TSTP Solution File: SYN668-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN668-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n019.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 02:53:48 EDT 2022

% Result   : Unsatisfiable 0.74s 1.10s
% Output   : Refutation 0.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN668-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n019.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 01:49:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.74/1.10  *** allocated 10000 integers for termspace/termends
% 0.74/1.10  *** allocated 10000 integers for clauses
% 0.74/1.10  *** allocated 10000 integers for justifications
% 0.74/1.10  Bliksem 1.12
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  Automatic Strategy Selection
% 0.74/1.10  
% 0.74/1.10  Clauses:
% 0.74/1.10  [
% 0.74/1.10     [ p22( c28 ) ],
% 0.74/1.10     [ p10( X, X ) ],
% 0.74/1.10     [ p7( X, X ) ],
% 0.74/1.10     [ p6( X, X ) ],
% 0.74/1.10     [ p3( X, X ) ],
% 0.74/1.10     [ p20( X, X ) ],
% 0.74/1.10     [ p2( X, X ) ],
% 0.74/1.10     [ p19( X, X ) ],
% 0.74/1.10     [ p14( X, X ) ],
% 0.74/1.10     [ p12( X, X ) ],
% 0.74/1.10     [ p10( c37, c34 ) ],
% 0.74/1.10     [ p25( c33, c36 ) ],
% 0.74/1.10     [ p25( c32, c36 ) ],
% 0.74/1.10     [ p25( c32, c33 ) ],
% 0.74/1.10     [ p7( f8( c29 ), c30 ) ],
% 0.74/1.10     [ p26( f21( c28, c35 ), c34 ) ],
% 0.74/1.10     [ p23( c28, f4( f5( X ) ), f4( X ) ) ],
% 0.74/1.10     [ ~( p2( X, f18( X, f9( f17( c31 ) ) ) ) ) ],
% 0.74/1.10     [ p22( X ), ~( p22( Y ) ), ~( p19( Y, X ) ) ],
% 0.74/1.10     [ p2( f17( X ), f17( Y ) ), ~( p2( X, Y ) ) ],
% 0.74/1.10     [ p7( f8( X ), f8( Y ) ), ~( p6( X, Y ) ) ],
% 0.74/1.10     [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ],
% 0.74/1.10     [ p2( f9( X ), f9( Y ) ), ~( p2( X, Y ) ) ],
% 0.74/1.10     [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ],
% 0.74/1.10     [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ],
% 0.74/1.10     [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ],
% 0.74/1.10     [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ],
% 0.74/1.10     [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ],
% 0.74/1.10     [ p20( X, Y ), ~( p20( Z, X ) ), ~( p20( Z, Y ) ) ],
% 0.74/1.10     [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.74/1.10     [ p19( X, Y ), ~( p19( Z, X ) ), ~( p19( Z, Y ) ) ],
% 0.74/1.10     [ p14( X, Y ), ~( p14( Z, X ) ), ~( p14( Z, Y ) ) ],
% 0.74/1.10     [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ],
% 0.74/1.10     [ p27( X, Y ), ~( p2( Z, Y ) ), ~( p27( T, Z ) ), ~( p2( T, X ) ) ],
% 0.74/1.10     [ p24( X, Y ), ~( p14( Z, X ) ), ~( p24( Z, T ) ), ~( p12( T, Y ) ) ]
% 0.74/1.10    ,
% 0.74/1.10     [ p25( X, Y ), ~( p2( Z, Y ) ), ~( p25( T, Z ) ), ~( p2( T, X ) ) ],
% 0.74/1.10     [ p26( X, Y ), ~( p20( Z, X ) ), ~( p26( Z, T ) ), ~( p10( T, Y ) ) ]
% 0.74/1.10    ,
% 0.74/1.10     [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c33 ), c34 ), f9( f17( c31 )
% 0.74/1.10     ) ) ) ],
% 0.74/1.10     [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c36 ), c34 ), f9( f17( c31 )
% 0.74/1.10     ) ) ) ],
% 0.74/1.10     [ p27( f11( f4( c33 ), c35 ), f11( f4( f16( c33, f9( f17( c31 ) ) ) ), 
