TSTP Solution File: GRP603-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GRP603-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n029.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 07:37:50 EDT 2022

% Result   : Unsatisfiable 0.79s 1.16s
% Output   : Refutation 0.79s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GRP603-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.14  % Command  : bliksem %s
% 0.15/0.35  % Computer : n029.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % DateTime : Tue Jun 14 13:13:41 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.79/1.16  *** allocated 10000 integers for termspace/termends
% 0.79/1.16  *** allocated 10000 integers for clauses
% 0.79/1.16  *** allocated 10000 integers for justifications
% 0.79/1.16  Bliksem 1.12
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  Automatic Strategy Selection
% 0.79/1.16  
% 0.79/1.16  Clauses:
% 0.79/1.16  [
% 0.79/1.16     [ =( inverse( 'double_divide'( inverse( 'double_divide'( X, inverse( 
% 0.79/1.16    'double_divide'( Y, 'double_divide'( X, Z ) ) ) ) ), Z ) ), Y ) ],
% 0.79/1.16     [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) ) ],
% 0.79/1.16     [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, multiply( b3, 
% 0.79/1.16    c3 ) ) ) ) ]
% 0.79/1.16  ] .
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  percentage equality = 1.000000, percentage horn = 1.000000
% 0.79/1.16  This is a pure equality problem
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  Options Used:
% 0.79/1.16  
% 0.79/1.16  useres =            1
% 0.79/1.16  useparamod =        1
% 0.79/1.16  useeqrefl =         1
% 0.79/1.16  useeqfact =         1
% 0.79/1.16  usefactor =         1
% 0.79/1.16  usesimpsplitting =  0
% 0.79/1.16  usesimpdemod =      5
% 0.79/1.16  usesimpres =        3
% 0.79/1.16  
% 0.79/1.16  resimpinuse      =  1000
% 0.79/1.16  resimpclauses =     20000
% 0.79/1.16  substype =          eqrewr
% 0.79/1.16  backwardsubs =      1
% 0.79/1.16  selectoldest =      5
% 0.79/1.16  
% 0.79/1.16  litorderings [0] =  split
% 0.79/1.16  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.79/1.16  
% 0.79/1.16  termordering =      kbo
% 0.79/1.16  
% 0.79/1.16  litapriori =        0
% 0.79/1.16  termapriori =       1
% 0.79/1.16  litaposteriori =    0
% 0.79/1.16  termaposteriori =   0
% 0.79/1.16  demodaposteriori =  0
% 0.79/1.16  ordereqreflfact =   0
% 0.79/1.16  
% 0.79/1.16  litselect =         negord
% 0.79/1.16  
% 0.79/1.16  maxweight =         15
% 0.79/1.16  maxdepth =          30000
% 0.79/1.16  maxlength =         115
% 0.79/1.16  maxnrvars =         195
% 0.79/1.16  excuselevel =       1
% 0.79/1.16  increasemaxweight = 1
% 0.79/1.16  
% 0.79/1.16  maxselected =       10000000
% 0.79/1.16  maxnrclauses =      10000000
% 0.79/1.16  
% 0.79/1.16  showgenerated =    0
% 0.79/1.16  showkept =         0
% 0.79/1.16  showselected =     0
% 0.79/1.16  showdeleted =      0
% 0.79/1.16  showresimp =       1
% 0.79/1.16  showstatus =       2000
% 0.79/1.16  
% 0.79/1.16  prologoutput =     1
% 0.79/1.16  nrgoals =          5000000
% 0.79/1.16  totalproof =       1
% 0.79/1.16  
% 0.79/1.16  Symbols occurring in the translation:
% 0.79/1.16  
% 0.79/1.16  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.79/1.16  .  [1, 2]      (w:1, o:21, a:1, s:1, b:0), 
% 0.79/1.16  !  [4, 1]      (w:0, o:15, a:1, s:1, b:0), 
% 0.79/1.16  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.79/1.16  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.79/1.16  'double_divide'  [42, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.79/1.16  inverse  [43, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.79/1.16  multiply  [44, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.79/1.16  a3  [45, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.79/1.16  b3  [46, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.79/1.16  c3  [47, 0]      (w:1, o:14, a:1, s:1, b:0).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  Starting Search:
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  Bliksems!, er is een bewijs:
% 0.79/1.16  % SZS status Unsatisfiable
% 0.79/1.16  % SZS output start Refutation
% 0.79/1.16  
% 0.79/1.16  clause( 0, [ =( inverse( 'double_divide'( inverse( 'double_divide'( X, 
% 0.79/1.16    inverse( 'double_divide'( Y, 'double_divide'( X, Z ) ) ) ) ), Z ) ), Y )
% 0.79/1.16     ] )
% 0.79/1.16  .
% 0.79/1.16  clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.79/1.16  .
% 0.79/1.16  clause( 2, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( 
% 0.79/1.16    a3, b3 ), c3 ) ) ) ] )
% 0.79/1.16  .
% 0.79/1.16  clause( 3, [ =( multiply( Z, multiply( multiply( 'double_divide'( X, Z ), Y
% 0.79/1.16     ), X ) ), Y ) ] )
% 0.79/1.16  .
% 0.79/1.16  clause( 4, [ =( multiply( multiply( 'double_divide'( Z, 'double_divide'( X
% 0.79/1.16    , Y ) ), T ), Z ), multiply( Y, multiply( T, X ) ) ) ] )
% 0.79/1.16  .
% 0.79/1.16  clause( 5, [ =( multiply( 'double_divide'( Y, Z ), multiply( Z, multiply( T
% 0.79/1.16    , Y ) ) ), T ) ] )
% 0.79/1.16  .
% 0.79/1.16  clause( 6, [ =( multiply( 'double_divide'( multiply( Z, X ), 
% 0.79/1.16    'double_divide'( X, Y ) ), Z ), Y ) ] )
% 0.79/1.16  .
