TSTP Solution File: SYN621-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN621-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n023.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 02:53:27 EDT 2022

% Result   : Unsatisfiable 0.41s 1.06s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SYN621-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n023.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 Jul 12 03:30:24 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.41/1.06  *** allocated 10000 integers for termspace/termends
% 0.41/1.06  *** allocated 10000 integers for clauses
% 0.41/1.06  *** allocated 10000 integers for justifications
% 0.41/1.06  Bliksem 1.12
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  Automatic Strategy Selection
% 0.41/1.06  
% 0.41/1.06  Clauses:
% 0.41/1.06  [
% 0.41/1.06     [ p10( X, X ) ],
% 0.41/1.06     [ p8( X, X ) ],
% 0.41/1.06     [ p7( X, X ) ],
% 0.41/1.06     [ p4( X, X ) ],
% 0.41/1.06     [ p2( X, X ) ],
% 0.41/1.06     [ p13( X, X ) ],
% 0.41/1.06     [ ~( p2( c23, f3( c24 ) ) ) ],
% 0.41/1.06     [ p13( f14( X ), f14( Y ) ), ~( p7( X, Y ) ) ],
% 0.41/1.06     [ p4( f5( X ), f5( Y ) ), ~( p4( X, Y ) ) ],
% 0.41/1.06     [ p4( f16( X ), f16( Y ) ), ~( p2( X, Y ) ) ],
% 0.41/1.06     [ p2( f3( X ), f3( Y ) ), ~( p2( X, Y ) ) ],
% 0.41/1.06     [ p2( f18( X ), f18( Y ) ), ~( p2( X, Y ) ) ],
% 0.41/1.06     [ p2( f17( X ), f17( Y ) ), ~( p2( X, Y ) ) ],
% 0.41/1.06     [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ],
% 0.41/1.06     [ p8( X, Y ), ~( p8( Z, X ) ), ~( p8( Z, Y ) ) ],
% 0.41/1.06     [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ],
% 0.41/1.06     [ p4( X, Y ), ~( p4( Z, X ) ), ~( p4( Z, Y ) ) ],
% 0.41/1.06     [ p21( X, Y ), ~( p21( X, Z ) ), ~( p21( Z, Y ) ) ],
% 0.41/1.06     [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.41/1.06     [ p13( X, Y ), ~( p13( Z, X ) ), ~( p13( Z, Y ) ) ],
% 0.41/1.06     [ p21( X, Y ), ~( p4( Z, X ) ), ~( p4( T, Y ) ), ~( p21( Z, T ) ) ],
% 0.41/1.06     [ p22( X, Y ), ~( p22( Z, T ) ), ~( p4( Z, X ) ), ~( p13( T, Y ) ) ]
% 0.41/1.06    ,
% 0.41/1.06     [ p7( f11( X, Y ), f11( Z, T ) ), ~( p10( Y, T ) ), ~( p2( X, Z ) ) ]
% 0.41/1.06    ,
% 0.41/1.06     [ p10( f12( X, Y ), f12( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.41/1.06    ,
% 0.41/1.06     [ p4( f15( X, Y ), f15( Z, T ) ), ~( p4( X, Z ) ), ~( p4( Y, T ) ) ]
% 0.41/1.06    ,
% 0.41/1.06     [ p4( f19( X, Y ), f19( Z, T ) ), ~( p4( Y, T ) ), ~( p7( X, Z ) ) ]
% 0.41/1.06    ,
% 0.41/1.06     [ p4( f6( X, Y ), f6( Z, T ) ), ~( p4( X, Z ) ), ~( p4( Y, T ) ) ],
% 0.41/1.06     [ p2( X, f3( c24 ) ), p22( f20( Y, X, Z, T ), f14( f11( Y, f12( X, Z ) )
