0.72/1.11    1, [ :=( X, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 207, [ =( multiply( X, identity ), X ) ] )
% 0.72/1.11  , clause( 206, [ =( X, multiply( X, identity ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 29, [ =( multiply( X, identity ), X ) ] )
% 0.72/1.11  , clause( 207, [ =( multiply( X, identity ), X ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 209, [ =( identity, 'double_divide'( 'double_divide'( X, Y ), 
% 0.72/1.11    multiply( Y, X ) ) ) ] )
% 0.72/1.11  , clause( 6, [ =( 'double_divide'( 'double_divide'( X, Y ), multiply( Y, X
% 0.72/1.11     ) ), identity ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 210, [ =( identity, 'double_divide'( 'double_divide'( identity, X )
% 0.72/1.11    , X ) ) ] )
% 0.72/1.11  , clause( 29, [ =( multiply( X, identity ), X ) ] )
% 0.72/1.11  , 0, clause( 209, [ =( identity, 'double_divide'( 'double_divide'( X, Y ), 
% 0.72/1.11    multiply( Y, X ) ) ) ] )
% 0.72/1.11  , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, 
% 0.72/1.11    identity ), :=( Y, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 211, [ =( 'double_divide'( 'double_divide'( identity, X ), X ), 
% 0.72/1.11    identity ) ] )
% 0.72/1.11  , clause( 210, [ =( identity, 'double_divide'( 'double_divide'( identity, X
% 0.72/1.11     ), X ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 32, [ =( 'double_divide'( 'double_divide'( identity, X ), X ), 
% 0.72/1.11    identity ) ] )
% 0.72/1.11  , clause( 211, [ =( 'double_divide'( 'double_divide'( identity, X ), X ), 
% 0.72/1.11    identity ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 213, [ =( Y, 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( identity, 'double_divide'( X, inverse( Y ) ) ) ) ) ] )
% 0.72/1.11  , clause( 13, [ =( 'double_divide'( 'double_divide'( identity, Y ), 
% 0.72/1.11    'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ), X ) ]
% 0.72/1.11     )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 216, [ =( X, 'double_divide'( 'double_divide'( identity, 
% 0.72/1.11    'double_divide'( identity, inverse( X ) ) ), 'double_divide'( identity, 
% 0.72/1.11    identity ) ) ) ] )
% 0.72/1.11  , clause( 32, [ =( 'double_divide'( 'double_divide'( identity, X ), X ), 
% 0.72/1.11    identity ) ] )
% 0.72/1.11  , 0, clause( 213, [ =( Y, 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( identity, 'double_divide'( X, inverse( Y ) ) ) ) ) ] )
% 0.72/1.11  , 0, 11, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [ 
% 0.72/1.11    :=( X, 'double_divide'( identity, inverse( X ) ) ), :=( Y, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 217, [ =( X, 'double_divide'( 'double_divide'( identity, 
% 0.72/1.11    'double_divide'( identity, inverse( X ) ) ), inverse( identity ) ) ) ] )
% 0.72/1.11  , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.11  , 0, clause( 216, [ =( X, 'double_divide'( 'double_divide'( identity, 
% 0.72/1.11    'double_divide'( identity, inverse( X ) ) ), 'double_divide'( identity, 
% 0.72/1.11    identity ) ) ) ] )
% 0.72/1.11  , 0, 9, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X, 
% 0.72/1.11    X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 218, [ =( X, 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.72/1.11  , clause( 21, [ =( 'double_divide'( 'double_divide'( identity, X ), inverse( 
% 0.72/1.11    identity ) ), X ) ] )
% 0.72/1.11  , 0, clause( 217, [ =( X, 'double_divide'( 'double_divide'( identity, 
% 0.72/1.11    'double_divide'( identity, inverse( X ) ) ), inverse( identity ) ) ) ] )
% 0.72/1.11  , 0, 2, substitution( 0, [ :=( X, 'double_divide'( identity, inverse( X ) )
% 0.72/1.11     )] ), substitution( 1, [ :=( X, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 219, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.72/1.11  , clause( 218, [ =( X, 'double_divide'( identity, inverse( X ) ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 37, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.72/1.11  , clause( 219, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 221, [ =( Y, 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( identity, 'double_divide'( X, inverse( Y ) ) ) ) ) ] )
% 0.72/1.11  , clause( 13, [ =( 'double_divide'( 'double_divide'( identity, Y ), 
% 0.72/1.11    'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ), X ) ]
