TSTP Solution File: SYN652-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN652-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n013.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 02:53:41 EDT 2022

% Result   : Unsatisfiable 0.42s 0.84s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : SYN652-1 : TPTP v8.1.0. Released v2.5.0.
% 0.00/0.07  % Command  : bliksem %s
% 0.06/0.25  % Computer : n013.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % DateTime : Mon Jul 11 23:15:14 EDT 2022
% 0.06/0.26  % CPUTime  : 
% 0.42/0.84  *** allocated 10000 integers for termspace/termends
% 0.42/0.84  *** allocated 10000 integers for clauses
% 0.42/0.84  *** allocated 10000 integers for justifications
% 0.42/0.84  Bliksem 1.12
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  Automatic Strategy Selection
% 0.42/0.84  
% 0.42/0.84  Clauses:
% 0.42/0.84  [
% 0.42/0.84     [ p11( X, X ) ],
% 0.42/0.84     [ p9( X, X ) ],
% 0.42/0.84     [ p7( X, X ) ],
% 0.42/0.84     [ p6( X, X ) ],
% 0.42/0.84     [ p4( X, X ) ],
% 0.42/0.84     [ p3( X, X ) ],
% 0.42/0.84     [ p25( X, X ) ],
% 0.42/0.84     [ p23( X, X ) ],
% 0.42/0.84     [ p21( X, X ) ],
% 0.42/0.84     [ p2( X, X ) ],
% 0.42/0.84     [ p19( X, X ) ],
% 0.42/0.84     [ p18( X, X ) ],
% 0.42/0.84     [ p16( X, X ) ],
% 0.42/0.84     [ p14( X, X ) ],
% 0.42/0.84     [ p12( X, X ) ],
% 0.42/0.84     [ p4( c34, f5( c35, c32 ) ) ],
% 0.42/0.84     [ p27( f8( f10( c28, f13( c29, c30 ) ), c32 ), c33 ) ],
% 0.42/0.84     [ ~( p4( f5( c31, c33 ), f15( f17( c36, c31 ), c34 ) ) ) ],
% 0.42/0.84     [ p11( X, Y ), ~( p11( Z, X ) ), ~( p11( Z, Y ) ) ],
% 0.42/0.84     [ p9( X, Y ), ~( p9( Z, X ) ), ~( p9( Z, Y ) ) ],
% 0.42/0.84     [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ],
% 0.42/0.84     [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ],
% 0.42/0.84     [ p4( X, Y ), ~( p4( Z, X ) ), ~( p4( Z, Y ) ) ],
% 0.42/0.84     [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ],
% 0.42/0.84     [ p25( X, Y ), ~( p25( Z, X ) ), ~( p25( Z, Y ) ) ],
% 0.42/0.84     [ p23( X, Y ), ~( p23( Z, X ) ), ~( p23( Z, Y ) ) ],
% 0.42/0.84     [ p21( X, Y ), ~( p21( Z, X ) ), ~( p21( Z, Y ) ) ],
% 0.42/0.84     [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.42/0.84     [ p19( X, Y ), ~( p19( Z, X ) ), ~( p19( Z, Y ) ) ],
% 0.42/0.84     [ p18( X, Y ), ~( p18( Z, X ) ), ~( p18( Z, Y ) ) ],
% 0.42/0.84     [ p16( X, Y ), ~( p16( Z, X ) ), ~( p16( Z, Y ) ) ],
% 0.42/0.84     [ p14( X, Y ), ~( p14( Z, X ) ), ~( p14( Z, Y ) ) ],
% 0.42/0.84     [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ],
% 0.42/0.84     [ p4( f15( f17( c36, X ), f5( c35, Y ) ), f5( X, Y ) ) ],
% 0.42/0.84     [ p27( X, Y ), ~( p3( Z, Y ) ), ~( p7( T, X ) ), ~( p27( T, Z ) ) ],
% 0.42/0.84     [ p7( f8( X, Y ), f8( Z, T ) ), ~( p3( Y, T ) ), ~( p6( X, Z ) ) ],
% 0.42/0.84     [ p14( f17( X, Y ), f17( Z, T ) ), ~( p16( X, Z ) ), ~( p2( Y, T ) ) ]
% 0.42/0.84    ,
% 0.42/0.84     [ p18( f26( X, Y ), f26( Z, T ) ), ~( p25( X, Z ) ), ~( p3( Y, T ) ) ]
% 0.42/0.84    ,
% 0.42/0.84     [ p19( f22( X, Y ), f22( Z, T ) ), ~( p19( Y, T ) ), ~( p21( X, Z ) ) ]
% 0.42/0.84    ,
% 0.42/0.84     [ p21( f24( X, Y ), f24( Z, T ) ), ~( p14( Y, T ) ), ~( p23( X, Z ) ) ]
% 0.42/0.84    ,
% 0.42/0.84     [ p4( f15( X, Y ), f15( Z, T ) ), ~( p14( X, Z ) ), ~( p4( Y, T ) ) ]
% 0.42/0.84    ,
% 0.42/0.84     [ p4( f20( X, Y ), f20( Z, T ) ), ~( p18( X, Z ) ), ~( p19( Y, T ) ) ]
% 0.42/0.84    ,
% 0.42/0.84     [ p4( f5( X, Y ), f5( Z, T ) ), ~( p2( X, Z ) ), ~( p3( Y, T ) ) ],
% 0.42/0.84     [ p6( f10( X, Y ), f10( Z, T ) ), ~( p6( Y, T ) ), ~( p9( X, Z ) ) ]
% 0.42/0.84    ,
% 0.42/0.84     [ p6( f13( X, Y ), f13( Z, T ) ), ~( p11( X, Z ) ), ~( p12( Y, T ) ) ]
% 0.42/0.84    ,
% 0.42/0.84     [ p4( f5( c31, X ), f5( c31, Y ) ), ~( p27( f8( f10( c28, f13( c29, c30
% 0.42/0.84     ) ), X ), Y ) ) ],
% 0.42/0.84     [ p4( f15( f17( c36, X ), f20( f26( c37, Y ), Z ) ), f20( f26( c37, Y )
% 0.42/0.84    , f22( f24( c38, f17( c36, X ) ), Z ) ) ) ]
% 0.42/0.84  ] .
