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Bliksem---1.12.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN586-1 : TPTP v8.1.0. Released v2.5.0.
% 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 21 02:53:09 EDT 2022

% Result   : Unsatisfiable 0.72s 1.21s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN586-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % 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 : Mon Jul 11 18:04:25 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.72/1.21  *** allocated 10000 integers for termspace/termends
% 0.72/1.21  *** allocated 10000 integers for clauses
% 0.72/1.21  *** allocated 10000 integers for justifications
% 0.72/1.21  Bliksem 1.12
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  Automatic Strategy Selection
% 0.72/1.21  
% 0.72/1.21  Clauses:
% 0.72/1.21  [
% 0.72/1.21     [ p12( X, X ) ],
% 0.72/1.21     [ p5( X, X ) ],
% 0.72/1.21     [ p3( X, X ) ],
% 0.72/1.21     [ p2( X, X ) ],
% 0.72/1.21     [ p3( c21, c19 ) ],
% 0.72/1.21     [ ~( p12( f13( c20 ), f13( c18 ) ) ) ],
% 0.72/1.21     [ p12( f13( X ), f13( Y ) ), ~( p2( X, Y ) ) ],
% 0.72/1.21     [ p5( f7( X ), f7( Y ) ), ~( p3( X, Y ) ) ],
% 0.72/1.21     [ p5( f10( X ), f10( Y ) ), ~( p5( X, Y ) ) ],
% 0.72/1.21     [ p3( f9( X ), f9( Y ) ), ~( p3( X, Y ) ) ],
% 0.72/1.21     [ p3( f8( X ), f8( Y ) ), ~( p3( X, Y ) ) ],
% 0.72/1.21     [ p3( f11( X ), f11( Y ) ), ~( p3( X, Y ) ) ],
% 0.72/1.21     [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ],
% 0.72/1.21     [ p5( X, Y ), ~( p5( Z, X ) ), ~( p5( Z, Y ) ) ],
% 0.72/1.21     [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ],
% 0.72/1.21     [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.72/1.21     [ p15( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p15( Z, T ) ) ],
% 0.72/1.21     [ p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18 ) ), c19 ), 
% 0.72/1.21    c20 ) ],
% 0.72/1.21     [ p3( f14( X, Y ), f14( Z, T ) ), ~( p2( X, Z ) ), ~( p5( Y, T ) ) ]
% 0.72/1.21    ,
% 0.72/1.21     [ p2( f4( X, Y ), f4( Z, T ) ), ~( p2( X, Z ) ), ~( p3( Y, T ) ) ],
% 0.72/1.21     [ p2( f6( X, Y ), f6( Z, T ) ), ~( p2( Y, T ) ), ~( p5( X, Z ) ) ],
% 0.72/1.21     [ p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18 ) ), f11( c21
% 0.72/1.21     ) ), c20 ) ],
% 0.72/1.21     [ ~( p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18 ) ), f11( 
% 0.72/1.21    c19 ) ), c20 ) ) ],
% 0.72/1.21     [ p12( f13( X ), f13( c18 ) ), p15( f4( f6( f10( Y ), f6( f7( f8( f9( 
% 0.72/1.21    c17 ) ) ), c18 ) ), f14( X, Y ) ), X ) ],
% 0.72/1.21     [ p12( f13( X ), f13( c18 ) ), ~( p15( f4( f6( f10( Y ), f6( f7( f8( f9( 
% 0.72/1.21    c17 ) ) ), c18 ) ), f11( f14( X, Y ) ) ), X ) ) ],
% 0.72/1.21     [ p3( X, Y ), p12( f13( Z ), f13( c18 ) ), p15( f4( f6( f10( T ), f6( f7( 
% 0.72/1.21    f8( f9( c17 ) ) ), c18 ) ), f11( Y ) ), Z ), p15( f4( f6( f10( T ), f6( 
% 0.72/1.21    f7( f8( f9( c17 ) ) ), c18 ) ), f11( X ) ), Z ), ~( p15( f4( f6( f10( T )
% 0.72/1.21    , f6( f7( f8( f9( c17 ) ) ), c18 ) ), X ), Z ) ), ~( p15( f4( f6( f10( T
% 0.72/1.21     ), f6( f7( f8( f9( c17 ) ) ), c18 ) ), Y ), Z ) ) ]
% 0.72/1.21  ] .
