TSTP Solution File: SYN564-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN564-1 : 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 02:53:00 EDT 2022

% Result   : Unsatisfiable 0.67s 1.14s
% Output   : Refutation 0.67s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SYN564-1 : TPTP v8.1.0. Released v2.5.0.
% 0.00/0.09  % Command  : bliksem %s
% 0.08/0.29  % Computer : n011.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit : 300
% 0.08/0.29  % DateTime : Mon Jul 11 20:33:42 EDT 2022
% 0.08/0.29  % CPUTime  : 
% 0.67/1.14  *** allocated 10000 integers for termspace/termends
% 0.67/1.14  *** allocated 10000 integers for clauses
% 0.67/1.14  *** allocated 10000 integers for justifications
% 0.67/1.14  Bliksem 1.12
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  Automatic Strategy Selection
% 0.67/1.14  
% 0.67/1.14  Clauses:
% 0.67/1.14  [
% 0.67/1.14     [ p2( X, X ) ],
% 0.67/1.14     [ p4( X, X ) ],
% 0.67/1.14     [ p2( f5( f7( X ) ), f5( X ) ) ],
% 0.67/1.14     [ p4( f8( X, Y ), f6( X, f7( Y ) ) ) ],
% 0.67/1.14     [ p4( f7( f8( X, Y ) ), f8( Y, X ) ) ],
% 0.67/1.14     [ p2( f5( X ), f5( Y ) ), ~( p4( X, Y ) ) ],
% 0.67/1.14     [ p4( f7( X ), f7( Y ) ), ~( p4( X, Y ) ) ],
% 0.67/1.14     [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.67/1.14     [ p4( X, Y ), ~( p4( Z, X ) ), ~( p4( Z, Y ) ) ],
% 0.67/1.14     [ p10( f5( X ), f3( f5( f6( X, Y ) ), f5( Y ) ) ) ],
% 0.67/1.14     [ ~( p10( f9( f5( c11 ), f5( c12 ) ), f5( f8( c11, c12 ) ) ) ) ],
% 0.67/1.14     [ p10( X, f3( Y, Z ) ), ~( p10( f9( X, Z ), Y ) ) ],
% 0.67/1.14     [ p10( f9( X, Y ), Z ), ~( p10( X, f3( Z, Y ) ) ) ],
% 0.67/1.14     [ p10( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p10( Z, T ) ) ],
% 0.67/1.14     [ p4( f8( X, Y ), f8( Z, T ) ), ~( p4( X, Z ) ), ~( p4( Y, T ) ) ],
% 0.67/1.14     [ p2( f3( X, Y ), f3( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ],
% 0.67/1.14     [ p2( f9( X, Y ), f9( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, T ) ) ],
% 0.67/1.14     [ p4( f6( X, Y ), f6( Z, T ) ), ~( p4( X, Z ) ), ~( p4( Y, T ) ) ]
% 0.67/1.14  ] .
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  percentage equality = 0.000000, percentage horn = 1.000000
% 0.67/1.14  This is a near-Horn, non-equality  problem
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  Options Used:
% 0.67/1.14  
% 0.67/1.14  useres =            1
% 0.67/1.14  useparamod =        0
% 0.67/1.14  useeqrefl =         0
% 0.67/1.14  useeqfact =         0
% 0.67/1.14  usefactor =         1
% 0.67/1.14  usesimpsplitting =  0
% 0.67/1.14  usesimpdemod =      0
% 0.67/1.14  usesimpres =        4
% 0.67/1.14  
% 0.67/1.14  resimpinuse      =  1000
% 0.67/1.14  resimpclauses =     20000
% 0.67/1.14  substype =          standard
% 0.67/1.14  backwardsubs =      1
% 0.67/1.14  selectoldest =      5
% 0.67/1.14  
% 0.67/1.14  litorderings [0] =  split
% 0.67/1.14  litorderings [1] =  liftord
% 0.67/1.14  
% 0.67/1.14  termordering =      none
% 0.67/1.14  
% 0.67/1.14  litapriori =        1
% 0.67/1.14  termapriori =       0
% 0.67/1.14  litaposteriori =    0
% 0.67/1.14  termaposteriori =   0
% 0.67/1.14  demodaposteriori =  0
% 0.67/1.14  ordereqreflfact =   0
% 0.67/1.14  
