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Bliksem---1.12.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GRP560-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n005.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 07:37:38 EDT 2022

% Result   : Unsatisfiable 0.43s 1.07s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP560-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Mon Jun 13 23:48:39 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.43/1.07  *** allocated 10000 integers for termspace/termends
% 0.43/1.07  *** allocated 10000 integers for clauses
% 0.43/1.07  *** allocated 10000 integers for justifications
% 0.43/1.07  Bliksem 1.12
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  Automatic Strategy Selection
% 0.43/1.07  
% 0.43/1.07  Clauses:
% 0.43/1.07  [
% 0.43/1.07     [ =( divide( X, inverse( divide( divide( Y, Z ), divide( X, Z ) ) ) ), Y
% 0.43/1.07     ) ],
% 0.43/1.07     [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ],
% 0.43/1.07     [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ]
% 0.43/1.07  ] .
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  percentage equality = 1.000000, percentage horn = 1.000000
% 0.43/1.07  This is a pure equality problem
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  Options Used:
% 0.43/1.07  
% 0.43/1.07  useres =            1
% 0.43/1.07  useparamod =        1
% 0.43/1.07  useeqrefl =         1
% 0.43/1.07  useeqfact =         1
% 0.43/1.07  usefactor =         1
% 0.43/1.07  usesimpsplitting =  0
% 0.43/1.07  usesimpdemod =      5
% 0.43/1.07  usesimpres =        3
% 0.43/1.07  
% 0.43/1.07  resimpinuse      =  1000
% 0.43/1.07  resimpclauses =     20000
% 0.43/1.07  substype =          eqrewr
% 0.43/1.07  backwardsubs =      1
% 0.43/1.07  selectoldest =      5
% 0.43/1.07  
% 0.43/1.07  litorderings [0] =  split
% 0.43/1.07  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.43/1.07  
% 0.43/1.07  termordering =      kbo
% 0.43/1.07  
% 0.43/1.07  litapriori =        0
% 0.43/1.07  termapriori =       1
% 0.43/1.07  litaposteriori =    0
% 0.43/1.07  termaposteriori =   0
% 0.43/1.07  demodaposteriori =  0
% 0.43/1.07  ordereqreflfact =   0
% 0.43/1.07  
% 0.43/1.07  litselect =         negord
% 0.43/1.07  
% 0.43/1.07  maxweight =         15
% 0.43/1.07  maxdepth =          30000
% 0.43/1.07  maxlength =         115
% 0.43/1.07  maxnrvars =         195
% 0.43/1.07  excuselevel =       1
% 0.43/1.07  increasemaxweight = 1
% 0.43/1.07  
% 0.43/1.07  maxselected =       10000000
% 0.43/1.07  maxnrclauses =      10000000
% 0.43/1.07  
% 0.43/1.07  showgenerated =    0
% 0.43/1.07  showkept =         0
% 0.43/1.07  showselected =     0
% 0.43/1.07  showdeleted =      0
% 0.43/1.07  showresimp =       1
% 0.43/1.07  showstatus =       2000
% 0.43/1.07  
% 0.43/1.07  prologoutput =     1
% 0.43/1.07  nrgoals =          5000000
% 0.43/1.07  totalproof =       1
% 0.43/1.07  
% 0.43/1.07  Symbols occurring in the translation:
% 0.43/1.07  
% 0.43/1.07  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.43/1.07  .  [1, 2]      (w:1, o:20, a:1, s:1, b:0), 
% 0.43/1.07  !  [4, 1]      (w:0, o:14, a:1, s:1, b:0), 
% 0.43/1.07  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/1.07  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/1.07  divide  [42, 2]      (w:1, o:45, a:1, s:1, b:0), 
% 0.43/1.07  inverse  [43, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.43/1.07  multiply  [44, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.43/1.07  a  [45, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.43/1.07  b  [46, 0]      (w:1, o:13, a:1, s:1, b:0).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  Starting Search:
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  Bliksems!, er is een bewijs:
% 0.43/1.07  % SZS status Unsatisfiable
% 0.43/1.07  % SZS output start Refutation
% 0.43/1.07  
% 0.43/1.07  clause( 0, [ =( divide( X, inverse( divide( divide( Y, Z ), divide( X, Z )
% 0.43/1.07     ) ) ), Y ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 2, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 3, [ =( multiply( X, divide( divide( Y, Z ), divide( X, Z ) ) ), Y
% 0.43/1.07     ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 4, [ =( multiply( Z, divide( multiply( X, Y ), multiply( Z, Y ) ) )
% 0.43/1.07    , X ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 5, [ =( multiply( T, divide( Y, multiply( T, divide( multiply( Y, Z
% 0.43/1.07     ), multiply( X, Z ) ) ) ) ), X ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 8, [ =( multiply( X, divide( multiply( T, divide( divide( Y, Z ), 
% 0.43/1.07    divide( X, Z ) ) ), Y ) ), T ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 9, [ =( multiply( X, divide( Y, Y ) ), X ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 10, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 17, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 19, [ =( multiply( inverse( divide( Y, X ) ), Y ), X ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 25, [ =( multiply( inverse( X ), Y ), inverse( divide( X, Y ) ) ) ]
% 0.43/1.07     )
% 0.43/1.07  .
