TSTP Solution File: SYN579-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN579-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n009.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 02:53:06 EDT 2022

% Result   : Unsatisfiable 0.73s 1.08s
% Output   : Refutation 0.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN579-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n009.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 : Tue Jul 12 05:32:07 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.73/1.08  *** allocated 10000 integers for termspace/termends
% 0.73/1.08  *** allocated 10000 integers for clauses
% 0.73/1.08  *** allocated 10000 integers for justifications
% 0.73/1.08  Bliksem 1.12
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  Automatic Strategy Selection
% 0.73/1.08  
% 0.73/1.08  Clauses:
% 0.73/1.08  [
% 0.73/1.08     [ p10( X, X ) ],
% 0.73/1.08     [ p7( X, X ) ],
% 0.73/1.08     [ p3( X, X ) ],
% 0.73/1.08     [ p2( X, X ) ],
% 0.73/1.08     [ p9( c12, c13 ) ],
% 0.73/1.08     [ p11( c14, c15 ) ],
% 0.73/1.08     [ p2( c16, f5( c14 ) ) ],
% 0.73/1.08     [ p3( f4( f5( X ) ), f4( X ) ) ],
% 0.73/1.08     [ p3( f6( f5( X ) ), f6( X ) ) ],
% 0.73/1.08     [ p9( X, c13 ), ~( p9( X, f6( c16 ) ) ) ],
% 0.73/1.08     [ p9( X, f6( c16 ) ), ~( p9( X, c13 ) ) ],
% 0.73/1.08     [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ],
% 0.73/1.08     [ p3( f6( X ), f6( Y ) ), ~( p2( X, Y ) ) ],
% 0.73/1.08     [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ],
% 0.73/1.08     [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ],
% 0.73/1.08     [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ],
% 0.73/1.08     [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ],
% 0.73/1.08     [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.73/1.08     [ p11( X, Y ), ~( p11( Z, T ) ), ~( p2( Z, X ) ), ~( p10( T, Y ) ) ]
% 0.73/1.08    ,
% 0.73/1.08     [ p9( X, Y ), ~( p7( Z, X ) ), ~( p9( Z, T ) ), ~( p3( T, Y ) ) ],
% 0.73/1.08     [ p7( f8( X, Y ), f8( Z, T ) ), ~( p2( Y, T ) ), ~( p3( X, Z ) ) ],
% 0.73/1.08     [ p9( f8( X, Y ), X ), p9( f8( X, Y ), f6( Y ) ), ~( p11( Y, c15 ) ), 
% 0.73/1.08    ~( p9( c12, X ) ) ],
% 0.73/1.08     [ ~( p11( X, c15 ) ), ~( p9( c12, Y ) ), ~( p9( f8( Y, X ), Y ) ), ~( p9( 
% 0.73/1.08    f8( Y, X ), f6( X ) ) ) ]
% 0.73/1.08  ] .
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  percentage equality = 0.000000, percentage horn = 0.956522
% 0.73/1.08  This is a near-Horn, non-equality  problem
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  Options Used:
% 0.73/1.08  
% 0.73/1.08  useres =            1
% 0.73/1.08  useparamod =        0
% 0.73/1.08  useeqrefl =         0
% 0.73/1.08  useeqfact =         0
% 0.73/1.08  usefactor =         1
% 0.73/1.08  usesimpsplitting =  0
% 0.73/1.08  usesimpdemod =      0
% 0.73/1.08  usesimpres =        4
% 0.73/1.08  
% 0.73/1.08  resimpinuse      =  1000
% 0.73/1.08  resimpclauses =     20000
% 0.73/1.08  substype =          standard
% 0.73/1.08  backwardsubs =      1
% 0.73/1.08  selectoldest =      5
% 0.73/1.08  
% 0.73/1.08  litorderings [0] =  split
% 0.73/1.08  litorderings [1] =  liftord
% 0.73/1.08  
% 0.73/1.08  termordering =      none
% 0.73/1.08  
% 0.73/1.08  litapriori =        1
% 0.73/1.08  termapriori =       0
% 0.73/1.08  litaposteriori =    0
% 0.73/1.08  termaposteriori =   0
% 0.73/1.08  demodaposteriori =  0
% 0.73/1.08  ordereqreflfact =   0
% 0.73/1.08  
% 0.73/1.08  litselect =         negative
% 0.73/1.08  
% 0.73/1.08  maxweight =         30000
% 0.73/1.08  maxdepth =          30000
% 0.73/1.08  maxlength =         115
% 0.73/1.08  maxnrvars =         195
% 0.73/1.08  excuselevel =       0
% 0.73/1.08  increasemaxweight = 0
% 0.73/1.08  
% 0.73/1.08  maxselected =       10000000
% 0.73/1.08  maxnrclauses =      10000000
% 0.73/1.08  
% 0.73/1.08  showgenerated =    0
% 0.73/1.08  showkept =         0
% 0.73/1.08  showselected =     0
% 0.73/1.08  showdeleted =      0
% 0.73/1.08  showresimp =       1
% 0.73/1.08  showstatus =       2000
