TSTP Solution File: HEN007-5 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : HEN007-5 : 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 12:47:06 EDT 2022

% Result   : Unsatisfiable 1.48s 1.84s
% Output   : Refutation 1.48s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : HEN007-5 : 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 14:23:39 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 1.48/1.84  *** allocated 10000 integers for termspace/termends
% 1.48/1.84  *** allocated 10000 integers for clauses
% 1.48/1.84  *** allocated 10000 integers for justifications
% 1.48/1.84  Bliksem 1.12
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  Automatic Strategy Selection
% 1.48/1.84  
% 1.48/1.84  Clauses:
% 1.48/1.84  [
% 1.48/1.84     [ =( divide( divide( X, Y ), X ), zero ) ],
% 1.48/1.84     [ =( divide( divide( divide( X, Y ), divide( Z, Y ) ), divide( divide( X
% 1.48/1.84    , Z ), Y ) ), zero ) ],
% 1.48/1.84     [ =( divide( zero, X ), zero ) ],
% 1.48/1.84     [ ~( =( divide( X, Y ), zero ) ), ~( =( divide( Y, X ), zero ) ), =( X, 
% 1.48/1.84    Y ) ],
% 1.48/1.84     [ =( divide( X, identity ), zero ) ],
% 1.48/1.84     [ ~( =( divide( X, Y ), zero ) ), ~( =( divide( Y, Z ), zero ) ), =( 
% 1.48/1.84    divide( X, Z ), zero ) ],
% 1.48/1.84     [ =( divide( a, b ), zero ) ],
% 1.48/1.84     [ ~( =( divide( divide( c, b ), divide( c, a ) ), zero ) ) ]
% 1.48/1.84  ] .
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  percentage equality = 1.000000, percentage horn = 1.000000
% 1.48/1.84  This is a pure equality problem
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  Options Used:
% 1.48/1.84  
% 1.48/1.84  useres =            1
% 1.48/1.84  useparamod =        1
% 1.48/1.84  useeqrefl =         1
% 1.48/1.84  useeqfact =         1
% 1.48/1.84  usefactor =         1
% 1.48/1.84  usesimpsplitting =  0
% 1.48/1.84  usesimpdemod =      5
% 1.48/1.84  usesimpres =        3
% 1.48/1.84  
% 1.48/1.84  resimpinuse      =  1000
% 1.48/1.84  resimpclauses =     20000
% 1.48/1.84  substype =          eqrewr
% 1.48/1.84  backwardsubs =      1
% 1.48/1.84  selectoldest =      5
% 1.48/1.84  
% 1.48/1.84  litorderings [0] =  split
% 1.48/1.84  litorderings [1] =  extend the termordering, first sorting on arguments
% 1.48/1.84  
% 1.48/1.84  termordering =      kbo
% 1.48/1.84  
% 1.48/1.84  litapriori =        0
% 1.48/1.84  termapriori =       1
% 1.48/1.84  litaposteriori =    0
% 1.48/1.84  termaposteriori =   0
% 1.48/1.84  demodaposteriori =  0
% 1.48/1.84  ordereqreflfact =   0
% 1.48/1.84  
% 1.48/1.84  litselect =         negord
% 1.48/1.84  
% 1.48/1.84  maxweight =         15
% 1.48/1.84  maxdepth =          30000
% 1.48/1.84  maxlength =         115
% 1.48/1.84  maxnrvars =         195
% 1.48/1.84  excuselevel =       1
% 1.48/1.84  increasemaxweight = 1
% 1.48/1.84  
% 1.48/1.84  maxselected =       10000000
% 1.48/1.84  maxnrclauses =      10000000
% 1.48/1.84  
% 1.48/1.84  showgenerated =    0
% 1.48/1.84  showkept =         0
% 1.48/1.84  showselected =     0
% 1.48/1.84  showdeleted =      0
% 1.48/1.84  showresimp =       1
% 1.48/1.84  showstatus =       2000
% 1.48/1.84  
% 1.48/1.84  prologoutput =     1
% 1.48/1.84  nrgoals =          5000000
% 1.48/1.84  totalproof =       1
% 1.48/1.84  
% 1.48/1.84  Symbols occurring in the translation:
% 1.48/1.84  
% 1.48/1.84  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.48/1.84  .  [1, 2]      (w:1, o:22, a:1, s:1, b:0), 
% 1.48/1.84  !  [4, 1]      (w:0, o:17, a:1, s:1, b:0), 
% 1.48/1.84  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.48/1.84  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.48/1.84  divide  [41, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 1.48/1.84  zero  [42, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 1.48/1.84  identity  [44, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 1.48/1.84  a  [45, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 1.48/1.84  b  [46, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 1.48/1.84  c  [47, 0]      (w:1, o:16, a:1, s:1, b:0).
