TSTP Solution File: HEN010-3 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : HEN010-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n010.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 12:47:11 EDT 2022

% Result   : Unsatisfiable 10.54s 10.97s
% Output   : Refutation 10.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : HEN010-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : bliksem %s
% 0.11/0.33  % Computer : n010.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % DateTime : Fri Jul  1 12:56:48 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 10.54/10.97  *** allocated 10000 integers for termspace/termends
% 10.54/10.97  *** allocated 10000 integers for clauses
% 10.54/10.97  *** allocated 10000 integers for justifications
% 10.54/10.97  Bliksem 1.12
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  Automatic Strategy Selection
% 10.54/10.97  
% 10.54/10.97  Clauses:
% 10.54/10.97  [
% 10.54/10.97     [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ],
% 10.54/10.97     [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ],
% 10.54/10.97     [ 'less_equal'( divide( X, Y ), X ) ],
% 10.54/10.97     [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide( divide( 
% 10.54/10.97    X, Z ), Y ) ) ],
% 10.54/10.97     [ 'less_equal'( zero, X ) ],
% 10.54/10.97     [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y ) ],
% 10.54/10.97     [ 'less_equal'( X, identity ) ],
% 10.54/10.97     [ ~( =( divide( identity, a ), divide( divide( identity, a ), divide( 
% 10.54/10.97    identity, divide( identity, a ) ) ) ) ) ]
% 10.54/10.97  ] .
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  percentage equality = 0.333333, percentage horn = 1.000000
% 10.54/10.97  This is a problem with some equality
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  Options Used:
% 10.54/10.97  
% 10.54/10.97  useres =            1
% 10.54/10.97  useparamod =        1
% 10.54/10.97  useeqrefl =         1
% 10.54/10.97  useeqfact =         1
% 10.54/10.97  usefactor =         1
% 10.54/10.97  usesimpsplitting =  0
% 10.54/10.97  usesimpdemod =      5
% 10.54/10.97  usesimpres =        3
% 10.54/10.97  
% 10.54/10.97  resimpinuse      =  1000
% 10.54/10.97  resimpclauses =     20000
% 10.54/10.97  substype =          eqrewr
% 10.54/10.97  backwardsubs =      1
% 10.54/10.97  selectoldest =      5
% 10.54/10.97  
% 10.54/10.97  litorderings [0] =  split
% 10.54/10.97  litorderings [1] =  extend the termordering, first sorting on arguments
% 10.54/10.97  
% 10.54/10.97  termordering =      kbo
% 10.54/10.97  
% 10.54/10.97  litapriori =        0
% 10.54/10.97  termapriori =       1
% 10.54/10.97  litaposteriori =    0
% 10.54/10.97  termaposteriori =   0
% 10.54/10.97  demodaposteriori =  0
% 10.54/10.97  ordereqreflfact =   0
% 10.54/10.97  
% 10.54/10.97  litselect =         negord
% 10.54/10.97  
% 10.54/10.97  maxweight =         15
% 10.54/10.97  maxdepth =          30000
% 10.54/10.97  maxlength =         115
% 10.54/10.97  maxnrvars =         195
% 10.54/10.97  excuselevel =       1
% 10.54/10.97  increasemaxweight = 1
% 10.54/10.97  
% 10.54/10.97  maxselected =       10000000
% 10.54/10.97  maxnrclauses =      10000000
% 10.54/10.97  
% 10.54/10.97  showgenerated =    0
% 10.54/10.97  showkept =         0
% 10.54/10.97  showselected =     0
% 10.54/10.97  showdeleted =      0
% 10.54/10.97  showresimp =       1
% 10.54/10.97  showstatus =       2000
% 10.54/10.97  
% 10.54/10.97  prologoutput =     1
% 10.54/10.97  nrgoals =          5000000
% 10.54/10.97  totalproof =       1
% 10.54/10.97  
% 10.54/10.97  Symbols occurring in the translation:
% 10.54/10.97  
% 10.54/10.97  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 10.54/10.97  .  [1, 2]      (w:1, o:20, a:1, s:1, b:0), 
% 10.54/10.97  !  [4, 1]      (w:0, o:15, a:1, s:1, b:0), 
% 10.54/10.97  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 10.54/10.97  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 10.54/10.97  'less_equal'  [41, 2]      (w:1, o:45, a:1, s:1, b:0), 
% 10.54/10.97  divide  [42, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 10.54/10.97  zero  [43, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 10.54/10.97  identity  [45, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 10.54/10.97  a  [46, 0]      (w:1, o:14, a:1, s:1, b:0).
