TSTP Solution File: GRP682-10 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GRP682-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n026.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 07:38:50 EDT 2022

% Result   : Unsatisfiable 0.76s 1.12s
% Output   : Refutation 0.76s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : GRP682-10 : TPTP v8.1.0. Released v8.1.0.
% 0.04/0.13  % Command  : bliksem %s
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % DateTime : Mon Jun 13 14:41:51 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.76/1.12  *** allocated 10000 integers for termspace/termends
% 0.76/1.12  *** allocated 10000 integers for clauses
% 0.76/1.12  *** allocated 10000 integers for justifications
% 0.76/1.12  Bliksem 1.12
% 0.76/1.12  
% 0.76/1.12  
% 0.76/1.12  Automatic Strategy Selection
% 0.76/1.12  
% 0.76/1.12  Clauses:
% 0.76/1.12  [
% 0.76/1.12     [ =( ld( X, mult( X, X ) ), X ) ],
% 0.76/1.12     [ =( rd( mult( X, X ), X ), X ) ],
% 0.76/1.12     [ =( mult( X, ld( X, Y ) ), ld( X, mult( X, Y ) ) ) ],
% 0.76/1.12     [ =( mult( rd( X, Y ), Y ), rd( mult( X, Y ), Y ) ) ],
% 0.76/1.12     [ =( ld( ld( X, Y ), mult( ld( X, Y ), mult( Z, T ) ) ), mult( ld( X, 
% 0.76/1.12    mult( X, Z ) ), T ) ) ],
% 0.76/1.12     [ =( rd( mult( mult( X, Y ), rd( Z, T ) ), rd( Z, T ) ), mult( X, rd( 
% 0.76/1.12    mult( Y, T ), T ) ) ) ],
% 0.76/1.12     [ =( ld( X, mult( X, ld( Y, Y ) ) ), rd( mult( rd( X, X ), Y ), Y ) ) ]
% 0.76/1.12    ,
% 0.76/1.12     [ ~( =( ld( ld( x0, x1 ), mult( ld( x0, x1 ), x2 ) ), ld( x0, mult( x0, 
% 0.76/1.12    x2 ) ) ) ) ]
% 0.76/1.12  ] .
% 0.76/1.12  
% 0.76/1.12  
% 0.76/1.12  percentage equality = 1.000000, percentage horn = 1.000000
% 0.76/1.12  This is a pure equality problem
% 0.76/1.12  
% 0.76/1.12  
% 0.76/1.12  
% 0.76/1.12  Options Used:
% 0.76/1.12  
% 0.76/1.12  useres =            1
% 0.76/1.12  useparamod =        1
% 0.76/1.12  useeqrefl =         1
% 0.76/1.12  useeqfact =         1
% 0.76/1.12  usefactor =         1
% 0.76/1.12  usesimpsplitting =  0
% 0.76/1.12  usesimpdemod =      5
% 0.76/1.12  usesimpres =        3
% 0.76/1.12  
% 0.76/1.12  resimpinuse      =  1000
% 0.76/1.12  resimpclauses =     20000
% 0.76/1.12  substype =          eqrewr
% 0.76/1.12  backwardsubs =      1
% 0.76/1.12  selectoldest =      5
% 0.76/1.12  
% 0.76/1.12  litorderings [0] =  split
% 0.76/1.12  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.76/1.12  
% 0.76/1.12  termordering =      kbo
% 0.76/1.12  
% 0.76/1.12  litapriori =        0
% 0.76/1.12  termapriori =       1
% 0.76/1.12  litaposteriori =    0
% 0.76/1.12  termaposteriori =   0
% 0.76/1.12  demodaposteriori =  0
% 0.76/1.12  ordereqreflfact =   0
% 0.76/1.12  
% 0.76/1.12  litselect =         negord
% 0.76/1.12  
% 0.76/1.12  maxweight =         15
% 0.76/1.12  maxdepth =          30000
% 0.76/1.12  maxlength =         115
% 0.76/1.12  maxnrvars =         195
% 0.76/1.12  excuselevel =       1
% 0.76/1.12  increasemaxweight = 1
% 0.76/1.12  
% 0.76/1.12  maxselected =       10000000
% 0.76/1.12  maxnrclauses =      10000000
% 0.76/1.12  
% 0.76/1.12  showgenerated =    0
% 0.76/1.12  showkept =         0
% 0.76/1.12  showselected =     0
% 0.76/1.12  showdeleted =      0
% 0.76/1.12  showresimp =       1
% 0.76/1.12  showstatus =       2000
% 0.76/1.12  
% 0.76/1.12  prologoutput =     1
% 0.76/1.12  nrgoals =          5000000
% 0.76/1.12  totalproof =       1
% 0.76/1.12  
% 0.76/1.12  Symbols occurring in the translation:
% 0.76/1.12  
% 0.76/1.12  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.76/1.12  .  [1, 2]      (w:1, o:21, a:1, s:1, b:0), 
% 0.76/1.12  !  [4, 1]      (w:0, o:16, a:1, s:1, b:0), 
% 0.76/1.12  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.76/1.12  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.76/1.12  mult  [40, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.76/1.12  ld  [41, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.76/1.12  rd  [42, 2]      (w:1, o:48, a:1, s:1, b:0), 
% 0.76/1.12  x0  [46, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.76/1.12  x1  [47, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.76/1.12  x2  [48, 0]      (w:1, o:15, a:1, s:1, b:0).
