TSTP Solution File: GRP537-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GRP537-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n003.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 07:37:31 EDT 2022

% Result   : Unsatisfiable 0.68s 1.07s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP537-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Tue Jun 14 07:46:55 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.68/1.07  *** allocated 10000 integers for termspace/termends
% 0.68/1.07  *** allocated 10000 integers for clauses
% 0.68/1.07  *** allocated 10000 integers for justifications
% 0.68/1.07  Bliksem 1.12
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  Automatic Strategy Selection
% 0.68/1.07  
% 0.68/1.07  Clauses:
% 0.68/1.07  [
% 0.68/1.07     [ =( divide( divide( X, Y ), divide( divide( X, Z ), Y ) ), Z ) ],
% 0.68/1.07     [ =( multiply( X, Y ), divide( X, divide( divide( Z, Z ), Y ) ) ) ],
% 0.68/1.07     [ =( inverse( X ), divide( divide( Y, Y ), X ) ) ],
% 0.68/1.07     [ =( identity, divide( X, X ) ) ],
% 0.68/1.07     [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 ), b1 ) ) )
% 0.68/1.07     ]
% 0.68/1.07  ] .
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  percentage equality = 1.000000, percentage horn = 1.000000
% 0.68/1.07  This is a pure equality problem
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  Options Used:
% 0.68/1.07  
% 0.68/1.07  useres =            1
% 0.68/1.07  useparamod =        1
% 0.68/1.07  useeqrefl =         1
% 0.68/1.07  useeqfact =         1
% 0.68/1.07  usefactor =         1
% 0.68/1.07  usesimpsplitting =  0
% 0.68/1.07  usesimpdemod =      5
% 0.68/1.07  usesimpres =        3
% 0.68/1.07  
% 0.68/1.07  resimpinuse      =  1000
% 0.68/1.07  resimpclauses =     20000
% 0.68/1.07  substype =          eqrewr
% 0.68/1.07  backwardsubs =      1
% 0.68/1.07  selectoldest =      5
% 0.68/1.07  
% 0.68/1.07  litorderings [0] =  split
% 0.68/1.07  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.68/1.07  
% 0.68/1.07  termordering =      kbo
% 0.68/1.07  
% 0.68/1.07  litapriori =        0
% 0.68/1.07  termapriori =       1
% 0.68/1.07  litaposteriori =    0
% 0.68/1.07  termaposteriori =   0
% 0.68/1.07  demodaposteriori =  0
% 0.68/1.07  ordereqreflfact =   0
% 0.68/1.07  
% 0.68/1.07  litselect =         negord
% 0.68/1.07  
% 0.68/1.07  maxweight =         15
% 0.68/1.07  maxdepth =          30000
% 0.68/1.07  maxlength =         115
% 0.68/1.07  maxnrvars =         195
% 0.68/1.07  excuselevel =       1
% 0.68/1.07  increasemaxweight = 1
% 0.68/1.07  
% 0.68/1.07  maxselected =       10000000
% 0.68/1.07  maxnrclauses =      10000000
% 0.68/1.07  
% 0.68/1.07  showgenerated =    0
% 0.68/1.07  showkept =         0
% 0.68/1.07  showselected =     0
% 0.68/1.07  showdeleted =      0
% 0.68/1.07  showresimp =       1
% 0.68/1.07  showstatus =       2000
% 0.68/1.07  
% 0.68/1.07  prologoutput =     1
% 0.68/1.07  nrgoals =          5000000
% 0.68/1.07  totalproof =       1
% 0.68/1.07  
% 0.68/1.07  Symbols occurring in the translation:
% 0.68/1.07  
% 0.68/1.07  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.68/1.07  .  [1, 2]      (w:1, o:21, a:1, s:1, b:0), 
% 0.68/1.07  !  [4, 1]      (w:0, o:15, a:1, s:1, b:0), 
% 0.68/1.07  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.68/1.07  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.68/1.07  divide  [41, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.68/1.07  multiply  [43, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.68/1.07  inverse  [44, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.68/1.07  identity  [45, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.68/1.07  a1  [46, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.68/1.07  b1  [47, 0]      (w:1, o:14, a:1, s:1, b:0).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  Starting Search:
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  Bliksems!, er is een bewijs:
% 0.68/1.07  % SZS status Unsatisfiable
% 0.68/1.07  % SZS output start Refutation
% 0.68/1.07  
% 0.68/1.07  clause( 0, [ =( divide( divide( X, Y ), divide( divide( X, Z ), Y ) ), Z )
% 0.68/1.07     ] )
% 0.68/1.07  .
