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Bliksem---1.12.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : KRS013-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n025.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 : Sun Jul 17 02:41:57 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
% 0.03/0.11  % Problem  : KRS013-1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n025.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 : Tue Jun  7 17:19:19 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.42/1.08  *** allocated 10000 integers for termspace/termends
% 0.42/1.08  *** allocated 10000 integers for clauses
% 0.42/1.08  *** allocated 10000 integers for justifications
% 0.42/1.08  Bliksem 1.12
% 0.42/1.08  
% 0.42/1.08  
% 0.42/1.08  Automatic Strategy Selection
% 0.42/1.08  
% 0.42/1.08  Clauses:
% 0.42/1.08  [
% 0.42/1.08     [ e( exist ) ],
% 0.42/1.08     [ ~( f( exist ) ) ],
% 0.42/1.08     [ t2least( X ), ~( c( X ) ) ],
% 0.42/1.08     [ c( X ), ~( t2least( X ) ) ],
% 0.42/1.08     [ ~( t2least( X ) ), ~( equalish( u1r2( X ), u1r1( X ) ) ) ],
% 0.42/1.08     [ t( X, u1r1( X ) ), ~( t2least( X ) ) ],
% 0.42/1.08     [ t( X, u1r2( X ) ), ~( t2least( X ) ) ],
% 0.42/1.08     [ t2least( X ), equalish( Y, Z ), ~( t( X, Y ) ), ~( t( X, Z ) ) ],
% 0.42/1.08     [ t1most( X ), ~( d( X ) ) ],
% 0.42/1.08     [ d( X ), ~( t1most( X ) ) ],
% 0.42/1.08     [ equalish( X, Y ), ~( t1most( Z ) ), ~( t( Z, X ) ), ~( t( Z, Y ) ) ]
% 0.42/1.08    ,
% 0.42/1.08     [ t1most( X ), ~( equalish( u3r2( X ), u3r1( X ) ) ) ],
% 0.42/1.08     [ t1most( X ), t( X, u3r1( X ) ) ],
% 0.42/1.08     [ t1most( X ), t( X, u3r2( X ) ) ],
% 0.42/1.08     [ d( X ), ~( e( Y ) ), ~( r( Y, X ) ) ],
% 0.42/1.08     [ c( X ), ~( e( Y ) ), ~( r( Y, X ) ), ~( s2least( X ) ) ],
% 0.42/1.08     [ e( X ), ~( c( u4r1( X ) ) ), ~( d( u4r2( X ) ) ) ],
% 0.42/1.08     [ e( X ), r( X, u4r2( X ) ), ~( c( u4r1( X ) ) ) ],
% 0.42/1.08     [ e( X ), s2least( u4r1( X ) ), ~( d( u4r2( X ) ) ) ],
% 0.42/1.08     [ e( X ), s2least( u4r1( X ) ), r( X, u4r2( X ) ) ],
% 0.42/1.08     [ e( X ), r( X, u4r1( X ) ), ~( d( u4r2( X ) ) ) ],
% 0.42/1.08     [ e( X ), r( X, u4r1( X ) ), r( X, u4r2( X ) ) ],
% 0.42/1.08     [ ~( s2least( X ) ), ~( equalish( u5r2( X ), u5r1( X ) ) ) ],
% 0.42/1.08     [ s( X, u5r1( X ) ), ~( s2least( X ) ) ],
% 0.42/1.08     [ s( X, u5r2( X ) ), ~( s2least( X ) ) ],
% 0.42/1.08     [ s2least( X ), equalish( Y, Z ), ~( s( X, Y ) ), ~( s( X, Z ) ) ],
% 0.42/1.08     [ s1most( X ), ~( f( Y ) ), ~( r( Y, X ) ) ],
% 0.42/1.08     [ f( X ), ~( s1most( u6r1( X ) ) ) ],
% 0.42/1.08     [ f( X ), r( X, u6r1( X ) ) ],
% 0.42/1.08     [ equalish( X, Y ), ~( s1most( Z ) ), ~( s( Z, X ) ), ~( s( Z, Y ) ) ]
% 0.42/1.08    ,
% 0.42/1.08     [ s1most( X ), ~( equalish( u7r2( X ), u7r1( X ) ) ) ],
% 0.42/1.08     [ s1most( X ), s( X, u7r1( X ) ) ],
% 0.42/1.08     [ s1most( X ), s( X, u7r2( X ) ) ]
% 0.42/1.08  ] .
