TSTP Solution File: GRP710-10 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GRP710-10 : TPTP v8.1.0. Released v8.1.0.
% 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 07:39:11 EDT 2022

% Result   : Unsatisfiable 0.47s 1.13s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP710-10 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.14  % Command  : bliksem %s
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % DateTime : Tue Jun 14 12:17:39 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.47/1.13  *** allocated 10000 integers for termspace/termends
% 0.47/1.13  *** allocated 10000 integers for clauses
% 0.47/1.13  *** allocated 10000 integers for justifications
% 0.47/1.13  Bliksem 1.12
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  Automatic Strategy Selection
% 0.47/1.13  
% 0.47/1.13  Clauses:
% 0.47/1.13  [
% 0.47/1.13     [ =( mult( X, unit ), X ) ],
% 0.47/1.13     [ =( mult( unit, X ), X ) ],
% 0.47/1.13     [ =( mult( X, mult( Y, mult( Y, Z ) ) ), mult( mult( mult( X, Y ), Y ), 
% 0.47/1.13    Z ) ) ],
% 0.47/1.13     [ =( mult( X, i( X ) ), unit ) ],
% 0.47/1.13     [ =( mult( i( X ), X ), unit ) ],
% 0.47/1.13     [ ~( =( mult( x0, X ), x1 ) ) ]
% 0.47/1.13  ] .
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  percentage equality = 1.000000, percentage horn = 1.000000
% 0.47/1.13  This is a pure equality problem
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  Options Used:
% 0.47/1.13  
% 0.47/1.13  useres =            1
% 0.47/1.13  useparamod =        1
% 0.47/1.13  useeqrefl =         1
% 0.47/1.13  useeqfact =         1
% 0.47/1.13  usefactor =         1
% 0.47/1.13  usesimpsplitting =  0
% 0.47/1.13  usesimpdemod =      5
% 0.47/1.13  usesimpres =        3
% 0.47/1.13  
% 0.47/1.13  resimpinuse      =  1000
% 0.47/1.13  resimpclauses =     20000
% 0.47/1.13  substype =          eqrewr
% 0.47/1.13  backwardsubs =      1
% 0.47/1.13  selectoldest =      5
% 0.47/1.13  
% 0.47/1.13  litorderings [0] =  split
% 0.47/1.13  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.47/1.13  
% 0.47/1.13  termordering =      kbo
% 0.47/1.13  
% 0.47/1.13  litapriori =        0
% 0.47/1.13  termapriori =       1
% 0.47/1.13  litaposteriori =    0
% 0.47/1.13  termaposteriori =   0
% 0.47/1.13  demodaposteriori =  0
% 0.47/1.13  ordereqreflfact =   0
% 0.47/1.13  
% 0.47/1.13  litselect =         negord
% 0.47/1.13  
% 0.47/1.13  maxweight =         15
% 0.47/1.13  maxdepth =          30000
% 0.47/1.13  maxlength =         115
% 0.47/1.13  maxnrvars =         195
% 0.47/1.13  excuselevel =       1
% 0.47/1.13  increasemaxweight = 1
% 0.47/1.13  
% 0.47/1.13  maxselected =       10000000
% 0.47/1.13  maxnrclauses =      10000000
% 0.47/1.13  
% 0.47/1.13  showgenerated =    0
% 0.47/1.13  showkept =         0
% 0.47/1.13  showselected =     0
% 0.47/1.13  showdeleted =      0
% 0.47/1.13  showresimp =       1
% 0.47/1.13  showstatus =       2000
% 0.47/1.13  
% 0.47/1.13  prologoutput =     1
% 0.47/1.13  nrgoals =          5000000
% 0.47/1.13  totalproof =       1
% 0.47/1.13  
% 0.47/1.13  Symbols occurring in the translation:
% 0.47/1.13  
% 0.47/1.13  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.47/1.13  .  [1, 2]      (w:1, o:22, a:1, s:1, b:0), 
% 0.47/1.13  !  [4, 1]      (w:0, o:16, a:1, s:1, b:0), 
% 0.47/1.13  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.47/1.13  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.47/1.13  unit  [40, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.47/1.13  mult  [41, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.47/1.13  i  [44, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.47/1.13  x0  [45, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.47/1.13  x1  [47, 0]      (w:1, o:15, a:1, s:1, b:0).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  Starting Search:
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  Bliksems!, er is een bewijs:
% 0.47/1.13  % SZS status Unsatisfiable
% 0.47/1.13  % SZS output start Refutation
% 0.47/1.13  
% 0.47/1.13  clause( 0, [ =( mult( X, unit ), X ) ] )
% 0.47/1.13  .
