TSTP Solution File: HEN007-3 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : HEN007-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n017.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 12:47:06 EDT 2022

% Result   : Unsatisfiable 1.90s 2.27s
% Output   : Refutation 1.90s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : HEN007-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Fri Jul  1 14:10:54 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.90/2.27  *** allocated 10000 integers for termspace/termends
% 1.90/2.27  *** allocated 10000 integers for clauses
% 1.90/2.27  *** allocated 10000 integers for justifications
% 1.90/2.27  Bliksem 1.12
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  Automatic Strategy Selection
% 1.90/2.27  
% 1.90/2.27  Clauses:
% 1.90/2.27  [
% 1.90/2.27     [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ],
% 1.90/2.27     [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ],
% 1.90/2.27     [ 'less_equal'( divide( X, Y ), X ) ],
% 1.90/2.27     [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide( divide( 
% 1.90/2.27    X, Z ), Y ) ) ],
% 1.90/2.27     [ 'less_equal'( zero, X ) ],
% 1.90/2.27     [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y ) ],
% 1.90/2.27     [ 'less_equal'( X, identity ) ],
% 1.90/2.27     [ 'less_equal'( a, b ) ],
% 1.90/2.27     [ ~( 'less_equal'( divide( c, b ), divide( c, a ) ) ) ]
% 1.90/2.27  ] .
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  percentage equality = 0.230769, percentage horn = 1.000000
% 1.90/2.27  This is a problem with some equality
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  Options Used:
% 1.90/2.27  
% 1.90/2.27  useres =            1
% 1.90/2.27  useparamod =        1
% 1.90/2.27  useeqrefl =         1
% 1.90/2.27  useeqfact =         1
% 1.90/2.27  usefactor =         1
% 1.90/2.27  usesimpsplitting =  0
% 1.90/2.27  usesimpdemod =      5
% 1.90/2.27  usesimpres =        3
% 1.90/2.27  
% 1.90/2.27  resimpinuse      =  1000
% 1.90/2.27  resimpclauses =     20000
% 1.90/2.27  substype =          eqrewr
% 1.90/2.27  backwardsubs =      1
% 1.90/2.27  selectoldest =      5
% 1.90/2.27  
% 1.90/2.27  litorderings [0] =  split
% 1.90/2.27  litorderings [1] =  extend the termordering, first sorting on arguments
% 1.90/2.27  
% 1.90/2.27  termordering =      kbo
% 1.90/2.27  
% 1.90/2.27  litapriori =        0
% 1.90/2.27  termapriori =       1
% 1.90/2.27  litaposteriori =    0
% 1.90/2.27  termaposteriori =   0
% 1.90/2.27  demodaposteriori =  0
% 1.90/2.27  ordereqreflfact =   0
% 1.90/2.27  
% 1.90/2.27  litselect =         negord
% 1.90/2.27  
% 1.90/2.27  maxweight =         15
% 1.90/2.27  maxdepth =          30000
% 1.90/2.27  maxlength =         115
% 1.90/2.27  maxnrvars =         195
% 1.90/2.27  excuselevel =       1
% 1.90/2.27  increasemaxweight = 1
% 1.90/2.27  
% 1.90/2.27  maxselected =       10000000
% 1.90/2.27  maxnrclauses =      10000000
% 1.90/2.27  
% 1.90/2.27  showgenerated =    0
% 1.90/2.27  showkept =         0
% 1.90/2.27  showselected =     0
% 1.90/2.27  showdeleted =      0
% 1.90/2.27  showresimp =       1
% 1.90/2.27  showstatus =       2000
% 1.90/2.27  
% 1.90/2.27  prologoutput =     1
% 1.90/2.27  nrgoals =          5000000
% 1.90/2.27  totalproof =       1
% 1.90/2.27  
% 1.90/2.27  Symbols occurring in the translation:
% 1.90/2.27  
% 1.90/2.27  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.90/2.27  .  [1, 2]      (w:1, o:22, a:1, s:1, b:0), 
% 1.90/2.27  !  [4, 1]      (w:0, o:17, a:1, s:1, b:0), 
% 1.90/2.27  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.90/2.27  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.90/2.27  'less_equal'  [41, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 1.90/2.27  divide  [42, 2]      (w:1, o:48, a:1, s:1, b:0), 
% 1.90/2.27  zero  [43, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 1.90/2.27  identity  [45, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 1.90/2.27  a  [46, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 1.90/2.27  b  [47, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 1.90/2.27  c  [48, 0]      (w:1, o:16, a:1, s:1, b:0).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  Starting Search:
% 1.90/2.27  
% 1.90/2.27  Resimplifying inuse:
% 1.90/2.27  Done
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  Intermediate Status:
% 1.90/2.27  Generated:    18705
% 1.90/2.27  Kept:         2012
% 1.90/2.27  Inuse:        188
% 1.90/2.27  Deleted:      21
% 1.90/2.27  Deletedinuse: 1
% 1.90/2.27  
% 1.90/2.27  Resimplifying inuse:
% 1.90/2.27  Done
% 1.90/2.27  
% 1.90/2.27  Resimplifying inuse:
% 1.90/2.27  Done
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  Intermediate Status:
% 1.90/2.27  Generated:    51095
% 1.90/2.27  Kept:         4018
% 1.90/2.27  Inuse:        315
% 1.90/2.27  Deleted:      86
% 1.90/2.27  Deletedinuse: 36
% 1.90/2.27  
% 1.90/2.27  Resimplifying inuse:
% 1.90/2.27  Done
% 1.90/2.27  
% 1.90/2.27  Resimplifying inuse:
% 1.90/2.27  Done
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  Bliksems!, er is een bewijs:
% 1.90/2.27  % SZS status Unsatisfiable
% 1.90/2.27  % SZS output start Refutation
% 1.90/2.27  
% 1.90/2.27  clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide( 
% 1.90/2.27    divide( X, Z ), Y ) ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 4, [ 'less_equal'( zero, X ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 1.90/2.27     ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 7, [ 'less_equal'( a, b ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 8, [ ~( 'less_equal'( divide( c, b ), divide( c, a ) ) ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 9, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 10, [ =( divide( a, b ), zero ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 11, [ =( divide( zero, X ), zero ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 19, [ ~( 'less_equal'( X, Y ) ), =( Y, X ), ~( =( divide( Y, X ), 
% 1.90/2.27    zero ) ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 22, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 43, [ ~( 'less_equal'( divide( c, b ), divide( c, X ) ) ), ~( 
% 1.90/2.27    'less_equal'( a, X ) ), ~( 'less_equal'( X, a ) ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 47, [ 'less_equal'( X, Y ), ~( 'less_equal'( X, zero ) ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 51, [ ~( 'less_equal'( divide( divide( X, Y ), Z ), divide( divide( 
% 1.90/2.27    X, Z ), divide( Y, Z ) ) ) ), =( divide( divide( X, Z ), divide( Y, Z ) )
% 1.90/2.27    , divide( divide( X, Y ), Z ) ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 58, [ 'less_equal'( divide( divide( Z, X ), zero ), divide( divide( 
% 1.90/2.27    Z, divide( X, Y ) ), X ) ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 61, [ 'less_equal'( divide( divide( X, b ), zero ), divide( divide( 
% 1.90/2.27    X, a ), b ) ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 64, [ 'less_equal'( divide( divide( Y, X ), zero ), divide( divide( 
% 1.90/2.27    Y, zero ), X ) ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 74, [ 'less_equal'( X, Y ), ~( =( divide( X, zero ), zero ) ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 131, [ =( divide( X, Y ), X ), ~( =( divide( X, divide( X, Y ) ), 
% 1.90/2.27    zero ) ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 740, [ 'less_equal'( X, Y ), ~( 'less_equal'( divide( X, zero ), 
% 1.90/2.27    zero ) ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 766, [ ~( 'less_equal'( divide( X, zero ), zero ) ), =( zero, X ) ]
% 1.90/2.27     )
% 1.90/2.27  .
% 1.90/2.27  clause( 1423, [ =( divide( divide( divide( X, Y ), Z ), divide( X, Z ) ), 
% 1.90/2.27    zero ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 1903, [ 'less_equal'( divide( divide( X, X ), zero ), zero ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 1914, [ =( divide( X, X ), zero ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 1915, [ 'less_equal'( X, X ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 2103, [ 'less_equal'( divide( divide( X, divide( X, zero ) ), zero
% 1.90/2.27     ), zero ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 4061, [ =( divide( X, divide( X, zero ) ), zero ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 4066, [ =( divide( X, zero ), X ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 4087, [ 'less_equal'( divide( X, b ), divide( divide( X, a ), b ) )
% 1.90/2.27     ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 5201, [ =( divide( divide( X, a ), b ), divide( X, b ) ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 5326, [ 'less_equal'( divide( X, b ), divide( X, a ) ) ] )
% 1.90/2.27  .
