TSTP Solution File: SYN565-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN565-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n027.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 02:53:00 EDT 2022

% Result   : Unsatisfiable 0.81s 1.27s
% Output   : Refutation 0.81s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14  % Problem  : SYN565-1 : TPTP v8.1.0. Released v2.5.0.
% 0.14/0.15  % Command  : bliksem %s
% 0.14/0.36  % Computer : n027.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % DateTime : Mon Jul 11 19:55:34 EDT 2022
% 0.14/0.37  % CPUTime  : 
% 0.81/1.26  *** allocated 10000 integers for termspace/termends
% 0.81/1.26  *** allocated 10000 integers for clauses
% 0.81/1.26  *** allocated 10000 integers for justifications
% 0.81/1.26  Bliksem 1.12
% 0.81/1.26  
% 0.81/1.26  
% 0.81/1.26  Automatic Strategy Selection
% 0.81/1.26  
% 0.81/1.26  Clauses:
% 0.81/1.26  [
% 0.81/1.26     [ p2( X, X ) ],
% 0.81/1.26     [ p4( X, X ) ],
% 0.81/1.26     [ p2( f5( f7( X ) ), f5( X ) ) ],
% 0.81/1.26     [ p4( f8( X, Y ), f6( X, f7( Y ) ) ) ],
% 0.81/1.26     [ p4( f7( f8( X, Y ) ), f8( Y, X ) ) ],
% 0.81/1.26     [ p2( f5( X ), f5( Y ) ), ~( p4( X, Y ) ) ],
% 0.81/1.26     [ p4( f7( X ), f7( Y ) ), ~( p4( X, Y ) ) ],
% 0.81/1.26     [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.81/1.26     [ p4( X, Y ), ~( p4( Z, X ) ), ~( p4( Z, Y ) ) ],
% 0.81/1.26     [ p10( f5( X ), f3( f5( f6( X, Y ) ), f5( Y ) ) ) ],
% 0.81/1.26     [ ~( p10( f9( f5( c11 ), f5( c12 ) ), f5( f8( c12, c11 ) ) ) ) ],
% 0.81/1.26     [ p10( X, f3( Y, Z ) ), ~( p10( f9( X, Z ), Y ) ) ],
% 0.81/1.26     [ p10( f9( X, Y ), Z ), ~( p10( X, f3( Z, Y ) ) ) ],
% 0.81/1.26     [ p10( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p10( Z, T ) ) ],
% 0.81/1.26     [ p4( f8( X, Y ), f8( Z, T ) ), ~( p4( X, Z ) ), ~( p4( Y, T ) ) ],
% 0.81/1.26     [ p2( f3( X, Y ), f3( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ],
% 0.81/1.26     [ p2( f9( X, Y ), f9( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ],
% 0.81/1.26     [ p4( f6( X, Y ), f6( Z, T ) ), ~( p4( X, Z ) ), ~( p4( Y, T ) ) ]
% 0.81/1.26  ] .
% 0.81/1.26  
% 0.81/1.26  
% 0.81/1.26  percentage equality = 0.000000, percentage horn = 1.000000
% 0.81/1.26  This is a near-Horn, non-equality  problem
% 0.81/1.26  
% 0.81/1.26  
% 0.81/1.26  Options Used:
% 0.81/1.26  
% 0.81/1.26  useres =            1
% 0.81/1.26  useparamod =        0
% 0.81/1.26  useeqrefl =         0
% 0.81/1.26  useeqfact =         0
% 0.81/1.26  usefactor =         1
% 0.81/1.26  usesimpsplitting =  0
% 0.81/1.26  usesimpdemod =      0
% 0.81/1.26  usesimpres =        4
% 0.81/1.26  
% 0.81/1.26  resimpinuse      =  1000
% 0.81/1.26  resimpclauses =     20000
% 0.81/1.26  substype =          standard
% 0.81/1.26  backwardsubs =      1
% 0.81/1.26  selectoldest =      5
% 0.81/1.26  
% 0.81/1.26  litorderings [0] =  split
% 0.81/1.26  litorderings [1] =  liftord
% 0.81/1.26  
% 0.81/1.26  termordering =      none
% 0.81/1.26  
% 0.81/1.26  litapriori =        1
% 0.81/1.26  termapriori =       0
% 0.81/1.26  litaposteriori =    0
% 0.81/1.26  termaposteriori =   0
% 0.81/1.26  demodaposteriori =  0
% 0.81/1.26  ordereqreflfact =   0
% 0.81/1.26  
% 0.81/1.26  litselect =         negative
% 0.81/1.26  
% 0.81/1.26  maxweight =         30000
% 0.81/1.26  maxdepth =          30000
% 0.81/1.26  maxlength =         115
% 0.81/1.26  maxnrvars =         195
% 0.81/1.26  excuselevel =       0
% 0.81/1.26  increasemaxweight = 0
% 0.81/1.26  
% 0.81/1.26  maxselected =       10000000
% 0.81/1.26  maxnrclauses =      10000000
% 0.81/1.26  
% 0.81/1.26  showgenerated =    0
% 0.81/1.27  showkept =         0
% 0.81/1.27  showselected =     0
% 0.81/1.27  showdeleted =      0
% 0.81/1.27  showresimp =       1