% 0.41/1.06     ) ) ],
% 0.41/1.06     [ p4( f9( X, Y, Z ), f9( T, U, W ) ), ~( p7( X, T ) ), ~( p8( Y, U ) ), 
% 0.41/1.06    ~( p4( Z, W ) ) ],
% 0.41/1.06     [ p4( f20( X, Y, Z, T ), f20( U, W, V0, V1 ) ), ~( p2( Z, V0 ) ), ~( p4( 
% 0.41/1.06    T, V1 ) ), ~( p2( X, U ) ), ~( p2( Y, W ) ) ],
% 0.41/1.06     [ p21( f5( f6( c27, f9( f11( c25, f12( c23, c26 ) ), c28, c27 ) ) ), f5( 
% 0.41/1.06    f6( c27, X ) ) ), ~( p22( X, f14( f11( c25, f12( c23, c26 ) ) ) ) ) ]
% 0.41/1.06    ,
% 0.41/1.06     [ ~( p21( f5( f6( c27, f9( f11( c25, f12( c23, c26 ) ), c28, c27 ) ) ), 
% 0.41/1.06    f15( f19( f11( c25, f12( c23, c26 ) ), c27 ), f16( f3( f17( f18( c24 ) )
% 0.41/1.06     ) ) ) ) ) ],
% 0.41/1.06     [ p2( X, f3( c24 ) ), p21( f5( f6( Y, f20( Z, X, T, Y ) ) ), f5( f6( Y, 
% 0.41/1.06    U ) ) ), ~( p22( U, f14( f11( Z, f12( X, T ) ) ) ) ) ],
% 0.41/1.06     [ p2( X, f3( c24 ) ), p21( f5( f6( Y, f20( Z, X, T, Y ) ) ), f15( f19( 
% 0.41/1.06    f11( Z, f12( X, T ) ), Y ), f16( f3( f17( f18( c24 ) ) ) ) ) ) ]
% 0.41/1.06  ] .
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  percentage equality = 0.000000, percentage horn = 0.911765
% 0.41/1.06  This is a near-Horn, non-equality  problem
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  Options Used:
% 0.41/1.06  
% 0.41/1.06  useres =            1
% 0.41/1.06  useparamod =        0
% 0.41/1.06  useeqrefl =         0
% 0.41/1.06  useeqfact =         0
% 0.41/1.06  usefactor =         1
% 0.41/1.06  usesimpsplitting =  0
% 0.41/1.06  usesimpdemod =      0
% 0.41/1.06  usesimpres =        4
% 0.41/1.06  
% 0.41/1.06  resimpinuse      =  1000
% 0.41/1.06  resimpclauses =     20000
% 0.41/1.06  substype =          standard
% 0.41/1.06  backwardsubs =      1
% 0.41/1.06  selectoldest =      5
% 0.41/1.06  
% 0.41/1.06  litorderings [0] =  split
% 0.41/1.06  litorderings [1] =  liftord
% 0.41/1.06  
% 0.41/1.06  termordering =      none
% 0.41/1.06  
% 0.41/1.06  litapriori =        1
% 0.41/1.06  termapriori =       0
% 0.41/1.06  litaposteriori =    0
% 0.41/1.06  termaposteriori =   0
% 0.41/1.06  demodaposteriori =  0
% 0.41/1.06  ordereqreflfact =   0
% 0.41/1.06  
% 0.41/1.06  litselect =         negative
% 0.41/1.06  
% 0.41/1.06  maxweight =         30000
% 0.41/1.06  maxdepth =          30000
% 0.41/1.06  maxlength =         115
% 0.41/1.06  maxnrvars =         195
% 0.41/1.06  excuselevel =       0
% 0.41/1.06  increasemaxweight = 0
% 0.41/1.06  
% 0.41/1.06  maxselected =       10000000
% 0.41/1.06  maxnrclauses =      10000000
% 0.41/1.06  
% 0.41/1.06  showgenerated =    0
% 0.41/1.06  showkept =         0
% 0.41/1.06  showselected =     0
% 0.41/1.06  showdeleted =      0
% 0.41/1.06  showresimp =       1
