TSTP Solution File: HEN005-4 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : HEN005-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n007.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 12:47:03 EDT 2022

% Result   : Unsatisfiable 0.43s 1.10s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : HEN005-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Fri Jul  1 13:13:09 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.43/1.10  *** allocated 10000 integers for termspace/termends
% 0.43/1.10  *** allocated 10000 integers for clauses
% 0.43/1.10  *** allocated 10000 integers for justifications
% 0.43/1.10  Bliksem 1.12
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  Automatic Strategy Selection
% 0.43/1.10  
% 0.43/1.10  Clauses:
% 0.43/1.10  [
% 0.43/1.10     [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ],
% 0.43/1.10     [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ],
% 0.43/1.10     [ 'less_equal'( divide( X, Y ), X ) ],
% 0.43/1.10     [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide( divide( 
% 0.43/1.10    X, Z ), Y ) ) ],
% 0.43/1.10     [ 'less_equal'( zero, X ) ],
% 0.43/1.10     [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y ) ],
% 0.43/1.10     [ 'less_equal'( X, identity ) ],
% 0.43/1.10     [ =( divide( X, identity ), zero ) ],
% 0.43/1.10     [ =( divide( zero, X ), zero ) ],
% 0.43/1.10     [ =( divide( X, X ), zero ) ],
% 0.43/1.10     [ =( divide( X, zero ), X ) ],
% 0.43/1.10     [ 'less_equal'( a, b ) ],
% 0.43/1.10     [ 'less_equal'( b, c ) ],
% 0.43/1.10     [ ~( 'less_equal'( a, c ) ) ]
% 0.43/1.10  ] .
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  percentage equality = 0.388889, percentage horn = 1.000000
% 0.43/1.10  This is a problem with some equality
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  Options Used:
% 0.43/1.10  
% 0.43/1.10  useres =            1
% 0.43/1.10  useparamod =        1
% 0.43/1.10  useeqrefl =         1
% 0.43/1.10  useeqfact =         1
% 0.43/1.10  usefactor =         1
% 0.43/1.10  usesimpsplitting =  0
% 0.43/1.10  usesimpdemod =      5
% 0.43/1.10  usesimpres =        3
% 0.43/1.10  
% 0.43/1.10  resimpinuse      =  1000
% 0.43/1.10  resimpclauses =     20000
% 0.43/1.10  substype =          eqrewr
% 0.43/1.10  backwardsubs =      1
% 0.43/1.10  selectoldest =      5
% 0.43/1.10  
% 0.43/1.10  litorderings [0] =  split
% 0.43/1.10  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.43/1.10  
% 0.43/1.10  termordering =      kbo
% 0.43/1.10  
% 0.43/1.10  litapriori =        0
% 0.43/1.10  termapriori =       1
% 0.43/1.10  litaposteriori =    0
% 0.43/1.10  termaposteriori =   0
% 0.43/1.10  demodaposteriori =  0
% 0.43/1.10  ordereqreflfact =   0
% 0.43/1.10  
% 0.43/1.10  litselect =         negord
% 0.43/1.10  
% 0.43/1.10  maxweight =         15
% 0.43/1.10  maxdepth =          30000
% 0.43/1.10  maxlength =         115
% 0.43/1.10  maxnrvars =         195
% 0.43/1.10  excuselevel =       1
% 0.43/1.10  increasemaxweight = 1
% 0.43/1.10  
% 0.43/1.10  maxselected =       10000000
% 0.43/1.10  maxnrclauses =      10000000
% 0.43/1.10  
% 0.43/1.10  showgenerated =    0
% 0.43/1.10  showkept =         0
% 0.43/1.10  showselected =     0
% 0.43/1.10  showdeleted =      0
% 0.43/1.10  showresimp =       1
% 0.43/1.10  showstatus =       2000
% 0.43/1.10  
% 0.43/1.10  prologoutput =     1
% 0.43/1.10  nrgoals =          5000000
% 0.43/1.10  totalproof =       1
% 0.43/1.10  
% 0.43/1.10  Symbols occurring in the translation:
% 0.43/1.10  
% 0.43/1.10  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.43/1.10  .  [1, 2]      (w:1, o:22, a:1, s:1, b:0), 
% 0.43/1.10  !  [4, 1]      (w:0, o:17, a:1, s:1, b:0), 
% 0.43/1.10  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/1.10  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/1.10  'less_equal'  [41, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.43/1.10  divide  [42, 2]      (w:1, o:48, a:1, s:1, b:0), 
% 0.43/1.10  zero  [43, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.43/1.10  identity  [45, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.43/1.10  a  [46, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.43/1.10  b  [47, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.43/1.10  c  [48, 0]      (w:1, o:16, a:1, s:1, b:0).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  Starting Search:
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  Bliksems!, er is een bewijs:
% 0.43/1.10  % SZS status Unsatisfiable
% 0.43/1.10  % SZS output start Refutation
% 0.43/1.10  
% 0.43/1.10  clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.43/1.10  .
