TSTP Solution File: SYN569-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN569-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n018.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 02:53:02 EDT 2022

% Result   : Unsatisfiable 0.76s 1.55s
% Output   : Refutation 0.76s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYN569-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n018.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 21:15:59 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.76/1.54  *** allocated 10000 integers for termspace/termends
% 0.76/1.54  *** allocated 10000 integers for clauses
% 0.76/1.54  *** allocated 10000 integers for justifications
% 0.76/1.54  Bliksem 1.12
% 0.76/1.54  
% 0.76/1.54  
% 0.76/1.54  Automatic Strategy Selection
% 0.76/1.54  
% 0.76/1.54  Clauses:
% 0.76/1.54  [
% 0.76/1.54     [ p2( X, X ) ],
% 0.76/1.54     [ p6( X, X ) ],
% 0.76/1.54     [ p8( c14, c12 ) ],
% 0.76/1.54     [ p8( c11, c12 ) ],
% 0.76/1.54     [ p8( c11, c14 ) ],
% 0.76/1.54     [ p9( c13, c15, c14 ) ],
% 0.76/1.54     [ p10( X, Y ), ~( p8( X, Y ) ) ],
% 0.76/1.54     [ p2( f3( X ), f3( Y ) ), ~( p2( X, Y ) ) ],
% 0.76/1.54     [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ],
% 0.76/1.54     [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.76/1.54     [ p2( X, Y ), ~( p9( Z, X, T ) ), ~( p9( Z, Y, T ) ) ],
% 0.76/1.54     [ p9( c13, f3( X ), X ), ~( p10( X, c12 ) ), ~( p10( c11, X ) ) ],
% 0.76/1.54     [ p10( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p10( Z, T ) ) ],
% 0.76/1.54     [ p8( X, Y ), ~( p2( Z, Y ) ), ~( p8( T, Z ) ), ~( p2( T, X ) ) ],
% 0.76/1.54     [ p2( f5( f7( c13, c12 ), f7( c13, c11 ) ), f4( f5( c12, c11 ), c15 ) )
% 0.76/1.54     ],
% 0.76/1.54     [ p2( f4( X, Y ), f4( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ],
% 0.76/1.54     [ p2( f7( X, Y ), f7( Z, T ) ), ~( p2( Y, T ) ), ~( p6( X, Z ) ) ],
% 0.76/1.54     [ p2( f5( X, Y ), f5( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ],
% 0.76/1.54     [ p9( X, Y, Z ), ~( p2( T, Y ) ), ~( p2( U, Z ) ), ~( p6( W, X ) ), ~( 
% 0.76/1.54    p9( W, T, U ) ) ],
% 0.76/1.54     [ ~( p8( X, c12 ) ), ~( p8( c11, X ) ), ~( p2( f5( f7( c13, c12 ), f7( 
% 0.76/1.54    c13, c11 ) ), f4( f5( c12, c11 ), f3( X ) ) ) ) ]
% 0.76/1.54  ] .
% 0.76/1.54  
% 0.76/1.54  
% 0.76/1.54  percentage equality = 0.000000, percentage horn = 1.000000
% 0.76/1.54  This is a near-Horn, non-equality  problem
% 0.76/1.54  
% 0.76/1.54  
% 0.76/1.54  Options Used:
% 0.76/1.54  
% 0.76/1.54  useres =            1
% 0.76/1.54  useparamod =        0
% 0.76/1.54  useeqrefl =         0
% 0.76/1.54  useeqfact =         0
% 0.76/1.54  usefactor =         1
% 0.76/1.54  usesimpsplitting =  0
% 0.76/1.54  usesimpdemod =      0
% 0.76/1.54  usesimpres =        4
% 0.76/1.54  
% 0.76/1.54  resimpinuse      =  1000
% 0.76/1.54  resimpclauses =     20000
% 0.76/1.54  substype =          standard
% 0.76/1.54  backwardsubs =      1
% 0.76/1.54  selectoldest =      5
% 0.76/1.54  
% 0.76/1.54  litorderings [0] =  split
% 0.76/1.54  litorderings [1] =  liftord
% 0.76/1.54  
% 0.76/1.54  termordering =      none
% 0.76/1.54  
% 0.76/1.54  litapriori =        1
% 0.76/1.54  termapriori =       0
% 0.76/1.54  litaposteriori =    0
% 0.76/1.54  termaposteriori =   0
% 0.76/1.54  demodaposteriori =  0