% 0.81/1.27  showstatus =       2000
% 0.81/1.27  
% 0.81/1.27  prologoutput =     1
% 0.81/1.27  nrgoals =          5000000
% 0.81/1.27  totalproof =       1
% 0.81/1.27  
% 0.81/1.27  Symbols occurring in the translation:
% 0.81/1.27  
% 0.81/1.27  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.81/1.27  .  [1, 2]      (w:1, o:58, a:1, s:1, b:0), 
% 0.81/1.27  !  [4, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 0.81/1.27  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.81/1.27  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.81/1.27  p2  [40, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 0.81/1.27  p4  [42, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 0.81/1.27  f7  [44, 1]      (w:1, o:56, a:1, s:1, b:0), 
% 0.81/1.27  f5  [45, 1]      (w:1, o:57, a:1, s:1, b:0), 
% 0.81/1.27  f8  [48, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 0.81/1.27  f6  [49, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 0.81/1.27  f3  [62, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 0.81/1.27  p10  [63, 2]      (w:1, o:83, a:1, s:1, b:0), 
% 0.81/1.27  c11  [64, 0]      (w:1, o:43, a:1, s:1, b:0), 
% 0.81/1.27  c12  [65, 0]      (w:1, o:44, a:1, s:1, b:0), 
% 0.81/1.27  f9  [66, 2]      (w:1, o:89, a:1, s:1, b:0).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  Starting Search:
% 0.81/1.27  
% 0.81/1.27  Resimplifying inuse:
% 0.81/1.27  Done
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  Intermediate Status:
% 0.81/1.27  Generated:    2755
% 0.81/1.27  Kept:         2008
% 0.81/1.27  Inuse:        270
% 0.81/1.27  Deleted:      0
% 0.81/1.27  Deletedinuse: 0
% 0.81/1.27  
% 0.81/1.27  Resimplifying inuse:
% 0.81/1.27  Done
% 0.81/1.27  
% 0.81/1.27  Resimplifying inuse:
% 0.81/1.27  Done
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  Intermediate Status:
% 0.81/1.27  Generated:    5036
% 0.81/1.27  Kept:         4008
% 0.81/1.27  Inuse:        360
% 0.81/1.27  Deleted:      7
% 0.81/1.27  Deletedinuse: 7
% 0.81/1.27  
% 0.81/1.27  Resimplifying inuse:
% 0.81/1.27  Done
% 0.81/1.27  
% 0.81/1.27  Resimplifying inuse:
% 0.81/1.27  Done
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  Bliksems!, er is een bewijs:
% 0.81/1.27  % SZS status Unsatisfiable
% 0.81/1.27  % SZS output start Refutation
% 0.81/1.27  
% 0.81/1.27  clause( 0, [ p2( X, X ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 2, [ p2( f5( f7( X ) ), f5( X ) ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 3, [ p4( f8( X, Y ), f6( X, f7( Y ) ) ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 4, [ p4( f7( f8( X, Y ) ), f8( Y, X ) ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 5, [ p2( f5( X ), f5( Y ) ), ~( p4( X, Y ) ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 7, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 9, [ p10( f5( X ), f3( f5( f6( X, Y ) ), f5( Y ) ) ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 10, [ ~( p10( f9( f5( c11 ), f5( c12 ) ), f5( f8( c12, c11 ) ) ) )
% 0.81/1.27     ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 12, [ p10( f9( X, Y ), Z ), ~( p10( X, f3( Z, Y ) ) ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 13, [ p10( X, Y ), ~( p10( Z, T ) ), ~( p2( Z, X ) ), ~( p2( T, Y )
% 0.81/1.27     ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 16, [ ~( p2( X, Z ) ), p2( f9( X, Y ), f9( Z, T ) ), ~( p2( Y, T )