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  Starting Search:
% 10.54/10.97  
% 10.54/10.97  Resimplifying inuse:
% 10.54/10.97  Done
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  Intermediate Status:
% 10.54/10.97  Generated:    30246
% 10.54/10.97  Kept:         2036
% 10.54/10.97  Inuse:        187
% 10.54/10.97  Deleted:      45
% 10.54/10.97  Deletedinuse: 13
% 10.54/10.97  
% 10.54/10.97  Resimplifying inuse:
% 10.54/10.97  Done
% 10.54/10.97  
% 10.54/10.97  Resimplifying inuse:
% 10.54/10.97  Done
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  Intermediate Status:
% 10.54/10.97  Generated:    71529
% 10.54/10.97  Kept:         4046
% 10.54/10.97  Inuse:        319
% 10.54/10.97  Deleted:      207
% 10.54/10.97  Deletedinuse: 77
% 10.54/10.97  
% 10.54/10.97  Resimplifying inuse:
% 10.54/10.97  Done
% 10.54/10.97  
% 10.54/10.97  Resimplifying inuse:
% 10.54/10.97  Done
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  Intermediate Status:
% 10.54/10.97  Generated:    98335
% 10.54/10.97  Kept:         6050
% 10.54/10.97  Inuse:        400
% 10.54/10.97  Deleted:      230
% 10.54/10.97  Deletedinuse: 80
% 10.54/10.97  
% 10.54/10.97  Resimplifying inuse:
% 10.54/10.97  Done
% 10.54/10.97  
% 10.54/10.97  Resimplifying inuse:
% 10.54/10.97  Done
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  Intermediate Status:
% 10.54/10.97  Generated:    134233
% 10.54/10.97  Kept:         8056
% 10.54/10.97  Inuse:        469
% 10.54/10.97  Deleted:      283
% 10.54/10.97  Deletedinuse: 100
% 10.54/10.97  
% 10.54/10.97  Resimplifying inuse:
% 10.54/10.97  Done
% 10.54/10.97  
% 10.54/10.97  Resimplifying inuse:
% 10.54/10.97  Done
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  Intermediate Status:
% 10.54/10.97  Generated:    176535
% 10.54/10.97  Kept:         10114
% 10.54/10.97  Inuse:        519
% 10.54/10.97  Deleted:      366
% 10.54/10.97  Deletedinuse: 101
% 10.54/10.97  
% 10.54/10.97  Resimplifying inuse:
% 10.54/10.97  Done
% 10.54/10.97  
% 10.54/10.97  Resimplifying inuse:
% 10.54/10.97  Done
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  Intermediate Status:
% 10.54/10.97  Generated:    195407
% 10.54/10.97  Kept:         12279
% 10.54/10.97  Inuse:        548
% 10.54/10.97  Deleted:      368
% 10.54/10.97  Deletedinuse: 101
% 10.54/10.97  
% 10.54/10.97  Resimplifying inuse:
% 10.54/10.97  Done
% 10.54/10.97  
% 10.54/10.97  Resimplifying inuse:
% 10.54/10.97  Done
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  Intermediate Status:
% 10.54/10.97  Generated:    269465
% 10.54/10.97  Kept:         14329
% 10.54/10.97  Inuse:        615
% 10.54/10.97  Deleted:      404
% 10.54/10.97  Deletedinuse: 101
% 10.54/10.97  
% 10.54/10.97  Resimplifying inuse:
% 10.54/10.97  Done
% 10.54/10.97  
% 10.54/10.97  Resimplifying inuse:
% 10.54/10.97  Done
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  Bliksems!, er is een bewijs:
% 10.54/10.97  % SZS status Unsatisfiable
% 10.54/10.97  % SZS output start Refutation
% 10.54/10.97  
% 10.54/10.97  clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide( 
% 10.54/10.97    divide( X, Z ), Y ) ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 4, [ 'less_equal'( zero, X ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 10.54/10.97     ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 6, [ 'less_equal'( X, identity ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 7, [ ~( =( divide( divide( identity, a ), divide( identity, divide( 