% 0.76/1.54  ordereqreflfact =   0
% 0.76/1.54  
% 0.76/1.54  litselect =         negative
% 0.76/1.54  
% 0.76/1.54  maxweight =         30000
% 0.76/1.54  maxdepth =          30000
% 0.76/1.54  maxlength =         115
% 0.76/1.54  maxnrvars =         195
% 0.76/1.54  excuselevel =       0
% 0.76/1.54  increasemaxweight = 0
% 0.76/1.54  
% 0.76/1.54  maxselected =       10000000
% 0.76/1.54  maxnrclauses =      10000000
% 0.76/1.54  
% 0.76/1.54  showgenerated =    0
% 0.76/1.54  showkept =         0
% 0.76/1.54  showselected =     0
% 0.76/1.54  showdeleted =      0
% 0.76/1.54  showresimp =       1
% 0.76/1.54  showstatus =       2000
% 0.76/1.54  
% 0.76/1.54  prologoutput =     1
% 0.76/1.54  nrgoals =          5000000
% 0.76/1.54  totalproof =       1
% 0.76/1.54  
% 0.76/1.54  Symbols occurring in the translation:
% 0.76/1.54  
% 0.76/1.54  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.76/1.54  .  [1, 2]      (w:1, o:62, a:1, s:1, b:0), 
% 0.76/1.54  !  [4, 1]      (w:1, o:56, a:1, s:1, b:0), 
% 0.76/1.54  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.76/1.54  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.76/1.54  p2  [40, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 0.76/1.54  p6  [42, 2]      (w:1, o:89, a:1, s:1, b:0), 
% 0.76/1.54  c14  [43, 0]      (w:1, o:45, a:1, s:1, b:0), 
% 0.76/1.54  c12  [44, 0]      (w:1, o:47, a:1, s:1, b:0), 
% 0.76/1.54  p8  [45, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 0.76/1.54  c11  [46, 0]      (w:1, o:46, a:1, s:1, b:0), 
% 0.76/1.54  c13  [47, 0]      (w:1, o:44, a:1, s:1, b:0), 
% 0.76/1.54  c15  [48, 0]      (w:1, o:48, a:1, s:1, b:0), 
% 0.76/1.54  p9  [49, 3]      (w:1, o:94, a:1, s:1, b:0), 
% 0.76/1.54  p10  [52, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 0.76/1.54  f3  [54, 1]      (w:1, o:61, a:1, s:1, b:0), 
% 0.76/1.54  f7  [73, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 0.76/1.54  f5  [74, 2]      (w:1, o:93, a:1, s:1, b:0), 
% 0.76/1.54  f4  [75, 2]      (w:1, o:92, a:1, s:1, b:0).
% 0.76/1.54  
% 0.76/1.54  
% 0.76/1.54  Starting Search:
% 0.76/1.54  
% 0.76/1.54  Resimplifying inuse:
% 0.76/1.54  Done
% 0.76/1.54  
% 0.76/1.54  
% 0.76/1.54  Intermediate Status:
% 0.76/1.54  Generated:    2185
% 0.76/1.54  Kept:         2023
% 0.76/1.54  Inuse:        188
% 0.76/1.54  Deleted:      0
% 0.76/1.54  Deletedinuse: 0
% 0.76/1.54  
% 0.76/1.54  Resimplifying inuse:
% 0.76/1.54  Done
% 0.76/1.54  
% 0.76/1.54  Resimplifying inuse:
% 0.76/1.54  Done
% 0.76/1.54  
% 0.76/1.54  
% 0.76/1.54  Intermediate Status:
% 0.76/1.54  Generated:    4395
% 0.76/1.54  Kept:         4080
% 0.76/1.54  Inuse:        262
% 0.76/1.54  Deleted:      36
% 0.76/1.54  Deletedinuse: 12
% 0.76/1.54  
% 0.76/1.54  Resimplifying inuse:
% 0.76/1.54  Done
% 0.76/1.54  
% 0.76/1.54  Resimplifying inuse:
% 0.76/1.54  Done
% 0.76/1.54  
% 0.76/1.54  
% 0.76/1.54  Intermediate Status:
% 0.76/1.54  Generated:    6482
% 0.76/1.54  Kept:         6110
% 0.76/1.54  Inuse:        313
% 0.76/1.54  Deleted:      40
% 0.76/1.54  Deletedinuse: 12
% 0.76/1.54  
% 0.76/1.54  Resimplifying inuse:
% 0.76/1.54  Done
% 0.76/1.54  
% 0.76/1.54  Resimplifying inuse:
% 0.76/1.54  Done
% 0.76/1.54  
% 0.76/1.54  
% 0.76/1.54  Intermediate Status:
% 0.76/1.54  Generated:    8608
% 0.76/1.54  Kept:         8157