% 0.79/1.16  clause( 7, [ =( multiply( 'double_divide'( multiply( Y, multiply( Z, X ) )
% 0.79/1.16    , T ), multiply( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.79/1.16  .
% 0.79/1.16  clause( 11, [ =( multiply( 'double_divide'( X, T ), multiply( T, Z ) ), 
% 0.79/1.16    'double_divide'( multiply( X, Y ), 'double_divide'( Y, Z ) ) ) ] )
% 0.79/1.16  .
% 0.79/1.16  clause( 18, [ =( 'double_divide'( multiply( X, T ), 'double_divide'( T, 
% 0.79/1.16    multiply( Z, X ) ) ), Z ) ] )
% 0.79/1.16  .
% 0.79/1.16  clause( 33, [ =( multiply( 'double_divide'( Y, multiply( Z, X ) ), multiply( 
% 0.79/1.16    X, Y ) ), inverse( Z ) ) ] )
% 0.79/1.16  .
% 0.79/1.16  clause( 35, [ =( 'double_divide'( Y, multiply( 'double_divide'( multiply( X
% 0.79/1.16    , Y ), Z ), X ) ), Z ) ] )
% 0.79/1.16  .
% 0.79/1.16  clause( 48, [ =( multiply( 'double_divide'( X, 'double_divide'( X, multiply( 
% 0.79/1.16    Y, Z ) ) ), inverse( Y ) ), Z ) ] )
% 0.79/1.16  .
% 0.79/1.16  clause( 52, [ =( 'double_divide'( multiply( inverse( X ), Y ), multiply( X
% 0.79/1.16    , Z ) ), 'double_divide'( Y, Z ) ) ] )
% 0.79/1.16  .
% 0.79/1.16  clause( 57, [ =( 'double_divide'( Y, multiply( 'double_divide'( Y, Z ), 
% 0.79/1.16    inverse( X ) ) ), multiply( X, Z ) ) ] )
% 0.79/1.16  .
% 0.79/1.16  clause( 62, [ =( multiply( Y, 'double_divide'( X, multiply( Y, Z ) ) ), 
% 0.79/1.16    'double_divide'( X, Z ) ) ] )
% 0.79/1.16  .
% 0.79/1.16  clause( 71, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), Z ), 
% 0.79/1.16    'double_divide'( X, Y ) ) ] )
% 0.79/1.16  .
% 0.79/1.16  clause( 92, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.79/1.16  .
% 0.79/1.16  clause( 120, [ =( multiply( Y, multiply( Z, X ) ), multiply( multiply( Y, Z
% 0.79/1.16     ), X ) ) ] )
% 0.79/1.16  .
% 0.79/1.16  clause( 392, [] )
% 0.79/1.16  .
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  % SZS output end Refutation
% 0.79/1.16  found a proof!
% 0.79/1.16  
% 0.79/1.16  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.79/1.16  
% 0.79/1.16  initialclauses(
% 0.79/1.16  [ clause( 394, [ =( inverse( 'double_divide'( inverse( 'double_divide'( X, 
% 0.79/1.16    inverse( 'double_divide'( Y, 'double_divide'( X, Z ) ) ) ) ), Z ) ), Y )
% 0.79/1.16     ] )
% 0.79/1.16  , clause( 395, [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) )
% 0.79/1.16     ] )
% 0.79/1.16  , clause( 396, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, 
% 0.79/1.16    multiply( b3, c3 ) ) ) ) ] )
% 0.79/1.16  ] ).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  subsumption(
% 0.79/1.16  clause( 0, [ =( inverse( 'double_divide'( inverse( 'double_divide'( X, 
% 0.79/1.16    inverse( 'double_divide'( Y, 'double_divide'( X, Z ) ) ) ) ), Z ) ), Y )
% 0.79/1.16     ] )
% 0.79/1.16  , clause( 394, [ =( inverse( 'double_divide'( inverse( 'double_divide'( X, 
% 0.79/1.16    inverse( 'double_divide'( Y, 'double_divide'( X, Z ) ) ) ) ), Z ) ), Y )
% 0.79/1.16     ] )
% 0.79/1.16  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.79/1.16    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  eqswap(
% 0.79/1.16  clause( 399, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.79/1.16     )
% 0.79/1.16  , clause( 395, [ =( multiply( X, Y ), inverse( 'double_divide'( Y, X ) ) )
% 0.79/1.16     ] )
% 0.79/1.16  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  subsumption(
% 0.79/1.16  clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ] )
% 0.79/1.16  , clause( 399, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) )
% 0.79/1.16     ] )
% 0.79/1.16  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.16     )] ) ).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  eqswap(
% 0.79/1.16  clause( 402, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( 
% 0.79/1.16    a3, b3 ), c3 ) ) ) ] )
% 0.79/1.16  , clause( 396, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, 
% 0.79/1.16    multiply( b3, c3 ) ) ) ) ] )
% 0.79/1.16  , 0, substitution( 0, [] )).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  subsumption(
% 0.79/1.16  clause( 2, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( 
% 0.79/1.16    a3, b3 ), c3 ) ) ) ] )
% 0.79/1.16  , clause( 402, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( 
% 0.79/1.16    multiply( a3, b3 ), c3 ) ) ) ] )
% 0.79/1.16  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  paramod(
% 0.79/1.16  clause( 409, [ =( inverse( 'double_divide'( inverse( 'double_divide'( X, 
% 0.79/1.16    multiply( 'double_divide'( X, Z ), Y ) ) ), Z ) ), Y ) ] )
% 0.79/1.16  , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.79/1.16     )
% 0.79/1.16  , 0, clause( 0, [ =( inverse( 'double_divide'( inverse( 'double_divide'( X
% 0.79/1.16    , inverse( 'double_divide'( Y, 'double_divide'( X, Z ) ) ) ) ), Z ) ), Y
% 0.79/1.16     ) ] )
% 0.79/1.16  , 0, 6, substitution( 0, [ :=( X, 'double_divide'( X, Z ) ), :=( Y, Y )] )