% 0.81/1.27     ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 23, [ p2( f5( f8( X, Y ) ), f5( f6( X, f7( Y ) ) ) ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 24, [ p2( f5( f7( f8( X, Y ) ) ), f5( f8( Y, X ) ) ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 32, [ p2( Y, f5( X ) ), ~( p2( f5( f7( X ) ), Y ) ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 33, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 34, [ p2( f5( f6( X, f7( Y ) ) ), f5( f8( X, Y ) ) ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 35, [ p2( f5( X ), f5( f7( X ) ) ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 74, [ p2( f5( f8( X, Y ) ), f5( f8( Y, X ) ) ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 80, [ p10( f9( f5( X ), f5( Y ) ), f5( f6( X, Y ) ) ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 108, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( T, f5( f8( Z, Y ) ) ) )
% 0.81/1.27    , ~( p2( T, X ) ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 110, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( T, f5( f6( Y, f7( Z ) )
% 0.81/1.27     ) ) ), ~( p2( T, X ) ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 121, [ p10( X, Y ), ~( p10( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 257, [ p2( f9( X, f5( Z ) ), f9( Y, f5( f7( Z ) ) ) ), ~( p2( X, Y
% 0.81/1.27     ) ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 2549, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( X, f5( f8( Z, Y ) ) ) )
% 0.81/1.27     ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 2815, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( X, f5( f6( Y, f7( Z ) )
% 0.81/1.27     ) ) ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 4067, [ p10( f9( f5( X ), f5( f7( Y ) ) ), f5( f8( X, Y ) ) ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 4083, [ p10( f9( f5( X ), f5( f7( Y ) ) ), f5( f8( Y, X ) ) ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 5048, [ p2( f9( X, f5( Y ) ), f9( X, f5( f7( Y ) ) ) ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 5203, [ p2( f9( X, f5( f7( Y ) ) ), f9( X, f5( Y ) ) ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 5227, [ p10( f9( X, f5( Y ) ), Z ), ~( p10( f9( X, f5( f7( Y ) ) )
% 0.81/1.27    , Z ) ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 5484, [ p10( f9( f5( X ), f5( Y ) ), f5( f8( Y, X ) ) ) ] )
% 0.81/1.27  .
% 0.81/1.27  clause( 5506, [] )
% 0.81/1.27  .
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  % SZS output end Refutation
% 0.81/1.27  found a proof!
% 0.81/1.27  
% 0.81/1.27  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.81/1.27  
% 0.81/1.27  initialclauses(
% 0.81/1.27  [ clause( 5508, [ p2( X, X ) ] )
% 0.81/1.27  , clause( 5509, [ p4( X, X ) ] )
% 0.81/1.27  , clause( 5510, [ p2( f5( f7( X ) ), f5( X ) ) ] )
% 0.81/1.27  , clause( 5511, [ p4( f8( X, Y ), f6( X, f7( Y ) ) ) ] )
% 0.81/1.27  , clause( 5512, [ p4( f7( f8( X, Y ) ), f8( Y, X ) ) ] )
% 0.81/1.27  , clause( 5513, [ p2( f5( X ), f5( Y ) ), ~( p4( X, Y ) ) ] )
% 0.81/1.27  , clause( 5514, [ p4( f7( X ), f7( Y ) ), ~( p4( X, Y ) ) ] )
% 0.81/1.27  , clause( 5515, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.81/1.27  , clause( 5516, [ p4( X, Y ), ~( p4( Z, X ) ), ~( p4( Z, Y ) ) ] )
% 0.81/1.27  , clause( 5517, [ p10( f5( X ), f3( f5( f6( X, Y ) ), f5( Y ) ) ) ] )
% 0.81/1.27  , clause( 5518, [ ~( p10( f9( f5( c11 ), f5( c12 ) ), f5( f8( c12, c11 ) )
% 0.81/1.27     ) ) ] )
% 0.81/1.27  , clause( 5519, [ p10( X, f3( Y, Z ) ), ~( p10( f9( X, Z ), Y ) ) ] )
% 0.81/1.27  , clause( 5520, [ p10( f9( X, Y ), Z ), ~( p10( X, f3( Z, Y ) ) ) ] )
% 0.81/1.27  , clause( 5521, [ p10( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p10( Z
% 0.81/1.27    , T ) ) ] )
% 0.81/1.27  , clause( 5522, [ p4( f8( X, Y ), f8( Z, T ) ), ~( p4( X, Z ) ), ~( p4( Y, 
% 0.81/1.27    T ) ) ] )
% 0.81/1.27  , clause( 5523, [ p2( f3( X, Y ), f3( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, 
% 0.81/1.27    T ) ) ] )
% 0.81/1.27  , clause( 5524, [ p2( f9( X, Y ), f9( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, 
% 0.81/1.27    T ) ) ] )
% 0.81/1.27  , clause( 5525, [ p4( f6( X, Y ), f6( Z, T ) ), ~( p4( X, Z ) ), ~( p4( Y, 
% 0.81/1.27    T ) ) ] )
