TSTP Solution File: GRP008-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GRP008-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n029.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 07:34:16 EDT 2022

% Result   : Unsatisfiable 0.72s 1.08s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n029.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 : Mon Jun 13 18:04:40 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.72/1.08  *** allocated 10000 integers for termspace/termends
% 0.72/1.08  *** allocated 10000 integers for clauses
% 0.72/1.08  *** allocated 10000 integers for justifications
% 0.72/1.08  Bliksem 1.12
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  Automatic Strategy Selection
% 0.72/1.08  
% 0.72/1.08  Clauses:
% 0.72/1.08  [
% 0.72/1.08     [ product( identity, X, X ) ],
% 0.72/1.08     [ product( X, identity, X ) ],
% 0.72/1.08     [ product( inverse( X ), X, identity ) ],
% 0.72/1.08     [ product( X, inverse( X ), identity ) ],
% 0.72/1.08     [ product( X, Y, multiply( X, Y ) ) ],
% 0.72/1.08     [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ],
% 0.72/1.08     [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.72/1.08     ) ), product( X, U, W ) ],
% 0.72/1.08     [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.72/1.08     ) ), product( Z, T, W ) ],
% 0.72/1.08     [ ~( q( X ) ), ~( product( X, Y, Z ) ), product( Y, X, Z ) ],
% 0.72/1.08     [ product( j( X ), X, h( X ) ), product( X, j( X ), h( X ) ), q( X ) ]
% 0.72/1.08    ,
% 0.72/1.08     [ ~( product( j( X ), X, h( X ) ) ), ~( product( X, j( X ), h( X ) ) ), 
% 0.72/1.08    q( X ) ],
% 0.72/1.08     [ ~( q( identity ) ) ]
% 0.72/1.08  ] .
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  percentage equality = 0.038462, percentage horn = 0.916667
% 0.72/1.08  This is a problem with some equality
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  Options Used:
% 0.72/1.08  
% 0.72/1.08  useres =            1
% 0.72/1.08  useparamod =        1
% 0.72/1.08  useeqrefl =         1
% 0.72/1.08  useeqfact =         1
% 0.72/1.08  usefactor =         1
% 0.72/1.08  usesimpsplitting =  0
% 0.72/1.08  usesimpdemod =      5
% 0.72/1.08  usesimpres =        3
% 0.72/1.08  
% 0.72/1.08  resimpinuse      =  1000
% 0.72/1.08  resimpclauses =     20000
% 0.72/1.08  substype =          eqrewr
% 0.72/1.08  backwardsubs =      1
% 0.72/1.08  selectoldest =      5
% 0.72/1.08  
% 0.72/1.08  litorderings [0] =  split
% 0.72/1.08  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.72/1.08  
% 0.72/1.08  termordering =      kbo
% 0.72/1.08  
% 0.72/1.08  litapriori =        0
% 0.72/1.08  termapriori =       1
% 0.72/1.08  litaposteriori =    0
% 0.72/1.08  termaposteriori =   0
% 0.72/1.08  demodaposteriori =  0
% 0.72/1.08  ordereqreflfact =   0
% 0.72/1.08  
% 0.72/1.08  litselect =         negord
% 0.72/1.08  
% 0.72/1.08  maxweight =         15
% 0.72/1.08  maxdepth =          30000
% 0.72/1.08  maxlength =         115
% 0.72/1.08  maxnrvars =         195
% 0.72/1.08  excuselevel =       1
% 0.72/1.08  increasemaxweight = 1
% 0.72/1.08  
% 0.72/1.08  maxselected =       10000000
% 0.72/1.08  maxnrclauses =      10000000
% 0.72/1.08  
% 0.72/1.08  showgenerated =    0
% 0.72/1.08  showkept =         0
% 0.72/1.08  showselected =     0
% 0.72/1.08  showdeleted =      0
% 0.72/1.08  showresimp =       1
% 0.72/1.08  showstatus =       2000
% 0.72/1.08  
% 0.72/1.08  prologoutput =     1
% 0.72/1.08  nrgoals =          5000000
% 0.72/1.08  totalproof =       1
% 0.72/1.08  
% 0.72/1.08  Symbols occurring in the translation:
% 0.72/1.08  
% 0.72/1.08  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.72/1.08  .  [1, 2]      (w:1, o:28, a:1, s:1, b:0), 
% 0.72/1.08  !  [4, 1]      (w:0, o:19, a:1, s:1, b:0), 
% 0.72/1.08  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.72/1.08  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.72/1.08  identity  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.72/1.08  product  [41, 3]      (w:1, o:54, a:1, s:1, b:0), 
% 0.72/1.08  inverse  [42, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.72/1.08  multiply  [44, 2]      (w:1, o:53, a:1, s:1, b:0), 
% 0.72/1.08  q  [50, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 0.72/1.08  j  [53, 1]      (w:1, o:27, a:1, s:1, b:0), 
% 0.72/1.08  h  [54, 1]      (w:1, o:24, a:1, s:1, b:0).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  Starting Search:
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  Bliksems!, er is een bewijs:
% 0.72/1.08  % SZS status Unsatisfiable
% 0.72/1.08  % SZS output start Refutation
% 0.72/1.08  
% 0.72/1.08  clause( 0, [ product( identity, X, X ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 1, [ product( X, identity, X ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.72/1.08     )
% 0.72/1.08  .