% 0.79/1.16    , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  paramod(
% 0.79/1.16  clause( 415, [ =( inverse( 'double_divide'( multiply( multiply( 
% 0.79/1.16    'double_divide'( X, Y ), Z ), X ), Y ) ), Z ) ] )
% 0.79/1.16  , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.79/1.16     )
% 0.79/1.16  , 0, clause( 409, [ =( inverse( 'double_divide'( inverse( 'double_divide'( 
% 0.79/1.16    X, multiply( 'double_divide'( X, Z ), Y ) ) ), Z ) ), Y ) ] )
% 0.79/1.16  , 0, 3, substitution( 0, [ :=( X, multiply( 'double_divide'( X, Y ), Z ) )
% 0.79/1.16    , :=( Y, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )
% 0.79/1.16    ).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  paramod(
% 0.79/1.16  clause( 417, [ =( multiply( Y, multiply( multiply( 'double_divide'( X, Y )
% 0.79/1.16    , Z ), X ) ), Z ) ] )
% 0.79/1.16  , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.79/1.16     )
% 0.79/1.16  , 0, clause( 415, [ =( inverse( 'double_divide'( multiply( multiply( 
% 0.79/1.16    'double_divide'( X, Y ), Z ), X ), Y ) ), Z ) ] )
% 0.79/1.16  , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, multiply( multiply( 
% 0.79/1.16    'double_divide'( X, Y ), Z ), X ) )] ), substitution( 1, [ :=( X, X ), 
% 0.79/1.16    :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  subsumption(
% 0.79/1.16  clause( 3, [ =( multiply( Z, multiply( multiply( 'double_divide'( X, Z ), Y
% 0.79/1.16     ), X ) ), Y ) ] )
% 0.79/1.16  , clause( 417, [ =( multiply( Y, multiply( multiply( 'double_divide'( X, Y
% 0.79/1.16     ), Z ), X ) ), Z ) ] )
% 0.79/1.16  , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ), 
% 0.79/1.16    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  eqswap(
% 0.79/1.16  clause( 419, [ =( Z, multiply( X, multiply( multiply( 'double_divide'( Y, X
% 0.79/1.16     ), Z ), Y ) ) ) ] )
% 0.79/1.16  , clause( 3, [ =( multiply( Z, multiply( multiply( 'double_divide'( X, Z )
% 0.79/1.16    , Y ), X ) ), Y ) ] )
% 0.79/1.16  , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  paramod(
% 0.79/1.16  clause( 422, [ =( multiply( multiply( 'double_divide'( X, 'double_divide'( 
% 0.79/1.16    Y, Z ) ), T ), X ), multiply( Z, multiply( T, Y ) ) ) ] )
% 0.79/1.16  , clause( 3, [ =( multiply( Z, multiply( multiply( 'double_divide'( X, Z )
% 0.79/1.16    , Y ), X ) ), Y ) ] )
% 0.79/1.16  , 0, clause( 419, [ =( Z, multiply( X, multiply( multiply( 'double_divide'( 
% 0.79/1.16    Y, X ), Z ), Y ) ) ) ] )
% 0.79/1.16  , 0, 13, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, 'double_divide'( 
% 0.79/1.16    Y, Z ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, multiply( 
% 0.79/1.16    multiply( 'double_divide'( X, 'double_divide'( Y, Z ) ), T ), X ) )] )
% 0.79/1.16    ).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  subsumption(
% 0.79/1.16  clause( 4, [ =( multiply( multiply( 'double_divide'( Z, 'double_divide'( X
% 0.79/1.16    , Y ) ), T ), Z ), multiply( Y, multiply( T, X ) ) ) ] )
% 0.79/1.16  , clause( 422, [ =( multiply( multiply( 'double_divide'( X, 'double_divide'( 
% 0.79/1.16    Y, Z ) ), T ), X ), multiply( Z, multiply( T, Y ) ) ) ] )
% 0.79/1.16  , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] ), 
% 0.79/1.16    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  eqswap(
% 0.79/1.16  clause( 425, [ =( Z, multiply( X, multiply( multiply( 'double_divide'( Y, X
% 0.79/1.16     ), Z ), Y ) ) ) ] )
% 0.79/1.16  , clause( 3, [ =( multiply( Z, multiply( multiply( 'double_divide'( X, Z )
% 0.79/1.16    , Y ), X ) ), Y ) ] )
% 0.79/1.16  , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  paramod(
% 0.79/1.16  clause( 432, [ =( X, multiply( 'double_divide'( Y, Z ), multiply( Z, 
% 0.79/1.16    multiply( X, Y ) ) ) ) ] )
% 0.79/1.16  , clause( 4, [ =( multiply( multiply( 'double_divide'( Z, 'double_divide'( 
% 0.79/1.16    X, Y ) ), T ), Z ), multiply( Y, multiply( T, X ) ) ) ] )
% 0.79/1.16  , 0, clause( 425, [ =( Z, multiply( X, multiply( multiply( 'double_divide'( 
% 0.79/1.16    Y, X ), Z ), Y ) ) ) ] )
% 0.79/1.16  , 0, 6, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X )] )
% 0.79/1.16    , substitution( 1, [ :=( X, 'double_divide'( Y, Z ) ), :=( Y, T ), :=( Z
% 0.79/1.16    , X )] )).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  eqswap(
% 0.79/1.16  clause( 433, [ =( multiply( 'double_divide'( Y, Z ), multiply( Z, multiply( 
% 0.79/1.16    X, Y ) ) ), X ) ] )
% 0.79/1.16  , clause( 432, [ =( X, multiply( 'double_divide'( Y, Z ), multiply( Z, 
% 0.79/1.16    multiply( X, Y ) ) ) ) ] )
% 0.79/1.16  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  subsumption(
% 0.79/1.16  clause( 5, [ =( multiply( 'double_divide'( Y, Z ), multiply( Z, multiply( T
% 0.79/1.16    , Y ) ) ), T ) ] )
% 0.79/1.16  , clause( 433, [ =( multiply( 'double_divide'( Y, Z ), multiply( Z, 
% 0.79/1.16    multiply( X, Y ) ) ), X ) ] )
