TSTP Solution File: SYN581-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN581-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n011.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 02:53:07 EDT 2022

% Result   : Unsatisfiable 0.79s 1.63s
% Output   : Refutation 0.79s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN581-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Mon Jul 11 20:29:27 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.79/1.63  *** allocated 10000 integers for termspace/termends
% 0.79/1.63  *** allocated 10000 integers for clauses
% 0.79/1.63  *** allocated 10000 integers for justifications
% 0.79/1.63  Bliksem 1.12
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  Automatic Strategy Selection
% 0.79/1.63  
% 0.79/1.63  Clauses:
% 0.79/1.63  [
% 0.79/1.63     [ p7( X, X ) ],
% 0.79/1.63     [ p2( X, X ) ],
% 0.79/1.63     [ p5( X, X ) ],
% 0.79/1.63     [ p12( c13, c18 ) ],
% 0.79/1.63     [ p2( c18, c14 ) ],
% 0.79/1.63     [ p2( f3( c18 ), f8( f9( c17 ) ) ) ],
% 0.79/1.63     [ p11( f4( f6( c15, c13 ) ), c16 ) ],
% 0.79/1.63     [ p11( f4( f6( c15, c14 ) ), c16 ) ],
% 0.79/1.63     [ ~( p11( f4( f6( c15, c18 ) ), c16 ) ) ],
% 0.79/1.63     [ p11( X, Y ), ~( p12( X, Y ) ) ],
% 0.79/1.63     [ p11( X, Y ), ~( p2( X, Y ) ) ],
% 0.79/1.63     [ p7( f9( X ), f9( Y ) ), ~( p7( X, Y ) ) ],
% 0.79/1.63     [ p2( f3( X ), f3( Y ) ), ~( p2( X, Y ) ) ],
% 0.79/1.63     [ p2( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ],
% 0.79/1.63     [ p2( f8( X ), f8( Y ) ), ~( p7( X, Y ) ) ],
% 0.79/1.63     [ p12( X, Y ), p2( X, Y ), ~( p11( X, Y ) ) ],
% 0.79/1.63     [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ],
% 0.79/1.63     [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.79/1.63     [ p5( X, Y ), ~( p5( Z, X ) ), ~( p5( Z, Y ) ) ],
% 0.79/1.63     [ p10( c15, f3( X ), X ), ~( p11( X, c14 ) ), ~( p11( c13, X ) ) ],
% 0.79/1.63     [ p11( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p11( Z, T ) ) ],
% 0.79/1.63     [ p12( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p12( Z, T ) ) ],
% 0.79/1.63     [ p2( f6( X, Y ), f6( Z, T ) ), ~( p2( Y, T ) ), ~( p5( X, Z ) ) ],
% 0.79/1.63     [ p10( X, Y, Z ), ~( p5( T, X ) ), ~( p2( U, Z ) ), ~( p2( W, Y ) ), ~( 
% 0.79/1.63    p10( T, W, U ) ) ],
% 0.79/1.63     [ p11( f4( f6( c15, X ) ), c16 ), ~( p12( X, c14 ) ), ~( p12( c13, X ) )
% 0.79/1.63    , ~( p2( f3( X ), f8( f9( c17 ) ) ) ) ]
% 0.79/1.63  ] .