% 0.43/1.10  clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.43/1.10  .
% 0.43/1.10  clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide( 
% 0.43/1.10    divide( X, Z ), Y ) ) ] )
% 0.43/1.10  .
% 0.43/1.10  clause( 4, [ 'less_equal'( zero, X ) ] )
% 0.43/1.10  .
% 0.43/1.10  clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 0.43/1.10     ) ] )
% 0.43/1.10  .
% 0.43/1.10  clause( 8, [ =( divide( zero, X ), zero ) ] )
% 0.43/1.10  .
% 0.43/1.10  clause( 10, [ =( divide( X, zero ), X ) ] )
% 0.43/1.10  .
% 0.43/1.10  clause( 11, [ 'less_equal'( a, b ) ] )
% 0.43/1.10  .
% 0.43/1.10  clause( 12, [ 'less_equal'( b, c ) ] )
% 0.43/1.10  .
% 0.43/1.10  clause( 13, [ ~( 'less_equal'( a, c ) ) ] )
% 0.43/1.10  .
% 0.43/1.10  clause( 14, [ =( divide( a, b ), zero ) ] )
% 0.43/1.10  .
% 0.43/1.10  clause( 15, [ =( divide( b, c ), zero ) ] )
% 0.43/1.10  .
% 0.43/1.10  clause( 19, [ ~( =( divide( a, c ), zero ) ) ] )
% 0.43/1.10  .
% 0.43/1.10  clause( 20, [ ~( =( X, zero ) ), 'less_equal'( X, zero ) ] )
% 0.43/1.10  .
% 0.43/1.10  clause( 30, [ 'less_equal'( divide( X, c ), divide( divide( X, b ), c ) ) ]
% 0.43/1.10     )
% 0.43/1.10  .
% 0.43/1.10  clause( 32, [ ~( =( X, zero ) ), =( X, zero ) ] )
% 0.43/1.10  .
% 0.43/1.10  clause( 43, [ 'less_equal'( X, Y ), ~( =( X, zero ) ) ] )
% 0.43/1.10  .
% 0.43/1.10  clause( 62, [ ~( =( X, zero ) ), ~( 'less_equal'( divide( a, c ), X ) ) ]
% 0.43/1.10     )
% 0.43/1.10  .
% 0.43/1.10  clause( 79, [ ~( 'less_equal'( divide( a, c ), zero ) ) ] )
% 0.43/1.10  .
% 0.43/1.10  clause( 259, [] )
% 0.43/1.10  .
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  % SZS output end Refutation
% 0.43/1.10  found a proof!
