TSTP Solution File: CAT001-3 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : CAT001-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n022.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 23:54:07 EDT 2022

% Result   : Unsatisfiable 0.75s 1.17s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CAT001-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n022.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 : Sun May 29 15:58:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.75/1.17  *** allocated 10000 integers for termspace/termends
% 0.75/1.17  *** allocated 10000 integers for clauses
% 0.75/1.17  *** allocated 10000 integers for justifications
% 0.75/1.17  Bliksem 1.12
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  Automatic Strategy Selection
% 0.75/1.17  
% 0.75/1.17  Clauses:
% 0.75/1.17  [
% 0.75/1.17     [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ],
% 0.75/1.17     [ ~( equivalent( X, Y ) ), =( X, Y ) ],
% 0.75/1.17     [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, Y ) ],
% 0.75/1.17     [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ],
% 0.75/1.17     [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X ) ],
% 0.75/1.17     [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( domain( X ) )
% 0.75/1.17     ],
% 0.75/1.17     [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ), codomain( Y )
% 0.75/1.17     ) ],
% 0.75/1.17     [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ), codomain( Y ) )
% 0.75/1.17     ), 'there_exists'( compose( X, Y ) ) ],
% 0.75/1.17     [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z ) ) ]
% 0.75/1.17    ,
% 0.75/1.17     [ =( compose( X, domain( X ) ), X ) ],
% 0.75/1.17     [ =( compose( codomain( X ), X ), X ) ],
% 0.75/1.17     [ ~( equivalent( X, Y ) ), 'there_exists'( Y ) ],
% 0.75/1.17     [ ~( 'there_exists'( X ) ), ~( 'there_exists'( Y ) ), ~( =( X, Y ) ), 
% 0.75/1.17    equivalent( X, Y ) ],
% 0.75/1.17     [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( codomain( X )
% 0.75/1.17     ) ],
% 0.75/1.17     [ 'there_exists'( f1( X, Y ) ), =( X, Y ) ],
% 0.75/1.17     [ =( X, f1( X, Y ) ), =( Y, f1( X, Y ) ), =( X, Y ) ],
% 0.75/1.17     [ ~( =( X, f1( X, Y ) ) ), ~( =( Y, f1( X, Y ) ) ), =( X, Y ) ],
% 0.75/1.17     [ 'there_exists'( compose( a, b ) ) ],
% 0.75/1.17     [ ~( =( compose( compose( a, b ), X ), Y ) ), ~( =( compose( compose( a
% 0.75/1.17    , b ), Z ), Y ) ), =( X, Z ) ],
% 0.75/1.17     [ 'there_exists'( compose( b, h ) ) ],
% 0.75/1.17     [ =( compose( b, h ), compose( b, g ) ) ],
% 0.75/1.17     [ ~( =( h, g ) ) ]
% 0.75/1.17  ] .