% 10.54/10.97    identity, a ) ) ), divide( identity, a ) ) ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 8, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 9, [ =( divide( zero, X ), zero ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 10, [ =( divide( X, identity ), zero ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 13, [ 'less_equal'( divide( divide( X, Z ), divide( Y, Z ) ), zero
% 10.54/10.97     ), ~( 'less_equal'( divide( X, Y ), Z ) ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 14, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( divide( X, Z
% 10.54/10.97     ), divide( Y, Z ) ), zero ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 15, [ 'less_equal'( divide( divide( Y, X ), zero ), divide( divide( 
% 10.54/10.97    Y, zero ), X ) ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 16, [ 'less_equal'( divide( divide( X, Y ), divide( identity, Y ) )
% 10.54/10.97    , zero ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 20, [ ~( 'less_equal'( divide( divide( X, Y ), Z ), divide( divide( 
% 10.54/10.97    X, Z ), divide( Y, Z ) ) ) ), =( divide( divide( X, Z ), divide( Y, Z ) )
% 10.54/10.97    , divide( divide( X, Y ), Z ) ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 21, [ ~( 'less_equal'( X, Y ) ), =( Y, X ), ~( =( divide( Y, X ), 
% 10.54/10.97    zero ) ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 23, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 33, [ ~( =( Z, zero ) ), 'less_equal'( X, Y ), ~( 'less_equal'( 
% 10.54/10.97    divide( X, Y ), Z ) ), ~( 'less_equal'( Z, divide( X, Y ) ) ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 35, [ 'less_equal'( X, Y ), ~( 'less_equal'( X, zero ) ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 37, [ 'less_equal'( X, Y ), ~( 'less_equal'( divide( X, Y ), zero )
% 10.54/10.97     ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 42, [ ~( =( divide( divide( identity, a ), X ), divide( identity, a
% 10.54/10.97     ) ) ), ~( 'less_equal'( divide( identity, divide( identity, a ) ), X ) )
% 10.54/10.97    , ~( 'less_equal'( X, divide( identity, divide( identity, a ) ) ) ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 58, [ 'less_equal'( X, Y ), ~( =( divide( X, zero ), zero ) ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 96, [ ~( 'less_equal'( divide( X, Y ), Z ) ), =( divide( divide( X
% 10.54/10.97    , Z ), divide( Y, Z ) ), zero ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 160, [ 'less_equal'( divide( divide( X, X ), zero ), zero ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 168, [ =( divide( divide( X, X ), zero ), zero ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 192, [ 'less_equal'( divide( X, X ), zero ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 201, [ =( divide( X, X ), zero ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 206, [ 'less_equal'( X, X ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 207, [ 'less_equal'( divide( divide( X, divide( X, zero ) ), zero )
% 10.54/10.97    , zero ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 293, [ 'less_equal'( X, Y ), ~( 'less_equal'( divide( X, zero ), 
% 10.54/10.97    zero ) ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 302, [ ~( 'less_equal'( divide( X, zero ), zero ) ), =( zero, X ) ]
% 10.54/10.97     )
% 10.54/10.97  .