% 0.68/1.07  clause( 1, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y )
% 0.68/1.07     ) ] )
% 0.68/1.07  .
% 0.68/1.07  clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.68/1.07  .
% 0.68/1.07  clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.68/1.07  .
% 0.68/1.07  clause( 4, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ), 
% 0.68/1.07    a1 ) ) ) ] )
% 0.68/1.07  .
% 0.68/1.07  clause( 5, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.68/1.07  .
% 0.68/1.07  clause( 6, [ =( inverse( identity ), identity ) ] )
% 0.68/1.07  .
% 0.68/1.07  clause( 7, [ =( divide( Z, divide( divide( divide( X, Y ), T ), divide( 
% 0.68/1.07    divide( X, Z ), Y ) ) ), T ) ] )
% 0.68/1.07  .
% 0.68/1.07  clause( 8, [ =( divide( divide( X, divide( divide( X, Z ), Y ) ), Z ), Y )
% 0.68/1.07     ] )
% 0.68/1.07  .
% 0.68/1.07  clause( 13, [ =( divide( divide( X, Y ), inverse( Y ) ), X ) ] )
% 0.68/1.07  .
% 0.68/1.07  clause( 18, [ =( divide( divide( X, identity ), identity ), X ) ] )
% 0.68/1.07  .
% 0.68/1.07  clause( 19, [ =( inverse( inverse( X ) ), X ) ] )
% 0.68/1.07  .
% 0.68/1.07  clause( 22, [ =( divide( divide( X, identity ), X ), identity ) ] )
% 0.68/1.07  .
% 0.68/1.07  clause( 24, [ =( divide( X, identity ), X ) ] )
% 0.68/1.07  .
% 0.68/1.07  clause( 25, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.68/1.07  .
% 0.68/1.07  clause( 27, [ =( divide( X, divide( X, Y ) ), Y ) ] )
% 0.68/1.07  .
% 0.68/1.07  clause( 28, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.68/1.07  .
% 0.68/1.07  clause( 35, [ =( divide( divide( divide( Y, Z ), T ), divide( divide( Y, X
% 0.68/1.07     ), Z ) ), divide( X, T ) ) ] )
% 0.68/1.07  .
% 0.68/1.07  clause( 42, [ =( multiply( divide( X, T ), T ), X ) ] )
% 0.68/1.07  .
% 0.68/1.07  clause( 43, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 0.68/1.07  .
% 0.68/1.07  clause( 45, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.68/1.07  .
% 0.68/1.07  clause( 49, [ =( divide( X, divide( divide( X, Y ), Z ) ), multiply( Z, Y )
% 0.68/1.07     ) ] )
% 0.68/1.07  .
% 0.68/1.07  clause( 50, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 0.68/1.07  .
% 0.68/1.07  clause( 54, [] )
% 0.68/1.07  .
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  % SZS output end Refutation
% 0.68/1.07  found a proof!
% 0.68/1.07  
% 0.68/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.07  
% 0.68/1.07  initialclauses(
% 0.68/1.07  [ clause( 56, [ =( divide( divide( X, Y ), divide( divide( X, Z ), Y ) ), Z
% 0.68/1.07     ) ] )
% 0.68/1.07  , clause( 57, [ =( multiply( X, Y ), divide( X, divide( divide( Z, Z ), Y )
% 0.68/1.07     ) ) ] )
% 0.68/1.07  , clause( 58, [ =( inverse( X ), divide( divide( Y, Y ), X ) ) ] )
% 0.68/1.07  , clause( 59, [ =( identity, divide( X, X ) ) ] )
% 0.68/1.07  , clause( 60, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.68/1.07     ), b1 ) ) ) ] )
% 0.68/1.07  ] ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  subsumption(
% 0.68/1.07  clause( 0, [ =( divide( divide( X, Y ), divide( divide( X, Z ), Y ) ), Z )
% 0.68/1.07     ] )
% 0.68/1.07  , clause( 56, [ =( divide( divide( X, Y ), divide( divide( X, Z ), Y ) ), Z
% 0.68/1.07     ) ] )
% 0.68/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.68/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 63, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y )
% 0.68/1.07     ) ] )
% 0.68/1.07  , clause( 57, [ =( multiply( X, Y ), divide( X, divide( divide( Z, Z ), Y )
% 0.68/1.07     ) ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  subsumption(
% 0.68/1.07  clause( 1, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y )
% 0.68/1.07     ) ] )
% 0.68/1.07  , clause( 63, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X, Y
% 0.68/1.07     ) ) ] )
% 0.68/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.68/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 66, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.68/1.07  , clause( 58, [ =( inverse( X ), divide( divide( Y, Y ), X ) ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  subsumption(
% 0.68/1.07  clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.68/1.07  , clause( 66, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.68/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.07     )] ) ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 70, [ =( divide( X, X ), identity ) ] )