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  percentage equality = 0.475000, percentage horn = 0.904762
% 0.75/1.17  This is a problem with some equality
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  Options Used:
% 0.75/1.17  
% 0.75/1.17  useres =            1
% 0.75/1.17  useparamod =        1
% 0.75/1.17  useeqrefl =         1
% 0.75/1.17  useeqfact =         1
% 0.75/1.17  usefactor =         1
% 0.75/1.17  usesimpsplitting =  0
% 0.75/1.17  usesimpdemod =      5
% 0.75/1.17  usesimpres =        3
% 0.75/1.17  
% 0.75/1.17  resimpinuse      =  1000
% 0.75/1.17  resimpclauses =     20000
% 0.75/1.17  substype =          eqrewr
% 0.75/1.17  backwardsubs =      1
% 0.75/1.17  selectoldest =      5
% 0.75/1.17  
% 0.75/1.17  litorderings [0] =  split
% 0.75/1.17  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.75/1.17  
% 0.75/1.17  termordering =      kbo
% 0.75/1.17  
% 0.75/1.17  litapriori =        0
% 0.75/1.17  termapriori =       1
% 0.75/1.17  litaposteriori =    0
% 0.75/1.17  termaposteriori =   0
% 0.75/1.17  demodaposteriori =  0
% 0.75/1.17  ordereqreflfact =   0
% 0.75/1.17  
% 0.75/1.17  litselect =         negord
% 0.75/1.17  
% 0.75/1.17  maxweight =         15
% 0.75/1.17  maxdepth =          30000
% 0.75/1.17  maxlength =         115
% 0.75/1.17  maxnrvars =         195
% 0.75/1.17  excuselevel =       1
% 0.75/1.17  increasemaxweight = 1
% 0.75/1.17  
% 0.75/1.17  maxselected =       10000000
% 0.75/1.17  maxnrclauses =      10000000
% 0.75/1.17  
% 0.75/1.17  showgenerated =    0
% 0.75/1.17  showkept =         0
% 0.75/1.17  showselected =     0
% 0.75/1.17  showdeleted =      0
% 0.75/1.17  showresimp =       1
% 0.75/1.17  showstatus =       2000
% 0.75/1.17  
% 0.75/1.17  prologoutput =     1
% 0.75/1.17  nrgoals =          5000000
% 0.75/1.17  totalproof =       1
% 0.75/1.17  
% 0.75/1.17  Symbols occurring in the translation:
% 0.75/1.17  
% 0.75/1.17  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.75/1.17  .  [1, 2]      (w:1, o:24, a:1, s:1, b:0), 
% 0.75/1.17  !  [4, 1]      (w:0, o:16, a:1, s:1, b:0), 
% 0.75/1.17  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.75/1.17  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.75/1.17  equivalent  [41, 2]      (w:1, o:49, a:1, s:1, b:0), 
% 0.75/1.17  'there_exists'  [42, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.75/1.17  domain  [43, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.75/1.17  codomain  [44, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.75/1.17  compose  [45, 2]      (w:1, o:50, a:1, s:1, b:0), 
% 0.75/1.17  f1  [47, 2]      (w:1, o:51, a:1, s:1, b:0), 
% 0.75/1.17  a  [48, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.75/1.17  b  [49, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.75/1.17  h  [50, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.75/1.17  g  [51, 0]      (w:1, o:14, a:1, s:1, b:0).
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  Starting Search:
% 0.75/1.17  
% 0.75/1.17  Resimplifying inuse:
% 0.75/1.17  Done
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  Bliksems!, er is een bewijs:
% 0.75/1.17  % SZS status Unsatisfiable
% 0.75/1.17  % SZS output start Refutation
% 0.75/1.17  
% 0.75/1.17  clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z
% 0.75/1.17     ) ) ] )
% 0.75/1.17  .
% 0.75/1.17  clause( 17, [ ~( =( compose( compose( a, b ), X ), Y ) ), ~( =( compose( 
% 0.75/1.17    compose( a, b ), Z ), Y ) ), =( X, Z ) ] )
% 0.75/1.17  .
% 0.75/1.17  clause( 19, [ =( compose( b, h ), compose( b, g ) ) ] )
% 0.75/1.17  .
% 0.75/1.17  clause( 20, [ ~( =( h, g ) ) ] )
% 0.75/1.17  .
% 0.75/1.17  clause( 23, [ ~( =( compose( compose( a, b ), X ), compose( compose( a, b )
% 0.75/1.17    , Y ) ) ), =( Y, X ) ] )
% 0.75/1.17  .
% 0.75/1.17  clause( 1360, [ =( compose( compose( X, b ), h ), compose( compose( X, b )
% 0.75/1.17    , g ) ) ] )
% 0.75/1.17  .
% 0.75/1.17  clause( 1562, [ ~( =( X, g ) ), ~( =( compose( compose( a, b ), X ), 
% 0.75/1.17    compose( compose( a, b ), g ) ) ) ] )
% 0.75/1.17  .
% 0.75/1.17  clause( 1563, [] )
% 0.75/1.17  .
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  % SZS output end Refutation
% 0.75/1.17  found a proof!
