TSTP Solution File: SYN582-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN582-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n003.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 02:53:08 EDT 2022

% Result   : Unsatisfiable 0.74s 1.49s
% Output   : Refutation 0.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN582-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % DateTime : Mon Jul 11 23:55:15 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.74/1.49  *** allocated 10000 integers for termspace/termends
% 0.74/1.49  *** allocated 10000 integers for clauses
% 0.74/1.49  *** allocated 10000 integers for justifications
% 0.74/1.49  Bliksem 1.12
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  Automatic Strategy Selection
% 0.74/1.49  
% 0.74/1.49  Clauses:
% 0.74/1.49  [
% 0.74/1.49     [ p7( X, X ) ],
% 0.74/1.49     [ p2( X, X ) ],
% 0.74/1.49     [ p5( X, X ) ],
% 0.74/1.49     [ p12( c18, c14 ) ],
% 0.74/1.49     [ p2( c13, c18 ) ],
% 0.74/1.49     [ p2( f3( c18 ), f8( f9( c17 ) ) ) ],
% 0.74/1.49     [ p11( f4( f6( c15, c13 ) ), c16 ) ],
% 0.74/1.49     [ p11( f4( f6( c15, c14 ) ), c16 ) ],
% 0.74/1.49     [ ~( p11( f4( f6( c15, c18 ) ), c16 ) ) ],
% 0.74/1.49     [ p11( X, Y ), ~( p12( X, Y ) ) ],
% 0.74/1.49     [ p11( X, Y ), ~( p2( X, Y ) ) ],
% 0.74/1.49     [ p7( f9( X ), f9( Y ) ), ~( p7( X, Y ) ) ],
% 0.74/1.49     [ p2( f3( X ), f3( Y ) ), ~( p2( X, Y ) ) ],
% 0.74/1.49     [ p2( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ],
% 0.74/1.49     [ p2( f8( X ), f8( Y ) ), ~( p7( X, Y ) ) ],
% 0.74/1.49     [ p12( X, Y ), p2( X, Y ), ~( p11( X, Y ) ) ],
% 0.74/1.49     [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ],
% 0.74/1.49     [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.74/1.49     [ p5( X, Y ), ~( p5( Z, X ) ), ~( p5( Z, Y ) ) ],
% 0.74/1.49     [ p10( c15, f3( X ), X ), ~( p11( X, c14 ) ), ~( p11( c13, X ) ) ],
% 0.74/1.49     [ p11( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p11( Z, T ) ) ],
% 0.74/1.49     [ p12( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p12( Z, T ) ) ],
% 0.74/1.49     [ p2( f6( X, Y ), f6( Z, T ) ), ~( p2( Y, T ) ), ~( p5( X, Z ) ) ],
% 0.74/1.49     [ p10( X, Y, Z ), ~( p5( T, X ) ), ~( p2( U, Z ) ), ~( p2( W, Y ) ), ~( 
% 0.74/1.49    p10( T, W, U ) ) ],
% 0.74/1.49     [ p11( f4( f6( c15, X ) ), c16 ), ~( p12( X, c14 ) ), ~( p12( c13, X ) )
% 0.74/1.49    , ~( p2( f3( X ), f8( f9( c17 ) ) ) ) ]
% 0.74/1.49  ] .