% 0.72/1.11     )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 225, [ =( X, 'double_divide'( 'double_divide'( identity, identity )
% 0.72/1.11    , 'double_divide'( identity, X ) ) ) ] )
% 0.72/1.11  , clause( 37, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.72/1.11  , 0, clause( 221, [ =( Y, 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( identity, 'double_divide'( X, inverse( Y ) ) ) ) ) ] )
% 0.72/1.11  , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, 
% 0.72/1.11    identity ), :=( Y, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 226, [ =( X, 'double_divide'( inverse( identity ), 'double_divide'( 
% 0.72/1.11    identity, X ) ) ) ] )
% 0.72/1.11  , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.11  , 0, clause( 225, [ =( X, 'double_divide'( 'double_divide'( identity, 
% 0.72/1.11    identity ), 'double_divide'( identity, X ) ) ) ] )
% 0.72/1.11  , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X, 
% 0.72/1.11    X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 227, [ =( X, 'double_divide'( identity, 'double_divide'( identity, 
% 0.72/1.11    X ) ) ) ] )
% 0.72/1.11  , clause( 28, [ =( inverse( identity ), identity ) ] )
% 0.72/1.11  , 0, clause( 226, [ =( X, 'double_divide'( inverse( identity ), 
% 0.72/1.11    'double_divide'( identity, X ) ) ) ] )
% 0.72/1.11  , 0, 3, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 228, [ =( 'double_divide'( identity, 'double_divide'( identity, X )
% 0.72/1.11     ), X ) ] )
% 0.72/1.11  , clause( 227, [ =( X, 'double_divide'( identity, 'double_divide'( identity
% 0.72/1.11    , X ) ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 41, [ =( 'double_divide'( identity, 'double_divide'( identity, X )
% 0.72/1.11     ), X ) ] )
% 0.72/1.11  , clause( 228, [ =( 'double_divide'( identity, 'double_divide'( identity, X
% 0.72/1.11     ) ), X ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 230, [ =( X, 'double_divide'( identity, 'double_divide'( identity, 
% 0.72/1.11    X ) ) ) ] )
% 0.72/1.11  , clause( 41, [ =( 'double_divide'( identity, 'double_divide'( identity, X
% 0.72/1.11     ) ), X ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 231, [ =( inverse( X ), 'double_divide'( identity, X ) ) ] )
% 0.72/1.11  , clause( 37, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.72/1.11  , 0, clause( 230, [ =( X, 'double_divide'( identity, 'double_divide'( 
% 0.72/1.11    identity, X ) ) ) ] )
% 0.72/1.11  , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse( 
% 0.72/1.11    X ) )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 232, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.72/1.11  , clause( 231, [ =( inverse( X ), 'double_divide'( identity, X ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 44, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.72/1.11  , clause( 232, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 233, [ =( inverse( X ), 'double_divide'( identity, X ) ) ] )
% 0.72/1.11  , clause( 44, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 235, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.11  , clause( 37, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.72/1.11  , 0, clause( 233, [ =( inverse( X ), 'double_divide'( identity, X ) ) ] )
% 0.72/1.11  , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse( 
% 0.72/1.11    X ) )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 50, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.11  , clause( 235, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 238, [ =( identity, 'double_divide'( 'double_divide'( identity, X )
% 0.72/1.11    , X ) ) ] )
% 0.72/1.11  , clause( 32, [ =( 'double_divide'( 'double_divide'( identity, X ), X ), 
% 0.72/1.11    identity ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 239, [ =( identity, 'double_divide'( inverse( X ), X ) ) ] )
% 0.72/1.11  , clause( 44, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.72/1.11  , 0, clause( 238, [ =( identity, 'double_divide'( 'double_divide'( identity
% 0.72/1.11    , X ), X ) ) ] )
% 0.72/1.11  , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.72/1.11    ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 240, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 0.72/1.11  , clause( 239, [ =( identity, 'double_divide'( inverse( X ), X ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 51, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 0.72/1.11  , clause( 240, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 242, [ =( 'double_divide'( Z, Y ), 'double_divide'( 'double_divide'( 