% 0.75/1.17  
% 0.75/1.17  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.17  
% 0.75/1.17  initialclauses(
% 0.75/1.17  [ clause( 1565, [ ~( equivalent( X, Y ) ), 'there_exists'( X ) ] )
% 0.75/1.17  , clause( 1566, [ ~( equivalent( X, Y ) ), =( X, Y ) ] )
% 0.75/1.17  , clause( 1567, [ ~( 'there_exists'( X ) ), ~( =( X, Y ) ), equivalent( X, 
% 0.75/1.17    Y ) ] )
% 0.75/1.17  , clause( 1568, [ ~( 'there_exists'( domain( X ) ) ), 'there_exists'( X ) ]
% 0.75/1.17     )
% 0.75/1.17  , clause( 1569, [ ~( 'there_exists'( codomain( X ) ) ), 'there_exists'( X )
% 0.75/1.17     ] )
% 0.75/1.17  , clause( 1570, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( 
% 0.75/1.17    domain( X ) ) ] )
% 0.75/1.17  , clause( 1571, [ ~( 'there_exists'( compose( X, Y ) ) ), =( domain( X ), 
% 0.75/1.17    codomain( Y ) ) ] )
% 0.75/1.17  , clause( 1572, [ ~( 'there_exists'( domain( X ) ) ), ~( =( domain( X ), 
% 0.75/1.17    codomain( Y ) ) ), 'there_exists'( compose( X, Y ) ) ] )
% 0.75/1.17  , clause( 1573, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y
% 0.75/1.17     ), Z ) ) ] )
% 0.75/1.17  , clause( 1574, [ =( compose( X, domain( X ) ), X ) ] )
% 0.75/1.17  , clause( 1575, [ =( compose( codomain( X ), X ), X ) ] )
% 0.75/1.17  , clause( 1576, [ ~( equivalent( X, Y ) ), 'there_exists'( Y ) ] )
% 0.75/1.17  , clause( 1577, [ ~( 'there_exists'( X ) ), ~( 'there_exists'( Y ) ), ~( 
% 0.75/1.17    =( X, Y ) ), equivalent( X, Y ) ] )
% 0.75/1.17  , clause( 1578, [ ~( 'there_exists'( compose( X, Y ) ) ), 'there_exists'( 
% 0.75/1.17    codomain( X ) ) ] )
% 0.75/1.17  , clause( 1579, [ 'there_exists'( f1( X, Y ) ), =( X, Y ) ] )
% 0.75/1.17  , clause( 1580, [ =( X, f1( X, Y ) ), =( Y, f1( X, Y ) ), =( X, Y ) ] )
% 0.75/1.17  , clause( 1581, [ ~( =( X, f1( X, Y ) ) ), ~( =( Y, f1( X, Y ) ) ), =( X, Y
% 0.75/1.17     ) ] )
% 0.75/1.17  , clause( 1582, [ 'there_exists'( compose( a, b ) ) ] )
% 0.75/1.17  , clause( 1583, [ ~( =( compose( compose( a, b ), X ), Y ) ), ~( =( compose( 
% 0.75/1.17    compose( a, b ), Z ), Y ) ), =( X, Z ) ] )
% 0.75/1.17  , clause( 1584, [ 'there_exists'( compose( b, h ) ) ] )
% 0.75/1.17  , clause( 1585, [ =( compose( b, h ), compose( b, g ) ) ] )
% 0.75/1.17  , clause( 1586, [ ~( =( h, g ) ) ] )
% 0.75/1.17  ] ).