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  percentage equality = 0.000000, percentage horn = 0.960000
% 0.74/1.49  This is a near-Horn, non-equality  problem
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  Options Used:
% 0.74/1.49  
% 0.74/1.49  useres =            1
% 0.74/1.49  useparamod =        0
% 0.74/1.49  useeqrefl =         0
% 0.74/1.49  useeqfact =         0
% 0.74/1.49  usefactor =         1
% 0.74/1.49  usesimpsplitting =  0
% 0.74/1.49  usesimpdemod =      0
% 0.74/1.49  usesimpres =        4
% 0.74/1.49  
% 0.74/1.49  resimpinuse      =  1000
% 0.74/1.49  resimpclauses =     20000
% 0.74/1.49  substype =          standard
% 0.74/1.49  backwardsubs =      1
% 0.74/1.49  selectoldest =      5
% 0.74/1.49  
% 0.74/1.49  litorderings [0] =  split
% 0.74/1.49  litorderings [1] =  liftord
% 0.74/1.49  
% 0.74/1.49  termordering =      none
% 0.74/1.49  
% 0.74/1.49  litapriori =        1
% 0.74/1.49  termapriori =       0
% 0.74/1.49  litaposteriori =    0
% 0.74/1.49  termaposteriori =   0
% 0.74/1.49  demodaposteriori =  0
% 0.74/1.49  ordereqreflfact =   0
% 0.74/1.49  
% 0.74/1.49  litselect =         negative
% 0.74/1.49  
% 0.74/1.49  maxweight =         30000
% 0.74/1.49  maxdepth =          30000
% 0.74/1.49  maxlength =         115
% 0.74/1.49  maxnrvars =         195
% 0.74/1.49  excuselevel =       0
% 0.74/1.49  increasemaxweight = 0
% 0.74/1.49  
% 0.74/1.49  maxselected =       10000000
% 0.74/1.49  maxnrclauses =      10000000
% 0.74/1.49  
% 0.74/1.49  showgenerated =    0
% 0.74/1.49  showkept =         0
% 0.74/1.49  showselected =     0
% 0.74/1.49  showdeleted =      0
% 0.74/1.49  showresimp =       1
% 0.74/1.49  showstatus =       2000
% 0.74/1.49  
% 0.74/1.49  prologoutput =     1
% 0.74/1.49  nrgoals =          5000000
% 0.74/1.49  totalproof =       1
% 0.74/1.49  
% 0.74/1.49  Symbols occurring in the translation:
% 0.74/1.49  
% 0.74/1.49  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.74/1.49  .  [1, 2]      (w:1, o:63, a:1, s:1, b:0), 
% 0.74/1.49  !  [4, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 0.74/1.49  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.74/1.49  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.74/1.49  p7  [40, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 0.74/1.49  p2  [42, 2]      (w:1, o:91, a:1, s:1, b:0), 
% 0.74/1.49  p5  [44, 2]      (w:1, o:92, a:1, s:1, b:0), 
% 0.74/1.49  c18  [45, 0]      (w:1, o:36, a:1, s:1, b:0), 
% 0.74/1.49  c14  [46, 0]      (w:1, o:38, a:1, s:1, b:0), 
% 0.74/1.49  p12  [47, 2]      (w:1, o:90, a:1, s:1, b:0), 
% 0.74/1.49  c13  [48, 0]      (w:1, o:37, a:1, s:1, b:0), 
% 0.74/1.49  f3  [49, 1]      (w:1, o:59, a:1, s:1, b:0), 
% 0.74/1.49  c17  [50, 0]      (w:1, o:35, a:1, s:1, b:0), 
% 0.74/1.49  f9  [51, 1]      (w:1, o:61, a:1, s:1, b:0), 
% 0.74/1.49  f8  [52, 1]      (w:1, o:60, a:1, s:1, b:0), 
% 0.74/1.49  c15  [53, 0]      (w:1, o:39, a:1, s:1, b:0), 
% 0.74/1.49  f6  [54, 2]      (w:1, o:93, a:1, s:1, b:0), 
% 0.74/1.49  f4  [55, 1]      (w:1, o:62, a:1, s:1, b:0), 
% 0.74/1.49  c16  [56, 0]      (w:1, o:34, a:1, s:1, b:0), 
% 0.74/1.49  p11  [57, 2]      (w:1, o:89, a:1, s:1, b:0), 
% 0.74/1.49  p10  [75, 3]      (w:1, o:94, a:1, s:1, b:0).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  Starting Search:
% 0.74/1.49  
% 0.74/1.49  Resimplifying inuse:
% 0.74/1.49  Done