% 0.72/1.11    identity, X ), 'double_divide'( identity, 'double_divide'( X, multiply( Y
% 0.72/1.11    , Z ) ) ) ) ) ] )
% 0.72/1.11  , clause( 11, [ =( 'double_divide'( 'double_divide'( identity, Z ), 
% 0.72/1.11    'double_divide'( identity, 'double_divide'( Z, multiply( Y, X ) ) ) ), 
% 0.72/1.11    'double_divide'( X, Y ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 249, [ =( 'double_divide'( X, Y ), 'double_divide'( 'double_divide'( 
% 0.72/1.11    identity, identity ), 'double_divide'( identity, inverse( multiply( Y, X
% 0.72/1.11     ) ) ) ) ) ] )
% 0.72/1.11  , clause( 44, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.72/1.11  , 0, clause( 242, [ =( 'double_divide'( Z, Y ), 'double_divide'( 
% 0.72/1.11    'double_divide'( identity, X ), 'double_divide'( identity, 
% 0.72/1.11    'double_divide'( X, multiply( Y, Z ) ) ) ) ) ] )
% 0.72/1.11  , 0, 10, substitution( 0, [ :=( X, multiply( Y, X ) )] ), substitution( 1
% 0.72/1.11    , [ :=( X, identity ), :=( Y, Y ), :=( Z, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 257, [ =( 'double_divide'( X, Y ), 'double_divide'( inverse( 
% 0.72/1.11    identity ), 'double_divide'( identity, inverse( multiply( Y, X ) ) ) ) )
% 0.72/1.11     ] )
% 0.72/1.11  , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.11  , 0, clause( 249, [ =( 'double_divide'( X, Y ), 'double_divide'( 
% 0.72/1.11    'double_divide'( identity, identity ), 'double_divide'( identity, inverse( 
% 0.72/1.11    multiply( Y, X ) ) ) ) ) ] )
% 0.72/1.11  , 0, 5, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X, 
% 0.72/1.11    X ), :=( Y, Y )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 258, [ =( 'double_divide'( X, Y ), 'double_divide'( identity, 
% 0.72/1.11    'double_divide'( identity, inverse( multiply( Y, X ) ) ) ) ) ] )
% 0.72/1.11  , clause( 28, [ =( inverse( identity ), identity ) ] )
% 0.72/1.11  , 0, clause( 257, [ =( 'double_divide'( X, Y ), 'double_divide'( inverse( 
% 0.72/1.11    identity ), 'double_divide'( identity, inverse( multiply( Y, X ) ) ) ) )
% 0.72/1.11     ] )
% 0.72/1.11  , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.72/1.11    ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 259, [ =( 'double_divide'( X, Y ), inverse( multiply( Y, X ) ) ) ]
% 0.72/1.11     )
% 0.72/1.11  , clause( 41, [ =( 'double_divide'( identity, 'double_divide'( identity, X
% 0.72/1.11     ) ), X ) ] )
% 0.72/1.11  , 0, clause( 258, [ =( 'double_divide'( X, Y ), 'double_divide'( identity, 
% 0.72/1.11    'double_divide'( identity, inverse( multiply( Y, X ) ) ) ) ) ] )
% 0.72/1.11  , 0, 4, substitution( 0, [ :=( X, inverse( multiply( Y, X ) ) )] ), 
% 0.72/1.11    substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 260, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) ) ]
% 0.72/1.11     )
% 0.72/1.11  , clause( 259, [ =( 'double_divide'( X, Y ), inverse( multiply( Y, X ) ) )
% 0.72/1.11     ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 54, [ =( inverse( multiply( X, Y ) ), 'double_divide'( Y, X ) ) ]
% 0.72/1.11     )
% 0.72/1.11  , clause( 260, [ =( inverse( multiply( Y, X ) ), 'double_divide'( X, Y ) )
% 0.72/1.11     ] )
% 0.72/1.11  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.11     )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 262, [ =( Y, 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse( 
% 0.72/1.11    identity ) ), 'double_divide'( X, Z ) ) ) ) ] )
% 0.72/1.11  , clause( 10, [ =( 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse( 
% 0.72/1.11    identity ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 270, [ =( X, 'double_divide'( 'double_divide'( identity, inverse( Y
% 0.72/1.11     ) ), 'double_divide'( 'double_divide'( 'double_divide'( X, Y ), inverse( 
% 0.72/1.11    identity ) ), identity ) ) ) ] )
% 0.72/1.11  , clause( 51, [ =( 'double_divide'( inverse( X ), X ), identity ) ] )
% 0.72/1.11  , 0, clause( 262, [ =( Y, 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse( 
% 0.72/1.11    identity ) ), 'double_divide'( X, Z ) ) ) ) ] )
% 0.72/1.11  , 0, 14, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, 
% 0.72/1.11    inverse( Y ) ), :=( Y, X ), :=( Z, Y )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 271, [ =( X, 'double_divide'( Y, 'double_divide'( 'double_divide'( 