% 0.43/1.07  clause( 26, [ =( inverse( divide( divide( X, X ), Y ) ), Y ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 36, [ =( multiply( Z, divide( divide( X, X ), Y ) ), divide( Z, Y )
% 0.43/1.07     ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 49, [ =( inverse( divide( X, divide( Y, Y ) ) ), inverse( X ) ) ]
% 0.43/1.07     )
% 0.43/1.07  .
% 0.43/1.07  clause( 59, [ =( inverse( divide( X, X ) ), divide( Y, Y ) ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 62, [ =( divide( Y, Y ), divide( Z, Z ) ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 66, [ =( multiply( divide( Y, Y ), Z ), Z ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 70, [ =( divide( Z, divide( Z, X ) ), X ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 75, [ =( divide( divide( X, X ), Y ), inverse( Y ) ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 76, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 87, [ =( divide( multiply( Y, Z ), Z ), Y ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 94, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.43/1.07  .
% 0.43/1.07  clause( 112, [] )
% 0.43/1.07  .
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  % SZS output end Refutation
% 0.43/1.07  found a proof!
% 0.43/1.07  
% 0.43/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07  
% 0.43/1.07  initialclauses(
% 0.43/1.07  [ clause( 114, [ =( divide( X, inverse( divide( divide( Y, Z ), divide( X, 
% 0.43/1.07    Z ) ) ) ), Y ) ] )
% 0.43/1.07  , clause( 115, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.43/1.07  , clause( 116, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.43/1.07  ] ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 0, [ =( divide( X, inverse( divide( divide( Y, Z ), divide( X, Z )
% 0.43/1.07     ) ) ), Y ) ] )
% 0.43/1.07  , clause( 114, [ =( divide( X, inverse( divide( divide( Y, Z ), divide( X, 
% 0.43/1.07    Z ) ) ) ), Y ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.43/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 119, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.43/1.07  , clause( 115, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.43/1.07  , clause( 119, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07     )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 2, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.43/1.07  , clause( 116, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.43/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 125, [ =( multiply( X, divide( divide( Y, Z ), divide( X, Z ) ) ), 
% 0.43/1.07    Y ) ] )
% 0.43/1.07  , clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.43/1.07  , 0, clause( 0, [ =( divide( X, inverse( divide( divide( Y, Z ), divide( X
% 0.43/1.07    , Z ) ) ) ), Y ) ] )
% 0.43/1.07  , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, divide( divide( Y, Z ), 
% 0.43/1.07    divide( X, Z ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, 
% 0.43/1.07    Z )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 3, [ =( multiply( X, divide( divide( Y, Z ), divide( X, Z ) ) ), Y
% 0.43/1.07     ) ] )
% 0.43/1.07  , clause( 125, [ =( multiply( X, divide( divide( Y, Z ), divide( X, Z ) ) )
% 0.43/1.07    , Y ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.43/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 128, [ =( Y, multiply( X, divide( divide( Y, Z ), divide( X, Z ) )
% 0.43/1.07     ) ) ] )
% 0.43/1.07  , clause( 3, [ =( multiply( X, divide( divide( Y, Z ), divide( X, Z ) ) ), 
% 0.43/1.07    Y ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 134, [ =( X, multiply( Y, divide( divide( X, inverse( Z ) ), 
% 0.43/1.07    multiply( Y, Z ) ) ) ) ] )
% 0.43/1.07  , clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.43/1.07  , 0, clause( 128, [ =( Y, multiply( X, divide( divide( Y, Z ), divide( X, Z
% 0.43/1.07     ) ) ) ) ] )
% 0.43/1.07  , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [ 