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  percentage equality = 0.000000, percentage horn = 0.960000
% 0.79/1.63  This is a near-Horn, non-equality  problem
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  Options Used:
% 0.79/1.63  
% 0.79/1.63  useres =            1
% 0.79/1.63  useparamod =        0
% 0.79/1.63  useeqrefl =         0
% 0.79/1.63  useeqfact =         0
% 0.79/1.63  usefactor =         1
% 0.79/1.63  usesimpsplitting =  0
% 0.79/1.63  usesimpdemod =      0
% 0.79/1.63  usesimpres =        4
% 0.79/1.63  
% 0.79/1.63  resimpinuse      =  1000
% 0.79/1.63  resimpclauses =     20000
% 0.79/1.63  substype =          standard
% 0.79/1.63  backwardsubs =      1
% 0.79/1.63  selectoldest =      5
% 0.79/1.63  
% 0.79/1.63  litorderings [0] =  split
% 0.79/1.63  litorderings [1] =  liftord
% 0.79/1.63  
% 0.79/1.63  termordering =      none
% 0.79/1.63  
% 0.79/1.63  litapriori =        1
% 0.79/1.63  termapriori =       0
% 0.79/1.63  litaposteriori =    0
% 0.79/1.63  termaposteriori =   0
% 0.79/1.63  demodaposteriori =  0
% 0.79/1.63  ordereqreflfact =   0
% 0.79/1.63  
% 0.79/1.63  litselect =         negative
% 0.79/1.63  
% 0.79/1.63  maxweight =         30000
% 0.79/1.63  maxdepth =          30000
% 0.79/1.63  maxlength =         115
% 0.79/1.63  maxnrvars =         195
% 0.79/1.63  excuselevel =       0
% 0.79/1.63  increasemaxweight = 0
% 0.79/1.63  
% 0.79/1.63  maxselected =       10000000
% 0.79/1.63  maxnrclauses =      10000000
% 0.79/1.63  
% 0.79/1.63  showgenerated =    0
% 0.79/1.63  showkept =         0
% 0.79/1.63  showselected =     0
% 0.79/1.63  showdeleted =      0
% 0.79/1.63  showresimp =       1
% 0.79/1.63  showstatus =       2000
% 0.79/1.63  
% 0.79/1.63  prologoutput =     1
% 0.79/1.63  nrgoals =          5000000
% 0.79/1.63  totalproof =       1
% 0.79/1.63  
% 0.79/1.63  Symbols occurring in the translation:
% 0.79/1.63  
% 0.79/1.63  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.79/1.63  .  [1, 2]      (w:1, o:63, a:1, s:1, b:0), 
% 0.79/1.63  !  [4, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 0.79/1.63  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.79/1.63  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.79/1.63  p7  [40, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 0.79/1.63  p2  [42, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 0.79/1.63  p5  [44, 2]      (w:1, o:92, a:1, s:1, b:0), 
% 0.79/1.63  c13  [45, 0]      (w:1, o:34, a:1, s:1, b:0), 
% 0.79/1.63  c18  [46, 0]      (w:1, o:37, a:1, s:1, b:0), 
% 0.79/1.63  p12  [47, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 0.79/1.63  c14  [48, 0]      (w:1, o:38, a:1, s:1, b:0), 
% 0.79/1.63  f3  [49, 1]      (w:1, o:59, a:1, s:1, b:0), 
% 0.79/1.63  c17  [50, 0]      (w:1, o:36, a:1, s:1, b:0), 
% 0.79/1.63  f9  [51, 1]      (w:1, o:61, a:1, s:1, b:0), 
% 0.79/1.63  f8  [52, 1]      (w:1, o:60, a:1, s:1, b:0), 
% 0.79/1.63  c15  [53, 0]      (w:1, o:39, a:1, s:1, b:0), 
% 0.79/1.63  f6  [54, 2]      (w:1, o:93, a:1, s:1, b:0), 
% 0.79/1.63  f4  [55, 1]      (w:1, o:62, a:1, s:1, b:0), 
% 0.79/1.63  c16  [56, 0]      (w:1, o:35, a:1, s:1, b:0), 
% 0.79/1.63  p11  [57, 2]      (w:1, o:89, a:1, s:1, b:0), 
% 0.79/1.63  p10  [75, 3]      (w:1, o:94, a:1, s:1, b:0).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  Starting Search:
% 0.79/1.63  
% 0.79/1.63  Resimplifying inuse:
% 0.79/1.63  Done
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  Intermediate Status:
% 0.79/1.63  Generated:    2339
% 0.79/1.63  Kept:         2021
% 0.79/1.63  Inuse:        254
% 0.79/1.63  Deleted:      2
% 0.79/1.63  Deletedinuse: 0
% 0.79/1.63  
% 0.79/1.63  Resimplifying inuse:
% 0.79/1.63  Done
% 0.79/1.63  
% 0.79/1.63  Resimplifying inuse:
% 0.79/1.63  Done
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  Intermediate Status:
% 0.79/1.63  Generated:    4627
% 0.79/1.63  Kept:         4039
% 0.79/1.63  Inuse:        438
% 0.79/1.63  Deleted:      66
% 0.79/1.63  Deletedinuse: 43
% 0.79/1.63  
% 0.79/1.63  Resimplifying inuse:
% 0.79/1.63  Done
% 0.79/1.63  
% 0.79/1.63  Resimplifying inuse:
% 0.79/1.63  Done
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  Intermediate Status:
% 0.79/1.63  Generated:    6713
% 0.79/1.63  Kept:         6052
% 0.79/1.63  Inuse:        563
% 0.79/1.63  Deleted:      66
% 0.79/1.63  Deletedinuse: 43
% 0.79/1.63  
% 0.79/1.63  Resimplifying inuse:
% 0.79/1.63  Done
% 0.79/1.63  
% 0.79/1.63  Resimplifying inuse:
% 0.79/1.63  Done
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  Intermediate Status:
% 0.79/1.63  Generated:    8809
% 0.79/1.63  Kept:         8079
% 0.79/1.63  Inuse:        625
% 0.79/1.63  Deleted:      66
% 0.79/1.63  Deletedinuse: 43
% 0.79/1.63  
% 0.79/1.63  Resimplifying inuse:
% 0.79/1.63  Done
% 0.79/1.63  
% 0.79/1.63  Resimplifying inuse:
% 0.79/1.63  Done
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  Intermediate Status:
% 0.79/1.63  Generated:    10915
% 0.79/1.63  Kept:         10133
% 0.79/1.63  Inuse:        691
% 0.79/1.63  Deleted:      70
% 0.79/1.63  Deletedinuse: 43
% 0.79/1.63  
% 0.79/1.63  Resimplifying inuse:
% 0.79/1.63  Done
% 0.79/1.63  
% 0.79/1.63  Resimplifying inuse:
% 0.79/1.63  Done
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  Intermediate Status:
% 0.79/1.63  Generated:    13144
% 0.79/1.63  Kept:         12257
% 0.79/1.63  Inuse:        851
% 0.79/1.63  Deleted:      143
% 0.79/1.63  Deletedinuse: 43
% 0.79/1.63  
% 0.79/1.63  Resimplifying inuse:
% 0.79/1.63  Done
% 0.79/1.63  
% 0.79/1.63  Resimplifying inuse:
% 0.79/1.63  Done
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  Intermediate Status:
% 0.79/1.63  Generated:    15212
% 0.79/1.63  Kept:         14274
% 0.79/1.63  Inuse:        944
% 0.79/1.63  Deleted:      143
% 0.79/1.63  Deletedinuse: 43
% 0.79/1.63  
% 0.79/1.63  Resimplifying inuse:
% 0.79/1.63  Done
% 0.79/1.63  
% 0.79/1.63  Resimplifying inuse:
% 0.79/1.63  Done
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  Intermediate Status:
% 0.79/1.63  Generated:    17279
% 0.79/1.63  Kept:         16298
% 0.79/1.63  Inuse:        983
% 0.79/1.63  Deleted:      144
% 0.79/1.63  Deletedinuse: 43
% 0.79/1.63  
% 0.79/1.63  Resimplifying inuse:
% 0.79/1.63  Done
% 0.79/1.63  
% 0.79/1.63  Resimplifying inuse:
% 0.79/1.63  Done
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  Intermediate Status:
% 0.79/1.63  Generated:    19333
% 0.79/1.63  Kept:         18314
% 0.79/1.63  Inuse:        1016
% 0.79/1.63  Deleted:      144
% 0.79/1.63  Deletedinuse: 43
% 0.79/1.63  
% 0.79/1.63  Resimplifying inuse:
% 0.79/1.63  Done
% 0.79/1.63  
% 0.79/1.63  Resimplifying inuse:
% 0.79/1.63  Done
% 0.79/1.63  
% 0.79/1.63  Resimplifying clauses:
% 0.79/1.63  Done
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  Bliksems!, er is een bewijs:
% 0.79/1.63  % SZS status Unsatisfiable
% 0.79/1.63  % SZS output start Refutation
% 0.79/1.63  
% 0.79/1.63  clause( 1, [ p2( X, X ) ] )
% 0.79/1.63  .
