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Bliksem---1.12.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GRP556-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n014.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 07:37:36 EDT 2022

% Result   : Unsatisfiable 0.69s 1.09s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP556-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.11/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n014.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 12:13:36 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.69/1.08  *** allocated 10000 integers for termspace/termends
% 0.69/1.08  *** allocated 10000 integers for clauses
% 0.69/1.08  *** allocated 10000 integers for justifications
% 0.69/1.08  Bliksem 1.12
% 0.69/1.08  
% 0.69/1.08  
% 0.69/1.08  Automatic Strategy Selection
% 0.69/1.08  
% 0.69/1.08  Clauses:
% 0.69/1.08  [
% 0.69/1.08     [ =( divide( divide( X, inverse( divide( Y, divide( X, Z ) ) ) ), Z ), Y
% 0.69/1.08     ) ],
% 0.69/1.08     [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ],
% 0.69/1.08     [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ]
% 0.69/1.08  ] .
% 0.69/1.08  
% 0.69/1.08  
% 0.69/1.08  percentage equality = 1.000000, percentage horn = 1.000000
% 0.69/1.08  This is a pure equality problem
% 0.69/1.08  
% 0.69/1.08  
% 0.69/1.08  
% 0.69/1.08  Options Used:
% 0.69/1.08  
% 0.69/1.08  useres =            1
% 0.69/1.08  useparamod =        1
% 0.69/1.08  useeqrefl =         1
% 0.69/1.08  useeqfact =         1
% 0.69/1.08  usefactor =         1
% 0.69/1.08  usesimpsplitting =  0
% 0.69/1.08  usesimpdemod =      5
% 0.69/1.08  usesimpres =        3
% 0.69/1.08  
% 0.69/1.08  resimpinuse      =  1000
% 0.69/1.08  resimpclauses =     20000
% 0.69/1.08  substype =          eqrewr
% 0.69/1.08  backwardsubs =      1
% 0.69/1.08  selectoldest =      5
% 0.69/1.08  
% 0.69/1.08  litorderings [0] =  split
% 0.69/1.08  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.69/1.08  
% 0.69/1.08  termordering =      kbo
% 0.69/1.08  
% 0.69/1.08  litapriori =        0
% 0.69/1.08  termapriori =       1
% 0.69/1.08  litaposteriori =    0
% 0.69/1.08  termaposteriori =   0
% 0.69/1.08  demodaposteriori =  0
% 0.69/1.09  ordereqreflfact =   0
% 0.69/1.09  
% 0.69/1.09  litselect =         negord
% 0.69/1.09  
% 0.69/1.09  maxweight =         15
% 0.69/1.09  maxdepth =          30000
% 0.69/1.09  maxlength =         115
% 0.69/1.09  maxnrvars =         195
% 0.69/1.09  excuselevel =       1
% 0.69/1.09  increasemaxweight = 1
% 0.69/1.09  
% 0.69/1.09  maxselected =       10000000
% 0.69/1.09  maxnrclauses =      10000000
% 0.69/1.09  
% 0.69/1.09  showgenerated =    0
% 0.69/1.09  showkept =         0
% 0.69/1.09  showselected =     0
% 0.69/1.09  showdeleted =      0
% 0.69/1.09  showresimp =       1
% 0.69/1.09  showstatus =       2000
% 0.69/1.09  
% 0.69/1.09  prologoutput =     1
% 0.69/1.09  nrgoals =          5000000
% 0.69/1.09  totalproof =       1
% 0.69/1.09  
% 0.69/1.09  Symbols occurring in the translation:
% 0.69/1.09  
% 0.69/1.09  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.69/1.09  .  [1, 2]      (w:1, o:20, a:1, s:1, b:0), 
% 0.69/1.09  !  [4, 1]      (w:0, o:14, a:1, s:1, b:0), 
% 0.69/1.09  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.69/1.09  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.69/1.09  divide  [42, 2]      (w:1, o:45, a:1, s:1, b:0), 
% 0.69/1.09  inverse  [43, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.69/1.09  multiply  [44, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.69/1.09  a  [45, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.69/1.09  b  [46, 0]      (w:1, o:13, a:1, s:1, b:0).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  Starting Search:
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  Bliksems!, er is een bewijs:
% 0.69/1.09  % SZS status Unsatisfiable
% 0.69/1.09  % SZS output start Refutation
% 0.69/1.09  
% 0.69/1.09  clause( 0, [ =( divide( divide( X, inverse( divide( Y, divide( X, Z ) ) ) )
% 0.69/1.09    , Z ), Y ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 2, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 3, [ =( divide( multiply( X, divide( Y, divide( X, Z ) ) ), Z ), Y
% 0.69/1.09     ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 4, [ =( multiply( X, divide( Y, divide( X, divide( Z, T ) ) ) ), 
% 0.69/1.09    divide( multiply( Z, Y ), T ) ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 5, [ =( divide( multiply( multiply( X, divide( Y, divide( X, Z ) )
