TSTP Solution File: GRP029-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GRP029-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n023.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 07:34:26 EDT 2022

% Result   : Unsatisfiable 0.85s 1.25s
% Output   : Refutation 0.85s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP029-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Tue Jun 14 03:15:36 EDT 2022
% 0.20/0.34  % CPUTime  : 
% 0.85/1.25  *** allocated 10000 integers for termspace/termends
% 0.85/1.25  *** allocated 10000 integers for clauses
% 0.85/1.25  *** allocated 10000 integers for justifications
% 0.85/1.25  Bliksem 1.12
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  Automatic Strategy Selection
% 0.85/1.25  
% 0.85/1.25  Clauses:
% 0.85/1.25  [
% 0.85/1.25     [ equalish( X, X ) ],
% 0.85/1.25     [ ~( equalish( X, Y ) ), equalish( Y, X ) ],
% 0.85/1.25     [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish( X, Z ) ],
% 0.85/1.25     [ ~( equalish( X, Y ) ), equalish( multiply( X, Z ), multiply( Y, Z ) )
% 0.85/1.25     ],
% 0.85/1.25     [ ~( equalish( X, Y ) ), equalish( multiply( Z, X ), multiply( Z, Y ) )
% 0.85/1.25     ],
% 0.85/1.25     [ ~( equalish( X, Y ) ), ~( product( X, Z, T ) ), product( Y, Z, T ) ]
% 0.85/1.25    ,
% 0.85/1.25     [ ~( equalish( X, Y ) ), ~( product( Z, X, T ) ), product( Z, Y, T ) ]
% 0.85/1.25    ,
% 0.85/1.25     [ ~( equalish( X, Y ) ), ~( product( Z, T, X ) ), product( Z, T, Y ) ]
% 0.85/1.25    ,
% 0.85/1.25     [ ~( equalish( X, Y ) ), equalish( inverse( X ), inverse( Y ) ) ],
% 0.85/1.25     [ product( X, Y, multiply( X, Y ) ) ],
% 0.85/1.25     [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), equalish( Z, T ) ]
% 0.85/1.25    ,
% 0.85/1.25     [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( Z, T, W
% 0.85/1.25     ) ), product( X, U, W ) ],
% 0.85/1.25     [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( product( X, U, W
% 0.85/1.25     ) ), product( Z, T, W ) ],
% 0.85/1.25     [ product( identity, X, X ) ],
% 0.85/1.25     [ product( inverse( X ), X, identity ) ],
% 0.85/1.25     [ ~( product( 'not_right_identity'( X ), X, 'not_right_identity'( X ) )
% 0.85/1.25     ) ]
% 0.85/1.25  ] .
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  percentage equality = 0.000000, percentage horn = 1.000000
% 0.85/1.25  This is a near-Horn, non-equality  problem
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  Options Used:
% 0.85/1.25  
% 0.85/1.25  useres =            1
% 0.85/1.25  useparamod =        0
% 0.85/1.25  useeqrefl =         0
% 0.85/1.25  useeqfact =         0
% 0.85/1.25  usefactor =         1
% 0.85/1.25  usesimpsplitting =  0
% 0.85/1.25  usesimpdemod =      0
% 0.85/1.25  usesimpres =        4
% 0.85/1.25  
% 0.85/1.25  resimpinuse      =  1000
% 0.85/1.25  resimpclauses =     20000
% 0.85/1.25  substype =          standard
% 0.85/1.25  backwardsubs =      1
% 0.85/1.25  selectoldest =      5
% 0.85/1.25  
% 0.85/1.25  litorderings [0] =  split
% 0.85/1.25  litorderings [1] =  liftord
% 0.85/1.25  
% 0.85/1.25  termordering =      none
% 0.85/1.25  
% 0.85/1.25  litapriori =        1
% 0.85/1.25  termapriori =       0
% 0.85/1.25  litaposteriori =    0
% 0.85/1.25  termaposteriori =   0
% 0.85/1.25  demodaposteriori =  0
