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Bliksem---1.12.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : KRS003-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n020.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 02:41:55 EDT 2022

% Result   : Unsatisfiable 0.47s 1.11s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : KRS003-1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % DateTime : Tue Jun  7 18:59:06 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.47/1.10  *** allocated 10000 integers for termspace/termends
% 0.47/1.10  *** allocated 10000 integers for clauses
% 0.47/1.10  *** allocated 10000 integers for justifications
% 0.47/1.10  Bliksem 1.12
% 0.47/1.10  
% 0.47/1.10  
% 0.47/1.10  Automatic Strategy Selection
% 0.47/1.10  
% 0.47/1.10  Clauses:
% 0.47/1.10  [
% 0.47/1.10     [ e( exist ) ],
% 0.47/1.10     [ f( exist ) ],
% 0.47/1.10     [ s2least( X ), ~( c( X ) ) ],
% 0.47/1.10     [ c( X ), ~( s2least( X ) ) ],
% 0.47/1.10     [ ~( s2least( X ) ), ~( equalish( u1r2( X ), u1r1( X ) ) ) ],
% 0.47/1.10     [ s( X, u1r1( X ) ), ~( s2least( X ) ) ],
% 0.47/1.10     [ s( X, u1r2( X ) ), ~( s2least( X ) ) ],
% 0.47/1.10     [ s2least( X ), equalish( Y, Z ), ~( s( X, Y ) ), ~( s( X, Z ) ) ],
% 0.47/1.10     [ s1most( X ), ~( d( X ) ) ],
% 0.47/1.10     [ d( X ), ~( s1most( X ) ) ],
% 0.47/1.10     [ equalish( X, Y ), ~( s1most( Z ) ), ~( s( Z, X ) ), ~( s( Z, Y ) ) ]
% 0.47/1.10    ,
% 0.47/1.10     [ s1most( X ), ~( equalish( u3r2( X ), u3r1( X ) ) ) ],
% 0.47/1.10     [ s1most( X ), s( X, u3r1( X ) ) ],
% 0.47/1.10     [ s1most( X ), s( X, u3r2( X ) ) ],
% 0.47/1.10     [ c( X ), ~( e( X ) ) ],
% 0.47/1.10     [ d( X ), ~( f( X ) ) ]
% 0.47/1.10  ] .
% 0.47/1.10  
% 0.47/1.10  
% 0.47/1.10  percentage equality = 0.000000, percentage horn = 0.812500
% 0.47/1.10  This a non-horn, non-equality problem
% 0.47/1.10  
% 0.47/1.10  
% 0.47/1.10  Options Used:
% 0.47/1.10  
% 0.47/1.10  useres =            1
% 0.47/1.10  useparamod =        0
% 0.47/1.11  useeqrefl =         0
% 0.47/1.11  useeqfact =         0
% 0.47/1.11  usefactor =         1
% 0.47/1.11  usesimpsplitting =  0
% 0.47/1.11  usesimpdemod =      0
% 0.47/1.11  usesimpres =        3
% 0.47/1.11  
% 0.47/1.11  resimpinuse      =  1000
% 0.47/1.11  resimpclauses =     20000
% 0.47/1.11  substype =          standard
% 0.47/1.11  backwardsubs =      1
% 0.47/1.11  selectoldest =      5
% 0.47/1.11  
% 0.47/1.11  litorderings [0] =  split
% 0.47/1.11  litorderings [1] =  liftord
% 0.47/1.11  
% 0.47/1.11  termordering =      none
% 0.47/1.11  
% 0.47/1.11  litapriori =        1
% 0.47/1.11  termapriori =       0
% 0.47/1.11  litaposteriori =    0
% 0.47/1.11  termaposteriori =   0
% 0.47/1.11  demodaposteriori =  0
% 0.47/1.11  ordereqreflfact =   0
% 0.47/1.11  
% 0.47/1.11  litselect =         none
% 0.47/1.11  
% 0.47/1.11  maxweight =         15
% 0.47/1.11  maxdepth =          30000
% 0.47/1.11  maxlength =         115
% 0.47/1.11  maxnrvars =         195
% 0.47/1.11  excuselevel =       1
% 0.47/1.11  increasemaxweight = 1
% 0.47/1.11  
% 0.47/1.11  maxselected =       10000000
% 0.47/1.11  maxnrclauses =      10000000
% 0.47/1.11  
% 0.47/1.11  showgenerated =    0