% 0.42/1.08  
% 0.42/1.08  
% 0.42/1.08  percentage equality = 0.000000, percentage horn = 0.636364
% 0.42/1.08  This a non-horn, non-equality problem
% 0.42/1.08  
% 0.42/1.08  
% 0.42/1.08  Options Used:
% 0.42/1.08  
% 0.42/1.08  useres =            1
% 0.42/1.08  useparamod =        0
% 0.42/1.08  useeqrefl =         0
% 0.42/1.08  useeqfact =         0
% 0.42/1.08  usefactor =         1
% 0.42/1.08  usesimpsplitting =  0
% 0.42/1.08  usesimpdemod =      0
% 0.42/1.08  usesimpres =        3
% 0.42/1.08  
% 0.42/1.08  resimpinuse      =  1000
% 0.42/1.08  resimpclauses =     20000
% 0.42/1.08  substype =          standard
% 0.42/1.08  backwardsubs =      1
% 0.42/1.08  selectoldest =      5
% 0.42/1.08  
% 0.42/1.08  litorderings [0] =  split
% 0.42/1.08  litorderings [1] =  liftord
% 0.42/1.08  
% 0.42/1.08  termordering =      none
% 0.42/1.08  
% 0.42/1.08  litapriori =        1
% 0.42/1.08  termapriori =       0
% 0.42/1.08  litaposteriori =    0
% 0.42/1.08  termaposteriori =   0
% 0.42/1.08  demodaposteriori =  0
% 0.42/1.08  ordereqreflfact =   0
% 0.42/1.08  
% 0.42/1.08  litselect =         none
% 0.42/1.08  
% 0.42/1.08  maxweight =         15
% 0.42/1.08  maxdepth =          30000
% 0.42/1.08  maxlength =         115
% 0.42/1.08  maxnrvars =         195
% 0.42/1.08  excuselevel =       1
% 0.42/1.08  increasemaxweight = 1
% 0.42/1.08  
% 0.42/1.08  maxselected =       10000000
% 0.42/1.08  maxnrclauses =      10000000
% 0.42/1.08  
% 0.42/1.08  showgenerated =    0
% 0.42/1.08  showkept =         0
% 0.42/1.08  showselected =     0
% 0.42/1.08  showdeleted =      0
% 0.42/1.08  showresimp =       1
% 0.42/1.08  showstatus =       2000
% 0.42/1.08  
% 0.42/1.08  prologoutput =     1
% 0.42/1.08  nrgoals =          5000000
% 0.42/1.08  totalproof =       1
% 0.42/1.08  
% 0.42/1.08  Symbols occurring in the translation:
% 0.42/1.08  
% 0.42/1.08  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.42/1.08  .  [1, 2]      (w:1, o:37, a:1, s:1, b:0), 
% 0.42/1.08  !  [4, 1]      (w:0, o:13, a:1, s:1, b:0), 
% 0.42/1.08  =  [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  exist  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.72/1.08  e  [40, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.72/1.08  f  [41, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.72/1.08  t2least  [43, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.72/1.08  c  [44, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.72/1.08  u1r2  [45, 1]      (w:1, o:27, a:1, s:1, b:0), 
% 0.72/1.08  u1r1  [46, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 0.72/1.08  equalish  [47, 2]      (w:1, o:62, a:1, s:1, b:0), 
% 0.72/1.08  t  [48, 2]      (w:1, o:64, a:1, s:1, b:0), 
% 0.72/1.08  t1most  [51, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.72/1.08  d  [52, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.72/1.08  u3r2  [53, 1]      (w:1, o:29, a:1, s:1, b:0), 
% 0.72/1.08  u3r1  [54, 1]      (w:1, o:28, a:1, s:1, b:0), 
% 0.72/1.08  r  [55, 2]      (w:1, o:65, a:1, s:1, b:0), 
% 0.72/1.08  s2least  [56, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.72/1.08  u4r1  [57, 1]      (w:1, o:30, a:1, s:1, b:0), 
% 0.72/1.08  u4r2  [58, 1]      (w:1, o:31, a:1, s:1, b:0), 
% 0.72/1.08  u5r2  [59, 1]      (w:1, o:33, a:1, s:1, b:0), 
% 0.72/1.08  u5r1  [60, 1]      (w:1, o:32, a:1, s:1, b:0), 
% 0.72/1.08  s  [61, 2]      (w:1, o:63, a:1, s:1, b:0), 
% 0.72/1.08  s1most  [62, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.72/1.08  u6r1  [63, 1]      (w:1, o:34, a:1, s:1, b:0), 
% 0.72/1.08  u7r2  [64, 1]      (w:1, o:36, a:1, s:1, b:0), 