% 0.74/1.10    c35 ) ) ],
% 0.74/1.10     [ p25( f11( f4( c36 ), c37 ), f11( f4( f16( c36, f9( f17( c31 ) ) ) ), 
% 0.74/1.10    c37 ) ) ],
% 0.74/1.10     [ ~( p2( f11( f4( f16( c32, f9( f17( c31 ) ) ) ), c34 ), f11( f4( c32 )
% 0.74/1.10    , c34 ) ) ) ],
% 0.74/1.10     [ p20( f21( X, Y ), f21( Z, T ) ), ~( p10( Y, T ) ), ~( p19( X, Z ) ) ]
% 0.74/1.10    ,
% 0.74/1.10     [ p12( f13( X, Y ), f13( Z, T ) ), ~( p10( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.74/1.10    ,
% 0.74/1.10     [ p14( f15( X, Y ), f15( Z, T ) ), ~( p12( Y, T ) ), ~( p7( X, Z ) ) ]
% 0.74/1.10    ,
% 0.74/1.10     [ p2( f11( X, Y ), f11( Z, T ) ), ~( p10( Y, T ) ), ~( p3( X, Z ) ) ]
% 0.74/1.10    ,
% 0.74/1.10     [ p2( f16( X, Y ), f16( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.74/1.10    ,
% 0.74/1.10     [ p2( f18( X, Y ), f18( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.74/1.10    ,
% 0.74/1.10     [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( X, c33 ) ), 
% 0.74/1.10    ~( p25( c32, X ) ) ],
% 0.74/1.10     [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( X, c36 ) ), 
% 0.74/1.10    ~( p25( c32, X ) ) ],
% 0.74/1.10     [ p10( X, Y ), p26( f21( c28, X ), Y ), ~( p24( f15( c30, f13( X, Z ) )
% 0.74/1.10    , f13( Y, T ) ) ) ],
% 0.74/1.10     [ p23( X, Y, Z ), ~( p3( T, Z ) ), ~( p3( U, Y ) ), ~( p19( W, X ) ), 
% 0.74/1.10    ~( p23( W, U, T ) ) ],
% 0.74/1.10     [ p10( X, Y ), ~( p2( f11( f4( Z ), X ), f9( c31 ) ) ), ~( p24( f15( c30
% 0.74/1.10    , f13( X, Z ) ), f13( Y, T ) ) ) ],
% 0.74/1.10     [ p26( f21( c28, X ), Y ), p25( f11( f4( Z ), Y ), f11( f4( T ), Y ) ), 
% 0.74/1.10    ~( p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ]
% 0.74/1.10  ] .
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  percentage equality = 0.000000, percentage horn = 0.962963
% 0.74/1.10  This is a near-Horn, non-equality  problem
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  Options Used:
% 0.74/1.10  
% 0.74/1.10  useres =            1
% 0.74/1.10  useparamod =        0
% 0.74/1.10  useeqrefl =         0
% 0.74/1.10  useeqfact =         0
% 0.74/1.10  usefactor =         1
% 0.74/1.10  usesimpsplitting =  0
% 0.74/1.10  usesimpdemod =      0
% 0.74/1.10  usesimpres =        4
% 0.74/1.10  
% 0.74/1.10  resimpinuse      =  1000
% 0.74/1.10  resimpclauses =     20000
% 0.74/1.10  substype =          standard
% 0.74/1.10  backwardsubs =      1
% 0.74/1.10  selectoldest =      5
% 0.74/1.10  
% 0.74/1.10  litorderings [0] =  split
% 0.74/1.10  litorderings [1] =  liftord
% 0.74/1.10  
% 0.74/1.10  termordering =      none
% 0.74/1.10  
% 0.74/1.10  litapriori =        1
% 0.74/1.10  termapriori =       0
% 0.74/1.10  litaposteriori =    0
% 0.74/1.10  termaposteriori =   0
% 0.74/1.10  demodaposteriori =  0
% 0.74/1.10  ordereqreflfact =   0
% 0.74/1.10  
% 0.74/1.10  litselect =         negative
% 0.74/1.10  
% 0.74/1.10  maxweight =         30000
% 0.74/1.10  maxdepth =          30000
% 0.74/1.10  maxlength =         115
% 0.74/1.10  maxnrvars =         195
% 0.74/1.10  excuselevel =       0
% 0.74/1.10  increasemaxweight = 0
% 0.74/1.10  
% 0.74/1.10  maxselected =       10000000
% 0.74/1.10  maxnrclauses =      10000000
% 0.74/1.10  
% 0.74/1.10  showgenerated =    0
% 0.74/1.10  showkept =         0