% 0.72/1.08  clause( 9, [ product( j( X ), X, h( X ) ), product( X, j( X ), h( X ) ), q( 
% 0.72/1.08    X ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 10, [ ~( product( j( X ), X, h( X ) ) ), ~( product( X, j( X ), h( 
% 0.72/1.08    X ) ) ), q( X ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 11, [ ~( q( identity ) ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 24, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 25, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 195, [ q( identity ), =( j( identity ), h( identity ) ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 219, [ =( j( identity ), h( identity ) ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 239, [ ~( product( identity, h( identity ), h( identity ) ) ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 244, [] )
% 0.72/1.08  .
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  % SZS output end Refutation
% 0.72/1.08  found a proof!
% 0.72/1.08  
% 0.72/1.08  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.08  
% 0.72/1.08  initialclauses(
% 0.72/1.08  [ clause( 246, [ product( identity, X, X ) ] )
% 0.72/1.08  , clause( 247, [ product( X, identity, X ) ] )
% 0.72/1.08  , clause( 248, [ product( inverse( X ), X, identity ) ] )
% 0.72/1.08  , clause( 249, [ product( X, inverse( X ), identity ) ] )
% 0.72/1.08  , clause( 250, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.72/1.08  , clause( 251, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.72/1.08     ) ] )
% 0.72/1.08  , clause( 252, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( 
% 0.72/1.08    product( Z, T, W ) ), product( X, U, W ) ] )
% 0.72/1.08  , clause( 253, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( 
% 0.72/1.08    product( X, U, W ) ), product( Z, T, W ) ] )
% 0.72/1.08  , clause( 254, [ ~( q( X ) ), ~( product( X, Y, Z ) ), product( Y, X, Z ) ]
% 0.72/1.08     )
% 0.72/1.08  , clause( 255, [ product( j( X ), X, h( X ) ), product( X, j( X ), h( X ) )
% 0.72/1.08    , q( X ) ] )
% 0.72/1.08  , clause( 256, [ ~( product( j( X ), X, h( X ) ) ), ~( product( X, j( X ), 
% 0.72/1.08    h( X ) ) ), q( X ) ] )
% 0.72/1.08  , clause( 257, [ ~( q( identity ) ) ] )
% 0.72/1.08  ] ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 0, [ product( identity, X, X ) ] )
% 0.72/1.08  , clause( 246, [ product( identity, X, X ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 1, [ product( X, identity, X ) ] )
% 0.72/1.08  , clause( 247, [ product( X, identity, X ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T ) ]
% 0.72/1.08     )
% 0.72/1.08  , clause( 251, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T
% 0.72/1.08     ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.72/1.08    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 9, [ product( j( X ), X, h( X ) ), product( X, j( X ), h( X ) ), q( 
% 0.72/1.08    X ) ] )
% 0.72/1.08  , clause( 255, [ product( j( X ), X, h( X ) ), product( X, j( X ), h( X ) )
% 0.72/1.08    , q( X ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.72/1.08    1 ), ==>( 2, 2 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 10, [ ~( product( j( X ), X, h( X ) ) ), ~( product( X, j( X ), h( 
% 0.72/1.08    X ) ) ), q( X ) ] )
% 0.72/1.08  , clause( 256, [ ~( product( j( X ), X, h( X ) ) ), ~( product( X, j( X ), 
% 0.72/1.08    h( X ) ) ), q( X ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.72/1.08    1 ), ==>( 2, 2 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 11, [ ~( q( identity ) ) ] )
% 0.72/1.08  , clause( 257, [ ~( q( identity ) ) ] )
% 0.72/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  resolution(
