↑ Up

Bliksem---1.12.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN596-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n028.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 02:53:14 EDT 2022

% Result   : Unsatisfiable 0.41s 1.06s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYN596-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n028.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 17:27:14 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.41/1.06  *** allocated 10000 integers for termspace/termends
% 0.41/1.06  *** allocated 10000 integers for clauses
% 0.41/1.06  *** allocated 10000 integers for justifications
% 0.41/1.06  Bliksem 1.12
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  Automatic Strategy Selection
% 0.41/1.06  
% 0.41/1.06  Clauses:
% 0.41/1.06  [
% 0.41/1.06     [ p10( X, X ) ],
% 0.41/1.06     [ p9( X, X ) ],
% 0.41/1.06     [ p3( X, X ) ],
% 0.41/1.06     [ p2( X, X ) ],
% 0.41/1.06     [ p12( X, X ) ],
% 0.41/1.06     [ p16( c21, c22 ) ],
% 0.41/1.06     [ p17( c21, f8( c20 ) ) ],
% 0.41/1.06     [ p16( f5( f6( f7( c19 ) ) ), f4( c20 ) ) ],
% 0.41/1.06     [ p3( f8( X ), f8( Y ) ), ~( p2( X, Y ) ) ],
% 0.41/1.06     [ p3( f15( X ), f15( Y ) ), ~( p2( X, Y ) ) ],
% 0.41/1.06     [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ],
% 0.41/1.06     [ p3( f5( X ), f5( Y ) ), ~( p3( X, Y ) ) ],
% 0.41/1.06     [ p3( f6( X ), f6( Y ) ), ~( p3( X, Y ) ) ],
% 0.41/1.06     [ p3( f7( X ), f7( Y ) ), ~( p3( X, Y ) ) ],
% 0.41/1.06     [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ],
% 0.41/1.06     [ p9( X, Y ), ~( p9( Z, X ) ), ~( p9( Z, Y ) ) ],
% 0.41/1.06     [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ],
% 0.41/1.06     [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.41/1.06     [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ],
% 0.41/1.06     [ p18( c20, f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) ), c23, c24 ) )
% 0.41/1.06     ],
% 0.41/1.06     [ ~( p18( c20, f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) ), c23, c24 )
% 0.41/1.06     ) ) ],
% 0.41/1.06     [ p16( X, Y ), ~( p3( Z, X ) ), ~( p3( T, Y ) ), ~( p16( Z, T ) ) ],
% 0.41/1.06     [ p18( X, Y ), ~( p18( Z, T ) ), ~( p2( Z, X ) ), ~( p10( T, Y ) ) ]
% 0.41/1.06    ,
% 0.41/1.06     [ p17( X, Y ), ~( p3( Z, X ) ), ~( p3( T, Y ) ), ~( p17( Z, T ) ) ],
% 0.41/1.06     [ p2( f13( X, Y ), f13( Z, T ) ), ~( p12( Y, T ) ), ~( p3( X, Z ) ) ]
% 0.41/1.06    ,
% 0.41/1.06     [ p12( f14( X, Y ), f14( Z, T ) ), ~( p3( X, Z ) ), ~( p3( Y, T ) ) ]
% 0.41/1.06    ,
% 0.41/1.06     [ p10( f11( X, Y, Z ), f11( T, U, W ) ), ~( p2( X, T ) ), ~( p9( Y, U )
% 0.41/1.06     ), ~( p10( Z, W ) ) ],
% 0.41/1.06     [ p10( f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) ), c23, c24 ), f11( 
% 0.41/1.06    f13( f15( c20 ), f14( f4( c20 ), c21 ) ), c23, c24 ) ) ]
% 0.41/1.06  ] .
