TSTP Solution File: HEN008-3 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : HEN008-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n012.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 12:47:08 EDT 2022

% Result   : Unsatisfiable 0.65s 1.06s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : HEN008-3 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.11  % Command  : bliksem %s
% 0.12/0.32  % Computer : n012.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % DateTime : Fri Jul  1 13:05:02 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.65/1.06  *** allocated 10000 integers for termspace/termends
% 0.65/1.06  *** allocated 10000 integers for clauses
% 0.65/1.06  *** allocated 10000 integers for justifications
% 0.65/1.06  Bliksem 1.12
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  Automatic Strategy Selection
% 0.65/1.06  
% 0.65/1.06  Clauses:
% 0.65/1.06  [
% 0.65/1.06     [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ],
% 0.65/1.06     [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ],
% 0.65/1.06     [ 'less_equal'( divide( X, Y ), X ) ],
% 0.65/1.06     [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide( divide( 
% 0.65/1.06    X, Z ), Y ) ) ],
% 0.65/1.06     [ 'less_equal'( zero, X ) ],
% 0.65/1.06     [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y ) ],
% 0.65/1.06     [ 'less_equal'( X, identity ) ],
% 0.65/1.06     [ 'less_equal'( a, b ) ],
% 0.65/1.06     [ ~( 'less_equal'( divide( a, c ), divide( b, c ) ) ) ]
% 0.65/1.06  ] .
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  percentage equality = 0.230769, percentage horn = 1.000000
% 0.65/1.06  This is a problem with some equality
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  Options Used:
% 0.65/1.06  
% 0.65/1.06  useres =            1
% 0.65/1.06  useparamod =        1
% 0.65/1.06  useeqrefl =         1
% 0.65/1.06  useeqfact =         1
% 0.65/1.06  usefactor =         1
% 0.65/1.06  usesimpsplitting =  0
% 0.65/1.06  usesimpdemod =      5
% 0.65/1.06  usesimpres =        3
% 0.65/1.06  
% 0.65/1.06  resimpinuse      =  1000
% 0.65/1.06  resimpclauses =     20000
% 0.65/1.06  substype =          eqrewr
% 0.65/1.06  backwardsubs =      1
% 0.65/1.06  selectoldest =      5
% 0.65/1.06  
% 0.65/1.06  litorderings [0] =  split
% 0.65/1.06  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.65/1.06  
% 0.65/1.06  termordering =      kbo
% 0.65/1.06  
% 0.65/1.06  litapriori =        0
% 0.65/1.06  termapriori =       1
% 0.65/1.06  litaposteriori =    0
% 0.65/1.06  termaposteriori =   0
% 0.65/1.06  demodaposteriori =  0
% 0.65/1.06  ordereqreflfact =   0
% 0.65/1.06  
% 0.65/1.06  litselect =         negord
% 0.65/1.06  
% 0.65/1.06  maxweight =         15
% 0.65/1.06  maxdepth =          30000
% 0.65/1.06  maxlength =         115
% 0.65/1.06  maxnrvars =         195
% 0.65/1.06  excuselevel =       1
% 0.65/1.06  increasemaxweight = 1
% 0.65/1.06  
% 0.65/1.06  maxselected =       10000000
% 0.65/1.06  maxnrclauses =      10000000
% 0.65/1.06  
% 0.65/1.06  showgenerated =    0
% 0.65/1.06  showkept =         0
% 0.65/1.06  showselected =     0
% 0.65/1.06  showdeleted =      0
% 0.65/1.06  showresimp =       1
% 0.65/1.06  showstatus =       2000
% 0.65/1.06  
% 0.65/1.06  prologoutput =     1
% 0.65/1.06  nrgoals =          5000000
% 0.65/1.06  totalproof =       1
% 0.65/1.06  
% 0.65/1.06  Symbols occurring in the translation:
% 0.65/1.06  
% 0.65/1.06  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.65/1.06  .  [1, 2]      (w:1, o:22, a:1, s:1, b:0), 
% 0.65/1.06  !  [4, 1]      (w:0, o:17, a:1, s:1, b:0), 
% 0.65/1.06  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.65/1.06  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.65/1.06  'less_equal'  [41, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.65/1.06  divide  [42, 2]      (w:1, o:48, a:1, s:1, b:0), 
% 0.65/1.06  zero  [43, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.65/1.06  identity  [45, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.65/1.06  a  [46, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.65/1.06  b  [47, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.65/1.06  c  [48, 0]      (w:1, o:16, a:1, s:1, b:0).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  Starting Search:
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  Bliksems!, er is een bewijs:
% 0.65/1.06  % SZS status Unsatisfiable
% 0.65/1.06  % SZS output start Refutation
% 0.65/1.06  
% 0.65/1.06  clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.65/1.06  .