% 0.43/1.07    :=( X, Y ), :=( Y, X ), :=( Z, inverse( Z ) )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 136, [ =( X, multiply( Y, divide( multiply( X, Z ), multiply( Y, Z
% 0.43/1.07     ) ) ) ) ] )
% 0.43/1.07  , clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.43/1.07  , 0, clause( 134, [ =( X, multiply( Y, divide( divide( X, inverse( Z ) ), 
% 0.43/1.07    multiply( Y, Z ) ) ) ) ] )
% 0.43/1.07  , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [ 
% 0.43/1.07    :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 137, [ =( multiply( Y, divide( multiply( X, Z ), multiply( Y, Z ) )
% 0.43/1.07     ), X ) ] )
% 0.43/1.07  , clause( 136, [ =( X, multiply( Y, divide( multiply( X, Z ), multiply( Y, 
% 0.43/1.07    Z ) ) ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 4, [ =( multiply( Z, divide( multiply( X, Y ), multiply( Z, Y ) ) )
% 0.43/1.07    , X ) ] )
% 0.43/1.07  , clause( 137, [ =( multiply( Y, divide( multiply( X, Z ), multiply( Y, Z )
% 0.43/1.07     ) ), X ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ), 
% 0.43/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 138, [ =( Y, multiply( X, divide( multiply( Y, Z ), multiply( X, Z
% 0.43/1.07     ) ) ) ) ] )
% 0.43/1.07  , clause( 4, [ =( multiply( Z, divide( multiply( X, Y ), multiply( Z, Y ) )
% 0.43/1.07     ), X ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 141, [ =( X, multiply( Y, divide( Z, multiply( Y, divide( multiply( 
% 0.43/1.07    Z, T ), multiply( X, T ) ) ) ) ) ) ] )
% 0.43/1.07  , clause( 4, [ =( multiply( Z, divide( multiply( X, Y ), multiply( Z, Y ) )
% 0.43/1.07     ), X ) ] )
% 0.43/1.07  , 0, clause( 138, [ =( Y, multiply( X, divide( multiply( Y, Z ), multiply( 
% 0.43/1.07    X, Z ) ) ) ) ] )
% 0.43/1.07  , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X )] ), 
% 0.43/1.07    substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, divide( multiply( Z, T
% 0.43/1.07     ), multiply( X, T ) ) )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 143, [ =( multiply( Y, divide( Z, multiply( Y, divide( multiply( Z
% 0.43/1.07    , T ), multiply( X, T ) ) ) ) ), X ) ] )
% 0.43/1.07  , clause( 141, [ =( X, multiply( Y, divide( Z, multiply( Y, divide( 
% 0.43/1.07    multiply( Z, T ), multiply( X, T ) ) ) ) ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.43/1.07    ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 5, [ =( multiply( T, divide( Y, multiply( T, divide( multiply( Y, Z
% 0.43/1.07     ), multiply( X, Z ) ) ) ) ), X ) ] )
% 0.43/1.07  , clause( 143, [ =( multiply( Y, divide( Z, multiply( Y, divide( multiply( 
% 0.43/1.07    Z, T ), multiply( X, T ) ) ) ) ), X ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] ), 
% 0.43/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 146, [ =( Y, multiply( X, divide( multiply( Y, Z ), multiply( X, Z
% 0.43/1.07     ) ) ) ) ] )
% 0.43/1.07  , clause( 4, [ =( multiply( Z, divide( multiply( X, Y ), multiply( Z, Y ) )
% 0.43/1.07     ), X ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 148, [ =( X, multiply( Y, divide( multiply( X, divide( divide( Z, T
% 0.43/1.07     ), divide( Y, T ) ) ), Z ) ) ) ] )
% 0.43/1.07  , clause( 3, [ =( multiply( X, divide( divide( Y, Z ), divide( X, Z ) ) ), 
% 0.43/1.07    Y ) ] )
% 0.43/1.07  , 0, clause( 146, [ =( Y, multiply( X, divide( multiply( Y, Z ), multiply( 
% 0.43/1.07    X, Z ) ) ) ) ] )
% 0.43/1.07  , 0, 14, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ), 
% 0.43/1.07    substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, divide( divide( Z, T )
% 0.43/1.07    , divide( Y, T ) ) )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 150, [ =( multiply( Y, divide( multiply( X, divide( divide( Z, T )
% 0.43/1.07    , divide( Y, T ) ) ), Z ) ), X ) ] )
% 0.43/1.07  , clause( 148, [ =( X, multiply( Y, divide( multiply( X, divide( divide( Z
% 0.43/1.07    , T ), divide( Y, T ) ) ), Z ) ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.43/1.07    ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 8, [ =( multiply( X, divide( multiply( T, divide( divide( Y, Z ), 
