TSTP Solution File: SYN684-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN684-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n004.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 02:53:55 EDT 2022

% Result   : Unsatisfiable 1.16s 1.53s
% Output   : Refutation 1.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN684-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.13  % Command  : bliksem %s
% 0.12/0.33  % Computer : n004.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 : Mon Jul 11 20:56:52 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.16/1.53  *** allocated 10000 integers for termspace/termends
% 1.16/1.53  *** allocated 10000 integers for clauses
% 1.16/1.53  *** allocated 10000 integers for justifications
% 1.16/1.53  Bliksem 1.12
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  Automatic Strategy Selection
% 1.16/1.53  
% 1.16/1.53  Clauses:
% 1.16/1.53  [
% 1.16/1.53     [ p22( c28 ) ],
% 1.16/1.53     [ p10( X, X ) ],
% 1.16/1.53     [ p7( X, X ) ],
% 1.16/1.53     [ p6( X, X ) ],
% 1.16/1.53     [ p3( X, X ) ],
% 1.16/1.53     [ p20( X, X ) ],
% 1.16/1.53     [ p2( X, X ) ],
% 1.16/1.53     [ p19( X, X ) ],
% 1.16/1.53     [ p14( X, X ) ],
% 1.16/1.53     [ p12( X, X ) ],
% 1.16/1.53     [ p25( c33, c36 ) ],
% 1.16/1.53     [ p25( c32, c33 ) ],
% 1.16/1.53     [ p25( c32, c36 ) ],
% 1.16/1.53     [ p2( c32, f9( c31 ) ) ],
% 1.16/1.53     [ p7( f8( c29 ), c30 ) ],
% 1.16/1.53     [ p26( f21( c28, c37 ), c34 ) ],
% 1.16/1.53     [ p26( f21( c28, c35 ), c34 ) ],
% 1.16/1.53     [ p23( c28, f4( f5( X ) ), f4( X ) ) ],
% 1.16/1.53     [ ~( p2( X, f18( X, f9( f17( c31 ) ) ) ) ) ],
% 1.16/1.53     [ p22( X ), ~( p22( Y ) ), ~( p19( Y, X ) ) ],
% 1.16/1.53     [ p2( f17( X ), f17( Y ) ), ~( p2( X, Y ) ) ],
% 1.16/1.53     [ p7( f8( X ), f8( Y ) ), ~( p6( X, Y ) ) ],
% 1.16/1.53     [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ],
% 1.16/1.53     [ p2( f9( X ), f9( Y ) ), ~( p2( X, Y ) ) ],
% 1.16/1.53     [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ],
% 1.16/1.53     [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ],
% 1.16/1.53     [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ],
% 1.16/1.53     [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ],
% 1.16/1.53     [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ],
% 1.16/1.53     [ p20( X, Y ), ~( p20( Z, X ) ), ~( p20( Z, Y ) ) ],
% 1.16/1.53     [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 1.16/1.53     [ p19( X, Y ), ~( p19( Z, X ) ), ~( p19( Z, Y ) ) ],
% 1.16/1.53     [ p14( X, Y ), ~( p14( Z, X ) ), ~( p14( Z, Y ) ) ],
% 1.16/1.53     [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ],
% 1.16/1.53     [ p27( X, Y ), ~( p2( Z, Y ) ), ~( p27( T, Z ) ), ~( p2( T, X ) ) ],
% 1.16/1.53     [ p24( X, Y ), ~( p14( Z, X ) ), ~( p24( Z, T ) ), ~( p12( T, Y ) ) ]
% 1.16/1.53    ,
% 1.16/1.53     [ p25( X, Y ), ~( p2( Z, Y ) ), ~( p25( T, Z ) ), ~( p2( T, X ) ) ],
% 1.16/1.53     [ p26( X, Y ), ~( p20( Z, X ) ), ~( p26( Z, T ) ), ~( p10( T, Y ) ) ]
% 1.16/1.53    ,
% 1.16/1.53     [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c33 ), c34 ), f9( f17( c31 )
