TSTP Solution File: CAT005-4 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : CAT005-4 : TPTP v8.1.0. Released v1.0.0.
% 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 : Thu Jul 14 23:54:10 EDT 2022

% Result   : Unsatisfiable 0.43s 1.06s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : CAT005-4 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Sun May 29 17:14:09 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.43/1.06  *** allocated 10000 integers for termspace/termends
% 0.43/1.06  *** allocated 10000 integers for clauses
% 0.43/1.06  *** allocated 10000 integers for justifications
% 0.43/1.06  Bliksem 1.12
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  Automatic Strategy Selection
% 0.43/1.06  
% 0.43/1.06  Clauses:
% 0.43/1.06  [
% 0.43/1.06     [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ],
% 0.43/1.06     [ ~( equivalent( X, Y ) ), =( X, Y ) ],
% 0.43/1.06     [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ],
% 0.43/1.06     [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ],
% 0.43/1.06     [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ],
% 0.43/1.06     [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain( X ) )
% 0.43/1.06     ],
% 0.43/1.06     [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ), codomain( Y )
% 0.43/1.06     ) ],
% 0.43/1.06     [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ), codomain( Y ) )
% 0.43/1.06     ), 'there_exists'( compose( X, Y ) ) ],
% 0.43/1.06     [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z ) ) ]
% 0.43/1.06    ,
% 0.43/1.06     [ =( compose( X, domain( X ) ), X ) ],
% 0.43/1.06     [ =( compose( codomain( X ), X ), X ) ],
% 0.43/1.06     [ 'there_exists'( compose( a, d ) ) ],
% 0.43/1.06     [ ~( 'there_exists'( compose( X, d ) ) ), =( compose( X, d ), X ) ],
% 0.43/1.06     [ ~( 'there_exists'( compose( d, X ) ) ), =( compose( d, X ), X ) ],
% 0.43/1.06     [ ~( =( domain( a ), d ) ) ]
% 0.43/1.06  ] .
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  percentage equality = 0.370370, percentage horn = 1.000000
% 0.43/1.06  This is a problem with some equality
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  Options Used:
% 0.43/1.06  
% 0.43/1.06  useres =            1
% 0.43/1.06  useparamod =        1
% 0.43/1.06  useeqrefl =         1
% 0.43/1.06  useeqfact =         1
% 0.43/1.06  usefactor =         1
% 0.43/1.06  usesimpsplitting =  0
% 0.43/1.06  usesimpdemod =      5
% 0.43/1.06  usesimpres =        3
% 0.43/1.06  
% 0.43/1.06  resimpinuse      =  1000
% 0.43/1.06  resimpclauses =     20000
% 0.43/1.06  substype =          eqrewr
% 0.43/1.06  backwardsubs =      1
% 0.43/1.06  selectoldest =      5
% 0.43/1.06  
% 0.43/1.06  litorderings [0] =  split
% 0.43/1.06  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.43/1.06  
% 0.43/1.06  termordering =      kbo
% 0.43/1.06  
% 0.43/1.06  litapriori =        0
% 0.43/1.06  termapriori =       1
% 0.43/1.06  litaposteriori =    0
% 0.43/1.06  termaposteriori =   0
% 0.43/1.06  demodaposteriori =  0
% 0.43/1.06  ordereqreflfact =   0
% 0.43/1.06  
% 0.43/1.06  litselect =         negord
% 0.43/1.06  
% 0.43/1.06  maxweight =         15
% 0.43/1.06  maxdepth =          30000
% 0.43/1.06  maxlength =         115
% 0.43/1.06  maxnrvars =         195
% 0.43/1.06  excuselevel =       1
% 0.43/1.06  increasemaxweight = 1
% 0.43/1.06  
% 0.43/1.06  maxselected =       10000000
% 0.43/1.06  maxnrclauses =      10000000
% 0.43/1.06  
% 0.43/1.06  showgenerated =    0
% 0.43/1.06  showkept =         0
% 0.43/1.06  showselected =     0
% 0.43/1.06  showdeleted =      0
% 0.43/1.06  showresimp =       1
% 0.43/1.06  showstatus =       2000
% 0.43/1.06  
% 0.43/1.06  prologoutput =     1
% 0.43/1.06  nrgoals =          5000000
% 0.43/1.06  totalproof =       1
% 0.43/1.06  
% 0.43/1.06  Symbols occurring in the translation:
% 0.43/1.06  
% 0.43/1.06  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.43/1.06  .  [1, 2]      (w:1, o:22, a:1, s:1, b:0), 
% 0.43/1.06  !  [4, 1]      (w:0, o:14, a:1, s:1, b:0), 
% 0.43/1.06  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/1.06  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/1.06  equivalent  [41, 2]      (w:1, o:47, a:1, s:1, b:0), 
% 0.43/1.06  'there_exists'  [42, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.43/1.06  domain  [43, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.43/1.06  codomain  [44, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.43/1.06  compose  [45, 2]      (w:1, o:48, a:1, s:1, b:0), 
% 0.43/1.06  a  [47, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.43/1.06  d  [48, 0]      (w:1, o:13, a:1, s:1, b:0).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  Starting Search:
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  Bliksems!, er is een bewijs:
% 0.43/1.06  % SZS status Unsatisfiable
% 0.43/1.06  % SZS output start Refutation
% 0.43/1.06  
% 0.43/1.06  clause( 4, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ] )
% 0.43/1.06  .