% 0.41/1.06  showstatus =       2000
% 0.41/1.06  
% 0.41/1.06  prologoutput =     1
% 0.41/1.06  nrgoals =          5000000
% 0.41/1.06  totalproof =       1
% 0.41/1.06  
% 0.41/1.06  Symbols occurring in the translation:
% 0.41/1.06  
% 0.41/1.06  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.41/1.06  .  [1, 2]      (w:1, o:107, a:1, s:1, b:0), 
% 0.41/1.06  !  [4, 1]      (w:1, o:96, a:1, s:1, b:0), 
% 0.41/1.06  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.41/1.06  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.41/1.06  p10  [40, 2]      (w:1, o:132, a:1, s:1, b:0), 
% 0.41/1.06  p8  [42, 2]      (w:1, o:134, a:1, s:1, b:0), 
% 0.41/1.06  p7  [44, 2]      (w:1, o:133, a:1, s:1, b:0), 
% 0.41/1.06  p4  [46, 2]      (w:1, o:135, a:1, s:1, b:0), 
% 0.41/1.06  p2  [48, 2]      (w:1, o:137, a:1, s:1, b:0), 
% 0.41/1.06  p13  [50, 2]      (w:1, o:136, a:1, s:1, b:0), 
% 0.41/1.06  c23  [51, 0]      (w:1, o:68, a:1, s:1, b:0), 
% 0.41/1.06  c24  [52, 0]      (w:1, o:69, a:1, s:1, b:0), 
% 0.41/1.06  f3  [53, 1]      (w:1, o:101, a:1, s:1, b:0), 
% 0.41/1.06  f14  [55, 1]      (w:1, o:102, a:1, s:1, b:0), 
% 0.41/1.06  f5  [58, 1]      (w:1, o:103, a:1, s:1, b:0), 
% 0.41/1.06  f16  [61, 1]      (w:1, o:104, a:1, s:1, b:0), 
% 0.41/1.06  f18  [66, 1]      (w:1, o:106, a:1, s:1, b:0), 
% 0.41/1.06  f17  [69, 1]      (w:1, o:105, a:1, s:1, b:0), 
% 0.41/1.06  p21  [81, 2]      (w:1, o:138, a:1, s:1, b:0), 
% 0.41/1.06  p22  [93, 2]      (w:1, o:139, a:1, s:1, b:0), 
% 0.41/1.06  f11  [98, 2]      (w:1, o:140, a:1, s:1, b:0), 
% 0.41/1.06  f12  [103, 2]      (w:1, o:141, a:1, s:1, b:0), 
% 0.41/1.06  f15  [108, 2]      (w:1, o:142, a:1, s:1, b:0), 
% 0.41/1.06  f19  [113, 2]      (w:1, o:143, a:1, s:1, b:0), 
% 0.41/1.06  f6  [118, 2]      (w:1, o:144, a:1, s:1, b:0), 
% 0.41/1.06  f20  [125, 4]      (w:1, o:146, a:1, s:1, b:0), 
% 0.41/1.06  f9  [129, 3]      (w:1, o:145, a:1, s:1, b:0), 
% 0.41/1.06  c27  [141, 0]      (w:1, o:93, a:1, s:1, b:0), 
% 0.41/1.06  c25  [142, 0]      (w:1, o:94, a:1, s:1, b:0), 
% 0.41/1.06  c26  [143, 0]      (w:1, o:92, a:1, s:1, b:0), 
% 0.41/1.06  c28  [144, 0]      (w:1, o:95, a:1, s:1, b:0).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  Starting Search:
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  Bliksems!, er is een bewijs:
% 0.41/1.06  % SZS status Unsatisfiable
% 0.41/1.06  % SZS output start Refutation
% 0.41/1.06  
% 0.41/1.06  clause( 6, [ ~( p2( c23, f3( c24 ) ) ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 17, [ ~( p21( X, Z ) ), p21( X, Y ), ~( p21( Z, Y ) ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 27, [ p2( X, f3( c24 ) ), p22( f20( Y, X, Z, T ), f14( f11( Y, f12( 