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  percentage equality = 0.000000, percentage horn = 0.923077
% 0.72/1.21  This is a near-Horn, non-equality  problem
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  Options Used:
% 0.72/1.21  
% 0.72/1.21  useres =            1
% 0.72/1.21  useparamod =        0
% 0.72/1.21  useeqrefl =         0
% 0.72/1.21  useeqfact =         0
% 0.72/1.21  usefactor =         1
% 0.72/1.21  usesimpsplitting =  0
% 0.72/1.21  usesimpdemod =      0
% 0.72/1.21  usesimpres =        4
% 0.72/1.21  
% 0.72/1.21  resimpinuse      =  1000
% 0.72/1.21  resimpclauses =     20000
% 0.72/1.21  substype =          standard
% 0.72/1.21  backwardsubs =      1
% 0.72/1.21  selectoldest =      5
% 0.72/1.21  
% 0.72/1.21  litorderings [0] =  split
% 0.72/1.21  litorderings [1] =  liftord
% 0.72/1.21  
% 0.72/1.21  termordering =      none
% 0.72/1.21  
% 0.72/1.21  litapriori =        1
% 0.72/1.21  termapriori =       0
% 0.72/1.21  litaposteriori =    0
% 0.72/1.21  termaposteriori =   0
% 0.72/1.21  demodaposteriori =  0
% 0.72/1.21  ordereqreflfact =   0
% 0.72/1.21  
% 0.72/1.21  litselect =         negative
% 0.72/1.21  
% 0.72/1.21  maxweight =         30000
% 0.72/1.21  maxdepth =          30000
% 0.72/1.21  maxlength =         115
% 0.72/1.21  maxnrvars =         195
% 0.72/1.21  excuselevel =       0
% 0.72/1.21  increasemaxweight = 0
% 0.72/1.21  
% 0.72/1.21  maxselected =       10000000
% 0.72/1.21  maxnrclauses =      10000000
% 0.72/1.21  
% 0.72/1.21  showgenerated =    0
% 0.72/1.21  showkept =         0
% 0.72/1.21  showselected =     0
% 0.72/1.21  showdeleted =      0
% 0.72/1.21  showresimp =       1
% 0.72/1.21  showstatus =       2000
% 0.72/1.21  
% 0.72/1.21  prologoutput =     1
% 0.72/1.21  nrgoals =          5000000
% 0.72/1.21  totalproof =       1
% 0.72/1.21  
% 0.72/1.21  Symbols occurring in the translation:
% 0.72/1.21  
% 0.72/1.21  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.72/1.21  .  [1, 2]      (w:1, o:70, a:1, s:1, b:0), 
% 0.72/1.21  !  [4, 1]      (w:1, o:59, a:1, s:1, b:0), 
% 0.72/1.21  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.72/1.21  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.72/1.21  p12  [40, 2]      (w:1, o:95, a:1, s:1, b:0), 
% 0.72/1.21  p5  [42, 2]      (w:1, o:96, a:1, s:1, b:0), 
% 0.72/1.21  p3  [44, 2]      (w:1, o:99, a:1, s:1, b:0), 
% 0.72/1.21  p2  [46, 2]      (w:1, o:98, a:1, s:1, b:0), 
% 0.72/1.21  c21  [47, 0]      (w:1, o:39, a:1, s:1, b:0), 
% 0.72/1.21  c19  [48, 0]      (w:1, o:36, a:1, s:1, b:0), 
% 0.72/1.21  c20  [49, 0]      (w:1, o:38, a:1, s:1, b:0), 