% 0.85/1.25  ordereqreflfact =   0
% 0.85/1.25  
% 0.85/1.25  litselect =         negative
% 0.85/1.25  
% 0.85/1.25  maxweight =         30000
% 0.85/1.25  maxdepth =          30000
% 0.85/1.25  maxlength =         115
% 0.85/1.25  maxnrvars =         195
% 0.85/1.25  excuselevel =       0
% 0.85/1.25  increasemaxweight = 0
% 0.85/1.25  
% 0.85/1.25  maxselected =       10000000
% 0.85/1.25  maxnrclauses =      10000000
% 0.85/1.25  
% 0.85/1.25  showgenerated =    0
% 0.85/1.25  showkept =         0
% 0.85/1.25  showselected =     0
% 0.85/1.25  showdeleted =      0
% 0.85/1.25  showresimp =       1
% 0.85/1.25  showstatus =       2000
% 0.85/1.25  
% 0.85/1.25  prologoutput =     1
% 0.85/1.25  nrgoals =          5000000
% 0.85/1.25  totalproof =       1
% 0.85/1.25  
% 0.85/1.25  Symbols occurring in the translation:
% 0.85/1.25  
% 0.85/1.25  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.85/1.25  .  [1, 2]      (w:1, o:24, a:1, s:1, b:0), 
% 0.85/1.25  !  [4, 1]      (w:1, o:17, a:1, s:1, b:0), 
% 0.85/1.25  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.85/1.25  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.85/1.25  equalish  [40, 2]      (w:1, o:49, a:1, s:1, b:0), 
% 0.85/1.25  multiply  [44, 2]      (w:1, o:50, a:1, s:1, b:0), 
% 0.85/1.25  product  [45, 3]      (w:1, o:51, a:1, s:1, b:0), 
% 0.85/1.25  inverse  [46, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.85/1.25  identity  [49, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.85/1.25  'not_right_identity'  [51, 1]      (w:1, o:23, a:1, s:1, b:0).
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  Starting Search:
% 0.85/1.25  
% 0.85/1.25  Resimplifying inuse:
% 0.85/1.25  Done
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  Intermediate Status:
% 0.85/1.25  Generated:    3207
% 0.85/1.25  Kept:         2008
% 0.85/1.25  Inuse:        234
% 0.85/1.25  Deleted:      9
% 0.85/1.25  Deletedinuse: 4
% 0.85/1.25  
% 0.85/1.25  Resimplifying inuse:
% 0.85/1.25  Done
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  Bliksems!, er is een bewijs:
% 0.85/1.25  % SZS status Unsatisfiable
% 0.85/1.25  % SZS output start Refutation
% 0.85/1.25  
% 0.85/1.25  clause( 11, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X
% 0.85/1.25    , U, W ), ~( product( Z, T, W ) ) ] )
% 0.85/1.25  .
% 0.85/1.25  clause( 12, [ ~( product( X, Y, Z ) ), ~( product( X, U, W ) ), product( Z
% 0.85/1.25    , T, W ), ~( product( Y, T, U ) ) ] )
% 0.85/1.25  .
% 0.85/1.25  clause( 13, [ product( identity, X, X ) ] )
% 0.85/1.25  .
% 0.85/1.25  clause( 14, [ product( inverse( X ), X, identity ) ] )
% 0.85/1.25  .
% 0.85/1.25  clause( 15, [ ~( product( 'not_right_identity'( X ), X, 
% 0.85/1.25    'not_right_identity'( X ) ) ) ] )
% 0.85/1.25  .
% 0.85/1.25  clause( 87, [ ~( product( X, Y, Z ) ), product( T, Z, Y ), ~( product( T, X
% 0.85/1.25    , identity ) ) ] )
% 0.85/1.25  .
% 0.85/1.25  clause( 126, [ ~( product( X, identity, Y ) ), product( Y, Z, T ), ~( 
% 0.85/1.25    product( X, Z, T ) ) ] )
% 0.85/1.25  .
% 0.85/1.25  clause( 127, [ product( Y, identity, Y ), ~( product( X, identity, Y ) ) ]
% 0.85/1.25     )
% 0.85/1.25  .
% 0.85/1.25  clause( 2404, [ product( inverse( X ), Z, Y ), ~( product( X, Y, Z ) ) ] )
% 0.85/1.25  .