% 0.68/1.07  , clause( 59, [ =( identity, divide( X, X ) ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, X )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  subsumption(
% 0.68/1.07  clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.68/1.07  , clause( 70, [ =( divide( X, X ), identity ) ] )
% 0.68/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 75, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.68/1.07    , a1 ) ) ) ] )
% 0.68/1.07  , clause( 60, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1
% 0.68/1.07     ), b1 ) ) ) ] )
% 0.68/1.07  , 0, substitution( 0, [] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  subsumption(
% 0.68/1.07  clause( 4, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 ), 
% 0.68/1.07    a1 ) ) ) ] )
% 0.68/1.07  , clause( 75, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1
% 0.68/1.07     ), a1 ) ) ) ] )
% 0.68/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 78, [ =( divide( identity, Y ), inverse( Y ) ) ] )
% 0.68/1.07  , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.68/1.07  , 0, clause( 2, [ =( divide( divide( Y, Y ), X ), inverse( X ) ) ] )
% 0.68/1.07  , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ), 
% 0.68/1.07    :=( Y, X )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  subsumption(
% 0.68/1.07  clause( 5, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.68/1.07  , clause( 78, [ =( divide( identity, Y ), inverse( Y ) ) ] )
% 0.68/1.07  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.07     )] ) ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 80, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.68/1.07  , clause( 5, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, X )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 82, [ =( inverse( identity ), identity ) ] )
% 0.68/1.07  , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.68/1.07  , 0, clause( 80, [ =( inverse( X ), divide( identity, X ) ) ] )
% 0.68/1.07  , 0, 3, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X, 
% 0.68/1.07    identity )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  subsumption(
% 0.68/1.07  clause( 6, [ =( inverse( identity ), identity ) ] )
% 0.68/1.07  , clause( 82, [ =( inverse( identity ), identity ) ] )
% 0.68/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 84, [ =( Z, divide( divide( X, Y ), divide( divide( X, Z ), Y ) ) )
% 0.68/1.07     ] )
% 0.68/1.07  , clause( 0, [ =( divide( divide( X, Y ), divide( divide( X, Z ), Y ) ), Z
% 0.68/1.07     ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 87, [ =( X, divide( T, divide( divide( divide( Y, Z ), X ), divide( 
% 0.68/1.07    divide( Y, T ), Z ) ) ) ) ] )
% 0.68/1.07  , clause( 0, [ =( divide( divide( X, Y ), divide( divide( X, Z ), Y ) ), Z
% 0.68/1.07     ) ] )
% 0.68/1.07  , 0, clause( 84, [ =( Z, divide( divide( X, Y ), divide( divide( X, Z ), Y
% 0.68/1.07     ) ) ) ] )
% 0.68/1.07  , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ), 
% 0.68/1.07    substitution( 1, [ :=( X, divide( Y, Z ) ), :=( Y, divide( divide( Y, T )
% 0.68/1.07    , Z ) ), :=( Z, X )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 90, [ =( divide( Y, divide( divide( divide( Z, T ), X ), divide( 
% 0.68/1.07    divide( Z, Y ), T ) ) ), X ) ] )
% 0.68/1.07  , clause( 87, [ =( X, divide( T, divide( divide( divide( Y, Z ), X ), 
% 0.68/1.07    divide( divide( Y, T ), Z ) ) ) ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.68/1.07    ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  subsumption(
% 0.68/1.07  clause( 7, [ =( divide( Z, divide( divide( divide( X, Y ), T ), divide( 
% 0.68/1.07    divide( X, Z ), Y ) ) ), T ) ] )
% 0.68/1.07  , clause( 90, [ =( divide( Y, divide( divide( divide( Z, T ), X ), divide( 
% 0.68/1.07    divide( Z, Y ), T ) ) ), X ) ] )
% 0.68/1.07  , substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] ), 
% 0.68/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 93, [ =( Z, divide( divide( X, Y ), divide( divide( X, Z ), Y ) ) )
% 0.68/1.07     ] )
% 0.68/1.07  , clause( 0, [ =( divide( divide( X, Y ), divide( divide( X, Z ), Y ) ), Z
% 0.68/1.07     ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 97, [ =( X, divide( divide( Y, divide( divide( Y, Z ), X ) ), Z ) )
% 0.68/1.07     ] )
% 0.68/1.07  , clause( 0, [ =( divide( divide( X, Y ), divide( divide( X, Z ), Y ) ), Z
% 0.68/1.07     ) ] )
% 0.68/1.07  , 0, clause( 93, [ =( Z, divide( divide( X, Y ), divide( divide( X, Z ), Y