% 0.72/1.21  f13  [50, 1]      (w:1, o:64, a:1, s:1, b:0), 
% 0.72/1.21  c18  [51, 0]      (w:1, o:35, a:1, s:1, b:0), 
% 0.72/1.21  f7  [55, 1]      (w:1, o:65, a:1, s:1, b:0), 
% 0.72/1.21  f10  [58, 1]      (w:1, o:66, a:1, s:1, b:0), 
% 0.72/1.21  f9  [61, 1]      (w:1, o:68, a:1, s:1, b:0), 
% 0.72/1.21  f8  [64, 1]      (w:1, o:67, a:1, s:1, b:0), 
% 0.72/1.21  f11  [67, 1]      (w:1, o:69, a:1, s:1, b:0), 
% 0.72/1.21  p15  [79, 2]      (w:1, o:97, a:1, s:1, b:0), 
% 0.72/1.21  c16  [82, 0]      (w:1, o:37, a:1, s:1, b:0), 
% 0.72/1.21  c17  [83, 0]      (w:1, o:34, a:1, s:1, b:0), 
% 0.72/1.21  f6  [84, 2]      (w:1, o:100, a:1, s:1, b:0), 
% 0.72/1.21  f4  [85, 2]      (w:1, o:101, a:1, s:1, b:0), 
% 0.72/1.21  f14  [88, 2]      (w:1, o:102, a:1, s:1, b:0).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  Starting Search:
% 0.72/1.21  
% 0.72/1.21  Resimplifying inuse:
% 0.72/1.21  Done
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  Intermediate Status:
% 0.72/1.21  Generated:    2342
% 0.72/1.21  Kept:         2027
% 0.72/1.21  Inuse:        316
% 0.72/1.21  Deleted:      0
% 0.72/1.21  Deletedinuse: 0
% 0.72/1.21  
% 0.72/1.21  Resimplifying inuse:
% 0.72/1.21  Done
% 0.72/1.21  
% 0.72/1.21  Resimplifying inuse:
% 0.72/1.21  Done
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  Intermediate Status:
% 0.72/1.21  Generated:    4472
% 0.72/1.21  Kept:         4029
% 0.72/1.21  Inuse:        457
% 0.72/1.21  Deleted:      0
% 0.72/1.21  Deletedinuse: 0
% 0.72/1.21  
% 0.72/1.21  Resimplifying inuse:
% 0.72/1.21  Done
% 0.72/1.21  
% 0.72/1.21  Resimplifying inuse:
% 0.72/1.21  Done
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  Intermediate Status:
% 0.72/1.21  Generated:    6607
% 0.72/1.21  Kept:         6039
% 0.72/1.21  Inuse:        586
% 0.72/1.21  Deleted:      0
% 0.72/1.21  Deletedinuse: 0
% 0.72/1.21  
% 0.72/1.21  Resimplifying inuse:
% 0.72/1.21  Done
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  Bliksems!, er is een bewijs:
% 0.72/1.21  % SZS status Unsatisfiable
% 0.72/1.21  % SZS output start Refutation
% 0.72/1.21  
% 0.72/1.21  clause( 2, [ p3( X, X ) ] )
% 0.72/1.21  .
% 0.72/1.21  clause( 3, [ p2( X, X ) ] )
% 0.72/1.21  .
% 0.72/1.21  clause( 4, [ p3( c21, c19 ) ] )
% 0.72/1.21  .
% 0.72/1.21  clause( 11, [ p3( f11( X ), f11( Y ) ), ~( p3( X, Y ) ) ] )
% 0.72/1.21  .
% 0.72/1.21  clause( 14, [ ~( p3( Z, X ) ), p3( X, Y ), ~( p3( Z, Y ) ) ] )
% 0.72/1.21  .
% 0.72/1.21  clause( 15, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.72/1.21  .
% 0.72/1.21  clause( 16, [ p15( X, Y ), ~( p15( Z, T ) ), ~( p2( Z, X ) ), ~( p2( T, Y )
% 0.72/1.21     ) ] )
% 0.72/1.21  .