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  percentage equality = 0.000000, percentage horn = 1.000000
% 0.42/0.84  This is a near-Horn, non-equality  problem
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  Options Used:
% 0.42/0.84  
% 0.42/0.84  useres =            1
% 0.42/0.84  useparamod =        0
% 0.42/0.84  useeqrefl =         0
% 0.42/0.84  useeqfact =         0
% 0.42/0.84  usefactor =         1
% 0.42/0.84  usesimpsplitting =  0
% 0.42/0.84  usesimpdemod =      0
% 0.42/0.84  usesimpres =        4
% 0.42/0.84  
% 0.42/0.84  resimpinuse      =  1000
% 0.42/0.84  resimpclauses =     20000
% 0.42/0.84  substype =          standard
% 0.42/0.84  backwardsubs =      1
% 0.42/0.84  selectoldest =      5
% 0.42/0.84  
% 0.42/0.84  litorderings [0] =  split
% 0.42/0.84  litorderings [1] =  liftord
% 0.42/0.84  
% 0.42/0.84  termordering =      none
% 0.42/0.84  
% 0.42/0.84  litapriori =        1
% 0.42/0.84  termapriori =       0
% 0.42/0.84  litaposteriori =    0
% 0.42/0.84  termaposteriori =   0
% 0.42/0.84  demodaposteriori =  0
% 0.42/0.84  ordereqreflfact =   0
% 0.42/0.84  
% 0.42/0.84  litselect =         negative
% 0.42/0.84  
% 0.42/0.84  maxweight =         30000
% 0.42/0.84  maxdepth =          30000
% 0.42/0.84  maxlength =         115
% 0.42/0.84  maxnrvars =         195
% 0.42/0.84  excuselevel =       0
% 0.42/0.84  increasemaxweight = 0
% 0.42/0.84  
% 0.42/0.84  maxselected =       10000000
% 0.42/0.84  maxnrclauses =      10000000
% 0.42/0.84  
% 0.42/0.84  showgenerated =    0
% 0.42/0.84  showkept =         0
% 0.42/0.84  showselected =     0
% 0.42/0.84  showdeleted =      0
% 0.42/0.84  showresimp =       1
% 0.42/0.84  showstatus =       2000
% 0.42/0.84  
% 0.42/0.84  prologoutput =     1
% 0.42/0.84  nrgoals =          5000000
% 0.42/0.84  totalproof =       1
% 0.42/0.84  
% 0.42/0.84  Symbols occurring in the translation:
% 0.42/0.84  
% 0.42/0.84  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.42/0.84  .  [1, 2]      (w:1, o:121, a:1, s:1, b:0), 
% 0.42/0.84  !  [4, 1]      (w:1, o:116, a:1, s:1, b:0), 
% 0.42/0.84  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.42/0.84  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.42/0.84  p11  [40, 2]      (w:1, o:146, a:1, s:1, b:0), 
% 0.42/0.84  p9  [42, 2]      (w:1, o:147, a:1, s:1, b:0), 
% 0.42/0.84  p7  [44, 2]      (w:1, o:149, a:1, s:1, b:0), 
% 0.42/0.84  p6  [46, 2]      (w:1, o:148, a:1, s:1, b:0), 
% 0.42/0.84  p4  [48, 2]      (w:1, o:161, a:1, s:1, b:0), 
% 0.42/0.84  p3  [50, 2]      (w:1, o:160, a:1, s:1, b:0), 
% 0.42/0.84  p25  [52, 2]      (w:1, o:155, a:1, s:1, b:0), 
% 0.42/0.84  p23  [54, 2]      (w:1, o:156, a:1, s:1, b:0), 