% 0.74/1.10  showselected =     0
% 0.74/1.10  showdeleted =      0
% 0.74/1.10  showresimp =       1
% 0.74/1.10  showstatus =       2000
% 0.74/1.10  
% 0.74/1.10  prologoutput =     1
% 0.74/1.10  nrgoals =          5000000
% 0.74/1.10  totalproof =       1
% 0.74/1.10  
% 0.74/1.10  Symbols occurring in the translation:
% 0.74/1.10  
% 0.74/1.10  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.74/1.10  .  [1, 2]      (w:1, o:127, a:1, s:1, b:0), 
% 0.74/1.10  !  [4, 1]      (w:1, o:116, a:1, s:1, b:0), 
% 0.74/1.10  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.74/1.10  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.74/1.10  c28  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.74/1.10  p22  [40, 1]      (w:1, o:121, a:1, s:1, b:0), 
% 0.74/1.10  p10  [42, 2]      (w:1, o:152, a:1, s:1, b:0), 
% 0.74/1.10  p7  [44, 2]      (w:1, o:154, a:1, s:1, b:0), 
% 0.74/1.10  p6  [46, 2]      (w:1, o:153, a:1, s:1, b:0), 
% 0.74/1.10  p3  [48, 2]      (w:1, o:164, a:1, s:1, b:0), 
% 0.74/1.10  p20  [50, 2]      (w:1, o:158, a:1, s:1, b:0), 
% 0.74/1.10  p2  [52, 2]      (w:1, o:159, a:1, s:1, b:0), 
% 0.74/1.10  p19  [54, 2]      (w:1, o:155, a:1, s:1, b:0), 
% 0.74/1.10  p14  [56, 2]      (w:1, o:156, a:1, s:1, b:0), 
% 0.74/1.10  p12  [58, 2]      (w:1, o:157, a:1, s:1, b:0), 
% 0.74/1.10  c37  [59, 0]      (w:1, o:97, a:1, s:1, b:0), 
% 0.74/1.10  c34  [60, 0]      (w:1, o:101, a:1, s:1, b:0), 
% 0.74/1.10  c33  [61, 0]      (w:1, o:100, a:1, s:1, b:0), 
% 0.74/1.10  c36  [62, 0]      (w:1, o:96, a:1, s:1, b:0), 
% 0.74/1.10  p25  [63, 2]      (w:1, o:161, a:1, s:1, b:0), 
% 0.74/1.10  c32  [64, 0]      (w:1, o:99, a:1, s:1, b:0), 
% 0.74/1.10  c29  [65, 0]      (w:1, o:94, a:1, s:1, b:0), 
% 0.74/1.10  f8  [66, 1]      (w:1, o:122, a:1, s:1, b:0), 
% 0.74/1.10  c30  [67, 0]      (w:1, o:102, a:1, s:1, b:0), 
% 0.74/1.10  c35  [68, 0]      (w:1, o:95, a:1, s:1, b:0), 
% 0.74/1.10  f21  [69, 2]      (w:1, o:170, a:1, s:1, b:0), 
% 0.74/1.10  p26  [70, 2]      (w:1, o:162, a:1, s:1, b:0), 
% 0.74/1.10  f5  [72, 1]      (w:1, o:124, a:1, s:1, b:0), 
% 0.74/1.10  f4  [73, 1]      (w:1, o:123, a:1, s:1, b:0), 
% 0.74/1.10  p23  [74, 3]      (w:1, o:171, a:1, s:1, b:0), 
% 0.74/1.10  c31  [76, 0]      (w:1, o:98, a:1, s:1, b:0), 
% 0.74/1.10  f17  [77, 1]      (w:1, o:125, a:1, s:1, b:0), 
% 0.74/1.10  f9  [78, 1]      (w:1, o:126, a:1, s:1, b:0), 
% 0.74/1.10  f18  [79, 2]      (w:1, o:165, a:1, s:1, b:0), 
% 0.74/1.10  p27  [112, 2]      (w:1, o:163, a:1, s:1, b:0), 
% 0.74/1.10  p24  [117, 2]      (w:1, o:160, a:1, s:1, b:0), 
% 0.74/1.10  f11  [128, 2]      (w:1, o:166, a:1, s:1, b:0), 
% 0.74/1.10  f16  [129, 2]      (w:1, o:168, a:1, s:1, b:0), 
% 0.74/1.10  f13  [136, 2]      (w:1, o:169, a:1, s:1, b:0), 
% 0.74/1.10  f15  [141, 2]      (w:1, o:167, a:1, s:1, b:0).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  Starting Search:
% 0.74/1.10  
% 0.74/1.10  Resimplifying inuse:
% 0.74/1.10  Done
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  Intermediate Status:
% 0.74/1.10  Generated:    2245
% 0.74/1.10  Kept:         2018
% 0.74/1.10  Inuse:        251
% 0.74/1.10  Deleted:      0
% 0.74/1.10  Deletedinuse: 0
% 0.74/1.10  
% 0.74/1.10  Resimplifying inuse:
% 0.74/1.10  Done