% 0.76/1.54  Inuse:        422
% 0.76/1.54  Deleted:      56
% 0.76/1.54  Deletedinuse: 12
% 0.76/1.54  
% 0.76/1.54  Resimplifying inuse:
% 0.76/1.54  Done
% 0.76/1.54  
% 0.76/1.54  Resimplifying inuse:
% 0.76/1.54  Done
% 0.76/1.54  
% 0.76/1.54  
% 0.76/1.54  Intermediate Status:
% 0.76/1.54  Generated:    10674
% 0.76/1.54  Kept:         10170
% 0.76/1.54  Inuse:        449
% 0.76/1.54  Deleted:      56
% 0.76/1.55  Deletedinuse: 12
% 0.76/1.55  
% 0.76/1.55  Resimplifying inuse:
% 0.76/1.55  Done
% 0.76/1.55  
% 0.76/1.55  Resimplifying inuse:
% 0.76/1.55  Done
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  Intermediate Status:
% 0.76/1.55  Generated:    12782
% 0.76/1.55  Kept:         12215
% 0.76/1.55  Inuse:        480
% 0.76/1.55  Deleted:      56
% 0.76/1.55  Deletedinuse: 12
% 0.76/1.55  
% 0.76/1.55  Resimplifying inuse:
% 0.76/1.55  Done
% 0.76/1.55  
% 0.76/1.55  Resimplifying inuse:
% 0.76/1.55  Done
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  Intermediate Status:
% 0.76/1.55  Generated:    14971
% 0.76/1.55  Kept:         14373
% 0.76/1.55  Inuse:        504
% 0.76/1.55  Deleted:      64
% 0.76/1.55  Deletedinuse: 12
% 0.76/1.55  
% 0.76/1.55  Resimplifying inuse:
% 0.76/1.55  Done
% 0.76/1.55  
% 0.76/1.55  Resimplifying inuse:
% 0.76/1.55  Done
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  Intermediate Status:
% 0.76/1.55  Generated:    17053
% 0.76/1.55  Kept:         16423
% 0.76/1.55  Inuse:        537
% 0.76/1.55  Deleted:      65
% 0.76/1.55  Deletedinuse: 13
% 0.76/1.55  
% 0.76/1.55  Resimplifying inuse:
% 0.76/1.55  Done
% 0.76/1.55  
% 0.76/1.55  Resimplifying inuse:
% 0.76/1.55  Done
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  Intermediate Status:
% 0.76/1.55  Generated:    19115
% 0.76/1.55  Kept:         18456
% 0.76/1.55  Inuse:        559
% 0.76/1.55  Deleted:      65
% 0.76/1.55  Deletedinuse: 13
% 0.76/1.55  
% 0.76/1.55  Resimplifying inuse:
% 0.76/1.55  Done
% 0.76/1.55  
% 0.76/1.55  Resimplifying inuse:
% 0.76/1.55  Done
% 0.76/1.55  
% 0.76/1.55  Resimplifying clauses:
% 0.76/1.55  Done
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  Intermediate Status:
% 0.76/1.55  Generated:    21201
% 0.76/1.55  Kept:         20516
% 0.76/1.55  Inuse:        585
% 0.76/1.55  Deleted:      385
% 0.76/1.55  Deletedinuse: 13
% 0.76/1.55  
% 0.76/1.55  Resimplifying inuse:
% 0.76/1.55  Done
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  Bliksems!, er is een bewijs:
% 0.76/1.55  % SZS status Unsatisfiable
% 0.76/1.55  % SZS output start Refutation
% 0.76/1.55  
% 0.76/1.55  clause( 0, [ p2( X, X ) ] )
% 0.76/1.55  .
% 0.76/1.55  clause( 2, [ p8( c14, c12 ) ] )
% 0.76/1.55  .
% 0.76/1.55  clause( 4, [ p8( c11, c14 ) ] )
% 0.76/1.55  .
% 0.76/1.55  clause( 5, [ p9( c13, c15, c14 ) ] )
% 0.76/1.55  .
% 0.76/1.55  clause( 6, [ p10( X, Y ), ~( p8( X, Y ) ) ] )
% 0.76/1.55  .
% 0.76/1.55  clause( 9, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.76/1.55  .
% 0.76/1.55  clause( 10, [ p2( X, Y ), ~( p9( Z, X, T ) ), ~( p9( Z, Y, T ) ) ] )
% 0.76/1.55  .
% 0.76/1.55  clause( 11, [ p9( c13, f3( X ), X ), ~( p10( c11, X ) ), ~( p10( X, c12 ) )
% 0.76/1.55     ] )
% 0.76/1.55  .
% 0.76/1.55  clause( 14, [ p2( f5( f7( c13, c12 ), f7( c13, c11 ) ), f4( f5( c12, c11 )
% 0.76/1.55    , c15 ) ) ] )
% 0.76/1.55  .