% 0.42/0.84  p21  [56, 2]      (w:1, o:157, a:1, s:1, b:0), 
% 0.42/0.84  p2  [58, 2]      (w:1, o:158, a:1, s:1, b:0), 
% 0.42/0.84  p19  [60, 2]      (w:1, o:151, a:1, s:1, b:0), 
% 0.42/0.84  p18  [62, 2]      (w:1, o:150, a:1, s:1, b:0), 
% 0.42/0.84  p16  [64, 2]      (w:1, o:152, a:1, s:1, b:0), 
% 0.42/0.84  p14  [66, 2]      (w:1, o:153, a:1, s:1, b:0), 
% 0.42/0.84  p12  [68, 2]      (w:1, o:154, a:1, s:1, b:0), 
% 0.42/0.84  c34  [69, 0]      (w:1, o:103, a:1, s:1, b:0), 
% 0.42/0.84  c35  [70, 0]      (w:1, o:104, a:1, s:1, b:0), 
% 0.42/0.84  c32  [71, 0]      (w:1, o:106, a:1, s:1, b:0), 
% 0.42/0.84  f5  [72, 2]      (w:1, o:162, a:1, s:1, b:0), 
% 0.42/0.84  c28  [73, 0]      (w:1, o:100, a:1, s:1, b:0), 
% 0.42/0.84  c29  [74, 0]      (w:1, o:101, a:1, s:1, b:0), 
% 0.42/0.84  c30  [75, 0]      (w:1, o:107, a:1, s:1, b:0), 
% 0.42/0.84  f13  [76, 2]      (w:1, o:163, a:1, s:1, b:0), 
% 0.42/0.84  f10  [77, 2]      (w:1, o:164, a:1, s:1, b:0), 
% 0.42/0.84  f8  [78, 2]      (w:1, o:165, a:1, s:1, b:0), 
% 0.42/0.84  c33  [79, 0]      (w:1, o:102, a:1, s:1, b:0), 
% 0.42/0.84  p27  [80, 2]      (w:1, o:159, a:1, s:1, b:0), 
% 0.42/0.84  c31  [81, 0]      (w:1, o:105, a:1, s:1, b:0), 
% 0.42/0.84  c36  [82, 0]      (w:1, o:108, a:1, s:1, b:0), 
% 0.42/0.84  f17  [83, 2]      (w:1, o:166, a:1, s:1, b:0), 
% 0.42/0.84  f15  [84, 2]      (w:1, o:167, a:1, s:1, b:0), 
% 0.42/0.84  f26  [131, 2]      (w:1, o:168, a:1, s:1, b:0), 
% 0.42/0.84  f22  [136, 2]      (w:1, o:169, a:1, s:1, b:0), 
% 0.42/0.84  f24  [141, 2]      (w:1, o:170, a:1, s:1, b:0), 
% 0.42/0.84  f20  [150, 2]      (w:1, o:171, a:1, s:1, b:0), 
% 0.42/0.84  c37  [168, 0]      (w:1, o:114, a:1, s:1, b:0), 
% 0.42/0.84  c38  [171, 0]      (w:1, o:115, a:1, s:1, b:0).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  Starting Search:
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  Bliksems!, er is een bewijs:
% 0.42/0.84  % SZS status Unsatisfiable
% 0.42/0.84  % SZS output start Refutation
% 0.42/0.84  
% 0.42/0.84  clause( 4, [ p4( X, X ) ] )
% 0.42/0.84  .
% 0.42/0.84  clause( 13, [ p14( X, X ) ] )
% 0.42/0.84  .
% 0.42/0.84  clause( 15, [ p4( c34, f5( c35, c32 ) ) ] )
% 0.42/0.84  .
% 0.42/0.84  clause( 16, [ p27( f8( f10( c28, f13( c29, c30 ) ), c32 ), c33 ) ] )
% 0.42/0.84  .
% 0.42/0.84  clause( 17, [ ~( p4( f5( c31, c33 ), f15( f17( c36, c31 ), c34 ) ) ) ] )
% 0.42/0.84  .
% 0.42/0.84  clause( 22, [ ~( p4( Z, X ) ), p4( X, Y ), ~( p4( Z, Y ) ) ] )
% 0.42/0.84  .
% 0.42/0.84  clause( 33, [ p4( f15( f17( c36, X ), f5( c35, Y ) ), f5( X, Y ) ) ] )
% 0.42/0.84  .
% 0.42/0.84  clause( 40, [ ~( p14( X, Z ) ), p4( f15( X, Y ), f15( Z, T ) ), ~( p4( Y, T
% 0.42/0.84     ) ) ] )
% 0.42/0.84  .