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  Bliksems!, er is een bewijs:
% 0.74/1.10  % SZS status Unsatisfiable
% 0.74/1.10  % SZS output start Refutation
% 0.74/1.10  
% 0.74/1.10  clause( 6, [ p2( X, X ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 11, [ p25( c33, c36 ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 13, [ p25( c32, c33 ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 17, [ ~( p2( X, f18( X, f9( f17( c31 ) ) ) ) ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 29, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 37, [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c33 ), c34 ), f9( 
% 0.74/1.10    f17( c31 ) ) ) ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 49, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( c32
% 0.74/1.10    , X ) ), ~( p25( X, c36 ) ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 74, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 107, [ p2( X, f18( f11( f4( c33 ), c34 ), f9( f17( c31 ) ) ) ), ~( 
% 0.74/1.10    p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 342, [ p2( f11( f4( c33 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 356, [ p2( f11( f4( c32 ), c34 ), f11( f4( c33 ), c34 ) ) ] )
% 0.74/1.10  .
% 0.74/1.10  clause( 2099, [] )
% 0.74/1.10  .
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  % SZS output end Refutation
% 0.74/1.10  found a proof!
% 0.74/1.10  
% 0.74/1.10  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.10  
% 0.74/1.10  initialclauses(
% 0.74/1.10  [ clause( 2101, [ p22( c28 ) ] )
% 0.74/1.10  , clause( 2102, [ p10( X, X ) ] )
% 0.74/1.10  , clause( 2103, [ p7( X, X ) ] )
% 0.74/1.10  , clause( 2104, [ p6( X, X ) ] )
% 0.74/1.10  , clause( 2105, [ p3( X, X ) ] )
% 0.74/1.10  , clause( 2106, [ p20( X, X ) ] )
% 0.74/1.10  , clause( 2107, [ p2( X, X ) ] )
% 0.74/1.10  , clause( 2108, [ p19( X, X ) ] )
% 0.74/1.10  , clause( 2109, [ p14( X, X ) ] )
% 0.74/1.10  , clause( 2110, [ p12( X, X ) ] )
% 0.74/1.10  , clause( 2111, [ p10( c37, c34 ) ] )
% 0.74/1.10  , clause( 2112, [ p25( c33, c36 ) ] )
% 0.74/1.10  , clause( 2113, [ p25( c32, c36 ) ] )
% 0.74/1.10  , clause( 2114, [ p25( c32, c33 ) ] )
% 0.74/1.10  , clause( 2115, [ p7( f8( c29 ), c30 ) ] )
% 0.74/1.10  , clause( 2116, [ p26( f21( c28, c35 ), c34 ) ] )
% 0.74/1.10  , clause( 2117, [ p23( c28, f4( f5( X ) ), f4( X ) ) ] )
% 0.74/1.10  , clause( 2118, [ ~( p2( X, f18( X, f9( f17( c31 ) ) ) ) ) ] )
% 0.74/1.10  , clause( 2119, [ p22( X ), ~( p22( Y ) ), ~( p19( Y, X ) ) ] )
% 0.74/1.10  , clause( 2120, [ p2( f17( X ), f17( Y ) ), ~( p2( X, Y ) ) ] )
% 0.74/1.10  , clause( 2121, [ p7( f8( X ), f8( Y ) ), ~( p6( X, Y ) ) ] )
% 0.74/1.10  , clause( 2122, [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.74/1.10  , clause( 2123, [ p2( f9( X ), f9( Y ) ), ~( p2( X, Y ) ) ] )
% 0.74/1.10  , clause( 2124, [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ] )
% 0.74/1.10  , clause( 2125, [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ] )
% 0.74/1.10  , clause( 2126, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 0.74/1.10  , clause( 2127, [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ] )
% 0.74/1.10  , clause( 2128, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 0.74/1.10  , clause( 2129, [ p20( X, Y ), ~( p20( Z, X ) ), ~( p20( Z, Y ) ) ] )