% 0.43/1.07    divide( X, Z ) ) ), Y ) ), T ) ] )
% 0.43/1.07  , clause( 150, [ =( multiply( Y, divide( multiply( X, divide( divide( Z, T
% 0.43/1.07     ), divide( Y, T ) ) ), Z ) ), X ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ), 
% 0.43/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 152, [ =( T, multiply( X, divide( Y, multiply( X, divide( multiply( 
% 0.43/1.07    Y, Z ), multiply( T, Z ) ) ) ) ) ) ] )
% 0.43/1.07  , clause( 5, [ =( multiply( T, divide( Y, multiply( T, divide( multiply( Y
% 0.43/1.07    , Z ), multiply( X, Z ) ) ) ) ), X ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 0.43/1.07    ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 157, [ =( X, multiply( X, divide( Y, Y ) ) ) ] )
% 0.43/1.07  , clause( 4, [ =( multiply( Z, divide( multiply( X, Y ), multiply( Z, Y ) )
% 0.43/1.07     ), X ) ] )
% 0.43/1.07  , 0, clause( 152, [ =( T, multiply( X, divide( Y, multiply( X, divide( 
% 0.43/1.07    multiply( Y, Z ), multiply( T, Z ) ) ) ) ) ) ] )
% 0.43/1.07  , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ), 
% 0.43/1.07    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 160, [ =( multiply( X, divide( Y, Y ) ), X ) ] )
% 0.43/1.07  , clause( 157, [ =( X, multiply( X, divide( Y, Y ) ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 9, [ =( multiply( X, divide( Y, Y ) ), X ) ] )
% 0.43/1.07  , clause( 160, [ =( multiply( X, divide( Y, Y ) ), X ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07     )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 164, [ =( T, multiply( X, divide( Y, multiply( X, divide( multiply( 
% 0.43/1.07    Y, Z ), multiply( T, Z ) ) ) ) ) ) ] )
% 0.43/1.07  , clause( 5, [ =( multiply( T, divide( Y, multiply( T, divide( multiply( Y
% 0.43/1.07    , Z ), multiply( X, Z ) ) ) ) ), X ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 0.43/1.07    ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 165, [ =( X, multiply( Y, divide( X, Y ) ) ) ] )
% 0.43/1.07  , clause( 9, [ =( multiply( X, divide( Y, Y ) ), X ) ] )
% 0.43/1.07  , 0, clause( 164, [ =( T, multiply( X, divide( Y, multiply( X, divide( 
% 0.43/1.07    multiply( Y, Z ), multiply( T, Z ) ) ) ) ) ) ] )
% 0.43/1.07  , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, multiply( X, Z ) )] ), 
% 0.43/1.07    substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, X )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 169, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.43/1.07  , clause( 165, [ =( X, multiply( Y, divide( X, Y ) ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 10, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.43/1.07  , clause( 169, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07     )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 174, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.43/1.07  , clause( 10, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 177, [ =( X, multiply( inverse( Y ), multiply( X, Y ) ) ) ] )
% 0.43/1.07  , clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.43/1.07  , 0, clause( 174, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.43/1.07  , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 0.43/1.07    :=( X, inverse( Y ) ), :=( Y, X )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 178, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.43/1.07  , clause( 177, [ =( X, multiply( inverse( Y ), multiply( X, Y ) ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 17, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.43/1.07  , clause( 178, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07     )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 180, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.43/1.07  , clause( 17, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 181, [ =( X, multiply( inverse( divide( Y, X ) ), Y ) ) ] )
% 0.43/1.07  , clause( 10, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.43/1.07  , 0, clause( 180, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.43/1.07  , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 0.43/1.07    :=( X, divide( Y, X ) ), :=( Y, X )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 182, [ =( multiply( inverse( divide( Y, X ) ), Y ), X ) ] )