% 0.72/1.11    'double_divide'( X, Y ), inverse( identity ) ), identity ) ) ) ] )
% 0.72/1.11  , clause( 37, [ =( 'double_divide'( identity, inverse( X ) ), X ) ] )
% 0.72/1.11  , 0, clause( 270, [ =( X, 'double_divide'( 'double_divide'( identity, 
% 0.72/1.11    inverse( Y ) ), 'double_divide'( 'double_divide'( 'double_divide'( X, Y )
% 0.72/1.11    , inverse( identity ) ), identity ) ) ) ] )
% 0.72/1.11  , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ), 
% 0.72/1.11    :=( Y, Y )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 272, [ =( X, 'double_divide'( Y, inverse( 'double_divide'( 
% 0.72/1.11    'double_divide'( X, Y ), inverse( identity ) ) ) ) ) ] )
% 0.72/1.11  , clause( 2, [ =( 'double_divide'( X, identity ), inverse( X ) ) ] )
% 0.72/1.11  , 0, clause( 271, [ =( X, 'double_divide'( Y, 'double_divide'( 
% 0.72/1.11    'double_divide'( 'double_divide'( X, Y ), inverse( identity ) ), identity
% 0.72/1.11     ) ) ) ] )
% 0.72/1.11  , 0, 4, substitution( 0, [ :=( X, 'double_divide'( 'double_divide'( X, Y )
% 0.72/1.11    , inverse( identity ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.72/1.11    ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 273, [ =( X, 'double_divide'( Y, multiply( inverse( identity ), 
% 0.72/1.11    'double_divide'( X, Y ) ) ) ) ] )
% 0.72/1.11  , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.72/1.11     )
% 0.72/1.11  , 0, clause( 272, [ =( X, 'double_divide'( Y, inverse( 'double_divide'( 
% 0.72/1.11    'double_divide'( X, Y ), inverse( identity ) ) ) ) ) ] )
% 0.72/1.11  , 0, 4, substitution( 0, [ :=( X, inverse( identity ) ), :=( Y, 
% 0.72/1.11    'double_divide'( X, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.72/1.11    ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 274, [ =( X, 'double_divide'( Y, multiply( identity, 
% 0.72/1.11    'double_divide'( X, Y ) ) ) ) ] )
% 0.72/1.11  , clause( 28, [ =( inverse( identity ), identity ) ] )
% 0.72/1.11  , 0, clause( 273, [ =( X, 'double_divide'( Y, multiply( inverse( identity )
% 0.72/1.11    , 'double_divide'( X, Y ) ) ) ) ] )
% 0.72/1.11  , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.72/1.11    ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 275, [ =( X, 'double_divide'( Y, inverse( inverse( 'double_divide'( 
% 0.72/1.11    X, Y ) ) ) ) ) ] )
% 0.72/1.11  , clause( 8, [ =( multiply( identity, X ), inverse( inverse( X ) ) ) ] )
% 0.72/1.11  , 0, clause( 274, [ =( X, 'double_divide'( Y, multiply( identity, 
% 0.72/1.11    'double_divide'( X, Y ) ) ) ) ] )
% 0.72/1.11  , 0, 4, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ), 
% 0.72/1.11    substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 276, [ =( X, 'double_divide'( Y, 'double_divide'( X, Y ) ) ) ] )
% 0.72/1.11  , clause( 50, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.11  , 0, clause( 275, [ =( X, 'double_divide'( Y, inverse( inverse( 
% 0.72/1.11    'double_divide'( X, Y ) ) ) ) ) ] )
% 0.72/1.11  , 0, 4, substitution( 0, [ :=( X, 'double_divide'( X, Y ) )] ), 
% 0.72/1.11    substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 277, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.72/1.11  , clause( 276, [ =( X, 'double_divide'( Y, 'double_divide'( X, Y ) ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 59, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), Y ) ] )
% 0.72/1.11  , clause( 277, [ =( 'double_divide'( Y, 'double_divide'( X, Y ) ), X ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.11     )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 278, [ =( Y, 'double_divide'( X, 'double_divide'( Y, X ) ) ) ] )
% 0.72/1.11  , clause( 59, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), Y ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 281, [ =( X, 'double_divide'( 'double_divide'( Y, X ), Y ) ) ] )
% 0.72/1.11  , clause( 59, [ =( 'double_divide'( X, 'double_divide'( Y, X ) ), Y ) ] )
% 0.72/1.11  , 0, clause( 278, [ =( Y, 'double_divide'( X, 'double_divide'( Y, X ) ) ) ]
% 0.72/1.11     )
% 0.72/1.11  , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 0.72/1.11    :=( X, 'double_divide'( Y, X ) ), :=( Y, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 282, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.72/1.11  , clause( 281, [ =( X, 'double_divide'( 'double_divide'( Y, X ), Y ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 62, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.72/1.11  , clause( 282, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.11     )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 284, [ =( Y, 'double_divide'( 'double_divide'( X, Y ), X ) ) ] )