% 0.41/1.06    X, Z ) ) ) ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 30, [ p21( f5( f6( c27, f9( f11( c25, f12( c23, c26 ) ), c28, c27 )
% 0.41/1.06     ) ), f5( f6( c27, X ) ) ), ~( p22( X, f14( f11( c25, f12( c23, c26 ) ) )
% 0.41/1.06     ) ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 31, [ ~( p21( f5( f6( c27, f9( f11( c25, f12( c23, c26 ) ), c28, 
% 0.41/1.06    c27 ) ) ), f15( f19( f11( c25, f12( c23, c26 ) ), c27 ), f16( f3( f17( 
% 0.41/1.06    f18( c24 ) ) ) ) ) ) ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 33, [ p2( X, f3( c24 ) ), p21( f5( f6( Y, f20( Z, X, T, Y ) ) ), 
% 0.41/1.06    f15( f19( f11( Z, f12( X, T ) ), Y ), f16( f3( f17( f18( c24 ) ) ) ) ) )
% 0.41/1.06     ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 64, [ p21( f5( f6( c27, f9( f11( c25, f12( c23, c26 ) ), c28, c27 )
% 0.41/1.06     ) ), f5( f6( c27, f20( c25, c23, c26, X ) ) ) ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 71, [ p2( X, f3( c24 ) ), p21( Y, f15( f19( f11( T, f12( X, U ) ), 
% 0.41/1.06    Z ), f16( f3( f17( f18( c24 ) ) ) ) ) ), ~( p21( Y, f5( f6( Z, f20( T, X
% 0.41/1.06    , U, Z ) ) ) ) ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 72, [ p21( f5( f6( c27, f9( f11( c25, f12( c23, c26 ) ), c28, c27 )
% 0.41/1.06     ) ), f15( f19( f11( c25, f12( c23, c26 ) ), c27 ), f16( f3( f17( f18( 
% 0.41/1.06    c24 ) ) ) ) ) ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 73, [] )
% 0.41/1.06  .
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  % SZS output end Refutation
% 0.41/1.06  found a proof!
% 0.41/1.06  
% 0.41/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.06  
% 0.41/1.06  initialclauses(
% 0.41/1.06  [ clause( 75, [ p10( X, X ) ] )
% 0.41/1.06  , clause( 76, [ p8( X, X ) ] )
% 0.41/1.06  , clause( 77, [ p7( X, X ) ] )
% 0.41/1.06  , clause( 78, [ p4( X, X ) ] )
% 0.41/1.06  , clause( 79, [ p2( X, X ) ] )
% 0.41/1.06  , clause( 80, [ p13( X, X ) ] )
% 0.41/1.06  , clause( 81, [ ~( p2( c23, f3( c24 ) ) ) ] )
% 0.41/1.06  , clause( 82, [ p13( f14( X ), f14( Y ) ), ~( p7( X, Y ) ) ] )
% 0.41/1.06  , clause( 83, [ p4( f5( X ), f5( Y ) ), ~( p4( X, Y ) ) ] )
% 0.41/1.06  , clause( 84, [ p4( f16( X ), f16( Y ) ), ~( p2( X, Y ) ) ] )
% 0.41/1.06  , clause( 85, [ p2( f3( X ), f3( Y ) ), ~( p2( X, Y ) ) ] )
% 0.41/1.06  , clause( 86, [ p2( f18( X ), f18( Y ) ), ~( p2( X, Y ) ) ] )
% 0.41/1.06  , clause( 87, [ p2( f17( X ), f17( Y ) ), ~( p2( X, Y ) ) ] )
% 0.41/1.06  , clause( 88, [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ] )
% 0.41/1.06  , clause( 89, [ p8( X, Y ), ~( p8( Z, X ) ), ~( p8( Z, Y ) ) ] )
% 0.41/1.06  , clause( 90, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 0.41/1.06  , clause( 91, [ p4( X, Y ), ~( p4( Z, X ) ), ~( p4( Z, Y ) ) ] )