% 0.79/1.63  clause( 2, [ p5( X, X ) ] )
% 0.79/1.63  .
% 0.79/1.63  clause( 4, [ p2( c18, c14 ) ] )
% 0.79/1.63  .
% 0.79/1.63  clause( 7, [ p11( f4( f6( c15, c14 ) ), c16 ) ] )
% 0.79/1.63  .
% 0.79/1.63  clause( 8, [ ~( p11( f4( f6( c15, c18 ) ), c16 ) ) ] )
% 0.79/1.63  .
% 0.79/1.63  clause( 13, [ p2( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.79/1.63  .
% 0.79/1.63  clause( 17, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.79/1.63  .
% 0.79/1.63  clause( 20, [ p11( X, Y ), ~( p11( Z, T ) ), ~( p2( Z, X ) ), ~( p2( T, Y )
% 0.79/1.63     ) ] )
% 0.79/1.63  .
% 0.79/1.63  clause( 22, [ p2( f6( X, Y ), f6( Z, T ) ), ~( p5( X, Z ) ), ~( p2( Y, T )
% 0.79/1.63     ) ] )
% 0.79/1.63  .
% 0.79/1.63  clause( 69, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.79/1.63  .
% 0.79/1.63  clause( 78, [ p2( c14, c18 ) ] )
% 0.79/1.63  .
% 0.79/1.63  clause( 104, [ p11( X, Y ), ~( p11( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.79/1.63  .
% 0.79/1.63  clause( 150, [ p2( f6( X, c14 ), f6( Y, c18 ) ), ~( p5( X, Y ) ) ] )
% 0.79/1.63  .
% 0.79/1.63  clause( 3543, [ p2( f6( X, c14 ), f6( X, c18 ) ) ] )
% 0.79/1.63  .
% 0.79/1.63  clause( 3589, [ p2( f4( f6( X, c14 ) ), f4( f6( X, c18 ) ) ) ] )
% 0.79/1.63  .
% 0.79/1.63  clause( 3802, [ p11( f4( f6( X, c18 ) ), Y ), ~( p11( f4( f6( X, c14 ) ), Y
% 0.79/1.63     ) ) ] )
% 0.79/1.63  .
% 0.79/1.63  clause( 20159, [] )
% 0.79/1.63  .
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  % SZS output end Refutation
% 0.79/1.63  found a proof!
% 0.79/1.63  
% 0.79/1.63  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.79/1.63  
% 0.79/1.63  initialclauses(
% 0.79/1.63  [ clause( 20161, [ p7( X, X ) ] )
% 0.79/1.63  , clause( 20162, [ p2( X, X ) ] )
% 0.79/1.63  , clause( 20163, [ p5( X, X ) ] )
% 0.79/1.63  , clause( 20164, [ p12( c13, c18 ) ] )
% 0.79/1.63  , clause( 20165, [ p2( c18, c14 ) ] )
% 0.79/1.63  , clause( 20166, [ p2( f3( c18 ), f8( f9( c17 ) ) ) ] )
% 0.79/1.63  , clause( 20167, [ p11( f4( f6( c15, c13 ) ), c16 ) ] )
% 0.79/1.63  , clause( 20168, [ p11( f4( f6( c15, c14 ) ), c16 ) ] )
% 0.79/1.63  , clause( 20169, [ ~( p11( f4( f6( c15, c18 ) ), c16 ) ) ] )
% 0.79/1.63  , clause( 20170, [ p11( X, Y ), ~( p12( X, Y ) ) ] )
% 0.79/1.63  , clause( 20171, [ p11( X, Y ), ~( p2( X, Y ) ) ] )
% 0.79/1.63  , clause( 20172, [ p7( f9( X ), f9( Y ) ), ~( p7( X, Y ) ) ] )
% 0.79/1.63  , clause( 20173, [ p2( f3( X ), f3( Y ) ), ~( p2( X, Y ) ) ] )
% 0.79/1.63  , clause( 20174, [ p2( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.79/1.63  , clause( 20175, [ p2( f8( X ), f8( Y ) ), ~( p7( X, Y ) ) ] )
% 0.79/1.63  , clause( 20176, [ p12( X, Y ), p2( X, Y ), ~( p11( X, Y ) ) ] )
% 0.79/1.63  , clause( 20177, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 0.79/1.63  , clause( 20178, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.79/1.63  , clause( 20179, [ p5( X, Y ), ~( p5( Z, X ) ), ~( p5( Z, Y ) ) ] )
% 0.79/1.63  , clause( 20180, [ p10( c15, f3( X ), X ), ~( p11( X, c14 ) ), ~( p11( c13
% 0.79/1.63    , X ) ) ] )
% 0.79/1.63  , clause( 20181, [ p11( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p11( Z
% 0.79/1.63    , T ) ) ] )