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  percentage equality = 0.000000, percentage horn = 1.000000
% 0.41/1.06  This is a near-Horn, non-equality  problem
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  Options Used:
% 0.41/1.06  
% 0.41/1.06  useres =            1
% 0.41/1.06  useparamod =        0
% 0.41/1.06  useeqrefl =         0
% 0.41/1.06  useeqfact =         0
% 0.41/1.06  usefactor =         1
% 0.41/1.06  usesimpsplitting =  0
% 0.41/1.06  usesimpdemod =      0
% 0.41/1.06  usesimpres =        4
% 0.41/1.06  
% 0.41/1.06  resimpinuse      =  1000
% 0.41/1.06  resimpclauses =     20000
% 0.41/1.06  substype =          standard
% 0.41/1.06  backwardsubs =      1
% 0.41/1.06  selectoldest =      5
% 0.41/1.06  
% 0.41/1.06  litorderings [0] =  split
% 0.41/1.06  litorderings [1] =  liftord
% 0.41/1.06  
% 0.41/1.06  termordering =      none
% 0.41/1.06  
% 0.41/1.06  litapriori =        1
% 0.41/1.06  termapriori =       0
% 0.41/1.06  litaposteriori =    0
% 0.41/1.06  termaposteriori =   0
% 0.41/1.06  demodaposteriori =  0
% 0.41/1.06  ordereqreflfact =   0
% 0.41/1.06  
% 0.41/1.06  litselect =         negative
% 0.41/1.06  
% 0.41/1.06  maxweight =         30000
% 0.41/1.06  maxdepth =          30000
% 0.41/1.06  maxlength =         115
% 0.41/1.06  maxnrvars =         195
% 0.41/1.06  excuselevel =       0
% 0.41/1.06  increasemaxweight = 0
% 0.41/1.06  
% 0.41/1.06  maxselected =       10000000
% 0.41/1.06  maxnrclauses =      10000000
% 0.41/1.06  
% 0.41/1.06  showgenerated =    0
% 0.41/1.06  showkept =         0
% 0.41/1.06  showselected =     0
% 0.41/1.06  showdeleted =      0
% 0.41/1.06  showresimp =       1
% 0.41/1.06  showstatus =       2000
% 0.41/1.06  
% 0.41/1.06  prologoutput =     1
% 0.41/1.06  nrgoals =          5000000
% 0.41/1.06  totalproof =       1
% 0.41/1.06  
% 0.41/1.06  Symbols occurring in the translation:
% 0.41/1.06  
% 0.41/1.06  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.41/1.06  .  [1, 2]      (w:1, o:79, a:1, s:1, b:0), 
% 0.41/1.06  !  [4, 1]      (w:1, o:68, a:1, s:1, b:0), 
% 0.41/1.06  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.41/1.06  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.41/1.06  p10  [40, 2]      (w:1, o:104, a:1, s:1, b:0), 
% 0.41/1.06  p9  [42, 2]      (w:1, o:105, a:1, s:1, b:0), 
% 0.41/1.06  p3  [44, 2]      (w:1, o:111, a:1, s:1, b:0), 
% 0.41/1.06  p2  [46, 2]      (w:1, o:110, a:1, s:1, b:0), 
% 0.41/1.06  p12  [48, 2]      (w:1, o:106, a:1, s:1, b:0), 
% 0.41/1.06  c21  [49, 0]      (w:1, o:59, a:1, s:1, b:0), 
% 0.41/1.06  c22  [50, 0]      (w:1, o:60, a:1, s:1, b:0), 
% 0.41/1.06  p16  [51, 2]      (w:1, o:107, a:1, s:1, b:0), 
% 0.41/1.06  c20  [52, 0]      (w:1, o:58, a:1, s:1, b:0), 
% 0.41/1.06  f8  [53, 1]      (w:1, o:77, a:1, s:1, b:0), 
% 0.41/1.06  p17  [54, 2]      (w:1, o:108, a:1, s:1, b:0), 
% 0.41/1.06  c19  [55, 0]      (w:1, o:57, a:1, s:1, b:0), 
% 0.41/1.06  f7  [56, 1]      (w:1, o:76, a:1, s:1, b:0), 
% 0.41/1.06  f6  [57, 1]      (w:1, o:75, a:1, s:1, b:0), 
% 0.41/1.06  f5  [58, 1]      (w:1, o:74, a:1, s:1, b:0), 
% 0.41/1.06  f4  [59, 1]      (w:1, o:73, a:1, s:1, b:0), 
% 0.41/1.06  f15  [63, 1]      (w:1, o:78, a:1, s:1, b:0), 
% 0.41/1.06  f14  [83, 2]      (w:1, o:113, a:1, s:1, b:0), 
% 0.41/1.06  f13  [84, 2]      (w:1, o:112, a:1, s:1, b:0), 
% 0.41/1.06  c23  [85, 0]      (w:1, o:63, a:1, s:1, b:0), 
% 0.41/1.06  c24  [86, 0]      (w:1, o:64, a:1, s:1, b:0), 
% 0.41/1.06  f11  [87, 3]      (w:1, o:114, a:1, s:1, b:0), 
% 0.41/1.06  p18  [88, 2]      (w:1, o:109, a:1, s:1, b:0).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  Starting Search:
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  Bliksems!, er is een bewijs:
% 0.41/1.06  % SZS status Unsatisfiable
% 0.41/1.06  % SZS output start Refutation
% 0.41/1.06  
% 0.41/1.06  clause( 0, [ p10( X, X ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 3, [ p2( X, X ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 14, [ ~( p10( Z, X ) ), p10( X, Y ), ~( p10( Z, Y ) ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 19, [ p18( c20, f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) ), c23