% 0.81/1.27  ] ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 0, [ p2( X, X ) ] )
% 0.81/1.27  , clause( 5508, [ p2( X, X ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 2, [ p2( f5( f7( X ) ), f5( X ) ) ] )
% 0.81/1.27  , clause( 5510, [ p2( f5( f7( X ) ), f5( X ) ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 3, [ p4( f8( X, Y ), f6( X, f7( Y ) ) ) ] )
% 0.81/1.27  , clause( 5511, [ p4( f8( X, Y ), f6( X, f7( Y ) ) ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.27     )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 4, [ p4( f7( f8( X, Y ) ), f8( Y, X ) ) ] )
% 0.81/1.27  , clause( 5512, [ p4( f7( f8( X, Y ) ), f8( Y, X ) ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.27     )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 5, [ p2( f5( X ), f5( Y ) ), ~( p4( X, Y ) ) ] )
% 0.81/1.27  , clause( 5513, [ p2( f5( X ), f5( Y ) ), ~( p4( X, Y ) ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.27     ), ==>( 1, 1 )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 7, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.81/1.27  , clause( 5515, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.81/1.27    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 9, [ p10( f5( X ), f3( f5( f6( X, Y ) ), f5( Y ) ) ) ] )
% 0.81/1.27  , clause( 5517, [ p10( f5( X ), f3( f5( f6( X, Y ) ), f5( Y ) ) ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.27     )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 10, [ ~( p10( f9( f5( c11 ), f5( c12 ) ), f5( f8( c12, c11 ) ) ) )
% 0.81/1.27     ] )
% 0.81/1.27  , clause( 5518, [ ~( p10( f9( f5( c11 ), f5( c12 ) ), f5( f8( c12, c11 ) )
% 0.81/1.27     ) ) ] )
% 0.81/1.27  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 12, [ p10( f9( X, Y ), Z ), ~( p10( X, f3( Z, Y ) ) ) ] )
% 0.81/1.27  , clause( 5520, [ p10( f9( X, Y ), Z ), ~( p10( X, f3( Z, Y ) ) ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.81/1.27    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 13, [ p10( X, Y ), ~( p10( Z, T ) ), ~( p2( Z, X ) ), ~( p2( T, Y )
% 0.81/1.27     ) ] )
% 0.81/1.27  , clause( 5521, [ p10( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p10( Z
% 0.81/1.27    , T ) ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.81/1.27    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 3 ), ==>( 3, 1 )] )
% 0.81/1.27     ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 16, [ ~( p2( X, Z ) ), p2( f9( X, Y ), f9( Z, T ) ), ~( p2( Y, T )
% 0.81/1.27     ) ] )
% 0.81/1.27  , clause( 5524, [ p2( f9( X, Y ), f9( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, 
% 0.81/1.27    T ) ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.81/1.27    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  resolution(
% 0.81/1.27  clause( 5542, [ p2( f5( f8( X, Y ) ), f5( f6( X, f7( Y ) ) ) ) ] )
% 0.81/1.27  , clause( 5, [ p2( f5( X ), f5( Y ) ), ~( p4( X, Y ) ) ] )
% 0.81/1.27  , 1, clause( 3, [ p4( f8( X, Y ), f6( X, f7( Y ) ) ) ] )
% 0.81/1.27  , 0, substitution( 0, [ :=( X, f8( X, Y ) ), :=( Y, f6( X, f7( Y ) ) )] ), 
% 0.81/1.27    substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 23, [ p2( f5( f8( X, Y ) ), f5( f6( X, f7( Y ) ) ) ) ] )
% 0.81/1.27  , clause( 5542, [ p2( f5( f8( X, Y ) ), f5( f6( X, f7( Y ) ) ) ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.27     )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  resolution(
% 0.81/1.27  clause( 5543, [ p2( f5( f7( f8( X, Y ) ) ), f5( f8( Y, X ) ) ) ] )
% 0.81/1.27  , clause( 5, [ p2( f5( X ), f5( Y ) ), ~( p4( X, Y ) ) ] )
% 0.81/1.27  , 1, clause( 4, [ p4( f7( f8( X, Y ) ), f8( Y, X ) ) ] )
% 0.81/1.27  , 0, substitution( 0, [ :=( X, f7( f8( X, Y ) ) ), :=( Y, f8( Y, X ) )] ), 
% 0.81/1.27    substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 24, [ p2( f5( f7( f8( X, Y ) ) ), f5( f8( Y, X ) ) ) ] )