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  subsumption(
% 0.75/1.17  clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), Z
% 0.75/1.17     ) ) ] )
% 0.75/1.17  , clause( 1573, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y
% 0.75/1.17     ), Z ) ) ] )
% 0.75/1.17  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.75/1.17    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  subsumption(
% 0.75/1.17  clause( 17, [ ~( =( compose( compose( a, b ), X ), Y ) ), ~( =( compose( 
% 0.75/1.17    compose( a, b ), Z ), Y ) ), =( X, Z ) ] )
% 0.75/1.17  , clause( 1583, [ ~( =( compose( compose( a, b ), X ), Y ) ), ~( =( compose( 
% 0.75/1.17    compose( a, b ), Z ), Y ) ), =( X, Z ) ] )
% 0.75/1.17  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.75/1.17    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  subsumption(
% 0.75/1.17  clause( 19, [ =( compose( b, h ), compose( b, g ) ) ] )
% 0.75/1.17  , clause( 1585, [ =( compose( b, h ), compose( b, g ) ) ] )
% 0.75/1.17  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  subsumption(
% 0.75/1.17  clause( 20, [ ~( =( h, g ) ) ] )
% 0.75/1.17  , clause( 1586, [ ~( =( h, g ) ) ] )
% 0.75/1.17  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  eqswap(
% 0.75/1.17  clause( 1694, [ ~( =( Y, compose( compose( a, b ), X ) ) ), ~( =( compose( 
% 0.75/1.17    compose( a, b ), Z ), Y ) ), =( X, Z ) ] )
% 0.75/1.17  , clause( 17, [ ~( =( compose( compose( a, b ), X ), Y ) ), ~( =( compose( 
% 0.75/1.17    compose( a, b ), Z ), Y ) ), =( X, Z ) ] )
% 0.75/1.17  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  eqrefl(
% 0.75/1.17  clause( 1697, [ ~( =( compose( compose( a, b ), Y ), compose( compose( a, b
% 0.75/1.17     ), X ) ) ), =( X, Y ) ] )
% 0.75/1.17  , clause( 1694, [ ~( =( Y, compose( compose( a, b ), X ) ) ), ~( =( compose( 
% 0.75/1.17    compose( a, b ), Z ), Y ) ), =( X, Z ) ] )
% 0.75/1.17  , 0, substitution( 0, [ :=( X, X ), :=( Y, compose( compose( a, b ), X ) )
% 0.75/1.17    , :=( Z, Y )] )).
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  subsumption(
% 0.75/1.17  clause( 23, [ ~( =( compose( compose( a, b ), X ), compose( compose( a, b )
% 0.75/1.17    , Y ) ) ), =( Y, X ) ] )
% 0.75/1.17  , clause( 1697, [ ~( =( compose( compose( a, b ), Y ), compose( compose( a
% 0.75/1.17    , b ), X ) ) ), =( X, Y ) ] )
% 0.75/1.17  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.17     ), ==>( 1, 1 )] ) ).
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  eqswap(
% 0.75/1.17  clause( 1700, [ =( compose( compose( X, Y ), Z ), compose( X, compose( Y, Z
% 0.75/1.17     ) ) ) ] )
% 0.75/1.17  , clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), 
% 15.89/16.30    Z ) ) ] )
% 15.89/16.30  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 15.89/16.30  
% 15.89/16.30  
% 15.89/16.30  paramod(
% 15.89/16.30  clause( 1703, [ =( compose( compose( X, b ), h ), compose( X, compose( b, g
% 15.89/16.30     ) ) ) ] )
% 15.89/16.30  , clause( 19, [ =( compose( b, h ), compose( b, g ) ) ] )
% 15.89/16.30  , 0, clause( 1700, [ =( compose( compose( X, Y ), Z ), compose( X, compose( 
% 15.89/16.30    Y, Z ) ) ) ] )
% 15.89/16.30  , 0, 8, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, b ), 
% 15.89/16.30    :=( Z, h )] )).
% 15.89/16.30  
% 15.89/16.30  
% 15.89/16.30  paramod(
% 15.89/16.30  clause( 1704, [ =( compose( compose( X, b ), h ), compose( compose( X, b )
% 15.89/16.30    , g ) ) ] )
% 15.89/16.30  , clause( 8, [ =( compose( X, compose( Y, Z ) ), compose( compose( X, Y ), 
% 15.89/16.30    Z ) ) ] )
% 15.89/16.30  , 0, clause( 1703, [ =( compose( compose( X, b ), h ), compose( X, compose( 
% 15.89/16.30    b, g ) ) ) ] )
% 15.89/16.30  , 0, 6, substitution( 0, [ :=( X, X ), :=( Y, b ), :=( Z, g )] ), 
% 15.89/16.30    substitution( 1, [ :=( X, X )] )).