% 0.41/1.06    , c24 ) ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 20, [ ~( p18( c20, f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) ), 
% 0.41/1.06    c23, c24 ) ) ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 22, [ p18( X, Y ), ~( p18( Z, T ) ), ~( p2( Z, X ) ), ~( p10( T, Y
% 0.41/1.06     ) ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 27, [ p10( f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) ), c23, c24
% 0.41/1.06     ), f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) ), c23, c24 ) ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 32, [ p10( Y, X ), ~( p10( X, Y ) ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 44, [ p10( f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) ), c23, c24
% 0.41/1.06     ), f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) ), c23, c24 ) ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 48, [ ~( p18( Y, f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) ), c23
% 0.41/1.06    , c24 ) ) ), p18( X, f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) ), c23, 
% 0.41/1.06    c24 ) ), ~( p2( Y, X ) ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 51, [ p18( X, f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) ), c23, 
% 0.41/1.06    c24 ) ), ~( p18( X, f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) ), c23, 
% 0.41/1.06    c24 ) ) ) ] )
% 0.41/1.06  .
% 0.41/1.06  clause( 52, [] )
% 0.41/1.06  .
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  % SZS output end Refutation
% 0.41/1.06  found a proof!
% 0.41/1.06  
% 0.41/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.06  
% 0.41/1.06  initialclauses(
% 0.41/1.06  [ clause( 54, [ p10( X, X ) ] )
% 0.41/1.06  , clause( 55, [ p9( X, X ) ] )
% 0.41/1.06  , clause( 56, [ p3( X, X ) ] )
% 0.41/1.06  , clause( 57, [ p2( X, X ) ] )
% 0.41/1.06  , clause( 58, [ p12( X, X ) ] )
% 0.41/1.06  , clause( 59, [ p16( c21, c22 ) ] )
% 0.41/1.06  , clause( 60, [ p17( c21, f8( c20 ) ) ] )
% 0.41/1.06  , clause( 61, [ p16( f5( f6( f7( c19 ) ) ), f4( c20 ) ) ] )
% 0.41/1.06  , clause( 62, [ p3( f8( X ), f8( Y ) ), ~( p2( X, Y ) ) ] )
% 0.41/1.06  , clause( 63, [ p3( f15( X ), f15( Y ) ), ~( p2( X, Y ) ) ] )
% 0.41/1.06  , clause( 64, [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.41/1.06  , clause( 65, [ p3( f5( X ), f5( Y ) ), ~( p3( X, Y ) ) ] )
% 0.41/1.06  , clause( 66, [ p3( f6( X ), f6( Y ) ), ~( p3( X, Y ) ) ] )
% 0.41/1.06  , clause( 67, [ p3( f7( X ), f7( Y ) ), ~( p3( X, Y ) ) ] )
% 0.41/1.06  , clause( 68, [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ] )
% 0.41/1.06  , clause( 69, [ p9( X, Y ), ~( p9( Z, X ) ), ~( p9( Z, Y ) ) ] )
% 0.41/1.06  , clause( 70, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 0.41/1.06  , clause( 71, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.41/1.06  , clause( 72, [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ] )
% 0.41/1.06  , clause( 73, [ p18( c20, f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) ), 
% 0.41/1.06    c23, c24 ) ) ] )
% 0.41/1.06  , clause( 74, [ ~( p18( c20, f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) )
% 0.41/1.06    , c23, c24 ) ) ) ] )
% 0.41/1.06  , clause( 75, [ p16( X, Y ), ~( p3( Z, X ) ), ~( p3( T, Y ) ), ~( p16( Z, T
% 0.41/1.06     ) ) ] )
% 0.41/1.06  , clause( 76, [ p18( X, Y ), ~( p18( Z, T ) ), ~( p2( Z, X ) ), ~( p10( T, 
% 0.41/1.06    Y ) ) ] )
% 0.41/1.06  , clause( 77, [ p17( X, Y ), ~( p3( Z, X ) ), ~( p3( T, Y ) ), ~( p17( Z, T
% 0.41/1.06     ) ) ] )
% 0.41/1.06  , clause( 78, [ p2( f13( X, Y ), f13( Z, T ) ), ~( p12( Y, T ) ), ~( p3( X
% 0.41/1.06    , Z ) ) ] )
% 0.41/1.06  , clause( 79, [ p12( f14( X, Y ), f14( Z, T ) ), ~( p3( X, Z ) ), ~( p3( Y
% 0.41/1.06    , T ) ) ] )
% 0.41/1.06  , clause( 80, [ p10( f11( X, Y, Z ), f11( T, U, W ) ), ~( p2( X, T ) ), ~( 
% 0.41/1.06    p9( Y, U ) ), ~( p10( Z, W ) ) ] )
% 0.41/1.06  , clause( 81, [ p10( f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) ), c23, 