% 0.76/1.55  clause( 15, [ ~( p2( X, Z ) ), p2( f4( X, Y ), f4( Z, T ) ), ~( p2( Y, T )
% 0.76/1.55     ) ] )
% 0.76/1.55  .
% 0.76/1.55  clause( 19, [ ~( p8( c11, X ) ), ~( p8( X, c12 ) ), ~( p2( f5( f7( c13, c12
% 0.76/1.55     ), f7( c13, c11 ) ), f4( f5( c12, c11 ), f3( X ) ) ) ) ] )
% 0.76/1.55  .
% 0.76/1.55  clause( 25, [ p10( c14, c12 ) ] )
% 0.76/1.55  .
% 0.76/1.55  clause( 27, [ p10( c11, c14 ) ] )
% 0.76/1.55  .
% 0.76/1.55  clause( 28, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.76/1.55  .
% 0.76/1.55  clause( 30, [ p2( X, c15 ), ~( p9( c13, X, c14 ) ) ] )
% 0.76/1.55  .
% 0.76/1.55  clause( 32, [ p9( c13, f3( c14 ), c14 ) ] )
% 0.76/1.55  .
% 0.76/1.55  clause( 33, [ p2( f3( c14 ), c15 ) ] )
% 0.76/1.55  .
% 0.76/1.55  clause( 38, [ p2( c15, f3( c14 ) ) ] )
% 0.76/1.55  .
% 0.76/1.55  clause( 85, [ p2( f4( f5( c12, c11 ), c15 ), f5( f7( c13, c12 ), f7( c13, 
% 0.76/1.55    c11 ) ) ) ] )
% 0.76/1.55  .
% 0.76/1.55  clause( 101, [ p2( f4( X, c15 ), f4( Y, f3( c14 ) ) ), ~( p2( X, Y ) ) ] )
% 0.76/1.55  .
% 0.76/1.55  clause( 2170, [ p2( f4( X, c15 ), f4( X, f3( c14 ) ) ) ] )
% 0.76/1.55  .
% 0.76/1.55  clause( 2203, [ p2( Y, f4( X, f3( c14 ) ) ), ~( p2( f4( X, c15 ), Y ) ) ]
% 0.76/1.55     )
% 0.76/1.55  .
% 0.76/1.55  clause( 2597, [ p2( f5( f7( c13, c12 ), f7( c13, c11 ) ), f4( f5( c12, c11
% 0.76/1.55     ), f3( c14 ) ) ) ] )
% 0.76/1.55  .
% 0.76/1.55  clause( 21757, [ ~( p8( c14, c12 ) ) ] )
% 0.76/1.55  .
% 0.76/1.55  clause( 22034, [] )
% 0.76/1.55  .
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  % SZS output end Refutation
% 0.76/1.55  found a proof!
% 0.76/1.55  
% 0.76/1.55  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.55  
% 0.76/1.55  initialclauses(
% 0.76/1.55  [ clause( 22036, [ p2( X, X ) ] )
% 0.76/1.55  , clause( 22037, [ p6( X, X ) ] )
% 0.76/1.55  , clause( 22038, [ p8( c14, c12 ) ] )
% 0.76/1.55  , clause( 22039, [ p8( c11, c12 ) ] )
% 0.76/1.55  , clause( 22040, [ p8( c11, c14 ) ] )
% 0.76/1.55  , clause( 22041, [ p9( c13, c15, c14 ) ] )
% 0.76/1.55  , clause( 22042, [ p10( X, Y ), ~( p8( X, Y ) ) ] )
% 0.76/1.55  , clause( 22043, [ p2( f3( X ), f3( Y ) ), ~( p2( X, Y ) ) ] )
% 0.76/1.55  , clause( 22044, [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ] )
% 0.76/1.55  , clause( 22045, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.76/1.55  , clause( 22046, [ p2( X, Y ), ~( p9( Z, X, T ) ), ~( p9( Z, Y, T ) ) ] )
% 0.76/1.55  , clause( 22047, [ p9( c13, f3( X ), X ), ~( p10( X, c12 ) ), ~( p10( c11, 
% 0.76/1.55    X ) ) ] )
% 0.76/1.55  , clause( 22048, [ p10( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p10( Z
% 0.76/1.55    , T ) ) ] )
% 0.76/1.55  , clause( 22049, [ p8( X, Y ), ~( p2( Z, Y ) ), ~( p8( T, Z ) ), ~( p2( T, 
% 0.76/1.55    X ) ) ] )
% 0.76/1.55  , clause( 22050, [ p2( f5( f7( c13, c12 ), f7( c13, c11 ) ), f4( f5( c12, 
% 0.76/1.55    c11 ), c15 ) ) ] )
% 0.76/1.55  , clause( 22051, [ p2( f4( X, Y ), f4( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y
% 0.76/1.55    , T ) ) ] )
% 0.76/1.55  , clause( 22052, [ p2( f7( X, Y ), f7( Z, T ) ), ~( p2( Y, T ) ), ~( p6( X
% 0.76/1.55    , Z ) ) ] )
% 0.76/1.55  , clause( 22053, [ p2( f5( X, Y ), f5( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y
% 0.76/1.55    , T ) ) ] )
% 0.76/1.55  , clause( 22054, [ p9( X, Y, Z ), ~( p2( T, Y ) ), ~( p2( U, Z ) ), ~( p6( 
% 0.76/1.55    W, X ) ), ~( p9( W, T, U ) ) ] )
% 0.76/1.55  , clause( 22055, [ ~( p8( X, c12 ) ), ~( p8( c11, X ) ), ~( p2( f5( f7( c13