% 0.69/1.09     ), divide( T, Y ) ), Z ), T ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 9, [ =( divide( divide( multiply( Z, Y ), T ), divide( Z, T ) ), Y
% 0.69/1.09     ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 14, [ =( divide( multiply( multiply( X, Y ), Z ), multiply( X, Z )
% 0.69/1.09     ), Y ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 15, [ =( divide( Y, divide( multiply( X, Y ), multiply( X, Z ) ) )
% 0.69/1.09    , Z ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 26, [ =( divide( divide( Y, divide( X, multiply( X, Z ) ) ), Y ), Z
% 0.69/1.09     ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 31, [ =( divide( divide( X, Y ), divide( Z, multiply( Z, T ) ) ), 
% 0.69/1.09    divide( multiply( X, T ), Y ) ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 34, [ =( divide( Y, divide( X, multiply( X, divide( Z, Y ) ) ) ), Z
% 0.69/1.09     ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 36, [ =( divide( multiply( Y, Z ), multiply( Y, divide( Z, X ) ) )
% 0.69/1.09    , X ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 42, [ =( divide( multiply( Y, T ), multiply( Y, divide( Z, X ) ) )
% 0.69/1.09    , multiply( X, divide( T, Z ) ) ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 49, [ =( multiply( X, divide( Z, Z ) ), X ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 50, [ =( divide( Y, divide( X, X ) ), Y ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 51, [ =( divide( Z, Z ), divide( Y, Y ) ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 53, [ =( multiply( Z, divide( Y, Z ) ), Y ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 56, [ =( multiply( divide( X, Y ), T ), divide( multiply( X, T ), Y
% 0.69/1.09     ) ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 73, [ =( divide( X, divide( X, Y ) ), Y ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 83, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 95, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 106, [] )
% 0.69/1.09  .
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  % SZS output end Refutation
% 0.69/1.09  found a proof!
% 0.69/1.09  
% 0.69/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.09  
% 0.69/1.09  initialclauses(
% 0.69/1.09  [ clause( 108, [ =( divide( divide( X, inverse( divide( Y, divide( X, Z ) )
% 0.69/1.09     ) ), Z ), Y ) ] )
% 0.69/1.09  , clause( 109, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.69/1.09  , clause( 110, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.69/1.09  ] ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 0, [ =( divide( divide( X, inverse( divide( Y, divide( X, Z ) ) ) )
% 0.69/1.09    , Z ), Y ) ] )
% 0.69/1.09  , clause( 108, [ =( divide( divide( X, inverse( divide( Y, divide( X, Z ) )
% 0.69/1.09     ) ), Z ), Y ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.69/1.09    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 113, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.09  , clause( 109, [ =( multiply( X, Y ), divide( X, inverse( Y ) ) ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.09  , clause( 113, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09     )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 2, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.69/1.09  , clause( 110, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.69/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 119, [ =( divide( multiply( X, divide( Y, divide( X, Z ) ) ), Z ), 
% 0.69/1.09    Y ) ] )
% 0.69/1.09  , clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.09  , 0, clause( 0, [ =( divide( divide( X, inverse( divide( Y, divide( X, Z )
% 0.69/1.09     ) ) ), Z ), Y ) ] )
% 0.69/1.09  , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, divide( Y, divide( X, Z ) ) )] )
% 0.69/1.09    , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 3, [ =( divide( multiply( X, divide( Y, divide( X, Z ) ) ), Z ), Y
% 0.69/1.09     ) ] )
% 0.69/1.09  , clause( 119, [ =( divide( multiply( X, divide( Y, divide( X, Z ) ) ), Z )
% 0.69/1.09    , Y ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.69/1.09    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 121, [ =( Y, divide( multiply( X, divide( Y, divide( X, Z ) ) ), Z
% 0.69/1.09     ) ) ] )
% 0.69/1.09  , clause( 3, [ =( divide( multiply( X, divide( Y, divide( X, Z ) ) ), Z ), 
% 0.69/1.09    Y ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 124, [ =( multiply( X, divide( Y, divide( X, divide( Z, T ) ) ) ), 