% 0.41/1.06  , clause( 92, [ p21( X, Y ), ~( p21( X, Z ) ), ~( p21( Z, Y ) ) ] )
% 0.41/1.06  , clause( 93, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.41/1.06  , clause( 94, [ p13( X, Y ), ~( p13( Z, X ) ), ~( p13( Z, Y ) ) ] )
% 0.41/1.06  , clause( 95, [ p21( X, Y ), ~( p4( Z, X ) ), ~( p4( T, Y ) ), ~( p21( Z, T
% 0.41/1.06     ) ) ] )
% 0.41/1.06  , clause( 96, [ p22( X, Y ), ~( p22( Z, T ) ), ~( p4( Z, X ) ), ~( p13( T, 
% 0.41/1.06    Y ) ) ] )
% 0.41/1.06  , clause( 97, [ p7( f11( X, Y ), f11( Z, T ) ), ~( p10( Y, T ) ), ~( p2( X
% 0.41/1.06    , Z ) ) ] )
% 0.41/1.06  , clause( 98, [ p10( f12( X, Y ), f12( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y
% 0.41/1.06    , T ) ) ] )
% 0.41/1.06  , clause( 99, [ p4( f15( X, Y ), f15( Z, T ) ), ~( p4( X, Z ) ), ~( p4( Y, 
% 0.41/1.06    T ) ) ] )
% 0.41/1.06  , clause( 100, [ p4( f19( X, Y ), f19( Z, T ) ), ~( p4( Y, T ) ), ~( p7( X
% 0.41/1.06    , Z ) ) ] )
% 0.41/1.06  , clause( 101, [ p4( f6( X, Y ), f6( Z, T ) ), ~( p4( X, Z ) ), ~( p4( Y, T
% 0.41/1.06     ) ) ] )
% 0.41/1.06  , clause( 102, [ p2( X, f3( c24 ) ), p22( f20( Y, X, Z, T ), f14( f11( Y, 
% 0.41/1.06    f12( X, Z ) ) ) ) ] )
% 0.41/1.06  , clause( 103, [ p4( f9( X, Y, Z ), f9( T, U, W ) ), ~( p7( X, T ) ), ~( p8( 
% 0.41/1.06    Y, U ) ), ~( p4( Z, W ) ) ] )
% 0.41/1.06  , clause( 104, [ p4( f20( X, Y, Z, T ), f20( U, W, V0, V1 ) ), ~( p2( Z, V0
% 0.41/1.06     ) ), ~( p4( T, V1 ) ), ~( p2( X, U ) ), ~( p2( Y, W ) ) ] )
% 0.41/1.06  , clause( 105, [ p21( f5( f6( c27, f9( f11( c25, f12( c23, c26 ) ), c28, 
% 0.41/1.06    c27 ) ) ), f5( f6( c27, X ) ) ), ~( p22( X, f14( f11( c25, f12( c23, c26
% 0.41/1.06     ) ) ) ) ) ] )
% 0.41/1.06  , clause( 106, [ ~( p21( f5( f6( c27, f9( f11( c25, f12( c23, c26 ) ), c28
% 0.41/1.06    , c27 ) ) ), f15( f19( f11( c25, f12( c23, c26 ) ), c27 ), f16( f3( f17( 
% 0.41/1.06    f18( c24 ) ) ) ) ) ) ) ] )
% 0.41/1.06  , clause( 107, [ p2( X, f3( c24 ) ), p21( f5( f6( Y, f20( Z, X, T, Y ) ) )
% 0.41/1.06    , f5( f6( Y, U ) ) ), ~( p22( U, f14( f11( Z, f12( X, T ) ) ) ) ) ] )
% 0.41/1.06  , clause( 108, [ p2( X, f3( c24 ) ), p21( f5( f6( Y, f20( Z, X, T, Y ) ) )
% 0.41/1.06    , f15( f19( f11( Z, f12( X, T ) ), Y ), f16( f3( f17( f18( c24 ) ) ) ) )
% 0.41/1.06     ) ] )
% 0.41/1.06  ] ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 6, [ ~( p2( c23, f3( c24 ) ) ) ] )
% 0.41/1.06  , clause( 81, [ ~( p2( c23, f3( c24 ) ) ) ] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 17, [ ~( p21( X, Z ) ), p21( X, Y ), ~( p21( Z, Y ) ) ] )