% 0.47/1.13  clause( 1, [ =( mult( unit, X ), X ) ] )
% 0.47/1.13  .
% 0.47/1.13  clause( 2, [ =( mult( X, mult( Y, mult( Y, Z ) ) ), mult( mult( mult( X, Y
% 0.47/1.13     ), Y ), Z ) ) ] )
% 0.47/1.13  .
% 0.47/1.13  clause( 3, [ =( mult( X, i( X ) ), unit ) ] )
% 0.47/1.13  .
% 0.47/1.13  clause( 5, [ ~( =( mult( x0, X ), x1 ) ) ] )
% 0.47/1.13  .
% 0.47/1.13  clause( 13, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 0.47/1.13  .
% 0.47/1.13  clause( 50, [ =( mult( mult( X, X ), i( X ) ), X ) ] )
% 0.47/1.13  .
% 0.47/1.13  clause( 52, [ ~( =( mult( mult( x0, x0 ), X ), x1 ) ) ] )
% 0.47/1.13  .
% 0.47/1.13  clause( 58, [ ~( =( mult( mult( mult( mult( x0, x0 ), X ), X ), Y ), x1 ) )
% 0.47/1.13     ] )
% 0.47/1.13  .
% 0.47/1.13  clause( 92, [ ~( =( X, x1 ) ) ] )
% 0.47/1.13  .
% 0.47/1.13  clause( 93, [] )
% 0.47/1.13  .
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  % SZS output end Refutation
% 0.47/1.13  found a proof!
% 0.47/1.13  
% 0.47/1.13  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.47/1.13  
% 0.47/1.13  initialclauses(
% 0.47/1.13  [ clause( 95, [ =( mult( X, unit ), X ) ] )
% 0.47/1.13  , clause( 96, [ =( mult( unit, X ), X ) ] )
% 0.47/1.13  , clause( 97, [ =( mult( X, mult( Y, mult( Y, Z ) ) ), mult( mult( mult( X
% 0.47/1.13    , Y ), Y ), Z ) ) ] )
% 0.47/1.13  , clause( 98, [ =( mult( X, i( X ) ), unit ) ] )
% 0.47/1.13  , clause( 99, [ =( mult( i( X ), X ), unit ) ] )
% 0.47/1.13  , clause( 100, [ ~( =( mult( x0, X ), x1 ) ) ] )
% 0.47/1.13  ] ).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  subsumption(
% 0.47/1.13  clause( 0, [ =( mult( X, unit ), X ) ] )
% 0.47/1.13  , clause( 95, [ =( mult( X, unit ), X ) ] )
% 0.47/1.13  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  subsumption(
% 0.47/1.13  clause( 1, [ =( mult( unit, X ), X ) ] )
% 0.47/1.13  , clause( 96, [ =( mult( unit, X ), X ) ] )
% 0.47/1.13  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  subsumption(
% 0.47/1.13  clause( 2, [ =( mult( X, mult( Y, mult( Y, Z ) ) ), mult( mult( mult( X, Y
% 0.47/1.13     ), Y ), Z ) ) ] )
% 0.47/1.13  , clause( 97, [ =( mult( X, mult( Y, mult( Y, Z ) ) ), mult( mult( mult( X
% 0.47/1.13    , Y ), Y ), Z ) ) ] )
% 0.47/1.13  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.47/1.13    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  subsumption(
% 0.47/1.13  clause( 3, [ =( mult( X, i( X ) ), unit ) ] )
% 0.47/1.13  , clause( 98, [ =( mult( X, i( X ) ), unit ) ] )
% 0.47/1.13  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  subsumption(
% 0.47/1.13  clause( 5, [ ~( =( mult( x0, X ), x1 ) ) ] )
% 0.47/1.13  , clause( 100, [ ~( =( mult( x0, X ), x1 ) ) ] )
% 0.47/1.13  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  eqswap(
% 0.47/1.13  clause( 117, [ =( mult( mult( mult( X, Y ), Y ), Z ), mult( X, mult( Y, 
% 0.47/1.13    mult( Y, Z ) ) ) ) ] )