% 0.43/1.07  , clause( 181, [ =( X, multiply( inverse( divide( Y, X ) ), Y ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 19, [ =( multiply( inverse( divide( Y, X ) ), Y ), X ) ] )
% 0.43/1.07  , clause( 182, [ =( multiply( inverse( divide( Y, X ) ), Y ), X ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07     )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 184, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.43/1.07  , clause( 17, [ =( multiply( inverse( Y ), multiply( X, Y ) ), X ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 185, [ =( inverse( divide( X, Y ) ), multiply( inverse( X ), Y ) )
% 0.43/1.07     ] )
% 0.43/1.07  , clause( 19, [ =( multiply( inverse( divide( Y, X ) ), Y ), X ) ] )
% 0.43/1.07  , 0, clause( 184, [ =( Y, multiply( inverse( X ), multiply( Y, X ) ) ) ] )
% 0.43/1.07  , 0, 8, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ 
% 0.43/1.07    :=( X, X ), :=( Y, inverse( divide( X, Y ) ) )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 186, [ =( multiply( inverse( X ), Y ), inverse( divide( X, Y ) ) )
% 0.43/1.07     ] )
% 0.43/1.07  , clause( 185, [ =( inverse( divide( X, Y ) ), multiply( inverse( X ), Y )
% 0.43/1.07     ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 25, [ =( multiply( inverse( X ), Y ), inverse( divide( X, Y ) ) ) ]
% 0.43/1.07     )
% 0.43/1.07  , clause( 186, [ =( multiply( inverse( X ), Y ), inverse( divide( X, Y ) )
% 0.43/1.07     ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07     )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 187, [ =( Y, multiply( inverse( divide( X, Y ) ), X ) ) ] )
% 0.43/1.07  , clause( 19, [ =( multiply( inverse( divide( Y, X ) ), Y ), X ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 189, [ =( X, inverse( divide( divide( Y, Y ), X ) ) ) ] )
% 0.43/1.07  , clause( 9, [ =( multiply( X, divide( Y, Y ) ), X ) ] )
% 0.43/1.07  , 0, clause( 187, [ =( Y, multiply( inverse( divide( X, Y ) ), X ) ) ] )
% 0.43/1.07  , 0, 2, substitution( 0, [ :=( X, inverse( divide( divide( Y, Y ), X ) ) )
% 0.43/1.07    , :=( Y, Y )] ), substitution( 1, [ :=( X, divide( Y, Y ) ), :=( Y, X )] )
% 0.43/1.07    ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 190, [ =( inverse( divide( divide( Y, Y ), X ) ), X ) ] )
% 0.43/1.07  , clause( 189, [ =( X, inverse( divide( divide( Y, Y ), X ) ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 26, [ =( inverse( divide( divide( X, X ), Y ) ), Y ) ] )
% 0.43/1.07  , clause( 190, [ =( inverse( divide( divide( Y, Y ), X ) ), X ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07     )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 192, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.43/1.07  , clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 197, [ =( multiply( X, divide( divide( Y, Y ), Z ) ), divide( X, Z
% 0.43/1.07     ) ) ] )
% 0.43/1.07  , clause( 26, [ =( inverse( divide( divide( X, X ), Y ) ), Y ) ] )
% 0.43/1.07  , 0, clause( 192, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.43/1.07  , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [ 
% 0.43/1.07    :=( X, X ), :=( Y, divide( divide( Y, Y ), Z ) )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 36, [ =( multiply( Z, divide( divide( X, X ), Y ) ), divide( Z, Y )
% 0.43/1.07     ) ] )
% 0.43/1.07  , clause( 197, [ =( multiply( X, divide( divide( Y, Y ), Z ) ), divide( X, 
% 0.43/1.07    Z ) ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ), 
% 0.43/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 199, [ =( inverse( divide( X, Y ) ), multiply( inverse( X ), Y ) )
% 0.43/1.07     ] )
% 0.43/1.07  , clause( 25, [ =( multiply( inverse( X ), Y ), inverse( divide( X, Y ) ) )
% 0.43/1.07     ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 201, [ =( inverse( divide( X, divide( Y, Y ) ) ), inverse( X ) ) ]