% 0.43/1.10  
% 0.43/1.10  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.10  
% 0.43/1.10  initialclauses(
% 0.43/1.10  [ clause( 261, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.43/1.10  , clause( 262, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.43/1.10  , clause( 263, [ 'less_equal'( divide( X, Y ), X ) ] )
% 0.43/1.10  , clause( 264, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), 
% 0.43/1.10    divide( divide( X, Z ), Y ) ) ] )
% 0.43/1.10  , clause( 265, [ 'less_equal'( zero, X ) ] )
% 0.43/1.10  , clause( 266, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X
% 0.43/1.10    , Y ) ] )
% 0.43/1.10  , clause( 267, [ 'less_equal'( X, identity ) ] )
% 0.43/1.10  , clause( 268, [ =( divide( X, identity ), zero ) ] )
% 0.43/1.10  , clause( 269, [ =( divide( zero, X ), zero ) ] )
% 0.43/1.10  , clause( 270, [ =( divide( X, X ), zero ) ] )
% 0.43/1.10  , clause( 271, [ =( divide( X, zero ), X ) ] )
% 0.43/1.10  , clause( 272, [ 'less_equal'( a, b ) ] )
% 0.43/1.10  , clause( 273, [ 'less_equal'( b, c ) ] )
% 0.43/1.10  , clause( 274, [ ~( 'less_equal'( a, c ) ) ] )
% 0.43/1.10  ] ).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  subsumption(
% 0.43/1.10  clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.43/1.10  , clause( 261, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.43/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.10     ), ==>( 1, 1 )] ) ).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  subsumption(
% 0.43/1.10  clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.43/1.10  , clause( 262, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.43/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.10     ), ==>( 1, 1 )] ) ).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  subsumption(
% 0.43/1.10  clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), divide( 
% 0.43/1.10    divide( X, Z ), Y ) ) ] )
% 0.43/1.10  , clause( 264, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), 
% 0.43/1.10    divide( divide( X, Z ), Y ) ) ] )
% 0.43/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.43/1.10    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  subsumption(
% 0.43/1.10  clause( 4, [ 'less_equal'( zero, X ) ] )
% 0.43/1.10  , clause( 265, [ 'less_equal'( zero, X ) ] )
% 0.43/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  subsumption(
% 0.43/1.10  clause( 5, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X, Y
% 0.43/1.10     ) ] )
% 0.43/1.10  , clause( 266, [ ~( 'less_equal'( X, Y ) ), ~( 'less_equal'( Y, X ) ), =( X
% 0.43/1.10    , Y ) ] )
% 0.43/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.10     ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  subsumption(
% 0.43/1.10  clause( 8, [ =( divide( zero, X ), zero ) ] )
% 0.43/1.10  , clause( 269, [ =( divide( zero, X ), zero ) ] )
% 0.43/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  subsumption(
% 0.43/1.10  clause( 10, [ =( divide( X, zero ), X ) ] )
% 0.43/1.10  , clause( 271, [ =( divide( X, zero ), X ) ] )
% 0.43/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  subsumption(
% 0.43/1.10  clause( 11, [ 'less_equal'( a, b ) ] )
% 0.43/1.10  , clause( 272, [ 'less_equal'( a, b ) ] )
% 0.43/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  subsumption(
% 0.43/1.10  clause( 12, [ 'less_equal'( b, c ) ] )
% 0.43/1.10  , clause( 273, [ 'less_equal'( b, c ) ] )
% 0.43/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  subsumption(
% 0.43/1.10  clause( 13, [ ~( 'less_equal'( a, c ) ) ] )
% 0.43/1.10  , clause( 274, [ ~( 'less_equal'( a, c ) ) ] )
% 0.43/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  eqswap(