% 0.76/1.55    , c12 ), f7( c13, c11 ) ), f4( f5( c12, c11 ), f3( X ) ) ) ) ] )
% 0.76/1.55  ] ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  subsumption(
% 0.76/1.55  clause( 0, [ p2( X, X ) ] )
% 0.76/1.55  , clause( 22036, [ p2( X, X ) ] )
% 0.76/1.55  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  subsumption(
% 0.76/1.55  clause( 2, [ p8( c14, c12 ) ] )
% 0.76/1.55  , clause( 22038, [ p8( c14, c12 ) ] )
% 0.76/1.55  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  subsumption(
% 0.76/1.55  clause( 4, [ p8( c11, c14 ) ] )
% 0.76/1.55  , clause( 22040, [ p8( c11, c14 ) ] )
% 0.76/1.55  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  subsumption(
% 0.76/1.55  clause( 5, [ p9( c13, c15, c14 ) ] )
% 0.76/1.55  , clause( 22041, [ p9( c13, c15, c14 ) ] )
% 0.76/1.55  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  subsumption(
% 0.76/1.55  clause( 6, [ p10( X, Y ), ~( p8( X, Y ) ) ] )
% 0.76/1.55  , clause( 22042, [ p10( X, Y ), ~( p8( X, Y ) ) ] )
% 0.76/1.55  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.76/1.55     ), ==>( 1, 1 )] ) ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  subsumption(
% 0.76/1.55  clause( 9, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.76/1.55  , clause( 22045, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.76/1.55  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.76/1.55    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  subsumption(
% 0.76/1.55  clause( 10, [ p2( X, Y ), ~( p9( Z, X, T ) ), ~( p9( Z, Y, T ) ) ] )
% 0.76/1.55  , clause( 22046, [ p2( X, Y ), ~( p9( Z, X, T ) ), ~( p9( Z, Y, T ) ) ] )
% 0.76/1.55  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.76/1.55    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  subsumption(
% 0.76/1.55  clause( 11, [ p9( c13, f3( X ), X ), ~( p10( c11, X ) ), ~( p10( X, c12 ) )
% 0.76/1.55     ] )
% 0.76/1.55  , clause( 22047, [ p9( c13, f3( X ), X ), ~( p10( X, c12 ) ), ~( p10( c11, 
% 0.76/1.55    X ) ) ] )
% 0.76/1.55  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.76/1.55    2 ), ==>( 2, 1 )] ) ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  subsumption(
% 0.76/1.55  clause( 14, [ p2( f5( f7( c13, c12 ), f7( c13, c11 ) ), f4( f5( c12, c11 )
% 0.76/1.55    , c15 ) ) ] )
% 0.76/1.55  , clause( 22050, [ p2( f5( f7( c13, c12 ), f7( c13, c11 ) ), f4( f5( c12, 
% 0.76/1.55    c11 ), c15 ) ) ] )
% 0.76/1.55  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  subsumption(
% 0.76/1.55  clause( 15, [ ~( p2( X, Z ) ), p2( f4( X, Y ), f4( Z, T ) ), ~( p2( Y, T )
% 0.76/1.55     ) ] )
% 0.76/1.55  , clause( 22051, [ p2( f4( X, Y ), f4( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y
% 0.76/1.55    , T ) ) ] )
% 0.76/1.55  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.76/1.55    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  subsumption(
% 0.76/1.55  clause( 19, [ ~( p8( c11, X ) ), ~( p8( X, c12 ) ), ~( p2( f5( f7( c13, c12
% 0.76/1.55     ), f7( c13, c11 ) ), f4( f5( c12, c11 ), f3( X ) ) ) ) ] )
% 0.76/1.55  , clause( 22055, [ ~( p8( X, c12 ) ), ~( p8( c11, X ) ), ~( p2( f5( f7( c13
% 0.76/1.55    , c12 ), f7( c13, c11 ) ), f4( f5( c12, c11 ), f3( X ) ) ) ) ] )
% 0.76/1.55  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.76/1.55    0 ), ==>( 2, 2 )] ) ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  resolution(
% 0.76/1.55  clause( 22083, [ p10( c14, c12 ) ] )
% 0.76/1.55  , clause( 6, [ p10( X, Y ), ~( p8( X, Y ) ) ] )