% 0.76/1.12  
% 0.76/1.12  
% 0.76/1.12  Starting Search:
% 0.76/1.12  
% 0.76/1.12  
% 0.76/1.12  Bliksems!, er is een bewijs:
% 0.76/1.12  % SZS status Unsatisfiable
% 0.76/1.12  % SZS output start Refutation
% 0.76/1.12  
% 0.76/1.12  clause( 0, [ =( ld( X, mult( X, X ) ), X ) ] )
% 0.76/1.12  .
% 0.76/1.12  clause( 1, [ =( rd( mult( X, X ), X ), X ) ] )
% 0.76/1.12  .
% 0.76/1.12  clause( 3, [ =( rd( mult( X, Y ), Y ), mult( rd( X, Y ), Y ) ) ] )
% 0.76/1.12  .
% 0.76/1.12  clause( 4, [ =( ld( ld( X, Y ), mult( ld( X, Y ), mult( Z, T ) ) ), mult( 
% 0.76/1.12    ld( X, mult( X, Z ) ), T ) ) ] )
% 0.76/1.12  .
% 0.76/1.12  clause( 7, [ ~( =( ld( ld( x0, x1 ), mult( ld( x0, x1 ), x2 ) ), ld( x0, 
% 0.76/1.12    mult( x0, x2 ) ) ) ) ] )
% 0.76/1.12  .
% 0.76/1.12  clause( 8, [ =( mult( rd( X, X ), X ), X ) ] )
% 0.76/1.12  .
% 0.76/1.12  clause( 20, [ =( mult( ld( X, mult( X, Y ) ), Z ), ld( X, mult( X, mult( Y
% 0.76/1.12    , Z ) ) ) ) ] )
% 0.76/1.12  .
% 0.76/1.12  clause( 21, [ =( ld( ld( Y, Z ), mult( ld( Y, Z ), X ) ), ld( Y, mult( Y, X
% 0.76/1.12     ) ) ) ] )
% 0.76/1.12  .
% 0.76/1.12  clause( 35, [] )
% 0.76/1.12  .
% 0.76/1.12  
% 0.76/1.12  
% 0.76/1.12  % SZS output end Refutation
% 0.76/1.12  found a proof!
% 0.76/1.12  
% 0.76/1.12  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.12  
% 0.76/1.12  initialclauses(
% 0.76/1.12  [ clause( 37, [ =( ld( X, mult( X, X ) ), X ) ] )
% 0.76/1.12  , clause( 38, [ =( rd( mult( X, X ), X ), X ) ] )
% 0.76/1.12  , clause( 39, [ =( mult( X, ld( X, Y ) ), ld( X, mult( X, Y ) ) ) ] )
% 0.76/1.12  , clause( 40, [ =( mult( rd( X, Y ), Y ), rd( mult( X, Y ), Y ) ) ] )
% 0.76/1.12  , clause( 41, [ =( ld( ld( X, Y ), mult( ld( X, Y ), mult( Z, T ) ) ), mult( 
% 0.76/1.12    ld( X, mult( X, Z ) ), T ) ) ] )
% 0.76/1.12  , clause( 42, [ =( rd( mult( mult( X, Y ), rd( Z, T ) ), rd( Z, T ) ), mult( 
% 0.76/1.12    X, rd( mult( Y, T ), T ) ) ) ] )
% 0.76/1.12  , clause( 43, [ =( ld( X, mult( X, ld( Y, Y ) ) ), rd( mult( rd( X, X ), Y
% 0.76/1.12     ), Y ) ) ] )
% 0.76/1.12  , clause( 44, [ ~( =( ld( ld( x0, x1 ), mult( ld( x0, x1 ), x2 ) ), ld( x0
% 0.76/1.12    , mult( x0, x2 ) ) ) ) ] )
% 0.76/1.12  ] ).