% 0.72/1.21  clause( 19, [ p2( f4( X, Y ), f4( Z, T ) ), ~( p2( X, Z ) ), ~( p3( Y, T )
% 0.72/1.21     ) ] )
% 0.72/1.21  .
% 0.72/1.21  clause( 21, [ p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18 ) ), 
% 0.72/1.21    f11( c21 ) ), c20 ) ] )
% 0.72/1.21  .
% 0.72/1.21  clause( 22, [ ~( p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18 )
% 0.72/1.21     ), f11( c19 ) ), c20 ) ) ] )
% 0.72/1.21  .
% 0.72/1.21  clause( 27, [ p3( f11( c21 ), f11( c19 ) ) ] )
% 0.72/1.21  .
% 0.72/1.21  clause( 109, [ p3( Y, X ), ~( p3( X, Y ) ) ] )
% 0.72/1.21  .
% 0.72/1.21  clause( 120, [ p3( f11( c19 ), f11( c21 ) ) ] )
% 0.72/1.21  .
% 0.72/1.21  clause( 125, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.72/1.21  .
% 0.72/1.21  clause( 128, [ p15( X, Y ), ~( p15( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.72/1.21  .
% 0.72/1.21  clause( 204, [ p2( f4( X, f11( c19 ) ), f4( Y, f11( c21 ) ) ), ~( p2( X, Y
% 0.72/1.21     ) ) ] )
% 0.72/1.21  .
% 0.72/1.21  clause( 1930, [ p2( f4( X, f11( c19 ) ), f4( X, f11( c21 ) ) ) ] )
% 0.72/1.21  .
% 0.72/1.21  clause( 1960, [ p2( f4( X, f11( c21 ) ), f4( X, f11( c19 ) ) ) ] )
% 0.72/1.21  .
% 0.72/1.21  clause( 1989, [ p15( f4( X, f11( c19 ) ), Y ), ~( p15( f4( X, f11( c21 ) )
% 0.72/1.21    , Y ) ) ] )
% 0.72/1.21  .
% 0.72/1.21  clause( 6185, [] )
% 0.72/1.21  .
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  % SZS output end Refutation
% 0.72/1.21  found a proof!
% 0.72/1.21  
% 0.72/1.21  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.21  
% 0.72/1.21  initialclauses(
% 0.72/1.21  [ clause( 6187, [ p12( X, X ) ] )
% 0.72/1.21  , clause( 6188, [ p5( X, X ) ] )
% 0.72/1.21  , clause( 6189, [ p3( X, X ) ] )
% 0.72/1.21  , clause( 6190, [ p2( X, X ) ] )
% 0.72/1.21  , clause( 6191, [ p3( c21, c19 ) ] )
% 0.72/1.21  , clause( 6192, [ ~( p12( f13( c20 ), f13( c18 ) ) ) ] )
% 0.72/1.21  , clause( 6193, [ p12( f13( X ), f13( Y ) ), ~( p2( X, Y ) ) ] )
% 0.72/1.21  , clause( 6194, [ p5( f7( X ), f7( Y ) ), ~( p3( X, Y ) ) ] )
% 0.72/1.21  , clause( 6195, [ p5( f10( X ), f10( Y ) ), ~( p5( X, Y ) ) ] )
% 0.72/1.21  , clause( 6196, [ p3( f9( X ), f9( Y ) ), ~( p3( X, Y ) ) ] )
% 0.72/1.21  , clause( 6197, [ p3( f8( X ), f8( Y ) ), ~( p3( X, Y ) ) ] )
% 0.72/1.21  , clause( 6198, [ p3( f11( X ), f11( Y ) ), ~( p3( X, Y ) ) ] )
% 0.72/1.21  , clause( 6199, [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ] )
% 0.72/1.21  , clause( 6200, [ p5( X, Y ), ~( p5( Z, X ) ), ~( p5( Z, Y ) ) ] )
% 0.72/1.21  , clause( 6201, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 0.72/1.21  , clause( 6202, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.72/1.21  , clause( 6203, [ p15( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p15( Z
% 0.72/1.21    , T ) ) ] )
% 0.72/1.21  , clause( 6204, [ p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18 )
% 0.72/1.21     ), c19 ), c20 ) ] )
% 0.72/1.21  , clause( 6205, [ p3( f14( X, Y ), f14( Z, T ) ), ~( p2( X, Z ) ), ~( p5( Y
% 0.72/1.21    , T ) ) ] )
% 0.72/1.21  , clause( 6206, [ p2( f4( X, Y ), f4( Z, T ) ), ~( p2( X, Z ) ), ~( p3( Y, 
% 0.72/1.21    T ) ) ] )