% 0.73/1.08  
% 0.73/1.08  prologoutput =     1
% 0.73/1.08  nrgoals =          5000000
% 0.73/1.08  totalproof =       1
% 0.73/1.08  
% 0.73/1.08  Symbols occurring in the translation:
% 0.73/1.08  
% 0.73/1.08  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.73/1.08  .  [1, 2]      (w:1, o:57, a:1, s:1, b:0), 
% 0.73/1.08  !  [4, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 0.73/1.08  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.73/1.08  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.73/1.08  p10  [40, 2]      (w:1, o:82, a:1, s:1, b:0), 
% 0.73/1.08  p7  [42, 2]      (w:1, o:83, a:1, s:1, b:0), 
% 0.73/1.08  p3  [44, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 0.73/1.08  p2  [46, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 0.73/1.08  c12  [47, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 0.73/1.08  c13  [48, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 0.73/1.08  p9  [49, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 0.73/1.08  c14  [50, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 0.73/1.08  c15  [51, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 0.73/1.08  p11  [52, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 0.73/1.08  c16  [53, 0]      (w:1, o:30, a:1, s:1, b:0), 
% 0.73/1.08  f5  [54, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 0.73/1.08  f4  [56, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 0.73/1.08  f6  [58, 1]      (w:1, o:56, a:1, s:1, b:0), 
% 0.73/1.08  f8  [84, 2]      (w:1, o:88, a:1, s:1, b:0).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  Starting Search:
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  Bliksems!, er is een bewijs:
% 0.73/1.08  % SZS status Unsatisfiable
% 0.73/1.08  % SZS output start Refutation
% 0.73/1.08  
% 0.73/1.08  clause( 1, [ p7( X, X ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 2, [ p3( X, X ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 4, [ p9( c12, c13 ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 5, [ p11( c14, c15 ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 6, [ p2( c16, f5( c14 ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 8, [ p3( f6( f5( X ) ), f6( X ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 10, [ p9( X, f6( c16 ) ), ~( p9( X, c13 ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 12, [ p3( f6( X ), f6( Y ) ), ~( p2( X, Y ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 16, [ ~( p3( Z, X ) ), p3( X, Y ), ~( p3( Z, Y ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 19, [ ~( p9( Z, T ) ), ~( p3( T, Y ) ), p9( X, Y ), ~( p7( Z, X ) )
% 0.73/1.08     ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 21, [ ~( p11( Y, c15 ) ), p9( f8( X, Y ), f6( Y ) ), p9( f8( X, Y )
% 0.73/1.08    , X ), ~( p9( c12, X ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 22, [ ~( p11( X, c15 ) ), ~( p9( f8( Y, X ), Y ) ), ~( p9( f8( Y, X
% 0.73/1.08     ), f6( X ) ) ), ~( p9( c12, Y ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 23, [ ~( p11( X, c15 ) ), p9( f8( f6( X ), X ), f6( X ) ), ~( p9( 
% 0.73/1.08    c12, f6( X ) ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 24, [ ~( p11( X, c15 ) ), ~( p9( c12, f6( X ) ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 25, [ p9( c12, f6( c16 ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 27, [ p3( f6( c16 ), f6( f5( c14 ) ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 48, [ p3( Y, f6( X ) ), ~( p3( f6( f5( X ) ), Y ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 49, [ p3( Y, X ), ~( p3( X, Y ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 54, [ p3( f6( f5( c14 ) ), f6( c16 ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 76, [ ~( p9( X, Y ) ), p9( X, Z ), ~( p3( Y, Z ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 304, [ p3( f6( c16 ), f6( c14 ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 419, [ p9( X, f6( c14 ) ), ~( p9( X, f6( c16 ) ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 488, [ p9( c12, f6( c14 ) ) ] )
% 0.73/1.08  .
% 0.73/1.08  clause( 491, [] )
% 0.73/1.08  .