% 0.76/1.55  , 1, clause( 2, [ p8( c14, c12 ) ] )
% 0.76/1.55  , 0, substitution( 0, [ :=( X, c14 ), :=( Y, c12 )] ), substitution( 1, [] )
% 0.76/1.55    ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  subsumption(
% 0.76/1.55  clause( 25, [ p10( c14, c12 ) ] )
% 0.76/1.55  , clause( 22083, [ p10( c14, c12 ) ] )
% 0.76/1.55  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  resolution(
% 0.76/1.55  clause( 22084, [ p10( c11, c14 ) ] )
% 0.76/1.55  , clause( 6, [ p10( X, Y ), ~( p8( X, Y ) ) ] )
% 0.76/1.55  , 1, clause( 4, [ p8( c11, c14 ) ] )
% 0.76/1.55  , 0, substitution( 0, [ :=( X, c11 ), :=( Y, c14 )] ), substitution( 1, [] )
% 0.76/1.55    ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  subsumption(
% 0.76/1.55  clause( 27, [ p10( c11, c14 ) ] )
% 0.76/1.55  , clause( 22084, [ p10( c11, c14 ) ] )
% 0.76/1.55  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  resolution(
% 0.76/1.55  clause( 22086, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.76/1.55  , clause( 9, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.76/1.55  , 2, clause( 0, [ p2( X, X ) ] )
% 0.76/1.55  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ), 
% 0.76/1.55    substitution( 1, [ :=( X, X )] )).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  subsumption(
% 0.76/1.55  clause( 28, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.76/1.55  , clause( 22086, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.76/1.55  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.76/1.55     ), ==>( 1, 0 )] ) ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  resolution(
% 0.76/1.55  clause( 22088, [ p2( X, c15 ), ~( p9( c13, X, c14 ) ) ] )
% 0.76/1.55  , clause( 10, [ p2( X, Y ), ~( p9( Z, X, T ) ), ~( p9( Z, Y, T ) ) ] )
% 0.76/1.55  , 2, clause( 5, [ p9( c13, c15, c14 ) ] )
% 0.76/1.55  , 0, substitution( 0, [ :=( X, X ), :=( Y, c15 ), :=( Z, c13 ), :=( T, c14
% 0.76/1.55     )] ), substitution( 1, [] )).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  subsumption(
% 0.76/1.55  clause( 30, [ p2( X, c15 ), ~( p9( c13, X, c14 ) ) ] )
% 0.76/1.55  , clause( 22088, [ p2( X, c15 ), ~( p9( c13, X, c14 ) ) ] )
% 0.76/1.55  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.76/1.55    1 )] ) ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  resolution(
% 0.76/1.55  clause( 22089, [ p9( c13, f3( c14 ), c14 ), ~( p10( c11, c14 ) ) ] )
% 0.76/1.55  , clause( 11, [ p9( c13, f3( X ), X ), ~( p10( c11, X ) ), ~( p10( X, c12 )
% 0.76/1.55     ) ] )
% 0.76/1.55  , 2, clause( 25, [ p10( c14, c12 ) ] )
% 0.76/1.55  , 0, substitution( 0, [ :=( X, c14 )] ), substitution( 1, [] )).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  resolution(
% 0.76/1.55  clause( 22090, [ p9( c13, f3( c14 ), c14 ) ] )
% 0.76/1.55  , clause( 22089, [ p9( c13, f3( c14 ), c14 ), ~( p10( c11, c14 ) ) ] )
% 0.76/1.55  , 1, clause( 27, [ p10( c11, c14 ) ] )
% 0.76/1.55  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  subsumption(
% 0.76/1.55  clause( 32, [ p9( c13, f3( c14 ), c14 ) ] )
% 0.76/1.55  , clause( 22090, [ p9( c13, f3( c14 ), c14 ) ] )
% 0.76/1.55  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  resolution(
% 0.76/1.55  clause( 22091, [ p2( f3( c14 ), c15 ) ] )
% 0.76/1.55  , clause( 30, [ p2( X, c15 ), ~( p9( c13, X, c14 ) ) ] )
% 0.76/1.55  , 1, clause( 32, [ p9( c13, f3( c14 ), c14 ) ] )
% 0.76/1.55  , 0, substitution( 0, [ :=( X, f3( c14 ) )] ), substitution( 1, [] )).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  subsumption(