% 10.54/10.97  clause( 320, [ 'less_equal'( divide( X, Y ), divide( identity, Y ) ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 321, [ 'less_equal'( divide( X, Y ), divide( Z, Y ) ), ~( 
% 10.54/10.97    'less_equal'( X, Z ) ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 322, [ 'less_equal'( divide( X, Y ), divide( Z, Y ) ), ~( 
% 10.54/10.97    'less_equal'( divide( X, Z ), Y ) ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 323, [ ~( 'less_equal'( divide( X, Y ), zero ) ), ~( 'less_equal'( 
% 10.54/10.97    Y, X ) ), =( X, Y ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 1637, [ =( divide( X, divide( X, zero ) ), zero ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 1642, [ =( divide( X, zero ), X ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 1646, [ =( divide( divide( Y, X ), X ), divide( Y, X ) ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 2435, [ 'less_equal'( divide( Z, X ), zero ), ~( 'less_equal'( Z, 
% 10.54/10.97    divide( X, Y ) ) ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 2464, [ ~( 'less_equal'( X, divide( Y, Z ) ) ), 'less_equal'( X, Y
% 10.54/10.97     ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 2490, [ 'less_equal'( X, Y ), ~( 'less_equal'( divide( X, divide( Y
% 10.54/10.97    , Z ) ), zero ) ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 3820, [ 'less_equal'( divide( X, Y ), Z ), ~( 'less_equal'( divide( 
% 10.54/10.97    X, Z ), Y ) ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 3866, [ 'less_equal'( divide( X, divide( X, Y ) ), Y ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 3934, [ 'less_equal'( divide( X, divide( X, divide( Y, Z ) ) ), Y )
% 10.54/10.97     ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 4087, [ 'less_equal'( divide( X, Y ), divide( X, divide( Y, Z ) ) )
% 10.54/10.97     ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 4125, [ 'less_equal'( divide( X, Y ), divide( divide( X, Y ), 
% 10.54/10.97    divide( Y, Z ) ) ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 14868, [ 'less_equal'( divide( X, divide( identity, Y ) ), divide( 
% 10.54/10.97    Y, divide( identity, Y ) ) ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 15446, [ =( divide( divide( X, Y ), divide( Y, Z ) ), divide( X, Y
% 10.54/10.97     ) ) ] )
% 10.54/10.97  .
% 10.54/10.97  clause( 15687, [] )
% 10.54/10.97  .
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  % SZS output end Refutation
% 10.54/10.97  found a proof!
% 10.54/10.97  
% 10.54/10.97  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 10.54/10.97  
% 10.54/10.97  initialclauses(
% 10.54/10.97  [ clause( 15689, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ]
% 10.54/10.97     )
% 10.54/10.97  , clause( 15690, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ]
% 10.54/10.97     )
% 10.54/10.97  , clause( 15691, [ 'less_equal'( divide( X, Y ), X ) ] )
% 10.54/10.97  , clause( 15692, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), 
% 10.54/10.97    divide( divide( X, Z ), Y ) ) ] )
% 10.54/10.97  , clause( 15693, [ 'less_equal'( zero, X ) ] )
% 10.54/10.97  , clause( 15694, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), 
% 10.54/10.97    =( X, Y ) ] )
% 10.54/10.97  , clause( 15695, [ 'less_equal'( X, identity ) ] )
% 10.54/10.97  , clause( 15696, [ ~( =( divide( identity, a ), divide( divide( identity, a
% 10.54/10.97     ), divide( identity, divide( identity, a ) ) ) ) ) ] )
% 10.54/10.97  ] ).
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  subsumption(
% 10.54/10.97  clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 10.54/10.97  , clause( 15689, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ]
% 10.54/10.97     )
% 10.54/10.97  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.54/10.97     ), ==>( 1, 1 )] ) ).
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  subsumption(
% 10.54/10.97  clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 10.54/10.97  , clause( 15690, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ]
% 10.54/10.97     )
% 10.54/10.97  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.54/10.97     ), ==>( 1, 1 )] ) ).
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  subsumption(
% 10.54/10.97  clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 10.54/10.97  , clause( 15691, [ 'less_equal'( divide( X, Y ), X ) ] )
% 10.54/10.97  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.54/10.97     )] ) ).
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  subsumption(
% 10.54/10.97  clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide( 
% 10.54/10.97    divide( X, Z ), Y ) ) ] )
% 10.54/10.97  , clause( 15692, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), 
% 10.54/10.97    divide( divide( X, Z ), Y ) ) ] )
% 10.54/10.97  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 10.54/10.97    permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  subsumption(
% 10.54/10.97  clause( 4, [ 'less_equal'( zero, X ) ] )
% 10.54/10.97  , clause( 15693, [ 'less_equal'( zero, X ) ] )
% 10.54/10.97  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  subsumption(
% 10.54/10.97  clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 10.54/10.97     ) ] )
% 10.54/10.97  , clause( 15694, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), 
% 10.54/10.97    =( X, Y ) ] )
% 10.54/10.97  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.54/10.97     ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  subsumption(
% 10.54/10.97  clause( 6, [ 'less_equal'( X, identity ) ] )
% 10.54/10.97  , clause( 15695, [ 'less_equal'( X, identity ) ] )
% 10.54/10.97  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  eqswap(
% 10.54/10.97  clause( 15715, [ ~( =( divide( divide( identity, a ), divide( identity, 
% 10.54/10.97    divide( identity, a ) ) ), divide( identity, a ) ) ) ] )
% 10.54/10.97  , clause( 15696, [ ~( =( divide( identity, a ), divide( divide( identity, a
% 10.54/10.97     ), divide( identity, divide( identity, a ) ) ) ) ) ] )
% 10.54/10.97  , 0, substitution( 0, [] )).