% 0.47/1.11  showkept =         0
% 0.47/1.11  showselected =     0
% 0.47/1.11  showdeleted =      0
% 0.47/1.11  showresimp =       1
% 0.47/1.11  showstatus =       2000
% 0.47/1.11  
% 0.47/1.11  prologoutput =     1
% 0.47/1.11  nrgoals =          5000000
% 0.47/1.11  totalproof =       1
% 0.47/1.11  
% 0.47/1.11  Symbols occurring in the translation:
% 0.47/1.11  
% 0.47/1.11  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.47/1.11  .  [1, 2]      (w:1, o:28, a:1, s:1, b:0), 
% 0.47/1.11  !  [4, 1]      (w:0, o:13, a:1, s:1, b:0), 
% 0.47/1.11  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.47/1.11  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.47/1.11  exist  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.47/1.11  e  [40, 1]      (w:1, o:19, a:1, s:1, b:0), 
% 0.47/1.11  f  [41, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.47/1.11  s2least  [43, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.47/1.11  c  [44, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.47/1.11  u1r2  [45, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.47/1.11  u1r1  [46, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.47/1.11  equalish  [47, 2]      (w:1, o:53, a:1, s:1, b:0), 
% 0.47/1.11  s  [48, 2]      (w:1, o:54, a:1, s:1, b:0), 
% 0.47/1.11  s1most  [51, 1]      (w:1, o:21, a:1, s:1, b:0), 
% 0.47/1.11  d  [52, 1]      (w:1, o:18, a:1, s:1, b:0), 
% 0.47/1.11  u3r2  [53, 1]      (w:1, o:27, a:1, s:1, b:0), 
% 0.47/1.11  u3r1  [54, 1]      (w:1, o:26, a:1, s:1, b:0).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  Starting Search:
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  Bliksems!, er is een bewijs:
% 0.47/1.11  % SZS status Unsatisfiable
% 0.47/1.11  % SZS output start Refutation
% 0.47/1.11  
% 0.47/1.11  clause( 0, [ e( exist ) ] )
% 0.47/1.11  .
% 0.47/1.11  clause( 1, [ f( exist ) ] )
% 0.47/1.11  .
% 0.47/1.11  clause( 2, [ s2least( X ), ~( c( X ) ) ] )
% 0.47/1.11  .
% 0.47/1.11  clause( 4, [ ~( s2least( X ) ), ~( equalish( u1r2( X ), u1r1( X ) ) ) ] )
% 0.47/1.11  .
% 0.47/1.11  clause( 5, [ ~( s2least( X ) ), s( X, u1r1( X ) ) ] )
% 0.47/1.11  .
% 0.47/1.11  clause( 6, [ ~( s2least( X ) ), s( X, u1r2( X ) ) ] )
% 0.47/1.11  .
% 0.47/1.11  clause( 8, [ ~( d( X ) ), s1most( X ) ] )
% 0.47/1.11  .
% 0.47/1.11  clause( 10, [ ~( s1most( Z ) ), equalish( X, Y ), ~( s( Z, Y ) ), ~( s( Z, 
% 0.47/1.11    X ) ) ] )
% 0.47/1.11  .
% 0.47/1.11  clause( 14, [ ~( e( X ) ), c( X ) ] )
% 0.47/1.11  .
% 0.47/1.11  clause( 15, [ d( X ), ~( f( X ) ) ] )
% 0.47/1.11  .
% 0.47/1.11  clause( 18, [ d( exist ) ] )
% 0.47/1.11  .
% 0.47/1.11  clause( 19, [ ~( e( X ) ), s2least( X ) ] )
% 0.47/1.11  .
% 0.47/1.11  clause( 28, [ ~( s1most( X ) ), equalish( Y, u1r1( X ) ), ~( s2least( X ) )
% 0.47/1.11    , ~( s( X, Y ) ) ] )
% 0.47/1.11  .
% 0.47/1.11  clause( 32, [ ~( s1most( X ) ), ~( s2least( X ) ) ] )
% 0.47/1.11  .
% 0.47/1.11  clause( 34, [ ~( e( X ) ), ~( s1most( X ) ) ] )
% 0.47/1.11  .
% 0.47/1.11  clause( 35, [ ~( d( X ) ), ~( e( X ) ) ] )
% 0.47/1.11  .
% 0.47/1.11  clause( 36, [] )
% 0.47/1.11  .
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  % SZS output end Refutation
% 0.47/1.11  found a proof!