% 0.79/1.16  , substitution( 0, [ :=( X, T ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.79/1.16    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  eqswap(
% 0.79/1.16  clause( 434, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y, 
% 0.79/1.16    multiply( Z, X ) ) ) ) ] )
% 0.79/1.16  , clause( 5, [ =( multiply( 'double_divide'( Y, Z ), multiply( Z, multiply( 
% 0.79/1.16    T, Y ) ) ), T ) ] )
% 0.79/1.16  , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 0.79/1.16    ).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  paramod(
% 0.79/1.16  clause( 437, [ =( X, multiply( 'double_divide'( multiply( Y, Z ), 
% 0.79/1.16    'double_divide'( Z, X ) ), Y ) ) ] )
% 0.79/1.16  , clause( 5, [ =( multiply( 'double_divide'( Y, Z ), multiply( Z, multiply( 
% 0.79/1.16    T, Y ) ) ), T ) ] )
% 0.79/1.16  , 0, clause( 434, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y, 
% 0.79/1.16    multiply( Z, X ) ) ) ) ] )
% 0.79/1.16  , 0, 10, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] )
% 0.79/1.16    , substitution( 1, [ :=( X, multiply( Y, Z ) ), :=( Y, 'double_divide'( Z
% 0.79/1.16    , X ) ), :=( Z, X )] )).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  eqswap(
% 0.79/1.16  clause( 439, [ =( multiply( 'double_divide'( multiply( Y, Z ), 
% 0.79/1.16    'double_divide'( Z, X ) ), Y ), X ) ] )
% 0.79/1.16  , clause( 437, [ =( X, multiply( 'double_divide'( multiply( Y, Z ), 
% 0.79/1.16    'double_divide'( Z, X ) ), Y ) ) ] )
% 0.79/1.16  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  subsumption(
% 0.79/1.16  clause( 6, [ =( multiply( 'double_divide'( multiply( Z, X ), 
% 0.79/1.16    'double_divide'( X, Y ) ), Z ), Y ) ] )
% 0.79/1.16  , clause( 439, [ =( multiply( 'double_divide'( multiply( Y, Z ), 
% 0.79/1.16    'double_divide'( Z, X ) ), Y ), X ) ] )
% 0.79/1.16  , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ), 
% 0.79/1.16    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  eqswap(
% 0.79/1.16  clause( 441, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y, 
% 0.79/1.16    multiply( Z, X ) ) ) ) ] )
% 0.79/1.16  , clause( 5, [ =( multiply( 'double_divide'( Y, Z ), multiply( Z, multiply( 
% 0.79/1.16    T, Y ) ) ), T ) ] )
% 0.79/1.16  , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 0.79/1.16    ).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  paramod(
% 0.79/1.16  clause( 445, [ =( 'double_divide'( X, Y ), multiply( 'double_divide'( 
% 0.79/1.16    multiply( Y, multiply( Z, X ) ), T ), multiply( T, Z ) ) ) ] )
% 0.79/1.16  , clause( 5, [ =( multiply( 'double_divide'( Y, Z ), multiply( Z, multiply( 
% 0.79/1.16    T, Y ) ) ), T ) ] )
% 0.79/1.16  , 0, clause( 441, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y, 
% 0.79/1.16    multiply( Z, X ) ) ) ) ] )
% 0.79/1.16  , 0, 14, substitution( 0, [ :=( X, U ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 0.79/1.16    , substitution( 1, [ :=( X, multiply( Y, multiply( Z, X ) ) ), :=( Y, T )
% 0.79/1.16    , :=( Z, 'double_divide'( X, Y ) )] )).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  eqswap(
% 0.79/1.16  clause( 447, [ =( multiply( 'double_divide'( multiply( Y, multiply( Z, X )
% 0.79/1.16     ), T ), multiply( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.79/1.16  , clause( 445, [ =( 'double_divide'( X, Y ), multiply( 'double_divide'( 
% 0.79/1.16    multiply( Y, multiply( Z, X ) ), T ), multiply( T, Z ) ) ) ] )
% 0.79/1.16  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.79/1.16    ).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  subsumption(
% 0.79/1.16  clause( 7, [ =( multiply( 'double_divide'( multiply( Y, multiply( Z, X ) )
% 0.79/1.16    , T ), multiply( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.79/1.16  , clause( 447, [ =( multiply( 'double_divide'( multiply( Y, multiply( Z, X
% 0.79/1.16     ) ), T ), multiply( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.79/1.16  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.79/1.16    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  eqswap(
% 0.79/1.16  clause( 449, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y, 
% 0.79/1.16    multiply( Z, X ) ) ) ) ] )
% 0.79/1.16  , clause( 5, [ =( multiply( 'double_divide'( Y, Z ), multiply( Z, multiply( 
% 0.79/1.16    T, Y ) ) ), T ) ] )
% 0.79/1.16  , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 0.79/1.16    ).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  paramod(
% 0.79/1.16  clause( 453, [ =( 'double_divide'( multiply( X, Y ), 'double_divide'( Y, Z
% 0.79/1.16     ) ), multiply( 'double_divide'( X, T ), multiply( T, Z ) ) ) ] )
% 0.79/1.16  , clause( 6, [ =( multiply( 'double_divide'( multiply( Z, X ), 
% 0.79/1.16    'double_divide'( X, Y ) ), Z ), Y ) ] )
% 0.79/1.16  , 0, clause( 449, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y, 
% 0.79/1.16    multiply( Z, X ) ) ) ) ] )