% 0.85/1.25  clause( 2662, [ product( inverse( inverse( X ) ), identity, X ) ] )
% 0.85/1.25  .
% 0.85/1.25  clause( 2848, [ product( X, identity, X ) ] )
% 0.85/1.25  .
% 0.85/1.25  clause( 2868, [] )
% 0.85/1.25  .
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  % SZS output end Refutation
% 0.85/1.25  found a proof!
% 0.85/1.25  
% 0.85/1.25  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.85/1.25  
% 0.85/1.25  initialclauses(
% 0.85/1.25  [ clause( 2870, [ equalish( X, X ) ] )
% 0.85/1.25  , clause( 2871, [ ~( equalish( X, Y ) ), equalish( Y, X ) ] )
% 0.85/1.25  , clause( 2872, [ ~( equalish( X, Y ) ), ~( equalish( Y, Z ) ), equalish( X
% 0.85/1.25    , Z ) ] )
% 0.85/1.25  , clause( 2873, [ ~( equalish( X, Y ) ), equalish( multiply( X, Z ), 
% 0.85/1.25    multiply( Y, Z ) ) ] )
% 0.85/1.25  , clause( 2874, [ ~( equalish( X, Y ) ), equalish( multiply( Z, X ), 
% 0.85/1.25    multiply( Z, Y ) ) ] )
% 0.85/1.25  , clause( 2875, [ ~( equalish( X, Y ) ), ~( product( X, Z, T ) ), product( 
% 0.85/1.25    Y, Z, T ) ] )
% 0.85/1.25  , clause( 2876, [ ~( equalish( X, Y ) ), ~( product( Z, X, T ) ), product( 
% 0.85/1.25    Z, Y, T ) ] )
% 0.85/1.25  , clause( 2877, [ ~( equalish( X, Y ) ), ~( product( Z, T, X ) ), product( 
% 0.85/1.25    Z, T, Y ) ] )
% 0.85/1.25  , clause( 2878, [ ~( equalish( X, Y ) ), equalish( inverse( X ), inverse( Y
% 0.85/1.25     ) ) ] )
% 0.85/1.25  , clause( 2879, [ product( X, Y, multiply( X, Y ) ) ] )
% 0.85/1.25  , clause( 2880, [ ~( product( X, Y, Z ) ), ~( product( X, Y, T ) ), 
% 0.85/1.25    equalish( Z, T ) ] )
% 0.85/1.25  , clause( 2881, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( 
% 0.85/1.25    product( Z, T, W ) ), product( X, U, W ) ] )
% 0.85/1.25  , clause( 2882, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( 
% 0.85/1.25    product( X, U, W ) ), product( Z, T, W ) ] )
% 0.85/1.25  , clause( 2883, [ product( identity, X, X ) ] )
% 0.85/1.25  , clause( 2884, [ product( inverse( X ), X, identity ) ] )
% 0.85/1.25  , clause( 2885, [ ~( product( 'not_right_identity'( X ), X, 
% 0.85/1.25    'not_right_identity'( X ) ) ) ] )
% 0.85/1.25  ] ).
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  subsumption(
% 0.85/1.25  clause( 11, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( X
% 0.85/1.25    , U, W ), ~( product( Z, T, W ) ) ] )
% 0.85/1.25  , clause( 2881, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( 
% 0.85/1.25    product( Z, T, W ) ), product( X, U, W ) ] )
% 0.85/1.25  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.85/1.25    , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 0.85/1.25    , 3 ), ==>( 3, 2 )] ) ).
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  subsumption(
% 0.85/1.25  clause( 12, [ ~( product( X, Y, Z ) ), ~( product( X, U, W ) ), product( Z
% 0.85/1.25    , T, W ), ~( product( Y, T, U ) ) ] )
% 0.85/1.25  , clause( 2882, [ ~( product( X, Y, Z ) ), ~( product( Y, T, U ) ), ~( 
% 0.85/1.25    product( X, U, W ) ), product( Z, T, W ) ] )
% 0.85/1.25  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.85/1.25    , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 3 ), ==>( 2
% 0.85/1.25    , 1 ), ==>( 3, 2 )] ) ).