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  Intermediate Status:
% 0.74/1.49  Generated:    2339
% 0.74/1.49  Kept:         2050
% 0.74/1.49  Inuse:        269
% 0.74/1.49  Deleted:      2
% 0.74/1.49  Deletedinuse: 0
% 0.74/1.49  
% 0.74/1.49  Resimplifying inuse:
% 0.74/1.49  Done
% 0.74/1.49  
% 0.74/1.49  Resimplifying inuse:
% 0.74/1.49  Done
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  Intermediate Status:
% 0.74/1.49  Generated:    4530
% 0.74/1.49  Kept:         4113
% 0.74/1.49  Inuse:        489
% 0.74/1.49  Deleted:      3
% 0.74/1.49  Deletedinuse: 1
% 0.74/1.49  
% 0.74/1.49  Resimplifying inuse:
% 0.74/1.49  Done
% 0.74/1.49  
% 0.74/1.49  Resimplifying inuse:
% 0.74/1.49  Done
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  Intermediate Status:
% 0.74/1.49  Generated:    6662
% 0.74/1.49  Kept:         6197
% 0.74/1.49  Inuse:        544
% 0.74/1.49  Deleted:      3
% 0.74/1.49  Deletedinuse: 1
% 0.74/1.49  
% 0.74/1.49  Resimplifying inuse:
% 0.74/1.49  Done
% 0.74/1.49  
% 0.74/1.49  Resimplifying inuse:
% 0.74/1.49  Done
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  Intermediate Status:
% 0.74/1.49  Generated:    8737
% 0.74/1.49  Kept:         8222
% 0.74/1.49  Inuse:        591
% 0.74/1.49  Deleted:      3
% 0.74/1.49  Deletedinuse: 1
% 0.74/1.49  
% 0.74/1.49  Resimplifying inuse:
% 0.74/1.49  Done
% 0.74/1.49  
% 0.74/1.49  Resimplifying inuse:
% 0.74/1.49  Done
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  Intermediate Status:
% 0.74/1.49  Generated:    10845
% 0.74/1.49  Kept:         10268
% 0.74/1.49  Inuse:        656
% 0.74/1.49  Deleted:      3
% 0.74/1.49  Deletedinuse: 1
% 0.74/1.49  
% 0.74/1.49  Resimplifying inuse:
% 0.74/1.49  Done
% 0.74/1.49  
% 0.74/1.49  Resimplifying inuse:
% 0.74/1.49  Done
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  Intermediate Status:
% 0.74/1.49  Generated:    12977
% 0.74/1.49  Kept:         12303
% 0.74/1.49  Inuse:        866
% 0.74/1.49  Deleted:      4
% 0.74/1.49  Deletedinuse: 1
% 0.74/1.49  
% 0.74/1.49  Resimplifying inuse:
% 0.74/1.49  Done
% 0.74/1.49  
% 0.74/1.49  Resimplifying inuse:
% 0.74/1.49  Done
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  Intermediate Status:
% 0.74/1.49  Generated:    15082
% 0.74/1.49  Kept:         14357
% 0.74/1.49  Inuse:        919
% 0.74/1.49  Deleted:      4
% 0.74/1.49  Deletedinuse: 1
% 0.74/1.49  
% 0.74/1.49  Resimplifying inuse:
% 0.74/1.49  Done
% 0.74/1.49  
% 0.74/1.49  Resimplifying inuse:
% 0.74/1.49  Done
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  Intermediate Status:
% 0.74/1.49  Generated:    17154
% 0.74/1.49  Kept:         16386
% 0.74/1.49  Inuse:        958
% 0.74/1.49  Deleted:      4
% 0.74/1.49  Deletedinuse: 1
% 0.74/1.49  
% 0.74/1.49  Resimplifying inuse:
% 0.74/1.49  Done
% 0.74/1.49  
% 0.74/1.49  Resimplifying inuse:
% 0.74/1.49  Done
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  Bliksems!, er is een bewijs:
% 0.74/1.49  % SZS status Unsatisfiable
% 0.74/1.49  % SZS output start Refutation
% 0.74/1.49  
% 0.74/1.49  clause( 1, [ p2( X, X ) ] )
% 0.74/1.49  .
% 0.74/1.49  clause( 2, [ p5( X, X ) ] )
% 0.74/1.49  .
% 0.74/1.49  clause( 4, [ p2( c13, c18 ) ] )
% 0.74/1.49  .
% 0.74/1.49  clause( 6, [ p11( f4( f6( c15, c13 ) ), c16 ) ] )
% 0.74/1.49  .
% 0.74/1.49  clause( 8, [ ~( p11( f4( f6( c15, c18 ) ), c16 ) ) ] )
% 0.74/1.49  .