% 0.72/1.08  u7r1  [65, 1]      (w:1, o:35, 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, [ e( exist ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 1, [ ~( f( exist ) ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 2, [ t2least( X ), ~( c( X ) ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 4, [ ~( t2least( X ) ), ~( equalish( u1r2( X ), u1r1( X ) ) ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 5, [ ~( t2least( X ) ), t( X, u1r1( X ) ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 6, [ ~( t2least( X ) ), t( X, u1r2( X ) ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 8, [ ~( d( X ) ), t1most( X ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 10, [ ~( t1most( Z ) ), equalish( X, Y ), ~( t( Z, Y ) ), ~( t( Z, 
% 0.72/1.08    X ) ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 14, [ d( X ), ~( e( Y ) ), ~( r( Y, X ) ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 15, [ ~( e( Y ) ), c( X ), ~( s2least( X ) ), ~( r( Y, X ) ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 25, [ s2least( X ), equalish( Y, Z ), ~( s( X, Z ) ), ~( s( X, Y )
% 0.72/1.08     ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 27, [ f( X ), ~( s1most( u6r1( X ) ) ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 28, [ f( X ), r( X, u6r1( X ) ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 30, [ s1most( X ), ~( equalish( u7r2( X ), u7r1( X ) ) ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 31, [ s1most( X ), s( X, u7r1( X ) ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 32, [ s1most( X ), s( X, u7r2( X ) ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 37, [ d( u6r1( X ) ), ~( e( X ) ), f( X ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 44, [ ~( t1most( X ) ), equalish( u1r2( X ), Y ), ~( t2least( X ) )
% 0.72/1.08    , ~( t( X, Y ) ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 55, [ ~( e( X ) ), ~( s2least( u6r1( X ) ) ), f( X ), c( u6r1( X )
% 0.72/1.08     ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 62, [ s2least( X ), equalish( Y, u7r1( X ) ), s1most( X ), ~( s( X
% 0.72/1.08    , Y ) ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 66, [ ~( e( X ) ), f( X ), ~( s2least( u6r1( X ) ) ), t2least( u6r1( 
% 0.72/1.08    X ) ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 80, [ s1most( X ), s2least( X ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 82, [ ~( t1most( X ) ), ~( t2least( X ) ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 83, [ ~( e( X ) ), f( X ), ~( s2least( u6r1( X ) ) ), ~( t1most( 
% 0.72/1.08    u6r1( X ) ) ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 84, [ ~( e( X ) ), f( X ), ~( s2least( u6r1( X ) ) ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 85, [ ~( e( X ) ), f( X ) ] )
% 0.72/1.08  .
% 0.72/1.08  clause( 86, [] )
% 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( 88, [ e( exist ) ] )
% 0.72/1.08  , clause( 89, [ ~( f( exist ) ) ] )
% 0.72/1.08  , clause( 90, [ t2least( X ), ~( c( X ) ) ] )
% 0.72/1.08  , clause( 91, [ c( X ), ~( t2least( X ) ) ] )
% 0.72/1.08  , clause( 92, [ ~( t2least( X ) ), ~( equalish( u1r2( X ), u1r1( X ) ) ) ]
% 0.72/1.08     )
% 0.72/1.08  , clause( 93, [ t( X, u1r1( X ) ), ~( t2least( X ) ) ] )
% 0.72/1.08  , clause( 94, [ t( X, u1r2( X ) ), ~( t2least( X ) ) ] )
% 0.72/1.08  , clause( 95, [ t2least( X ), equalish( Y, Z ), ~( t( X, Y ) ), ~( t( X, Z
% 0.72/1.08     ) ) ] )
% 0.72/1.08  , clause( 96, [ t1most( X ), ~( d( X ) ) ] )
% 0.72/1.08  , clause( 97, [ d( X ), ~( t1most( X ) ) ] )