% 0.68/1.07     ) ) ) ] )
% 0.68/1.07  , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ), 
% 0.68/1.07    substitution( 1, [ :=( X, Y ), :=( Y, divide( divide( Y, Z ), X ) ), :=( 
% 0.68/1.07    Z, X )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 100, [ =( divide( divide( Y, divide( divide( Y, Z ), X ) ), Z ), X
% 0.68/1.07     ) ] )
% 0.68/1.07  , clause( 97, [ =( X, divide( divide( Y, divide( divide( Y, Z ), X ) ), Z )
% 0.68/1.07     ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  subsumption(
% 0.68/1.07  clause( 8, [ =( divide( divide( X, divide( divide( X, Z ), Y ) ), Z ), Y )
% 0.68/1.07     ] )
% 0.68/1.07  , clause( 100, [ =( divide( divide( Y, divide( divide( Y, Z ), X ) ), Z ), 
% 0.68/1.07    X ) ] )
% 0.68/1.07  , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ), 
% 0.68/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 103, [ =( Z, divide( divide( X, Y ), divide( divide( X, Z ), Y ) )
% 0.68/1.07     ) ] )
% 0.68/1.07  , clause( 0, [ =( divide( divide( X, Y ), divide( divide( X, Z ), Y ) ), Z
% 0.68/1.07     ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 107, [ =( X, divide( divide( X, Y ), divide( identity, Y ) ) ) ] )
% 0.68/1.07  , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.68/1.07  , 0, clause( 103, [ =( Z, divide( divide( X, Y ), divide( divide( X, Z ), Y
% 0.68/1.07     ) ) ) ] )
% 0.68/1.07  , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), 
% 0.68/1.07    :=( Y, Y ), :=( Z, X )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 108, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.68/1.07  , clause( 5, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.68/1.07  , 0, clause( 107, [ =( X, divide( divide( X, Y ), divide( identity, Y ) ) )
% 0.68/1.07     ] )
% 0.68/1.07  , 0, 6, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ), 
% 0.68/1.07    :=( Y, Y )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 109, [ =( divide( divide( X, Y ), inverse( Y ) ), X ) ] )
% 0.68/1.07  , clause( 108, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  subsumption(
% 0.68/1.07  clause( 13, [ =( divide( divide( X, Y ), inverse( Y ) ), X ) ] )
% 0.68/1.07  , clause( 109, [ =( divide( divide( X, Y ), inverse( Y ) ), X ) ] )
% 0.68/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.07     )] ) ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 111, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.68/1.07  , clause( 13, [ =( divide( divide( X, Y ), inverse( Y ) ), X ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 112, [ =( X, divide( divide( X, identity ), identity ) ) ] )
% 0.68/1.07  , clause( 6, [ =( inverse( identity ), identity ) ] )
% 0.68/1.07  , 0, clause( 111, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.68/1.07  , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, 
% 0.68/1.07    identity )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 113, [ =( divide( divide( X, identity ), identity ), X ) ] )
% 0.68/1.07  , clause( 112, [ =( X, divide( divide( X, identity ), identity ) ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, X )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  subsumption(
% 0.68/1.07  clause( 18, [ =( divide( divide( X, identity ), identity ), X ) ] )
% 0.68/1.07  , clause( 113, [ =( divide( divide( X, identity ), identity ), X ) ] )
% 0.68/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 115, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.68/1.07  , clause( 13, [ =( divide( divide( X, Y ), inverse( Y ) ), X ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 117, [ =( X, divide( identity, inverse( X ) ) ) ] )
% 0.68/1.07  , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.68/1.07  , 0, clause( 115, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.68/1.07  , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), 
% 0.68/1.07    :=( Y, X )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 118, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.68/1.07  , clause( 5, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.68/1.07  , 0, clause( 117, [ =( X, divide( identity, inverse( X ) ) ) ] )
% 0.68/1.07  , 0, 2, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [ 
% 0.68/1.07    :=( X, X )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 119, [ =( inverse( inverse( X ) ), X ) ] )