% 0.67/1.14  litselect =         negative
% 0.67/1.14  
% 0.67/1.14  maxweight =         30000
% 0.67/1.14  maxdepth =          30000
% 0.67/1.14  maxlength =         115
% 0.67/1.14  maxnrvars =         195
% 0.67/1.14  excuselevel =       0
% 0.67/1.14  increasemaxweight = 0
% 0.67/1.14  
% 0.67/1.14  maxselected =       10000000
% 0.67/1.14  maxnrclauses =      10000000
% 0.67/1.14  
% 0.67/1.14  showgenerated =    0
% 0.67/1.14  showkept =         0
% 0.67/1.14  showselected =     0
% 0.67/1.14  showdeleted =      0
% 0.67/1.14  showresimp =       1
% 0.67/1.14  showstatus =       2000
% 0.67/1.14  
% 0.67/1.14  prologoutput =     1
% 0.67/1.14  nrgoals =          5000000
% 0.67/1.14  totalproof =       1
% 0.67/1.14  
% 0.67/1.14  Symbols occurring in the translation:
% 0.67/1.14  
% 0.67/1.14  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.67/1.14  .  [1, 2]      (w:1, o:58, a:1, s:1, b:0), 
% 0.67/1.14  !  [4, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 0.67/1.14  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.67/1.14  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.67/1.14  p2  [40, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 0.67/1.14  p4  [42, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 0.67/1.14  f7  [44, 1]      (w:1, o:56, a:1, s:1, b:0), 
% 0.67/1.14  f5  [45, 1]      (w:1, o:57, a:1, s:1, b:0), 
% 0.67/1.14  f8  [48, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 0.67/1.14  f6  [49, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 0.67/1.14  f3  [62, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 0.67/1.14  p10  [63, 2]      (w:1, o:83, a:1, s:1, b:0), 
% 0.67/1.14  c11  [64, 0]      (w:1, o:43, a:1, s:1, b:0), 
% 0.67/1.14  c12  [65, 0]      (w:1, o:44, a:1, s:1, b:0), 
% 0.67/1.14  f9  [66, 2]      (w:1, o:89, a:1, s:1, b:0).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  Starting Search:
% 0.67/1.14  
% 0.67/1.14  Resimplifying inuse:
% 0.67/1.14  Done
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  Intermediate Status:
% 0.67/1.14  Generated:    2755
% 0.67/1.14  Kept:         2008
% 0.67/1.14  Inuse:        270
% 0.67/1.14  Deleted:      0
% 0.67/1.14  Deletedinuse: 0
% 0.67/1.14  
% 0.67/1.14  Resimplifying inuse:
% 0.67/1.14  Done
% 0.67/1.14  
% 0.67/1.14  Resimplifying inuse:
% 0.67/1.14  Done
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  Intermediate Status:
% 0.67/1.14  Generated:    5036
% 0.67/1.14  Kept:         4008
% 0.67/1.14  Inuse:        360
% 0.67/1.14  Deleted:      7
% 0.67/1.14  Deletedinuse: 7
% 0.67/1.14  
% 0.67/1.14  Resimplifying inuse:
% 0.67/1.14  Done
% 0.67/1.14  
% 0.67/1.14  Resimplifying inuse:
% 0.67/1.14  Done
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  Bliksems!, er is een bewijs:
% 0.67/1.14  % SZS status Unsatisfiable
% 0.67/1.14  % SZS output start Refutation
% 0.67/1.14  
% 0.67/1.14  clause( 0, [ p2( X, X ) ] )
% 0.67/1.14  .
% 0.67/1.14  clause( 2, [ p2( f5( f7( X ) ), f5( X ) ) ] )
% 0.67/1.14  .
% 0.67/1.14  clause( 3, [ p4( f8( X, Y ), f6( X, f7( Y ) ) ) ] )
% 0.67/1.14  .
% 0.67/1.14  clause( 5, [ p2( f5( X ), f5( Y ) ), ~( p4( X, Y ) ) ] )
% 0.67/1.14  .
% 0.67/1.14  clause( 7, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.67/1.14  .