% 0.81/1.27  , clause( 5543, [ p2( f5( f7( f8( X, Y ) ) ), f5( f8( Y, X ) ) ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.27     )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  resolution(
% 0.81/1.27  clause( 5545, [ ~( p2( f5( f7( X ) ), Y ) ), p2( Y, f5( X ) ) ] )
% 0.81/1.27  , clause( 7, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.81/1.27  , 2, clause( 2, [ p2( f5( f7( X ) ), f5( X ) ) ] )
% 0.81/1.27  , 0, substitution( 0, [ :=( X, Y ), :=( Y, f5( X ) ), :=( Z, f5( f7( X ) )
% 0.81/1.27     )] ), substitution( 1, [ :=( X, X )] )).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 32, [ p2( Y, f5( X ) ), ~( p2( f5( f7( X ) ), Y ) ) ] )
% 0.81/1.27  , clause( 5545, [ ~( p2( f5( f7( X ) ), Y ) ), p2( Y, f5( X ) ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.81/1.27     ), ==>( 1, 0 )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  resolution(
% 0.81/1.27  clause( 5547, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.81/1.27  , clause( 7, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.81/1.27  , 2, clause( 0, [ p2( X, X ) ] )
% 0.81/1.27  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ), 
% 0.81/1.27    substitution( 1, [ :=( X, X )] )).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 33, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.81/1.27  , clause( 5547, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.81/1.27     ), ==>( 1, 0 )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  resolution(
% 0.81/1.27  clause( 5548, [ p2( f5( f6( X, f7( Y ) ) ), f5( f8( X, Y ) ) ) ] )
% 0.81/1.27  , clause( 33, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.81/1.27  , 1, clause( 23, [ p2( f5( f8( X, Y ) ), f5( f6( X, f7( Y ) ) ) ) ] )
% 0.81/1.27  , 0, substitution( 0, [ :=( X, f5( f8( X, Y ) ) ), :=( Y, f5( f6( X, f7( Y
% 0.81/1.27     ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 34, [ p2( f5( f6( X, f7( Y ) ) ), f5( f8( X, Y ) ) ) ] )
% 0.81/1.27  , clause( 5548, [ p2( f5( f6( X, f7( Y ) ) ), f5( f8( X, Y ) ) ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.27     )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  resolution(
% 0.81/1.27  clause( 5549, [ p2( f5( X ), f5( f7( X ) ) ) ] )
% 0.81/1.27  , clause( 33, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.81/1.27  , 1, clause( 2, [ p2( f5( f7( X ) ), f5( X ) ) ] )
% 0.81/1.27  , 0, substitution( 0, [ :=( X, f5( f7( X ) ) ), :=( Y, f5( X ) )] ), 
% 0.81/1.27    substitution( 1, [ :=( X, X )] )).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 35, [ p2( f5( X ), f5( f7( X ) ) ) ] )
% 0.81/1.27  , clause( 5549, [ p2( f5( X ), f5( f7( X ) ) ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  resolution(
% 0.81/1.27  clause( 5550, [ p2( f5( f8( X, Y ) ), f5( f8( Y, X ) ) ) ] )
% 0.81/1.27  , clause( 32, [ p2( Y, f5( X ) ), ~( p2( f5( f7( X ) ), Y ) ) ] )
% 0.81/1.27  , 1, clause( 24, [ p2( f5( f7( f8( X, Y ) ) ), f5( f8( Y, X ) ) ) ] )
% 0.81/1.27  , 0, substitution( 0, [ :=( X, f8( Y, X ) ), :=( Y, f5( f8( X, Y ) ) )] ), 
% 0.81/1.27    substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 74, [ p2( f5( f8( X, Y ) ), f5( f8( Y, X ) ) ) ] )
% 0.81/1.27  , clause( 5550, [ p2( f5( f8( X, Y ) ), f5( f8( Y, X ) ) ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.27     )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  resolution(
% 0.81/1.27  clause( 5551, [ p10( f9( f5( X ), f5( Y ) ), f5( f6( X, Y ) ) ) ] )
% 0.81/1.27  , clause( 12, [ p10( f9( X, Y ), Z ), ~( p10( X, f3( Z, Y ) ) ) ] )
% 0.81/1.27  , 1, clause( 9, [ p10( f5( X ), f3( f5( f6( X, Y ) ), f5( Y ) ) ) ] )
% 0.81/1.27  , 0, substitution( 0, [ :=( X, f5( X ) ), :=( Y, f5( Y ) ), :=( Z, f5( f6( 