% 0.43/1.06  clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain( 
% 0.43/1.06    X ) ) ] )
% 0.43/1.06  .
% 0.43/1.06  clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ), 
% 0.43/1.06    codomain( Y ) ) ] )
% 0.43/1.06  .
% 0.43/1.06  clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 0.43/1.06  .
% 0.43/1.06  clause( 11, [ 'there_exists'( compose( a, d ) ) ] )
% 0.43/1.06  .
% 0.43/1.06  clause( 12, [ ~( 'there_exists'( compose( X, d ) ) ), =( compose( X, d ), X
% 0.43/1.06     ) ] )
% 0.43/1.06  .
% 0.43/1.06  clause( 14, [ ~( =( domain( a ), d ) ) ] )
% 0.43/1.06  .
% 0.43/1.06  clause( 83, [ 'there_exists'( domain( a ) ) ] )
% 0.43/1.06  .
% 0.43/1.06  clause( 110, [ =( domain( a ), codomain( d ) ) ] )
% 0.43/1.06  .
% 0.43/1.06  clause( 136, [ 'there_exists'( codomain( d ) ) ] )
% 0.43/1.06  .
% 0.43/1.06  clause( 141, [ ~( =( codomain( d ), d ) ) ] )
% 0.43/1.06  .
% 0.43/1.06  clause( 143, [ 'there_exists'( d ) ] )
% 0.43/1.06  .
% 0.43/1.06  clause( 319, [ =( codomain( d ), d ) ] )
% 0.43/1.06  .
% 0.43/1.06  clause( 326, [] )
% 0.43/1.06  .
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  % SZS output end Refutation
% 0.43/1.06  found a proof!
% 0.43/1.06  
% 0.43/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.06  
% 0.43/1.06  initialclauses(
% 0.43/1.06  [ clause( 328, [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ] )
% 0.43/1.06  , clause( 329, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 0.43/1.06  , clause( 330, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y
% 0.43/1.06     ) ] )
% 0.43/1.06  , clause( 331, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ]
% 0.43/1.06     )
% 0.43/1.06  , clause( 332, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X )
% 0.43/1.06     ] )
% 0.43/1.06  , clause( 333, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( 
% 0.43/1.06    domain( X ) ) ] )
% 0.43/1.06  , clause( 334, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ), 
% 0.43/1.06    codomain( Y ) ) ] )
% 0.43/1.06  , clause( 335, [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ), 
% 0.43/1.06    codomain( Y ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 0.43/1.06  , clause( 336, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y )
% 0.43/1.06    , Z ) ) ] )
% 0.43/1.06  , clause( 337, [ =( compose( X, domain( X ) ), X ) ] )
% 0.43/1.06  , clause( 338, [ =( compose( codomain( X ), X ), X ) ] )
% 0.43/1.06  , clause( 339, [ 'there_exists'( compose( a, d ) ) ] )
% 0.43/1.06  , clause( 340, [ ~( 'there_exists'( compose( X, d ) ) ), =( compose( X, d )
% 0.43/1.06    , X ) ] )
% 0.43/1.06  , clause( 341, [ ~( 'there_exists'( compose( d, X ) ) ), =( compose( d, X )
% 0.43/1.06    , X ) ] )
% 0.43/1.06  , clause( 342, [ ~( =( domain( a ), d ) ) ] )
% 0.43/1.06  ] ).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  subsumption(
% 0.43/1.06  clause( 4, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ] )
% 0.43/1.06  , clause( 332, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X )
% 0.43/1.06     ] )
% 0.43/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.43/1.06    1 )] ) ).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  subsumption(
% 0.43/1.06  clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain( 
% 0.43/1.06    X ) ) ] )
% 0.43/1.06  , clause( 333, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( 
% 0.43/1.06    domain( X ) ) ] )
% 0.43/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.06     ), ==>( 1, 1 )] ) ).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  subsumption(
% 0.43/1.06  clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ), 
% 0.43/1.06    codomain( Y ) ) ] )
% 0.43/1.06  , clause( 334, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ), 
% 0.43/1.06    codomain( Y ) ) ] )