% 0.41/1.06  , clause( 92, [ p21( X, Y ), ~( p21( X, Z ) ), ~( p21( Z, Y ) ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.41/1.06    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 27, [ p2( X, f3( c24 ) ), p22( f20( Y, X, Z, T ), f14( f11( Y, f12( 
% 0.41/1.06    X, Z ) ) ) ) ] )
% 0.41/1.06  , clause( 102, [ p2( X, f3( c24 ) ), p22( f20( Y, X, Z, T ), f14( f11( Y, 
% 0.41/1.06    f12( X, Z ) ) ) ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.41/1.06    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 30, [ p21( f5( f6( c27, f9( f11( c25, f12( c23, c26 ) ), c28, c27 )
% 0.41/1.06     ) ), f5( f6( c27, X ) ) ), ~( p22( X, f14( f11( c25, f12( c23, c26 ) ) )
% 0.41/1.06     ) ) ] )
% 0.41/1.06  , clause( 105, [ p21( f5( f6( c27, f9( f11( c25, f12( c23, c26 ) ), c28, 
% 0.41/1.06    c27 ) ) ), f5( f6( c27, X ) ) ), ~( p22( X, f14( f11( c25, f12( c23, c26
% 0.41/1.06     ) ) ) ) ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.41/1.06    1 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 31, [ ~( p21( f5( f6( c27, f9( f11( c25, f12( c23, c26 ) ), c28, 
% 0.41/1.06    c27 ) ) ), f15( f19( f11( c25, f12( c23, c26 ) ), c27 ), f16( f3( f17( 
% 0.41/1.06    f18( c24 ) ) ) ) ) ) ) ] )
% 0.41/1.06  , clause( 106, [ ~( p21( f5( f6( c27, f9( f11( c25, f12( c23, c26 ) ), c28
% 0.41/1.06    , c27 ) ) ), f15( f19( f11( c25, f12( c23, c26 ) ), c27 ), f16( f3( f17( 
% 0.41/1.06    f18( c24 ) ) ) ) ) ) ) ] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 33, [ p2( X, f3( c24 ) ), p21( f5( f6( Y, f20( Z, X, T, Y ) ) ), 
% 0.41/1.06    f15( f19( f11( Z, f12( X, T ) ), Y ), f16( f3( f17( f18( c24 ) ) ) ) ) )
% 0.41/1.06     ] )
% 0.41/1.06  , clause( 108, [ p2( X, f3( c24 ) ), p21( f5( f6( Y, f20( Z, X, T, Y ) ) )
% 0.41/1.06    , f15( f19( f11( Z, f12( X, T ) ), Y ), f16( f3( f17( f18( c24 ) ) ) ) )
% 0.41/1.06     ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.41/1.06    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 170, [ p21( f5( f6( c27, f9( f11( c25, f12( c23, c26 ) ), c28, c27
% 0.41/1.06     ) ) ), f5( f6( c27, f20( c25, c23, c26, X ) ) ) ), p2( c23, f3( c24 ) )
% 0.41/1.06     ] )
% 0.41/1.06  , clause( 30, [ p21( f5( f6( c27, f9( f11( c25, f12( c23, c26 ) ), c28, c27
% 0.41/1.06     ) ) ), f5( f6( c27, X ) ) ), ~( p22( X, f14( f11( c25, f12( c23, c26 ) )
% 0.41/1.06     ) ) ) ] )
% 0.41/1.06  , 1, clause( 27, [ p2( X, f3( c24 ) ), p22( f20( Y, X, Z, T ), f14( f11( Y
% 0.41/1.06    , f12( X, Z ) ) ) ) ] )
% 0.41/1.06  , 1, substitution( 0, [ :=( X, f20( c25, c23, c26, X ) )] ), substitution( 
% 0.41/1.06    1, [ :=( X, c23 ), :=( Y, c25 ), :=( Z, c26 ), :=( T, X )] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 171, [ p21( f5( f6( c27, f9( f11( c25, f12( c23, c26 ) ), c28, c27
% 0.41/1.06     ) ) ), f5( f6( c27, f20( c25, c23, c26, X ) ) ) ) ] )