% 1.90/2.27  clause( 5328, [] )
% 1.90/2.27  .
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  % SZS output end Refutation
% 1.90/2.27  found a proof!
% 1.90/2.27  
% 1.90/2.27  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.90/2.27  
% 1.90/2.27  initialclauses(
% 1.90/2.27  [ clause( 5330, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 1.90/2.27  , clause( 5331, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 1.90/2.27  , clause( 5332, [ 'less_equal'( divide( X, Y ), X ) ] )
% 1.90/2.27  , clause( 5333, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), 
% 1.90/2.27    divide( divide( X, Z ), Y ) ) ] )
% 1.90/2.27  , clause( 5334, [ 'less_equal'( zero, X ) ] )
% 1.90/2.27  , clause( 5335, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( 
% 1.90/2.27    X, Y ) ] )
% 1.90/2.27  , clause( 5336, [ 'less_equal'( X, identity ) ] )
% 1.90/2.27  , clause( 5337, [ 'less_equal'( a, b ) ] )
% 1.90/2.27  , clause( 5338, [ ~( 'less_equal'( divide( c, b ), divide( c, a ) ) ) ] )
% 1.90/2.27  ] ).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  subsumption(
% 1.90/2.27  clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 1.90/2.27  , clause( 5330, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 1.90/2.27  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.90/2.27     ), ==>( 1, 1 )] ) ).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  subsumption(
% 1.90/2.27  clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 1.90/2.27  , clause( 5331, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 1.90/2.27  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.90/2.27     ), ==>( 1, 1 )] ) ).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  subsumption(
% 1.90/2.27  clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 1.90/2.27  , clause( 5332, [ 'less_equal'( divide( X, Y ), X ) ] )
% 1.90/2.27  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.90/2.27     )] ) ).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  subsumption(
% 1.90/2.27  clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide( 
% 1.90/2.27    divide( X, Z ), Y ) ) ] )
% 1.90/2.27  , clause( 5333, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), 
% 1.90/2.27    divide( divide( X, Z ), Y ) ) ] )
% 1.90/2.27  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 1.90/2.27    permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  subsumption(
% 1.90/2.27  clause( 4, [ 'less_equal'( zero, X ) ] )
% 1.90/2.27  , clause( 5334, [ 'less_equal'( zero, X ) ] )
% 1.90/2.27  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  subsumption(
% 1.90/2.27  clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 1.90/2.27     ) ] )
% 1.90/2.27  , clause( 5335, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( 
% 1.90/2.27    X, Y ) ] )
% 1.90/2.27  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.90/2.27     ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  subsumption(
% 1.90/2.27  clause( 7, [ 'less_equal'( a, b ) ] )
% 1.90/2.27  , clause( 5337, [ 'less_equal'( a, b ) ] )
% 1.90/2.27  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  subsumption(
% 1.90/2.27  clause( 8, [ ~( 'less_equal'( divide( c, b ), divide( c, a ) ) ) ] )
% 1.90/2.27  , clause( 5338, [ ~( 'less_equal'( divide( c, b ), divide( c, a ) ) ) ] )
% 1.90/2.27  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  eqswap(
% 1.90/2.27  clause( 5357, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 1.90/2.27  , clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 1.90/2.27  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  resolution(
% 1.90/2.27  clause( 5358, [ =( zero, divide( divide( X, Y ), X ) ) ] )
% 1.90/2.27  , clause( 5357, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 1.90/2.27  , 1, clause( 2, [ 'less_equal'( divide( X, Y ), X ) ] )
% 1.90/2.27  , 0, substitution( 0, [ :=( X, divide( X, Y ) ), :=( Y, X )] ), 
% 1.90/2.27    substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  eqswap(
% 1.90/2.27  clause( 5359, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 1.90/2.27  , clause( 5358, [ =( zero, divide( divide( X, Y ), X ) ) ] )
% 1.90/2.27  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  subsumption(