% 0.74/1.10  , clause( 2130, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.74/1.10  , clause( 2131, [ p19( X, Y ), ~( p19( Z, X ) ), ~( p19( Z, Y ) ) ] )
% 0.74/1.10  , clause( 2132, [ p14( X, Y ), ~( p14( Z, X ) ), ~( p14( Z, Y ) ) ] )
% 0.74/1.10  , clause( 2133, [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ] )
% 0.74/1.10  , clause( 2134, [ p27( X, Y ), ~( p2( Z, Y ) ), ~( p27( T, Z ) ), ~( p2( T
% 0.74/1.10    , X ) ) ] )
% 0.74/1.10  , clause( 2135, [ p24( X, Y ), ~( p14( Z, X ) ), ~( p24( Z, T ) ), ~( p12( 
% 0.74/1.10    T, Y ) ) ] )
% 0.74/1.10  , clause( 2136, [ p25( X, Y ), ~( p2( Z, Y ) ), ~( p25( T, Z ) ), ~( p2( T
% 0.74/1.10    , X ) ) ] )
% 0.74/1.10  , clause( 2137, [ p26( X, Y ), ~( p20( Z, X ) ), ~( p26( Z, T ) ), ~( p10( 
% 0.74/1.10    T, Y ) ) ] )
% 0.74/1.10  , clause( 2138, [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c33 ), c34 ), f9( 
% 0.74/1.10    f17( c31 ) ) ) ) ] )
% 0.74/1.10  , clause( 2139, [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c36 ), c34 ), f9( 
% 0.74/1.10    f17( c31 ) ) ) ) ] )
% 0.74/1.10  , clause( 2140, [ p27( f11( f4( c33 ), c35 ), f11( f4( f16( c33, f9( f17( 
% 0.74/1.10    c31 ) ) ) ), c35 ) ) ] )
% 0.74/1.10  , clause( 2141, [ p25( f11( f4( c36 ), c37 ), f11( f4( f16( c36, f9( f17( 
% 0.74/1.10    c31 ) ) ) ), c37 ) ) ] )
% 0.74/1.10  , clause( 2142, [ ~( p2( f11( f4( f16( c32, f9( f17( c31 ) ) ) ), c34 ), 
% 0.74/1.10    f11( f4( c32 ), c34 ) ) ) ] )
% 0.74/1.10  , clause( 2143, [ p20( f21( X, Y ), f21( Z, T ) ), ~( p10( Y, T ) ), ~( p19( 
% 0.74/1.10    X, Z ) ) ] )
% 0.74/1.10  , clause( 2144, [ p12( f13( X, Y ), f13( Z, T ) ), ~( p10( X, Z ) ), ~( p2( 
% 0.74/1.10    Y, T ) ) ] )
% 0.74/1.10  , clause( 2145, [ p14( f15( X, Y ), f15( Z, T ) ), ~( p12( Y, T ) ), ~( p7( 
% 0.74/1.10    X, Z ) ) ] )
% 0.74/1.10  , clause( 2146, [ p2( f11( X, Y ), f11( Z, T ) ), ~( p10( Y, T ) ), ~( p3( 
% 0.74/1.10    X, Z ) ) ] )
% 0.74/1.10  , clause( 2147, [ p2( f16( X, Y ), f16( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y
% 0.74/1.10    , T ) ) ] )
% 0.74/1.10  , clause( 2148, [ p2( f18( X, Y ), f18( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y
% 0.74/1.10    , T ) ) ] )
% 0.74/1.10  , clause( 2149, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( 
% 0.74/1.10    X, c33 ) ), ~( p25( c32, X ) ) ] )
% 0.74/1.10  , clause( 2150, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( 
% 0.74/1.10    X, c36 ) ), ~( p25( c32, X ) ) ] )
% 0.74/1.10  , clause( 2151, [ p10( X, Y ), p26( f21( c28, X ), Y ), ~( p24( f15( c30, 
% 0.74/1.10    f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 0.74/1.10  , clause( 2152, [ p23( X, Y, Z ), ~( p3( T, Z ) ), ~( p3( U, Y ) ), ~( p19( 
% 0.74/1.10    W, X ) ), ~( p23( W, U, T ) ) ] )
% 0.74/1.10  , clause( 2153, [ p10( X, Y ), ~( p2( f11( f4( Z ), X ), f9( c31 ) ) ), ~( 
% 0.74/1.10    p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 0.74/1.10  , clause( 2154, [ p26( f21( c28, X ), Y ), p25( f11( f4( Z ), Y ), f11( f4( 
% 0.74/1.10    T ), Y ) ), ~( p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 0.74/1.10  ] ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 6, [ p2( X, X ) ] )
% 0.74/1.10  , clause( 2107, [ p2( X, X ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 11, [ p25( c33, c36 ) ] )