% 0.67/1.14  clause( 9, [ p10( f5( X ), f3( f5( f6( X, Y ) ), f5( Y ) ) ) ] )
% 0.67/1.14  .
% 0.67/1.14  clause( 10, [ ~( p10( f9( f5( c11 ), f5( c12 ) ), f5( f8( c11, c12 ) ) ) )
% 0.67/1.14     ] )
% 0.67/1.14  .
% 0.67/1.14  clause( 12, [ p10( f9( X, Y ), Z ), ~( p10( X, f3( Z, Y ) ) ) ] )
% 0.67/1.14  .
% 0.67/1.14  clause( 13, [ p10( X, Y ), ~( p10( Z, T ) ), ~( p2( Z, X ) ), ~( p2( T, Y )
% 0.67/1.14     ) ] )
% 0.67/1.14  .
% 0.67/1.14  clause( 16, [ ~( p2( X, Z ) ), p2( f9( X, Y ), f9( Z, T ) ), ~( p2( Y, T )
% 0.67/1.14     ) ] )
% 0.67/1.14  .
% 0.67/1.14  clause( 23, [ p2( f5( f8( X, Y ) ), f5( f6( X, f7( Y ) ) ) ) ] )
% 0.67/1.14  .
% 0.67/1.14  clause( 33, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.67/1.14  .
% 0.67/1.14  clause( 34, [ p2( f5( f6( X, f7( Y ) ) ), f5( f8( X, Y ) ) ) ] )
% 0.67/1.14  .
% 0.67/1.14  clause( 35, [ p2( f5( X ), f5( f7( X ) ) ) ] )
% 0.67/1.14  .
% 0.67/1.14  clause( 80, [ p10( f9( f5( X ), f5( Y ) ), f5( f6( X, Y ) ) ) ] )
% 0.67/1.14  .
% 0.67/1.14  clause( 110, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( T, f5( f6( Y, f7( Z ) )
% 0.67/1.14     ) ) ), ~( p2( T, X ) ) ] )
% 0.67/1.14  .
% 0.67/1.14  clause( 121, [ p10( X, Y ), ~( p10( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.67/1.14  .
% 0.67/1.14  clause( 257, [ p2( f9( X, f5( Z ) ), f9( Y, f5( f7( Z ) ) ) ), ~( p2( X, Y
% 0.67/1.14     ) ) ] )
% 0.67/1.14  .
% 0.67/1.14  clause( 2815, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( X, f5( f6( Y, f7( Z ) )
% 0.67/1.14     ) ) ) ] )
% 0.67/1.14  .
% 0.67/1.14  clause( 4067, [ p10( f9( f5( X ), f5( f7( Y ) ) ), f5( f8( X, Y ) ) ) ] )
% 0.67/1.14  .
% 0.67/1.14  clause( 5048, [ p2( f9( X, f5( Y ) ), f9( X, f5( f7( Y ) ) ) ) ] )
% 0.67/1.14  .
% 0.67/1.14  clause( 5203, [ p2( f9( X, f5( f7( Y ) ) ), f9( X, f5( Y ) ) ) ] )
% 0.67/1.14  .
% 0.67/1.14  clause( 5227, [ p10( f9( X, f5( Y ) ), Z ), ~( p10( f9( X, f5( f7( Y ) ) )
% 0.67/1.14    , Z ) ) ] )
% 0.67/1.14  .
% 0.67/1.14  clause( 5485, [ p10( f9( f5( X ), f5( Y ) ), f5( f8( X, Y ) ) ) ] )
% 0.67/1.14  .
% 0.67/1.14  clause( 5637, [] )
% 0.67/1.14  .
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  % SZS output end Refutation
% 0.67/1.14  found a proof!