% 0.79/1.16  , 0, 14, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ), 
% 0.79/1.16    substitution( 1, [ :=( X, X ), :=( Y, T ), :=( Z, 'double_divide'( 
% 0.79/1.16    multiply( X, Y ), 'double_divide'( Y, Z ) ) )] )).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  eqswap(
% 0.79/1.16  clause( 455, [ =( multiply( 'double_divide'( X, T ), multiply( T, Z ) ), 
% 0.79/1.16    'double_divide'( multiply( X, Y ), 'double_divide'( Y, Z ) ) ) ] )
% 0.79/1.16  , clause( 453, [ =( 'double_divide'( multiply( X, Y ), 'double_divide'( Y, 
% 0.79/1.16    Z ) ), multiply( 'double_divide'( X, T ), multiply( T, Z ) ) ) ] )
% 0.79/1.16  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.79/1.16    ).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  subsumption(
% 0.79/1.16  clause( 11, [ =( multiply( 'double_divide'( X, T ), multiply( T, Z ) ), 
% 0.79/1.16    'double_divide'( multiply( X, Y ), 'double_divide'( Y, Z ) ) ) ] )
% 0.79/1.16  , clause( 455, [ =( multiply( 'double_divide'( X, T ), multiply( T, Z ) ), 
% 0.79/1.16    'double_divide'( multiply( X, Y ), 'double_divide'( Y, Z ) ) ) ] )
% 0.79/1.16  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.79/1.16    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  eqswap(
% 0.79/1.16  clause( 456, [ =( 'double_divide'( multiply( X, T ), 'double_divide'( T, Z
% 0.79/1.16     ) ), multiply( 'double_divide'( X, Y ), multiply( Y, Z ) ) ) ] )
% 0.79/1.16  , clause( 11, [ =( multiply( 'double_divide'( X, T ), multiply( T, Z ) ), 
% 0.79/1.16    'double_divide'( multiply( X, Y ), 'double_divide'( Y, Z ) ) ) ] )
% 0.79/1.16  , 0, substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Z ), :=( T, Y )] )
% 0.79/1.16    ).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  paramod(
% 0.79/1.16  clause( 463, [ =( 'double_divide'( multiply( X, Y ), 'double_divide'( Y, 
% 0.79/1.16    multiply( Z, X ) ) ), Z ) ] )
% 0.79/1.16  , clause( 5, [ =( multiply( 'double_divide'( Y, Z ), multiply( Z, multiply( 
% 0.79/1.16    T, Y ) ) ), T ) ] )
% 0.79/1.16  , 0, clause( 456, [ =( 'double_divide'( multiply( X, T ), 'double_divide'( 
% 0.79/1.16    T, Z ) ), multiply( 'double_divide'( X, Y ), multiply( Y, Z ) ) ) ] )
% 0.79/1.16  , 0, 10, substitution( 0, [ :=( X, U ), :=( Y, X ), :=( Z, T ), :=( T, Z )] )
% 0.79/1.16    , substitution( 1, [ :=( X, X ), :=( Y, T ), :=( Z, multiply( Z, X ) ), 
% 0.79/1.16    :=( T, Y )] )).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  subsumption(
% 0.79/1.16  clause( 18, [ =( 'double_divide'( multiply( X, T ), 'double_divide'( T, 
% 0.79/1.16    multiply( Z, X ) ) ), Z ) ] )
% 0.79/1.16  , clause( 463, [ =( 'double_divide'( multiply( X, Y ), 'double_divide'( Y, 
% 0.79/1.16    multiply( Z, X ) ) ), Z ) ] )
% 0.79/1.16  , substitution( 0, [ :=( X, X ), :=( Y, T ), :=( Z, Z )] ), 
% 0.79/1.16    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  eqswap(
% 0.79/1.16  clause( 469, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) ) ) ]
% 0.79/1.16     )
% 0.79/1.16  , clause( 1, [ =( inverse( 'double_divide'( Y, X ) ), multiply( X, Y ) ) ]
% 0.79/1.16     )
% 0.79/1.16  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  paramod(
% 0.79/1.16  clause( 470, [ =( multiply( 'double_divide'( X, multiply( Y, Z ) ), 
% 0.79/1.16    multiply( Z, X ) ), inverse( Y ) ) ] )
% 0.79/1.16  , clause( 18, [ =( 'double_divide'( multiply( X, T ), 'double_divide'( T, 
% 0.79/1.16    multiply( Z, X ) ) ), Z ) ] )
% 0.79/1.16  , 0, clause( 469, [ =( multiply( Y, X ), inverse( 'double_divide'( X, Y ) )
% 0.79/1.16     ) ] )
% 0.79/1.16  , 0, 11, substitution( 0, [ :=( X, Z ), :=( Y, T ), :=( Z, Y ), :=( T, X )] )
% 0.79/1.16    , substitution( 1, [ :=( X, multiply( Z, X ) ), :=( Y, 'double_divide'( X
% 0.79/1.16    , multiply( Y, Z ) ) )] )).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  subsumption(
% 0.79/1.16  clause( 33, [ =( multiply( 'double_divide'( Y, multiply( Z, X ) ), multiply( 
% 0.79/1.16    X, Y ) ), inverse( Z ) ) ] )
% 0.79/1.16  , clause( 470, [ =( multiply( 'double_divide'( X, multiply( Y, Z ) ), 
% 0.79/1.16    multiply( Z, X ) ), inverse( Y ) ) ] )
% 0.79/1.16  , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ), 
% 0.79/1.16    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  eqswap(
% 0.79/1.16  clause( 472, [ =( 'double_divide'( Z, X ), multiply( 'double_divide'( 
% 0.79/1.16    multiply( X, multiply( Y, Z ) ), T ), multiply( T, Y ) ) ) ] )
% 0.79/1.16  , clause( 7, [ =( multiply( 'double_divide'( multiply( Y, multiply( Z, X )
% 0.79/1.16     ), T ), multiply( T, Z ) ), 'double_divide'( X, Y ) ) ] )
% 0.79/1.16  , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 0.79/1.16    ).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  paramod(
% 0.79/1.16  clause( 474, [ =( 'double_divide'( X, multiply( 'double_divide'( multiply( 
% 0.79/1.16    Y, X ), Z ), Y ) ), Z ) ] )