% 0.72/1.11  , clause( 62, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 308, [ =( 'double_divide'( identity, 'double_divide'( X, multiply( 
% 0.72/1.11    Y, Z ) ) ), 'double_divide'( 'double_divide'( Z, Y ), 'double_divide'( 
% 0.72/1.11    identity, X ) ) ) ] )
% 0.72/1.11  , clause( 11, [ =( 'double_divide'( 'double_divide'( identity, Z ), 
% 0.72/1.11    'double_divide'( identity, 'double_divide'( Z, multiply( Y, X ) ) ) ), 
% 0.72/1.11    'double_divide'( X, Y ) ) ] )
% 0.72/1.11  , 0, clause( 284, [ =( Y, 'double_divide'( 'double_divide'( X, Y ), X ) ) ]
% 0.72/1.11     )
% 0.72/1.11  , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ), 
% 0.72/1.11    substitution( 1, [ :=( X, 'double_divide'( identity, X ) ), :=( Y, 
% 0.72/1.11    'double_divide'( identity, 'double_divide'( X, multiply( Y, Z ) ) ) )] )
% 0.72/1.11    ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 310, [ =( 'double_divide'( identity, 'double_divide'( X, multiply( 
% 0.72/1.11    Y, Z ) ) ), 'double_divide'( 'double_divide'( Z, Y ), inverse( X ) ) ) ]
% 0.72/1.11     )
% 0.72/1.11  , clause( 44, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.72/1.11  , 0, clause( 308, [ =( 'double_divide'( identity, 'double_divide'( X, 
% 0.72/1.11    multiply( Y, Z ) ) ), 'double_divide'( 'double_divide'( Z, Y ), 
% 0.72/1.11    'double_divide'( identity, X ) ) ) ] )
% 0.72/1.11  , 0, 12, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), 
% 0.72/1.11    :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 312, [ =( inverse( 'double_divide'( X, multiply( Y, Z ) ) ), 
% 0.72/1.11    'double_divide'( 'double_divide'( Z, Y ), inverse( X ) ) ) ] )
% 0.72/1.11  , clause( 44, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.72/1.11  , 0, clause( 310, [ =( 'double_divide'( identity, 'double_divide'( X, 
% 0.72/1.11    multiply( Y, Z ) ) ), 'double_divide'( 'double_divide'( Z, Y ), inverse( 
% 0.72/1.11    X ) ) ) ] )
% 0.72/1.11  , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, multiply( Y, Z ) ) )] )
% 0.72/1.11    , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 313, [ =( multiply( multiply( Y, Z ), X ), 'double_divide'( 
% 0.72/1.11    'double_divide'( Z, Y ), inverse( X ) ) ) ] )
% 0.72/1.11  , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.72/1.11     )
% 0.72/1.11  , 0, clause( 312, [ =( inverse( 'double_divide'( X, multiply( Y, Z ) ) ), 
% 0.72/1.11    'double_divide'( 'double_divide'( Z, Y ), inverse( X ) ) ) ] )
% 0.72/1.11  , 0, 1, substitution( 0, [ :=( X, multiply( Y, Z ) ), :=( Y, X )] ), 
% 0.72/1.11    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 314, [ =( 'double_divide'( 'double_divide'( Y, X ), inverse( Z ) )
% 0.72/1.11    , multiply( multiply( X, Y ), Z ) ) ] )
% 0.72/1.11  , clause( 313, [ =( multiply( multiply( Y, Z ), X ), 'double_divide'( 
% 0.72/1.11    'double_divide'( Z, Y ), inverse( X ) ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 72, [ =( 'double_divide'( 'double_divide'( Z, Y ), inverse( X ) ), 
% 0.72/1.11    multiply( multiply( Y, Z ), X ) ) ] )
% 0.72/1.11  , clause( 314, [ =( 'double_divide'( 'double_divide'( Y, X ), inverse( Z )
% 0.72/1.11     ), multiply( multiply( X, Y ), Z ) ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ), 
% 0.72/1.11    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 316, [ =( Y, 'double_divide'( 'double_divide'( X, Y ), X ) ) ] )
% 0.72/1.11  , clause( 62, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 330, [ =( 'double_divide'( identity, 'double_divide'( X, inverse( Y
% 0.72/1.11     ) ) ), 'double_divide'( Y, 'double_divide'( identity, X ) ) ) ] )
% 0.72/1.11  , clause( 13, [ =( 'double_divide'( 'double_divide'( identity, Y ), 
% 0.72/1.11    'double_divide'( identity, 'double_divide'( Y, inverse( X ) ) ) ), X ) ]
% 0.72/1.11     )
% 0.72/1.11  , 0, clause( 316, [ =( Y, 'double_divide'( 'double_divide'( X, Y ), X ) ) ]
% 0.72/1.11     )
% 0.72/1.11  , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ 
% 0.72/1.11    :=( X, 'double_divide'( identity, X ) ), :=( Y, 'double_divide'( identity
% 0.72/1.11    , 'double_divide'( X, inverse( Y ) ) ) )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 332, [ =( 'double_divide'( identity, 'double_divide'( X, inverse( Y