% 0.43/1.07     )
% 0.43/1.07  , clause( 9, [ =( multiply( X, divide( Y, Y ) ), X ) ] )
% 0.43/1.07  , 0, clause( 199, [ =( inverse( divide( X, Y ) ), multiply( inverse( X ), Y
% 0.43/1.07     ) ) ] )
% 0.43/1.07  , 0, 7, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, Y )] ), 
% 0.43/1.07    substitution( 1, [ :=( X, X ), :=( Y, divide( Y, Y ) )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 49, [ =( inverse( divide( X, divide( Y, Y ) ) ), inverse( X ) ) ]
% 0.43/1.07     )
% 0.43/1.07  , clause( 201, [ =( inverse( divide( X, divide( Y, Y ) ) ), inverse( X ) )
% 0.43/1.07     ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07     )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 203, [ =( inverse( X ), inverse( divide( X, divide( Y, Y ) ) ) ) ]
% 0.43/1.07     )
% 0.43/1.07  , clause( 49, [ =( inverse( divide( X, divide( Y, Y ) ) ), inverse( X ) ) ]
% 0.43/1.07     )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 206, [ =( inverse( divide( X, X ) ), divide( Y, Y ) ) ] )
% 0.43/1.07  , clause( 26, [ =( inverse( divide( divide( X, X ), Y ) ), Y ) ] )
% 0.43/1.07  , 0, clause( 203, [ =( inverse( X ), inverse( divide( X, divide( Y, Y ) ) )
% 0.43/1.07     ) ] )
% 0.43/1.07  , 0, 5, substitution( 0, [ :=( X, X ), :=( Y, divide( Y, Y ) )] ), 
% 0.43/1.07    substitution( 1, [ :=( X, divide( X, X ) ), :=( Y, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 59, [ =( inverse( divide( X, X ) ), divide( Y, Y ) ) ] )
% 0.43/1.07  , clause( 206, [ =( inverse( divide( X, X ) ), divide( Y, Y ) ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07     )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 209, [ =( divide( Y, Y ), inverse( divide( X, X ) ) ) ] )
% 0.43/1.07  , clause( 59, [ =( inverse( divide( X, X ) ), divide( Y, Y ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 337, [ =( divide( X, X ), divide( Z, Z ) ) ] )
% 0.43/1.07  , clause( 59, [ =( inverse( divide( X, X ) ), divide( Y, Y ) ) ] )
% 0.43/1.07  , 0, clause( 209, [ =( divide( Y, Y ), inverse( divide( X, X ) ) ) ] )
% 0.43/1.07  , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [ 
% 0.43/1.07    :=( X, Y ), :=( Y, X )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 62, [ =( divide( Y, Y ), divide( Z, Z ) ) ] )
% 0.43/1.07  , clause( 337, [ =( divide( X, X ), divide( Z, Z ) ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, Z )] ), 
% 0.43/1.07    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 339, [ =( inverse( divide( X, Y ) ), multiply( inverse( X ), Y ) )
% 0.43/1.07     ] )
% 0.43/1.07  , clause( 25, [ =( multiply( inverse( X ), Y ), inverse( divide( X, Y ) ) )
% 0.43/1.07     ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 364, [ =( inverse( divide( divide( X, X ), Y ) ), multiply( divide( 
% 0.43/1.07    Z, Z ), Y ) ) ] )
% 0.43/1.07  , clause( 59, [ =( inverse( divide( X, X ) ), divide( Y, Y ) ) ] )
% 0.43/1.07  , 0, clause( 339, [ =( inverse( divide( X, Y ) ), multiply( inverse( X ), Y
% 0.43/1.07     ) ) ] )
% 0.43/1.07  , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [ 
% 0.43/1.07    :=( X, divide( X, X ) ), :=( Y, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 365, [ =( Y, multiply( divide( Z, Z ), Y ) ) ] )
% 0.43/1.07  , clause( 26, [ =( inverse( divide( divide( X, X ), Y ) ), Y ) ] )
% 0.43/1.07  , 0, clause( 364, [ =( inverse( divide( divide( X, X ), Y ) ), multiply( 
% 0.43/1.07    divide( Z, Z ), Y ) ) ] )
% 0.43/1.07  , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 0.43/1.07    :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 366, [ =( multiply( divide( Y, Y ), X ), X ) ] )
% 0.43/1.07  , clause( 365, [ =( Y, multiply( divide( Z, Z ), Y ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 66, [ =( multiply( divide( Y, Y ), Z ), Z ) ] )
% 0.43/1.07  , clause( 366, [ =( multiply( divide( Y, Y ), X ), X ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07     )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 367, [ =( Y, multiply( X, divide( divide( Y, Z ), divide( X, Z ) )
% 0.43/1.07     ) ) ] )