% 1.16/1.53     ) ) ) ],
% 1.16/1.53     [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c36 ), c34 ), f9( f17( c31 )
% 1.16/1.53     ) ) ) ],
% 1.16/1.53     [ p27( f11( f4( c36 ), c37 ), f11( f4( f16( c36, f9( f17( c31 ) ) ) ), 
% 1.16/1.53    c37 ) ) ],
% 1.16/1.53     [ p27( f11( f4( c33 ), c35 ), f11( f4( f16( c33, f9( f17( c31 ) ) ) ), 
% 1.16/1.53    c35 ) ) ],
% 1.16/1.53     [ ~( p2( f11( f4( f16( c32, f9( f17( c31 ) ) ) ), c34 ), f11( f4( c32 )
% 1.16/1.53    , c34 ) ) ) ],
% 1.16/1.53     [ p20( f21( X, Y ), f21( Z, T ) ), ~( p10( Y, T ) ), ~( p19( X, Z ) ) ]
% 1.16/1.53    ,
% 1.16/1.53     [ p12( f13( X, Y ), f13( Z, T ) ), ~( p10( X, Z ) ), ~( p2( Y, T ) ) ]
% 1.16/1.53    ,
% 1.16/1.53     [ p14( f15( X, Y ), f15( Z, T ) ), ~( p12( Y, T ) ), ~( p7( X, Z ) ) ]
% 1.16/1.53    ,
% 1.16/1.53     [ p2( f11( X, Y ), f11( Z, T ) ), ~( p10( Y, T ) ), ~( p3( X, Z ) ) ]
% 1.16/1.53    ,
% 1.16/1.53     [ p2( f16( X, Y ), f16( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ]
% 1.16/1.53    ,
% 1.16/1.53     [ p2( f18( X, Y ), f18( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ]
% 1.16/1.53    ,
% 1.16/1.53     [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( X, c33 ) ), 
% 1.16/1.53    ~( p25( c32, X ) ) ],
% 1.16/1.53     [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( X, c36 ) ), 
% 1.16/1.53    ~( p25( c32, X ) ) ],
% 1.16/1.53     [ p10( X, Y ), p26( f21( c28, X ), Y ), ~( p24( f15( c30, f13( X, Z ) )
% 1.16/1.53    , f13( Y, T ) ) ) ],
% 1.16/1.53     [ p23( X, Y, Z ), ~( p3( T, Z ) ), ~( p3( U, Y ) ), ~( p19( W, X ) ), 
% 1.16/1.53    ~( p23( W, U, T ) ) ],
% 1.16/1.53     [ p10( X, Y ), ~( p2( f11( f4( Z ), X ), f9( c31 ) ) ), ~( p24( f15( c30
% 1.16/1.53    , f13( X, Z ) ), f13( Y, T ) ) ) ],
% 1.16/1.53     [ p26( f21( c28, X ), Y ), p25( f11( f4( Z ), Y ), f11( f4( T ), Y ) ), 
% 1.16/1.53    ~( p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ]
% 1.16/1.53  ] .
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  percentage equality = 0.000000, percentage horn = 0.963636
% 1.16/1.53  This is a near-Horn, non-equality  problem
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  Options Used:
% 1.16/1.53  
% 1.16/1.53  useres =            1
% 1.16/1.53  useparamod =        0
% 1.16/1.53  useeqrefl =         0
% 1.16/1.53  useeqfact =         0
% 1.16/1.53  usefactor =         1
% 1.16/1.53  usesimpsplitting =  0
% 1.16/1.53  usesimpdemod =      0
% 1.16/1.53  usesimpres =        4
% 1.16/1.53  
% 1.16/1.53  resimpinuse      =  1000
% 1.16/1.53  resimpclauses =     20000
% 1.16/1.53  substype =          standard
% 1.16/1.53  backwardsubs =      1
% 1.16/1.53  selectoldest =      5
% 1.16/1.53  
% 1.16/1.53  litorderings [0] =  split
% 1.16/1.53  litorderings [1] =  liftord
% 1.16/1.53  
% 1.16/1.53  termordering =      none
% 1.16/1.53  
% 1.16/1.53  litapriori =        1
% 1.16/1.53  termapriori =       0
% 1.16/1.53  litaposteriori =    0
% 1.16/1.53  termaposteriori =   0
% 1.16/1.53  demodaposteriori =  0
% 1.16/1.53  ordereqreflfact =   0
% 1.16/1.53  
% 1.16/1.53  litselect =         negative
% 1.16/1.53  
% 1.16/1.53  maxweight =         30000
% 1.16/1.53  maxdepth =          30000