% 0.72/1.11     ) ) ), 'double_divide'( Y, inverse( X ) ) ) ] )
% 0.72/1.11  , clause( 44, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.72/1.11  , 0, clause( 330, [ =( 'double_divide'( identity, 'double_divide'( X, 
% 0.72/1.11    inverse( Y ) ) ), 'double_divide'( Y, 'double_divide'( identity, X ) ) )
% 0.72/1.11     ] )
% 0.72/1.11  , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), 
% 0.72/1.11    :=( Y, Y )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 334, [ =( inverse( 'double_divide'( X, inverse( Y ) ) ), 
% 0.72/1.11    'double_divide'( Y, inverse( X ) ) ) ] )
% 0.72/1.11  , clause( 44, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.72/1.11  , 0, clause( 332, [ =( 'double_divide'( identity, 'double_divide'( X, 
% 0.72/1.11    inverse( Y ) ) ), 'double_divide'( Y, inverse( X ) ) ) ] )
% 0.72/1.11  , 0, 1, substitution( 0, [ :=( X, 'double_divide'( X, inverse( Y ) ) )] ), 
% 0.72/1.11    substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 335, [ =( multiply( inverse( Y ), X ), 'double_divide'( Y, inverse( 
% 0.72/1.11    X ) ) ) ] )
% 0.72/1.11  , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.72/1.11     )
% 0.72/1.11  , 0, clause( 334, [ =( inverse( 'double_divide'( X, inverse( Y ) ) ), 
% 0.72/1.11    'double_divide'( Y, inverse( X ) ) ) ] )
% 0.72/1.11  , 0, 1, substitution( 0, [ :=( X, inverse( Y ) ), :=( Y, X )] ), 
% 0.72/1.11    substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 74, [ =( multiply( inverse( Y ), X ), 'double_divide'( Y, inverse( 
% 0.72/1.11    X ) ) ) ] )
% 0.72/1.11  , clause( 335, [ =( multiply( inverse( Y ), X ), 'double_divide'( Y, 
% 0.72/1.11    inverse( X ) ) ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.11     )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 338, [ =( Y, 'double_divide'( 'double_divide'( X, Y ), X ) ) ] )
% 0.72/1.11  , clause( 62, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 353, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X, Y )
% 0.72/1.11    , inverse( identity ) ), 'double_divide'( Z, Y ) ), 'double_divide'( X, 
% 0.72/1.11    'double_divide'( identity, Z ) ) ) ] )
% 0.72/1.11  , clause( 10, [ =( 'double_divide'( 'double_divide'( identity, X ), 
% 0.72/1.11    'double_divide'( 'double_divide'( 'double_divide'( Y, Z ), inverse( 
% 0.72/1.11    identity ) ), 'double_divide'( X, Z ) ) ), Y ) ] )
% 0.72/1.11  , 0, clause( 338, [ =( Y, 'double_divide'( 'double_divide'( X, Y ), X ) ) ]
% 0.72/1.11     )
% 0.72/1.11  , 0, 12, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ), 
% 0.72/1.11    substitution( 1, [ :=( X, 'double_divide'( identity, Z ) ), :=( Y, 
% 0.72/1.11    'double_divide'( 'double_divide'( 'double_divide'( X, Y ), inverse( 
% 0.72/1.11    identity ) ), 'double_divide'( Z, Y ) ) )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 354, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X, Y )
% 0.72/1.11    , inverse( identity ) ), 'double_divide'( Z, Y ) ), 'double_divide'( X, 
% 0.72/1.11    inverse( Z ) ) ) ] )
% 0.72/1.11  , clause( 44, [ =( 'double_divide'( identity, X ), inverse( X ) ) ] )
% 0.72/1.11  , 0, clause( 353, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X
% 0.72/1.11    , Y ), inverse( identity ) ), 'double_divide'( Z, Y ) ), 'double_divide'( 
% 0.72/1.11    X, 'double_divide'( identity, Z ) ) ) ] )
% 0.72/1.11  , 0, 13, substitution( 0, [ :=( X, Z )] ), substitution( 1, [ :=( X, X ), 
% 0.72/1.11    :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 355, [ =( 'double_divide'( multiply( multiply( Y, X ), identity ), 
% 0.72/1.11    'double_divide'( Z, Y ) ), 'double_divide'( X, inverse( Z ) ) ) ] )
% 0.72/1.11  , clause( 72, [ =( 'double_divide'( 'double_divide'( Z, Y ), inverse( X ) )
% 0.72/1.11    , multiply( multiply( Y, Z ), X ) ) ] )
% 0.72/1.11  , 0, clause( 354, [ =( 'double_divide'( 'double_divide'( 'double_divide'( X
% 0.72/1.11    , Y ), inverse( identity ) ), 'double_divide'( Z, Y ) ), 'double_divide'( 
% 0.72/1.11    X, inverse( Z ) ) ) ] )
% 0.72/1.11  , 0, 2, substitution( 0, [ :=( X, identity ), :=( Y, Y ), :=( Z, X )] ), 
% 0.72/1.11    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 356, [ =( 'double_divide'( multiply( X, Y ), 'double_divide'( Z, X
% 0.72/1.11     ) ), 'double_divide'( Y, inverse( Z ) ) ) ] )
% 0.72/1.11  , clause( 29, [ =( multiply( X, identity ), X ) ] )