% 0.72/1.08  , clause( 98, [ equalish( X, Y ), ~( t1most( Z ) ), ~( t( Z, X ) ), ~( t( Z
% 0.72/1.08    , Y ) ) ] )
% 0.72/1.08  , clause( 99, [ t1most( X ), ~( equalish( u3r2( X ), u3r1( X ) ) ) ] )
% 0.72/1.08  , clause( 100, [ t1most( X ), t( X, u3r1( X ) ) ] )
% 0.72/1.08  , clause( 101, [ t1most( X ), t( X, u3r2( X ) ) ] )
% 0.72/1.08  , clause( 102, [ d( X ), ~( e( Y ) ), ~( r( Y, X ) ) ] )
% 0.72/1.08  , clause( 103, [ c( X ), ~( e( Y ) ), ~( r( Y, X ) ), ~( s2least( X ) ) ]
% 0.72/1.08     )
% 0.72/1.08  , clause( 104, [ e( X ), ~( c( u4r1( X ) ) ), ~( d( u4r2( X ) ) ) ] )
% 0.72/1.08  , clause( 105, [ e( X ), r( X, u4r2( X ) ), ~( c( u4r1( X ) ) ) ] )
% 0.72/1.08  , clause( 106, [ e( X ), s2least( u4r1( X ) ), ~( d( u4r2( X ) ) ) ] )
% 0.72/1.08  , clause( 107, [ e( X ), s2least( u4r1( X ) ), r( X, u4r2( X ) ) ] )
% 0.72/1.08  , clause( 108, [ e( X ), r( X, u4r1( X ) ), ~( d( u4r2( X ) ) ) ] )
% 0.72/1.08  , clause( 109, [ e( X ), r( X, u4r1( X ) ), r( X, u4r2( X ) ) ] )
% 0.72/1.08  , clause( 110, [ ~( s2least( X ) ), ~( equalish( u5r2( X ), u5r1( X ) ) ) ]
% 0.72/1.08     )
% 0.72/1.08  , clause( 111, [ s( X, u5r1( X ) ), ~( s2least( X ) ) ] )
% 0.72/1.08  , clause( 112, [ s( X, u5r2( X ) ), ~( s2least( X ) ) ] )
% 0.72/1.08  , clause( 113, [ s2least( X ), equalish( Y, Z ), ~( s( X, Y ) ), ~( s( X, Z
% 0.72/1.08     ) ) ] )
% 0.72/1.08  , clause( 114, [ s1most( X ), ~( f( Y ) ), ~( r( Y, X ) ) ] )
% 0.72/1.08  , clause( 115, [ f( X ), ~( s1most( u6r1( X ) ) ) ] )
% 0.72/1.08  , clause( 116, [ f( X ), r( X, u6r1( X ) ) ] )
% 0.72/1.08  , clause( 117, [ equalish( X, Y ), ~( s1most( Z ) ), ~( s( Z, X ) ), ~( s( 
% 0.72/1.08    Z, Y ) ) ] )
% 0.72/1.08  , clause( 118, [ s1most( X ), ~( equalish( u7r2( X ), u7r1( X ) ) ) ] )
% 0.72/1.08  , clause( 119, [ s1most( X ), s( X, u7r1( X ) ) ] )
% 0.72/1.08  , clause( 120, [ s1most( X ), s( X, u7r2( X ) ) ] )
% 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, [ e( exist ) ] )
% 0.72/1.08  , clause( 88, [ e( exist ) ] )
% 0.72/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 1, [ ~( f( exist ) ) ] )
% 0.72/1.08  , clause( 89, [ ~( f( exist ) ) ] )
% 0.72/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 2, [ t2least( X ), ~( c( X ) ) ] )
% 0.72/1.08  , clause( 90, [ t2least( X ), ~( c( X ) ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.72/1.08    1 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 4, [ ~( t2least( X ) ), ~( equalish( u1r2( X ), u1r1( X ) ) ) ] )
% 0.72/1.08  , clause( 92, [ ~( t2least( X ) ), ~( equalish( u1r2( X ), u1r1( X ) ) ) ]
% 0.72/1.08     )
% 0.72/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.72/1.08    1 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 5, [ ~( t2least( X ) ), t( X, u1r1( X ) ) ] )
% 0.72/1.08  , clause( 93, [ t( X, u1r1( X ) ), ~( t2least( X ) ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.72/1.08    0 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 6, [ ~( t2least( X ) ), t( X, u1r2( X ) ) ] )
% 0.72/1.08  , clause( 94, [ t( X, u1r2( X ) ), ~( t2least( X ) ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.72/1.08    0 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 8, [ ~( d( X ) ), t1most( X ) ] )
% 0.72/1.08  , clause( 96, [ t1most( X ), ~( d( X ) ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.72/1.08    0 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 10, [ ~( t1most( Z ) ), equalish( X, Y ), ~( t( Z, Y ) ), ~( t( Z, 
% 0.72/1.08    X ) ) ] )
% 0.72/1.08  , clause( 98, [ equalish( X, Y ), ~( t1most( Z ) ), ~( t( Z, X ) ), ~( t( Z