% 1.16/1.53  maxlength =         115
% 1.16/1.53  maxnrvars =         195
% 1.16/1.53  excuselevel =       0
% 1.16/1.53  increasemaxweight = 0
% 1.16/1.53  
% 1.16/1.53  maxselected =       10000000
% 1.16/1.53  maxnrclauses =      10000000
% 1.16/1.53  
% 1.16/1.53  showgenerated =    0
% 1.16/1.53  showkept =         0
% 1.16/1.53  showselected =     0
% 1.16/1.53  showdeleted =      0
% 1.16/1.53  showresimp =       1
% 1.16/1.53  showstatus =       2000
% 1.16/1.53  
% 1.16/1.53  prologoutput =     1
% 1.16/1.53  nrgoals =          5000000
% 1.16/1.53  totalproof =       1
% 1.16/1.53  
% 1.16/1.53  Symbols occurring in the translation:
% 1.16/1.53  
% 1.16/1.53  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.16/1.53  .  [1, 2]      (w:1, o:127, a:1, s:1, b:0), 
% 1.16/1.53  !  [4, 1]      (w:1, o:116, a:1, s:1, b:0), 
% 1.16/1.53  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.16/1.53  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.16/1.53  c28  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 1.16/1.53  p22  [40, 1]      (w:1, o:121, a:1, s:1, b:0), 
% 1.16/1.53  p10  [42, 2]      (w:1, o:152, a:1, s:1, b:0), 
% 1.16/1.53  p7  [44, 2]      (w:1, o:154, a:1, s:1, b:0), 
% 1.16/1.53  p6  [46, 2]      (w:1, o:153, a:1, s:1, b:0), 
% 1.16/1.53  p3  [48, 2]      (w:1, o:164, a:1, s:1, b:0), 
% 1.16/1.53  p20  [50, 2]      (w:1, o:158, a:1, s:1, b:0), 
% 1.16/1.53  p2  [52, 2]      (w:1, o:159, a:1, s:1, b:0), 
% 1.16/1.53  p19  [54, 2]      (w:1, o:155, a:1, s:1, b:0), 
% 1.16/1.53  p14  [56, 2]      (w:1, o:156, a:1, s:1, b:0), 
% 1.16/1.53  p12  [58, 2]      (w:1, o:157, a:1, s:1, b:0), 
% 1.16/1.53  c33  [59, 0]      (w:1, o:98, a:1, s:1, b:0), 
% 1.16/1.53  c36  [60, 0]      (w:1, o:100, a:1, s:1, b:0), 
% 1.16/1.53  p25  [61, 2]      (w:1, o:161, a:1, s:1, b:0), 
% 1.16/1.53  c32  [62, 0]      (w:1, o:97, a:1, s:1, b:0), 
% 1.16/1.53  c31  [63, 0]      (w:1, o:96, a:1, s:1, b:0), 
% 1.16/1.53  f9  [64, 1]      (w:1, o:123, a:1, s:1, b:0), 
% 1.16/1.53  c29  [65, 0]      (w:1, o:94, a:1, s:1, b:0), 
% 1.16/1.53  f8  [66, 1]      (w:1, o:122, a:1, s:1, b:0), 
% 1.16/1.53  c30  [67, 0]      (w:1, o:95, a:1, s:1, b:0), 
% 1.16/1.53  c37  [68, 0]      (w:1, o:101, a:1, s:1, b:0), 
% 1.16/1.53  f21  [69, 2]      (w:1, o:170, a:1, s:1, b:0), 
% 1.16/1.53  c34  [70, 0]      (w:1, o:102, a:1, s:1, b:0), 
% 1.16/1.53  p26  [71, 2]      (w:1, o:162, a:1, s:1, b:0), 
% 1.16/1.53  c35  [72, 0]      (w:1, o:99, a:1, s:1, b:0), 
% 1.16/1.53  f5  [74, 1]      (w:1, o:125, a:1, s:1, b:0), 
% 1.16/1.53  f4  [75, 1]      (w:1, o:124, a:1, s:1, b:0), 
% 1.16/1.53  p23  [76, 3]      (w:1, o:171, a:1, s:1, b:0), 
% 1.16/1.53  f17  [78, 1]      (w:1, o:126, a:1, s:1, b:0), 
% 1.16/1.53  f18  [79, 2]      (w:1, o:165, a:1, s:1, b:0), 
% 1.16/1.53  p27  [112, 2]      (w:1, o:163, a:1, s:1, b:0), 
% 1.16/1.53  p24  [117, 2]      (w:1, o:160, a:1, s:1, b:0), 
% 1.16/1.53  f11  [128, 2]      (w:1, o:166, a:1, s:1, b:0), 
% 1.16/1.53  f16  [129, 2]      (w:1, o:168, a:1, s:1, b:0), 
% 1.16/1.53  f13  [136, 2]      (w:1, o:169, a:1, s:1, b:0), 
% 1.16/1.53  f15  [141, 2]      (w:1, o:167, a:1, s:1, b:0).