% 0.79/1.16  , clause( 6, [ =( multiply( 'double_divide'( multiply( Z, X ), 
% 0.79/1.16    'double_divide'( X, Y ) ), Z ), Y ) ] )
% 0.79/1.16  , 0, clause( 472, [ =( 'double_divide'( Z, X ), multiply( 'double_divide'( 
% 0.79/1.16    multiply( X, multiply( Y, Z ) ), T ), multiply( T, Y ) ) ) ] )
% 0.79/1.16  , 0, 10, substitution( 0, [ :=( X, multiply( Y, X ) ), :=( Y, Z ), :=( Z, 
% 0.79/1.16    multiply( 'double_divide'( multiply( Y, X ), Z ), Y ) )] ), 
% 0.79/1.16    substitution( 1, [ :=( X, multiply( 'double_divide'( multiply( Y, X ), Z
% 0.79/1.16     ), Y ) ), :=( Y, Y ), :=( Z, X ), :=( T, 'double_divide'( multiply( Y, X
% 0.79/1.16     ), Z ) )] )).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  subsumption(
% 0.79/1.16  clause( 35, [ =( 'double_divide'( Y, multiply( 'double_divide'( multiply( X
% 0.79/1.16    , Y ), Z ), X ) ), Z ) ] )
% 0.79/1.16  , clause( 474, [ =( 'double_divide'( X, multiply( 'double_divide'( multiply( 
% 0.79/1.16    Y, X ), Z ), Y ) ), Z ) ] )
% 0.79/1.16  , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ), 
% 0.79/1.16    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  eqswap(
% 0.79/1.16  clause( 483, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y, 
% 0.79/1.16    multiply( Z, X ) ) ) ) ] )
% 0.79/1.16  , clause( 5, [ =( multiply( 'double_divide'( Y, Z ), multiply( Z, multiply( 
% 0.79/1.16    T, Y ) ) ), T ) ] )
% 0.79/1.16  , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 0.79/1.16    ).
% 0.79/1.16  
% 0.79/1.16  
% 0.79/1.16  paramod(
% 0.79/1.16  clause( 488, [ =( X, multiply( 'double_divide'( Y, 'double_divide'( Y, 
% 0.79/1.16    multiply( Z, X ) ) ), inverse( Z ) ) ) ] )
% 0.79/1.16  , clause( 33, [ =( multiply( 'double_divide'( Y, multiply( Z, X ) ), 
% 0.79/1.17    multiply( X, Y ) ), inverse( Z ) ) ] )
% 0.79/1.17  , 0, clause( 483, [ =( Z, multiply( 'double_divide'( X, Y ), multiply( Y, 
% 0.79/1.17    multiply( Z, X ) ) ) ) ] )
% 0.79/1.17  , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.79/1.17    substitution( 1, [ :=( X, Y ), :=( Y, 'double_divide'( Y, multiply( Z, X
% 0.79/1.17     ) ) ), :=( Z, X )] )).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  eqswap(
% 0.79/1.17  clause( 490, [ =( multiply( 'double_divide'( Y, 'double_divide'( Y, 
% 0.79/1.17    multiply( Z, X ) ) ), inverse( Z ) ), X ) ] )
% 0.79/1.17  , clause( 488, [ =( X, multiply( 'double_divide'( Y, 'double_divide'( Y, 
% 0.79/1.17    multiply( Z, X ) ) ), inverse( Z ) ) ) ] )
% 0.79/1.17  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  subsumption(
% 0.79/1.17  clause( 48, [ =( multiply( 'double_divide'( X, 'double_divide'( X, multiply( 
% 0.79/1.17    Y, Z ) ) ), inverse( Y ) ), Z ) ] )
% 0.79/1.17  , clause( 490, [ =( multiply( 'double_divide'( Y, 'double_divide'( Y, 
% 0.79/1.17    multiply( Z, X ) ) ), inverse( Z ) ), X ) ] )
% 0.79/1.17  , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ), 
% 0.79/1.17    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  eqswap(
% 0.79/1.17  clause( 493, [ =( Z, 'double_divide'( X, multiply( 'double_divide'( 
% 0.79/1.17    multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.79/1.17  , clause( 35, [ =( 'double_divide'( Y, multiply( 'double_divide'( multiply( 
% 0.79/1.17    X, Y ), Z ), X ) ), Z ) ] )
% 0.79/1.17  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  paramod(
% 0.79/1.17  clause( 496, [ =( 'double_divide'( multiply( inverse( X ), Y ), multiply( X
% 0.79/1.17    , Z ) ), 'double_divide'( Y, Z ) ) ] )
% 0.79/1.17  , clause( 48, [ =( multiply( 'double_divide'( X, 'double_divide'( X, 
% 0.79/1.17    multiply( Y, Z ) ) ), inverse( Y ) ), Z ) ] )
% 0.79/1.17  , 0, clause( 493, [ =( Z, 'double_divide'( X, multiply( 'double_divide'( 
% 0.79/1.17    multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.79/1.17  , 0, 11, substitution( 0, [ :=( X, multiply( inverse( X ), Y ) ), :=( Y, X
% 0.79/1.17     ), :=( Z, Z )] ), substitution( 1, [ :=( X, Y ), :=( Y, inverse( X ) ), 
% 0.79/1.17    :=( Z, 'double_divide'( multiply( inverse( X ), Y ), multiply( X, Z ) ) )] )
% 0.79/1.17    ).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  subsumption(
% 0.79/1.17  clause( 52, [ =( 'double_divide'( multiply( inverse( X ), Y ), multiply( X
% 0.79/1.17    , Z ) ), 'double_divide'( Y, Z ) ) ] )
% 0.79/1.17  , clause( 496, [ =( 'double_divide'( multiply( inverse( X ), Y ), multiply( 
% 0.79/1.17    X, Z ) ), 'double_divide'( Y, Z ) ) ] )
% 0.79/1.17  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.79/1.17    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  eqswap(
% 0.79/1.17  clause( 501, [ =( Z, 'double_divide'( X, multiply( 'double_divide'( 
% 0.79/1.17    multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.79/1.17  , clause( 35, [ =( 'double_divide'( Y, multiply( 'double_divide'( multiply( 
% 0.79/1.17    X, Y ), Z ), X ) ), Z ) ] )