% 0.43/1.10  clause( 318, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 0.43/1.10  , clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.43/1.10  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  resolution(
% 0.43/1.10  clause( 319, [ =( zero, divide( a, b ) ) ] )
% 0.43/1.10  , clause( 318, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 0.43/1.10  , 1, clause( 11, [ 'less_equal'( a, b ) ] )
% 0.43/1.10  , 0, substitution( 0, [ :=( X, a ), :=( Y, b )] ), substitution( 1, [] )
% 0.43/1.10    ).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  eqswap(
% 0.43/1.10  clause( 320, [ =( divide( a, b ), zero ) ] )
% 0.43/1.10  , clause( 319, [ =( zero, divide( a, b ) ) ] )
% 0.43/1.10  , 0, substitution( 0, [] )).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  subsumption(
% 0.43/1.10  clause( 14, [ =( divide( a, b ), zero ) ] )
% 0.43/1.10  , clause( 320, [ =( divide( a, b ), zero ) ] )
% 0.43/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  eqswap(
% 0.43/1.10  clause( 321, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 0.43/1.10  , clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.43/1.10  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  resolution(
% 0.43/1.10  clause( 322, [ =( zero, divide( b, c ) ) ] )
% 0.43/1.10  , clause( 321, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 0.43/1.10  , 1, clause( 12, [ 'less_equal'( b, c ) ] )
% 0.43/1.10  , 0, substitution( 0, [ :=( X, b ), :=( Y, c )] ), substitution( 1, [] )
% 0.43/1.10    ).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  eqswap(
% 0.43/1.10  clause( 323, [ =( divide( b, c ), zero ) ] )
% 0.43/1.10  , clause( 322, [ =( zero, divide( b, c ) ) ] )
% 0.43/1.10  , 0, substitution( 0, [] )).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  subsumption(
% 0.43/1.10  clause( 15, [ =( divide( b, c ), zero ) ] )
% 0.43/1.10  , clause( 323, [ =( divide( b, c ), zero ) ] )
% 0.43/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  eqswap(
% 0.43/1.10  clause( 324, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ] )
% 0.43/1.10  , clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.43/1.10  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  resolution(
% 0.43/1.10  clause( 325, [ ~( =( zero, divide( a, c ) ) ) ] )
% 0.43/1.10  , clause( 13, [ ~( 'less_equal'( a, c ) ) ] )
% 0.43/1.10  , 0, clause( 324, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ]
% 0.43/1.10     )
% 0.43/1.10  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, c )] )
% 0.43/1.10    ).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  eqswap(
% 0.43/1.10  clause( 326, [ ~( =( divide( a, c ), zero ) ) ] )
% 0.43/1.10  , clause( 325, [ ~( =( zero, divide( a, c ) ) ) ] )
% 0.43/1.10  , 0, substitution( 0, [] )).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  subsumption(
% 0.43/1.10  clause( 19, [ ~( =( divide( a, c ), zero ) ) ] )
% 0.43/1.10  , clause( 326, [ ~( =( divide( a, c ), zero ) ) ] )
% 0.43/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  eqswap(
% 0.43/1.10  clause( 328, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ] )
% 0.43/1.10  , clause( 1, [ ~( =( divide( X, Y ), zero ) ), 'less_equal'( X, Y ) ] )
% 0.43/1.10  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  paramod(
% 0.43/1.10  clause( 329, [ ~( =( zero, X ) ), 'less_equal'( X, zero ) ] )
% 0.43/1.10  , clause( 10, [ =( divide( X, zero ), X ) ] )
% 0.43/1.10  , 0, clause( 328, [ ~( =( zero, divide( X, Y ) ) ), 'less_equal'( X, Y ) ]
% 0.43/1.10     )
% 0.43/1.10  , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), 
% 0.43/1.10    :=( Y, zero )] )).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  eqswap(