% 0.72/1.08    , Y ) ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.72/1.08    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 3 ), ==>( 3, 2 )] )
% 0.72/1.08     ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 14, [ d( X ), ~( e( Y ) ), ~( r( Y, X ) ) ] )
% 0.72/1.08  , clause( 102, [ d( X ), ~( e( Y ) ), ~( r( Y, X ) ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08     ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 15, [ ~( e( Y ) ), c( X ), ~( s2least( X ) ), ~( r( Y, X ) ) ] )
% 0.72/1.08  , clause( 103, [ c( X ), ~( e( Y ) ), ~( r( Y, X ) ), ~( s2least( X ) ) ]
% 0.72/1.08     )
% 0.72/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.72/1.08     ), ==>( 1, 0 ), ==>( 2, 3 ), ==>( 3, 2 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 25, [ s2least( X ), equalish( Y, Z ), ~( s( X, Z ) ), ~( s( X, Y )
% 0.72/1.08     ) ] )
% 0.72/1.08  , clause( 113, [ s2least( X ), equalish( Y, Z ), ~( s( X, Y ) ), ~( s( X, Z
% 0.72/1.08     ) ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.72/1.08    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 3 ), ==>( 3, 2 )] )
% 0.72/1.08     ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 27, [ f( X ), ~( s1most( u6r1( X ) ) ) ] )
% 0.72/1.08  , clause( 115, [ f( X ), ~( s1most( u6r1( X ) ) ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.72/1.08    1 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 28, [ f( X ), r( X, u6r1( X ) ) ] )
% 0.72/1.08  , clause( 116, [ f( X ), r( X, u6r1( X ) ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.72/1.08    1 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 30, [ s1most( X ), ~( equalish( u7r2( X ), u7r1( X ) ) ) ] )
% 0.72/1.08  , clause( 118, [ s1most( X ), ~( equalish( u7r2( X ), u7r1( X ) ) ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.72/1.08    1 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 31, [ s1most( X ), s( X, u7r1( X ) ) ] )
% 0.72/1.08  , clause( 119, [ s1most( X ), s( X, u7r1( X ) ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.72/1.08    1 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 32, [ s1most( X ), s( X, u7r2( X ) ) ] )
% 0.72/1.08  , clause( 120, [ s1most( X ), s( X, u7r2( X ) ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.72/1.08    1 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  resolution(
% 0.72/1.08  clause( 149, [ d( u6r1( X ) ), ~( e( X ) ), f( X ) ] )
% 0.72/1.08  , clause( 14, [ d( X ), ~( e( Y ) ), ~( r( Y, X ) ) ] )
% 0.72/1.08  , 2, clause( 28, [ f( X ), r( X, u6r1( X ) ) ] )
% 0.72/1.08  , 1, substitution( 0, [ :=( X, u6r1( X ) ), :=( Y, X )] ), substitution( 1
% 0.72/1.08    , [ :=( X, X )] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 37, [ d( u6r1( X ) ), ~( e( X ) ), f( X ) ] )
% 0.72/1.08  , clause( 149, [ d( u6r1( X ) ), ~( e( X ) ), f( 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  resolution(
% 0.72/1.08  clause( 151, [ ~( t1most( X ) ), equalish( u1r2( X ), Y ), ~( t( X, Y ) ), 
% 0.72/1.08    ~( t2least( X ) ) ] )
% 0.72/1.08  , clause( 10, [ ~( t1most( Z ) ), equalish( X, Y ), ~( t( Z, Y ) ), ~( t( Z
% 0.72/1.08    , X ) ) ] )
% 0.72/1.08  , 3, clause( 6, [ ~( t2least( X ) ), t( X, u1r2( X ) ) ] )
% 0.72/1.08  , 1, substitution( 0, [ :=( X, u1r2( X ) ), :=( Y, Y ), :=( Z, X )] ), 
% 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( 44, [ ~( t1most( X ) ), equalish( u1r2( X ), Y ), ~( t2least( X ) )
% 0.72/1.08    , ~( t( X, Y ) ) ] )
% 0.72/1.08  , clause( 151, [ ~( t1most( X ) ), equalish( u1r2( X ), Y ), ~( t( X, Y ) )
% 0.72/1.08    , ~( t2least( X ) ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08     ), ==>( 1, 1 ), ==>( 2, 3 ), ==>( 3, 2 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  resolution(