% 0.76/1.55  clause( 33, [ p2( f3( c14 ), c15 ) ] )
% 0.76/1.55  , clause( 22091, [ p2( f3( c14 ), c15 ) ] )
% 0.76/1.55  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  resolution(
% 0.76/1.55  clause( 22092, [ p2( c15, f3( c14 ) ) ] )
% 0.76/1.55  , clause( 28, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.76/1.55  , 1, clause( 33, [ p2( f3( c14 ), c15 ) ] )
% 0.76/1.55  , 0, substitution( 0, [ :=( X, f3( c14 ) ), :=( Y, c15 )] ), substitution( 
% 0.76/1.55    1, [] )).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  subsumption(
% 0.76/1.55  clause( 38, [ p2( c15, f3( c14 ) ) ] )
% 0.76/1.55  , clause( 22092, [ p2( c15, f3( c14 ) ) ] )
% 0.76/1.55  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  resolution(
% 0.76/1.55  clause( 22093, [ p2( f4( f5( c12, c11 ), c15 ), f5( f7( c13, c12 ), f7( c13
% 0.76/1.55    , c11 ) ) ) ] )
% 0.76/1.55  , clause( 28, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.76/1.55  , 1, clause( 14, [ p2( f5( f7( c13, c12 ), f7( c13, c11 ) ), f4( f5( c12, 
% 0.76/1.55    c11 ), c15 ) ) ] )
% 0.76/1.55  , 0, substitution( 0, [ :=( X, f5( f7( c13, c12 ), f7( c13, c11 ) ) ), :=( 
% 0.76/1.55    Y, f4( f5( c12, c11 ), c15 ) )] ), substitution( 1, [] )).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  subsumption(
% 0.76/1.55  clause( 85, [ p2( f4( f5( c12, c11 ), c15 ), f5( f7( c13, c12 ), f7( c13, 
% 0.76/1.55    c11 ) ) ) ] )
% 0.76/1.55  , clause( 22093, [ p2( f4( f5( c12, c11 ), c15 ), f5( f7( c13, c12 ), f7( 
% 0.76/1.55    c13, c11 ) ) ) ] )
% 0.76/1.55  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  resolution(
% 0.76/1.55  clause( 22095, [ ~( p2( X, Y ) ), p2( f4( X, c15 ), f4( Y, f3( c14 ) ) ) ]
% 0.76/1.55     )
% 0.76/1.55  , clause( 15, [ ~( p2( X, Z ) ), p2( f4( X, Y ), f4( Z, T ) ), ~( p2( Y, T
% 0.76/1.55     ) ) ] )
% 0.76/1.55  , 2, clause( 38, [ p2( c15, f3( c14 ) ) ] )
% 0.76/1.55  , 0, substitution( 0, [ :=( X, X ), :=( Y, c15 ), :=( Z, Y ), :=( T, f3( 
% 0.76/1.55    c14 ) )] ), substitution( 1, [] )).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  subsumption(
% 0.76/1.55  clause( 101, [ p2( f4( X, c15 ), f4( Y, f3( c14 ) ) ), ~( p2( X, Y ) ) ] )
% 0.76/1.55  , clause( 22095, [ ~( p2( X, Y ) ), p2( f4( X, c15 ), f4( Y, f3( c14 ) ) )
% 0.76/1.55     ] )
% 0.76/1.55  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.76/1.55     ), ==>( 1, 0 )] ) ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  resolution(
% 0.76/1.55  clause( 22096, [ p2( f4( X, c15 ), f4( X, f3( c14 ) ) ) ] )
% 0.76/1.55  , clause( 101, [ p2( f4( X, c15 ), f4( Y, f3( c14 ) ) ), ~( p2( X, Y ) ) ]
% 0.76/1.55     )
% 0.76/1.55  , 1, clause( 0, [ p2( X, X ) ] )
% 0.76/1.55  , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.76/1.55    , X )] )).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  subsumption(
% 0.76/1.55  clause( 2170, [ p2( f4( X, c15 ), f4( X, f3( c14 ) ) ) ] )
% 0.76/1.55  , clause( 22096, [ p2( f4( X, c15 ), f4( X, f3( c14 ) ) ) ] )
% 0.76/1.55  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  resolution(
% 0.76/1.55  clause( 22098, [ ~( p2( f4( X, c15 ), Y ) ), p2( Y, f4( X, f3( c14 ) ) ) ]
% 0.76/1.55     )
% 0.76/1.55  , clause( 9, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.76/1.55  , 2, clause( 2170, [ p2( f4( X, c15 ), f4( X, f3( c14 ) ) ) ] )
% 0.76/1.55  , 0, substitution( 0, [ :=( X, Y ), :=( Y, f4( X, f3( c14 ) ) ), :=( Z, f4( 