% 0.42/0.84  clause( 45, [ p4( f5( c31, X ), f5( c31, Y ) ), ~( p27( f8( f10( c28, f13( 
% 0.42/0.84    c29, c30 ) ), X ), Y ) ) ] )
% 0.42/0.84  .
% 0.42/0.84  clause( 59, [ p4( Y, X ), ~( p4( X, Y ) ) ] )
% 0.42/0.84  .
% 0.42/0.84  clause( 60, [ p4( f5( c35, c32 ), c34 ) ] )
% 0.42/0.84  .
% 0.42/0.84  clause( 66, [ p4( Z, f5( X, Y ) ), ~( p4( f15( f17( c36, X ), f5( c35, Y )
% 0.42/0.84     ), Z ) ) ] )
% 0.42/0.84  .
% 0.42/0.84  clause( 84, [ p4( f15( X, f5( c35, c32 ) ), f15( Y, c34 ) ), ~( p14( X, Y )
% 0.42/0.84     ) ] )
% 0.42/0.84  .
% 0.42/0.84  clause( 88, [ p4( f15( X, f5( c35, c32 ) ), f15( X, c34 ) ) ] )
% 0.42/0.84  .
% 0.42/0.84  clause( 107, [ p4( f5( c31, c32 ), f5( c31, c33 ) ) ] )
% 0.42/0.84  .
% 0.42/0.84  clause( 110, [ p4( X, f5( c31, c33 ) ), ~( p4( f5( c31, c32 ), X ) ) ] )
% 0.42/0.84  .
% 0.42/0.84  clause( 126, [ p4( f15( f17( c36, X ), c34 ), f5( X, c32 ) ) ] )
% 0.42/0.84  .
% 0.42/0.84  clause( 128, [ p4( f5( X, c32 ), f15( f17( c36, X ), c34 ) ) ] )
% 0.42/0.84  .
% 0.42/0.84  clause( 130, [ p4( f15( f17( c36, c31 ), c34 ), f5( c31, c33 ) ) ] )
% 0.42/0.84  .
% 0.42/0.84  clause( 134, [] )
% 0.42/0.84  .
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  % SZS output end Refutation
% 0.42/0.84  found a proof!
% 0.42/0.84  
% 0.42/0.84  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/0.84  
% 0.42/0.84  initialclauses(
% 0.42/0.84  [ clause( 136, [ p11( X, X ) ] )
% 0.42/0.84  , clause( 137, [ p9( X, X ) ] )
% 0.42/0.84  , clause( 138, [ p7( X, X ) ] )
% 0.42/0.84  , clause( 139, [ p6( X, X ) ] )
% 0.42/0.84  , clause( 140, [ p4( X, X ) ] )
% 0.42/0.84  , clause( 141, [ p3( X, X ) ] )
% 0.42/0.84  , clause( 142, [ p25( X, X ) ] )
% 0.42/0.84  , clause( 143, [ p23( X, X ) ] )
% 0.42/0.84  , clause( 144, [ p21( X, X ) ] )
% 0.42/0.84  , clause( 145, [ p2( X, X ) ] )
% 0.42/0.84  , clause( 146, [ p19( X, X ) ] )
% 0.42/0.84  , clause( 147, [ p18( X, X ) ] )
% 0.42/0.84  , clause( 148, [ p16( X, X ) ] )
% 0.42/0.84  , clause( 149, [ p14( X, X ) ] )
% 0.42/0.84  , clause( 150, [ p12( X, X ) ] )
% 0.42/0.84  , clause( 151, [ p4( c34, f5( c35, c32 ) ) ] )
% 0.42/0.84  , clause( 152, [ p27( f8( f10( c28, f13( c29, c30 ) ), c32 ), c33 ) ] )
% 0.42/0.84  , clause( 153, [ ~( p4( f5( c31, c33 ), f15( f17( c36, c31 ), c34 ) ) ) ]
% 0.42/0.84     )
% 0.42/0.84  , clause( 154, [ p11( X, Y ), ~( p11( Z, X ) ), ~( p11( Z, Y ) ) ] )
% 0.42/0.84  , clause( 155, [ p9( X, Y ), ~( p9( Z, X ) ), ~( p9( Z, Y ) ) ] )
% 0.42/0.84  , clause( 156, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 0.42/0.84  , clause( 157, [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ] )
% 0.42/0.84  , clause( 158, [ p4( X, Y ), ~( p4( Z, X ) ), ~( p4( Z, Y ) ) ] )
% 0.42/0.84  , clause( 159, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 0.42/0.84  , clause( 160, [ p25( X, Y ), ~( p25( Z, X ) ), ~( p25( Z, Y ) ) ] )
% 0.42/0.84  , clause( 161, [ p23( X, Y ), ~( p23( Z, X ) ), ~( p23( Z, Y ) ) ] )
% 0.42/0.84  , clause( 162, [ p21( X, Y ), ~( p21( Z, X ) ), ~( p21( Z, Y ) ) ] )
% 0.42/0.84  , clause( 163, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.42/0.84  , clause( 164, [ p19( X, Y ), ~( p19( Z, X ) ), ~( p19( Z, Y ) ) ] )
% 0.42/0.84  , clause( 165, [ p18( X, Y ), ~( p18( Z, X ) ), ~( p18( Z, Y ) ) ] )
% 0.42/0.84  , clause( 166, [ p16( X, Y ), ~( p16( Z, X ) ), ~( p16( Z, Y ) ) ] )