% 0.67/1.14  
% 0.67/1.14  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.67/1.14  
% 0.67/1.14  initialclauses(
% 0.67/1.14  [ clause( 5639, [ p2( X, X ) ] )
% 0.67/1.14  , clause( 5640, [ p4( X, X ) ] )
% 0.67/1.14  , clause( 5641, [ p2( f5( f7( X ) ), f5( X ) ) ] )
% 0.67/1.14  , clause( 5642, [ p4( f8( X, Y ), f6( X, f7( Y ) ) ) ] )
% 0.67/1.14  , clause( 5643, [ p4( f7( f8( X, Y ) ), f8( Y, X ) ) ] )
% 0.67/1.14  , clause( 5644, [ p2( f5( X ), f5( Y ) ), ~( p4( X, Y ) ) ] )
% 0.67/1.14  , clause( 5645, [ p4( f7( X ), f7( Y ) ), ~( p4( X, Y ) ) ] )
% 0.67/1.14  , clause( 5646, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.67/1.14  , clause( 5647, [ p4( X, Y ), ~( p4( Z, X ) ), ~( p4( Z, Y ) ) ] )
% 0.67/1.14  , clause( 5648, [ p10( f5( X ), f3( f5( f6( X, Y ) ), f5( Y ) ) ) ] )
% 0.67/1.14  , clause( 5649, [ ~( p10( f9( f5( c11 ), f5( c12 ) ), f5( f8( c11, c12 ) )
% 0.67/1.14     ) ) ] )
% 0.67/1.14  , clause( 5650, [ p10( X, f3( Y, Z ) ), ~( p10( f9( X, Z ), Y ) ) ] )
% 0.67/1.14  , clause( 5651, [ p10( f9( X, Y ), Z ), ~( p10( X, f3( Z, Y ) ) ) ] )
% 0.67/1.14  , clause( 5652, [ p10( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p10( Z
% 0.67/1.14    , T ) ) ] )
% 0.67/1.14  , clause( 5653, [ p4( f8( X, Y ), f8( Z, T ) ), ~( p4( X, Z ) ), ~( p4( Y, 
% 0.67/1.14    T ) ) ] )
% 0.67/1.14  , clause( 5654, [ p2( f3( X, Y ), f3( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, 
% 0.67/1.14    T ) ) ] )
% 0.67/1.14  , clause( 5655, [ p2( f9( X, Y ), f9( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, 
% 0.67/1.14    T ) ) ] )
% 0.67/1.14  , clause( 5656, [ p4( f6( X, Y ), f6( Z, T ) ), ~( p4( X, Z ) ), ~( p4( Y, 
% 0.67/1.14    T ) ) ] )
% 0.67/1.14  ] ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  subsumption(
% 0.67/1.14  clause( 0, [ p2( X, X ) ] )
% 0.67/1.14  , clause( 5639, [ p2( X, X ) ] )
% 0.67/1.14  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  subsumption(
% 0.67/1.14  clause( 2, [ p2( f5( f7( X ) ), f5( X ) ) ] )
% 0.67/1.14  , clause( 5641, [ p2( f5( f7( X ) ), f5( X ) ) ] )
% 0.67/1.14  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  subsumption(
% 0.67/1.14  clause( 3, [ p4( f8( X, Y ), f6( X, f7( Y ) ) ) ] )
% 0.67/1.14  , clause( 5642, [ p4( f8( X, Y ), f6( X, f7( Y ) ) ) ] )
% 0.67/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.67/1.14     )] ) ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  subsumption(
% 0.67/1.14  clause( 5, [ p2( f5( X ), f5( Y ) ), ~( p4( X, Y ) ) ] )
% 0.67/1.14  , clause( 5644, [ p2( f5( X ), f5( Y ) ), ~( p4( X, Y ) ) ] )
% 0.67/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.67/1.14     ), ==>( 1, 1 )] ) ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  subsumption(
% 0.67/1.14  clause( 7, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.67/1.14  , clause( 5646, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.67/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.67/1.14    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  subsumption(
% 0.67/1.14  clause( 9, [ p10( f5( X ), f3( f5( f6( X, Y ) ), f5( Y ) ) ) ] )
% 0.67/1.14  , clause( 5648, [ p10( f5( X ), f3( f5( f6( X, Y ) ), f5( Y ) ) ) ] )
% 0.67/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.67/1.14     )] ) ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  subsumption(
% 0.67/1.14  clause( 10, [ ~( p10( f9( f5( c11 ), f5( c12 ) ), f5( f8( c11, c12 ) ) ) )
% 0.67/1.14     ] )