% 0.76/1.55    X, c15 ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  subsumption(
% 0.76/1.55  clause( 2203, [ p2( Y, f4( X, f3( c14 ) ) ), ~( p2( f4( X, c15 ), Y ) ) ]
% 0.76/1.55     )
% 0.76/1.55  , clause( 22098, [ ~( p2( f4( X, c15 ), Y ) ), p2( Y, f4( X, f3( c14 ) ) )
% 0.76/1.55     ] )
% 0.76/1.55  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.76/1.55     ), ==>( 1, 0 )] ) ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  resolution(
% 0.76/1.55  clause( 22099, [ p2( f5( f7( c13, c12 ), f7( c13, c11 ) ), f4( f5( c12, c11
% 0.76/1.55     ), f3( c14 ) ) ) ] )
% 0.76/1.55  , clause( 2203, [ p2( Y, f4( X, f3( c14 ) ) ), ~( p2( f4( X, c15 ), Y ) ) ]
% 0.76/1.55     )
% 0.76/1.55  , 1, clause( 85, [ p2( f4( f5( c12, c11 ), c15 ), f5( f7( c13, c12 ), f7( 
% 0.76/1.55    c13, c11 ) ) ) ] )
% 0.76/1.55  , 0, substitution( 0, [ :=( X, f5( c12, c11 ) ), :=( Y, f5( f7( c13, c12 )
% 0.76/1.55    , f7( c13, c11 ) ) )] ), substitution( 1, [] )).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  subsumption(
% 0.76/1.55  clause( 2597, [ p2( f5( f7( c13, c12 ), f7( c13, c11 ) ), f4( f5( c12, c11
% 0.76/1.55     ), f3( c14 ) ) ) ] )
% 0.76/1.55  , clause( 22099, [ p2( f5( f7( c13, c12 ), f7( c13, c11 ) ), f4( f5( c12, 
% 0.76/1.55    c11 ), f3( c14 ) ) ) ] )
% 0.76/1.55  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  resolution(
% 0.76/1.55  clause( 22100, [ ~( p8( c11, c14 ) ), ~( p8( c14, c12 ) ) ] )
% 0.76/1.55  , clause( 19, [ ~( p8( c11, X ) ), ~( p8( X, c12 ) ), ~( p2( f5( f7( c13, 
% 0.76/1.55    c12 ), f7( c13, c11 ) ), f4( f5( c12, c11 ), f3( X ) ) ) ) ] )
% 0.76/1.55  , 2, clause( 2597, [ p2( f5( f7( c13, c12 ), f7( c13, c11 ) ), f4( f5( c12
% 0.76/1.55    , c11 ), f3( c14 ) ) ) ] )
% 0.76/1.55  , 0, substitution( 0, [ :=( X, c14 )] ), substitution( 1, [] )).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  resolution(
% 0.76/1.55  clause( 22101, [ ~( p8( c14, c12 ) ) ] )
% 0.76/1.55  , clause( 22100, [ ~( p8( c11, c14 ) ), ~( p8( c14, c12 ) ) ] )
% 0.76/1.55  , 0, clause( 4, [ p8( c11, c14 ) ] )
% 0.76/1.55  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  subsumption(
% 0.76/1.55  clause( 21757, [ ~( p8( c14, c12 ) ) ] )
% 0.76/1.55  , clause( 22101, [ ~( p8( c14, c12 ) ) ] )
% 0.76/1.55  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  resolution(
% 0.76/1.55  clause( 22102, [] )
% 0.76/1.55  , clause( 21757, [ ~( p8( c14, c12 ) ) ] )
% 0.76/1.55  , 0, clause( 2, [ p8( c14, c12 ) ] )
% 0.76/1.55  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  subsumption(
% 0.76/1.55  clause( 22034, [] )
% 0.76/1.55  , clause( 22102, [] )
% 0.76/1.55  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  end.
% 0.76/1.55  
% 0.76/1.55  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.55  
% 0.76/1.55  Memory use:
% 0.76/1.55  
% 0.76/1.55  space for terms:        480304
% 0.76/1.55  space for clauses:      1966081
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  clauses generated:      22735
% 0.76/1.55  clauses kept:           22035
% 0.76/1.55  clauses selected:       607
% 0.76/1.55  clauses deleted:        386
% 0.76/1.55  clauses inuse deleted:  13
% 0.76/1.55  
% 0.76/1.55  subsentry:          106388
% 0.76/1.55  literals s-matched: 92193
% 0.76/1.55  literals matched:   92193
% 0.76/1.55  full subsumption:   312
% 0.76/1.55  
% 0.76/1.55  checksum:           -2078169739
% 0.76/1.55  
% 0.76/1.55  
% 0.76/1.55  Bliksem ended
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