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  subsumption(
% 0.85/1.25  clause( 13, [ product( identity, X, X ) ] )
% 0.85/1.25  , clause( 2883, [ product( identity, X, X ) ] )
% 0.85/1.25  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  subsumption(
% 0.85/1.25  clause( 14, [ product( inverse( X ), X, identity ) ] )
% 0.85/1.25  , clause( 2884, [ product( inverse( X ), X, identity ) ] )
% 0.85/1.25  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  subsumption(
% 0.85/1.25  clause( 15, [ ~( product( 'not_right_identity'( X ), X, 
% 0.85/1.25    'not_right_identity'( X ) ) ) ] )
% 0.85/1.25  , clause( 2885, [ ~( product( 'not_right_identity'( X ), X, 
% 0.85/1.25    'not_right_identity'( X ) ) ) ] )
% 0.85/1.25  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  resolution(
% 0.85/1.25  clause( 2934, [ ~( product( X, Y, Z ) ), ~( product( T, X, identity ) ), 
% 0.85/1.25    product( T, Z, Y ) ] )
% 0.85/1.25  , clause( 11, [ ~( product( Y, T, U ) ), ~( product( X, Y, Z ) ), product( 
% 0.85/1.25    X, U, W ), ~( product( Z, T, W ) ) ] )
% 0.85/1.25  , 3, clause( 13, [ product( identity, X, X ) ] )
% 0.85/1.25  , 0, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, identity ), :=( T, Y
% 0.85/1.25     ), :=( U, Z ), :=( W, Y )] ), substitution( 1, [ :=( X, Y )] )).
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  subsumption(
% 0.85/1.25  clause( 87, [ ~( product( X, Y, Z ) ), product( T, Z, Y ), ~( product( T, X
% 0.85/1.25    , identity ) ) ] )
% 0.85/1.25  , clause( 2934, [ ~( product( X, Y, Z ) ), ~( product( T, X, identity ) ), 
% 0.85/1.25    product( T, Z, Y ) ] )
% 0.85/1.25  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.85/1.25    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  resolution(
% 0.85/1.25  clause( 2940, [ ~( product( X, identity, Y ) ), ~( product( X, Z, T ) ), 
% 0.85/1.25    product( Y, Z, T ) ] )
% 0.85/1.25  , clause( 12, [ ~( product( X, Y, Z ) ), ~( product( X, U, W ) ), product( 
% 0.85/1.25    Z, T, W ), ~( product( Y, T, U ) ) ] )
% 0.85/1.25  , 3, clause( 13, [ product( identity, X, X ) ] )
% 0.85/1.25  , 0, substitution( 0, [ :=( X, X ), :=( Y, identity ), :=( Z, Y ), :=( T, Z
% 0.85/1.25     ), :=( U, Z ), :=( W, T )] ), substitution( 1, [ :=( X, Z )] )).
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  subsumption(
% 0.85/1.25  clause( 126, [ ~( product( X, identity, Y ) ), product( Y, Z, T ), ~( 
% 0.85/1.25    product( X, Z, T ) ) ] )
% 0.85/1.25  , clause( 2940, [ ~( product( X, identity, Y ) ), ~( product( X, Z, T ) ), 
% 0.85/1.25    product( Y, Z, T ) ] )
% 0.85/1.25  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.85/1.25    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  factor(
% 0.85/1.25  clause( 2944, [ ~( product( X, identity, Y ) ), product( Y, identity, Y ) ]
% 0.85/1.25     )
% 0.85/1.25  , clause( 126, [ ~( product( X, identity, Y ) ), product( Y, Z, T ), ~( 
% 0.85/1.25    product( X, Z, T ) ) ] )
% 0.85/1.25  , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, identity ), :=( T
% 0.85/1.25    , Y )] )).
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  subsumption(
% 0.85/1.25  clause( 127, [ product( Y, identity, Y ), ~( product( X, identity, Y ) ) ]
% 0.85/1.25     )
% 0.85/1.25  , clause( 2944, [ ~( product( X, identity, Y ) ), product( Y, identity, Y )
% 0.85/1.25     ] )
% 0.85/1.25  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.85/1.25     ), ==>( 1, 0 )] ) ).