% 0.67/1.14  , clause( 5649, [ ~( p10( f9( f5( c11 ), f5( c12 ) ), f5( f8( c11, c12 ) )
% 0.67/1.14     ) ) ] )
% 0.67/1.14  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  subsumption(
% 0.67/1.14  clause( 12, [ p10( f9( X, Y ), Z ), ~( p10( X, f3( Z, Y ) ) ) ] )
% 0.67/1.14  , clause( 5651, [ p10( f9( X, Y ), Z ), ~( p10( X, f3( Z, Y ) ) ) ] )
% 0.67/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.67/1.14    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  subsumption(
% 0.67/1.14  clause( 13, [ p10( X, Y ), ~( p10( Z, T ) ), ~( p2( Z, X ) ), ~( p2( T, Y )
% 0.67/1.14     ) ] )
% 0.67/1.14  , clause( 5652, [ p10( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p10( Z
% 0.67/1.14    , T ) ) ] )
% 0.67/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.67/1.14    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 3 ), ==>( 3, 1 )] )
% 0.67/1.14     ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  subsumption(
% 0.67/1.14  clause( 16, [ ~( p2( X, Z ) ), p2( f9( X, Y ), f9( Z, T ) ), ~( p2( Y, T )
% 0.67/1.14     ) ] )
% 0.67/1.14  , clause( 5655, [ p2( f9( X, Y ), f9( Z, T ) ), ~( p2( X, Z ) ), ~( p2( Y, 
% 0.67/1.14    T ) ) ] )
% 0.67/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.67/1.14    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  resolution(
% 0.67/1.14  clause( 5673, [ p2( f5( f8( X, Y ) ), f5( f6( X, f7( Y ) ) ) ) ] )
% 0.67/1.14  , clause( 5, [ p2( f5( X ), f5( Y ) ), ~( p4( X, Y ) ) ] )
% 0.67/1.14  , 1, clause( 3, [ p4( f8( X, Y ), f6( X, f7( Y ) ) ) ] )
% 0.67/1.14  , 0, substitution( 0, [ :=( X, f8( X, Y ) ), :=( Y, f6( X, f7( Y ) ) )] ), 
% 0.67/1.14    substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  subsumption(
% 0.67/1.14  clause( 23, [ p2( f5( f8( X, Y ) ), f5( f6( X, f7( Y ) ) ) ) ] )
% 0.67/1.14  , clause( 5673, [ p2( f5( f8( X, Y ) ), f5( f6( X, f7( Y ) ) ) ) ] )
% 0.67/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.67/1.14     )] ) ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  resolution(
% 0.67/1.14  clause( 5675, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.67/1.14  , clause( 7, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.67/1.14  , 2, clause( 0, [ p2( X, X ) ] )
% 0.67/1.14  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ), 
% 0.67/1.14    substitution( 1, [ :=( X, X )] )).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  subsumption(
% 0.67/1.14  clause( 33, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.67/1.14  , clause( 5675, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.67/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.67/1.14     ), ==>( 1, 0 )] ) ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  resolution(
% 0.67/1.14  clause( 5676, [ p2( f5( f6( X, f7( Y ) ) ), f5( f8( X, Y ) ) ) ] )
% 0.67/1.14  , clause( 33, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.67/1.14  , 1, clause( 23, [ p2( f5( f8( X, Y ) ), f5( f6( X, f7( Y ) ) ) ) ] )
% 0.67/1.14  , 0, substitution( 0, [ :=( X, f5( f8( X, Y ) ) ), :=( Y, f5( f6( X, f7( Y
% 0.67/1.14     ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  subsumption(
% 0.67/1.14  clause( 34, [ p2( f5( f6( X, f7( Y ) ) ), f5( f8( X, Y ) ) ) ] )
% 0.67/1.14  , clause( 5676, [ p2( f5( f6( X, f7( Y ) ) ), f5( f8( X, Y ) ) ) ] )
% 0.67/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.67/1.14     )] ) ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  resolution(