% 0.76/1.12  
% 0.76/1.12  
% 0.76/1.12  
% 0.76/1.12  subsumption(
% 0.76/1.12  clause( 0, [ =( ld( X, mult( X, X ) ), X ) ] )
% 0.76/1.12  , clause( 37, [ =( ld( X, mult( X, X ) ), X ) ] )
% 0.76/1.12  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.12  
% 0.76/1.12  
% 0.76/1.12  subsumption(
% 0.76/1.12  clause( 1, [ =( rd( mult( X, X ), X ), X ) ] )
% 0.76/1.12  , clause( 38, [ =( rd( mult( X, X ), X ), X ) ] )
% 0.76/1.12  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.12  
% 0.76/1.12  
% 0.76/1.12  eqswap(
% 0.76/1.12  clause( 51, [ =( rd( mult( X, Y ), Y ), mult( rd( X, Y ), Y ) ) ] )
% 0.76/1.12  , clause( 40, [ =( mult( rd( X, Y ), Y ), rd( mult( X, Y ), Y ) ) ] )
% 0.76/1.12  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.76/1.12  
% 0.76/1.12  
% 0.76/1.12  subsumption(
% 0.76/1.12  clause( 3, [ =( rd( mult( X, Y ), Y ), mult( rd( X, Y ), Y ) ) ] )
% 0.76/1.12  , clause( 51, [ =( rd( mult( X, Y ), Y ), mult( rd( X, Y ), Y ) ) ] )
% 0.76/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.12     )] ) ).
% 0.76/1.12  
% 0.76/1.12  
% 0.76/1.12  subsumption(
% 0.76/1.12  clause( 4, [ =( ld( ld( X, Y ), mult( ld( X, Y ), mult( Z, T ) ) ), mult( 
% 0.76/1.12    ld( X, mult( X, Z ) ), T ) ) ] )
% 0.76/1.12  , clause( 41, [ =( ld( ld( X, Y ), mult( ld( X, Y ), mult( Z, T ) ) ), mult( 
% 0.76/1.12    ld( X, mult( X, Z ) ), T ) ) ] )
% 0.76/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.76/1.12    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.12  
% 0.76/1.12  
% 0.76/1.12  subsumption(
% 0.76/1.12  clause( 7, [ ~( =( ld( ld( x0, x1 ), mult( ld( x0, x1 ), x2 ) ), ld( x0, 
% 0.76/1.12    mult( x0, x2 ) ) ) ) ] )
% 0.76/1.12  , clause( 44, [ ~( =( ld( ld( x0, x1 ), mult( ld( x0, x1 ), x2 ) ), ld( x0
% 0.76/1.12    , mult( x0, x2 ) ) ) ) ] )
% 0.76/1.12  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.12  
% 0.76/1.12  
% 0.76/1.12  paramod(
% 0.76/1.12  clause( 67, [ =( mult( rd( X, X ), X ), X ) ] )
% 0.76/1.12  , clause( 3, [ =( rd( mult( X, Y ), Y ), mult( rd( X, Y ), Y ) ) ] )
% 0.76/1.12  , 0, clause( 1, [ =( rd( mult( X, X ), X ), X ) ] )
% 0.76/1.12  , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ 
% 0.76/1.12    :=( X, X )] )).