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  Starting Search:
% 1.48/1.84  
% 1.48/1.84  Resimplifying inuse:
% 1.48/1.84  Done
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  Bliksems!, er is een bewijs:
% 1.48/1.84  % SZS status Unsatisfiable
% 1.48/1.84  % SZS output start Refutation
% 1.48/1.84  
% 1.48/1.84  clause( 0, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 1.48/1.84  .
% 1.48/1.84  clause( 1, [ =( divide( divide( divide( X, Y ), divide( Z, Y ) ), divide( 
% 1.48/1.84    divide( X, Z ), Y ) ), zero ) ] )
% 1.48/1.84  .
% 1.48/1.84  clause( 2, [ =( divide( zero, X ), zero ) ] )
% 1.48/1.84  .
% 1.48/1.84  clause( 3, [ ~( =( divide( X, Y ), zero ) ), ~( =( divide( Y, X ), zero ) )
% 1.48/1.84    , =( X, Y ) ] )
% 1.48/1.84  .
% 1.48/1.84  clause( 5, [ ~( =( divide( X, Y ), zero ) ), ~( =( divide( Y, Z ), zero ) )
% 1.48/1.84    , =( divide( X, Z ), zero ) ] )
% 1.48/1.84  .
% 1.48/1.84  clause( 6, [ =( divide( a, b ), zero ) ] )
% 1.48/1.84  .
% 1.48/1.84  clause( 7, [ ~( =( divide( divide( c, b ), divide( c, a ) ), zero ) ) ] )
% 1.48/1.84  .
% 1.48/1.84  clause( 12, [ =( divide( divide( divide( X, X ), divide( Y, X ) ), zero ), 
% 1.48/1.84    zero ) ] )
% 1.48/1.84  .
% 1.48/1.84  clause( 16, [ =( divide( divide( divide( Y, X ), zero ), divide( divide( Y
% 1.48/1.84    , zero ), X ) ), zero ) ] )
% 1.48/1.84  .
% 1.48/1.84  clause( 20, [ =( divide( divide( divide( X, X ), zero ), zero ), zero ) ]
% 1.48/1.84     )
% 1.48/1.84  .
% 1.48/1.84  clause( 28, [ =( divide( divide( X, X ), zero ), zero ) ] )
% 1.48/1.84  .
% 1.48/1.84  clause( 30, [ ~( =( divide( divide( divide( X, Y ), Z ), divide( divide( X
% 1.48/1.84    , Z ), divide( Y, Z ) ) ), zero ) ), =( divide( divide( X, Z ), divide( Y
% 1.48/1.84    , Z ) ), divide( divide( X, Y ), Z ) ) ] )
% 1.48/1.84  .
% 1.48/1.84  clause( 35, [ ~( =( Z, zero ) ), ~( =( divide( Y, X ), zero ) ), =( X, Y )
% 1.48/1.84    , ~( =( divide( divide( X, Y ), Z ), zero ) ), ~( =( divide( Z, divide( X
% 1.48/1.84    , Y ) ), zero ) ) ] )
% 1.48/1.84  .
% 1.48/1.84  clause( 51, [ =( divide( X, Y ), X ), ~( =( divide( X, zero ), zero ) ) ]
% 1.48/1.84     )
% 1.48/1.84  .
% 1.48/1.84  clause( 54, [ ~( =( divide( X, Y ), zero ) ), =( Y, X ), ~( =( divide( 
% 1.48/1.84    divide( Y, X ), zero ), zero ) ) ] )
% 1.48/1.84  .
% 1.48/1.84  clause( 55, [ =( divide( X, X ), zero ) ] )
% 1.48/1.84  .
% 1.48/1.84  clause( 75, [ ~( =( divide( divide( c, b ), X ), zero ) ), ~( =( divide( X
% 1.48/1.84    , divide( c, a ) ), zero ) ) ] )
% 1.48/1.84  .
% 1.48/1.84  clause( 77, [ ~( =( divide( X, divide( Y, Z ) ), zero ) ), =( divide( X, Y
% 1.48/1.84     ), zero ) ] )
% 1.48/1.84  .
% 1.48/1.84  clause( 79, [ ~( =( divide( X, a ), zero ) ), =( divide( X, b ), zero ) ]
% 1.48/1.84     )
% 1.48/1.84  .