% 0.69/1.09    divide( multiply( Z, Y ), T ) ) ] )
% 0.69/1.09  , clause( 3, [ =( divide( multiply( X, divide( Y, divide( X, Z ) ) ), Z ), 
% 0.69/1.09    Y ) ] )
% 0.69/1.09  , 0, clause( 121, [ =( Y, divide( multiply( X, divide( Y, divide( X, Z ) )
% 0.69/1.09     ), Z ) ) ] )
% 0.69/1.09  , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, divide( Z, T ) )] )
% 0.69/1.09    , substitution( 1, [ :=( X, Z ), :=( Y, multiply( X, divide( Y, divide( X
% 0.69/1.09    , divide( Z, T ) ) ) ) ), :=( Z, T )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 4, [ =( multiply( X, divide( Y, divide( X, divide( Z, T ) ) ) ), 
% 0.69/1.09    divide( multiply( Z, Y ), T ) ) ] )
% 0.69/1.09  , clause( 124, [ =( multiply( X, divide( Y, divide( X, divide( Z, T ) ) ) )
% 0.69/1.09    , divide( multiply( Z, Y ), T ) ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.69/1.09    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 128, [ =( Y, divide( multiply( X, divide( Y, divide( X, Z ) ) ), Z
% 0.69/1.09     ) ) ] )
% 0.69/1.09  , clause( 3, [ =( divide( multiply( X, divide( Y, divide( X, Z ) ) ), Z ), 
% 0.69/1.09    Y ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 132, [ =( X, divide( multiply( multiply( Y, divide( Z, divide( Y, T
% 0.69/1.09     ) ) ), divide( X, Z ) ), T ) ) ] )
% 0.69/1.09  , clause( 3, [ =( divide( multiply( X, divide( Y, divide( X, Z ) ) ), Z ), 
% 0.69/1.09    Y ) ] )
% 0.69/1.09  , 0, clause( 128, [ =( Y, divide( multiply( X, divide( Y, divide( X, Z ) )
% 0.69/1.09     ), Z ) ) ] )
% 0.69/1.09  , 0, 13, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ), 
% 0.69/1.09    substitution( 1, [ :=( X, multiply( Y, divide( Z, divide( Y, T ) ) ) ), 
% 0.69/1.09    :=( Y, X ), :=( Z, T )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 134, [ =( divide( multiply( multiply( Y, divide( Z, divide( Y, T )
% 0.69/1.09     ) ), divide( X, Z ) ), T ), X ) ] )
% 0.69/1.09  , clause( 132, [ =( X, divide( multiply( multiply( Y, divide( Z, divide( Y
% 0.69/1.09    , T ) ) ), divide( X, Z ) ), T ) ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.69/1.09    ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 5, [ =( divide( multiply( multiply( X, divide( Y, divide( X, Z ) )
% 0.69/1.09     ), divide( T, Y ) ), Z ), T ) ] )
% 0.69/1.09  , clause( 134, [ =( divide( multiply( multiply( Y, divide( Z, divide( Y, T
% 0.69/1.09     ) ) ), divide( X, Z ) ), T ), X ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ), 
% 0.69/1.09    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 136, [ =( Y, divide( multiply( X, divide( Y, divide( X, Z ) ) ), Z
% 0.69/1.09     ) ) ] )
% 0.69/1.09  , clause( 3, [ =( divide( multiply( X, divide( Y, divide( X, Z ) ) ), Z ), 
% 0.69/1.09    Y ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 145, [ =( X, divide( divide( multiply( Z, X ), T ), divide( Z, T )
% 0.69/1.09     ) ) ] )
% 0.69/1.09  , clause( 4, [ =( multiply( X, divide( Y, divide( X, divide( Z, T ) ) ) ), 
% 0.69/1.09    divide( multiply( Z, Y ), T ) ) ] )
% 0.69/1.09  , 0, clause( 136, [ =( Y, divide( multiply( X, divide( Y, divide( X, Z ) )
% 0.69/1.09     ), Z ) ) ] )
% 0.69/1.09  , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T )] )
% 0.69/1.09    , substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, divide( Z, T ) )] )
% 0.69/1.09    ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 146, [ =( divide( divide( multiply( Y, X ), Z ), divide( Y, Z ) ), 
% 0.69/1.09    X ) ] )
% 0.69/1.09  , clause( 145, [ =( X, divide( divide( multiply( Z, X ), T ), divide( Z, T
% 0.69/1.09     ) ) ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y ), :=( T, Z )] )
% 0.69/1.09    ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 9, [ =( divide( divide( multiply( Z, Y ), T ), divide( Z, T ) ), Y
% 0.69/1.09     ) ] )
% 0.69/1.09  , clause( 146, [ =( divide( divide( multiply( Y, X ), Z ), divide( Y, Z ) )
% 0.69/1.09    , X ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ), 
% 0.69/1.09    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 148, [ =( Y, divide( divide( multiply( X, Y ), Z ), divide( X, Z )
% 0.69/1.09     ) ) ] )
% 0.69/1.09  , clause( 9, [ =( divide( divide( multiply( Z, Y ), T ), divide( Z, T ) ), 
% 0.69/1.09    Y ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, X ), :=( T, Z )] )
% 0.69/1.09    ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 151, [ =( X, divide( divide( multiply( Y, X ), inverse( Z ) ), 
% 0.69/1.09    multiply( Y, Z ) ) ) ] )