% 1.90/2.27  clause( 9, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 1.90/2.27  , clause( 5359, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 1.90/2.27  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.90/2.27     )] ) ).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  eqswap(
% 1.90/2.27  clause( 5360, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 1.90/2.27  , clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 1.90/2.27  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  resolution(
% 1.90/2.27  clause( 5361, [ =( zero, divide( a, b ) ) ] )
% 1.90/2.27  , clause( 5360, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 1.90/2.27  , 1, clause( 7, [ 'less_equal'( a, b ) ] )
% 1.90/2.27  , 0, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 1.90/2.27    ).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  eqswap(
% 1.90/2.27  clause( 5362, [ =( divide( a, b ), zero ) ] )
% 1.90/2.27  , clause( 5361, [ =( zero, divide( a, b ) ) ] )
% 1.90/2.27  , 0, substitution( 0, [] )).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  subsumption(
% 1.90/2.27  clause( 10, [ =( divide( a, b ), zero ) ] )
% 1.90/2.27  , clause( 5362, [ =( divide( a, b ), zero ) ] )
% 1.90/2.27  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  eqswap(
% 1.90/2.27  clause( 5363, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 1.90/2.27  , clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 1.90/2.27  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  resolution(
% 1.90/2.27  clause( 5364, [ =( zero, divide( zero, X ) ) ] )
% 1.90/2.27  , clause( 5363, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 1.90/2.27  , 1, clause( 4, [ 'less_equal'( zero, X ) ] )
% 1.90/2.27  , 0, substitution( 0, [ :=( X, zero ), :=( Y, X )] ), substitution( 1, [ 
% 1.90/2.27    :=( X, X )] )).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  eqswap(
% 1.90/2.27  clause( 5365, [ =( divide( zero, X ), zero ) ] )
% 1.90/2.27  , clause( 5364, [ =( zero, divide( zero, X ) ) ] )
% 1.90/2.27  , 0, substitution( 0, [ :=( X, X )] )).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  subsumption(
% 1.90/2.27  clause( 11, [ =( divide( zero, X ), zero ) ] )
% 1.90/2.27  , clause( 5365, [ =( divide( zero, X ), zero ) ] )
% 1.90/2.27  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  eqswap(
% 1.90/2.27  clause( 5366, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ] )
% 1.90/2.27  , clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 1.90/2.27  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  resolution(
% 1.90/2.27  clause( 5368, [ ~( 'less_equal'( X, Y ) ), =( X, Y ), ~( =( zero, divide( Y
% 1.90/2.27    , X ) ) ) ] )
% 1.90/2.27  , clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, 
% 1.90/2.27    Y ) ] )
% 1.90/2.27  , 1, clause( 5366, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ]
% 1.90/2.27     )
% 1.90/2.27  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 1.90/2.27    , Y ), :=( Y, X )] )).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  eqswap(
% 1.90/2.27  clause( 5369, [ ~( =( divide( X, Y ), zero ) ), ~( 'less_equal'( Y, X ) ), 
% 1.90/2.27    =( Y, X ) ] )
% 1.90/2.27  , clause( 5368, [ ~( 'less_equal'( X, Y ) ), =( X, Y ), ~( =( zero, divide( 
% 1.90/2.27    Y, X ) ) ) ] )
% 1.90/2.27  , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  eqswap(
% 1.90/2.27  clause( 5370, [ =( Y, X ), ~( =( divide( Y, X ), zero ) ), ~( 'less_equal'( 
% 1.90/2.27    X, Y ) ) ] )
% 1.90/2.27  , clause( 5369, [ ~( =( divide( X, Y ), zero ) ), ~( 'less_equal'( Y, X ) )
% 1.90/2.27    , =( Y, X ) ] )
% 1.90/2.27  , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  subsumption(
% 1.90/2.27  clause( 19, [ ~( 'less_equal'( X, Y ) ), =( Y, X ), ~( =( divide( Y, X ), 
% 1.90/2.27    zero ) ) ] )
% 1.90/2.27  , clause( 5370, [ =( Y, X ), ~( =( divide( Y, X ), zero ) ), ~( 
% 1.90/2.27    'less_equal'( X, Y ) ) ] )
% 1.90/2.27  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.90/2.27     ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 1.90/2.27  
% 1.90/2.27  
% 1.90/2.27  resolution(
% 1.90/2.27  clause( 5371, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 1.90/2.27  , clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, 
% 1.90/2.27    Y ) ] )
% 1.90/2.27  , 0, clause( 4, [ 'less_equal'( zero, X ) ] )
% 1.90/2.27  , 0, substitution( 0, [ :=( X, zero ), :=( Y, X )] ), substitution( 1, [ 
% 1.90/2.27    :=( X,Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------