% 0.43/1.10  clause( 330, [ ~( =( X, zero ) ), 'less_equal'( X, zero ) ] )
% 0.43/1.10  , clause( 329, [ ~( =( zero, X ) ), 'less_equal'( X, zero ) ] )
% 0.43/1.10  , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  subsumption(
% 0.43/1.10  clause( 20, [ ~( =( X, zero ) ), 'less_equal'( X, zero ) ] )
% 0.43/1.10  , clause( 330, [ ~( =( X, zero ) ), 'less_equal'( X, zero ) ] )
% 0.43/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.43/1.10    1 )] ) ).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  paramod(
% 0.43/1.10  clause( 334, [ 'less_equal'( divide( divide( X, c ), zero ), divide( divide( 
% 0.43/1.10    X, b ), c ) ) ] )
% 0.43/1.10  , clause( 15, [ =( divide( b, c ), zero ) ] )
% 0.43/1.10  , 0, clause( 3, [ 'less_equal'( divide( divide( X, Y ), divide( Z, Y ) ), 
% 0.43/1.10    divide( divide( X, Z ), Y ) ) ] )
% 0.43/1.10  , 0, 5, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, c ), 
% 0.43/1.10    :=( Z, b )] )).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  paramod(
% 0.43/1.10  clause( 336, [ 'less_equal'( divide( X, c ), divide( divide( X, b ), c ) )
% 0.43/1.10     ] )
% 0.43/1.10  , clause( 10, [ =( divide( X, zero ), X ) ] )
% 0.43/1.10  , 0, clause( 334, [ 'less_equal'( divide( divide( X, c ), zero ), divide( 
% 0.43/1.10    divide( X, b ), c ) ) ] )
% 0.43/1.10  , 0, 1, substitution( 0, [ :=( X, divide( X, c ) )] ), substitution( 1, [ 
% 0.43/1.10    :=( X, X )] )).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  subsumption(
% 0.43/1.10  clause( 30, [ 'less_equal'( divide( X, c ), divide( divide( X, b ), c ) ) ]
% 0.43/1.10     )
% 0.43/1.10  , clause( 336, [ 'less_equal'( divide( X, c ), divide( divide( X, b ), c )
% 0.43/1.10     ) ] )
% 0.43/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  eqswap(
% 0.43/1.10  clause( 337, [ ~( =( zero, X ) ), 'less_equal'( X, zero ) ] )
% 0.43/1.10  , clause( 20, [ ~( =( X, zero ) ), 'less_equal'( X, zero ) ] )
% 0.43/1.10  , 0, substitution( 0, [ :=( X, X )] )).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  eqswap(
% 0.43/1.10  clause( 338, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 0.43/1.10  , clause( 0, [ ~( 'less_equal'( X, Y ) ), =( divide( X, Y ), zero ) ] )
% 0.43/1.10  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  resolution(
% 0.43/1.10  clause( 341, [ =( zero, divide( X, zero ) ), ~( =( zero, X ) ) ] )
% 0.43/1.10  , clause( 338, [ =( zero, divide( X, Y ) ), ~( 'less_equal'( X, Y ) ) ] )
% 0.43/1.10  , 1, clause( 337, [ ~( =( zero, X ) ), 'less_equal'( X, zero ) ] )
% 0.43/1.10  , 1, substitution( 0, [ :=( X, X ), :=( Y, zero )] ), substitution( 1, [ 
% 0.43/1.10    :=( X, X )] )).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  paramod(
% 0.43/1.10  clause( 342, [ =( zero, X ), ~( =( zero, X ) ) ] )
% 0.43/1.10  , clause( 10, [ =( divide( X, zero ), X ) ] )
% 0.43/1.10  , 0, clause( 341, [ =( zero, divide( X, zero ) ), ~( =( zero, X ) ) ] )
% 0.43/1.10  , 0, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.43/1.10    ).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  eqswap(
% 0.43/1.10  clause( 344, [ ~( =( X, zero ) ), =( zero, X ) ] )
% 0.43/1.10  , clause( 342, [ =( zero, X ), ~( =( zero, X ) ) ] )
% 0.43/1.10  , 1, substitution( 0, [ :=( X, X )] )).
% 0.43/1.10  
% 0.43/1.10  
% 0.43/1.10  eqswap(
% 0.43/1.10  clause( 345, [ =( X, zero ), ~( =( X, zero ) ) ] )
% 0.43/1.10  , clause( 344, [ ~( =( X, zero ) ), =( zero, X ) ] )
% 0.43/1.10  , 1Cputime limit exceeded (core dumped)  (core dumped)
% 300.03/300.47  Bliksem ended
%------------------------------------------------------------------------------