% 0.43/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.06     ), ==>( 1, 1 )] ) ).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  subsumption(
% 0.43/1.06  clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 0.43/1.06  , clause( 338, [ =( compose( codomain( X ), X ), X ) ] )
% 0.43/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  subsumption(
% 0.43/1.06  clause( 11, [ 'there_exists'( compose( a, d ) ) ] )
% 0.43/1.06  , clause( 339, [ 'there_exists'( compose( a, d ) ) ] )
% 0.43/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  subsumption(
% 0.43/1.06  clause( 12, [ ~( 'there_exists'( compose( X, d ) ) ), =( compose( X, d ), X
% 0.43/1.06     ) ] )
% 0.43/1.06  , clause( 340, [ ~( 'there_exists'( compose( X, d ) ) ), =( compose( X, d )
% 0.43/1.06    , X ) ] )
% 0.43/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.43/1.06    1 )] ) ).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  subsumption(
% 0.43/1.06  clause( 14, [ ~( =( domain( a ), d ) ) ] )
% 0.43/1.06  , clause( 342, [ ~( =( domain( a ), d ) ) ] )
% 0.43/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  resolution(
% 0.43/1.06  clause( 382, [ 'there_exists'( domain( a ) ) ] )
% 0.43/1.06  , clause( 5, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( 
% 0.43/1.06    domain( X ) ) ] )
% 0.43/1.06  , 0, clause( 11, [ 'there_exists'( compose( a, d ) ) ] )
% 0.43/1.06  , 0, substitution( 0, [ :=( X, a ), :=( Y, d )] ), substitution( 1, [] )
% 0.43/1.06    ).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  subsumption(
% 0.43/1.06  clause( 83, [ 'there_exists'( domain( a ) ) ] )
% 0.43/1.06  , clause( 382, [ 'there_exists'( domain( a ) ) ] )
% 0.43/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  eqswap(
% 0.43/1.06  clause( 383, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'( compose( 
% 0.43/1.06    X, Y ) ) ) ] )
% 0.43/1.06  , clause( 6, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ), 
% 0.43/1.06    codomain( Y ) ) ] )
% 0.43/1.06  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  resolution(
% 0.43/1.06  clause( 384, [ =( codomain( d ), domain( a ) ) ] )
% 0.43/1.06  , clause( 383, [ =( codomain( Y ), domain( X ) ), ~( 'there_exists'( 
% 0.43/1.06    compose( X, Y ) ) ) ] )
% 0.43/1.06  , 1, clause( 11, [ 'there_exists'( compose( a, d ) ) ] )
% 0.43/1.06  , 0, substitution( 0, [ :=( X, a ), :=( Y, d )] ), substitution( 1, [] )
% 0.43/1.06    ).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  eqswap(
% 0.43/1.06  clause( 385, [ =( domain( a ), codomain( d ) ) ] )
% 0.43/1.06  , clause( 384, [ =( codomain( d ), domain( a ) ) ] )
% 0.43/1.06  , 0, substitution( 0, [] )).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  subsumption(
% 0.43/1.06  clause( 110, [ =( domain( a ), codomain( d ) ) ] )
% 0.43/1.06  , clause( 385, [ =( domain( a ), codomain( d ) ) ] )
% 0.43/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  paramod(
% 0.43/1.06  clause( 387, [ 'there_exists'( codomain( d ) ) ] )
% 0.43/1.06  , clause( 110, [ =( domain( a ), codomain( d ) ) ] )
% 0.43/1.06  , 0, clause( 83, [ 'there_exists'( domain( a ) ) ] )
% 0.43/1.06  , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  subsumption(
% 0.43/1.06  clause( 136, [ 'there_exists'( codomain( d ) ) ] )
% 0.43/1.06  , clause( 387, [ 'there_exists'( codomain( d ) ) ] )
% 0.43/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  eqswap(
% 0.43/1.06  clause( 389, [ ~( =( d, domain( a ) ) ) ] )
% 0.43/1.06  , clause( 14, [ ~( =( domain( a ), d ) ) ] )
% 0.43/1.06  , 0, substitution( 0, [] )).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  paramod(
% 0.43/1.06  clause( 390, [ ~( =( d, codomain( d ) ) ) ] )
% 0.43/1.06  , clause( 110, [ =( domain( a ), codomain( d ) ) ] )
% 0.43/1.06  , 0, clause( 389, [ ~( =( d, domain( a ) ) ) ] )
% 0.43/1.06  , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  eqswap(