% 0.81/1.27    X, Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 80, [ p10( f9( f5( X ), f5( Y ) ), f5( f6( X, Y ) ) ) ] )
% 0.81/1.27  , clause( 5551, [ p10( f9( f5( X ), f5( Y ) ), f5( f6( X, Y ) ) ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.27     )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  resolution(
% 0.81/1.27  clause( 5553, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( T, f5( f8( Z, Y ) ) ) )
% 0.81/1.27    , ~( p2( T, X ) ) ] )
% 0.81/1.27  , clause( 13, [ p10( X, Y ), ~( p10( Z, T ) ), ~( p2( Z, X ) ), ~( p2( T, Y
% 0.81/1.27     ) ) ] )
% 0.81/1.27  , 3, clause( 74, [ p2( f5( f8( X, Y ) ), f5( f8( Y, X ) ) ) ] )
% 0.81/1.27  , 0, substitution( 0, [ :=( X, X ), :=( Y, f5( f8( Y, Z ) ) ), :=( Z, T ), 
% 0.81/1.27    :=( T, f5( f8( Z, Y ) ) )] ), substitution( 1, [ :=( X, Z ), :=( Y, Y )] )
% 0.81/1.27    ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 108, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( T, f5( f8( Z, Y ) ) ) )
% 0.81/1.27    , ~( p2( T, X ) ) ] )
% 0.81/1.27  , clause( 5553, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( T, f5( f8( Z, Y ) ) )
% 0.81/1.27     ), ~( p2( T, X ) ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.81/1.27    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  resolution(
% 0.81/1.27  clause( 5555, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( T, f5( f6( Y, f7( Z ) )
% 0.81/1.27     ) ) ), ~( p2( T, X ) ) ] )
% 0.81/1.27  , clause( 13, [ p10( X, Y ), ~( p10( Z, T ) ), ~( p2( Z, X ) ), ~( p2( T, Y
% 0.81/1.27     ) ) ] )
% 0.81/1.27  , 3, clause( 34, [ p2( f5( f6( X, f7( Y ) ) ), f5( f8( X, Y ) ) ) ] )
% 0.81/1.27  , 0, substitution( 0, [ :=( X, X ), :=( Y, f5( f8( Y, Z ) ) ), :=( Z, T ), 
% 0.81/1.27    :=( T, f5( f6( Y, f7( Z ) ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 0.81/1.27    , Z )] )).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 110, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( T, f5( f6( Y, f7( Z ) )
% 0.81/1.27     ) ) ), ~( p2( T, X ) ) ] )
% 0.81/1.27  , clause( 5555, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( T, f5( f6( Y, f7( Z )
% 0.81/1.27     ) ) ) ), ~( p2( T, X ) ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.81/1.27    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  resolution(
% 0.81/1.27  clause( 5557, [ p10( X, Y ), ~( p10( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.81/1.27  , clause( 13, [ p10( X, Y ), ~( p10( Z, T ) ), ~( p2( Z, X ) ), ~( p2( T, Y
% 0.81/1.27     ) ) ] )
% 0.81/1.27  , 3, clause( 0, [ p2( X, X ) ] )
% 0.81/1.27  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y )] ), 
% 0.81/1.27    substitution( 1, [ :=( X, Y )] )).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 121, [ p10( X, Y ), ~( p10( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.81/1.27  , clause( 5557, [ p10( X, Y ), ~( p10( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.81/1.27    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  resolution(
% 0.81/1.27  clause( 5559, [ ~( p2( X, Y ) ), p2( f9( X, f5( Z ) ), f9( Y, f5( f7( Z ) )
% 0.81/1.27     ) ) ] )
% 0.81/1.27  , clause( 16, [ ~( p2( X, Z ) ), p2( f9( X, Y ), f9( Z, T ) ), ~( p2( Y, T
% 0.81/1.27     ) ) ] )
% 0.81/1.27  , 2, clause( 35, [ p2( f5( X ), f5( f7( X ) ) ) ] )
% 0.81/1.27  , 0, substitution( 0, [ :=( X, X ), :=( Y, f5( Z ) ), :=( Z, Y ), :=( T, f5( 
% 0.81/1.27    f7( Z ) ) )] ), substitution( 1, [ :=( X, Z )] )).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 257, [ p2( f9( X, f5( Z ) ), f9( Y, f5( f7( Z ) ) ) ), ~( p2( X, Y
% 0.81/1.27     ) ) ] )
% 0.81/1.27  , clause( 5559, [ ~( p2( X, Y ) ), p2( f9( X, f5( Z ) ), f9( Y, f5( f7( Z )
% 0.81/1.27     ) ) ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.81/1.27    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  resolution(