% 0.47/1.13  , clause( 2, [ =( mult( X, mult( Y, mult( Y, Z ) ) ), mult( mult( mult( X, 
% 0.47/1.13    Y ), Y ), Z ) ) ] )
% 0.47/1.13  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  paramod(
% 0.47/1.13  clause( 121, [ =( mult( mult( mult( unit, X ), X ), Y ), mult( X, mult( X, 
% 0.47/1.13    Y ) ) ) ] )
% 0.47/1.13  , clause( 1, [ =( mult( unit, X ), X ) ] )
% 0.47/1.13  , 0, clause( 117, [ =( mult( mult( mult( X, Y ), Y ), Z ), mult( X, mult( Y
% 0.47/1.13    , mult( Y, Z ) ) ) ) ] )
% 0.47/1.13  , 0, 8, substitution( 0, [ :=( X, mult( X, mult( X, Y ) ) )] ), 
% 0.47/1.13    substitution( 1, [ :=( X, unit ), :=( Y, X ), :=( Z, Y )] )).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  paramod(
% 0.47/1.13  clause( 127, [ =( mult( mult( X, X ), Y ), mult( X, mult( X, Y ) ) ) ] )
% 0.47/1.13  , clause( 1, [ =( mult( unit, X ), X ) ] )
% 0.47/1.13  , 0, clause( 121, [ =( mult( mult( mult( unit, X ), X ), Y ), mult( X, mult( 
% 0.47/1.13    X, Y ) ) ) ] )
% 0.47/1.13  , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), 
% 0.47/1.13    :=( Y, Y )] )).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  eqswap(
% 0.47/1.13  clause( 128, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 0.47/1.13  , clause( 127, [ =( mult( mult( X, X ), Y ), mult( X, mult( X, Y ) ) ) ] )
% 0.47/1.13  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  subsumption(
% 0.47/1.13  clause( 13, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 0.47/1.13  , clause( 128, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 0.47/1.13  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/1.13     )] ) ).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  eqswap(
% 0.47/1.13  clause( 130, [ =( mult( mult( X, X ), Y ), mult( X, mult( X, Y ) ) ) ] )
% 0.47/1.13  , clause( 13, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 0.47/1.13  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  paramod(
% 0.47/1.13  clause( 133, [ =( mult( mult( X, X ), i( X ) ), mult( X, unit ) ) ] )
% 0.47/1.13  , clause( 3, [ =( mult( X, i( X ) ), unit ) ] )
% 0.47/1.13  , 0, clause( 130, [ =( mult( mult( X, X ), Y ), mult( X, mult( X, Y ) ) ) ]
% 0.47/1.13     )
% 0.47/1.13  , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), 
% 0.47/1.13    :=( Y, i( X ) )] )).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  paramod(
% 0.47/1.13  clause( 134, [ =( mult( mult( X, X ), i( X ) ), X ) ] )
% 0.47/1.13  , clause( 0, [ =( mult( X, unit ), X ) ] )
% 0.47/1.13  , 0, clause( 133, [ =( mult( mult( X, X ), i( X ) ), mult( X, unit ) ) ] )
% 0.47/1.13  , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.47/1.13    ).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  subsumption(
% 0.47/1.13  clause( 50, [ =( mult( mult( X, X ), i( X ) ), X ) ] )
% 0.47/1.13  , clause( 134, [ =( mult( mult( X, X ), i( X ) ), X ) ] )