% 1.48/1.84  clause( 223, [ =( divide( divide( divide( X, divide( X, zero ) ), zero ), 
% 1.48/1.84    zero ), zero ) ] )
% 1.48/1.84  .
% 1.48/1.84  clause( 790, [ =( divide( X, divide( X, zero ) ), zero ) ] )
% 1.48/1.84  .
% 1.48/1.84  clause( 792, [ =( divide( X, zero ), X ) ] )
% 1.48/1.84  .
% 1.48/1.84  clause( 804, [ =( divide( X, Y ), X ), ~( =( X, zero ) ) ] )
% 1.48/1.84  .
% 1.48/1.84  clause( 1008, [ ~( =( divide( divide( c, b ), divide( divide( c, a ), X ) )
% 1.48/1.84    , zero ) ) ] )
% 1.48/1.84  .
% 1.48/1.84  clause( 1043, [ ~( =( divide( divide( X, Z ), Y ), zero ) ), =( divide( 
% 1.48/1.84    divide( X, Y ), Z ), zero ) ] )
% 1.48/1.84  .
% 1.48/1.84  clause( 1227, [ ~( =( divide( divide( c, divide( c, a ) ), b ), zero ) ) ]
% 1.48/1.84     )
% 1.48/1.84  .
% 1.48/1.84  clause( 1229, [ ~( =( divide( divide( c, divide( c, a ) ), a ), zero ) ) ]
% 1.48/1.84     )
% 1.48/1.84  .
% 1.48/1.84  clause( 1235, [ ~( =( divide( divide( c, a ), X ), zero ) ), ~( =( divide( 
% 1.48/1.84    X, divide( c, a ) ), zero ) ) ] )
% 1.48/1.84  .
% 1.48/1.84  clause( 1236, [] )
% 1.48/1.84  .
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  % SZS output end Refutation
% 1.48/1.84  found a proof!
% 1.48/1.84  
% 1.48/1.84  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.48/1.84  
% 1.48/1.84  initialclauses(
% 1.48/1.84  [ clause( 1238, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 1.48/1.84  , clause( 1239, [ =( divide( divide( divide( X, Y ), divide( Z, Y ) ), 
% 1.48/1.84    divide( divide( X, Z ), Y ) ), zero ) ] )
% 1.48/1.84  , clause( 1240, [ =( divide( zero, X ), zero ) ] )
% 1.48/1.84  , clause( 1241, [ ~( =( divide( X, Y ), zero ) ), ~( =( divide( Y, X ), 
% 1.48/1.84    zero ) ), =( X, Y ) ] )
% 1.48/1.84  , clause( 1242, [ =( divide( X, identity ), zero ) ] )
% 1.48/1.84  , clause( 1243, [ ~( =( divide( X, Y ), zero ) ), ~( =( divide( Y, Z ), 
% 1.48/1.84    zero ) ), =( divide( X, Z ), zero ) ] )
% 1.48/1.84  , clause( 1244, [ =( divide( a, b ), zero ) ] )
% 1.48/1.84  , clause( 1245, [ ~( =( divide( divide( c, b ), divide( c, a ) ), zero ) )
% 1.48/1.84     ] )
% 1.48/1.84  ] ).
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  subsumption(
% 1.48/1.84  clause( 0, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 1.48/1.84  , clause( 1238, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 1.48/1.84  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.48/1.84     )] ) ).