% 0.81/1.27  clause( 5560, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( X, f5( f8( Z, Y ) ) ) )
% 0.81/1.27     ] )
% 0.81/1.27  , clause( 108, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( T, f5( f8( Z, Y ) ) )
% 0.81/1.27     ), ~( p2( T, X ) ) ] )
% 0.81/1.27  , 2, clause( 0, [ p2( X, X ) ] )
% 0.81/1.27  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] ), 
% 0.81/1.27    substitution( 1, [ :=( X, X )] )).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 2549, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( X, f5( f8( Z, Y ) ) ) )
% 0.81/1.27     ] )
% 0.81/1.27  , clause( 5560, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( X, f5( f8( Z, Y ) ) )
% 0.81/1.27     ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.81/1.27    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  resolution(
% 0.81/1.27  clause( 5561, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( X, f5( f6( Y, f7( Z ) )
% 0.81/1.27     ) ) ) ] )
% 0.81/1.27  , clause( 110, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( T, f5( f6( Y, f7( Z )
% 0.81/1.27     ) ) ) ), ~( p2( T, X ) ) ] )
% 0.81/1.27  , 2, clause( 0, [ p2( X, X ) ] )
% 0.81/1.27  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] ), 
% 0.81/1.27    substitution( 1, [ :=( X, X )] )).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 2815, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( X, f5( f6( Y, f7( Z ) )
% 0.81/1.27     ) ) ) ] )
% 0.81/1.27  , clause( 5561, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( X, f5( f6( Y, f7( Z )
% 0.81/1.27     ) ) ) ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.81/1.27    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  resolution(
% 0.81/1.27  clause( 5562, [ p10( f9( f5( X ), f5( f7( Y ) ) ), f5( f8( X, Y ) ) ) ] )
% 0.81/1.27  , clause( 2815, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( X, f5( f6( Y, f7( Z )
% 0.81/1.27     ) ) ) ) ] )
% 0.81/1.27  , 1, clause( 80, [ p10( f9( f5( X ), f5( Y ) ), f5( f6( X, Y ) ) ) ] )
% 0.81/1.27  , 0, substitution( 0, [ :=( X, f9( f5( X ), f5( f7( Y ) ) ) ), :=( Y, X ), 
% 0.81/1.27    :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, f7( Y ) )] )).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 4067, [ p10( f9( f5( X ), f5( f7( Y ) ) ), f5( f8( X, Y ) ) ) ] )
% 0.81/1.27  , clause( 5562, [ p10( f9( f5( X ), f5( f7( Y ) ) ), f5( f8( X, Y ) ) ) ]
% 0.81/1.27     )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.27     )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  resolution(
% 0.81/1.27  clause( 5563, [ p10( f9( f5( X ), f5( f7( Y ) ) ), f5( f8( Y, X ) ) ) ] )
% 0.81/1.27  , clause( 2549, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( X, f5( f8( Z, Y ) ) )
% 0.81/1.27     ) ] )
% 0.81/1.27  , 1, clause( 4067, [ p10( f9( f5( X ), f5( f7( Y ) ) ), f5( f8( X, Y ) ) )
% 0.81/1.27     ] )
% 0.81/1.27  , 0, substitution( 0, [ :=( X, f9( f5( X ), f5( f7( Y ) ) ) ), :=( Y, Y ), 
% 0.81/1.27    :=( Z, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 4083, [ p10( f9( f5( X ), f5( f7( Y ) ) ), f5( f8( Y, X ) ) ) ] )
% 0.81/1.27  , clause( 5563, [ p10( f9( f5( X ), f5( f7( Y ) ) ), f5( f8( Y, X ) ) ) ]
% 0.81/1.27     )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.27     )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  resolution(
% 0.81/1.27  clause( 5564, [ p2( f9( X, f5( Y ) ), f9( X, f5( f7( Y ) ) ) ) ] )
% 0.81/1.27  , clause( 257, [ p2( f9( X, f5( Z ) ), f9( Y, f5( f7( Z ) ) ) ), ~( p2( X, 
% 0.81/1.27    Y ) ) ] )
% 0.81/1.27  , 1, clause( 0, [ p2( X, X ) ] )
% 0.81/1.27  , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y )] ), 
% 0.81/1.27    substitution( 1, [ :=( X, X )] )).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 5048, [ p2( f9( X, f5( Y ) ), f9( X, f5( f7( Y ) ) ) ) ] )