% 0.79/1.63  , clause( 20182, [ p12( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p12( Z
% 0.79/1.63    , T ) ) ] )
% 0.79/1.63  , clause( 20183, [ p2( f6( X, Y ), f6( Z, T ) ), ~( p2( Y, T ) ), ~( p5( X
% 0.79/1.63    , Z ) ) ] )
% 0.79/1.63  , clause( 20184, [ p10( X, Y, Z ), ~( p5( T, X ) ), ~( p2( U, Z ) ), ~( p2( 
% 0.79/1.63    W, Y ) ), ~( p10( T, W, U ) ) ] )
% 0.79/1.63  , clause( 20185, [ p11( f4( f6( c15, X ) ), c16 ), ~( p12( X, c14 ) ), ~( 
% 0.79/1.63    p12( c13, X ) ), ~( p2( f3( X ), f8( f9( c17 ) ) ) ) ] )
% 0.79/1.63  ] ).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  subsumption(
% 0.79/1.63  clause( 1, [ p2( X, X ) ] )
% 0.79/1.63  , clause( 20162, [ p2( X, X ) ] )
% 0.79/1.63  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  subsumption(
% 0.79/1.63  clause( 2, [ p5( X, X ) ] )
% 0.79/1.63  , clause( 20163, [ p5( X, X ) ] )
% 0.79/1.63  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  subsumption(
% 0.79/1.63  clause( 4, [ p2( c18, c14 ) ] )
% 0.79/1.63  , clause( 20165, [ p2( c18, c14 ) ] )
% 0.79/1.63  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  subsumption(
% 0.79/1.63  clause( 7, [ p11( f4( f6( c15, c14 ) ), c16 ) ] )
% 0.79/1.63  , clause( 20168, [ p11( f4( f6( c15, c14 ) ), c16 ) ] )
% 0.79/1.63  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  subsumption(
% 0.79/1.63  clause( 8, [ ~( p11( f4( f6( c15, c18 ) ), c16 ) ) ] )
% 0.79/1.63  , clause( 20169, [ ~( p11( f4( f6( c15, c18 ) ), c16 ) ) ] )
% 0.79/1.63  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  subsumption(
% 0.79/1.63  clause( 13, [ p2( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.79/1.63  , clause( 20174, [ p2( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.79/1.63  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.63     ), ==>( 1, 1 )] ) ).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  subsumption(
% 0.79/1.63  clause( 17, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.79/1.63  , clause( 20178, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.79/1.63  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.79/1.63    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  subsumption(
% 0.79/1.63  clause( 20, [ p11( X, Y ), ~( p11( Z, T ) ), ~( p2( Z, X ) ), ~( p2( T, Y )
% 0.79/1.63     ) ] )
% 0.79/1.63  , clause( 20181, [ p11( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p11( Z
% 0.79/1.63    , T ) ) ] )
% 0.79/1.63  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.79/1.63    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 3 ), ==>( 3, 1 )] )
% 0.79/1.63     ).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  subsumption(
% 0.79/1.63  clause( 22, [ p2( f6( X, Y ), f6( Z, T ) ), ~( p5( X, Z ) ), ~( p2( Y, T )
% 0.79/1.63     ) ] )
% 0.79/1.63  , clause( 20183, [ p2( f6( X, Y ), f6( Z, T ) ), ~( p2( Y, T ) ), ~( p5( X
% 0.79/1.63    , Z ) ) ] )
% 0.79/1.63  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.79/1.63    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  resolution(
% 0.79/1.63  clause( 20198, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.79/1.63  , clause( 17, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.79/1.63  , 2, clause( 1, [ p2( X, X ) ] )