% 0.79/1.17  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  paramod(
% 0.79/1.17  clause( 504, [ =( multiply( X, Y ), 'double_divide'( Z, multiply( 
% 0.79/1.17    'double_divide'( Z, Y ), inverse( X ) ) ) ) ] )
% 0.79/1.17  , clause( 52, [ =( 'double_divide'( multiply( inverse( X ), Y ), multiply( 
% 0.79/1.17    X, Z ) ), 'double_divide'( Y, Z ) ) ] )
% 0.79/1.17  , 0, clause( 501, [ =( Z, 'double_divide'( X, multiply( 'double_divide'( 
% 0.79/1.17    multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.79/1.17  , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ), 
% 0.79/1.17    substitution( 1, [ :=( X, Z ), :=( Y, inverse( X ) ), :=( Z, multiply( X
% 0.79/1.17    , Y ) )] )).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  eqswap(
% 0.79/1.17  clause( 505, [ =( 'double_divide'( Z, multiply( 'double_divide'( Z, Y ), 
% 0.79/1.17    inverse( X ) ) ), multiply( X, Y ) ) ] )
% 0.79/1.17  , clause( 504, [ =( multiply( X, Y ), 'double_divide'( Z, multiply( 
% 0.79/1.17    'double_divide'( Z, Y ), inverse( X ) ) ) ) ] )
% 0.79/1.17  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  subsumption(
% 0.79/1.17  clause( 57, [ =( 'double_divide'( Y, multiply( 'double_divide'( Y, Z ), 
% 0.79/1.17    inverse( X ) ) ), multiply( X, Z ) ) ] )
% 0.79/1.17  , clause( 505, [ =( 'double_divide'( Z, multiply( 'double_divide'( Z, Y ), 
% 0.79/1.17    inverse( X ) ) ), multiply( X, Y ) ) ] )
% 0.79/1.17  , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ), 
% 0.79/1.17    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  eqswap(
% 0.79/1.17  clause( 507, [ =( multiply( Z, Y ), 'double_divide'( X, multiply( 
% 0.79/1.17    'double_divide'( X, Y ), inverse( Z ) ) ) ) ] )
% 0.79/1.17  , clause( 57, [ =( 'double_divide'( Y, multiply( 'double_divide'( Y, Z ), 
% 0.79/1.17    inverse( X ) ) ), multiply( X, Z ) ) ] )
% 0.79/1.17  , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  paramod(
% 0.79/1.17  clause( 511, [ =( multiply( X, 'double_divide'( Y, multiply( X, Z ) ) ), 
% 0.79/1.17    'double_divide'( Y, Z ) ) ] )
% 0.79/1.17  , clause( 48, [ =( multiply( 'double_divide'( X, 'double_divide'( X, 
% 0.79/1.17    multiply( Y, Z ) ) ), inverse( Y ) ), Z ) ] )
% 0.79/1.17  , 0, clause( 507, [ =( multiply( Z, Y ), 'double_divide'( X, multiply( 
% 0.79/1.17    'double_divide'( X, Y ), inverse( Z ) ) ) ) ] )
% 0.79/1.17  , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ), 
% 0.79/1.17    substitution( 1, [ :=( X, Y ), :=( Y, 'double_divide'( Y, multiply( X, Z
% 0.79/1.17     ) ) ), :=( Z, X )] )).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  subsumption(
% 0.79/1.17  clause( 62, [ =( multiply( Y, 'double_divide'( X, multiply( Y, Z ) ) ), 
% 0.79/1.17    'double_divide'( X, Z ) ) ] )
% 0.79/1.17  , clause( 511, [ =( multiply( X, 'double_divide'( Y, multiply( X, Z ) ) ), 
% 0.79/1.17    'double_divide'( Y, Z ) ) ] )
% 0.79/1.17  , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ), 
% 0.79/1.17    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  eqswap(
% 0.79/1.17  clause( 515, [ =( 'double_divide'( Y, Z ), multiply( X, 'double_divide'( Y
% 0.79/1.17    , multiply( X, Z ) ) ) ) ] )
% 0.79/1.17  , clause( 62, [ =( multiply( Y, 'double_divide'( X, multiply( Y, Z ) ) ), 
% 0.79/1.17    'double_divide'( X, Z ) ) ] )
% 0.79/1.17  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  paramod(
% 0.79/1.17  clause( 519, [ =( 'double_divide'( X, Y ), multiply( 'double_divide'( 
% 0.79/1.17    multiply( Y, X ), Z ), Z ) ) ] )
% 0.79/1.17  , clause( 35, [ =( 'double_divide'( Y, multiply( 'double_divide'( multiply( 
% 0.79/1.17    X, Y ), Z ), X ) ), Z ) ] )
% 0.79/1.17  , 0, clause( 515, [ =( 'double_divide'( Y, Z ), multiply( X, 
% 0.79/1.17    'double_divide'( Y, multiply( X, Z ) ) ) ) ] )
% 0.79/1.17  , 0, 10, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ), 
% 0.79/1.17    substitution( 1, [ :=( X, 'double_divide'( multiply( Y, X ), Z ) ), :=( Y
% 0.79/1.17    , X ), :=( Z, Y )] )).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  eqswap(
% 0.79/1.17  clause( 521, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), Z ), 
% 0.79/1.17    'double_divide'( X, Y ) ) ] )
% 0.79/1.17  , clause( 519, [ =( 'double_divide'( X, Y ), multiply( 'double_divide'( 
% 0.79/1.17    multiply( Y, X ), Z ), Z ) ) ] )
% 0.79/1.17  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  subsumption(
% 0.79/1.17  clause( 71, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), Z ), 
% 0.79/1.17    'double_divide'( X, Y ) ) ] )
% 0.79/1.17  , clause( 521, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), Z ), 
% 0.79/1.17    'double_divide'( X, Y ) ) ] )
% 0.79/1.17  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.79/1.17    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  eqswap(
% 0.79/1.17  clause( 523, [ =( Z, 'double_divide'( X, multiply( 'double_divide'( 