% 0.81/1.27  , clause( 5564, [ p2( f9( X, f5( Y ) ), f9( X, f5( f7( Y ) ) ) ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.27     )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  resolution(
% 0.81/1.27  clause( 5565, [ p2( f9( X, f5( f7( Y ) ) ), f9( X, f5( Y ) ) ) ] )
% 0.81/1.27  , clause( 33, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.81/1.27  , 1, clause( 5048, [ p2( f9( X, f5( Y ) ), f9( X, f5( f7( Y ) ) ) ) ] )
% 0.81/1.27  , 0, substitution( 0, [ :=( X, f9( X, f5( Y ) ) ), :=( Y, f9( X, f5( f7( Y
% 0.81/1.27     ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 5203, [ p2( f9( X, f5( f7( Y ) ) ), f9( X, f5( Y ) ) ) ] )
% 0.81/1.27  , clause( 5565, [ p2( f9( X, f5( f7( Y ) ) ), f9( X, f5( Y ) ) ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.27     )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  resolution(
% 0.81/1.27  clause( 5566, [ p10( f9( X, f5( Y ) ), Z ), ~( p10( f9( X, f5( f7( Y ) ) )
% 0.81/1.27    , Z ) ) ] )
% 0.81/1.27  , clause( 121, [ p10( X, Y ), ~( p10( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.81/1.27  , 2, clause( 5203, [ p2( f9( X, f5( f7( Y ) ) ), f9( X, f5( Y ) ) ) ] )
% 0.81/1.27  , 0, substitution( 0, [ :=( X, f9( X, f5( Y ) ) ), :=( Y, Z ), :=( Z, f9( X
% 0.81/1.27    , f5( f7( Y ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 5227, [ p10( f9( X, f5( Y ) ), Z ), ~( p10( f9( X, f5( f7( Y ) ) )
% 0.81/1.27    , Z ) ) ] )
% 0.81/1.27  , clause( 5566, [ p10( f9( X, f5( Y ) ), Z ), ~( p10( f9( X, f5( f7( Y ) )
% 0.81/1.27     ), Z ) ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.81/1.27    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  resolution(
% 0.81/1.27  clause( 5567, [ p10( f9( f5( X ), f5( Y ) ), f5( f8( Y, X ) ) ) ] )
% 0.81/1.27  , clause( 5227, [ p10( f9( X, f5( Y ) ), Z ), ~( p10( f9( X, f5( f7( Y ) )
% 0.81/1.27     ), Z ) ) ] )
% 0.81/1.27  , 1, clause( 4083, [ p10( f9( f5( X ), f5( f7( Y ) ) ), f5( f8( Y, X ) ) )
% 0.81/1.27     ] )
% 0.81/1.27  , 0, substitution( 0, [ :=( X, f5( X ) ), :=( Y, Y ), :=( Z, f5( f8( Y, X )
% 0.81/1.27     ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 5484, [ p10( f9( f5( X ), f5( Y ) ), f5( f8( Y, X ) ) ) ] )
% 0.81/1.27  , clause( 5567, [ p10( f9( f5( X ), f5( Y ) ), f5( f8( Y, X ) ) ) ] )
% 0.81/1.27  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.81/1.27     )] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  resolution(
% 0.81/1.27  clause( 5568, [] )
% 0.81/1.27  , clause( 10, [ ~( p10( f9( f5( c11 ), f5( c12 ) ), f5( f8( c12, c11 ) ) )
% 0.81/1.27     ) ] )
% 0.81/1.27  , 0, clause( 5484, [ p10( f9( f5( X ), f5( Y ) ), f5( f8( Y, X ) ) ) ] )
% 0.81/1.27  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, c11 ), :=( Y, c12 )] )
% 0.81/1.27    ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  subsumption(
% 0.81/1.27  clause( 5506, [] )
% 0.81/1.27  , clause( 5568, [] )
% 0.81/1.27  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  end.
% 0.81/1.27  
% 0.81/1.27  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.81/1.27  
% 0.81/1.27  Memory use:
% 0.81/1.27  
% 0.81/1.27  space for terms:        109954
% 0.81/1.27  space for clauses:      442436
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  clauses generated:      7050
% 0.81/1.27  clauses kept:           5507
% 0.81/1.27  clauses selected:       460
% 0.81/1.27  clauses deleted:        19
% 0.81/1.27  clauses inuse deleted:  19
% 0.81/1.27  
% 0.81/1.27  subsentry:          18862
% 0.81/1.27  literals s-matched: 16489
% 0.81/1.27  literals matched:   16230
% 0.81/1.27  full subsumption:   129
% 0.81/1.27  
% 0.81/1.27  checksum:           -1009870573
% 0.81/1.27  
% 0.81/1.27  
% 0.81/1.27  Bliksem ended
%------------------------------------------------------------------------------