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  resolution(
% 0.85/1.25  clause( 2946, [ ~( product( X, Y, Z ) ), product( inverse( X ), Z, Y ) ] )
% 0.85/1.25  , clause( 87, [ ~( product( X, Y, Z ) ), product( T, Z, Y ), ~( product( T
% 0.85/1.25    , X, identity ) ) ] )
% 0.85/1.25  , 2, clause( 14, [ product( inverse( X ), X, identity ) ] )
% 0.85/1.25  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, inverse( 
% 0.85/1.25    X ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  subsumption(
% 0.85/1.25  clause( 2404, [ product( inverse( X ), Z, Y ), ~( product( X, Y, Z ) ) ] )
% 0.85/1.25  , clause( 2946, [ ~( product( X, Y, Z ) ), product( inverse( X ), Z, Y ) ]
% 0.85/1.25     )
% 0.85/1.25  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.85/1.25    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  resolution(
% 0.85/1.25  clause( 2947, [ product( inverse( inverse( X ) ), identity, X ) ] )
% 0.85/1.25  , clause( 2404, [ product( inverse( X ), Z, Y ), ~( product( X, Y, Z ) ) ]
% 0.85/1.25     )
% 0.85/1.25  , 1, clause( 14, [ product( inverse( X ), X, identity ) ] )
% 0.85/1.25  , 0, substitution( 0, [ :=( X, inverse( X ) ), :=( Y, X ), :=( Z, identity
% 0.85/1.25     )] ), substitution( 1, [ :=( X, X )] )).
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  subsumption(
% 0.85/1.25  clause( 2662, [ product( inverse( inverse( X ) ), identity, X ) ] )
% 0.85/1.25  , clause( 2947, [ product( inverse( inverse( X ) ), identity, X ) ] )
% 0.85/1.25  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  resolution(
% 0.85/1.25  clause( 2948, [ product( X, identity, X ) ] )
% 0.85/1.25  , clause( 127, [ product( Y, identity, Y ), ~( product( X, identity, Y ) )
% 0.85/1.25     ] )
% 0.85/1.25  , 1, clause( 2662, [ product( inverse( inverse( X ) ), identity, X ) ] )
% 0.85/1.25  , 0, substitution( 0, [ :=( X, inverse( inverse( X ) ) ), :=( Y, X )] ), 
% 0.85/1.25    substitution( 1, [ :=( X, X )] )).
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  subsumption(
% 0.85/1.25  clause( 2848, [ product( X, identity, X ) ] )
% 0.85/1.25  , clause( 2948, [ product( X, identity, X ) ] )
% 0.85/1.25  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  resolution(
% 0.85/1.25  clause( 2949, [] )
% 0.85/1.25  , clause( 15, [ ~( product( 'not_right_identity'( X ), X, 
% 0.85/1.25    'not_right_identity'( X ) ) ) ] )
% 0.85/1.25  , 0, clause( 2848, [ product( X, identity, X ) ] )
% 0.85/1.25  , 0, substitution( 0, [ :=( X, identity )] ), substitution( 1, [ :=( X, 
% 0.85/1.25    'not_right_identity'( identity ) )] )).
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  subsumption(
% 0.85/1.25  clause( 2868, [] )
% 0.85/1.25  , clause( 2949, [] )
% 0.85/1.25  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  end.
% 0.85/1.25  
% 0.85/1.25  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.85/1.25  
% 0.85/1.25  Memory use:
% 0.85/1.25  
% 0.85/1.25  space for terms:        38454
% 0.85/1.25  space for clauses:      184618
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  clauses generated:      4602
% 0.85/1.25  clauses kept:           2869
% 0.85/1.25  clauses selected:       285
% 0.85/1.25  clauses deleted:        16
% 0.85/1.25  clauses inuse deleted:  7
% 0.85/1.25  
% 0.85/1.25  subsentry:          12247
% 0.85/1.25  literals s-matched: 5001
% 0.85/1.25  literals matched:   4656
% 0.85/1.25  full subsumption:   627
% 0.85/1.25  
% 0.85/1.25  checksum:           -482969290
% 0.85/1.25  
% 0.85/1.25  
% 0.85/1.25  Bliksem ended
%------------------------------------------------------------------------------