% 0.72/1.08  clause( 286, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 0.72/1.08  , clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 0.72/1.08     ] )
% 0.72/1.08  , 0, clause( 0, [ product( identity, X, X ) ] )
% 0.72/1.08  , 0, substitution( 0, [ :=( X, identity ), :=( Y, X ), :=( Z, X ), :=( T, Y
% 0.72/1.08     )] ), substitution( 1, [ :=( X, X )] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 24, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 0.72/1.08  , clause( 286, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08     ), ==>( 1, 1 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  resolution(
% 0.72/1.08  clause( 288, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 0.72/1.08  , clause( 5, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), =( Z, T )
% 0.72/1.08     ] )
% 0.72/1.08  , 0, clause( 1, [ product( X, identity, X ) ] )
% 0.72/1.08  , 0, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, X ), :=( T, Y
% 0.72/1.08     )] ), substitution( 1, [ :=( X, X )] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 25, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 0.72/1.08  , clause( 288, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08     ), ==>( 1, 1 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  eqswap(
% 0.72/1.08  clause( 290, [ =( Y, X ), ~( product( X, identity, Y ) ) ] )
% 0.72/1.08  , clause( 25, [ ~( product( X, identity, Y ) ), =( X, Y ) ] )
% 0.72/1.08  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  resolution(
% 0.72/1.08  clause( 292, [ =( h( identity ), j( identity ) ), product( identity, j( 
% 0.72/1.08    identity ), h( identity ) ), q( identity ) ] )
% 0.72/1.08  , clause( 290, [ =( Y, X ), ~( product( X, identity, Y ) ) ] )
% 0.72/1.08  , 1, clause( 9, [ product( j( X ), X, h( X ) ), product( X, j( X ), h( X )
% 0.72/1.08     ), q( X ) ] )
% 0.72/1.08  , 0, substitution( 0, [ :=( X, j( identity ) ), :=( Y, h( identity ) )] ), 
% 0.72/1.08    substitution( 1, [ :=( X, identity )] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  resolution(
% 0.72/1.08  clause( 295, [ =( j( identity ), h( identity ) ), =( h( identity ), j( 
% 0.72/1.08    identity ) ), q( identity ) ] )
% 0.72/1.08  , clause( 24, [ ~( product( identity, X, Y ) ), =( X, Y ) ] )
% 0.72/1.08  , 0, clause( 292, [ =( h( identity ), j( identity ) ), product( identity, j( 
% 0.72/1.08    identity ), h( identity ) ), q( identity ) ] )
% 0.72/1.08  , 1, substitution( 0, [ :=( X, j( identity ) ), :=( Y, h( identity ) )] ), 
% 0.72/1.08    substitution( 1, [] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  eqswap(
% 0.72/1.08  clause( 297, [ =( j( identity ), h( identity ) ), =( j( identity ), h( 
% 0.72/1.08    identity ) ), q( identity ) ] )
% 0.72/1.08  , clause( 295, [ =( j( identity ), h( identity ) ), =( h( identity ), j( 
% 0.72/1.08    identity ) ), q( identity ) ] )
% 0.72/1.08  , 1, substitution( 0, [] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  factor(
% 0.72/1.08  clause( 299, [ =( j( identity ), h( identity ) ), q( identity ) ] )
% 0.72/1.08  , clause( 297, [ =( j( identity ), h( identity ) ), =( j( identity ), h( 
% 0.72/1.08    identity ) ), q( identity ) ] )
% 0.72/1.08  , 0, 1, substitution( 0, [] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 195, [ q( identity ), =( j( identity ), h( identity ) ) ] )
% 0.72/1.08  , clause( 299, [ =( j( identity ), h( identity ) ), q( identity ) ] )
% 0.72/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 0.72/1.08     ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  resolution(
% 0.72/1.08  clause( 301, [ =( j( identity ), h( identity ) ) ] )
% 0.72/1.08  , clause( 11, [ ~( q( identity ) ) ] )
% 0.72/1.08  , 0, clause( 195, [ q( identity ), =( j( identity ), h( identity ) ) ] )