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  subsumption(
% 10.54/10.97  clause( 7, [ ~( =( divide( divide( identity, a ), divide( identity, divide( 
% 10.54/10.97    identity, a ) ) ), divide( identity, a ) ) ) ] )
% 10.54/10.97  , clause( 15715, [ ~( =( divide( divide( identity, a ), divide( identity, 
% 10.54/10.97    divide( identity, a ) ) ), divide( identity, a ) ) ) ] )
% 10.54/10.97  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  eqswap(
% 10.54/10.97  clause( 15716, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 10.54/10.97  , clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 10.54/10.97  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  resolution(
% 10.54/10.97  clause( 15717, [ =( zero, divide( divide( X, Y ), X ) ) ] )
% 10.54/10.97  , clause( 15716, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ]
% 10.54/10.97     )
% 10.54/10.97  , 1, clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 10.54/10.97  , 0, substitution( 0, [ :=( X, divide( X, Y ) ), :=( Y, X )] ), 
% 10.54/10.97    substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  eqswap(
% 10.54/10.97  clause( 15718, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 10.54/10.97  , clause( 15717, [ =( zero, divide( divide( X, Y ), X ) ) ] )
% 10.54/10.97  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  subsumption(
% 10.54/10.97  clause( 8, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 10.54/10.97  , clause( 15718, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 10.54/10.97  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 10.54/10.97     )] ) ).
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  eqswap(
% 10.54/10.97  clause( 15719, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 10.54/10.97  , clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 10.54/10.97  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  resolution(
% 10.54/10.97  clause( 15720, [ =( zero, divide( zero, X ) ) ] )
% 10.54/10.97  , clause( 15719, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ]
% 10.54/10.97     )
% 10.54/10.97  , 1, clause( 4, [ 'less_equal'( zero, X ) ] )
% 10.54/10.97  , 0, substitution( 0, [ :=( X, zero ), :=( Y, X )] ), substitution( 1, [ 
% 10.54/10.97    :=( X, X )] )).
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  eqswap(
% 10.54/10.97  clause( 15721, [ =( divide( zero, X ), zero ) ] )
% 10.54/10.97  , clause( 15720, [ =( zero, divide( zero, X ) ) ] )
% 10.54/10.97  , 0, substitution( 0, [ :=( X, X )] )).
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  subsumption(
% 10.54/10.97  clause( 9, [ =( divide( zero, X ), zero ) ] )
% 10.54/10.97  , clause( 15721, [ =( divide( zero, X ), zero ) ] )
% 10.54/10.97  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  eqswap(
% 10.54/10.97  clause( 15722, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 10.54/10.97  , clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 10.54/10.97  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 10.54/10.97  
% 10.54/10.97  
% 10.54/10.97  resolution(
% 10.54/10.97  clause( 15723, [ =( zero, divide( X, identity ) ) ] )
% 10.54/10.97  , clause( 15722, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ]
% 10.54/10.97     )
% 10.54/10.97  , 1, clause( 6, [ 'less_equal'( X, identity ) ] )
% 10.54/10.97  , 0, substitution( 0, [ :=( X, X ), :=( Y, identity )] ), substitution( 1
% 10.54/10.98    , [ :=( X, X )] )).
% 10.54/10.98  
% 10.54/10.98  
% 10.54/10.98  eqswap(
% 10.54/10.98  clause( 15724, [ =( divide( X, identity ), zero ) ] )
% 10.54/10.98  , clause( 15723, [ =( zero, divide( X, identity ) ) ] )
% 10.54/10.98  , 0, substitution( 0, [ :=( X, X )] )).