% 0.79/1.17    multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.79/1.17  , clause( 35, [ =( 'double_divide'( Y, multiply( 'double_divide'( multiply( 
% 0.79/1.17    X, Y ), Z ), X ) ), Z ) ] )
% 0.79/1.17  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  paramod(
% 0.79/1.17  clause( 528, [ =( X, 'double_divide'( Y, 'double_divide'( Y, X ) ) ) ] )
% 0.79/1.17  , clause( 71, [ =( multiply( 'double_divide'( multiply( Y, X ), Z ), Z ), 
% 0.79/1.17    'double_divide'( X, Y ) ) ] )
% 0.79/1.17  , 0, clause( 523, [ =( Z, 'double_divide'( X, multiply( 'double_divide'( 
% 0.79/1.17    multiply( Y, X ), Z ), Y ) ) ) ] )
% 0.79/1.17  , 0, 4, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ), 
% 0.79/1.17    substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] )).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  eqswap(
% 0.79/1.17  clause( 530, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.79/1.17  , clause( 528, [ =( X, 'double_divide'( Y, 'double_divide'( Y, X ) ) ) ] )
% 0.79/1.17  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  subsumption(
% 0.79/1.17  clause( 92, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.79/1.17  , clause( 530, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.79/1.17  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.17     )] ) ).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  eqswap(
% 0.79/1.17  clause( 533, [ =( multiply( Z, multiply( T, Y ) ), multiply( multiply( 
% 0.79/1.17    'double_divide'( X, 'double_divide'( Y, Z ) ), T ), X ) ) ] )
% 0.79/1.17  , clause( 4, [ =( multiply( multiply( 'double_divide'( Z, 'double_divide'( 
% 0.79/1.17    X, Y ) ), T ), Z ), multiply( Y, multiply( T, X ) ) ) ] )
% 0.79/1.17  , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T )] )
% 0.79/1.17    ).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  paramod(
% 0.79/1.17  clause( 534, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X, Y
% 0.79/1.17     ), Z ) ) ] )
% 0.79/1.17  , clause( 92, [ =( 'double_divide'( Y, 'double_divide'( Y, X ) ), X ) ] )
% 0.79/1.17  , 0, clause( 533, [ =( multiply( Z, multiply( T, Y ) ), multiply( multiply( 
% 0.79/1.17    'double_divide'( X, 'double_divide'( Y, Z ) ), T ), X ) ) ] )
% 0.79/1.17  , 0, 8, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [ 
% 0.79/1.17    :=( X, Z ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] )).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  subsumption(
% 0.79/1.17  clause( 120, [ =( multiply( Y, multiply( Z, X ) ), multiply( multiply( Y, Z
% 0.79/1.17     ), X ) ) ] )
% 0.79/1.17  , clause( 534, [ =( multiply( X, multiply( Y, Z ) ), multiply( multiply( X
% 0.79/1.17    , Y ), Z ) ) ] )
% 0.79/1.17  , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ), 
% 0.79/1.17    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  eqswap(
% 0.79/1.17  clause( 538, [ =( multiply( multiply( X, Y ), Z ), multiply( X, multiply( Y
% 0.79/1.17    , Z ) ) ) ] )
% 0.79/1.17  , clause( 120, [ =( multiply( Y, multiply( Z, X ) ), multiply( multiply( Y
% 0.79/1.17    , Z ), X ) ) ] )
% 0.79/1.17  , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  eqswap(
% 0.79/1.17  clause( 539, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, 
% 0.79/1.17    multiply( b3, c3 ) ) ) ) ] )
% 0.79/1.17  , clause( 2, [ ~( =( multiply( a3, multiply( b3, c3 ) ), multiply( multiply( 
% 0.79/1.17    a3, b3 ), c3 ) ) ) ] )
% 0.79/1.17  , 0, substitution( 0, [] )).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  resolution(
% 0.79/1.17  clause( 540, [] )
% 0.79/1.17  , clause( 539, [ ~( =( multiply( multiply( a3, b3 ), c3 ), multiply( a3, 
% 0.79/1.17    multiply( b3, c3 ) ) ) ) ] )
% 0.79/1.17  , 0, clause( 538, [ =( multiply( multiply( X, Y ), Z ), multiply( X, 
% 0.79/1.17    multiply( Y, Z ) ) ) ] )
% 0.79/1.17  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a3 ), :=( Y, b3 ), 
% 0.79/1.17    :=( Z, c3 )] )).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  subsumption(
% 0.79/1.17  clause( 392, [] )
% 0.79/1.17  , clause( 540, [] )
% 0.79/1.17  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  end.
% 0.79/1.17  
% 0.79/1.17  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.79/1.17  
% 0.79/1.17  Memory use:
% 0.79/1.17  
% 0.79/1.17  space for terms:        5317
% 0.79/1.17  space for clauses:      44651
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  clauses generated:      4831
% 0.79/1.17  clauses kept:           393
% 0.79/1.17  clauses selected:       58
% 0.79/1.17  clauses deleted:        24
% 0.79/1.17  clauses inuse deleted:  0
% 0.79/1.17  
% 0.79/1.17  subsentry:          2109
% 0.79/1.17  literals s-matched: 1779
% 0.79/1.17  literals matched:   1765
% 0.79/1.17  full subsumption:   0
% 0.79/1.17  
% 0.79/1.17  checksum:           943311913
% 0.79/1.17  
% 0.79/1.17  
% 0.79/1.17  Bliksem ended
%------------------------------------------------------------------------------