% 0.69/1.09  , clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.09  , 0, clause( 148, [ =( Y, divide( divide( multiply( X, Y ), Z ), divide( X
% 0.69/1.09    , Z ) ) ) ] )
% 0.69/1.09  , 0, 9, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [ 
% 0.69/1.09    :=( X, Y ), :=( Y, X ), :=( Z, inverse( Z ) )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 153, [ =( X, divide( multiply( multiply( Y, X ), Z ), multiply( Y, 
% 0.69/1.09    Z ) ) ) ] )
% 0.69/1.09  , clause( 1, [ =( divide( X, inverse( Y ) ), multiply( X, Y ) ) ] )
% 0.69/1.09  , 0, clause( 151, [ =( X, divide( divide( multiply( Y, X ), inverse( Z ) )
% 0.69/1.09    , multiply( Y, Z ) ) ) ] )
% 0.69/1.09  , 0, 3, substitution( 0, [ :=( X, multiply( Y, X ) ), :=( Y, Z )] ), 
% 0.69/1.09    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 154, [ =( divide( multiply( multiply( Y, X ), Z ), multiply( Y, Z )
% 0.69/1.09     ), X ) ] )
% 0.69/1.09  , clause( 153, [ =( X, divide( multiply( multiply( Y, X ), Z ), multiply( Y
% 0.69/1.09    , Z ) ) ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 14, [ =( divide( multiply( multiply( X, Y ), Z ), multiply( X, Z )
% 0.69/1.09     ), Y ) ] )
% 0.69/1.09  , clause( 154, [ =( divide( multiply( multiply( Y, X ), Z ), multiply( Y, Z
% 0.69/1.09     ) ), X ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ), 
% 0.69/1.09    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 156, [ =( Y, divide( divide( multiply( X, Y ), Z ), divide( X, Z )
% 0.69/1.09     ) ) ] )
% 0.69/1.09  , clause( 9, [ =( divide( divide( multiply( Z, Y ), T ), divide( Z, T ) ), 
% 0.69/1.09    Y ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, X ), :=( T, Z )] )
% 0.69/1.09    ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 157, [ =( X, divide( Z, divide( multiply( Y, Z ), multiply( Y, X )
% 0.69/1.09     ) ) ) ] )
% 0.69/1.09  , clause( 14, [ =( divide( multiply( multiply( X, Y ), Z ), multiply( X, Z
% 0.69/1.09     ) ), Y ) ] )
% 0.69/1.09  , 0, clause( 156, [ =( Y, divide( divide( multiply( X, Y ), Z ), divide( X
% 0.69/1.09    , Z ) ) ) ] )
% 0.69/1.09  , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ), 
% 0.69/1.09    substitution( 1, [ :=( X, multiply( Y, Z ) ), :=( Y, X ), :=( Z, multiply( 
% 0.69/1.09    Y, X ) )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 159, [ =( divide( Y, divide( multiply( Z, Y ), multiply( Z, X ) ) )
% 0.69/1.09    , X ) ] )
% 0.69/1.09  , clause( 157, [ =( X, divide( Z, divide( multiply( Y, Z ), multiply( Y, X
% 0.69/1.09     ) ) ) ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 15, [ =( divide( Y, divide( multiply( X, Y ), multiply( X, Z ) ) )
% 0.69/1.09    , Z ) ] )
% 0.69/1.09  , clause( 159, [ =( divide( Y, divide( multiply( Z, Y ), multiply( Z, X ) )
% 0.69/1.09     ), X ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ), 
% 0.69/1.09    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 162, [ =( Z, divide( X, divide( multiply( Y, X ), multiply( Y, Z )
% 0.69/1.09     ) ) ) ] )
% 0.69/1.09  , clause( 15, [ =( divide( Y, divide( multiply( X, Y ), multiply( X, Z ) )
% 0.69/1.09     ), Z ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 167, [ =( X, divide( divide( Y, divide( Z, multiply( Z, X ) ) ), Y
% 0.69/1.09     ) ) ] )
% 0.69/1.09  , clause( 3, [ =( divide( multiply( X, divide( Y, divide( X, Z ) ) ), Z ), 
% 0.69/1.09    Y ) ] )
% 0.69/1.09  , 0, clause( 162, [ =( Z, divide( X, divide( multiply( Y, X ), multiply( Y
% 0.69/1.09    , Z ) ) ) ) ] )
% 0.69/1.09  , 0, 10, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, multiply( Z, X )
% 0.69/1.09     )] ), substitution( 1, [ :=( X, divide( Y, divide( Z, multiply( Z, X ) )
% 0.69/1.09     ) ), :=( Y, Z ), :=( Z, X )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 168, [ =( divide( divide( Y, divide( Z, multiply( Z, X ) ) ), Y ), 
% 0.69/1.09    X ) ] )
% 0.69/1.09  , clause( 167, [ =( X, divide( divide( Y, divide( Z, multiply( Z, X ) ) ), 
% 0.69/1.09    Y ) ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 26, [ =( divide( divide( Y, divide( X, multiply( X, Z ) ) ), Y ), Z
% 0.69/1.09     ) ] )
% 0.69/1.09  , clause( 168, [ =( divide( divide( Y, divide( Z, multiply( Z, X ) ) ), Y )
% 0.69/1.09    , X ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ), 
% 0.69/1.09    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 170, [ =( Y, divide( multiply( X, divide( Y, divide( X, Z ) ) ), Z
% 0.69/1.09     ) ) ] )
% 0.69/1.09  , clause( 3, [ =( divide( multiply( X, divide( Y, divide( X, Z ) ) ), Z ), 