% 0.72/1.11  , 0, clause( 355, [ =( 'double_divide'( multiply( multiply( Y, X ), 
% 0.72/1.11    identity ), 'double_divide'( Z, Y ) ), 'double_divide'( X, inverse( Z ) )
% 0.72/1.11     ) ] )
% 0.72/1.11  , 0, 2, substitution( 0, [ :=( X, multiply( X, Y ) )] ), substitution( 1, [
% 0.72/1.11     :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 77, [ =( 'double_divide'( multiply( Z, Y ), 'double_divide'( X, Z )
% 0.72/1.11     ), 'double_divide'( Y, inverse( X ) ) ) ] )
% 0.72/1.11  , clause( 356, [ =( 'double_divide'( multiply( X, Y ), 'double_divide'( Z, 
% 0.72/1.11    X ) ), 'double_divide'( Y, inverse( Z ) ) ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ), 
% 0.72/1.11    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 359, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.72/1.11     )
% 0.72/1.11  , clause( 5, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.72/1.11     )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 360, [ =( multiply( X, 'double_divide'( X, Y ) ), inverse( Y ) ) ]
% 0.72/1.11     )
% 0.72/1.11  , clause( 62, [ =( 'double_divide'( 'double_divide'( Y, X ), Y ), X ) ] )
% 0.72/1.11  , 0, clause( 359, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.72/1.11     ) ] )
% 0.72/1.11  , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ 
% 0.72/1.11    :=( X, 'double_divide'( X, Y ) ), :=( Y, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 80, [ =( multiply( X, 'double_divide'( X, Y ) ), inverse( Y ) ) ]
% 0.72/1.11     )
% 0.72/1.11  , clause( 360, [ =( multiply( X, 'double_divide'( X, Y ) ), inverse( Y ) )
% 0.72/1.11     ] )
% 0.72/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.11     )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 363, [ =( 'double_divide'( X, inverse( Y ) ), multiply( inverse( X
% 0.72/1.11     ), Y ) ) ] )
% 0.72/1.11  , clause( 74, [ =( multiply( inverse( Y ), X ), 'double_divide'( Y, inverse( 
% 0.72/1.11    X ) ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 365, [ =( 'double_divide'( inverse( X ), inverse( Y ) ), multiply( 
% 0.72/1.11    X, Y ) ) ] )
% 0.72/1.11  , clause( 50, [ =( inverse( inverse( X ) ), X ) ] )
% 0.72/1.11  , 0, clause( 363, [ =( 'double_divide'( X, inverse( Y ) ), multiply( 
% 0.72/1.11    inverse( X ), Y ) ) ] )
% 0.72/1.11  , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, inverse( 
% 0.72/1.11    X ) ), :=( Y, Y )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 85, [ =( 'double_divide'( inverse( X ), inverse( Y ) ), multiply( X
% 0.72/1.11    , Y ) ) ] )
% 0.72/1.11  , clause( 365, [ =( 'double_divide'( inverse( X ), inverse( Y ) ), multiply( 
% 0.72/1.11    X, Y ) ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.11     )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 369, [ =( multiply( X, Y ), 'double_divide'( inverse( X ), inverse( 
% 0.72/1.11    Y ) ) ) ] )
% 0.72/1.11  , clause( 85, [ =( 'double_divide'( inverse( X ), inverse( Y ) ), multiply( 
% 0.72/1.11    X, Y ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 373, [ =( multiply( X, multiply( Y, Z ) ), 'double_divide'( inverse( 
% 0.72/1.11    X ), 'double_divide'( Z, Y ) ) ) ] )
% 0.72/1.11  , clause( 54, [ =( inverse( multiply( X, Y ) ), 'double_divide'( Y, X ) ) ]
% 0.72/1.11     )
% 0.72/1.11  , 0, clause( 369, [ =( multiply( X, Y ), 'double_divide'( inverse( X ), 
% 0.72/1.11    inverse( Y ) ) ) ] )
% 0.72/1.11  , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [ 
% 0.72/1.11    :=( X, X ), :=( Y, multiply( Y, Z ) )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 375, [ =( 'double_divide'( inverse( X ), 'double_divide'( Z, Y ) )
% 0.72/1.11    , multiply( X, multiply( Y, Z ) ) ) ] )
% 0.72/1.11  , clause( 373, [ =( multiply( X, multiply( Y, Z ) ), 'double_divide'( 
% 0.72/1.11    inverse( X ), 'double_divide'( Z, Y ) ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 88, [ =( 'double_divide'( inverse( Z ), 'double_divide'( Y, X ) ), 
% 0.72/1.11    multiply( Z, multiply( X, Y ) ) ) ] )
% 0.72/1.11  , clause( 375, [ =( 'double_divide'( inverse( X ), 'double_divide'( Z, Y )
% 0.72/1.11     ), multiply( X, multiply( Y, Z ) ) ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ), 
% 0.72/1.11    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 377, [ =( 'double_divide'( Y, inverse( Z ) ), 'double_divide'( 
% 0.72/1.11    multiply( X, Y ), 'double_divide'( Z, X ) ) ) ] )