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  % SZS output end Refutation
% 0.73/1.08  found a proof!
% 0.73/1.08  
% 0.73/1.08  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.08  
% 0.73/1.08  initialclauses(
% 0.73/1.08  [ clause( 493, [ p10( X, X ) ] )
% 0.73/1.08  , clause( 494, [ p7( X, X ) ] )
% 0.73/1.08  , clause( 495, [ p3( X, X ) ] )
% 0.73/1.08  , clause( 496, [ p2( X, X ) ] )
% 0.73/1.08  , clause( 497, [ p9( c12, c13 ) ] )
% 0.73/1.08  , clause( 498, [ p11( c14, c15 ) ] )
% 0.73/1.08  , clause( 499, [ p2( c16, f5( c14 ) ) ] )
% 0.73/1.08  , clause( 500, [ p3( f4( f5( X ) ), f4( X ) ) ] )
% 0.73/1.08  , clause( 501, [ p3( f6( f5( X ) ), f6( X ) ) ] )
% 0.73/1.08  , clause( 502, [ p9( X, c13 ), ~( p9( X, f6( c16 ) ) ) ] )
% 0.73/1.08  , clause( 503, [ p9( X, f6( c16 ) ), ~( p9( X, c13 ) ) ] )
% 0.73/1.08  , clause( 504, [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ] )
% 0.73/1.08  , clause( 505, [ p3( f6( X ), f6( Y ) ), ~( p2( X, Y ) ) ] )
% 0.73/1.08  , clause( 506, [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.73/1.08  , clause( 507, [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ] )
% 0.73/1.08  , clause( 508, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 0.73/1.08  , clause( 509, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 0.73/1.08  , clause( 510, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.73/1.08  , clause( 511, [ p11( X, Y ), ~( p11( Z, T ) ), ~( p2( Z, X ) ), ~( p10( T
% 0.73/1.08    , Y ) ) ] )
% 0.73/1.08  , clause( 512, [ p9( X, Y ), ~( p7( Z, X ) ), ~( p9( Z, T ) ), ~( p3( T, Y
% 0.73/1.08     ) ) ] )
% 0.73/1.08  , clause( 513, [ p7( f8( X, Y ), f8( Z, T ) ), ~( p2( Y, T ) ), ~( p3( X, Z
% 0.73/1.08     ) ) ] )
% 0.73/1.08  , clause( 514, [ p9( f8( X, Y ), X ), p9( f8( X, Y ), f6( Y ) ), ~( p11( Y
% 0.73/1.08    , c15 ) ), ~( p9( c12, X ) ) ] )
% 0.73/1.08  , clause( 515, [ ~( p11( X, c15 ) ), ~( p9( c12, Y ) ), ~( p9( f8( Y, X ), 
% 0.73/1.08    Y ) ), ~( p9( f8( Y, X ), f6( X ) ) ) ] )
% 0.73/1.08  ] ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 1, [ p7( X, X ) ] )
% 0.73/1.08  , clause( 494, [ p7( X, X ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 2, [ p3( X, X ) ] )
% 0.73/1.08  , clause( 495, [ p3( X, X ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 4, [ p9( c12, c13 ) ] )
% 0.73/1.08  , clause( 497, [ p9( c12, c13 ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 5, [ p11( c14, c15 ) ] )
% 0.73/1.08  , clause( 498, [ p11( c14, c15 ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 6, [ p2( c16, f5( c14 ) ) ] )
% 0.73/1.08  , clause( 499, [ p2( c16, f5( c14 ) ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 8, [ p3( f6( f5( X ) ), f6( X ) ) ] )
% 0.73/1.08  , clause( 501, [ p3( f6( f5( X ) ), f6( X ) ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 10, [ p9( X, f6( c16 ) ), ~( p9( X, c13 ) ) ] )
% 0.73/1.08  , clause( 503, [ p9( X, f6( c16 ) ), ~( p9( X, c13 ) ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.73/1.08    1 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 12, [ p3( f6( X ), f6( Y ) ), ~( p2( X, Y ) ) ] )
% 0.73/1.08  , clause( 505, [ p3( f6( X ), f6( Y ) ), ~( p2( X, Y ) ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.08     ), ==>( 1, 1 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 16, [ ~( p3( Z, X ) ), p3( X, Y ), ~( p3( Z, Y ) ) ] )