% 0.41/1.06    c24 ), f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) ), c23, c24 ) ) ] )
% 0.41/1.06  ] ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 0, [ p10( X, X ) ] )
% 0.41/1.06  , clause( 54, [ p10( X, X ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 3, [ p2( X, X ) ] )
% 0.41/1.06  , clause( 57, [ p2( X, X ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 14, [ ~( p10( Z, X ) ), p10( X, Y ), ~( p10( Z, Y ) ) ] )
% 0.41/1.06  , clause( 68, [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.41/1.06    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 19, [ p18( c20, f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) ), c23
% 0.41/1.06    , c24 ) ) ] )
% 0.41/1.06  , clause( 73, [ p18( c20, f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) ), 
% 0.41/1.06    c23, c24 ) ) ] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 20, [ ~( p18( c20, f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) ), 
% 0.41/1.06    c23, c24 ) ) ) ] )
% 0.41/1.06  , clause( 74, [ ~( p18( c20, f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) )
% 0.41/1.06    , c23, c24 ) ) ) ] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 22, [ p18( X, Y ), ~( p18( Z, T ) ), ~( p2( Z, X ) ), ~( p10( T, Y
% 0.41/1.06     ) ) ] )
% 0.41/1.06  , clause( 76, [ p18( X, Y ), ~( p18( Z, T ) ), ~( p2( Z, X ) ), ~( p10( T, 
% 0.41/1.06    Y ) ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.41/1.06    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.41/1.06     ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 27, [ p10( f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) ), c23, c24
% 0.41/1.06     ), f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) ), c23, c24 ) ) ] )
% 0.41/1.06  , clause( 81, [ p10( f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) ), c23, 
% 0.41/1.06    c24 ), f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) ), c23, c24 ) ) ] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 108, [ ~( p10( X, Y ) ), p10( Y, X ) ] )
% 0.41/1.06  , clause( 14, [ ~( p10( Z, X ) ), p10( X, Y ), ~( p10( Z, Y ) ) ] )
% 0.41/1.06  , 2, clause( 0, [ p10( X, X ) ] )
% 0.41/1.06  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ), 
% 0.41/1.06    substitution( 1, [ :=( X, X )] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 32, [ p10( Y, X ), ~( p10( X, Y ) ) ] )
% 0.41/1.06  , clause( 108, [ ~( p10( X, Y ) ), p10( Y, X ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.41/1.06     ), ==>( 1, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 109, [ p10( f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) ), c23, c24
% 0.41/1.06     ), f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) ), c23, c24 ) ) ] )
% 0.41/1.06  , clause( 32, [ p10( Y, X ), ~( p10( X, Y ) ) ] )
% 0.41/1.06  , 1, clause( 27, [ p10( f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) ), c23
% 0.41/1.06    , c24 ), f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) ), c23, c24 ) ) ] )
% 0.41/1.06  , 0, substitution( 0, [ :=( X, f11( f13( f15( c20 ), f14( f4( c20 ), c22 )
% 0.41/1.06     ), c23, c24 ) ), :=( Y, f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) ), 
% 0.41/1.06    c23, c24 ) )] ), substitution( 1, [] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 44, [ p10( f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) ), c23, c24
% 0.41/1.06     ), f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) ), c23, c24 ) ) ] )
% 0.41/1.06  , clause( 109, [ p10( f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) ), c23, 
% 0.41/1.06    c24 ), f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) ), c23, c24 ) ) ] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 110, [ p18( X, f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) ), c23, 
% 0.41/1.06    c24 ) ), ~( p18( Y, f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) ), c23, 
% 0.41/1.06    c24 ) ) ), ~( p2( Y, X ) ) ] )
% 0.41/1.06  , clause( 22, [ p18( X, Y ), ~( p18( Z, T ) ), ~( p2( Z, X ) ), ~( p10( T, 
% 0.41/1.06    Y ) ) ] )