% 0.43/1.07  , clause( 3, [ =( multiply( X, divide( divide( Y, Z ), divide( X, Z ) ) ), 
% 0.43/1.07    Y ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 370, [ =( X, multiply( Y, divide( divide( Z, Z ), divide( Y, X ) )
% 0.43/1.07     ) ) ] )
% 0.43/1.07  , clause( 62, [ =( divide( Y, Y ), divide( Z, Z ) ) ] )
% 0.43/1.07  , 0, clause( 367, [ =( Y, multiply( X, divide( divide( Y, Z ), divide( X, Z
% 0.43/1.07     ) ) ) ) ] )
% 0.43/1.07  , 0, 5, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Z )] ), 
% 0.43/1.07    substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 372, [ =( X, divide( Y, divide( Y, X ) ) ) ] )
% 0.43/1.07  , clause( 36, [ =( multiply( Z, divide( divide( X, X ), Y ) ), divide( Z, Y
% 0.43/1.07     ) ) ] )
% 0.43/1.07  , 0, clause( 370, [ =( X, multiply( Y, divide( divide( Z, Z ), divide( Y, X
% 0.43/1.07     ) ) ) ) ] )
% 0.43/1.07  , 0, 2, substitution( 0, [ :=( X, Z ), :=( Y, divide( Y, X ) ), :=( Z, Y )] )
% 0.43/1.07    , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 373, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 0.43/1.07  , clause( 372, [ =( X, divide( Y, divide( Y, X ) ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 70, [ =( divide( Z, divide( Z, X ) ), X ) ] )
% 0.43/1.07  , clause( 373, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07     )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 375, [ =( Y, inverse( divide( divide( X, X ), Y ) ) ) ] )
% 0.43/1.07  , clause( 26, [ =( inverse( divide( divide( X, X ), Y ) ), Y ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 376, [ =( divide( divide( X, X ), Y ), inverse( Y ) ) ] )
% 0.43/1.07  , clause( 70, [ =( divide( Z, divide( Z, X ) ), X ) ] )
% 0.43/1.07  , 0, clause( 375, [ =( Y, inverse( divide( divide( X, X ), Y ) ) ) ] )
% 0.43/1.07  , 0, 7, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, divide( X, X ) )] )
% 0.43/1.07    , substitution( 1, [ :=( X, X ), :=( Y, divide( divide( X, X ), Y ) )] )
% 0.43/1.07    ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 75, [ =( divide( divide( X, X ), Y ), inverse( Y ) ) ] )
% 0.43/1.07  , clause( 376, [ =( divide( divide( X, X ), Y ), inverse( Y ) ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07     )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 379, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.43/1.07  , clause( 10, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 380, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.43/1.07  , clause( 70, [ =( divide( Z, divide( Z, X ) ), X ) ] )
% 0.43/1.07  , 0, clause( 379, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.43/1.07  , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ), 
% 0.43/1.07    substitution( 1, [ :=( X, divide( X, Y ) ), :=( Y, X )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 381, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.43/1.07  , clause( 380, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 76, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.43/1.07  , clause( 381, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07     )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 382, [ =( Y, multiply( divide( X, X ), Y ) ) ] )
% 0.43/1.07  , clause( 66, [ =( multiply( divide( Y, Y ), Z ), Z ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 387, [ =( divide( multiply( X, divide( divide( Y, Z ), divide( 
% 0.43/1.07    divide( T, T ), Z ) ) ), Y ), X ) ] )
% 0.43/1.07  , clause( 8, [ =( multiply( X, divide( multiply( T, divide( divide( Y, Z )
% 0.43/1.07    , divide( X, Z ) ) ), Y ) ), T ) ] )
% 0.43/1.07  , 0, clause( 382, [ =( Y, multiply( divide( X, X ), Y ) ) ] )
% 0.43/1.07  , 0, 14, substitution( 0, [ :=( X, divide( T, T ) ), :=( Y, Y ), :=( Z, Z )
% 0.43/1.07    , :=( T, X )] ), substitution( 1, [ :=( X, T ), :=( Y, divide( multiply( 
% 0.43/1.07    X, divide( divide( Y, Z ), divide( divide( T, T ), Z ) ) ), Y ) )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 388, [ =( divide( multiply( X, divide( divide( Y, Z ), inverse( Z )