% 0.47/1.11  
% 0.47/1.11  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.47/1.11  
% 0.47/1.11  initialclauses(
% 0.47/1.11  [ clause( 38, [ e( exist ) ] )
% 0.47/1.11  , clause( 39, [ f( exist ) ] )
% 0.47/1.11  , clause( 40, [ s2least( X ), ~( c( X ) ) ] )
% 0.47/1.11  , clause( 41, [ c( X ), ~( s2least( X ) ) ] )
% 0.47/1.11  , clause( 42, [ ~( s2least( X ) ), ~( equalish( u1r2( X ), u1r1( X ) ) ) ]
% 0.47/1.11     )
% 0.47/1.11  , clause( 43, [ s( X, u1r1( X ) ), ~( s2least( X ) ) ] )
% 0.47/1.11  , clause( 44, [ s( X, u1r2( X ) ), ~( s2least( X ) ) ] )
% 0.47/1.11  , clause( 45, [ s2least( X ), equalish( Y, Z ), ~( s( X, Y ) ), ~( s( X, Z
% 0.47/1.11     ) ) ] )
% 0.47/1.11  , clause( 46, [ s1most( X ), ~( d( X ) ) ] )
% 0.47/1.11  , clause( 47, [ d( X ), ~( s1most( X ) ) ] )
% 0.47/1.11  , clause( 48, [ equalish( X, Y ), ~( s1most( Z ) ), ~( s( Z, X ) ), ~( s( Z
% 0.47/1.11    , Y ) ) ] )
% 0.47/1.11  , clause( 49, [ s1most( X ), ~( equalish( u3r2( X ), u3r1( X ) ) ) ] )
% 0.47/1.11  , clause( 50, [ s1most( X ), s( X, u3r1( X ) ) ] )
% 0.47/1.11  , clause( 51, [ s1most( X ), s( X, u3r2( X ) ) ] )
% 0.47/1.11  , clause( 52, [ c( X ), ~( e( X ) ) ] )
% 0.47/1.11  , clause( 53, [ d( X ), ~( f( X ) ) ] )
% 0.47/1.11  ] ).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  subsumption(
% 0.47/1.11  clause( 0, [ e( exist ) ] )
% 0.47/1.11  , clause( 38, [ e( exist ) ] )
% 0.47/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  subsumption(
% 0.47/1.11  clause( 1, [ f( exist ) ] )
% 0.47/1.11  , clause( 39, [ f( exist ) ] )
% 0.47/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  subsumption(
% 0.47/1.11  clause( 2, [ s2least( X ), ~( c( X ) ) ] )
% 0.47/1.11  , clause( 40, [ s2least( X ), ~( c( X ) ) ] )
% 0.47/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.47/1.11    1 )] ) ).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  subsumption(
% 0.47/1.11  clause( 4, [ ~( s2least( X ) ), ~( equalish( u1r2( X ), u1r1( X ) ) ) ] )
% 0.47/1.11  , clause( 42, [ ~( s2least( X ) ), ~( equalish( u1r2( X ), u1r1( X ) ) ) ]
% 0.47/1.11     )
% 0.47/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.47/1.11    1 )] ) ).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  subsumption(
% 0.47/1.11  clause( 5, [ ~( s2least( X ) ), s( X, u1r1( X ) ) ] )
% 0.47/1.11  , clause( 43, [ s( X, u1r1( X ) ), ~( s2least( X ) ) ] )
% 0.47/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.47/1.11    0 )] ) ).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  subsumption(
% 0.47/1.11  clause( 6, [ ~( s2least( X ) ), s( X, u1r2( X ) ) ] )
% 0.47/1.11  , clause( 44, [ s( X, u1r2( X ) ), ~( s2least( X ) ) ] )
% 0.47/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.47/1.11    0 )] ) ).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  subsumption(
% 0.47/1.11  clause( 8, [ ~( d( X ) ), s1most( X ) ] )
% 0.47/1.11  , clause( 46, [ s1most( X ), ~( d( X ) ) ] )
% 0.47/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.47/1.11    0 )] ) ).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  subsumption(
% 0.47/1.11  clause( 10, [ ~( s1most( Z ) ), equalish( X, Y ), ~( s( Z, Y ) ), ~( s( Z, 
% 0.47/1.11    X ) ) ] )
% 0.47/1.11  , clause( 48, [ equalish( X, Y ), ~( s1most( Z ) ), ~( s( Z, X ) ), ~( s( Z
% 0.47/1.11    , Y ) ) ] )
% 0.47/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.47/1.11    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 3 ), ==>( 3, 2 )] )
% 0.47/1.11     ).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  subsumption(