% 0.41/1.06  , clause( 6, [ ~( p2( c23, f3( c24 ) ) ) ] )
% 0.41/1.06  , 0, clause( 170, [ p21( f5( f6( c27, f9( f11( c25, f12( c23, c26 ) ), c28
% 0.41/1.06    , c27 ) ) ), f5( f6( c27, f20( c25, c23, c26, X ) ) ) ), p2( c23, f3( c24
% 0.41/1.06     ) ) ] )
% 0.41/1.06  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 64, [ p21( f5( f6( c27, f9( f11( c25, f12( c23, c26 ) ), c28, c27 )
% 0.41/1.06     ) ), f5( f6( c27, f20( c25, c23, c26, X ) ) ) ) ] )
% 0.41/1.06  , clause( 171, [ p21( f5( f6( c27, f9( f11( c25, f12( c23, c26 ) ), c28, 
% 0.41/1.06    c27 ) ) ), f5( f6( c27, f20( c25, c23, c26, X ) ) ) ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 173, [ ~( p21( X, f5( f6( Y, f20( Z, T, U, Y ) ) ) ) ), p21( X, f15( 
% 0.41/1.06    f19( f11( Z, f12( T, U ) ), Y ), f16( f3( f17( f18( c24 ) ) ) ) ) ), p2( 
% 0.41/1.06    T, f3( c24 ) ) ] )
% 0.41/1.06  , clause( 17, [ ~( p21( X, Z ) ), p21( X, Y ), ~( p21( Z, Y ) ) ] )
% 0.41/1.06  , 2, clause( 33, [ p2( X, f3( c24 ) ), p21( f5( f6( Y, f20( Z, X, T, Y ) )
% 0.41/1.06     ), f15( f19( f11( Z, f12( X, T ) ), Y ), f16( f3( f17( f18( c24 ) ) ) )
% 0.41/1.06     ) ) ] )
% 0.41/1.06  , 1, substitution( 0, [ :=( X, X ), :=( Y, f15( f19( f11( Z, f12( T, U ) )
% 0.41/1.06    , Y ), f16( f3( f17( f18( c24 ) ) ) ) ) ), :=( Z, f5( f6( Y, f20( Z, T, U
% 0.41/1.06    , Y ) ) ) )] ), substitution( 1, [ :=( X, T ), :=( Y, Y ), :=( Z, Z ), 
% 0.41/1.06    :=( T, U )] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 71, [ p2( X, f3( c24 ) ), p21( Y, f15( f19( f11( T, f12( X, U ) ), 
% 0.41/1.06    Z ), f16( f3( f17( f18( c24 ) ) ) ) ) ), ~( p21( Y, f5( f6( Z, f20( T, X
% 0.41/1.06    , U, Z ) ) ) ) ) ] )
% 0.41/1.06  , clause( 173, [ ~( p21( X, f5( f6( Y, f20( Z, T, U, Y ) ) ) ) ), p21( X, 
% 0.41/1.06    f15( f19( f11( Z, f12( T, U ) ), Y ), f16( f3( f17( f18( c24 ) ) ) ) ) )
% 0.41/1.06    , p2( T, f3( c24 ) ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X ), :=( U
% 0.41/1.06    , U )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 1 ), ==>( 2, 0 )] )
% 0.41/1.06     ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 174, [ p2( c23, f3( c24 ) ), p21( f5( f6( c27, f9( f11( c25, f12( 
% 0.41/1.06    c23, c26 ) ), c28, c27 ) ) ), f15( f19( f11( c25, f12( c23, c26 ) ), c27
% 0.41/1.06     ), f16( f3( f17( f18( c24 ) ) ) ) ) ) ] )
% 0.41/1.06  , clause( 71, [ p2( X, f3( c24 ) ), p21( Y, f15( f19( f11( T, f12( X, U ) )
% 0.41/1.06    , Z ), f16( f3( f17( f18( c24 ) ) ) ) ) ), ~( p21( Y, f5( f6( Z, f20( T, 
% 0.41/1.06    X, U, Z ) ) ) ) ) ] )
% 0.41/1.06  , 2, clause( 64, [ p21( f5( f6( c27, f9( f11( c25, f12( c23, c26 ) ), c28, 
% 0.41/1.06    c27 ) ) ), f5( f6( c27, f20( c25, c23, c26, X ) ) ) ) ] )