% 0.68/1.07  , clause( 118, [ =( X, inverse( inverse( X ) ) ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, X )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  subsumption(
% 0.68/1.07  clause( 19, [ =( inverse( inverse( X ) ), X ) ] )
% 0.68/1.07  , clause( 119, [ =( inverse( inverse( X ) ), X ) ] )
% 0.68/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 121, [ =( Z, divide( divide( X, Y ), divide( divide( X, Z ), Y ) )
% 0.68/1.07     ) ] )
% 0.68/1.07  , clause( 0, [ =( divide( divide( X, Y ), divide( divide( X, Z ), Y ) ), Z
% 0.68/1.07     ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 123, [ =( identity, divide( divide( X, identity ), X ) ) ] )
% 0.68/1.07  , clause( 18, [ =( divide( divide( X, identity ), identity ), X ) ] )
% 0.68/1.07  , 0, clause( 121, [ =( Z, divide( divide( X, Y ), divide( divide( X, Z ), Y
% 0.68/1.07     ) ) ) ] )
% 0.68/1.07  , 0, 6, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), 
% 0.68/1.07    :=( Y, identity ), :=( Z, identity )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 126, [ =( divide( divide( X, identity ), X ), identity ) ] )
% 0.68/1.07  , clause( 123, [ =( identity, divide( divide( X, identity ), X ) ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, X )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  subsumption(
% 0.68/1.07  clause( 22, [ =( divide( divide( X, identity ), X ), identity ) ] )
% 0.68/1.07  , clause( 126, [ =( divide( divide( X, identity ), X ), identity ) ] )
% 0.68/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 129, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.68/1.07  , clause( 13, [ =( divide( divide( X, Y ), inverse( Y ) ), X ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 134, [ =( divide( X, identity ), divide( identity, inverse( X ) ) )
% 0.68/1.07     ] )
% 0.68/1.07  , clause( 22, [ =( divide( divide( X, identity ), X ), identity ) ] )
% 0.68/1.07  , 0, clause( 129, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.68/1.07  , 0, 5, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, divide( 
% 0.68/1.07    X, identity ) ), :=( Y, X )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 135, [ =( divide( X, identity ), inverse( inverse( X ) ) ) ] )
% 0.68/1.07  , clause( 5, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.68/1.07  , 0, clause( 134, [ =( divide( X, identity ), divide( identity, inverse( X
% 0.68/1.07     ) ) ) ] )
% 0.68/1.07  , 0, 4, substitution( 0, [ :=( X, inverse( X ) )] ), substitution( 1, [ 
% 0.68/1.07    :=( X, X )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 136, [ =( divide( X, identity ), X ) ] )
% 0.68/1.07  , clause( 19, [ =( inverse( inverse( X ) ), X ) ] )
% 0.68/1.07  , 0, clause( 135, [ =( divide( X, identity ), inverse( inverse( X ) ) ) ]
% 0.68/1.07     )
% 0.68/1.07  , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.68/1.07    ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  subsumption(
% 0.68/1.07  clause( 24, [ =( divide( X, identity ), X ) ] )
% 0.68/1.07  , clause( 136, [ =( divide( X, identity ), X ) ] )
% 0.68/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 141, [ =( divide( X, divide( identity, Z ) ), multiply( X, Z ) ) ]
% 0.68/1.07     )
% 0.68/1.07  , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.68/1.07  , 0, clause( 1, [ =( divide( X, divide( divide( Z, Z ), Y ) ), multiply( X
% 0.68/1.07    , Y ) ) ] )
% 0.68/1.07  , 0, 4, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ), 
% 0.68/1.07    :=( Y, Z ), :=( Z, Y )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 142, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.68/1.07  , clause( 5, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.68/1.07  , 0, clause( 141, [ =( divide( X, divide( identity, Z ) ), multiply( X, Z )
% 0.68/1.07     ) ] )
% 0.68/1.07  , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ), 
% 0.68/1.07    :=( Y, Z ), :=( Z, Y )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  subsumption(
% 0.68/1.07  clause( 25, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.68/1.07  , clause( 142, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.68/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.07     )] ) ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 145, [ =( Z, divide( divide( X, Y ), divide( divide( X, Z ), Y ) )
% 0.68/1.07     ) ] )
% 0.68/1.07  , clause( 0, [ =( divide( divide( X, Y ), divide( divide( X, Z ), Y ) ), Z
% 0.68/1.07     ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 148, [ =( X, divide( divide( Y, identity ), divide( Y, X ) ) ) ] )