% 0.74/1.49  clause( 13, [ p2( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.74/1.49  .
% 0.74/1.49  clause( 17, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.74/1.49  .
% 0.74/1.49  clause( 20, [ p11( X, Y ), ~( p11( Z, T ) ), ~( p2( Z, X ) ), ~( p2( T, Y )
% 0.74/1.49     ) ] )
% 0.74/1.49  .
% 0.74/1.49  clause( 22, [ p2( f6( X, Y ), f6( Z, T ) ), ~( p5( X, Z ) ), ~( p2( Y, T )
% 0.74/1.49     ) ] )
% 0.74/1.49  .
% 0.74/1.49  clause( 69, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.74/1.49  .
% 0.74/1.49  clause( 78, [ p2( c18, c13 ) ] )
% 0.74/1.49  .
% 0.74/1.49  clause( 104, [ p11( X, Y ), ~( p11( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.74/1.49  .
% 0.74/1.49  clause( 150, [ p2( f6( X, c18 ), f6( Y, c13 ) ), ~( p5( X, Y ) ) ] )
% 0.74/1.49  .
% 0.74/1.49  clause( 2230, [ p2( f6( X, c18 ), f6( X, c13 ) ) ] )
% 0.74/1.49  .
% 0.74/1.49  clause( 2264, [ p2( f6( X, c13 ), f6( X, c18 ) ) ] )
% 0.74/1.49  .
% 0.74/1.49  clause( 2366, [ p2( f4( f6( X, c13 ) ), f4( f6( X, c18 ) ) ) ] )
% 0.74/1.49  .
% 0.74/1.49  clause( 2484, [ p11( f4( f6( X, c18 ) ), Y ), ~( p11( f4( f6( X, c13 ) ), Y
% 0.74/1.49     ) ) ] )
% 0.74/1.49  .
% 0.74/1.49  clause( 17832, [] )
% 0.74/1.49  .
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  % SZS output end Refutation
% 0.74/1.49  found a proof!
% 0.74/1.49  
% 0.74/1.49  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.49  
% 0.74/1.49  initialclauses(
% 0.74/1.49  [ clause( 17834, [ p7( X, X ) ] )
% 0.74/1.49  , clause( 17835, [ p2( X, X ) ] )
% 0.74/1.49  , clause( 17836, [ p5( X, X ) ] )
% 0.74/1.49  , clause( 17837, [ p12( c18, c14 ) ] )
% 0.74/1.49  , clause( 17838, [ p2( c13, c18 ) ] )
% 0.74/1.49  , clause( 17839, [ p2( f3( c18 ), f8( f9( c17 ) ) ) ] )
% 0.74/1.49  , clause( 17840, [ p11( f4( f6( c15, c13 ) ), c16 ) ] )
% 0.74/1.49  , clause( 17841, [ p11( f4( f6( c15, c14 ) ), c16 ) ] )
% 0.74/1.49  , clause( 17842, [ ~( p11( f4( f6( c15, c18 ) ), c16 ) ) ] )
% 0.74/1.49  , clause( 17843, [ p11( X, Y ), ~( p12( X, Y ) ) ] )
% 0.74/1.49  , clause( 17844, [ p11( X, Y ), ~( p2( X, Y ) ) ] )
% 0.74/1.49  , clause( 17845, [ p7( f9( X ), f9( Y ) ), ~( p7( X, Y ) ) ] )
% 0.74/1.49  , clause( 17846, [ p2( f3( X ), f3( Y ) ), ~( p2( X, Y ) ) ] )
% 0.74/1.49  , clause( 17847, [ p2( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.74/1.49  , clause( 17848, [ p2( f8( X ), f8( Y ) ), ~( p7( X, Y ) ) ] )
% 0.74/1.49  , clause( 17849, [ p12( X, Y ), p2( X, Y ), ~( p11( X, Y ) ) ] )
% 0.74/1.49  , clause( 17850, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 0.74/1.49  , clause( 17851, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.74/1.49  , clause( 17852, [ p5( X, Y ), ~( p5( Z, X ) ), ~( p5( Z, Y ) ) ] )
% 0.74/1.49  , clause( 17853, [ p10( c15, f3( X ), X ), ~( p11( X, c14 ) ), ~( p11( c13
% 0.74/1.49    , X ) ) ] )
% 0.74/1.49  , clause( 17854, [ p11( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p11( Z
% 0.74/1.49    , T ) ) ] )
% 0.74/1.49  , clause( 17855, [ p12( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p12( Z
% 0.74/1.49    , T ) ) ] )
% 0.74/1.49  , clause( 17856, [ p2( f6( X, Y ), f6( Z, T ) ), ~( p2( Y, T ) ), ~( p5( X
% 0.74/1.49    , Z ) ) ] )
% 0.74/1.49  , clause( 17857, [ p10( X, Y, Z ), ~( p5( T, X ) ), ~( p2( U, Z ) ), ~( p2( 