% 0.79/1.63  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ), 
% 0.79/1.63    substitution( 1, [ :=( X, X )] )).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  subsumption(
% 0.79/1.63  clause( 69, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.79/1.63  , clause( 20198, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.79/1.63  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.79/1.63     ), ==>( 1, 0 )] ) ).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  resolution(
% 0.79/1.63  clause( 20199, [ p2( c14, c18 ) ] )
% 0.79/1.63  , clause( 69, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.79/1.63  , 1, clause( 4, [ p2( c18, c14 ) ] )
% 0.79/1.63  , 0, substitution( 0, [ :=( X, c18 ), :=( Y, c14 )] ), substitution( 1, [] )
% 0.79/1.63    ).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  subsumption(
% 0.79/1.63  clause( 78, [ p2( c14, c18 ) ] )
% 0.79/1.63  , clause( 20199, [ p2( c14, c18 ) ] )
% 0.79/1.63  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  resolution(
% 0.79/1.63  clause( 20201, [ p11( X, Y ), ~( p11( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.79/1.63  , clause( 20, [ p11( X, Y ), ~( p11( Z, T ) ), ~( p2( Z, X ) ), ~( p2( T, Y
% 0.79/1.63     ) ) ] )
% 0.79/1.63  , 3, clause( 1, [ p2( X, X ) ] )
% 0.79/1.63  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y )] ), 
% 0.79/1.63    substitution( 1, [ :=( X, Y )] )).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  subsumption(
% 0.79/1.63  clause( 104, [ p11( X, Y ), ~( p11( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.79/1.63  , clause( 20201, [ p11( X, Y ), ~( p11( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.79/1.63  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.79/1.63    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  resolution(
% 0.79/1.63  clause( 20202, [ p2( f6( X, c14 ), f6( Y, c18 ) ), ~( p5( X, Y ) ) ] )
% 0.79/1.63  , clause( 22, [ p2( f6( X, Y ), f6( Z, T ) ), ~( p5( X, Z ) ), ~( p2( Y, T
% 0.79/1.63     ) ) ] )
% 0.79/1.63  , 2, clause( 78, [ p2( c14, c18 ) ] )
% 0.79/1.63  , 0, substitution( 0, [ :=( X, X ), :=( Y, c14 ), :=( Z, Y ), :=( T, c18 )] )
% 0.79/1.63    , substitution( 1, [] )).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  subsumption(
% 0.79/1.63  clause( 150, [ p2( f6( X, c14 ), f6( Y, c18 ) ), ~( p5( X, Y ) ) ] )
% 0.79/1.63  , clause( 20202, [ p2( f6( X, c14 ), f6( Y, c18 ) ), ~( p5( X, Y ) ) ] )
% 0.79/1.63  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.63     ), ==>( 1, 1 )] ) ).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  resolution(
% 0.79/1.63  clause( 20203, [ p2( f6( X, c14 ), f6( X, c18 ) ) ] )
% 0.79/1.63  , clause( 150, [ p2( f6( X, c14 ), f6( Y, c18 ) ), ~( p5( X, Y ) ) ] )
% 0.79/1.63  , 1, clause( 2, [ p5( X, X ) ] )
% 0.79/1.63  , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.79/1.63    , X )] )).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  subsumption(
% 0.79/1.63  clause( 3543, [ p2( f6( X, c14 ), f6( X, c18 ) ) ] )
% 0.79/1.63  , clause( 20203, [ p2( f6( X, c14 ), f6( X, c18 ) ) ] )
% 0.79/1.63  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  resolution(