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  Starting Search:
% 1.16/1.53  
% 1.16/1.53  Resimplifying inuse:
% 1.16/1.53  Done
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  Intermediate Status:
% 1.16/1.53  Generated:    2227
% 1.16/1.53  Kept:         2015
% 1.16/1.53  Inuse:        252
% 1.16/1.53  Deleted:      0
% 1.16/1.53  Deletedinuse: 0
% 1.16/1.53  
% 1.16/1.53  Resimplifying inuse:
% 1.16/1.53  Done
% 1.16/1.53  
% 1.16/1.53  Resimplifying inuse:
% 1.16/1.53  Done
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  Intermediate Status:
% 1.16/1.53  Generated:    4367
% 1.16/1.53  Kept:         4070
% 1.16/1.53  Inuse:        346
% 1.16/1.53  Deleted:      0
% 1.16/1.53  Deletedinuse: 0
% 1.16/1.53  
% 1.16/1.53  Resimplifying inuse:
% 1.16/1.53  Done
% 1.16/1.53  
% 1.16/1.53  Resimplifying inuse:
% 1.16/1.53  Done
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  Intermediate Status:
% 1.16/1.53  Generated:    6529
% 1.16/1.53  Kept:         6196
% 1.16/1.53  Inuse:        401
% 1.16/1.53  Deleted:      0
% 1.16/1.53  Deletedinuse: 0
% 1.16/1.53  
% 1.16/1.53  Resimplifying inuse:
% 1.16/1.53  Done
% 1.16/1.53  
% 1.16/1.53  Resimplifying inuse:
% 1.16/1.53  Done
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  Intermediate Status:
% 1.16/1.53  Generated:    8623
% 1.16/1.53  Kept:         8245
% 1.16/1.53  Inuse:        451
% 1.16/1.53  Deleted:      0
% 1.16/1.53  Deletedinuse: 0
% 1.16/1.53  
% 1.16/1.53  Resimplifying inuse:
% 1.16/1.53  Done
% 1.16/1.53  
% 1.16/1.53  Resimplifying inuse:
% 1.16/1.53  Done
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  Intermediate Status:
% 1.16/1.53  Generated:    10668
% 1.16/1.53  Kept:         10249
% 1.16/1.53  Inuse:        479
% 1.16/1.53  Deleted:      12
% 1.16/1.53  Deletedinuse: 12
% 1.16/1.53  
% 1.16/1.53  Resimplifying inuse:
% 1.16/1.53  Done
% 1.16/1.53  
% 1.16/1.53  Resimplifying inuse:
% 1.16/1.53  Done
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  Intermediate Status:
% 1.16/1.53  Generated:    12751
% 1.16/1.53  Kept:         12261
% 1.16/1.53  Inuse:        506
% 1.16/1.53  Deleted:      20
% 1.16/1.53  Deletedinuse: 20
% 1.16/1.53  
% 1.16/1.53  Resimplifying inuse:
% 1.16/1.53  Done
% 1.16/1.53  
% 1.16/1.53  Resimplifying inuse:
% 1.16/1.53  Done
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  Intermediate Status:
% 1.16/1.53  Generated:    14788
% 1.16/1.53  Kept:         14277
% 1.16/1.53  Inuse:        536
% 1.16/1.53  Deleted:      24
% 1.16/1.53  Deletedinuse: 24
% 1.16/1.53  
% 1.16/1.53  Resimplifying inuse:
% 1.16/1.53  Done
% 1.16/1.53  
% 1.16/1.53  Resimplifying inuse:
% 1.16/1.53  Done
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  Intermediate Status:
% 1.16/1.53  Generated:    16919
% 1.16/1.53  Kept:         16333
% 1.16/1.53  Inuse:        571
% 1.16/1.53  Deleted:      36
% 1.16/1.53  Deletedinuse: 24
% 1.16/1.53  
% 1.16/1.53  Resimplifying inuse:
% 1.16/1.53  Done
% 1.16/1.53  
% 1.16/1.53  Resimplifying inuse:
% 1.16/1.53  Done
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  Intermediate Status:
% 1.16/1.53  Generated:    19034
% 1.16/1.53  Kept:         18385
% 1.16/1.53  Inuse:        606
% 1.16/1.53  Deleted:      64
% 1.16/1.53  Deletedinuse: 24
% 1.16/1.53  
% 1.16/1.53  Resimplifying inuse:
% 1.16/1.53  Done
% 1.16/1.53  
% 1.16/1.53  Resimplifying clauses:
% 1.16/1.53  Done
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  Bliksems!, er is een bewijs:
% 1.16/1.53  % SZS status Unsatisfiable
% 1.16/1.53  % SZS output start Refutation
% 1.16/1.53  
% 1.16/1.53  clause( 6, [ p2( X, X ) ] )
% 1.16/1.53  .