% 0.74/1.49    W, Y ) ), ~( p10( T, W, U ) ) ] )
% 0.74/1.49  , clause( 17858, [ p11( f4( f6( c15, X ) ), c16 ), ~( p12( X, c14 ) ), ~( 
% 0.74/1.49    p12( c13, X ) ), ~( p2( f3( X ), f8( f9( c17 ) ) ) ) ] )
% 0.74/1.49  ] ).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  subsumption(
% 0.74/1.49  clause( 1, [ p2( X, X ) ] )
% 0.74/1.49  , clause( 17835, [ p2( X, X ) ] )
% 0.74/1.49  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  subsumption(
% 0.74/1.49  clause( 2, [ p5( X, X ) ] )
% 0.74/1.49  , clause( 17836, [ p5( X, X ) ] )
% 0.74/1.49  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  subsumption(
% 0.74/1.49  clause( 4, [ p2( c13, c18 ) ] )
% 0.74/1.49  , clause( 17838, [ p2( c13, c18 ) ] )
% 0.74/1.49  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  subsumption(
% 0.74/1.49  clause( 6, [ p11( f4( f6( c15, c13 ) ), c16 ) ] )
% 0.74/1.49  , clause( 17840, [ p11( f4( f6( c15, c13 ) ), c16 ) ] )
% 0.74/1.49  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  subsumption(
% 0.74/1.49  clause( 8, [ ~( p11( f4( f6( c15, c18 ) ), c16 ) ) ] )
% 0.74/1.49  , clause( 17842, [ ~( p11( f4( f6( c15, c18 ) ), c16 ) ) ] )
% 0.74/1.49  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  subsumption(
% 0.74/1.49  clause( 13, [ p2( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.74/1.49  , clause( 17847, [ p2( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.74/1.49  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.49     ), ==>( 1, 1 )] ) ).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  subsumption(
% 0.74/1.49  clause( 17, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.74/1.49  , clause( 17851, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.74/1.49  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.74/1.49    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  subsumption(
% 0.74/1.49  clause( 20, [ p11( X, Y ), ~( p11( Z, T ) ), ~( p2( Z, X ) ), ~( p2( T, Y )
% 0.74/1.49     ) ] )
% 0.74/1.49  , clause( 17854, [ p11( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p11( Z
% 0.74/1.49    , T ) ) ] )
% 0.74/1.49  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.74/1.49    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 3 ), ==>( 3, 1 )] )
% 0.74/1.49     ).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  subsumption(
% 0.74/1.49  clause( 22, [ p2( f6( X, Y ), f6( Z, T ) ), ~( p5( X, Z ) ), ~( p2( Y, T )
% 0.74/1.49     ) ] )
% 0.74/1.49  , clause( 17856, [ p2( f6( X, Y ), f6( Z, T ) ), ~( p2( Y, T ) ), ~( p5( X
% 0.74/1.49    , Z ) ) ] )
% 0.74/1.49  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.74/1.49    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  resolution(
% 0.74/1.49  clause( 17871, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.74/1.49  , clause( 17, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.74/1.49  , 2, clause( 1, [ p2( X, X ) ] )
% 0.74/1.49  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ), 
% 0.74/1.49    substitution( 1, [ :=( X, X )] )).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  subsumption(
% 0.74/1.49  clause( 69, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.74/1.49  , clause( 17871, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.74/1.49  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.74/1.49     ), ==>( 1, 0 )] ) ).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  resolution(