% 0.43/1.06  clause( 391, [ ~( =( codomain( d ), d ) ) ] )
% 0.43/1.06  , clause( 390, [ ~( =( d, codomain( d ) ) ) ] )
% 0.43/1.06  , 0, substitution( 0, [] )).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  subsumption(
% 0.43/1.06  clause( 141, [ ~( =( codomain( d ), d ) ) ] )
% 0.43/1.06  , clause( 391, [ ~( =( codomain( d ), d ) ) ] )
% 0.43/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  resolution(
% 0.43/1.06  clause( 392, [ 'there_exists'( d ) ] )
% 0.43/1.06  , clause( 4, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ]
% 0.43/1.06     )
% 0.43/1.06  , 0, clause( 136, [ 'there_exists'( codomain( d ) ) ] )
% 0.43/1.06  , 0, substitution( 0, [ :=( X, d )] ), substitution( 1, [] )).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  subsumption(
% 0.43/1.06  clause( 143, [ 'there_exists'( d ) ] )
% 0.43/1.06  , clause( 392, [ 'there_exists'( d ) ] )
% 0.43/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  eqswap(
% 0.43/1.06  clause( 394, [ =( X, compose( X, d ) ), ~( 'there_exists'( compose( X, d )
% 0.43/1.06     ) ) ] )
% 0.43/1.06  , clause( 12, [ ~( 'there_exists'( compose( X, d ) ) ), =( compose( X, d )
% 0.43/1.06    , X ) ] )
% 0.43/1.06  , 1, substitution( 0, [ :=( X, X )] )).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  paramod(
% 0.43/1.06  clause( 407, [ ~( 'there_exists'( d ) ), =( codomain( d ), compose( 
% 0.43/1.06    codomain( d ), d ) ) ] )
% 0.43/1.06  , clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 0.43/1.06  , 0, clause( 394, [ =( X, compose( X, d ) ), ~( 'there_exists'( compose( X
% 0.43/1.06    , d ) ) ) ] )
% 0.43/1.06  , 1, 2, substitution( 0, [ :=( X, d )] ), substitution( 1, [ :=( X, 
% 0.43/1.06    codomain( d ) )] )).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  paramod(
% 0.43/1.06  clause( 408, [ =( codomain( d ), d ), ~( 'there_exists'( d ) ) ] )
% 0.43/1.06  , clause( 10, [ =( compose( codomain( X ), X ), X ) ] )
% 0.43/1.06  , 0, clause( 407, [ ~( 'there_exists'( d ) ), =( codomain( d ), compose( 
% 0.43/1.06    codomain( d ), d ) ) ] )
% 0.43/1.06  , 1, 3, substitution( 0, [ :=( X, d )] ), substitution( 1, [] )).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  resolution(
% 0.43/1.06  clause( 411, [ =( codomain( d ), d ) ] )
% 0.43/1.06  , clause( 408, [ =( codomain( d ), d ), ~( 'there_exists'( d ) ) ] )
% 0.43/1.06  , 1, clause( 143, [ 'there_exists'( d ) ] )
% 0.43/1.06  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  subsumption(
% 0.43/1.06  clause( 319, [ =( codomain( d ), d ) ] )
% 0.43/1.06  , clause( 411, [ =( codomain( d ), d ) ] )
% 0.43/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  resolution(
% 0.43/1.06  clause( 415, [] )
% 0.43/1.06  , clause( 141, [ ~( =( codomain( d ), d ) ) ] )
% 0.43/1.06  , 0, clause( 319, [ =( codomain( d ), d ) ] )
% 0.43/1.06  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  subsumption(
% 0.43/1.06  clause( 326, [] )
% 0.43/1.06  , clause( 415, [] )
% 0.43/1.06  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  end.
% 0.43/1.06  
% 0.43/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.06  
% 0.43/1.06  Memory use:
% 0.43/1.06  
% 0.43/1.06  space for terms:        3390
% 0.43/1.06  space for clauses:      16772
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  clauses generated:      582
% 0.43/1.06  clauses kept:           327
% 0.43/1.06  clauses selected:       45
% 0.43/1.06  clauses deleted:        2
% 0.43/1.06  clauses inuse deleted:  0
% 0.43/1.06  
% 0.43/1.06  subsentry:          1238
% 0.43/1.06  literals s-matched: 1079
% 0.43/1.06  literals matched:   1057
% 0.43/1.06  full subsumption:   108
% 0.43/1.06  
% 0.43/1.06  checksum:           -1857825728
% 0.43/1.06  
% 0.43/1.06  
% 0.43/1.06  Bliksem ended
%------------------------------------------------------------------------------