% 0.68/1.07  , clause( 24, [ =( divide( X, identity ), X ) ] )
% 0.68/1.07  , 0, clause( 145, [ =( Z, divide( divide( X, Y ), divide( divide( X, Z ), Y
% 0.68/1.07     ) ) ) ] )
% 0.68/1.07  , 0, 6, substitution( 0, [ :=( X, divide( Y, X ) )] ), substitution( 1, [ 
% 0.68/1.07    :=( X, Y ), :=( Y, identity ), :=( Z, X )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 151, [ =( X, divide( Y, divide( Y, X ) ) ) ] )
% 0.68/1.07  , clause( 24, [ =( divide( X, identity ), X ) ] )
% 0.68/1.07  , 0, clause( 148, [ =( X, divide( divide( Y, identity ), divide( Y, X ) ) )
% 0.68/1.07     ] )
% 0.68/1.07  , 0, 3, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ), 
% 0.68/1.07    :=( Y, Y )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 152, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 0.68/1.07  , clause( 151, [ =( X, divide( Y, divide( Y, X ) ) ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  subsumption(
% 0.68/1.07  clause( 27, [ =( divide( X, divide( X, Y ) ), Y ) ] )
% 0.68/1.07  , clause( 152, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 0.68/1.07  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.07     )] ) ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 154, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.68/1.07  , clause( 13, [ =( divide( divide( X, Y ), inverse( Y ) ), X ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 157, [ =( X, divide( Y, inverse( divide( X, Y ) ) ) ) ] )
% 0.68/1.07  , clause( 27, [ =( divide( X, divide( X, Y ) ), Y ) ] )
% 0.68/1.07  , 0, clause( 154, [ =( X, divide( divide( X, Y ), inverse( Y ) ) ) ] )
% 0.68/1.07  , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 0.68/1.07    :=( X, X ), :=( Y, divide( X, Y ) )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 158, [ =( X, multiply( Y, divide( X, Y ) ) ) ] )
% 0.68/1.07  , clause( 25, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.68/1.07  , 0, clause( 157, [ =( X, divide( Y, inverse( divide( X, Y ) ) ) ) ] )
% 0.68/1.07  , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, divide( X, Y ) )] ), 
% 0.68/1.07    substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 159, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.68/1.07  , clause( 158, [ =( X, multiply( Y, divide( X, Y ) ) ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  subsumption(
% 0.68/1.07  clause( 28, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.68/1.07  , clause( 159, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.68/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.07     )] ) ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 161, [ =( Y, divide( X, divide( X, Y ) ) ) ] )
% 0.68/1.07  , clause( 27, [ =( divide( X, divide( X, Y ) ), Y ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 173, [ =( divide( divide( divide( X, Y ), Z ), divide( divide( X, T
% 0.68/1.07     ), Y ) ), divide( T, Z ) ) ] )
% 0.68/1.07  , clause( 7, [ =( divide( Z, divide( divide( divide( X, Y ), T ), divide( 
% 0.68/1.07    divide( X, Z ), Y ) ) ), T ) ] )
% 0.68/1.07  , 0, clause( 161, [ =( Y, divide( X, divide( X, Y ) ) ) ] )
% 0.68/1.07  , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, T ), :=( T, Z )] )
% 0.68/1.07    , substitution( 1, [ :=( X, T ), :=( Y, divide( divide( divide( X, Y ), Z
% 0.68/1.07     ), divide( divide( X, T ), Y ) ) )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  subsumption(
% 0.68/1.07  clause( 35, [ =( divide( divide( divide( Y, Z ), T ), divide( divide( Y, X
% 0.68/1.07     ), Z ) ), divide( X, T ) ) ] )
% 0.68/1.07  , clause( 173, [ =( divide( divide( divide( X, Y ), Z ), divide( divide( X
% 0.68/1.07    , T ), Y ) ), divide( T, Z ) ) ] )
% 0.68/1.07  , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X )] ), 
% 0.68/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 177, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.68/1.07  , clause( 28, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 179, [ =( X, multiply( divide( divide( divide( Y, Z ), T ), divide( 
% 0.68/1.07    divide( Y, X ), Z ) ), T ) ) ] )
% 0.68/1.07  , clause( 7, [ =( divide( Z, divide( divide( divide( X, Y ), T ), divide( 
% 0.68/1.07    divide( X, Z ), Y ) ) ), T ) ] )
% 0.68/1.07  , 0, clause( 177, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.68/1.07  , 0, 14, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T )] )