% 0.72/1.21  , clause( 6207, [ p2( f6( X, Y ), f6( Z, T ) ), ~( p2( Y, T ) ), ~( p5( X, 
% 0.72/1.21    Z ) ) ] )
% 0.72/1.21  , clause( 6208, [ p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18 )
% 0.72/1.21     ), f11( c21 ) ), c20 ) ] )
% 0.72/1.21  , clause( 6209, [ ~( p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), 
% 0.72/1.21    c18 ) ), f11( c19 ) ), c20 ) ) ] )
% 0.72/1.21  , clause( 6210, [ p12( f13( X ), f13( c18 ) ), p15( f4( f6( f10( Y ), f6( 
% 0.72/1.21    f7( f8( f9( c17 ) ) ), c18 ) ), f14( X, Y ) ), X ) ] )
% 0.72/1.21  , clause( 6211, [ p12( f13( X ), f13( c18 ) ), ~( p15( f4( f6( f10( Y ), f6( 
% 0.72/1.21    f7( f8( f9( c17 ) ) ), c18 ) ), f11( f14( X, Y ) ) ), X ) ) ] )
% 0.72/1.21  , clause( 6212, [ p3( X, Y ), p12( f13( Z ), f13( c18 ) ), p15( f4( f6( f10( 
% 0.72/1.21    T ), f6( f7( f8( f9( c17 ) ) ), c18 ) ), f11( Y ) ), Z ), p15( f4( f6( 
% 0.72/1.21    f10( T ), f6( f7( f8( f9( c17 ) ) ), c18 ) ), f11( X ) ), Z ), ~( p15( f4( 
% 0.72/1.21    f6( f10( T ), f6( f7( f8( f9( c17 ) ) ), c18 ) ), X ), Z ) ), ~( p15( f4( 
% 0.72/1.21    f6( f10( T ), f6( f7( f8( f9( c17 ) ) ), c18 ) ), Y ), Z ) ) ] )
% 0.72/1.21  ] ).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  subsumption(
% 0.72/1.21  clause( 2, [ p3( X, X ) ] )
% 0.72/1.21  , clause( 6189, [ p3( X, X ) ] )
% 0.72/1.21  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  subsumption(
% 0.72/1.21  clause( 3, [ p2( X, X ) ] )
% 0.72/1.21  , clause( 6190, [ p2( X, X ) ] )
% 0.72/1.21  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  subsumption(
% 0.72/1.21  clause( 4, [ p3( c21, c19 ) ] )
% 0.72/1.21  , clause( 6191, [ p3( c21, c19 ) ] )
% 0.72/1.21  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  subsumption(
% 0.72/1.21  clause( 11, [ p3( f11( X ), f11( Y ) ), ~( p3( X, Y ) ) ] )
% 0.72/1.21  , clause( 6198, [ p3( f11( X ), f11( Y ) ), ~( p3( X, Y ) ) ] )
% 0.72/1.21  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.21     ), ==>( 1, 1 )] ) ).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  subsumption(
% 0.72/1.21  clause( 14, [ ~( p3( Z, X ) ), p3( X, Y ), ~( p3( Z, Y ) ) ] )
% 0.72/1.21  , clause( 6201, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 0.72/1.21  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.72/1.21    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  subsumption(
% 0.72/1.21  clause( 15, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.72/1.21  , clause( 6202, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.72/1.21  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.72/1.21    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  subsumption(
% 0.72/1.21  clause( 16, [ p15( X, Y ), ~( p15( Z, T ) ), ~( p2( Z, X ) ), ~( p2( T, Y )
% 0.72/1.21     ) ] )
% 0.72/1.21  , clause( 6203, [ p15( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p15( Z
% 0.72/1.21    , T ) ) ] )
% 0.72/1.21  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.72/1.21    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 3 ), ==>( 3, 1 )] )
% 0.72/1.21     ).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  subsumption(