% 0.67/1.14  clause( 5677, [ p2( f5( X ), f5( f7( X ) ) ) ] )
% 0.67/1.14  , clause( 33, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.67/1.14  , 1, clause( 2, [ p2( f5( f7( X ) ), f5( X ) ) ] )
% 0.67/1.14  , 0, substitution( 0, [ :=( X, f5( f7( X ) ) ), :=( Y, f5( X ) )] ), 
% 0.67/1.14    substitution( 1, [ :=( X, X )] )).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  subsumption(
% 0.67/1.14  clause( 35, [ p2( f5( X ), f5( f7( X ) ) ) ] )
% 0.67/1.14  , clause( 5677, [ p2( f5( X ), f5( f7( X ) ) ) ] )
% 0.67/1.14  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  resolution(
% 0.67/1.14  clause( 5678, [ p10( f9( f5( X ), f5( Y ) ), f5( f6( X, Y ) ) ) ] )
% 0.67/1.14  , clause( 12, [ p10( f9( X, Y ), Z ), ~( p10( X, f3( Z, Y ) ) ) ] )
% 0.67/1.14  , 1, clause( 9, [ p10( f5( X ), f3( f5( f6( X, Y ) ), f5( Y ) ) ) ] )
% 0.67/1.14  , 0, substitution( 0, [ :=( X, f5( X ) ), :=( Y, f5( Y ) ), :=( Z, f5( f6( 
% 0.67/1.14    X, Y ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  subsumption(
% 0.67/1.14  clause( 80, [ p10( f9( f5( X ), f5( Y ) ), f5( f6( X, Y ) ) ) ] )
% 0.67/1.14  , clause( 5678, [ p10( f9( f5( X ), f5( Y ) ), f5( f6( X, Y ) ) ) ] )
% 0.67/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.67/1.14     )] ) ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  resolution(
% 0.67/1.14  clause( 5680, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( T, f5( f6( Y, f7( Z ) )
% 0.67/1.14     ) ) ), ~( p2( T, X ) ) ] )
% 0.67/1.14  , clause( 13, [ p10( X, Y ), ~( p10( Z, T ) ), ~( p2( Z, X ) ), ~( p2( T, Y
% 0.67/1.14     ) ) ] )
% 0.67/1.14  , 3, clause( 34, [ p2( f5( f6( X, f7( Y ) ) ), f5( f8( X, Y ) ) ) ] )
% 0.67/1.14  , 0, substitution( 0, [ :=( X, X ), :=( Y, f5( f8( Y, Z ) ) ), :=( Z, T ), 
% 0.67/1.14    :=( T, f5( f6( Y, f7( Z ) ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 0.67/1.14    , Z )] )).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  subsumption(
% 0.67/1.14  clause( 110, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( T, f5( f6( Y, f7( Z ) )
% 0.67/1.14     ) ) ), ~( p2( T, X ) ) ] )
% 0.67/1.14  , clause( 5680, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( T, f5( f6( Y, f7( Z )
% 0.67/1.14     ) ) ) ), ~( p2( T, X ) ) ] )
% 0.67/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.67/1.14    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  resolution(
% 0.67/1.14  clause( 5682, [ p10( X, Y ), ~( p10( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.67/1.14  , clause( 13, [ p10( X, Y ), ~( p10( Z, T ) ), ~( p2( Z, X ) ), ~( p2( T, Y
% 0.67/1.14     ) ) ] )
% 0.67/1.14  , 3, clause( 0, [ p2( X, X ) ] )
% 0.67/1.14  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y )] ), 
% 0.67/1.14    substitution( 1, [ :=( X, Y )] )).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  subsumption(
% 0.67/1.14  clause( 121, [ p10( X, Y ), ~( p10( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.67/1.14  , clause( 5682, [ p10( X, Y ), ~( p10( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.67/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.67/1.14    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  resolution(
% 0.67/1.14  clause( 5684, [ ~( p2( X, Y ) ), p2( f9( X, f5( Z ) ), f9( Y, f5( f7( Z ) )
% 0.67/1.14     ) ) ] )
% 0.67/1.14  , clause( 16, [ ~( p2( X, Z ) ), p2( f9( X, Y ), f9( Z, T ) ), ~( p2( Y, T
% 0.67/1.14     ) ) ] )
% 0.67/1.14  , 2, clause( 35, [ p2( f5( X ), f5( f7( X ) ) ) ] )