% 0.68/1.07    , substitution( 1, [ :=( X, divide( divide( divide( Y, Z ), T ), divide( 
% 0.68/1.07    divide( Y, X ), Z ) ) ), :=( Y, X )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 180, [ =( X, multiply( divide( X, T ), T ) ) ] )
% 0.68/1.07  , clause( 35, [ =( divide( divide( divide( Y, Z ), T ), divide( divide( Y, 
% 0.68/1.07    X ), Z ) ), divide( X, T ) ) ] )
% 0.68/1.07  , 0, clause( 179, [ =( X, multiply( divide( divide( divide( Y, Z ), T ), 
% 0.68/1.07    divide( divide( Y, X ), Z ) ), T ) ) ] )
% 0.68/1.07  , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.68/1.07    , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.68/1.07    ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 181, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.68/1.07  , clause( 180, [ =( X, multiply( divide( X, T ), T ) ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.68/1.07    ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  subsumption(
% 0.68/1.07  clause( 42, [ =( multiply( divide( X, T ), T ), X ) ] )
% 0.68/1.07  , clause( 181, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.68/1.07  , substitution( 0, [ :=( X, X ), :=( Y, T )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.07     )] ) ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 183, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.68/1.07  , clause( 28, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 184, [ =( divide( X, Y ), multiply( inverse( Y ), X ) ) ] )
% 0.68/1.07  , clause( 13, [ =( divide( divide( X, Y ), inverse( Y ) ), X ) ] )
% 0.68/1.07  , 0, clause( 183, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.68/1.07  , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 0.68/1.07    :=( X, inverse( Y ) ), :=( Y, divide( X, Y ) )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 185, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 0.68/1.07  , clause( 184, [ =( divide( X, Y ), multiply( inverse( Y ), X ) ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  subsumption(
% 0.68/1.07  clause( 43, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 0.68/1.07  , clause( 185, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 0.68/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.68/1.07     )] ) ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 187, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.68/1.07  , clause( 28, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 188, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 0.68/1.07  , clause( 5, [ =( divide( identity, X ), inverse( X ) ) ] )
% 0.68/1.07  , 0, clause( 187, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.68/1.07  , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), 
% 0.68/1.07    :=( Y, identity )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 189, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.68/1.07  , clause( 188, [ =( identity, multiply( X, inverse( X ) ) ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, X )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  subsumption(
% 0.68/1.07  clause( 45, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.68/1.07  , clause( 189, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.68/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 191, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.68/1.07  , clause( 42, [ =( multiply( divide( X, T ), T ), X ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.68/1.07    ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 192, [ =( divide( X, divide( divide( X, Y ), Z ) ), multiply( Z, Y
% 0.68/1.07     ) ) ] )
% 0.68/1.07  , clause( 8, [ =( divide( divide( X, divide( divide( X, Z ), Y ) ), Z ), Y
% 0.68/1.07     ) ] )
% 0.68/1.07  , 0, clause( 191, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.68/1.07  , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ), 
% 0.68/1.07    substitution( 1, [ :=( X, divide( X, divide( divide( X, Y ), Z ) ) ), 
% 0.68/1.07    :=( Y, Y )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  subsumption(
% 0.68/1.07  clause( 49, [ =( divide( X, divide( divide( X, Y ), Z ) ), multiply( Z, Y )
% 0.68/1.07     ) ] )
% 0.68/1.07  , clause( 192, [ =( divide( X, divide( divide( X, Y ), Z ) ), multiply( Z, 
% 0.68/1.07    Y ) ) ] )