% 0.72/1.08  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 219, [ =( j( identity ), h( identity ) ) ] )
% 0.72/1.08  , clause( 301, [ =( j( identity ), h( identity ) ) ] )
% 0.72/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  resolution(
% 0.72/1.08  clause( 305, [ ~( product( j( identity ), identity, h( identity ) ) ), ~( 
% 0.72/1.08    product( identity, j( identity ), h( identity ) ) ) ] )
% 0.72/1.08  , clause( 11, [ ~( q( identity ) ) ] )
% 0.72/1.08  , 0, clause( 10, [ ~( product( j( X ), X, h( X ) ) ), ~( product( X, j( X )
% 0.72/1.08    , h( X ) ) ), q( X ) ] )
% 0.72/1.08  , 2, substitution( 0, [] ), substitution( 1, [ :=( X, identity )] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  paramod(
% 0.72/1.08  clause( 307, [ ~( product( identity, h( identity ), h( identity ) ) ), ~( 
% 0.72/1.08    product( j( identity ), identity, h( identity ) ) ) ] )
% 0.72/1.08  , clause( 219, [ =( j( identity ), h( identity ) ) ] )
% 0.72/1.08  , 0, clause( 305, [ ~( product( j( identity ), identity, h( identity ) ) )
% 0.72/1.08    , ~( product( identity, j( identity ), h( identity ) ) ) ] )
% 0.72/1.08  , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  paramod(
% 0.72/1.08  clause( 309, [ ~( product( h( identity ), identity, h( identity ) ) ), ~( 
% 0.72/1.08    product( identity, h( identity ), h( identity ) ) ) ] )
% 0.72/1.08  , clause( 219, [ =( j( identity ), h( identity ) ) ] )
% 0.72/1.08  , 0, clause( 307, [ ~( product( identity, h( identity ), h( identity ) ) )
% 0.72/1.08    , ~( product( j( identity ), identity, h( identity ) ) ) ] )
% 0.72/1.08  , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  resolution(
% 0.72/1.08  clause( 310, [ ~( product( identity, h( identity ), h( identity ) ) ) ] )
% 0.72/1.08  , clause( 309, [ ~( product( h( identity ), identity, h( identity ) ) ), 
% 0.72/1.08    ~( product( identity, h( identity ), h( identity ) ) ) ] )
% 0.72/1.08  , 0, clause( 1, [ product( X, identity, X ) ] )
% 0.72/1.08  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, h( identity ) )] )
% 0.72/1.08    ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 239, [ ~( product( identity, h( identity ), h( identity ) ) ) ] )
% 0.72/1.08  , clause( 310, [ ~( product( identity, h( identity ), h( identity ) ) ) ]
% 0.72/1.08     )
% 0.72/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  resolution(
% 0.72/1.08  clause( 311, [] )
% 0.72/1.08  , clause( 239, [ ~( product( identity, h( identity ), h( identity ) ) ) ]
% 0.72/1.08     )
% 0.72/1.08  , 0, clause( 0, [ product( identity, X, X ) ] )
% 0.72/1.08  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, h( identity ) )] )
% 0.72/1.08    ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 244, [] )
% 0.72/1.08  , clause( 311, [] )
% 0.72/1.08  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  end.
% 0.72/1.08  
% 0.72/1.08  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.08  
% 0.72/1.08  Memory use:
% 0.72/1.08  
% 0.72/1.08  space for terms:        4015
% 0.72/1.08  space for clauses:      10531
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  clauses generated:      802
% 0.72/1.08  clauses kept:           245
% 0.72/1.08  clauses selected:       24
% 0.72/1.08  clauses deleted:        3
% 0.72/1.08  clauses inuse deleted:  0
% 0.72/1.08  
% 0.72/1.08  subsentry:          5741
% 0.72/1.08  literals s-matched: 1860
% 0.72/1.08  literals matched:   1713
% 0.72/1.08  full subsumption:   1347
% 0.72/1.08  
% 0.72/1.08  checksum:           1141302479
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  Bliksem ended
%------------------------------------------------------------------------------