% 0.72/1.21  clause( 19, [ p2( f4( X, Y ), f4( Z, T ) ), ~( p2( X, Z ) ), ~( p3( Y, T )
% 0.72/1.21     ) ] )
% 0.72/1.21  , clause( 6206, [ p2( f4( X, Y ), f4( Z, T ) ), ~( p2( X, Z ) ), ~( p3( Y, 
% 0.72/1.21    T ) ) ] )
% 0.72/1.21  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.72/1.21    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  subsumption(
% 0.72/1.21  clause( 21, [ p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18 ) ), 
% 0.72/1.21    f11( c21 ) ), c20 ) ] )
% 0.72/1.21  , clause( 6208, [ p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18 )
% 0.72/1.21     ), f11( c21 ) ), c20 ) ] )
% 0.72/1.21  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  subsumption(
% 0.72/1.21  clause( 22, [ ~( p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18 )
% 0.72/1.21     ), f11( c19 ) ), c20 ) ) ] )
% 0.72/1.21  , clause( 6209, [ ~( p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), 
% 0.72/1.21    c18 ) ), f11( c19 ) ), c20 ) ) ] )
% 0.72/1.21  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  resolution(
% 0.72/1.21  clause( 6240, [ p3( f11( c21 ), f11( c19 ) ) ] )
% 0.72/1.21  , clause( 11, [ p3( f11( X ), f11( Y ) ), ~( p3( X, Y ) ) ] )
% 0.72/1.21  , 1, clause( 4, [ p3( c21, c19 ) ] )
% 0.72/1.21  , 0, substitution( 0, [ :=( X, c21 ), :=( Y, c19 )] ), substitution( 1, [] )
% 0.72/1.21    ).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  subsumption(
% 0.72/1.21  clause( 27, [ p3( f11( c21 ), f11( c19 ) ) ] )
% 0.72/1.21  , clause( 6240, [ p3( f11( c21 ), f11( c19 ) ) ] )
% 0.72/1.21  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  resolution(
% 0.72/1.21  clause( 6242, [ ~( p3( X, Y ) ), p3( Y, X ) ] )
% 0.72/1.21  , clause( 14, [ ~( p3( Z, X ) ), p3( X, Y ), ~( p3( Z, Y ) ) ] )
% 0.72/1.21  , 2, clause( 2, [ p3( X, X ) ] )
% 0.72/1.21  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ), 
% 0.72/1.21    substitution( 1, [ :=( X, X )] )).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  subsumption(
% 0.72/1.21  clause( 109, [ p3( Y, X ), ~( p3( X, Y ) ) ] )
% 0.72/1.21  , clause( 6242, [ ~( p3( X, Y ) ), p3( Y, X ) ] )
% 0.72/1.21  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.72/1.21     ), ==>( 1, 0 )] ) ).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  resolution(
% 0.72/1.21  clause( 6243, [ p3( f11( c19 ), f11( c21 ) ) ] )
% 0.72/1.21  , clause( 109, [ p3( Y, X ), ~( p3( X, Y ) ) ] )
% 0.72/1.21  , 1, clause( 27, [ p3( f11( c21 ), f11( c19 ) ) ] )
% 0.72/1.21  , 0, substitution( 0, [ :=( X, f11( c21 ) ), :=( Y, f11( c19 ) )] ), 
% 0.72/1.21    substitution( 1, [] )).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  subsumption(
% 0.72/1.21  clause( 120, [ p3( f11( c19 ), f11( c21 ) ) ] )
% 0.72/1.21  , clause( 6243, [ p3( f11( c19 ), f11( c21 ) ) ] )
% 0.72/1.21  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  resolution(
% 0.72/1.21  clause( 6245, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.72/1.21  , clause( 15, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.72/1.21  , 2, clause( 3, [ p2( X, X ) ] )
% 0.72/1.21  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ), 