% 0.69/1.09    Y ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 173, [ =( divide( divide( X, Y ), divide( Z, multiply( Z, T ) ) ), 
% 0.69/1.09    divide( multiply( X, T ), Y ) ) ] )
% 0.69/1.09  , clause( 26, [ =( divide( divide( Y, divide( X, multiply( X, Z ) ) ), Y )
% 0.69/1.09    , Z ) ] )
% 0.69/1.09  , 0, clause( 170, [ =( Y, divide( multiply( X, divide( Y, divide( X, Z ) )
% 0.69/1.09     ), Z ) ) ] )
% 0.69/1.09  , 0, 13, substitution( 0, [ :=( X, Z ), :=( Y, divide( X, Y ) ), :=( Z, T )] )
% 0.69/1.09    , substitution( 1, [ :=( X, X ), :=( Y, divide( divide( X, Y ), divide( Z
% 0.69/1.09    , multiply( Z, T ) ) ) ), :=( Z, Y )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 31, [ =( divide( divide( X, Y ), divide( Z, multiply( Z, T ) ) ), 
% 0.69/1.09    divide( multiply( X, T ), Y ) ) ] )
% 0.69/1.09  , clause( 173, [ =( divide( divide( X, Y ), divide( Z, multiply( Z, T ) ) )
% 0.69/1.09    , divide( multiply( X, T ), Y ) ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.69/1.09    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 177, [ =( T, divide( multiply( multiply( X, divide( Y, divide( X, Z
% 0.69/1.09     ) ) ), divide( T, Y ) ), Z ) ) ] )
% 0.69/1.09  , clause( 5, [ =( divide( multiply( multiply( X, divide( Y, divide( X, Z )
% 0.69/1.09     ) ), divide( T, Y ) ), Z ), T ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.69/1.09    ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 179, [ =( X, divide( Z, divide( Y, multiply( Y, divide( X, Z ) ) )
% 0.69/1.09     ) ) ] )
% 0.69/1.09  , clause( 14, [ =( divide( multiply( multiply( X, Y ), Z ), multiply( X, Z
% 0.69/1.09     ) ), Y ) ] )
% 0.69/1.09  , 0, clause( 177, [ =( T, divide( multiply( multiply( X, divide( Y, divide( 
% 0.69/1.09    X, Z ) ) ), divide( T, Y ) ), Z ) ) ] )
% 0.69/1.09  , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, divide( Z, divide( Y, 
% 0.69/1.09    multiply( Y, divide( X, Z ) ) ) ) ), :=( Z, divide( X, Z ) )] ), 
% 0.69/1.09    substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, multiply( Y, divide( X
% 0.69/1.09    , Z ) ) ), :=( T, X )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 182, [ =( divide( Y, divide( Z, multiply( Z, divide( X, Y ) ) ) ), 
% 0.69/1.09    X ) ] )
% 0.69/1.09  , clause( 179, [ =( X, divide( Z, divide( Y, multiply( Y, divide( X, Z ) )
% 0.69/1.09     ) ) ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 34, [ =( divide( Y, divide( X, multiply( X, divide( Z, Y ) ) ) ), Z
% 0.69/1.09     ) ] )
% 0.69/1.09  , clause( 182, [ =( divide( Y, divide( Z, multiply( Z, divide( X, Y ) ) ) )
% 0.69/1.09    , X ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ), 
% 0.69/1.09    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 185, [ =( Z, divide( X, divide( Y, multiply( Y, divide( Z, X ) ) )
% 0.69/1.09     ) ) ] )
% 0.69/1.09  , clause( 34, [ =( divide( Y, divide( X, multiply( X, divide( Z, Y ) ) ) )
% 0.69/1.09    , Z ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 189, [ =( X, divide( divide( Y, multiply( Y, divide( Z, X ) ) ), 
% 0.69/1.09    divide( T, multiply( T, Z ) ) ) ) ] )
% 0.69/1.09  , clause( 34, [ =( divide( Y, divide( X, multiply( X, divide( Z, Y ) ) ) )
% 0.69/1.09    , Z ) ] )
% 0.69/1.09  , 0, clause( 185, [ =( Z, divide( X, divide( Y, multiply( Y, divide( Z, X )
% 0.69/1.09     ) ) ) ) ] )
% 0.69/1.09  , 0, 14, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ), 
% 0.69/1.09    substitution( 1, [ :=( X, divide( Y, multiply( Y, divide( Z, X ) ) ) ), 
% 0.69/1.09    :=( Y, T ), :=( Z, X )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 190, [ =( X, divide( multiply( Y, Z ), multiply( Y, divide( Z, X )
% 0.69/1.09     ) ) ) ] )
% 0.69/1.09  , clause( 31, [ =( divide( divide( X, Y ), divide( Z, multiply( Z, T ) ) )
% 0.69/1.09    , divide( multiply( X, T ), Y ) ) ] )
% 0.69/1.09  , 0, clause( 189, [ =( X, divide( divide( Y, multiply( Y, divide( Z, X ) )
% 0.69/1.09     ), divide( T, multiply( T, Z ) ) ) ) ] )
% 0.69/1.09  , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, multiply( Y, divide( Z, X ) )
% 0.69/1.09     ), :=( Z, T ), :=( T, Z )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 0.69/1.09    , :=( Z, Z ), :=( T, T )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 191, [ =( divide( multiply( Y, Z ), multiply( Y, divide( Z, X ) ) )
% 0.69/1.09    , X ) ] )
% 0.69/1.09  , clause( 190, [ =( X, divide( multiply( Y, Z ), multiply( Y, divide( Z, X