% 0.79/1.63  clause( 20204, [ p2( f4( f6( X, c14 ) ), f4( f6( X, c18 ) ) ) ] )
% 0.79/1.63  , clause( 13, [ p2( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.79/1.63  , 1, clause( 3543, [ p2( f6( X, c14 ), f6( X, c18 ) ) ] )
% 0.79/1.63  , 0, substitution( 0, [ :=( X, f6( X, c14 ) ), :=( Y, f6( X, c18 ) )] ), 
% 0.79/1.63    substitution( 1, [ :=( X, X )] )).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  subsumption(
% 0.79/1.63  clause( 3589, [ p2( f4( f6( X, c14 ) ), f4( f6( X, c18 ) ) ) ] )
% 0.79/1.63  , clause( 20204, [ p2( f4( f6( X, c14 ) ), f4( f6( X, c18 ) ) ) ] )
% 0.79/1.63  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  resolution(
% 0.79/1.63  clause( 20205, [ p11( f4( f6( X, c18 ) ), Y ), ~( p11( f4( f6( X, c14 ) ), 
% 0.79/1.63    Y ) ) ] )
% 0.79/1.63  , clause( 104, [ p11( X, Y ), ~( p11( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.79/1.63  , 2, clause( 3589, [ p2( f4( f6( X, c14 ) ), f4( f6( X, c18 ) ) ) ] )
% 0.79/1.63  , 0, substitution( 0, [ :=( X, f4( f6( X, c18 ) ) ), :=( Y, Y ), :=( Z, f4( 
% 0.79/1.63    f6( X, c14 ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  subsumption(
% 0.79/1.63  clause( 3802, [ p11( f4( f6( X, c18 ) ), Y ), ~( p11( f4( f6( X, c14 ) ), Y
% 0.79/1.63     ) ) ] )
% 0.79/1.63  , clause( 20205, [ p11( f4( f6( X, c18 ) ), Y ), ~( p11( f4( f6( X, c14 ) )
% 0.79/1.63    , Y ) ) ] )
% 0.79/1.63  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.63     ), ==>( 1, 1 )] ) ).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  resolution(
% 0.79/1.63  clause( 20206, [ p11( f4( f6( c15, c18 ) ), c16 ) ] )
% 0.79/1.63  , clause( 3802, [ p11( f4( f6( X, c18 ) ), Y ), ~( p11( f4( f6( X, c14 ) )
% 0.79/1.63    , Y ) ) ] )
% 0.79/1.63  , 1, clause( 7, [ p11( f4( f6( c15, c14 ) ), c16 ) ] )
% 0.79/1.63  , 0, substitution( 0, [ :=( X, c15 ), :=( Y, c16 )] ), substitution( 1, [] )
% 0.79/1.63    ).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  resolution(
% 0.79/1.63  clause( 20207, [] )
% 0.79/1.63  , clause( 8, [ ~( p11( f4( f6( c15, c18 ) ), c16 ) ) ] )
% 0.79/1.63  , 0, clause( 20206, [ p11( f4( f6( c15, c18 ) ), c16 ) ] )
% 0.79/1.63  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  subsumption(
% 0.79/1.63  clause( 20159, [] )
% 0.79/1.63  , clause( 20207, [] )
% 0.79/1.63  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  end.
% 0.79/1.63  
% 0.79/1.63  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.79/1.63  
% 0.79/1.63  Memory use:
% 0.79/1.63  
% 0.79/1.63  space for terms:        399828
% 0.79/1.63  space for clauses:      995770
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  clauses generated:      21218
% 0.79/1.63  clauses kept:           20160
% 0.79/1.63  clauses selected:       1084
% 0.79/1.63  clauses deleted:        504
% 0.79/1.63  clauses inuse deleted:  43
% 0.79/1.63  
% 0.79/1.63  subsentry:          90747
% 0.79/1.63  literals s-matched: 81573
% 0.79/1.63  literals matched:   81558
% 0.79/1.63  full subsumption:   620
% 0.79/1.63  
% 0.79/1.63  checksum:           -1595465856
% 0.79/1.63  
% 0.79/1.63  
% 0.79/1.63  Bliksem ended
%------------------------------------------------------------------------------