% 0.72/1.21    substitution( 1, [ :=( X, X )] )).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  subsumption(
% 0.72/1.21  clause( 125, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.72/1.21  , clause( 6245, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.72/1.21  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.72/1.21     ), ==>( 1, 0 )] ) ).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  resolution(
% 0.72/1.21  clause( 6247, [ p15( X, Y ), ~( p15( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.72/1.21  , clause( 16, [ p15( X, Y ), ~( p15( Z, T ) ), ~( p2( Z, X ) ), ~( p2( T, Y
% 0.72/1.21     ) ) ] )
% 0.72/1.21  , 3, clause( 3, [ p2( X, X ) ] )
% 0.72/1.21  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y )] ), 
% 0.72/1.21    substitution( 1, [ :=( X, Y )] )).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  subsumption(
% 0.72/1.21  clause( 128, [ p15( X, Y ), ~( p15( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.72/1.21  , clause( 6247, [ p15( X, Y ), ~( p15( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.72/1.21  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.72/1.21    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  resolution(
% 0.72/1.21  clause( 6248, [ p2( f4( X, f11( c19 ) ), f4( Y, f11( c21 ) ) ), ~( p2( X, Y
% 0.72/1.21     ) ) ] )
% 0.72/1.21  , clause( 19, [ p2( f4( X, Y ), f4( Z, T ) ), ~( p2( X, Z ) ), ~( p3( Y, T
% 0.72/1.21     ) ) ] )
% 0.72/1.21  , 2, clause( 120, [ p3( f11( c19 ), f11( c21 ) ) ] )
% 0.72/1.21  , 0, substitution( 0, [ :=( X, X ), :=( Y, f11( c19 ) ), :=( Z, Y ), :=( T
% 0.72/1.21    , f11( c21 ) )] ), substitution( 1, [] )).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  subsumption(
% 0.72/1.21  clause( 204, [ p2( f4( X, f11( c19 ) ), f4( Y, f11( c21 ) ) ), ~( p2( X, Y
% 0.72/1.21     ) ) ] )
% 0.72/1.21  , clause( 6248, [ p2( f4( X, f11( c19 ) ), f4( Y, f11( c21 ) ) ), ~( p2( X
% 0.72/1.21    , Y ) ) ] )
% 0.72/1.21  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.21     ), ==>( 1, 1 )] ) ).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  resolution(
% 0.72/1.21  clause( 6249, [ p2( f4( X, f11( c19 ) ), f4( X, f11( c21 ) ) ) ] )
% 0.72/1.21  , clause( 204, [ p2( f4( X, f11( c19 ) ), f4( Y, f11( c21 ) ) ), ~( p2( X, 
% 0.72/1.21    Y ) ) ] )
% 0.72/1.21  , 1, clause( 3, [ p2( X, X ) ] )
% 0.72/1.21  , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.72/1.21    , X )] )).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  subsumption(
% 0.72/1.21  clause( 1930, [ p2( f4( X, f11( c19 ) ), f4( X, f11( c21 ) ) ) ] )
% 0.72/1.21  , clause( 6249, [ p2( f4( X, f11( c19 ) ), f4( X, f11( c21 ) ) ) ] )
% 0.72/1.21  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  resolution(
% 0.72/1.21  clause( 6250, [ p2( f4( X, f11( c21 ) ), f4( X, f11( c19 ) ) ) ] )
% 0.72/1.21  , clause( 125, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.72/1.21  , 1, clause( 1930, [ p2( f4( X, f11( c19 ) ), f4( X, f11( c21 ) ) ) ] )
% 0.72/1.21  , 0, substitution( 0, [ :=( X, f4( X, f11( c19 ) ) ), :=( Y, f4( X, f11( 