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  subsumption(
% 1.48/1.84  clause( 1, [ =( divide( divide( divide( X, Y ), divide( Z, Y ) ), divide( 
% 1.48/1.84    divide( X, Z ), Y ) ), zero ) ] )
% 1.48/1.84  , clause( 1239, [ =( divide( divide( divide( X, Y ), divide( Z, Y ) ), 
% 1.48/1.84    divide( divide( X, Z ), Y ) ), zero ) ] )
% 1.48/1.84  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 1.48/1.84    permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  subsumption(
% 1.48/1.84  clause( 2, [ =( divide( zero, X ), zero ) ] )
% 1.48/1.84  , clause( 1240, [ =( divide( zero, X ), zero ) ] )
% 1.48/1.84  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  subsumption(
% 1.48/1.84  clause( 3, [ ~( =( divide( X, Y ), zero ) ), ~( =( divide( Y, X ), zero ) )
% 1.48/1.84    , =( X, Y ) ] )
% 1.48/1.84  , clause( 1241, [ ~( =( divide( X, Y ), zero ) ), ~( =( divide( Y, X ), 
% 1.48/1.84    zero ) ), =( X, Y ) ] )
% 1.48/1.84  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.48/1.84     ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  subsumption(
% 1.48/1.84  clause( 5, [ ~( =( divide( X, Y ), zero ) ), ~( =( divide( Y, Z ), zero ) )
% 1.48/1.84    , =( divide( X, Z ), zero ) ] )
% 1.48/1.84  , clause( 1243, [ ~( =( divide( X, Y ), zero ) ), ~( =( divide( Y, Z ), 
% 1.48/1.84    zero ) ), =( divide( X, Z ), zero ) ] )
% 1.48/1.84  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 1.48/1.84    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  subsumption(
% 1.48/1.84  clause( 6, [ =( divide( a, b ), zero ) ] )
% 1.48/1.84  , clause( 1244, [ =( divide( a, b ), zero ) ] )
% 1.48/1.84  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  subsumption(
% 1.48/1.84  clause( 7, [ ~( =( divide( divide( c, b ), divide( c, a ) ), zero ) ) ] )
% 1.48/1.84  , clause( 1245, [ ~( =( divide( divide( c, b ), divide( c, a ) ), zero ) )
% 1.48/1.84     ] )
% 1.48/1.84  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  eqswap(
% 1.48/1.84  clause( 1324, [ =( zero, divide( divide( divide( X, Y ), divide( Z, Y ) ), 
% 1.48/1.84    divide( divide( X, Z ), Y ) ) ) ] )
% 1.48/1.84  , clause( 1, [ =( divide( divide( divide( X, Y ), divide( Z, Y ) ), divide( 
% 1.48/1.84    divide( X, Z ), Y ) ), zero ) ] )
% 1.48/1.84  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  paramod(
% 1.48/1.84  clause( 1330, [ =( zero, divide( divide( divide( X, X ), divide( Y, X ) ), 
% 1.48/1.84    zero ) ) ] )
% 1.48/1.84  , clause( 0, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 1.48/1.84  , 0, clause( 1324, [ =( zero, divide( divide( divide( X, Y ), divide( Z, Y
% 1.48/1.84     ) ), divide( divide( X, Z ), Y ) ) ) ] )
% 1.48/1.84  , 0, 10, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 1.48/1.84    :=( X, X ), :=( Y, X ), :=( Z, Y )] )).
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  eqswap(
% 1.48/1.84  clause( 1337, [ =( divide( divide( divide( X, X ), divide( Y, X ) ), zero )
% 1.48/1.84    , zero ) ] )
% 1.48/1.84  , clause( 1330, [ =( zero, divide( divide( divide( X, X ), divide( Y, X ) )
% 1.48/1.84    , zero ) ) ] )
% 1.48/1.84  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  subsumption(
% 1.48/1.84  clause( 12, [ =( divide( divide( divide( X, X ), divide( Y, X ) ), zero ), 
% 1.48/1.84    zero ) ] )
% 1.48/1.84  , clause( 1337, [ =( divide( divide( divide( X, X ), divide( Y, X ) ), zero
% 1.48/1.84     ), zero ) ] )
% 1.48/1.84  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.48/1.84     )] ) ).
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  eqswap(
% 1.48/1.84  clause( 1340, [ =( zero, divide( divide( divide( X, Y ), divide( Z, Y ) ), 
% 1.48/1.84    divide( divide( X, Z ), Y ) ) ) ] )
% 1.48/1.84  , clause( 1, [ =( divide( divide( divide( X, Y ), divide( Z, Y ) ), divide( 
% 1.48/1.84    divide( X, Z ), Y ) ), zero ) ] )
% 1.48/1.84  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  paramod(
% 1.48/1.84  clause( 1342, [ =( zero, divide( divide( divide( X, Y ), zero ), divide( 
% 1.48/1.84    divide( X, zero ), Y ) ) ) ] )
% 1.48/1.84  , clause( 2, [ =( divide( zero, X ), zero ) ] )
% 1.48/1.84  , 0, clause( 1340, [ =( zero, divide( divide( divide( X, Y ), divide( Z, Y
% 1.48/1.84     ) ), divide( divide( X, Z ), Y ) ) ) ] )
% 1.48/1.84  , 0, 7, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ), 
% 1.48/1.84    :=( Y, Y ), :=( Z, zero )] )).