% 1.16/1.53  clause( 10, [ p25( c33, c36 ) ] )
% 1.16/1.53  .
% 1.16/1.53  clause( 11, [ p25( c32, c33 ) ] )
% 1.16/1.53  .
% 1.16/1.53  clause( 18, [ ~( p2( X, f18( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.16/1.53  .
% 1.16/1.53  clause( 30, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.16/1.53  .
% 1.16/1.53  clause( 38, [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c33 ), c34 ), f9( 
% 1.16/1.53    f17( c31 ) ) ) ) ] )
% 1.16/1.53  .
% 1.16/1.53  clause( 50, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( c32
% 1.16/1.53    , X ) ), ~( p25( X, c36 ) ) ] )
% 1.16/1.53  .
% 1.16/1.53  clause( 146, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 1.16/1.53  .
% 1.16/1.53  clause( 301, [ p2( X, f18( f11( f4( c33 ), c34 ), f9( f17( c31 ) ) ) ), ~( 
% 1.16/1.53    p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 1.16/1.53  .
% 1.16/1.53  clause( 722, [ p2( f11( f4( c33 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.16/1.53  .
% 1.16/1.53  clause( 727, [ p2( f11( f4( c32 ), c34 ), f11( f4( c33 ), c34 ) ) ] )
% 1.16/1.53  .
% 1.16/1.53  clause( 20140, [] )
% 1.16/1.53  .
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  % SZS output end Refutation
% 1.16/1.53  found a proof!
% 1.16/1.53  
% 1.16/1.53  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.16/1.53  
% 1.16/1.53  initialclauses(
% 1.16/1.53  [ clause( 20142, [ p22( c28 ) ] )
% 1.16/1.53  , clause( 20143, [ p10( X, X ) ] )
% 1.16/1.53  , clause( 20144, [ p7( X, X ) ] )
% 1.16/1.53  , clause( 20145, [ p6( X, X ) ] )
% 1.16/1.53  , clause( 20146, [ p3( X, X ) ] )
% 1.16/1.53  , clause( 20147, [ p20( X, X ) ] )
% 1.16/1.53  , clause( 20148, [ p2( X, X ) ] )
% 1.16/1.53  , clause( 20149, [ p19( X, X ) ] )
% 1.16/1.53  , clause( 20150, [ p14( X, X ) ] )
% 1.16/1.53  , clause( 20151, [ p12( X, X ) ] )
% 1.16/1.53  , clause( 20152, [ p25( c33, c36 ) ] )
% 1.16/1.53  , clause( 20153, [ p25( c32, c33 ) ] )
% 1.16/1.53  , clause( 20154, [ p25( c32, c36 ) ] )
% 1.16/1.53  , clause( 20155, [ p2( c32, f9( c31 ) ) ] )
% 1.16/1.53  , clause( 20156, [ p7( f8( c29 ), c30 ) ] )
% 1.16/1.53  , clause( 20157, [ p26( f21( c28, c37 ), c34 ) ] )
% 1.16/1.53  , clause( 20158, [ p26( f21( c28, c35 ), c34 ) ] )
% 1.16/1.53  , clause( 20159, [ p23( c28, f4( f5( X ) ), f4( X ) ) ] )
% 1.16/1.53  , clause( 20160, [ ~( p2( X, f18( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.16/1.53  , clause( 20161, [ p22( X ), ~( p22( Y ) ), ~( p19( Y, X ) ) ] )
% 1.16/1.53  , clause( 20162, [ p2( f17( X ), f17( Y ) ), ~( p2( X, Y ) ) ] )
% 1.16/1.53  , clause( 20163, [ p7( f8( X ), f8( Y ) ), ~( p6( X, Y ) ) ] )
% 1.16/1.53  , clause( 20164, [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 1.16/1.53  , clause( 20165, [ p2( f9( X ), f9( Y ) ), ~( p2( X, Y ) ) ] )
% 1.16/1.53  , clause( 20166, [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ] )
% 1.16/1.53  , clause( 20167, [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ] )
% 1.16/1.53  , clause( 20168, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 1.16/1.53  , clause( 20169, [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ] )