% 0.76/1.12  
% 0.76/1.12  
% 0.76/1.12  subsumption(
% 0.76/1.12  clause( 8, [ =( mult( rd( X, X ), X ), X ) ] )
% 0.76/1.12  , clause( 67, [ =( mult( rd( X, X ), X ), X ) ] )
% 0.76/1.12  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.12  
% 0.76/1.12  
% 0.76/1.12  eqswap(
% 0.76/1.12  clause( 70, [ =( mult( ld( X, mult( X, Z ) ), T ), ld( ld( X, Y ), mult( ld( 
% 0.76/1.12    X, Y ), mult( Z, T ) ) ) ) ] )
% 0.76/1.12  , clause( 4, [ =( ld( ld( X, Y ), mult( ld( X, Y ), mult( Z, T ) ) ), mult( 
% 0.76/1.12    ld( X, mult( X, Z ) ), T ) ) ] )
% 0.76/1.12  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.76/1.12    ).
% 0.76/1.12  
% 0.76/1.12  
% 0.76/1.12  paramod(
% 0.76/1.12  clause( 73, [ =( mult( ld( X, mult( X, Y ) ), Z ), ld( ld( X, mult( X, X )
% 0.76/1.13     ), mult( X, mult( Y, Z ) ) ) ) ] )
% 0.76/1.13  , clause( 0, [ =( ld( X, mult( X, X ) ), X ) ] )
% 0.76/1.13  , 0, clause( 70, [ =( mult( ld( X, mult( X, Z ) ), T ), ld( ld( X, Y ), 
% 0.76/1.13    mult( ld( X, Y ), mult( Z, T ) ) ) ) ] )
% 0.76/1.13  , 0, 15, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), 
% 0.76/1.13    :=( Y, mult( X, X ) ), :=( Z, Y ), :=( T, Z )] )).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  paramod(
% 0.76/1.13  clause( 74, [ =( mult( ld( X, mult( X, Y ) ), Z ), ld( X, mult( X, mult( Y
% 0.76/1.13    , Z ) ) ) ) ] )
% 0.76/1.13  , clause( 0, [ =( ld( X, mult( X, X ) ), X ) ] )
% 0.76/1.13  , 0, clause( 73, [ =( mult( ld( X, mult( X, Y ) ), Z ), ld( ld( X, mult( X
% 0.76/1.13    , X ) ), mult( X, mult( Y, Z ) ) ) ) ] )
% 0.76/1.13  , 0, 9, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), 
% 0.76/1.13    :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  subsumption(
% 0.76/1.13  clause( 20, [ =( mult( ld( X, mult( X, Y ) ), Z ), ld( X, mult( X, mult( Y
% 0.76/1.13    , Z ) ) ) ) ] )
% 0.76/1.13  , clause( 74, [ =( mult( ld( X, mult( X, Y ) ), Z ), ld( X, mult( X, mult( 
% 0.76/1.13    Y, Z ) ) ) ) ] )
% 0.76/1.13  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.76/1.13    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  eqswap(
% 0.76/1.13  clause( 80, [ =( mult( ld( X, mult( X, Z ) ), T ), ld( ld( X, Y ), mult( ld( 
% 0.76/1.13    X, Y ), mult( Z, T ) ) ) ) ] )
% 0.76/1.13  , clause( 4, [ =( ld( ld( X, Y ), mult( ld( X, Y ), mult( Z, T ) ) ), mult( 
% 0.76/1.13    ld( X, mult( X, Z ) ), T ) ) ] )
% 0.76/1.13  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.76/1.13    ).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  paramod(
% 0.76/1.13  clause( 84, [ =( mult( ld( X, mult( X, rd( Y, Y ) ) ), Y ), ld( ld( X, Z )
% 0.76/1.13    , mult( ld( X, Z ), Y ) ) ) ] )
% 0.76/1.13  , clause( 8, [ =( mult( rd( X, X ), X ), X ) ] )
% 0.76/1.13  , 0, clause( 80, [ =( mult( ld( X, mult( X, Z ) ), T ), ld( ld( X, Y ), 
% 0.76/1.13    mult( ld( X, Y ), mult( Z, T ) ) ) ) ] )
% 0.76/1.13  , 0, 18, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ), 
% 0.76/1.13    :=( Y, Z ), :=( Z, rd( Y, Y ) ), :=( T, Y )] )).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  paramod(
% 0.76/1.13  clause( 85, [ =( ld( X, mult( X, mult( rd( Y, Y ), Y ) ) ), ld( ld( X, Z )
% 0.76/1.13    , mult( ld( X, Z ), Y ) ) ) ] )
% 0.76/1.13  , clause( 20, [ =( mult( ld( X, mult( X, Y ) ), Z ), ld( X, mult( X, mult( 