% 0.47/1.11  clause( 14, [ ~( e( X ) ), c( X ) ] )
% 0.47/1.11  , clause( 52, [ c( X ), ~( e( X ) ) ] )
% 0.47/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.47/1.11    0 )] ) ).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  subsumption(
% 0.47/1.11  clause( 15, [ d( X ), ~( f( X ) ) ] )
% 0.47/1.11  , clause( 53, [ d( X ), ~( f( X ) ) ] )
% 0.47/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.47/1.11    1 )] ) ).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  resolution(
% 0.47/1.11  clause( 61, [ d( exist ) ] )
% 0.47/1.11  , clause( 15, [ d( X ), ~( f( X ) ) ] )
% 0.47/1.11  , 1, clause( 1, [ f( exist ) ] )
% 0.47/1.11  , 0, substitution( 0, [ :=( X, exist )] ), substitution( 1, [] )).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  subsumption(
% 0.47/1.11  clause( 18, [ d( exist ) ] )
% 0.47/1.11  , clause( 61, [ d( exist ) ] )
% 0.47/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  resolution(
% 0.47/1.11  clause( 62, [ s2least( X ), ~( e( X ) ) ] )
% 0.47/1.11  , clause( 2, [ s2least( X ), ~( c( X ) ) ] )
% 0.47/1.11  , 1, clause( 14, [ ~( e( X ) ), c( X ) ] )
% 0.47/1.11  , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.47/1.11    ).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  subsumption(
% 0.47/1.11  clause( 19, [ ~( e( X ) ), s2least( X ) ] )
% 0.47/1.11  , clause( 62, [ s2least( X ), ~( e( X ) ) ] )
% 0.47/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.47/1.11    0 )] ) ).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  resolution(
% 0.47/1.11  clause( 63, [ ~( s1most( X ) ), equalish( Y, u1r1( X ) ), ~( s( X, Y ) ), 
% 0.47/1.11    ~( s2least( X ) ) ] )
% 0.47/1.11  , clause( 10, [ ~( s1most( Z ) ), equalish( X, Y ), ~( s( Z, Y ) ), ~( s( Z
% 0.47/1.11    , X ) ) ] )
% 0.47/1.11  , 2, clause( 5, [ ~( s2least( X ) ), s( X, u1r1( X ) ) ] )
% 0.47/1.11  , 1, substitution( 0, [ :=( X, Y ), :=( Y, u1r1( X ) ), :=( Z, X )] ), 
% 0.47/1.11    substitution( 1, [ :=( X, X )] )).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  subsumption(
% 0.47/1.11  clause( 28, [ ~( s1most( X ) ), equalish( Y, u1r1( X ) ), ~( s2least( X ) )
% 0.47/1.11    , ~( s( X, Y ) ) ] )
% 0.47/1.11  , clause( 63, [ ~( s1most( X ) ), equalish( Y, u1r1( X ) ), ~( s( X, Y ) )
% 0.47/1.11    , ~( s2least( X ) ) ] )
% 0.47/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.47/1.11     ), ==>( 1, 1 ), ==>( 2, 3 ), ==>( 3, 2 )] ) ).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  resolution(
% 0.47/1.11  clause( 65, [ ~( s1most( X ) ), equalish( u1r2( X ), u1r1( X ) ), ~( 
% 0.47/1.11    s2least( X ) ), ~( s2least( X ) ) ] )
% 0.47/1.11  , clause( 28, [ ~( s1most( X ) ), equalish( Y, u1r1( X ) ), ~( s2least( X )
% 0.47/1.11     ), ~( s( X, Y ) ) ] )
% 0.47/1.11  , 3, clause( 6, [ ~( s2least( X ) ), s( X, u1r2( X ) ) ] )
% 0.47/1.11  , 1, substitution( 0, [ :=( X, X ), :=( Y, u1r2( X ) )] ), substitution( 1
% 0.47/1.11    , [ :=( X, X )] )).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  resolution(
% 0.47/1.11  clause( 67, [ ~( s2least( X ) ), ~( s1most( X ) ), ~( s2least( X ) ), ~( 
% 0.47/1.11    s2least( X ) ) ] )
% 0.47/1.11  , clause( 4, [ ~( s2least( X ) ), ~( equalish( u1r2( X ), u1r1( X ) ) ) ]
% 0.47/1.11     )
% 0.47/1.11  , 1, clause( 65, [ ~( s1most( X ) ), equalish( u1r2( X ), u1r1( X ) ), ~( 
% 0.47/1.11    s2least( X ) ), ~( s2least( X ) ) ] )
% 0.47/1.11  , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.47/1.11    ).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  factor(