% 1.16/1.53  , clause( 20170, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 1.16/1.53  , clause( 20171, [ p20( X, Y ), ~( p20( Z, X ) ), ~( p20( Z, Y ) ) ] )
% 1.16/1.53  , clause( 20172, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 1.16/1.53  , clause( 20173, [ p19( X, Y ), ~( p19( Z, X ) ), ~( p19( Z, Y ) ) ] )
% 1.16/1.53  , clause( 20174, [ p14( X, Y ), ~( p14( Z, X ) ), ~( p14( Z, Y ) ) ] )
% 1.16/1.53  , clause( 20175, [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ] )
% 1.16/1.53  , clause( 20176, [ p27( X, Y ), ~( p2( Z, Y ) ), ~( p27( T, Z ) ), ~( p2( T
% 1.16/1.53    , X ) ) ] )
% 1.16/1.53  , clause( 20177, [ p24( X, Y ), ~( p14( Z, X ) ), ~( p24( Z, T ) ), ~( p12( 
% 1.16/1.53    T, Y ) ) ] )
% 1.16/1.53  , clause( 20178, [ p25( X, Y ), ~( p2( Z, Y ) ), ~( p25( T, Z ) ), ~( p2( T
% 1.16/1.53    , X ) ) ] )
% 1.16/1.53  , clause( 20179, [ p26( X, Y ), ~( p20( Z, X ) ), ~( p26( Z, T ) ), ~( p10( 
% 1.16/1.53    T, Y ) ) ] )
% 1.16/1.53  , clause( 20180, [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c33 ), c34 ), 
% 1.16/1.53    f9( f17( c31 ) ) ) ) ] )
% 1.16/1.53  , clause( 20181, [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c36 ), c34 ), 
% 1.16/1.53    f9( f17( c31 ) ) ) ) ] )
% 1.16/1.53  , clause( 20182, [ p27( f11( f4( c36 ), c37 ), f11( f4( f16( c36, f9( f17( 
% 1.16/1.53    c31 ) ) ) ), c37 ) ) ] )
% 1.16/1.53  , clause( 20183, [ p27( f11( f4( c33 ), c35 ), f11( f4( f16( c33, f9( f17( 
% 1.16/1.53    c31 ) ) ) ), c35 ) ) ] )
% 1.16/1.53  , clause( 20184, [ ~( p2( f11( f4( f16( c32, f9( f17( c31 ) ) ) ), c34 ), 
% 1.16/1.53    f11( f4( c32 ), c34 ) ) ) ] )
% 1.16/1.53  , clause( 20185, [ p20( f21( X, Y ), f21( Z, T ) ), ~( p10( Y, T ) ), ~( 
% 1.16/1.53    p19( X, Z ) ) ] )
% 1.16/1.53  , clause( 20186, [ p12( f13( X, Y ), f13( Z, T ) ), ~( p10( X, Z ) ), ~( p2( 
% 1.16/1.53    Y, T ) ) ] )
% 1.16/1.53  , clause( 20187, [ p14( f15( X, Y ), f15( Z, T ) ), ~( p12( Y, T ) ), ~( p7( 
% 1.16/1.53    X, Z ) ) ] )
% 1.16/1.53  , clause( 20188, [ p2( f11( X, Y ), f11( Z, T ) ), ~( p10( Y, T ) ), ~( p3( 
% 1.16/1.53    X, Z ) ) ] )
% 1.16/1.53  , clause( 20189, [ p2( f16( X, Y ), f16( Z, T ) ), ~( p2( X, Z ) ), ~( p2( 
% 1.16/1.53    Y, T ) ) ] )
% 1.16/1.53  , clause( 20190, [ p2( f18( X, Y ), f18( Z, T ) ), ~( p2( X, Z ) ), ~( p2( 
% 1.16/1.53    Y, T ) ) ] )
% 1.16/1.53  , clause( 20191, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( 
% 1.16/1.53    X, c33 ) ), ~( p25( c32, X ) ) ] )
% 1.16/1.53  , clause( 20192, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( 
% 1.16/1.53    X, c36 ) ), ~( p25( c32, X ) ) ] )
% 1.16/1.53  , clause( 20193, [ p10( X, Y ), p26( f21( c28, X ), Y ), ~( p24( f15( c30, 
% 1.16/1.53    f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 1.16/1.53  , clause( 20194, [ p23( X, Y, Z ), ~( p3( T, Z ) ), ~( p3( U, Y ) ), ~( p19( 
% 1.16/1.53    W, X ) ), ~( p23( W, U, T ) ) ] )
% 1.16/1.53  , clause( 20195, [ p10( X, Y ), ~( p2( f11( f4( Z ), X ), f9( c31 ) ) ), 
% 1.16/1.53    ~( p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 1.16/1.53  , clause( 20196, [ p26( f21( c28, X ), Y ), p25( f11( f4( Z ), Y ), f11( f4( 
% 1.16/1.53    T ), Y ) ), ~( p24( f15( c30, f13( X, Z ) ), f13( Y, T ) ) ) ] )
% 1.16/1.53  ] ).