% 0.76/1.13    Y, Z ) ) ) ) ] )
% 0.76/1.13  , 0, clause( 84, [ =( mult( ld( X, mult( X, rd( Y, Y ) ) ), Y ), ld( ld( X
% 0.76/1.13    , Z ), mult( ld( X, Z ), Y ) ) ) ] )
% 0.76/1.13  , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, rd( Y, Y ) ), :=( Z, Y )] ), 
% 0.76/1.13    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  paramod(
% 0.76/1.13  clause( 86, [ =( ld( X, mult( X, Y ) ), ld( ld( X, Z ), mult( ld( X, Z ), Y
% 0.76/1.13     ) ) ) ] )
% 0.76/1.13  , clause( 8, [ =( mult( rd( X, X ), X ), X ) ] )
% 0.76/1.13  , 0, clause( 85, [ =( ld( X, mult( X, mult( rd( Y, Y ), Y ) ) ), ld( ld( X
% 0.76/1.13    , Z ), mult( ld( X, Z ), Y ) ) ) ] )
% 0.76/1.13  , 0, 5, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X ), 
% 0.76/1.13    :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  eqswap(
% 0.76/1.13  clause( 87, [ =( ld( ld( X, Z ), mult( ld( X, Z ), Y ) ), ld( X, mult( X, Y
% 0.76/1.13     ) ) ) ] )
% 0.76/1.13  , clause( 86, [ =( ld( X, mult( X, Y ) ), ld( ld( X, Z ), mult( ld( X, Z )
% 0.76/1.13    , Y ) ) ) ] )
% 0.76/1.13  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  subsumption(
% 0.76/1.13  clause( 21, [ =( ld( ld( Y, Z ), mult( ld( Y, Z ), X ) ), ld( Y, mult( Y, X
% 0.76/1.13     ) ) ) ] )
% 0.76/1.13  , clause( 87, [ =( ld( ld( X, Z ), mult( ld( X, Z ), Y ) ), ld( X, mult( X
% 0.76/1.13    , Y ) ) ) ] )
% 0.76/1.13  , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ), 
% 0.76/1.13    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  paramod(
% 0.76/1.13  clause( 90, [ ~( =( ld( x0, mult( x0, x2 ) ), ld( x0, mult( x0, x2 ) ) ) )
% 0.76/1.13     ] )
% 0.76/1.13  , clause( 21, [ =( ld( ld( Y, Z ), mult( ld( Y, Z ), X ) ), ld( Y, mult( Y
% 0.76/1.13    , X ) ) ) ] )
% 0.76/1.13  , 0, clause( 7, [ ~( =( ld( ld( x0, x1 ), mult( ld( x0, x1 ), x2 ) ), ld( 
% 0.76/1.13    x0, mult( x0, x2 ) ) ) ) ] )
% 0.76/1.13  , 0, 2, substitution( 0, [ :=( X, x2 ), :=( Y, x0 ), :=( Z, x1 )] ), 
% 0.76/1.13    substitution( 1, [] )).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  eqrefl(
% 0.76/1.13  clause( 91, [] )
% 0.76/1.13  , clause( 90, [ ~( =( ld( x0, mult( x0, x2 ) ), ld( x0, mult( x0, x2 ) ) )
% 0.76/1.13     ) ] )
% 0.76/1.13  , 0, substitution( 0, [] )).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  subsumption(
% 0.76/1.13  clause( 35, [] )
% 0.76/1.13  , clause( 91, [] )
% 0.76/1.13  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  end.
% 0.76/1.13  
% 0.76/1.13  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.13  
% 0.76/1.13  Memory use:
% 0.76/1.13  
% 0.76/1.13  space for terms:        747
% 0.76/1.13  space for clauses:      5130
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  clauses generated:      245
% 0.76/1.13  clauses kept:           36
% 0.76/1.13  clauses selected:       18
% 0.76/1.13  clauses deleted:        3
% 0.76/1.13  clauses inuse deleted:  0
% 0.76/1.13  
% 0.76/1.13  subsentry:          207
% 0.76/1.13  literals s-matched: 84
% 0.76/1.13  literals matched:   82
% 0.76/1.13  full subsumption:   0
% 0.76/1.13  
% 0.76/1.13  checksum:           544695760
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  Bliksem ended
%------------------------------------------------------------------------------