% 0.42/0.84  , clause( 167, [ p14( X, Y ), ~( p14( Z, X ) ), ~( p14( Z, Y ) ) ] )
% 0.42/0.84  , clause( 168, [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ] )
% 0.42/0.84  , clause( 169, [ p4( f15( f17( c36, X ), f5( c35, Y ) ), f5( X, Y ) ) ] )
% 0.42/0.84  , clause( 170, [ p27( X, Y ), ~( p3( Z, Y ) ), ~( p7( T, X ) ), ~( p27( T, 
% 0.42/0.84    Z ) ) ] )
% 0.42/0.84  , clause( 171, [ p7( f8( X, Y ), f8( Z, T ) ), ~( p3( Y, T ) ), ~( p6( X, Z
% 0.42/0.84     ) ) ] )
% 0.42/0.84  , clause( 172, [ p14( f17( X, Y ), f17( Z, T ) ), ~( p16( X, Z ) ), ~( p2( 
% 0.42/0.84    Y, T ) ) ] )
% 0.42/0.84  , clause( 173, [ p18( f26( X, Y ), f26( Z, T ) ), ~( p25( X, Z ) ), ~( p3( 
% 0.42/0.84    Y, T ) ) ] )
% 0.42/0.84  , clause( 174, [ p19( f22( X, Y ), f22( Z, T ) ), ~( p19( Y, T ) ), ~( p21( 
% 0.42/0.84    X, Z ) ) ] )
% 0.42/0.84  , clause( 175, [ p21( f24( X, Y ), f24( Z, T ) ), ~( p14( Y, T ) ), ~( p23( 
% 0.42/0.84    X, Z ) ) ] )
% 0.42/0.84  , clause( 176, [ p4( f15( X, Y ), f15( Z, T ) ), ~( p14( X, Z ) ), ~( p4( Y
% 0.42/0.84    , T ) ) ] )
% 0.42/0.84  , clause( 177, [ p4( f20( X, Y ), f20( Z, T ) ), ~( p18( X, Z ) ), ~( p19( 
% 0.42/0.84    Y, T ) ) ] )
% 0.42/0.84  , clause( 178, [ p4( f5( X, Y ), f5( Z, T ) ), ~( p2( X, Z ) ), ~( p3( Y, T
% 0.42/0.84     ) ) ] )
% 0.42/0.84  , clause( 179, [ p6( f10( X, Y ), f10( Z, T ) ), ~( p6( Y, T ) ), ~( p9( X
% 0.42/0.84    , Z ) ) ] )
% 0.42/0.84  , clause( 180, [ p6( f13( X, Y ), f13( Z, T ) ), ~( p11( X, Z ) ), ~( p12( 
% 0.42/0.84    Y, T ) ) ] )
% 0.42/0.84  , clause( 181, [ p4( f5( c31, X ), f5( c31, Y ) ), ~( p27( f8( f10( c28, 
% 0.42/0.84    f13( c29, c30 ) ), X ), Y ) ) ] )
% 0.42/0.84  , clause( 182, [ p4( f15( f17( c36, X ), f20( f26( c37, Y ), Z ) ), f20( 
% 0.42/0.84    f26( c37, Y ), f22( f24( c38, f17( c36, X ) ), Z ) ) ) ] )
% 0.42/0.84  ] ).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  subsumption(
% 0.42/0.84  clause( 4, [ p4( X, X ) ] )
% 0.42/0.84  , clause( 140, [ p4( X, X ) ] )
% 0.42/0.84  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  subsumption(
% 0.42/0.84  clause( 13, [ p14( X, X ) ] )
% 0.42/0.84  , clause( 149, [ p14( X, X ) ] )
% 0.42/0.84  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  subsumption(
% 0.42/0.84  clause( 15, [ p4( c34, f5( c35, c32 ) ) ] )
% 0.42/0.84  , clause( 151, [ p4( c34, f5( c35, c32 ) ) ] )
% 0.42/0.84  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  subsumption(
% 0.42/0.84  clause( 16, [ p27( f8( f10( c28, f13( c29, c30 ) ), c32 ), c33 ) ] )
% 0.42/0.84  , clause( 152, [ p27( f8( f10( c28, f13( c29, c30 ) ), c32 ), c33 ) ] )
% 0.42/0.84  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  subsumption(
% 0.42/0.84  clause( 17, [ ~( p4( f5( c31, c33 ), f15( f17( c36, c31 ), c34 ) ) ) ] )
% 0.42/0.84  , clause( 153, [ ~( p4( f5( c31, c33 ), f15( f17( c36, c31 ), c34 ) ) ) ]
% 0.42/0.84     )
% 0.42/0.84  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  subsumption(
% 0.42/0.84  clause( 22, [ ~( p4( Z, X ) ), p4( X, Y ), ~( p4( Z, Y ) ) ] )
% 0.42/0.84  , clause( 158, [ p4( X, Y ), ~( p4( Z, X ) ), ~( p4( Z, Y ) ) ] )
% 0.42/0.84  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.42/0.84    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  subsumption(