% 15.89/16.30  
% 15.89/16.30  
% 15.89/16.30  subsumption(
% 15.89/16.30  clause( 1360, [ =( compose( compose( X, b ), h ), compose( compose( X, b )
% 15.89/16.30    , g ) ) ] )
% 15.89/16.30  , clause( 1704, [ =( compose( compose( X, b ), h ), compose( compose( X, b
% 15.89/16.30     ), g ) ) ] )
% 15.89/16.30  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 15.89/16.30  
% 15.89/16.30  
% 15.89/16.30  eqswap(
% 15.89/16.30  clause( 1706, [ ~( =( compose( compose( a, b ), Y ), compose( compose( a, b
% 15.89/16.30     ), X ) ) ), =( Y, X ) ] )
% 15.89/16.30  , clause( 23, [ ~( =( compose( compose( a, b ), X ), compose( compose( a, b
% 15.89/16.30     ), Y ) ) ), =( Y, X ) ] )
% 15.89/16.30  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 15.89/16.30  
% 15.89/16.30  
% 15.89/16.30  eqswap(
% 15.89/16.30  clause( 1707, [ ~( =( g, h ) ) ] )
% 15.89/16.30  , clause( 20, [ ~( =( h, g ) ) ] )
% 15.89/16.30  , 0, substitution( 0, [] )).
% 15.89/16.30  
% 15.89/16.30  
% 15.89/16.30  paramod(
% 15.89/16.30  clause( 1710, [ ~( =( g, X ) ), ~( =( compose( compose( a, b ), h ), 
% 15.89/16.30    compose( compose( a, b ), X ) ) ) ] )
% 15.89/16.30  , clause( 1706, [ ~( =( compose( compose( a, b ), Y ), compose( compose( a
% 15.89/16.30    , b ), X ) ) ), =( Y, X ) ] )
% 15.89/16.30  , 1, clause( 1707, [ ~( =( g, h ) ) ] )
% 15.89/16.30  , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, h )] ), substitution( 1, [] )
% 15.89/16.30    ).
% 15.89/16.30  
% 15.89/16.30  
% 15.89/16.30  paramod(
% 15.89/16.30  clause( 21448, [ ~( =( compose( compose( a, b ), g ), compose( compose( a, 
% 15.89/16.30    b ), X ) ) ), ~( =( g, X ) ) ] )
% 15.89/16.30  , clause( 1360, [ =( compose( compose( X, b ), h ), compose( compose( X, b
% 15.89/16.30     ), g ) ) ] )
% 15.89/16.30  , 0, clause( 1710, [ ~( =( g, X ) ), ~( =( compose( compose( a, b ), h ), 
% 15.89/16.30    compose( compose( a, b ), X ) ) ) ] )
% 15.89/16.30  , 1, 2, substitution( 0, [ :=( X, a )] ), substitution( 1, [ :=( X, X )] )
% 15.89/16.30    ).
% 15.89/16.30  
% 15.89/16.30  
% 15.89/16.30  eqswap(
% 15.89/16.30  clause( 21450, [ ~( =( X, g ) ), ~( =( compose( compose( a, b ), g ), 
% 15.89/16.30    compose( compose( a, b ), X ) ) ) ] )
% 15.89/16.30  , clause( 21448, [ ~( =( compose( compose( a, b ), g ), compose( compose( a
% 15.89/16.30    , b ), X ) ) ), ~( =( g, X ) ) ] )
% 15.89/16.30  , 1, substitution( 0, [ :=( X, X )] )).