% 0.72/1.21    c21 ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  subsumption(
% 0.72/1.21  clause( 1960, [ p2( f4( X, f11( c21 ) ), f4( X, f11( c19 ) ) ) ] )
% 0.72/1.21  , clause( 6250, [ p2( f4( X, f11( c21 ) ), f4( X, f11( c19 ) ) ) ] )
% 0.72/1.21  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  resolution(
% 0.72/1.21  clause( 6251, [ p15( f4( X, f11( c19 ) ), Y ), ~( p15( f4( X, f11( c21 ) )
% 0.72/1.21    , Y ) ) ] )
% 0.72/1.21  , clause( 128, [ p15( X, Y ), ~( p15( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.72/1.21  , 2, clause( 1960, [ p2( f4( X, f11( c21 ) ), f4( X, f11( c19 ) ) ) ] )
% 0.72/1.21  , 0, substitution( 0, [ :=( X, f4( X, f11( c19 ) ) ), :=( Y, Y ), :=( Z, f4( 
% 0.72/1.21    X, f11( c21 ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  subsumption(
% 0.72/1.21  clause( 1989, [ p15( f4( X, f11( c19 ) ), Y ), ~( p15( f4( X, f11( c21 ) )
% 0.72/1.21    , Y ) ) ] )
% 0.72/1.21  , clause( 6251, [ p15( f4( X, f11( c19 ) ), Y ), ~( p15( f4( X, f11( c21 )
% 0.72/1.21     ), Y ) ) ] )
% 0.72/1.21  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.21     ), ==>( 1, 1 )] ) ).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  resolution(
% 0.72/1.21  clause( 6252, [ p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18 ) )
% 0.72/1.21    , f11( c19 ) ), c20 ) ] )
% 0.72/1.21  , clause( 1989, [ p15( f4( X, f11( c19 ) ), Y ), ~( p15( f4( X, f11( c21 )
% 0.72/1.21     ), Y ) ) ] )
% 0.72/1.21  , 1, clause( 21, [ p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18
% 0.72/1.21     ) ), f11( c21 ) ), c20 ) ] )
% 0.72/1.21  , 0, substitution( 0, [ :=( X, f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), 
% 0.72/1.21    c18 ) ) ), :=( Y, c20 )] ), substitution( 1, [] )).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  resolution(
% 0.72/1.21  clause( 6253, [] )
% 0.72/1.21  , clause( 22, [ ~( p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18
% 0.72/1.21     ) ), f11( c19 ) ), c20 ) ) ] )
% 0.72/1.21  , 0, clause( 6252, [ p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), 
% 0.72/1.21    c18 ) ), f11( c19 ) ), c20 ) ] )
% 0.72/1.21  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  subsumption(
% 0.72/1.21  clause( 6185, [] )
% 0.72/1.21  , clause( 6253, [] )
% 0.72/1.21  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  end.
% 0.72/1.21  
% 0.72/1.21  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.21  
% 0.72/1.21  Memory use:
% 0.72/1.21  
% 0.72/1.21  space for terms:        106398
% 0.72/1.21  space for clauses:      666212
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  clauses generated:      6798
% 0.72/1.21  clauses kept:           6186
% 0.72/1.21  clauses selected:       607
% 0.72/1.21  clauses deleted:        0
% 0.72/1.21  clauses inuse deleted:  0
% 0.72/1.21  
% 0.72/1.21  subsentry:          4048
% 0.72/1.21  literals s-matched: 2396
% 0.72/1.21  literals matched:   2396
% 0.72/1.21  full subsumption:   54
% 0.72/1.21  
% 0.72/1.21  checksum:           629568150
% 0.72/1.21  
% 0.72/1.21  
% 0.72/1.21  Bliksem ended
%------------------------------------------------------------------------------