% 0.42/0.84  clause( 33, [ p4( f15( f17( c36, X ), f5( c35, Y ) ), f5( X, Y ) ) ] )
% 0.42/0.84  , clause( 169, [ p4( f15( f17( c36, X ), f5( c35, Y ) ), f5( X, Y ) ) ] )
% 0.42/0.84  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/0.84     )] ) ).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  subsumption(
% 0.42/0.84  clause( 40, [ ~( p14( X, Z ) ), p4( f15( X, Y ), f15( Z, T ) ), ~( p4( Y, T
% 0.42/0.84     ) ) ] )
% 0.42/0.84  , clause( 176, [ p4( f15( X, Y ), f15( Z, T ) ), ~( p14( X, Z ) ), ~( p4( Y
% 0.42/0.84    , T ) ) ] )
% 0.42/0.84  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.42/0.84    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  subsumption(
% 0.42/0.84  clause( 45, [ p4( f5( c31, X ), f5( c31, Y ) ), ~( p27( f8( f10( c28, f13( 
% 0.42/0.84    c29, c30 ) ), X ), Y ) ) ] )
% 0.42/0.84  , clause( 181, [ p4( f5( c31, X ), f5( c31, Y ) ), ~( p27( f8( f10( c28, 
% 0.42/0.84    f13( c29, c30 ) ), X ), Y ) ) ] )
% 0.42/0.84  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.42/0.84     ), ==>( 1, 1 )] ) ).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  resolution(
% 0.42/0.84  clause( 234, [ ~( p4( X, Y ) ), p4( Y, X ) ] )
% 0.42/0.84  , clause( 22, [ ~( p4( Z, X ) ), p4( X, Y ), ~( p4( Z, Y ) ) ] )
% 0.42/0.84  , 2, clause( 4, [ p4( X, X ) ] )
% 0.42/0.84  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ), 
% 0.42/0.84    substitution( 1, [ :=( X, X )] )).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  subsumption(
% 0.42/0.84  clause( 59, [ p4( Y, X ), ~( p4( X, Y ) ) ] )
% 0.42/0.84  , clause( 234, [ ~( p4( X, Y ) ), p4( Y, X ) ] )
% 0.42/0.84  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.42/0.84     ), ==>( 1, 0 )] ) ).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  resolution(
% 0.42/0.84  clause( 235, [ p4( f5( c35, c32 ), c34 ) ] )
% 0.42/0.84  , clause( 59, [ p4( Y, X ), ~( p4( X, Y ) ) ] )
% 0.42/0.84  , 1, clause( 15, [ p4( c34, f5( c35, c32 ) ) ] )
% 0.42/0.84  , 0, substitution( 0, [ :=( X, c34 ), :=( Y, f5( c35, c32 ) )] ), 
% 0.42/0.84    substitution( 1, [] )).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  subsumption(
% 0.42/0.84  clause( 60, [ p4( f5( c35, c32 ), c34 ) ] )
% 0.42/0.84  , clause( 235, [ p4( f5( c35, c32 ), c34 ) ] )
% 0.42/0.84  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  resolution(
% 0.42/0.84  clause( 237, [ ~( p4( f15( f17( c36, X ), f5( c35, Y ) ), Z ) ), p4( Z, f5( 
% 0.42/0.84    X, Y ) ) ] )
% 0.42/0.84  , clause( 22, [ ~( p4( Z, X ) ), p4( X, Y ), ~( p4( Z, Y ) ) ] )
% 0.42/0.84  , 2, clause( 33, [ p4( f15( f17( c36, X ), f5( c35, Y ) ), f5( X, Y ) ) ]
% 0.42/0.84     )
% 0.42/0.84  , 0, substitution( 0, [ :=( X, Z ), :=( Y, f5( X, Y ) ), :=( Z, f15( f17( 
% 0.42/0.84    c36, X ), f5( c35, Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 0.42/0.84    ).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  subsumption(
% 0.42/0.84  clause( 66, [ p4( Z, f5( X, Y ) ), ~( p4( f15( f17( c36, X ), f5( c35, Y )
% 0.42/0.84     ), Z ) ) ] )
% 0.42/0.84  , clause( 237, [ ~( p4( f15( f17( c36, X ), f5( c35, Y ) ), Z ) ), p4( Z, 
% 0.42/0.84    f5( X, Y ) ) ] )
% 0.42/0.84  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.42/0.84    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  resolution(
% 0.42/0.84  clause( 238, [ ~( p14( X, Y ) ), p4( f15( X, f5( c35, c32 ) ), f15( Y, c34