% 15.89/16.30  
% 15.89/16.30  
% 15.89/16.30  eqswap(
% 15.89/16.30  clause( 21451, [ ~( =( compose( compose( a, b ), X ), compose( compose( a, 
% 15.89/16.30    b ), g ) ) ), ~( =( X, g ) ) ] )
% 15.89/16.30  , clause( 21450, [ ~( =( X, g ) ), ~( =( compose( compose( a, b ), g ), 
% 15.89/16.30    compose( compose( a, b ), X ) ) ) ] )
% 15.89/16.30  , 1, substitution( 0, [ :=( X, X )] )).
% 15.89/16.30  
% 15.89/16.30  
% 15.89/16.30  subsumption(
% 15.89/16.30  clause( 1562, [ ~( =( X, g ) ), ~( =( compose( compose( a, b ), X ), 
% 15.89/16.30    compose( compose( a, b ), g ) ) ) ] )
% 15.89/16.30  , clause( 21451, [ ~( =( compose( compose( a, b ), X ), compose( compose( a
% 15.89/16.30    , b ), g ) ) ), ~( =( X, g ) ) ] )
% 15.89/16.30  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 15.89/16.30    0 )] ) ).
% 15.89/16.30  
% 15.89/16.30  
% 15.89/16.30  eqswap(
% 15.89/16.30  clause( 21452, [ ~( =( g, X ) ), ~( =( compose( compose( a, b ), X ), 
% 15.89/16.30    compose( compose( a, b ), g ) ) ) ] )
% 15.89/16.30  , clause( 1562, [ ~( =( X, g ) ), ~( =( compose( compose( a, b ), X ), 
% 15.89/16.30    compose( compose( a, b ), g ) ) ) ] )
% 15.89/16.30  , 0, substitution( 0, [ :=( X, X )] )).
% 15.89/16.30  
% 15.89/16.30  
% 15.89/16.30  eqrefl(
% 15.89/16.30  clause( 21455, [ ~( =( compose( compose( a, b ), g ), compose( compose( a, 
% 15.89/16.30    b ), g ) ) ) ] )
% 15.89/16.30  , clause( 21452, [ ~( =( g, X ) ), ~( =( compose( compose( a, b ), X ), 
% 15.89/16.30    compose( compose( a, b ), g ) ) ) ] )
% 15.89/16.30  , 0, substitution( 0, [ :=( X, g )] )).
% 15.89/16.30  
% 15.89/16.30  
% 15.89/16.30  eqrefl(
% 15.89/16.30  clause( 21457, [] )
% 15.89/16.30  , clause( 21455, [ ~( =( compose( compose( a, b ), g ), compose( compose( a
% 15.89/16.30    , b ), g ) ) ) ] )
% 15.89/16.30  , 0, substitution( 0, [] )).
% 15.89/16.30  
% 15.89/16.30  
% 15.89/16.30  subsumption(
% 15.89/16.30  clause( 1563, [] )
% 15.89/16.30  , clause( 21457, [] )
% 15.89/16.30  , substitution( 0, [] ), permutation( 0, [] ) ).
% 15.89/16.30  
% 15.89/16.30  
% 15.89/16.30  end.
% 15.89/16.30  
% 15.89/16.30  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 15.89/16.30  
% 15.89/16.30  Memory use:
% 15.89/16.30  
% 15.89/16.30  space for terms:        20272
% 15.89/16.30  space for clauses:      80469
% 15.89/16.30  
% 15.89/16.30  
% 15.89/16.30  clauses generated:      4966
% 15.89/16.30  clauses kept:           1564
% 15.89/16.30  clauses selected:       82
% 15.89/16.31  clauses deleted:        6
% 15.89/16.31  clauses inuse deleted:  2
% 15.89/16.31  
% 15.89/16.31  subsentry:          94691010
% 15.89/16.31  literals s-matched: 1785470
% 15.89/16.31  literals matched:   871395
% 15.89/16.31  full subsumption:   800622
% 15.89/16.31  
% 15.89/16.31  checksum:           1552962167
% 15.89/16.31  
% 15.89/16.31  
% 15.89/16.31  Bliksem ended
%------------------------------------------------------------------------------