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  subsumption(
% 1.16/1.53  clause( 6, [ p2( X, X ) ] )
% 1.16/1.53  , clause( 20148, [ p2( X, X ) ] )
% 1.16/1.53  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  subsumption(
% 1.16/1.53  clause( 10, [ p25( c33, c36 ) ] )
% 1.16/1.53  , clause( 20152, [ p25( c33, c36 ) ] )
% 1.16/1.53  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  subsumption(
% 1.16/1.53  clause( 11, [ p25( c32, c33 ) ] )
% 1.16/1.53  , clause( 20153, [ p25( c32, c33 ) ] )
% 1.16/1.53  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  subsumption(
% 1.16/1.53  clause( 18, [ ~( p2( X, f18( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.16/1.53  , clause( 20160, [ ~( p2( X, f18( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.16/1.53  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  subsumption(
% 1.16/1.53  clause( 30, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.16/1.53  , clause( 20172, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 1.16/1.53  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 1.16/1.53    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  subsumption(
% 1.16/1.53  clause( 38, [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c33 ), c34 ), f9( 
% 1.16/1.53    f17( c31 ) ) ) ) ] )
% 1.16/1.53  , clause( 20180, [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c33 ), c34 ), 
% 1.16/1.53    f9( f17( c31 ) ) ) ) ] )
% 1.16/1.53  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  subsumption(
% 1.16/1.53  clause( 50, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( c32
% 1.16/1.53    , X ) ), ~( p25( X, c36 ) ) ] )
% 1.16/1.53  , clause( 20192, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( 
% 1.16/1.53    X, c36 ) ), ~( p25( c32, X ) ) ] )
% 1.16/1.53  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 1.16/1.53    2 ), ==>( 2, 1 )] ) ).
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  resolution(
% 1.16/1.53  clause( 20228, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 1.16/1.53  , clause( 30, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.16/1.53  , 2, clause( 6, [ p2( X, X ) ] )
% 1.16/1.53  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ), 
% 1.16/1.53    substitution( 1, [ :=( X, X )] )).
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  subsumption(
% 1.16/1.53  clause( 146, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 1.16/1.53  , clause( 20228, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 1.16/1.53  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 1.16/1.53     ), ==>( 1, 0 )] ) ).
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  resolution(
% 1.16/1.53  clause( 20230, [ ~( p2( f11( f4( c32 ), c34 ), X ) ), p2( X, f18( f11( f4( 
% 1.16/1.53    c33 ), c34 ), f9( f17( c31 ) ) ) ) ] )
% 1.16/1.53  , clause( 30, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 1.16/1.53  , 2, clause( 38, [ p2( f11( f4( c32 ), c34 ), f18( f11( f4( c33 ), c34 ), 
% 1.16/1.53    f9( f17( c31 ) ) ) ) ] )
% 1.16/1.53  , 0, substitution( 0, [ :=( X, X ), :=( Y, f18( f11( f4( c33 ), c34 ), f9( 
% 1.16/1.53    f17( c31 ) ) ) ), :=( Z, f11( f4( c32 ), c34 ) )] ), substitution( 1, [] )
% 1.16/1.53    ).
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  subsumption(
% 1.16/1.53  clause( 301, [ p2( X, f18( f11( f4( c33 ), c34 ), f9( f17( c31 ) ) ) ), ~( 
% 1.16/1.53    p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 1.16/1.53  , clause( 20230, [ ~( p2( f11( f4( c32 ), c34 ), X ) ), p2( X, f18( f11( f4( 
% 1.16/1.53    c33 ), c34 ), f9( f17( c31 ) ) ) ) ] )
% 1.16/1.53  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 1.16/1.53    0 )] ) ).