% 0.42/0.84     ) ) ] )
% 0.42/0.84  , clause( 40, [ ~( p14( X, Z ) ), p4( f15( X, Y ), f15( Z, T ) ), ~( p4( Y
% 0.42/0.84    , T ) ) ] )
% 0.42/0.84  , 2, clause( 60, [ p4( f5( c35, c32 ), c34 ) ] )
% 0.42/0.84  , 0, substitution( 0, [ :=( X, X ), :=( Y, f5( c35, c32 ) ), :=( Z, Y ), 
% 0.42/0.84    :=( T, c34 )] ), substitution( 1, [] )).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  subsumption(
% 0.42/0.84  clause( 84, [ p4( f15( X, f5( c35, c32 ) ), f15( Y, c34 ) ), ~( p14( X, Y )
% 0.42/0.84     ) ] )
% 0.42/0.84  , clause( 238, [ ~( p14( X, Y ) ), p4( f15( X, f5( c35, c32 ) ), f15( Y, 
% 0.42/0.84    c34 ) ) ] )
% 0.42/0.84  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.42/0.84     ), ==>( 1, 0 )] ) ).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  resolution(
% 0.42/0.84  clause( 239, [ p4( f15( X, f5( c35, c32 ) ), f15( X, c34 ) ) ] )
% 0.42/0.84  , clause( 84, [ p4( f15( X, f5( c35, c32 ) ), f15( Y, c34 ) ), ~( p14( X, Y
% 0.42/0.84     ) ) ] )
% 0.42/0.84  , 1, clause( 13, [ p14( X, X ) ] )
% 0.42/0.84  , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.42/0.84    , X )] )).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  subsumption(
% 0.42/0.84  clause( 88, [ p4( f15( X, f5( c35, c32 ) ), f15( X, c34 ) ) ] )
% 0.42/0.84  , clause( 239, [ p4( f15( X, f5( c35, c32 ) ), f15( X, c34 ) ) ] )
% 0.42/0.84  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  resolution(
% 0.42/0.84  clause( 240, [ p4( f5( c31, c32 ), f5( c31, c33 ) ) ] )
% 0.42/0.84  , clause( 45, [ p4( f5( c31, X ), f5( c31, Y ) ), ~( p27( f8( f10( c28, f13( 
% 0.42/0.84    c29, c30 ) ), X ), Y ) ) ] )
% 0.42/0.84  , 1, clause( 16, [ p27( f8( f10( c28, f13( c29, c30 ) ), c32 ), c33 ) ] )
% 0.42/0.84  , 0, substitution( 0, [ :=( X, c32 ), :=( Y, c33 )] ), substitution( 1, [] )
% 0.42/0.84    ).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  subsumption(
% 0.42/0.84  clause( 107, [ p4( f5( c31, c32 ), f5( c31, c33 ) ) ] )
% 0.42/0.84  , clause( 240, [ p4( f5( c31, c32 ), f5( c31, c33 ) ) ] )
% 0.42/0.84  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  resolution(
% 0.42/0.84  clause( 242, [ ~( p4( f5( c31, c32 ), X ) ), p4( X, f5( c31, c33 ) ) ] )
% 0.42/0.84  , clause( 22, [ ~( p4( Z, X ) ), p4( X, Y ), ~( p4( Z, Y ) ) ] )
% 0.42/0.84  , 2, clause( 107, [ p4( f5( c31, c32 ), f5( c31, c33 ) ) ] )
% 0.42/0.84  , 0, substitution( 0, [ :=( X, X ), :=( Y, f5( c31, c33 ) ), :=( Z, f5( c31
% 0.42/0.84    , c32 ) )] ), substitution( 1, [] )).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  subsumption(
% 0.42/0.84  clause( 110, [ p4( X, f5( c31, c33 ) ), ~( p4( f5( c31, c32 ), X ) ) ] )
% 0.42/0.84  , clause( 242, [ ~( p4( f5( c31, c32 ), X ) ), p4( X, f5( c31, c33 ) ) ] )
% 0.42/0.84  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.42/0.84    0 )] ) ).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  resolution(
% 0.42/0.84  clause( 243, [ p4( f15( f17( c36, X ), c34 ), f5( X, c32 ) ) ] )
% 0.42/0.84  , clause( 66, [ p4( Z, f5( X, Y ) ), ~( p4( f15( f17( c36, X ), f5( c35, Y
% 0.42/0.84     ) ), Z ) ) ] )
% 0.42/0.84  , 1, clause( 88, [ p4( f15( X, f5( c35, c32 ) ), f15( X, c34 ) ) ] )
% 0.42/0.84  , 0, substitution( 0, [ :=( X, X ), :=( Y, c32 ), :=( Z, f15( f17( c36, X )