% 0.67/1.14  , 0, substitution( 0, [ :=( X, X ), :=( Y, f5( Z ) ), :=( Z, Y ), :=( T, f5( 
% 0.67/1.14    f7( Z ) ) )] ), substitution( 1, [ :=( X, Z )] )).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  subsumption(
% 0.67/1.14  clause( 257, [ p2( f9( X, f5( Z ) ), f9( Y, f5( f7( Z ) ) ) ), ~( p2( X, Y
% 0.67/1.14     ) ) ] )
% 0.67/1.14  , clause( 5684, [ ~( p2( X, Y ) ), p2( f9( X, f5( Z ) ), f9( Y, f5( f7( Z )
% 0.67/1.14     ) ) ) ] )
% 0.67/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.67/1.14    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  resolution(
% 0.67/1.14  clause( 5685, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( X, f5( f6( Y, f7( Z ) )
% 0.67/1.14     ) ) ) ] )
% 0.67/1.14  , clause( 110, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( T, f5( f6( Y, f7( Z )
% 0.67/1.14     ) ) ) ), ~( p2( T, X ) ) ] )
% 0.67/1.14  , 2, clause( 0, [ p2( X, X ) ] )
% 0.67/1.14  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] ), 
% 0.67/1.14    substitution( 1, [ :=( X, X )] )).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  subsumption(
% 0.67/1.14  clause( 2815, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( X, f5( f6( Y, f7( Z ) )
% 0.67/1.14     ) ) ) ] )
% 0.67/1.14  , clause( 5685, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( X, f5( f6( Y, f7( Z )
% 0.67/1.14     ) ) ) ) ] )
% 0.67/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.67/1.14    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  resolution(
% 0.67/1.14  clause( 5686, [ p10( f9( f5( X ), f5( f7( Y ) ) ), f5( f8( X, Y ) ) ) ] )
% 0.67/1.14  , clause( 2815, [ p10( X, f5( f8( Y, Z ) ) ), ~( p10( X, f5( f6( Y, f7( Z )
% 0.67/1.14     ) ) ) ) ] )
% 0.67/1.14  , 1, clause( 80, [ p10( f9( f5( X ), f5( Y ) ), f5( f6( X, Y ) ) ) ] )
% 0.67/1.14  , 0, substitution( 0, [ :=( X, f9( f5( X ), f5( f7( Y ) ) ) ), :=( Y, X ), 
% 0.67/1.14    :=( Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, f7( Y ) )] )).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  subsumption(
% 0.67/1.14  clause( 4067, [ p10( f9( f5( X ), f5( f7( Y ) ) ), f5( f8( X, Y ) ) ) ] )
% 0.67/1.14  , clause( 5686, [ p10( f9( f5( X ), f5( f7( Y ) ) ), f5( f8( X, Y ) ) ) ]
% 0.67/1.14     )
% 0.67/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.67/1.14     )] ) ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  resolution(
% 0.67/1.14  clause( 5687, [ p2( f9( X, f5( Y ) ), f9( X, f5( f7( Y ) ) ) ) ] )
% 0.67/1.14  , clause( 257, [ p2( f9( X, f5( Z ) ), f9( Y, f5( f7( Z ) ) ) ), ~( p2( X, 
% 0.67/1.14    Y ) ) ] )
% 0.67/1.14  , 1, clause( 0, [ p2( X, X ) ] )
% 0.67/1.14  , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y )] ), 
% 0.67/1.14    substitution( 1, [ :=( X, X )] )).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  subsumption(
% 0.67/1.14  clause( 5048, [ p2( f9( X, f5( Y ) ), f9( X, f5( f7( Y ) ) ) ) ] )
% 0.67/1.14  , clause( 5687, [ p2( f9( X, f5( Y ) ), f9( X, f5( f7( Y ) ) ) ) ] )
% 0.67/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.67/1.14     )] ) ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  resolution(
% 0.67/1.14  clause( 5688, [ p2( f9( X, f5( f7( Y ) ) ), f9( X, f5( Y ) ) ) ] )
% 0.67/1.14  , clause( 33, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.67/1.14  , 1, clause( 5048, [ p2( f9( X, f5( Y ) ), f9( X, f5( f7( Y ) ) ) ) ] )
% 0.67/1.14  , 0, substitution( 0, [ :=( X, f9( X, f5( Y ) ) ), :=( Y, f9( X, f5( f7( Y