% 0.47/1.13  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  eqswap(
% 0.47/1.13  clause( 137, [ ~( =( x1, mult( x0, X ) ) ) ] )
% 0.47/1.13  , clause( 5, [ ~( =( mult( x0, X ), x1 ) ) ] )
% 0.47/1.13  , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  paramod(
% 0.47/1.13  clause( 138, [ ~( =( x1, mult( mult( x0, x0 ), X ) ) ) ] )
% 0.47/1.13  , clause( 13, [ =( mult( X, mult( X, Y ) ), mult( mult( X, X ), Y ) ) ] )
% 0.47/1.13  , 0, clause( 137, [ ~( =( x1, mult( x0, X ) ) ) ] )
% 0.47/1.13  , 0, 3, substitution( 0, [ :=( X, x0 ), :=( Y, X )] ), substitution( 1, [ 
% 0.47/1.13    :=( X, mult( x0, X ) )] )).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  eqswap(
% 0.47/1.13  clause( 139, [ ~( =( mult( mult( x0, x0 ), X ), x1 ) ) ] )
% 0.47/1.13  , clause( 138, [ ~( =( x1, mult( mult( x0, x0 ), X ) ) ) ] )
% 0.47/1.13  , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  subsumption(
% 0.47/1.13  clause( 52, [ ~( =( mult( mult( x0, x0 ), X ), x1 ) ) ] )
% 0.47/1.13  , clause( 139, [ ~( =( mult( mult( x0, x0 ), X ), x1 ) ) ] )
% 0.47/1.13  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  eqswap(
% 0.47/1.13  clause( 141, [ ~( =( x1, mult( mult( x0, x0 ), X ) ) ) ] )
% 0.47/1.13  , clause( 52, [ ~( =( mult( mult( x0, x0 ), X ), x1 ) ) ] )
% 0.47/1.13  , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  paramod(
% 0.47/1.13  clause( 142, [ ~( =( x1, mult( mult( mult( mult( x0, x0 ), X ), X ), Y ) )
% 0.47/1.13     ) ] )
% 0.47/1.13  , clause( 2, [ =( mult( X, mult( Y, mult( Y, Z ) ) ), mult( mult( mult( X, 
% 0.47/1.13    Y ), Y ), Z ) ) ] )
% 0.47/1.13  , 0, clause( 141, [ ~( =( x1, mult( mult( x0, x0 ), X ) ) ) ] )
% 0.47/1.13  , 0, 3, substitution( 0, [ :=( X, mult( x0, x0 ) ), :=( Y, X ), :=( Z, Y )] )
% 0.47/1.13    , substitution( 1, [ :=( X, mult( X, mult( X, Y ) ) )] )).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  eqswap(
% 0.47/1.13  clause( 143, [ ~( =( mult( mult( mult( mult( x0, x0 ), X ), X ), Y ), x1 )
% 0.47/1.13     ) ] )
% 0.47/1.13  , clause( 142, [ ~( =( x1, mult( mult( mult( mult( x0, x0 ), X ), X ), Y )
% 0.47/1.13     ) ) ] )
% 0.47/1.13  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  subsumption(
% 0.47/1.13  clause( 58, [ ~( =( mult( mult( mult( mult( x0, x0 ), X ), X ), Y ), x1 ) )
% 0.47/1.13     ] )
% 0.47/1.13  , clause( 143, [ ~( =( mult( mult( mult( mult( x0, x0 ), X ), X ), Y ), x1
% 0.47/1.13     ) ) ] )
% 0.47/1.13  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/1.13     )] ) ).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  eqswap(
% 0.47/1.13  clause( 145, [ ~( =( x1, mult( mult( mult( mult( x0, x0 ), X ), X ), Y ) )
% 0.47/1.13     ) ] )
% 0.47/1.13  , clause( 58, [ ~( =( mult( mult( mult( mult( x0, x0 ), X ), X ), Y ), x1 )
% 0.47/1.13     ) ] )
% 0.47/1.13  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  paramod(