% 0.74/1.49  clause( 17872, [ p2( c18, c13 ) ] )
% 0.74/1.49  , clause( 69, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.74/1.49  , 1, clause( 4, [ p2( c13, c18 ) ] )
% 0.74/1.49  , 0, substitution( 0, [ :=( X, c13 ), :=( Y, c18 )] ), substitution( 1, [] )
% 0.74/1.49    ).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  subsumption(
% 0.74/1.49  clause( 78, [ p2( c18, c13 ) ] )
% 0.74/1.49  , clause( 17872, [ p2( c18, c13 ) ] )
% 0.74/1.49  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  resolution(
% 0.74/1.49  clause( 17874, [ p11( X, Y ), ~( p11( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.74/1.49  , clause( 20, [ p11( X, Y ), ~( p11( Z, T ) ), ~( p2( Z, X ) ), ~( p2( T, Y
% 0.74/1.49     ) ) ] )
% 0.74/1.49  , 3, clause( 1, [ p2( X, X ) ] )
% 0.74/1.49  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y )] ), 
% 0.74/1.49    substitution( 1, [ :=( X, Y )] )).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  subsumption(
% 0.74/1.49  clause( 104, [ p11( X, Y ), ~( p11( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.74/1.49  , clause( 17874, [ p11( X, Y ), ~( p11( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.74/1.49  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.74/1.49    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  resolution(
% 0.74/1.49  clause( 17875, [ p2( f6( X, c18 ), f6( Y, c13 ) ), ~( p5( X, Y ) ) ] )
% 0.74/1.49  , clause( 22, [ p2( f6( X, Y ), f6( Z, T ) ), ~( p5( X, Z ) ), ~( p2( Y, T
% 0.74/1.49     ) ) ] )
% 0.74/1.49  , 2, clause( 78, [ p2( c18, c13 ) ] )
% 0.74/1.49  , 0, substitution( 0, [ :=( X, X ), :=( Y, c18 ), :=( Z, Y ), :=( T, c13 )] )
% 0.74/1.49    , substitution( 1, [] )).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  subsumption(
% 0.74/1.49  clause( 150, [ p2( f6( X, c18 ), f6( Y, c13 ) ), ~( p5( X, Y ) ) ] )
% 0.74/1.49  , clause( 17875, [ p2( f6( X, c18 ), f6( Y, c13 ) ), ~( p5( X, Y ) ) ] )
% 0.74/1.49  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.49     ), ==>( 1, 1 )] ) ).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  resolution(
% 0.74/1.49  clause( 17876, [ p2( f6( X, c18 ), f6( X, c13 ) ) ] )
% 0.74/1.49  , clause( 150, [ p2( f6( X, c18 ), f6( Y, c13 ) ), ~( p5( X, Y ) ) ] )
% 0.74/1.49  , 1, clause( 2, [ p5( X, X ) ] )
% 0.74/1.49  , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.74/1.49    , X )] )).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  subsumption(
% 0.74/1.49  clause( 2230, [ p2( f6( X, c18 ), f6( X, c13 ) ) ] )
% 0.74/1.49  , clause( 17876, [ p2( f6( X, c18 ), f6( X, c13 ) ) ] )
% 0.74/1.49  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  resolution(
% 0.74/1.49  clause( 17877, [ p2( f6( X, c13 ), f6( X, c18 ) ) ] )
% 0.74/1.49  , clause( 69, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.74/1.49  , 1, clause( 2230, [ p2( f6( X, c18 ), f6( X, c13 ) ) ] )
% 0.74/1.49  , 0, substitution( 0, [ :=( X, f6( X, c18 ) ), :=( Y, f6( X, c13 ) )] ), 
% 0.74/1.49    substitution( 1, [ :=( X, X )] )).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  subsumption(
% 0.74/1.49  clause( 2264, [ p2( f6( X, c13 ), f6( X, c18 ) ) ] )
% 0.74/1.49  , clause( 17877, [ p2( f6( X, c13 ), f6( X, c18 ) ) ] )