% 0.69/1.09     ) ) ) ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 36, [ =( divide( multiply( Y, Z ), multiply( Y, divide( Z, X ) ) )
% 0.69/1.09    , X ) ] )
% 0.69/1.09  , clause( 191, [ =( divide( multiply( Y, Z ), multiply( Y, divide( Z, X ) )
% 0.69/1.09     ), X ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.69/1.09    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 193, [ =( divide( multiply( Z, Y ), T ), multiply( X, divide( Y, 
% 0.69/1.09    divide( X, divide( Z, T ) ) ) ) ) ] )
% 0.69/1.09  , clause( 4, [ =( multiply( X, divide( Y, divide( X, divide( Z, T ) ) ) ), 
% 0.69/1.09    divide( multiply( Z, Y ), T ) ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.69/1.09    ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 197, [ =( divide( multiply( X, Y ), multiply( X, divide( Z, T ) ) )
% 0.69/1.09    , multiply( T, divide( Y, Z ) ) ) ] )
% 0.69/1.09  , clause( 34, [ =( divide( Y, divide( X, multiply( X, divide( Z, Y ) ) ) )
% 0.69/1.09    , Z ) ] )
% 0.69/1.09  , 0, clause( 193, [ =( divide( multiply( Z, Y ), T ), multiply( X, divide( 
% 0.69/1.09    Y, divide( X, divide( Z, T ) ) ) ) ) ] )
% 0.69/1.09  , 0, 14, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Z )] ), 
% 0.69/1.09    substitution( 1, [ :=( X, T ), :=( Y, Y ), :=( Z, X ), :=( T, multiply( X
% 0.69/1.09    , divide( Z, T ) ) )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 42, [ =( divide( multiply( Y, T ), multiply( Y, divide( Z, X ) ) )
% 0.69/1.09    , multiply( X, divide( T, Z ) ) ) ] )
% 0.69/1.09  , clause( 197, [ =( divide( multiply( X, Y ), multiply( X, divide( Z, T ) )
% 0.69/1.09     ), multiply( T, divide( Y, Z ) ) ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, Z ), :=( T, X )] ), 
% 0.69/1.09    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 204, [ =( multiply( Z, divide( Y, Y ) ), Z ) ] )
% 0.69/1.09  , clause( 42, [ =( divide( multiply( Y, T ), multiply( Y, divide( Z, X ) )
% 0.69/1.09     ), multiply( X, divide( T, Z ) ) ) ] )
% 0.69/1.09  , 0, clause( 36, [ =( divide( multiply( Y, Z ), multiply( Y, divide( Z, X )
% 0.69/1.09     ) ), X ) ] )
% 0.69/1.09  , 0, 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, Y )] )
% 0.69/1.09    , substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 49, [ =( multiply( X, divide( Z, Z ) ), X ) ] )
% 0.69/1.09  , clause( 204, [ =( multiply( Z, divide( Y, Y ) ), Z ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X )] ), 
% 0.69/1.09    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 207, [ =( Z, divide( X, divide( Y, multiply( Y, divide( Z, X ) ) )
% 0.69/1.09     ) ) ] )
% 0.69/1.09  , clause( 34, [ =( divide( Y, divide( X, multiply( X, divide( Z, Y ) ) ) )
% 0.69/1.09    , Z ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 208, [ =( X, divide( X, divide( Y, Y ) ) ) ] )
% 0.69/1.09  , clause( 49, [ =( multiply( X, divide( Z, Z ) ), X ) ] )
% 0.69/1.09  , 0, clause( 207, [ =( Z, divide( X, divide( Y, multiply( Y, divide( Z, X )
% 0.69/1.09     ) ) ) ) ] )
% 0.69/1.09  , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ), 
% 0.69/1.09    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, X )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 209, [ =( divide( X, divide( Y, Y ) ), X ) ] )
% 0.69/1.09  , clause( 208, [ =( X, divide( X, divide( Y, Y ) ) ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 50, [ =( divide( Y, divide( X, X ) ), Y ) ] )
% 0.69/1.09  , clause( 209, [ =( divide( X, divide( Y, Y ) ), X ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09     )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 211, [ =( Z, divide( divide( X, divide( Y, multiply( Y, Z ) ) ), X
% 0.69/1.09     ) ) ] )
% 0.69/1.09  , clause( 26, [ =( divide( divide( Y, divide( X, multiply( X, Z ) ) ), Y )
% 0.69/1.09    , Z ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 213, [ =( divide( X, X ), divide( divide( Y, divide( Z, Z ) ), Y )
% 0.69/1.09     ) ] )
% 0.69/1.09  , clause( 49, [ =( multiply( X, divide( Z, Z ) ), X ) ] )
% 0.69/1.09  , 0, clause( 211, [ =( Z, divide( divide( X, divide( Y, multiply( Y, Z ) )
% 0.69/1.09     ), X ) ) ] )
% 0.69/1.09  , 0, 9, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, X )] ), 
% 0.69/1.09    substitution( 1, [ :=( X, Y ), :=( Y, Z ), :=( Z, divide( X, X ) )] )
% 0.69/1.09    ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 214, [ =( divide( X, X ), divide( Y, Y ) ) ] )
% 0.69/1.09  , clause( 50, [ =( divide( Y, divide( X, X ) ), Y ) ] )
% 0.69/1.09  , 0, clause( 213, [ =( divide( X, X ), divide( divide( Y, divide( Z, Z ) )