% 0.47/1.13  clause( 148, [ ~( =( x1, mult( mult( x0, i( x0 ) ), X ) ) ) ] )
% 0.47/1.13  , clause( 50, [ =( mult( mult( X, X ), i( X ) ), X ) ] )
% 0.47/1.13  , 0, clause( 145, [ ~( =( x1, mult( mult( mult( mult( x0, x0 ), X ), X ), Y
% 0.47/1.13     ) ) ) ] )
% 0.47/1.13  , 0, 5, substitution( 0, [ :=( X, x0 )] ), substitution( 1, [ :=( X, i( x0
% 0.47/1.13     ) ), :=( Y, X )] )).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  paramod(
% 0.47/1.13  clause( 149, [ ~( =( x1, mult( unit, X ) ) ) ] )
% 0.47/1.13  , clause( 3, [ =( mult( X, i( X ) ), unit ) ] )
% 0.47/1.13  , 0, clause( 148, [ ~( =( x1, mult( mult( x0, i( x0 ) ), X ) ) ) ] )
% 0.47/1.13  , 0, 4, substitution( 0, [ :=( X, x0 )] ), substitution( 1, [ :=( X, X )] )
% 0.47/1.13    ).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  paramod(
% 0.47/1.13  clause( 150, [ ~( =( x1, X ) ) ] )
% 0.47/1.13  , clause( 1, [ =( mult( unit, X ), X ) ] )
% 0.47/1.13  , 0, clause( 149, [ ~( =( x1, mult( unit, X ) ) ) ] )
% 0.47/1.13  , 0, 3, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.47/1.13    ).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  eqswap(
% 0.47/1.13  clause( 151, [ ~( =( X, x1 ) ) ] )
% 0.47/1.13  , clause( 150, [ ~( =( x1, X ) ) ] )
% 0.47/1.13  , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  subsumption(
% 0.47/1.13  clause( 92, [ ~( =( X, x1 ) ) ] )
% 0.47/1.13  , clause( 151, [ ~( =( X, x1 ) ) ] )
% 0.47/1.13  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  eqswap(
% 0.47/1.13  clause( 152, [ ~( =( x1, X ) ) ] )
% 0.47/1.13  , clause( 92, [ ~( =( X, x1 ) ) ] )
% 0.47/1.13  , 0, substitution( 0, [ :=( X, X )] )).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  eqrefl(
% 0.47/1.13  clause( 153, [] )
% 0.47/1.13  , clause( 152, [ ~( =( x1, X ) ) ] )
% 0.47/1.13  , 0, substitution( 0, [ :=( X, x1 )] )).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  subsumption(
% 0.47/1.13  clause( 93, [] )
% 0.47/1.13  , clause( 153, [] )
% 0.47/1.13  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  end.
% 0.47/1.13  
% 0.47/1.13  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.47/1.13  
% 0.47/1.13  Memory use:
% 0.47/1.13  
% 0.47/1.13  space for terms:        1209
% 0.47/1.13  space for clauses:      8511
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  clauses generated:      600
% 0.47/1.13  clauses kept:           94
% 0.47/1.13  clauses selected:       43
% 0.47/1.13  clauses deleted:        2
% 0.47/1.13  clauses inuse deleted:  0
% 0.47/1.13  
% 0.47/1.13  subsentry:          290
% 0.47/1.13  literals s-matched: 188
% 0.47/1.13  literals matched:   188
% 0.47/1.13  full subsumption:   0
% 0.47/1.13  
% 0.47/1.13  checksum:           942930367
% 0.47/1.13  
% 0.47/1.13  
% 0.47/1.13  Bliksem ended
%------------------------------------------------------------------------------