% 0.43/1.07     ) ), Y ), X ) ] )
% 0.43/1.07  , clause( 75, [ =( divide( divide( X, X ), Y ), inverse( Y ) ) ] )
% 0.43/1.07  , 0, clause( 387, [ =( divide( multiply( X, divide( divide( Y, Z ), divide( 
% 0.43/1.07    divide( T, T ), Z ) ) ), Y ), X ) ] )
% 0.43/1.07  , 0, 8, substitution( 0, [ :=( X, T ), :=( Y, Z )] ), substitution( 1, [ 
% 0.43/1.07    :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 389, [ =( divide( multiply( X, multiply( divide( Y, Z ), Z ) ), Y )
% 0.43/1.07    , X ) ] )
% 0.43/1.07  , clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.43/1.07  , 0, clause( 388, [ =( divide( multiply( X, divide( divide( Y, Z ), inverse( 
% 0.43/1.07    Z ) ) ), Y ), X ) ] )
% 0.43/1.07  , 0, 4, substitution( 0, [ :=( X, divide( Y, Z ) ), :=( Y, Z )] ), 
% 0.43/1.07    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 390, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.43/1.07  , clause( 76, [ =( multiply( divide( X, Y ), Y ), X ) ] )
% 0.43/1.07  , 0, clause( 389, [ =( divide( multiply( X, multiply( divide( Y, Z ), Z ) )
% 0.43/1.07    , Y ), X ) ] )
% 0.43/1.07  , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [ 
% 0.43/1.07    :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 87, [ =( divide( multiply( Y, Z ), Z ), Y ) ] )
% 0.43/1.07  , clause( 390, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07     )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 393, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.43/1.07  , clause( 10, [ =( multiply( X, divide( Y, X ) ), Y ) ] )
% 0.43/1.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 396, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.43/1.07  , clause( 87, [ =( divide( multiply( Y, Z ), Z ), Y ) ] )
% 0.43/1.07  , 0, clause( 393, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.43/1.07  , 0, 6, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ), 
% 0.43/1.07    substitution( 1, [ :=( X, Y ), :=( Y, multiply( X, Y ) )] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 94, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.43/1.07  , clause( 396, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.43/1.07  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.07     )] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqswap(
% 0.43/1.07  clause( 397, [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ] )
% 0.43/1.07  , clause( 2, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  paramod(
% 0.43/1.07  clause( 399, [ ~( =( multiply( b, a ), multiply( b, a ) ) ) ] )
% 0.43/1.07  , clause( 94, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.43/1.07  , 0, clause( 397, [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ] )
% 0.43/1.07  , 0, 5, substitution( 0, [ :=( X, b ), :=( Y, a )] ), substitution( 1, [] )
% 0.43/1.07    ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  eqrefl(
% 0.43/1.07  clause( 402, [] )
% 0.43/1.07  , clause( 399, [ ~( =( multiply( b, a ), multiply( b, a ) ) ) ] )
% 0.43/1.07  , 0, substitution( 0, [] )).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  subsumption(
% 0.43/1.07  clause( 112, [] )
% 0.43/1.07  , clause( 402, [] )
% 0.43/1.07  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  end.
% 0.43/1.07  
% 0.43/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.07  
% 0.43/1.07  Memory use:
% 0.43/1.07  
% 0.43/1.07  space for terms:        1331
% 0.43/1.07  space for clauses:      12777
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  clauses generated:      503
% 0.43/1.07  clauses kept:           113
% 0.43/1.07  clauses selected:       24
% 0.43/1.07  clauses deleted:        5
% 0.43/1.07  clauses inuse deleted:  0
% 0.43/1.07  
% 0.43/1.07  subsentry:          3995
% 0.43/1.07  literals s-matched: 246
% 0.43/1.07  literals matched:   227
% 0.43/1.07  full subsumption:   0
% 0.43/1.07  
% 0.43/1.07  checksum:           1367819706
% 0.43/1.07  
% 0.43/1.07  
% 0.43/1.07  Bliksem ended
%------------------------------------------------------------------------------