% 0.74/1.10  , clause( 2112, [ p25( c33, c36 ) ] )
% 0.74/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 13, [ p25( c32, c33 ) ] )
% 0.74/1.10  , clause( 2114, [ p25( c32, c33 ) ] )
% 0.74/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 17, [ ~( p2( X, f18( X, f9( f17( c31 ) ) ) ) ) ] )
% 0.74/1.10  , clause( 2118, [ ~( p2( X, f18( X, f9( f17( c31 ) ) ) ) ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 29, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.74/1.10  , clause( 2130, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.74/1.10    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 37, [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c33 ), c34 ), f9( 
% 0.74/1.10    f17( c31 ) ) ) ) ] )
% 0.74/1.10  , clause( 2138, [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c33 ), c34 ), f9( 
% 0.74/1.10    f17( c31 ) ) ) ) ] )
% 0.74/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 49, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( c32
% 0.74/1.10    , X ) ), ~( p25( X, c36 ) ) ] )
% 0.74/1.10  , clause( 2150, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( 
% 0.74/1.10    X, c36 ) ), ~( p25( c32, X ) ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.74/1.10    2 ), ==>( 2, 1 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  resolution(
% 0.74/1.10  clause( 2186, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.74/1.10  , clause( 29, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.74/1.10  , 2, clause( 6, [ p2( X, X ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ), 
% 0.74/1.10    substitution( 1, [ :=( X, X )] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 74, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.74/1.10  , clause( 2186, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.74/1.10     ), ==>( 1, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  resolution(
% 0.74/1.10  clause( 2188, [ ~( p2( f11( f4( c32 ), c34 ), X ) ), p2( X, f18( f11( f4( 
% 0.74/1.10    c33 ), c34 ), f9( f17( c31 ) ) ) ) ] )
% 0.74/1.10  , clause( 29, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.74/1.10  , 2, clause( 37, [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c33 ), c34 ), 
% 0.74/1.10    f9( f17( c31 ) ) ) ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, X ), :=( Y, f18( f11( f4( c33 ), c34 ), f9( 
% 0.74/1.10    f17( c31 ) ) ) ), :=( Z, f11( f4( c32 ), c34 ) )] ), substitution( 1, [] )
% 0.74/1.10    ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 107, [ p2( X, f18( f11( f4( c33 ), c34 ), f9( f17( c31 ) ) ) ), ~( 
% 0.74/1.10    p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 0.74/1.10  , clause( 2188, [ ~( p2( f11( f4( c32 ), c34 ), X ) ), p2( X, f18( f11( f4( 
% 0.74/1.10    c33 ), c34 ), f9( f17( c31 ) ) ) ) ] )
% 0.74/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.74/1.10    0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  resolution(
% 0.74/1.10  clause( 2189, [ p2( f11( f4( c33 ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( 
% 0.74/1.10    c32, c33 ) ) ] )
% 0.74/1.10  , clause( 49, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( 
% 0.74/1.10    c32, X ) ), ~( p25( X, c36 ) ) ] )