% 0.68/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.68/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 195, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.68/1.07  , clause( 28, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.68/1.07  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 197, [ =( divide( X, divide( divide( X, Y ), Z ) ), multiply( Y, Z
% 0.68/1.07     ) ) ] )
% 0.68/1.07  , clause( 8, [ =( divide( divide( X, divide( divide( X, Z ), Y ) ), Z ), Y
% 0.68/1.07     ) ] )
% 0.68/1.07  , 0, clause( 195, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.68/1.07  , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ), 
% 0.68/1.07    substitution( 1, [ :=( X, Y ), :=( Y, divide( X, divide( divide( X, Y ), 
% 0.68/1.07    Z ) ) )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 198, [ =( multiply( Z, Y ), multiply( Y, Z ) ) ] )
% 0.68/1.07  , clause( 49, [ =( divide( X, divide( divide( X, Y ), Z ) ), multiply( Z, Y
% 0.68/1.07     ) ) ] )
% 0.68/1.07  , 0, clause( 197, [ =( divide( X, divide( divide( X, Y ), Z ) ), multiply( 
% 0.68/1.07    Y, Z ) ) ] )
% 0.68/1.07  , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.68/1.07    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  subsumption(
% 0.68/1.07  clause( 50, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 0.68/1.07  , clause( 198, [ =( multiply( Z, Y ), multiply( Y, Z ) ) ] )
% 0.68/1.07  , substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, Y )] ), 
% 0.68/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqswap(
% 0.68/1.07  clause( 199, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( b1 )
% 0.68/1.07    , b1 ) ) ) ] )
% 0.68/1.07  , clause( 4, [ ~( =( multiply( inverse( b1 ), b1 ), multiply( inverse( a1 )
% 0.68/1.07    , a1 ) ) ) ] )
% 0.68/1.07  , 0, substitution( 0, [] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 204, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( b1, inverse( 
% 0.68/1.07    b1 ) ) ) ) ] )
% 0.68/1.07  , clause( 50, [ =( multiply( Y, Z ), multiply( Z, Y ) ) ] )
% 0.68/1.07  , 0, clause( 199, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( inverse( 
% 0.68/1.07    b1 ), b1 ) ) ) ] )
% 0.68/1.07  , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, inverse( b1 ) ), :=( Z, b1 )] )
% 0.68/1.07    , substitution( 1, [] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 207, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.68/1.07  , clause( 45, [ =( multiply( X, inverse( X ) ), identity ) ] )
% 0.68/1.07  , 0, clause( 204, [ ~( =( multiply( inverse( a1 ), a1 ), multiply( b1, 
% 0.68/1.07    inverse( b1 ) ) ) ) ] )
% 0.68/1.07  , 0, 6, substitution( 0, [ :=( X, b1 )] ), substitution( 1, [] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 208, [ ~( =( divide( a1, a1 ), identity ) ) ] )
% 0.68/1.07  , clause( 43, [ =( multiply( inverse( Y ), X ), divide( X, Y ) ) ] )
% 0.68/1.07  , 0, clause( 207, [ ~( =( multiply( inverse( a1 ), a1 ), identity ) ) ] )
% 0.68/1.07  , 0, 2, substitution( 0, [ :=( X, a1 ), :=( Y, a1 )] ), substitution( 1, [] )
% 0.68/1.07    ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  paramod(
% 0.68/1.07  clause( 209, [ ~( =( identity, identity ) ) ] )
% 0.68/1.07  , clause( 3, [ =( divide( X, X ), identity ) ] )
% 0.68/1.07  , 0, clause( 208, [ ~( =( divide( a1, a1 ), identity ) ) ] )
% 0.68/1.07  , 0, 2, substitution( 0, [ :=( X, a1 )] ), substitution( 1, [] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  eqrefl(
% 0.68/1.07  clause( 210, [] )
% 0.68/1.07  , clause( 209, [ ~( =( identity, identity ) ) ] )
% 0.68/1.07  , 0, substitution( 0, [] )).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  subsumption(
% 0.68/1.07  clause( 54, [] )
% 0.68/1.07  , clause( 210, [] )
% 0.68/1.07  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  end.
% 0.68/1.07  
% 0.68/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.68/1.07  
% 0.68/1.07  Memory use:
% 0.68/1.07  
% 0.68/1.07  space for terms:        640
% 0.68/1.07  space for clauses:      5714
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  clauses generated:      264
% 0.68/1.07  clauses kept:           55
% 0.68/1.07  clauses selected:       19
% 0.68/1.07  clauses deleted:        3
% 0.68/1.07  clauses inuse deleted:  0
% 0.68/1.07  
% 0.68/1.07  subsentry:          486
% 0.68/1.07  literals s-matched: 150
% 0.68/1.07  literals matched:   138
% 0.68/1.07  full subsumption:   0
% 0.68/1.07  
% 0.68/1.07  checksum:           -964620708
% 0.68/1.07  
% 0.68/1.07  
% 0.68/1.07  Bliksem ended
%------------------------------------------------------------------------------