% 0.65/1.06  clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.65/1.06  .
% 0.65/1.06  clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide( 
% 0.65/1.06    divide( X, Z ), Y ) ) ] )
% 0.65/1.06  .
% 0.65/1.06  clause( 4, [ 'less_equal'( zero, X ) ] )
% 0.65/1.06  .
% 0.65/1.06  clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 0.65/1.06     ) ] )
% 0.65/1.06  .
% 0.65/1.06  clause( 7, [ 'less_equal'( a, b ) ] )
% 0.65/1.06  .
% 0.65/1.06  clause( 8, [ ~( 'less_equal'( divide( a, c ), divide( b, c ) ) ) ] )
% 0.65/1.06  .
% 0.65/1.06  clause( 10, [ =( divide( a, b ), zero ) ] )
% 0.65/1.06  .
% 0.65/1.06  clause( 11, [ =( divide( zero, X ), zero ) ] )
% 0.65/1.06  .
% 0.65/1.06  clause( 16, [ ~( =( divide( divide( a, c ), divide( b, c ) ), zero ) ) ] )
% 0.65/1.06  .
% 0.65/1.06  clause( 22, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 0.65/1.06  .
% 0.65/1.06  clause( 62, [ 'less_equal'( divide( divide( a, X ), divide( b, X ) ), zero
% 0.65/1.06     ) ] )
% 0.65/1.06  .
% 0.65/1.06  clause( 254, [] )
% 0.65/1.06  .
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  % SZS output end Refutation
% 0.65/1.06  found a proof!
% 0.65/1.06  
% 0.65/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.65/1.06  
% 0.65/1.06  initialclauses(
% 0.65/1.06  [ clause( 256, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.65/1.06  , clause( 257, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.65/1.06  , clause( 258, [ 'less_equal'( divide( X, Y ), X ) ] )
% 0.65/1.06  , clause( 259, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), 
% 0.65/1.06    divide( divide( X, Z ), Y ) ) ] )
% 0.65/1.06  , clause( 260, [ 'less_equal'( zero, X ) ] )
% 0.65/1.06  , clause( 261, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X
% 0.65/1.06    , Y ) ] )
% 0.65/1.06  , clause( 262, [ 'less_equal'( X, identity ) ] )
% 0.65/1.06  , clause( 263, [ 'less_equal'( a, b ) ] )
% 0.65/1.06  , clause( 264, [ ~( 'less_equal'( divide( a, c ), divide( b, c ) ) ) ] )
% 0.65/1.06  ] ).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  subsumption(
% 0.65/1.06  clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.65/1.06  , clause( 256, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.65/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.65/1.06     ), ==>( 1, 1 )] ) ).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  subsumption(
% 0.65/1.06  clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.65/1.06  , clause( 257, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.65/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.65/1.06     ), ==>( 1, 1 )] ) ).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  subsumption(
% 0.65/1.06  clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide( 
% 0.65/1.06    divide( X, Z ), Y ) ) ] )
% 0.65/1.06  , clause( 259, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), 
% 0.65/1.06    divide( divide( X, Z ), Y ) ) ] )
% 0.65/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.65/1.06    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  subsumption(
% 0.65/1.06  clause( 4, [ 'less_equal'( zero, X ) ] )
% 0.65/1.06  , clause( 260, [ 'less_equal'( zero, X ) ] )
% 0.65/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  subsumption(
% 0.65/1.06  clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 0.65/1.06     ) ] )
% 0.65/1.06  , clause( 261, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X
% 0.65/1.06    , Y ) ] )
% 0.65/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.65/1.06     ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  subsumption(
% 0.65/1.06  clause( 7, [ 'less_equal'( a, b ) ] )
% 0.65/1.06  , clause( 263, [ 'less_equal'( a, b ) ] )
% 0.65/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  subsumption(
% 0.65/1.06  clause( 8, [ ~( 'less_equal'( divide( a, c ), divide( b, c ) ) ) ] )
% 0.65/1.06  , clause( 264, [ ~( 'less_equal'( divide( a, c ), divide( b, c ) ) ) ] )
% 0.65/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  eqswap(