% 0.74/1.49  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  resolution(
% 0.74/1.49  clause( 17878, [ p2( f4( f6( X, c13 ) ), f4( f6( X, c18 ) ) ) ] )
% 0.74/1.49  , clause( 13, [ p2( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.74/1.49  , 1, clause( 2264, [ p2( f6( X, c13 ), f6( X, c18 ) ) ] )
% 0.74/1.49  , 0, substitution( 0, [ :=( X, f6( X, c13 ) ), :=( Y, f6( X, c18 ) )] ), 
% 0.74/1.49    substitution( 1, [ :=( X, X )] )).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  subsumption(
% 0.74/1.49  clause( 2366, [ p2( f4( f6( X, c13 ) ), f4( f6( X, c18 ) ) ) ] )
% 0.74/1.49  , clause( 17878, [ p2( f4( f6( X, c13 ) ), f4( f6( X, c18 ) ) ) ] )
% 0.74/1.49  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  resolution(
% 0.74/1.49  clause( 17879, [ p11( f4( f6( X, c18 ) ), Y ), ~( p11( f4( f6( X, c13 ) ), 
% 0.74/1.49    Y ) ) ] )
% 0.74/1.49  , clause( 104, [ p11( X, Y ), ~( p11( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.74/1.49  , 2, clause( 2366, [ p2( f4( f6( X, c13 ) ), f4( f6( X, c18 ) ) ) ] )
% 0.74/1.49  , 0, substitution( 0, [ :=( X, f4( f6( X, c18 ) ) ), :=( Y, Y ), :=( Z, f4( 
% 0.74/1.49    f6( X, c13 ) ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  subsumption(
% 0.74/1.49  clause( 2484, [ p11( f4( f6( X, c18 ) ), Y ), ~( p11( f4( f6( X, c13 ) ), Y
% 0.74/1.49     ) ) ] )
% 0.74/1.49  , clause( 17879, [ p11( f4( f6( X, c18 ) ), Y ), ~( p11( f4( f6( X, c13 ) )
% 0.74/1.49    , Y ) ) ] )
% 0.74/1.49  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.74/1.49     ), ==>( 1, 1 )] ) ).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  resolution(
% 0.74/1.49  clause( 17880, [ p11( f4( f6( c15, c18 ) ), c16 ) ] )
% 0.74/1.49  , clause( 2484, [ p11( f4( f6( X, c18 ) ), Y ), ~( p11( f4( f6( X, c13 ) )
% 0.74/1.49    , Y ) ) ] )
% 0.74/1.49  , 1, clause( 6, [ p11( f4( f6( c15, c13 ) ), c16 ) ] )
% 0.74/1.49  , 0, substitution( 0, [ :=( X, c15 ), :=( Y, c16 )] ), substitution( 1, [] )
% 0.74/1.49    ).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  resolution(
% 0.74/1.49  clause( 17881, [] )
% 0.74/1.49  , clause( 8, [ ~( p11( f4( f6( c15, c18 ) ), c16 ) ) ] )
% 0.74/1.49  , 0, clause( 17880, [ p11( f4( f6( c15, c18 ) ), c16 ) ] )
% 0.74/1.49  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  subsumption(
% 0.74/1.49  clause( 17832, [] )
% 0.74/1.49  , clause( 17881, [] )
% 0.74/1.49  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  end.
% 0.74/1.49  
% 0.74/1.49  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.74/1.49  
% 0.74/1.49  Memory use:
% 0.74/1.49  
% 0.74/1.49  space for terms:        350311
% 0.74/1.49  space for clauses:      877883
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  clauses generated:      18662
% 0.74/1.49  clauses kept:           17833
% 0.74/1.49  clauses selected:       1037
% 0.74/1.49  clauses deleted:        4
% 0.74/1.49  clauses inuse deleted:  1
% 0.74/1.49  
% 0.74/1.49  subsentry:          38750
% 0.74/1.49  literals s-matched: 33718
% 0.74/1.49  literals matched:   33703
% 0.74/1.49  full subsumption:   250
% 0.74/1.49  
% 0.74/1.49  checksum:           1398681224
% 0.74/1.49  
% 0.74/1.49  
% 0.74/1.49  Bliksem ended
%------------------------------------------------------------------------------