% 0.67/1.14     ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  subsumption(
% 0.67/1.14  clause( 5203, [ p2( f9( X, f5( f7( Y ) ) ), f9( X, f5( Y ) ) ) ] )
% 0.67/1.14  , clause( 5688, [ p2( f9( X, f5( f7( Y ) ) ), f9( X, f5( Y ) ) ) ] )
% 0.67/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.67/1.14     )] ) ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  resolution(
% 0.67/1.14  clause( 5689, [ p10( f9( X, f5( Y ) ), Z ), ~( p10( f9( X, f5( f7( Y ) ) )
% 0.67/1.14    , Z ) ) ] )
% 0.67/1.14  , clause( 121, [ p10( X, Y ), ~( p10( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.67/1.14  , 2, clause( 5203, [ p2( f9( X, f5( f7( Y ) ) ), f9( X, f5( Y ) ) ) ] )
% 0.67/1.14  , 0, substitution( 0, [ :=( X, f9( X, f5( Y ) ) ), :=( Y, Z ), :=( Z, f9( X
% 0.67/1.14    , f5( f7( Y ) ) ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  subsumption(
% 0.67/1.14  clause( 5227, [ p10( f9( X, f5( Y ) ), Z ), ~( p10( f9( X, f5( f7( Y ) ) )
% 0.67/1.14    , Z ) ) ] )
% 0.67/1.14  , clause( 5689, [ p10( f9( X, f5( Y ) ), Z ), ~( p10( f9( X, f5( f7( Y ) )
% 0.67/1.14     ), Z ) ) ] )
% 0.67/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.67/1.14    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  resolution(
% 0.67/1.14  clause( 5690, [ p10( f9( f5( X ), f5( Y ) ), f5( f8( X, Y ) ) ) ] )
% 0.67/1.14  , clause( 5227, [ p10( f9( X, f5( Y ) ), Z ), ~( p10( f9( X, f5( f7( Y ) )
% 0.67/1.14     ), Z ) ) ] )
% 0.67/1.14  , 1, clause( 4067, [ p10( f9( f5( X ), f5( f7( Y ) ) ), f5( f8( X, Y ) ) )
% 0.67/1.14     ] )
% 0.67/1.14  , 0, substitution( 0, [ :=( X, f5( X ) ), :=( Y, Y ), :=( Z, f5( f8( X, Y )
% 0.67/1.14     ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  subsumption(
% 0.67/1.14  clause( 5485, [ p10( f9( f5( X ), f5( Y ) ), f5( f8( X, Y ) ) ) ] )
% 0.67/1.14  , clause( 5690, [ p10( f9( f5( X ), f5( Y ) ), f5( f8( X, Y ) ) ) ] )
% 0.67/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.67/1.14     )] ) ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  resolution(
% 0.67/1.14  clause( 5691, [] )
% 0.67/1.14  , clause( 10, [ ~( p10( f9( f5( c11 ), f5( c12 ) ), f5( f8( c11, c12 ) ) )
% 0.67/1.14     ) ] )
% 0.67/1.14  , 0, clause( 5485, [ p10( f9( f5( X ), f5( Y ) ), f5( f8( X, Y ) ) ) ] )
% 0.67/1.14  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, c11 ), :=( Y, c12 )] )
% 0.67/1.14    ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  subsumption(
% 0.67/1.14  clause( 5637, [] )
% 0.67/1.14  , clause( 5691, [] )
% 0.67/1.14  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  end.
% 0.67/1.14  
% 0.67/1.14  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.67/1.14  
% 0.67/1.14  Memory use:
% 0.67/1.14  
% 0.67/1.14  space for terms:        112706
% 0.67/1.14  space for clauses:      457741
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  clauses generated:      7188
% 0.67/1.14  clauses kept:           5638
% 0.67/1.14  clauses selected:       462
% 0.67/1.14  clauses deleted:        19
% 0.67/1.14  clauses inuse deleted:  19
% 0.67/1.14  
% 0.67/1.14  subsentry:          18870
% 0.67/1.14  literals s-matched: 16497
% 0.67/1.14  literals matched:   16238
% 0.67/1.14  full subsumption:   129
% 0.67/1.14  
% 0.67/1.14  checksum:           -743386355
% 0.67/1.14  
% 0.67/1.14  
% 0.67/1.14  Bliksem ended
%------------------------------------------------------------------------------