% 0.65/1.06  clause( 281, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 0.65/1.06  , clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.65/1.06  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  resolution(
% 0.65/1.06  clause( 282, [ =( zero, divide( a, b ) ) ] )
% 0.65/1.06  , clause( 281, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 0.65/1.06  , 1, clause( 7, [ 'less_equal'( a, b ) ] )
% 0.65/1.06  , 0, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.65/1.06    ).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  eqswap(
% 0.65/1.06  clause( 283, [ =( divide( a, b ), zero ) ] )
% 0.65/1.06  , clause( 282, [ =( zero, divide( a, b ) ) ] )
% 0.65/1.06  , 0, substitution( 0, [] )).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  subsumption(
% 0.65/1.06  clause( 10, [ =( divide( a, b ), zero ) ] )
% 0.65/1.06  , clause( 283, [ =( divide( a, b ), zero ) ] )
% 0.65/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  eqswap(
% 0.65/1.06  clause( 284, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 0.65/1.06  , clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.65/1.06  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  resolution(
% 0.65/1.06  clause( 285, [ =( zero, divide( zero, X ) ) ] )
% 0.65/1.06  , clause( 284, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 0.65/1.06  , 1, clause( 4, [ 'less_equal'( zero, X ) ] )
% 0.65/1.06  , 0, substitution( 0, [ :=( X, zero ), :=( Y, X )] ), substitution( 1, [ 
% 0.65/1.06    :=( X, X )] )).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  eqswap(
% 0.65/1.06  clause( 286, [ =( divide( zero, X ), zero ) ] )
% 0.65/1.06  , clause( 285, [ =( zero, divide( zero, X ) ) ] )
% 0.65/1.06  , 0, substitution( 0, [ :=( X, X )] )).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  subsumption(
% 0.65/1.06  clause( 11, [ =( divide( zero, X ), zero ) ] )
% 0.65/1.06  , clause( 286, [ =( divide( zero, X ), zero ) ] )
% 0.65/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  eqswap(
% 0.65/1.06  clause( 287, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ] )
% 0.65/1.06  , clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.65/1.06  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  resolution(
% 0.65/1.06  clause( 288, [ ~( =( zero, divide( divide( a, c ), divide( b, c ) ) ) ) ]
% 0.65/1.06     )
% 0.65/1.06  , clause( 8, [ ~( 'less_equal'( divide( a, c ), divide( b, c ) ) ) ] )
% 0.65/1.06  , 0, clause( 287, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ]
% 0.65/1.06     )
% 0.65/1.06  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, divide( a, c ) ), 
% 0.65/1.06    :=( Y, divide( b, c ) )] )).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  eqswap(
% 0.65/1.06  clause( 289, [ ~( =( divide( divide( a, c ), divide( b, c ) ), zero ) ) ]
% 0.65/1.06     )
% 0.65/1.06  , clause( 288, [ ~( =( zero, divide( divide( a, c ), divide( b, c ) ) ) ) ]
% 0.65/1.06     )
% 0.65/1.06  , 0, substitution( 0, [] )).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  subsumption(
% 0.65/1.06  clause( 16, [ ~( =( divide( divide( a, c ), divide( b, c ) ), zero ) ) ] )
% 0.65/1.06  , clause( 289, [ ~( =( divide( divide( a, c ), divide( b, c ) ), zero ) ) ]
% 0.65/1.06     )
% 0.65/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  resolution(
% 0.65/1.06  clause( 290, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 0.65/1.06  , clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, 
% 0.65/1.06    Y ) ] )
% 0.65/1.06  , 0, clause( 4, [ 'less_equal'( zero, X ) ] )
% 0.65/1.06  , 0, substitution( 0, [ :=( X, zero ), :=( Y, X )] ), substitution( 1, [ 
% 0.65/1.06    :=( X, X )] )).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  subsumption(
% 0.65/1.06  clause( 22, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 0.65/1.06  , clause( 290, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 0.65/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.65/1.06    1 )] ) ).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  paramod(