% 10.54/10.98  
% 10.54/10.98  
% 10.54/10.98  subsumption(
% 10.54/10.98  clause( 10, [ =( divide( X, identity ), zero ) ] )
% 10.54/10.98  , clause( 15724, [ =( divide( X, identity ), zero ) ] )
% 10.54/10.98  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 10.54/10.98  
% 10.54/10.98  
% 10.54/10.98  paramod(
% 10.54/10.98  clause( 15729, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), 
% 10.54/10.98    zero ), ~( 'less_equal'( divide( X, Z ), Y ) ) ] )
% 10.54/10.98  , clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 10.54/10.98  , 1, clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), 
% 10.54/10.98    divide( divide( X, Z ), Y ) ) ] )
% 10.54/10.98  , 0, 8, substitution( 0, [ :=( X, divide( X, Z ) ), :=( Y, Y )] ), 
% 10.54/10.98    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.54/10.98  
% 10.54/10.98  
% 10.54/10.98  subsumption(
% 10.54/10.98  clause( 13, [ 'less_equal'( divide( divide( X, Z ), divide( Y, Z ) ), zero
% 10.54/10.98     ), ~( 'less_equal'( divide( X, Y ), Z ) ) ] )
% 10.54/10.98  , clause( 15729, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), 
% 10.54/10.98    zero ), ~( 'less_equal'( divide( X, Z ), Y ) ) ] )
% 10.54/10.98  , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ), 
% 10.54/10.98    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 10.54/10.98  
% 10.54/10.98  
% 10.54/10.98  paramod(
% 10.54/10.98  clause( 15779, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), 
% 10.54/10.98    divide( zero, Y ) ), ~( 'less_equal'( X, Z ) ) ] )
% 10.54/10.98  , clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 10.54/10.98  , 1, clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), 
% 10.54/10.98    divide( divide( X, Z ), Y ) ) ] )
% 10.54/10.98  , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Z )] ), substitution( 1, [ 
% 10.54/10.98    :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 10.54/10.98  
% 10.54/10.98  
% 10.54/10.98  paramod(
% 10.54/10.98  clause( 15824, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), 
% 10.54/10.98    zero ), ~( 'less_equal'( X, Z ) ) ] )
% 10.54/10.98  , clause( 9, [ =( divide( zero, X ), zero ) ] )
% 10.54/10.98  , 0, clause( 15779, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y )
% 10.54/10.98     ), divide( zero, Y ) ), ~( 'less_equal'( X, Z ) ) ] )
% 10.54/10.98  , 0, 8, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ), 
% 10.54/10.98    :=( Y, Y ), :=( Z, Z )] )).
% 10.54/10.98  
% 10.54/10.98  
% 10.54/10.98  subsumption(
% 10.54/10.98  clause( 14, [ ~( 'less_equal'( X, Y ) ), 'less_equal'( divide( divide( X, Z
% 10.54/10.98     ), divide( Y, Z ) ), zero ) ] )
% 10.54/10.98  , clause( 15824, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), 
% 10.54/10.98    zero ), ~( 'less_equal'( X, Z ) ) ] )
% 10.54/10.98  , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ), 
% 10.54/10.98    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 10.54/10.98  
% 10.54/10.98  
% 10.54/10.98  paramod(
% 10.54/10.98  clause( 15827, [ 'less_equal'( divide( divide( X, Y ), zero ), divide( 
% 10.54/10.98    divide( X, zero ), Y ) ) ] )
% 10.54/10.98  , clause( 9, [ =( divide( zero, X ), zero ) ] )
% 10.54/10.98  , 0, clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), 
% 10.54/10.98    divide( divide( X, Z ), Y ) ) ] )
% 10.54/10.98  , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ), 
% 10.54/10.98    :=( Y, Y ), :=( Z, zero )] )).
% 10.54/10.98  
% 10.54/10.98  
% 10.54/10.98  subsumption(
% 10.54/10.98  clause( 15, [ 'less_equal'( divide( divide( Y, X ), zero ), divide( divide( 
% 10.54/10.98    Y, zero ), X ) ) ] )
% 10.54/10.98  , clause( 15827, [ 'less_equal'( divide( divide( X, Y ), zero ), divide( 
% 10.54/10.98    divide( X, zero ), Y ) ) ] )
% 10.54/10.98  , substitutionCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------