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  resolution(
% 1.16/1.53  clause( 20231, [ p2( f11( f4( c33 ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( 
% 1.16/1.53    c32, c33 ) ) ] )
% 1.16/1.53  , clause( 50, [ p2( f11( f4( X ), c34 ), f11( f4( c32 ), c34 ) ), ~( p25( 
% 1.16/1.53    c32, X ) ), ~( p25( X, c36 ) ) ] )
% 1.16/1.53  , 2, clause( 10, [ p25( c33, c36 ) ] )
% 1.16/1.53  , 0, substitution( 0, [ :=( X, c33 )] ), substitution( 1, [] )).
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  resolution(
% 1.16/1.53  clause( 20232, [ p2( f11( f4( c33 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.16/1.53  , clause( 20231, [ p2( f11( f4( c33 ), c34 ), f11( f4( c32 ), c34 ) ), ~( 
% 1.16/1.53    p25( c32, c33 ) ) ] )
% 1.16/1.53  , 1, clause( 11, [ p25( c32, c33 ) ] )
% 1.16/1.53  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  subsumption(
% 1.16/1.53  clause( 722, [ p2( f11( f4( c33 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.16/1.53  , clause( 20232, [ p2( f11( f4( c33 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.16/1.53  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  resolution(
% 1.16/1.53  clause( 20233, [ p2( f11( f4( c32 ), c34 ), f11( f4( c33 ), c34 ) ) ] )
% 1.16/1.53  , clause( 146, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 1.16/1.53  , 1, clause( 722, [ p2( f11( f4( c33 ), c34 ), f11( f4( c32 ), c34 ) ) ] )
% 1.16/1.53  , 0, substitution( 0, [ :=( X, f11( f4( c33 ), c34 ) ), :=( Y, f11( f4( c32
% 1.16/1.53     ), c34 ) )] ), substitution( 1, [] )).
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  subsumption(
% 1.16/1.53  clause( 727, [ p2( f11( f4( c32 ), c34 ), f11( f4( c33 ), c34 ) ) ] )
% 1.16/1.53  , clause( 20233, [ p2( f11( f4( c32 ), c34 ), f11( f4( c33 ), c34 ) ) ] )
% 1.16/1.53  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  resolution(
% 1.16/1.53  clause( 20234, [ p2( f11( f4( c33 ), c34 ), f18( f11( f4( c33 ), c34 ), f9( 
% 1.16/1.53    f17( c31 ) ) ) ) ] )
% 1.16/1.53  , clause( 301, [ p2( X, f18( f11( f4( c33 ), c34 ), f9( f17( c31 ) ) ) ), 
% 1.16/1.53    ~( p2( f11( f4( c32 ), c34 ), X ) ) ] )
% 1.16/1.53  , 1, clause( 727, [ p2( f11( f4( c32 ), c34 ), f11( f4( c33 ), c34 ) ) ] )
% 1.16/1.53  , 0, substitution( 0, [ :=( X, f11( f4( c33 ), c34 ) )] ), substitution( 1
% 1.16/1.53    , [] )).
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  resolution(
% 1.16/1.53  clause( 20235, [] )
% 1.16/1.53  , clause( 18, [ ~( p2( X, f18( X, f9( f17( c31 ) ) ) ) ) ] )
% 1.16/1.53  , 0, clause( 20234, [ p2( f11( f4( c33 ), c34 ), f18( f11( f4( c33 ), c34 )
% 1.16/1.53    , f9( f17( c31 ) ) ) ) ] )
% 1.16/1.53  , 0, substitution( 0, [ :=( X, f11( f4( c33 ), c34 ) )] ), substitution( 1
% 1.16/1.53    , [] )).
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  subsumption(
% 1.16/1.53  clause( 20140, [] )
% 1.16/1.53  , clause( 20235, [] )
% 1.16/1.53  , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  end.
% 1.16/1.53  
% 1.16/1.53  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.16/1.53  
% 1.16/1.53  Memory use:
% 1.16/1.53  
% 1.16/1.53  space for terms:        363785
% 1.16/1.53  space for clauses:      1497474
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  clauses generated:      20812
% 1.16/1.53  clauses kept:           20141
% 1.16/1.53  clauses selected:       696
% 1.16/1.53  clauses deleted:        1111
% 1.16/1.53  clauses inuse deleted:  24
% 1.16/1.53  
% 1.16/1.53  subsentry:          85885
% 1.16/1.53  literals s-matched: 77403
% 1.16/1.53  literals matched:   77403
% 1.16/1.53  full subsumption:   534
% 1.16/1.53  
% 1.16/1.53  checksum:           -798832879
% 1.16/1.53  
% 1.16/1.53  
% 1.16/1.53  Bliksem ended
%------------------------------------------------------------------------------