% 0.72/1.08  clause( 152, [ ~( e( X ) ), c( u6r1( X ) ), ~( s2least( u6r1( X ) ) ), f( X
% 0.72/1.08     ) ] )
% 0.72/1.08  , clause( 15, [ ~( e( Y ) ), c( X ), ~( s2least( X ) ), ~( r( Y, X ) ) ] )
% 0.72/1.08  , 3, clause( 28, [ f( X ), r( X, u6r1( X ) ) ] )
% 0.72/1.08  , 1, substitution( 0, [ :=( X, u6r1( X ) ), :=( Y, X )] ), substitution( 1
% 0.72/1.08    , [ :=( X, X )] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 55, [ ~( e( X ) ), ~( s2least( u6r1( X ) ) ), f( X ), c( u6r1( X )
% 0.72/1.08     ) ] )
% 0.72/1.08  , clause( 152, [ ~( e( X ) ), c( u6r1( X ) ), ~( s2least( u6r1( X ) ) ), f( 
% 0.72/1.08    X ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.72/1.08    3 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  resolution(
% 0.72/1.08  clause( 153, [ s2least( X ), equalish( Y, u7r1( X ) ), ~( s( X, Y ) ), 
% 0.72/1.08    s1most( X ) ] )
% 0.72/1.08  , clause( 25, [ s2least( X ), equalish( Y, Z ), ~( s( X, Z ) ), ~( s( X, Y
% 0.72/1.08     ) ) ] )
% 0.72/1.08  , 2, clause( 31, [ s1most( X ), s( X, u7r1( X ) ) ] )
% 0.72/1.08  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, u7r1( X ) )] ), 
% 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( 62, [ s2least( X ), equalish( Y, u7r1( X ) ), s1most( X ), ~( s( X
% 0.72/1.08    , Y ) ) ] )
% 0.72/1.08  , clause( 153, [ s2least( X ), equalish( Y, u7r1( X ) ), ~( s( X, Y ) ), 
% 0.72/1.08    s1most( X ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.08     ), ==>( 1, 1 ), ==>( 2, 3 ), ==>( 3, 2 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  resolution(
% 0.72/1.08  clause( 155, [ t2least( u6r1( X ) ), ~( e( X ) ), ~( s2least( u6r1( X ) ) )
% 0.72/1.08    , f( X ) ] )
% 0.72/1.08  , clause( 2, [ t2least( X ), ~( c( X ) ) ] )
% 0.72/1.08  , 1, clause( 55, [ ~( e( X ) ), ~( s2least( u6r1( X ) ) ), f( X ), c( u6r1( 
% 0.72/1.08    X ) ) ] )
% 0.72/1.08  , 3, substitution( 0, [ :=( X, u6r1( X ) )] ), substitution( 1, [ :=( X, X
% 0.72/1.08     )] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 66, [ ~( e( X ) ), f( X ), ~( s2least( u6r1( X ) ) ), t2least( u6r1( 
% 0.72/1.08    X ) ) ] )
% 0.72/1.08  , clause( 155, [ t2least( u6r1( X ) ), ~( e( X ) ), ~( s2least( u6r1( X ) )
% 0.72/1.08     ), f( X ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 
% 0.72/1.08    0 ), ==>( 2, 2 ), ==>( 3, 1 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  resolution(
% 0.72/1.08  clause( 156, [ s2least( X ), equalish( u7r2( X ), u7r1( X ) ), s1most( X )
% 0.72/1.08    , s1most( X ) ] )
% 0.72/1.08  , clause( 62, [ s2least( X ), equalish( Y, u7r1( X ) ), s1most( X ), ~( s( 
% 0.72/1.08    X, Y ) ) ] )
% 0.72/1.08  , 3, clause( 32, [ s1most( X ), s( X, u7r2( X ) ) ] )
% 0.72/1.08  , 1, substitution( 0, [ :=( X, X ), :=( Y, u7r2( X ) )] ), substitution( 1
% 0.72/1.08    , [ :=( X, X )] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  resolution(
% 0.72/1.08  clause( 158, [ s1most( X ), s2least( X ), s1most( X ), s1most( X ) ] )
% 0.72/1.08  , clause( 30, [ s1most( X ), ~( equalish( u7r2( X ), u7r1( X ) ) ) ] )
% 0.72/1.08  , 1, clause( 156, [ s2least( X ), equalish( u7r2( X ), u7r1( X ) ), s1most( 
% 0.72/1.08    X ), s1most( X ) ] )
% 0.72/1.08  , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.72/1.08    ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  factor(
% 0.72/1.08  clause( 159, [ s1most( X ), s2least( X ), s1most( X ) ] )
% 0.72/1.08  , clause( 158, [ s1most( X ), s2least( X ), s1most( X ), s1most( X ) ] )
% 0.72/1.08  , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  factor(