% 0.69/1.09    , Y ) ) ] )
% 0.69/1.09  , 0, 5, substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), substitution( 1, [ 
% 0.69/1.09    :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 51, [ =( divide( Z, Z ), divide( Y, Y ) ) ] )
% 0.69/1.09  , clause( 214, [ =( divide( X, X ), divide( Y, Y ) ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, Z ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09     )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 216, [ =( Y, divide( multiply( multiply( X, Y ), Z ), multiply( X, 
% 0.69/1.09    Z ) ) ) ] )
% 0.69/1.09  , clause( 14, [ =( divide( multiply( multiply( X, Y ), Z ), multiply( X, Z
% 0.69/1.09     ) ), Y ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 218, [ =( X, divide( multiply( Y, X ), multiply( Y, divide( Z, Z )
% 0.69/1.09     ) ) ) ] )
% 0.69/1.09  , clause( 49, [ =( multiply( X, divide( Z, Z ) ), X ) ] )
% 0.69/1.09  , 0, clause( 216, [ =( Y, divide( multiply( multiply( X, Y ), Z ), multiply( 
% 0.69/1.09    X, Z ) ) ) ] )
% 0.69/1.09  , 0, 3, substitution( 0, [ :=( X, multiply( Y, X ) ), :=( Y, T ), :=( Z, Z
% 0.69/1.09     )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, divide( Z, Z ) )] )
% 0.69/1.09    ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 222, [ =( X, multiply( Z, divide( X, Z ) ) ) ] )
% 0.69/1.09  , clause( 42, [ =( divide( multiply( Y, T ), multiply( Y, divide( Z, X ) )
% 0.69/1.09     ), multiply( X, divide( T, Z ) ) ) ] )
% 0.69/1.09  , 0, clause( 218, [ =( X, divide( multiply( Y, X ), multiply( Y, divide( Z
% 0.69/1.09    , Z ) ) ) ) ] )
% 0.69/1.09  , 0, 2, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 0.69/1.09    , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 223, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.69/1.09  , clause( 222, [ =( X, multiply( Z, divide( X, Z ) ) ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 53, [ =( multiply( Z, divide( Y, Z ) ), Y ) ] )
% 0.69/1.09  , clause( 223, [ =( multiply( Y, divide( X, Y ) ), X ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09     )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 224, [ =( divide( multiply( Z, Y ), T ), multiply( X, divide( Y, 
% 0.69/1.09    divide( X, divide( Z, T ) ) ) ) ) ] )
% 0.69/1.09  , clause( 4, [ =( multiply( X, divide( Y, divide( X, divide( Z, T ) ) ) ), 
% 0.69/1.09    divide( multiply( Z, Y ), T ) ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.69/1.09    ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 228, [ =( divide( multiply( X, Y ), Z ), multiply( divide( X, Z ), 
% 0.69/1.09    divide( Y, divide( T, T ) ) ) ) ] )
% 0.69/1.09  , clause( 51, [ =( divide( Z, Z ), divide( Y, Y ) ) ] )
% 0.69/1.09  , 0, clause( 224, [ =( divide( multiply( Z, Y ), T ), multiply( X, divide( 
% 0.69/1.09    Y, divide( X, divide( Z, T ) ) ) ) ) ] )
% 0.69/1.09  , 0, 12, substitution( 0, [ :=( X, U ), :=( Y, T ), :=( Z, divide( X, Z ) )] )
% 0.69/1.09    , substitution( 1, [ :=( X, divide( X, Z ) ), :=( Y, Y ), :=( Z, X ), 
% 0.69/1.09    :=( T, Z )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 232, [ =( divide( multiply( X, Y ), Z ), multiply( divide( X, Z ), 
% 0.69/1.09    Y ) ) ] )
% 0.69/1.09  , clause( 50, [ =( divide( Y, divide( X, X ) ), Y ) ] )
% 0.69/1.09  , 0, clause( 228, [ =( divide( multiply( X, Y ), Z ), multiply( divide( X, 
% 0.69/1.09    Z ), divide( Y, divide( T, T ) ) ) ) ] )
% 0.69/1.09  , 0, 10, substitution( 0, [ :=( X, T ), :=( Y, Y )] ), substitution( 1, [ 
% 0.69/1.09    :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 233, [ =( multiply( divide( X, Z ), Y ), divide( multiply( X, Y ), 
% 0.69/1.09    Z ) ) ] )
% 0.69/1.09  , clause( 232, [ =( divide( multiply( X, Y ), Z ), multiply( divide( X, Z )
% 0.69/1.09    , Y ) ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 56, [ =( multiply( divide( X, Y ), T ), divide( multiply( X, T ), Y
% 0.69/1.09     ) ) ] )
% 0.69/1.09  , clause( 233, [ =( multiply( divide( X, Z ), Y ), divide( multiply( X, Y )
% 0.69/1.09    , Z ) ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Y )] ), 
% 0.69/1.09    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 235, [ =( Z, divide( X, divide( Y, multiply( Y, divide( Z, X ) ) )
% 0.69/1.09     ) ) ] )
% 0.69/1.09  , clause( 34, [ =( divide( Y, divide( X, multiply( X, divide( Z, Y ) ) ) )
% 0.69/1.09    , Z ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 238, [ =( X, divide( Y, divide( Y, X ) ) ) ] )
% 0.69/1.09  , clause( 53, [ =( multiply( Z, divide( Y, Z ) ), Y ) ] )