% 0.42/0.84    , c34 ) )] ), substitution( 1, [ :=( X, f17( c36, X ) )] )).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  subsumption(
% 0.42/0.84  clause( 126, [ p4( f15( f17( c36, X ), c34 ), f5( X, c32 ) ) ] )
% 0.42/0.84  , clause( 243, [ p4( f15( f17( c36, X ), c34 ), f5( X, c32 ) ) ] )
% 0.42/0.84  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  resolution(
% 0.42/0.84  clause( 244, [ p4( f5( X, c32 ), f15( f17( c36, X ), c34 ) ) ] )
% 0.42/0.84  , clause( 59, [ p4( Y, X ), ~( p4( X, Y ) ) ] )
% 0.42/0.84  , 1, clause( 126, [ p4( f15( f17( c36, X ), c34 ), f5( X, c32 ) ) ] )
% 0.42/0.84  , 0, substitution( 0, [ :=( X, f15( f17( c36, X ), c34 ) ), :=( Y, f5( X, 
% 0.42/0.84    c32 ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  subsumption(
% 0.42/0.84  clause( 128, [ p4( f5( X, c32 ), f15( f17( c36, X ), c34 ) ) ] )
% 0.42/0.84  , clause( 244, [ p4( f5( X, c32 ), f15( f17( c36, X ), c34 ) ) ] )
% 0.42/0.84  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  resolution(
% 0.42/0.84  clause( 245, [ p4( f15( f17( c36, c31 ), c34 ), f5( c31, c33 ) ) ] )
% 0.42/0.84  , clause( 110, [ p4( X, f5( c31, c33 ) ), ~( p4( f5( c31, c32 ), X ) ) ] )
% 0.42/0.84  , 1, clause( 128, [ p4( f5( X, c32 ), f15( f17( c36, X ), c34 ) ) ] )
% 0.42/0.84  , 0, substitution( 0, [ :=( X, f15( f17( c36, c31 ), c34 ) )] ), 
% 0.42/0.84    substitution( 1, [ :=( X, c31 )] )).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  subsumption(
% 0.42/0.84  clause( 130, [ p4( f15( f17( c36, c31 ), c34 ), f5( c31, c33 ) ) ] )
% 0.42/0.84  , clause( 245, [ p4( f15( f17( c36, c31 ), c34 ), f5( c31, c33 ) ) ] )
% 0.42/0.84  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  resolution(
% 0.42/0.84  clause( 246, [ p4( f5( c31, c33 ), f15( f17( c36, c31 ), c34 ) ) ] )
% 0.42/0.84  , clause( 59, [ p4( Y, X ), ~( p4( X, Y ) ) ] )
% 0.42/0.84  , 1, clause( 130, [ p4( f15( f17( c36, c31 ), c34 ), f5( c31, c33 ) ) ] )
% 0.42/0.84  , 0, substitution( 0, [ :=( X, f15( f17( c36, c31 ), c34 ) ), :=( Y, f5( 
% 0.42/0.84    c31, c33 ) )] ), substitution( 1, [] )).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  resolution(
% 0.42/0.84  clause( 247, [] )
% 0.42/0.84  , clause( 17, [ ~( p4( f5( c31, c33 ), f15( f17( c36, c31 ), c34 ) ) ) ] )
% 0.42/0.84  , 0, clause( 246, [ p4( f5( c31, c33 ), f15( f17( c36, c31 ), c34 ) ) ] )
% 0.42/0.84  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  subsumption(
% 0.42/0.84  clause( 134, [] )
% 0.42/0.84  , clause( 247, [] )
% 0.42/0.84  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  end.
% 0.42/0.84  
% 0.42/0.84  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.42/0.84  
% 0.42/0.84  Memory use:
% 0.42/0.84  
% 0.42/0.84  space for terms:        2692
% 0.42/0.84  space for clauses:      9758
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  clauses generated:      209
% 0.42/0.84  clauses kept:           135
% 0.42/0.84  clauses selected:       99
% 0.42/0.84  clauses deleted:        0
% 0.42/0.84  clauses inuse deleted:  0
% 0.42/0.84  
% 0.42/0.84  subsentry:          194
% 0.42/0.84  literals s-matched: 116
% 0.42/0.84  literals matched:   116
% 0.42/0.84  full subsumption:   0
% 0.42/0.84  
% 0.42/0.84  checksum:           -374435344
% 0.42/0.84  
% 0.42/0.84  
% 0.42/0.84  Bliksem ended
%------------------------------------------------------------------------------