% 0.72/1.11  , clause( 77, [ =( 'double_divide'( multiply( Z, Y ), 'double_divide'( X, Z
% 0.72/1.11     ) ), 'double_divide'( Y, inverse( X ) ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 381, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z ) )
% 0.72/1.11    , 'double_divide'( inverse( Y ), 'double_divide'( Z, X ) ) ) ] )
% 0.72/1.11  , clause( 80, [ =( multiply( X, 'double_divide'( X, Y ) ), inverse( Y ) ) ]
% 0.72/1.11     )
% 0.72/1.11  , 0, clause( 377, [ =( 'double_divide'( Y, inverse( Z ) ), 'double_divide'( 
% 0.72/1.11    multiply( X, Y ), 'double_divide'( Z, X ) ) ) ] )
% 0.72/1.11  , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 0.72/1.11    :=( X, X ), :=( Y, 'double_divide'( X, Y ) ), :=( Z, Z )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 382, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z ) )
% 0.72/1.11    , multiply( Y, multiply( X, Z ) ) ) ] )
% 0.72/1.11  , clause( 88, [ =( 'double_divide'( inverse( Z ), 'double_divide'( Y, X ) )
% 0.72/1.11    , multiply( Z, multiply( X, Y ) ) ) ] )
% 0.72/1.11  , 0, clause( 381, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z
% 0.72/1.11     ) ), 'double_divide'( inverse( Y ), 'double_divide'( Z, X ) ) ) ] )
% 0.72/1.11  , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ), 
% 0.72/1.11    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  paramod(
% 0.72/1.11  clause( 383, [ =( multiply( multiply( Y, X ), Z ), multiply( Y, multiply( X
% 0.72/1.11    , Z ) ) ) ] )
% 0.72/1.11  , clause( 72, [ =( 'double_divide'( 'double_divide'( Z, Y ), inverse( X ) )
% 0.72/1.11    , multiply( multiply( Y, Z ), X ) ) ] )
% 0.72/1.11  , 0, clause( 382, [ =( 'double_divide'( 'double_divide'( X, Y ), inverse( Z
% 0.72/1.11     ) ), multiply( Y, multiply( X, Z ) ) ) ] )
% 0.72/1.11  , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ), 
% 0.72/1.11    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 384, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.72/1.11     ), Z ) ) ] )
% 0.72/1.11  , clause( 383, [ =( multiply( multiply( Y, X ), Z ), multiply( Y, multiply( 
% 0.72/1.11    X, Z ) ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 123, [ =( multiply( Y, multiply( X, Z ) ), multiply( multiply( Y, X
% 0.72/1.11     ), Z ) ) ] )
% 0.72/1.11  , clause( 384, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.72/1.11    , Y ), Z ) ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ), 
% 0.72/1.11    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 385, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.72/1.11    , Z ) ) ) ] )
% 0.72/1.11  , clause( 123, [ =( multiply( Y, multiply( X, Z ) ), multiply( multiply( Y
% 0.72/1.11    , X ), Z ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  eqswap(
% 0.72/1.11  clause( 386, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, 
% 0.72/1.11    multiply( b3, c3 ) ) ) ) ] )
% 0.72/1.11  , clause( 4, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( 
% 0.72/1.11    a3, b3 ), c3 ) ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  resolution(
% 0.72/1.11  clause( 387, [] )
% 0.72/1.11  , clause( 386, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, 
% 0.72/1.11    multiply( b3, c3 ) ) ) ) ] )
% 0.72/1.11  , 0, clause( 385, [ =( multiply( multiply( X, Y ), Z ), multiply( X, 
% 0.72/1.11    multiply( Y, Z ) ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a3 ), :=( Y, b3 ), 
% 0.72/1.11    :=( Z, c3 )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 127, [] )
% 0.72/1.11  , clause( 387, [] )
% 0.72/1.11  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  end.
% 0.72/1.11  
% 0.72/1.11  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.11  
% 0.72/1.11  Memory use:
% 0.72/1.11  
% 0.72/1.11  space for terms:        1531
% 0.72/1.11  space for clauses:      15067
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  clauses generated:      951
% 0.72/1.11  clauses kept:           128
% 0.72/1.11  clauses selected:       43
% 0.72/1.11  clauses deleted:        39
% 0.72/1.11  clauses inuse deleted:  0
% 0.72/1.11  
% 0.72/1.11  subsentry:          565
% 0.72/1.11  literals s-matched: 176
% 0.72/1.11  literals matched:   174
% 0.72/1.11  full subsumption:   0
% 0.72/1.11  
% 0.72/1.11  checksum:           -1499910933
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  Bliksem ended
%------------------------------------------------------------------------------