% 0.72/1.08  clause( 160, [ s1most( X ), s2least( X ) ] )
% 0.72/1.08  , clause( 159, [ s1most( X ), s2least( X ), s1most( X ) ] )
% 0.72/1.08  , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 80, [ s1most( X ), s2least( X ) ] )
% 0.72/1.08  , clause( 160, [ s1most( X ), s2least( X ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.72/1.08    1 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  resolution(
% 0.72/1.08  clause( 161, [ ~( t1most( X ) ), equalish( u1r2( X ), u1r1( X ) ), ~( 
% 0.72/1.08    t2least( X ) ), ~( t2least( X ) ) ] )
% 0.72/1.08  , clause( 44, [ ~( t1most( X ) ), equalish( u1r2( X ), Y ), ~( t2least( X )
% 0.72/1.08     ), ~( t( X, Y ) ) ] )
% 0.72/1.08  , 3, clause( 5, [ ~( t2least( X ) ), t( X, u1r1( X ) ) ] )
% 0.72/1.08  , 1, substitution( 0, [ :=( X, X ), :=( Y, u1r1( X ) )] ), substitution( 1
% 0.72/1.08    , [ :=( X, X )] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  resolution(
% 0.72/1.08  clause( 163, [ ~( t2least( X ) ), ~( t1most( X ) ), ~( t2least( X ) ), ~( 
% 0.72/1.08    t2least( X ) ) ] )
% 0.72/1.08  , clause( 4, [ ~( t2least( X ) ), ~( equalish( u1r2( X ), u1r1( X ) ) ) ]
% 0.72/1.08     )
% 0.72/1.08  , 1, clause( 161, [ ~( t1most( X ) ), equalish( u1r2( X ), u1r1( X ) ), ~( 
% 0.72/1.08    t2least( X ) ), ~( t2least( X ) ) ] )
% 0.72/1.08  , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.72/1.08    ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  factor(
% 0.72/1.08  clause( 164, [ ~( t2least( X ) ), ~( t1most( X ) ), ~( t2least( X ) ) ] )
% 0.72/1.08  , clause( 163, [ ~( t2least( X ) ), ~( t1most( X ) ), ~( t2least( X ) ), 
% 0.72/1.08    ~( t2least( X ) ) ] )
% 0.72/1.08  , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  factor(
% 0.72/1.08  clause( 165, [ ~( t2least( X ) ), ~( t1most( X ) ) ] )
% 0.72/1.08  , clause( 164, [ ~( t2least( X ) ), ~( t1most( X ) ), ~( t2least( X ) ) ]
% 0.72/1.08     )
% 0.72/1.08  , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 82, [ ~( t1most( X ) ), ~( t2least( X ) ) ] )
% 0.72/1.08  , clause( 165, [ ~( t2least( X ) ), ~( t1most( X ) ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.72/1.08    0 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  resolution(
% 0.72/1.08  clause( 166, [ ~( t1most( u6r1( X ) ) ), ~( e( X ) ), f( X ), ~( s2least( 
% 0.72/1.08    u6r1( X ) ) ) ] )
% 0.72/1.08  , clause( 82, [ ~( t1most( X ) ), ~( t2least( X ) ) ] )
% 0.72/1.08  , 1, clause( 66, [ ~( e( X ) ), f( X ), ~( s2least( u6r1( X ) ) ), t2least( 
% 0.72/1.08    u6r1( X ) ) ] )
% 0.72/1.08  , 3, substitution( 0, [ :=( X, u6r1( X ) )] ), substitution( 1, [ :=( X, X
% 0.72/1.08     )] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 83, [ ~( e( X ) ), f( X ), ~( s2least( u6r1( X ) ) ), ~( t1most( 
% 0.72/1.08    u6r1( X ) ) ) ] )
% 0.72/1.08  , clause( 166, [ ~( t1most( u6r1( X ) ) ), ~( e( X ) ), f( X ), ~( s2least( 
% 0.72/1.08    u6r1( X ) ) ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 3 ), ==>( 1, 
% 0.72/1.08    0 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  resolution(
% 0.72/1.08  clause( 167, [ ~( e( X ) ), f( X ), ~( s2least( u6r1( X ) ) ), ~( d( u6r1( 
% 0.72/1.08    X ) ) ) ] )
% 0.72/1.08  , clause( 83, [ ~( e( X ) ), f( X ), ~( s2least( u6r1( X ) ) ), ~( t1most( 
% 0.72/1.08    u6r1( X ) ) ) ] )
% 0.72/1.08  , 3, clause( 8, [ ~( d( X ) ), t1most( X ) ] )
% 0.72/1.08  , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, u6r1( X )
% 0.72/1.08     )] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  resolution(
% 0.72/1.08  clause( 168, [ ~( e( X ) ), f( X ), ~( s2least( u6r1( X ) ) ), ~( e( X ) )