% 0.65/1.06  clause( 296, [ 'less_equal'( divide( divide( a, X ), divide( b, X ) ), 
% 0.65/1.06    divide( zero, X ) ) ] )
% 0.65/1.06  , clause( 10, [ =( divide( a, b ), zero ) ] )
% 0.65/1.06  , 0, clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), 
% 0.65/1.06    divide( divide( X, Z ), Y ) ) ] )
% 0.65/1.06  , 0, 9, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, X ), 
% 0.65/1.06    :=( Z, b )] )).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  paramod(
% 0.65/1.06  clause( 297, [ 'less_equal'( divide( divide( a, X ), divide( b, X ) ), zero
% 0.65/1.06     ) ] )
% 0.65/1.06  , clause( 11, [ =( divide( zero, X ), zero ) ] )
% 0.65/1.06  , 0, clause( 296, [ 'less_equal'( divide( divide( a, X ), divide( b, X ) )
% 0.65/1.06    , divide( zero, X ) ) ] )
% 0.65/1.06  , 0, 8, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.65/1.06    ).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  subsumption(
% 0.65/1.06  clause( 62, [ 'less_equal'( divide( divide( a, X ), divide( b, X ) ), zero
% 0.65/1.06     ) ] )
% 0.65/1.06  , clause( 297, [ 'less_equal'( divide( divide( a, X ), divide( b, X ) ), 
% 0.65/1.06    zero ) ] )
% 0.65/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  eqswap(
% 0.65/1.06  clause( 298, [ =( X, zero ), ~( 'less_equal'( X, zero ) ) ] )
% 0.65/1.06  , clause( 22, [ ~( 'less_equal'( X, zero ) ), =( zero, X ) ] )
% 0.65/1.06  , 1, substitution( 0, [ :=( X, X )] )).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  eqswap(
% 0.65/1.06  clause( 299, [ ~( =( zero, divide( divide( a, c ), divide( b, c ) ) ) ) ]
% 0.65/1.06     )
% 0.65/1.06  , clause( 16, [ ~( =( divide( divide( a, c ), divide( b, c ) ), zero ) ) ]
% 0.65/1.06     )
% 0.65/1.06  , 0, substitution( 0, [] )).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  paramod(
% 0.65/1.06  clause( 301, [ ~( =( zero, zero ) ), ~( 'less_equal'( divide( divide( a, c
% 0.65/1.06     ), divide( b, c ) ), zero ) ) ] )
% 0.65/1.06  , clause( 298, [ =( X, zero ), ~( 'less_equal'( X, zero ) ) ] )
% 0.65/1.06  , 0, clause( 299, [ ~( =( zero, divide( divide( a, c ), divide( b, c ) ) )
% 0.65/1.06     ) ] )
% 0.65/1.06  , 0, 3, substitution( 0, [ :=( X, divide( divide( a, c ), divide( b, c ) )
% 0.65/1.06     )] ), substitution( 1, [] )).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  eqrefl(
% 0.65/1.06  clause( 433, [ ~( 'less_equal'( divide( divide( a, c ), divide( b, c ) ), 
% 0.65/1.06    zero ) ) ] )
% 0.65/1.06  , clause( 301, [ ~( =( zero, zero ) ), ~( 'less_equal'( divide( divide( a, 
% 0.65/1.06    c ), divide( b, c ) ), zero ) ) ] )
% 0.65/1.06  , 0, substitution( 0, [] )).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  resolution(
% 0.65/1.06  clause( 434, [] )
% 0.65/1.06  , clause( 433, [ ~( 'less_equal'( divide( divide( a, c ), divide( b, c ) )
% 0.65/1.06    , zero ) ) ] )
% 0.65/1.06  , 0, clause( 62, [ 'less_equal'( divide( divide( a, X ), divide( b, X ) ), 
% 0.65/1.06    zero ) ] )
% 0.65/1.06  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, c )] )).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  subsumption(
% 0.65/1.06  clause( 254, [] )
% 0.65/1.06  , clause( 434, [] )
% 0.65/1.06  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  end.
% 0.65/1.06  
% 0.65/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.65/1.06  
% 0.65/1.06  Memory use:
% 0.65/1.06  
% 0.65/1.06  space for terms:        3341
% 0.65/1.06  space for clauses:      14257
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  clauses generated:      885
% 0.65/1.06  clauses kept:           255
% 0.65/1.06  clauses selected:       41
% 0.65/1.06  clauses deleted:        2
% 0.65/1.06  clauses inuse deleted:  0
% 0.65/1.06  
% 0.65/1.06  subsentry:          2098
% 0.65/1.06  literals s-matched: 1253
% 0.65/1.06  literals matched:   1252
% 0.65/1.06  full subsumption:   105
% 0.65/1.06  
% 0.65/1.06  checksum:           2127899908
% 0.65/1.06  
% 0.65/1.06  
% 0.65/1.06  Bliksem ended
%------------------------------------------------------------------------------