% 0.47/1.11  clause( 68, [ ~( s2least( X ) ), ~( s1most( X ) ), ~( s2least( X ) ) ] )
% 0.47/1.11  , clause( 67, [ ~( s2least( X ) ), ~( s1most( X ) ), ~( s2least( X ) ), ~( 
% 0.47/1.11    s2least( X ) ) ] )
% 0.47/1.11  , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  factor(
% 0.47/1.11  clause( 69, [ ~( s2least( X ) ), ~( s1most( X ) ) ] )
% 0.47/1.11  , clause( 68, [ ~( s2least( X ) ), ~( s1most( X ) ), ~( s2least( X ) ) ] )
% 0.47/1.11  , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  subsumption(
% 0.47/1.11  clause( 32, [ ~( s1most( X ) ), ~( s2least( X ) ) ] )
% 0.47/1.11  , clause( 69, [ ~( s2least( X ) ), ~( s1most( X ) ) ] )
% 0.47/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.47/1.11    0 )] ) ).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  resolution(
% 0.47/1.11  clause( 70, [ ~( s1most( X ) ), ~( e( X ) ) ] )
% 0.47/1.11  , clause( 32, [ ~( s1most( X ) ), ~( s2least( X ) ) ] )
% 0.47/1.11  , 1, clause( 19, [ ~( e( X ) ), s2least( X ) ] )
% 0.47/1.11  , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.47/1.11    ).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  subsumption(
% 0.47/1.11  clause( 34, [ ~( e( X ) ), ~( s1most( X ) ) ] )
% 0.47/1.11  , clause( 70, [ ~( s1most( X ) ), ~( e( X ) ) ] )
% 0.47/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.47/1.11    0 )] ) ).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  resolution(
% 0.47/1.11  clause( 71, [ ~( e( X ) ), ~( d( X ) ) ] )
% 0.47/1.11  , clause( 34, [ ~( e( X ) ), ~( s1most( X ) ) ] )
% 0.47/1.11  , 1, clause( 8, [ ~( d( X ) ), s1most( X ) ] )
% 0.47/1.11  , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.47/1.11    ).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  subsumption(
% 0.47/1.11  clause( 35, [ ~( d( X ) ), ~( e( X ) ) ] )
% 0.47/1.11  , clause( 71, [ ~( e( X ) ), ~( d( X ) ) ] )
% 0.47/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.47/1.11    0 )] ) ).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  resolution(
% 0.47/1.11  clause( 72, [ ~( d( exist ) ) ] )
% 0.47/1.11  , clause( 35, [ ~( d( X ) ), ~( e( X ) ) ] )
% 0.47/1.11  , 1, clause( 0, [ e( exist ) ] )
% 0.47/1.11  , 0, substitution( 0, [ :=( X, exist )] ), substitution( 1, [] )).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  resolution(
% 0.47/1.11  clause( 73, [] )
% 0.47/1.11  , clause( 72, [ ~( d( exist ) ) ] )
% 0.47/1.11  , 0, clause( 18, [ d( exist ) ] )
% 0.47/1.11  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  subsumption(
% 0.47/1.11  clause( 36, [] )
% 0.47/1.11  , clause( 73, [] )
% 0.47/1.11  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  end.
% 0.47/1.11  
% 0.47/1.11  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.47/1.11  
% 0.47/1.11  Memory use:
% 0.47/1.11  
% 0.47/1.11  space for terms:        611
% 0.47/1.11  space for clauses:      1961
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  clauses generated:      58
% 0.47/1.11  clauses kept:           37
% 0.47/1.11  clauses selected:       30
% 0.47/1.11  clauses deleted:        0
% 0.47/1.11  clauses inuse deleted:  0
% 0.47/1.11  
% 0.47/1.11  subsentry:          34
% 0.47/1.11  literals s-matched: 29
% 0.47/1.11  literals matched:   15
% 0.47/1.11  full subsumption:   0
% 0.47/1.11  
% 0.47/1.11  checksum:           -949563234
% 0.47/1.11  
% 0.47/1.11  
% 0.47/1.11  Bliksem ended
%------------------------------------------------------------------------------