% 0.72/1.08    , f( X ) ] )
% 0.72/1.08  , clause( 167, [ ~( e( X ) ), f( X ), ~( s2least( u6r1( X ) ) ), ~( d( u6r1( 
% 0.72/1.08    X ) ) ) ] )
% 0.72/1.08  , 3, clause( 37, [ d( u6r1( X ) ), ~( e( X ) ), f( X ) ] )
% 0.72/1.08  , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.72/1.08    ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  factor(
% 0.72/1.08  clause( 169, [ ~( e( X ) ), f( X ), ~( s2least( u6r1( X ) ) ), f( X ) ] )
% 0.72/1.08  , clause( 168, [ ~( e( X ) ), f( X ), ~( s2least( u6r1( X ) ) ), ~( e( X )
% 0.72/1.08     ), f( X ) ] )
% 0.72/1.08  , 0, 3, substitution( 0, [ :=( X, X )] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  factor(
% 0.72/1.08  clause( 170, [ ~( e( X ) ), f( X ), ~( s2least( u6r1( X ) ) ) ] )
% 0.72/1.08  , clause( 169, [ ~( e( X ) ), f( X ), ~( s2least( u6r1( X ) ) ), f( X ) ]
% 0.72/1.08     )
% 0.72/1.08  , 1, 3, substitution( 0, [ :=( X, X )] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 84, [ ~( e( X ) ), f( X ), ~( s2least( u6r1( X ) ) ) ] )
% 0.72/1.08  , clause( 170, [ ~( e( X ) ), f( X ), ~( s2least( u6r1( 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  resolution(
% 0.72/1.08  clause( 171, [ ~( e( X ) ), f( X ), s1most( u6r1( X ) ) ] )
% 0.72/1.08  , clause( 84, [ ~( e( X ) ), f( X ), ~( s2least( u6r1( X ) ) ) ] )
% 0.72/1.08  , 2, clause( 80, [ s1most( X ), s2least( X ) ] )
% 0.72/1.08  , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, u6r1( X )
% 0.72/1.08     )] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  resolution(
% 0.72/1.08  clause( 172, [ f( X ), ~( e( X ) ), f( X ) ] )
% 0.72/1.08  , clause( 27, [ f( X ), ~( s1most( u6r1( X ) ) ) ] )
% 0.72/1.08  , 1, clause( 171, [ ~( e( X ) ), f( X ), s1most( u6r1( X ) ) ] )
% 0.72/1.08  , 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.72/1.08    ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  factor(
% 0.72/1.08  clause( 173, [ f( X ), ~( e( X ) ) ] )
% 0.72/1.08  , clause( 172, [ f( X ), ~( e( X ) ), f( X ) ] )
% 0.72/1.08  , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  subsumption(
% 0.72/1.08  clause( 85, [ ~( e( X ) ), f( X ) ] )
% 0.72/1.08  , clause( 173, [ f( X ), ~( e( X ) ) ] )
% 0.72/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.72/1.08    0 )] ) ).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  resolution(
% 0.72/1.08  clause( 174, [ ~( e( exist ) ) ] )
% 0.72/1.08  , clause( 1, [ ~( f( exist ) ) ] )
% 0.72/1.08  , 0, clause( 85, [ ~( e( X ) ), f( X ) ] )
% 0.72/1.08  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, exist )] )).
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  resolution(
% 0.72/1.08  clause( 175, [] )
% 0.72/1.08  , clause( 174, [ ~( e( exist ) ) ] )
% 0.72/1.08  , 0, clause( 0, [ e( exist ) ] )
% 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( 86, [] )
% 0.72/1.08  , clause( 175, [] )
% 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:        1591
% 0.72/1.08  space for clauses:      4585
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  clauses generated:      141
% 0.72/1.08  clauses kept:           87
% 0.72/1.08  clauses selected:       74
% 0.72/1.08  clauses deleted:        10
% 0.72/1.08  clauses inuse deleted:  0
% 0.72/1.08  
% 0.72/1.08  subsentry:          84
% 0.72/1.08  literals s-matched: 74
% 0.72/1.08  literals matched:   45
% 0.72/1.08  full subsumption:   0
% 0.72/1.08  
% 0.72/1.08  checksum:           -163167343
% 0.72/1.08  
% 0.72/1.08  
% 0.72/1.08  Bliksem ended
%------------------------------------------------------------------------------