% 0.69/1.09  , 0, clause( 235, [ =( Z, divide( X, divide( Y, multiply( Y, divide( Z, X )
% 0.69/1.09     ) ) ) ) ] )
% 0.69/1.09  , 0, 6, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ), 
% 0.69/1.09    substitution( 1, [ :=( X, Y ), :=( Y, Y ), :=( Z, X )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 239, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 0.69/1.09  , clause( 238, [ =( X, divide( Y, divide( Y, X ) ) ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 73, [ =( divide( X, divide( X, Y ) ), Y ) ] )
% 0.69/1.09  , clause( 239, [ =( divide( Y, divide( Y, X ) ), X ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09     )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 241, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.69/1.09  , clause( 53, [ =( multiply( Z, divide( Y, Z ) ), Y ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 243, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.69/1.09  , clause( 73, [ =( divide( X, divide( X, Y ) ), Y ) ] )
% 0.69/1.09  , 0, clause( 241, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.69/1.09  , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 0.69/1.09    :=( X, divide( X, Y ) ), :=( Y, X )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 244, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 0.69/1.09  , clause( 56, [ =( multiply( divide( X, Y ), T ), divide( multiply( X, T )
% 0.69/1.09    , Y ) ) ] )
% 0.69/1.09  , 0, clause( 243, [ =( X, multiply( divide( X, Y ), Y ) ) ] )
% 0.69/1.09  , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y )] )
% 0.69/1.09    , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 245, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.69/1.09  , clause( 244, [ =( X, divide( multiply( X, Y ), Y ) ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 83, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.69/1.09  , clause( 245, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09     )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 247, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.69/1.09  , clause( 53, [ =( multiply( Z, divide( Y, Z ) ), Y ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 250, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.69/1.09  , clause( 83, [ =( divide( multiply( X, Y ), Y ), X ) ] )
% 0.69/1.09  , 0, clause( 247, [ =( Y, multiply( X, divide( Y, X ) ) ) ] )
% 0.69/1.09  , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 0.69/1.09    :=( X, Y ), :=( Y, multiply( X, Y ) )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 95, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.69/1.09  , clause( 250, [ =( multiply( X, Y ), multiply( Y, X ) ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09     )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 251, [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ] )
% 0.69/1.09  , clause( 2, [ ~( =( multiply( a, b ), multiply( b, a ) ) ) ] )
% 0.69/1.09  , 0, substitution( 0, [] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 253, [ ~( =( multiply( b, a ), multiply( b, a ) ) ) ] )
% 0.69/1.09  , clause( 95, [ =( multiply( Y, X ), multiply( X, Y ) ) ] )
% 0.69/1.09  , 0, clause( 251, [ ~( =( multiply( b, a ), multiply( a, b ) ) ) ] )
% 0.69/1.09  , 0, 5, substitution( 0, [ :=( X, b ), :=( Y, a )] ), substitution( 1, [] )
% 0.69/1.09    ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqrefl(
% 0.69/1.09  clause( 256, [] )
% 0.69/1.09  , clause( 253, [ ~( =( multiply( b, a ), multiply( b, a ) ) ) ] )
% 0.69/1.09  , 0, substitution( 0, [] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 106, [] )
% 0.69/1.09  , clause( 256, [] )
% 0.69/1.09  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  end.
% 0.69/1.09  
% 0.69/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.09  
% 0.69/1.09  Memory use:
% 0.69/1.09  
% 0.69/1.09  space for terms:        1377
% 0.69/1.09  space for clauses:      13399
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  clauses generated:      470
% 0.69/1.09  clauses kept:           107
% 0.69/1.09  clauses selected:       20
% 0.69/1.09  clauses deleted:        3
% 0.69/1.09  clauses inuse deleted:  0
% 0.69/1.09  
% 0.69/1.09  subsentry:          467
% 0.69/1.09  literals s-matched: 158
% 0.69/1.09  literals matched:   149
% 0.69/1.09  full subsumption:   0
% 0.69/1.09  
% 0.69/1.09  checksum:           -882891031
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  Bliksem ended
%------------------------------------------------------------------------------