% 0.41/1.06  , 0, substitution( 0, [ :=( X, c23 ), :=( Y, f5( f6( c27, f9( f11( c25, f12( 
% 0.41/1.06    c23, c26 ) ), c28, c27 ) ) ) ), :=( Z, c27 ), :=( T, c25 ), :=( U, c26 )] )
% 0.41/1.06    , substitution( 1, [ :=( X, c27 )] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 175, [ p21( f5( f6( c27, f9( f11( c25, f12( c23, c26 ) ), c28, c27
% 0.41/1.06     ) ) ), f15( f19( f11( c25, f12( c23, c26 ) ), c27 ), f16( f3( f17( f18( 
% 0.41/1.06    c24 ) ) ) ) ) ) ] )
% 0.41/1.06  , clause( 6, [ ~( p2( c23, f3( c24 ) ) ) ] )
% 0.41/1.06  , 0, clause( 174, [ p2( c23, f3( c24 ) ), p21( f5( f6( c27, f9( f11( c25, 
% 0.41/1.06    f12( c23, c26 ) ), c28, c27 ) ) ), f15( f19( f11( c25, f12( c23, c26 ) )
% 0.41/1.06    , c27 ), f16( f3( f17( f18( c24 ) ) ) ) ) ) ] )
% 0.41/1.06  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 72, [ p21( f5( f6( c27, f9( f11( c25, f12( c23, c26 ) ), c28, c27 )
% 0.41/1.06     ) ), f15( f19( f11( c25, f12( c23, c26 ) ), c27 ), f16( f3( f17( f18( 
% 0.41/1.06    c24 ) ) ) ) ) ) ] )
% 0.41/1.06  , clause( 175, [ p21( f5( f6( c27, f9( f11( c25, f12( c23, c26 ) ), c28, 
% 0.41/1.06    c27 ) ) ), f15( f19( f11( c25, f12( c23, c26 ) ), c27 ), f16( f3( f17( 
% 0.41/1.06    f18( c24 ) ) ) ) ) ) ] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 176, [] )
% 0.41/1.06  , clause( 31, [ ~( p21( f5( f6( c27, f9( f11( c25, f12( c23, c26 ) ), c28, 
% 0.41/1.06    c27 ) ) ), f15( f19( f11( c25, f12( c23, c26 ) ), c27 ), f16( f3( f17( 
% 0.41/1.06    f18( c24 ) ) ) ) ) ) ) ] )
% 0.41/1.06  , 0, clause( 72, [ p21( f5( f6( c27, f9( f11( c25, f12( c23, c26 ) ), c28, 
% 0.41/1.06    c27 ) ) ), f15( f19( f11( c25, f12( c23, c26 ) ), c27 ), f16( f3( f17( 
% 0.41/1.06    f18( c24 ) ) ) ) ) ) ] )
% 0.41/1.06  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 73, [] )
% 0.41/1.06  , clause( 176, [] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  end.
% 0.41/1.06  
% 0.41/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.06  
% 0.41/1.06  Memory use:
% 0.41/1.06  
% 0.41/1.06  space for terms:        2117
% 0.41/1.06  space for clauses:      5524
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  clauses generated:      122
% 0.41/1.06  clauses kept:           74
% 0.41/1.06  clauses selected:       72
% 0.41/1.06  clauses deleted:        1
% 0.41/1.06  clauses inuse deleted:  0
% 0.41/1.06  
% 0.41/1.06  subsentry:          234
% 0.41/1.06  literals s-matched: 117
% 0.41/1.06  literals matched:   108
% 0.41/1.06  full subsumption:   15
% 0.41/1.06  
% 0.41/1.06  checksum:           -651781513
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  Bliksem ended
%------------------------------------------------------------------------------