% 0.74/1.10  , 2, clause( 11, [ p25( c33, c36 ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, c33 )] ), substitution( 1, [] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  resolution(
% 0.74/1.10  clause( 2190, [ p2( f11( f4( c33 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 0.74/1.10  , clause( 2189, [ p2( f11( f4( c33 ), c34 ), f11( f4( c32 ), c34 ) ), ~( 
% 0.74/1.10    p25( c32, c33 ) ) ] )
% 0.74/1.10  , 1, clause( 13, [ p25( c32, c33 ) ] )
% 0.74/1.10  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 342, [ p2( f11( f4( c33 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 0.74/1.10  , clause( 2190, [ p2( f11( f4( c33 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 0.74/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  resolution(
% 0.74/1.10  clause( 2191, [ p2( f11( f4( c32 ), c34 ), f11( f4( c33 ), c34 ) ) ] )
% 0.74/1.10  , clause( 74, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.74/1.10  , 1, clause( 342, [ p2( f11( f4( c33 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, f11( f4( c33 ), c34 ) ), :=( Y, f11( f4( c32
% 0.74/1.10     ), c34 ) )] ), substitution( 1, [] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 356, [ p2( f11( f4( c32 ), c34 ), f11( f4( c33 ), c34 ) ) ] )
% 0.74/1.10  , clause( 2191, [ p2( f11( f4( c32 ), c34 ), f11( f4( c33 ), c34 ) ) ] )
% 0.74/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  resolution(
% 0.74/1.10  clause( 2192, [ p2( f11( f4( c33 ), c34 ), f18( f11( f4( c33 ), c34 ), f9( 
% 0.74/1.10    f17( c31 ) ) ) ) ] )
% 0.74/1.10  , clause( 107, [ p2( X, f18( f11( f4( c33 ), c34 ), f9( f17( c31 ) ) ) ), 
% 0.74/1.10    ~( p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 0.74/1.10  , 1, clause( 356, [ p2( f11( f4( c32 ), c34 ), f11( f4( c33 ), c34 ) ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, f11( f4( c33 ), c34 ) )] ), substitution( 1
% 0.74/1.10    , [] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  resolution(
% 0.74/1.10  clause( 2193, [] )
% 0.74/1.10  , clause( 17, [ ~( p2( X, f18( X, f9( f17( c31 ) ) ) ) ) ] )
% 0.74/1.10  , 0, clause( 2192, [ p2( f11( f4( c33 ), c34 ), f18( f11( f4( c33 ), c34 )
% 0.74/1.10    , f9( f17( c31 ) ) ) ) ] )
% 0.74/1.10  , 0, substitution( 0, [ :=( X, f11( f4( c33 ), c34 ) )] ), substitution( 1
% 0.74/1.10    , [] )).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  subsumption(
% 0.74/1.10  clause( 2099, [] )
% 0.74/1.10  , clause( 2193, [] )
% 0.74/1.10  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  end.
% 0.74/1.10  
% 0.74/1.10  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.10  
% 0.74/1.10  Memory use:
% 0.74/1.10  
% 0.74/1.10  space for terms:        40642
% 0.74/1.10  space for clauses:      195831
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  clauses generated:      2364
% 0.74/1.10  clauses kept:           2100
% 0.74/1.10  clauses selected:       276
% 0.74/1.10  clauses deleted:        0
% 0.74/1.10  clauses inuse deleted:  0
% 0.74/1.10  
% 0.74/1.10  subsentry:          2543
% 0.74/1.10  literals s-matched: 1509
% 0.74/1.10  literals matched:   1509
% 0.74/1.10  full subsumption:   70
% 0.74/1.10  
% 0.74/1.10  checksum:           -747362175
% 0.74/1.10  
% 0.74/1.10  
% 0.74/1.10  Bliksem ended
%------------------------------------------------------------------------------