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  eqswap(
% 1.48/1.84  clause( 1353, [ =( divide( divide( divide( X, Y ), zero ), divide( divide( 
% 1.48/1.84    X, zero ), Y ) ), zero ) ] )
% 1.48/1.84  , clause( 1342, [ =( zero, divide( divide( divide( X, Y ), zero ), divide( 
% 1.48/1.84    divide( X, zero ), Y ) ) ) ] )
% 1.48/1.84  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  subsumption(
% 1.48/1.84  clause( 16, [ =( divide( divide( divide( Y, X ), zero ), divide( divide( Y
% 1.48/1.84    , zero ), X ) ), zero ) ] )
% 1.48/1.84  , clause( 1353, [ =( divide( divide( divide( X, Y ), zero ), divide( divide( 
% 1.48/1.84    X, zero ), Y ) ), zero ) ] )
% 1.48/1.84  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 1.48/1.84     )] ) ).
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  eqswap(
% 1.48/1.84  clause( 1361, [ =( zero, divide( divide( divide( X, X ), divide( Y, X ) ), 
% 1.48/1.84    zero ) ) ] )
% 1.48/1.84  , clause( 12, [ =( divide( divide( divide( X, X ), divide( Y, X ) ), zero )
% 1.48/1.84    , zero ) ] )
% 1.48/1.84  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  paramod(
% 1.48/1.84  clause( 1364, [ =( zero, divide( divide( divide( X, X ), zero ), zero ) ) ]
% 1.48/1.84     )
% 1.48/1.84  , clause( 0, [ =( divide( divide( X, Y ), X ), zero ) ] )
% 1.48/1.84  , 0, clause( 1361, [ =( zero, divide( divide( divide( X, X ), divide( Y, X
% 1.48/1.84     ) ), zero ) ) ] )
% 1.48/1.84  , 0, 7, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 1.48/1.84    :=( X, X ), :=( Y, divide( X, Y ) )] )).
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  eqswap(
% 1.48/1.84  clause( 1365, [ =( divide( divide( divide( X, X ), zero ), zero ), zero ) ]
% 1.48/1.84     )
% 1.48/1.84  , clause( 1364, [ =( zero, divide( divide( divide( X, X ), zero ), zero ) )
% 1.48/1.84     ] )
% 1.48/1.84  , 0, substitution( 0, [ :=( X, X )] )).
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  subsumption(
% 1.48/1.84  clause( 20, [ =( divide( divide( divide( X, X ), zero ), zero ), zero ) ]
% 1.48/1.84     )
% 1.48/1.84  , clause( 1365, [ =( divide( divide( divide( X, X ), zero ), zero ), zero )
% 1.48/1.84     ] )
% 1.48/1.84  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  eqswap(
% 1.48/1.84  clause( 1366, [ ~( =( zero, divide( X, Y ) ) ), ~( =( divide( Y, X ), zero
% 1.48/1.84     ) ), =( X, Y ) ] )
% 1.48/1.84  , clause( 3, [ ~( =( divide( X, Y ), zero ) ), ~( =( divide( Y, X ), zero )
% 1.48/1.84     ), =( X, Y ) ] )
% 1.48/1.84  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  eqswap(
% 1.48/1.84  clause( 1369, [ =( zero, divide( divide( divide( X, X ), zero ), zero ) ) ]
% 1.48/1.84     )
% 1.48/1.84  , clause( 20, [ =( divide( divide( divide( X, X ), zero ), zero ), zero ) ]
% 1.48/1.84     )
% 1.48/1.84  , 0, substitution( 0, [ :=( X, X )] )).
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  resolution(
% 1.48/1.84  clause( 1371, [ ~( =( divide( zero, divide( divide( X, X ), zero ) ), zero
% 1.48/1.84     ) ), =( divide( divide( X, X ), zero ), zero ) ] )
% 1.48/1.84  , clause( 1366, [ ~( =( zero, divide( X, Y ) ) ), ~( =( divide( Y, X ), 
% 1.48/1.84    zero ) ), =( X, Y ) ] )
% 1.48/1.84  , 0, clause( 1369, [ =( zero, divide( divide( divide( X, X ), zero ), zero
% 1.48/1.84     ) ) ] )
% 1.48/1.84  , 0, substitution( 0, [ :=( X, divide( divide( X, X ), zero ) ), :=( Y, 
% 1.48/1.84    zero )] ), substitution( 1, [ :=( X, X )] )).
% 1.48/1.84  
% 1.48/1.84  
% 1.48/1.84  paramod(
% 1.48/1.84  clause( 1372, [ ~( =( zero, zero ) ), =( divide( divide( X, X ), zero ), 
% 1.48/1.84    zero ) ] )
% 1.48/1.84  , clause( 2, [ =( divide( zero, X ), zero ) ] )
% 1.48/1.84  , 0, clause( 1371, [ ~( =( divide(Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------