% 0.41/1.06  , 3, clause( 44, [ p10( f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) ), c23
% 0.41/1.06    , c24 ), f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) ), c23, c24 ) ) ] )
% 0.41/1.06  , 0, substitution( 0, [ :=( X, X ), :=( Y, f11( f13( f15( c20 ), f14( f4( 
% 0.41/1.06    c20 ), c22 ) ), c23, c24 ) ), :=( Z, Y ), :=( T, f11( f13( f15( c20 ), 
% 0.41/1.06    f14( f4( c20 ), c21 ) ), c23, c24 ) )] ), substitution( 1, [] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 48, [ ~( p18( Y, f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) ), c23
% 0.41/1.06    , c24 ) ) ), p18( X, f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) ), c23, 
% 0.41/1.06    c24 ) ), ~( p2( Y, X ) ) ] )
% 0.41/1.06  , clause( 110, [ p18( X, f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) ), c23
% 0.41/1.06    , c24 ) ), ~( p18( Y, f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) ), c23
% 0.41/1.06    , c24 ) ) ), ~( p2( Y, X ) ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.41/1.06     ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 111, [ ~( p18( X, f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) ), 
% 0.41/1.06    c23, c24 ) ) ), p18( X, f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) ), 
% 0.41/1.06    c23, c24 ) ) ] )
% 0.41/1.06  , clause( 48, [ ~( p18( Y, f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) ), 
% 0.41/1.06    c23, c24 ) ) ), p18( X, f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) ), 
% 0.41/1.06    c23, c24 ) ), ~( p2( Y, X ) ) ] )
% 0.41/1.06  , 2, clause( 3, [ p2( X, X ) ] )
% 0.41/1.06  , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.41/1.06    , X )] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 51, [ p18( X, f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) ), c23, 
% 0.41/1.06    c24 ) ), ~( p18( X, f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) ), c23, 
% 0.41/1.06    c24 ) ) ) ] )
% 0.41/1.06  , clause( 111, [ ~( p18( X, f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) ), 
% 0.41/1.06    c23, c24 ) ) ), p18( X, f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) ), 
% 0.41/1.06    c23, c24 ) ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.41/1.06    0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 112, [ p18( c20, f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) ), c23
% 0.41/1.06    , c24 ) ) ] )
% 0.41/1.06  , clause( 51, [ p18( X, f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) ), c23
% 0.41/1.06    , c24 ) ), ~( p18( X, f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) ), c23
% 0.41/1.06    , c24 ) ) ) ] )
% 0.41/1.06  , 1, clause( 19, [ p18( c20, f11( f13( f15( c20 ), f14( f4( c20 ), c21 ) )
% 0.41/1.06    , c23, c24 ) ) ] )
% 0.41/1.06  , 0, substitution( 0, [ :=( X, c20 )] ), substitution( 1, [] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 113, [] )
% 0.41/1.06  , clause( 20, [ ~( p18( c20, f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) )
% 0.41/1.06    , c23, c24 ) ) ) ] )
% 0.41/1.06  , 0, clause( 112, [ p18( c20, f11( f13( f15( c20 ), f14( f4( c20 ), c22 ) )
% 0.41/1.06    , c23, c24 ) ) ] )
% 0.41/1.06  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 52, [] )
% 0.41/1.06  , clause( 113, [] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  end.
% 0.41/1.06  
% 0.41/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.06  
% 0.41/1.06  Memory use:
% 0.41/1.06  
% 0.41/1.06  space for terms:        1431
% 0.41/1.06  space for clauses:      3971
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  clauses generated:      83
% 0.41/1.06  clauses kept:           53
% 0.41/1.06  clauses selected:       49
% 0.41/1.06  clauses deleted:        0
% 0.41/1.06  clauses inuse deleted:  0
% 0.41/1.06  
% 0.41/1.06  subsentry:          70
% 0.41/1.06  literals s-matched: 36
% 0.41/1.06  literals matched:   36
% 0.41/1.06  full subsumption:   0
% 0.41/1.06  
% 0.41/1.06  checksum:           -825079235
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  Bliksem ended
%------------------------------------------------------------------------------