% 0.73/1.08  , clause( 509, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.73/1.08    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 19, [ ~( p9( Z, T ) ), ~( p3( T, Y ) ), p9( X, Y ), ~( p7( Z, X ) )
% 0.73/1.08     ] )
% 0.73/1.08  , clause( 512, [ p9( X, Y ), ~( p7( Z, X ) ), ~( p9( Z, T ) ), ~( p3( T, Y
% 0.73/1.08     ) ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.73/1.08    permutation( 0, [ ==>( 0, 2 ), ==>( 1, 3 ), ==>( 2, 0 ), ==>( 3, 1 )] )
% 0.73/1.08     ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 21, [ ~( p11( Y, c15 ) ), p9( f8( X, Y ), f6( Y ) ), p9( f8( X, Y )
% 0.73/1.08    , X ), ~( p9( c12, X ) ) ] )
% 0.73/1.08  , clause( 514, [ p9( f8( X, Y ), X ), p9( f8( X, Y ), f6( Y ) ), ~( p11( Y
% 0.73/1.08    , c15 ) ), ~( p9( c12, X ) ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.73/1.08     ), ==>( 1, 1 ), ==>( 2, 0 ), ==>( 3, 3 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 22, [ ~( p11( X, c15 ) ), ~( p9( f8( Y, X ), Y ) ), ~( p9( f8( Y, X
% 0.73/1.08     ), f6( X ) ) ), ~( p9( c12, Y ) ) ] )
% 0.73/1.08  , clause( 515, [ ~( p11( X, c15 ) ), ~( p9( c12, Y ) ), ~( p9( f8( Y, X ), 
% 0.73/1.08    Y ) ), ~( p9( f8( Y, X ), f6( X ) ) ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.08     ), ==>( 1, 3 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  factor(
% 0.73/1.08  clause( 534, [ ~( p11( X, c15 ) ), p9( f8( f6( X ), X ), f6( X ) ), ~( p9( 
% 0.73/1.08    c12, f6( X ) ) ) ] )
% 0.73/1.08  , clause( 21, [ ~( p11( Y, c15 ) ), p9( f8( X, Y ), f6( Y ) ), p9( f8( X, Y
% 0.73/1.08     ), X ), ~( p9( c12, X ) ) ] )
% 0.73/1.08  , 1, 2, substitution( 0, [ :=( X, f6( X ) ), :=( Y, X )] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 23, [ ~( p11( X, c15 ) ), p9( f8( f6( X ), X ), f6( X ) ), ~( p9( 
% 0.73/1.08    c12, f6( X ) ) ) ] )
% 0.73/1.08  , clause( 534, [ ~( p11( X, c15 ) ), p9( f8( f6( X ), X ), f6( X ) ), ~( p9( 
% 0.73/1.08    c12, f6( X ) ) ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.73/1.08    1 ), ==>( 2, 2 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  factor(
% 0.73/1.08  clause( 535, [ ~( p11( X, c15 ) ), ~( p9( f8( f6( X ), X ), f6( X ) ) ), 
% 0.73/1.08    ~( p9( c12, f6( X ) ) ) ] )
% 0.73/1.08  , clause( 22, [ ~( p11( X, c15 ) ), ~( p9( f8( Y, X ), Y ) ), ~( p9( f8( Y
% 0.73/1.08    , X ), f6( X ) ) ), ~( p9( c12, Y ) ) ] )
% 0.73/1.08  , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, f6( X ) )] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 536, [ ~( p11( X, c15 ) ), ~( p9( c12, f6( X ) ) ), ~( p11( X, c15
% 0.73/1.08     ) ), ~( p9( c12, f6( X ) ) ) ] )
% 0.73/1.08  , clause( 535, [ ~( p11( X, c15 ) ), ~( p9( f8( f6( X ), X ), f6( X ) ) ), 
% 0.73/1.08    ~( p9( c12, f6( X ) ) ) ] )
% 0.73/1.08  , 1, clause( 23, [ ~( p11( X, c15 ) ), p9( f8( f6( X ), X ), f6( X ) ), ~( 
% 0.73/1.08    p9( c12, f6( X ) ) ) ] )
% 0.73/1.08  , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.73/1.08    ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  factor(
% 0.73/1.08  clause( 538, [ ~( p11( X, c15 ) ), ~( p9( c12, f6( X ) ) ), ~( p11( X, c15
% 0.73/1.08     ) ) ] )
% 0.73/1.08  , clause( 536, [ ~( p11( X, c15 ) ), ~( p9( c12, f6( X ) ) ), ~( p11( X, 
% 0.73/1.08    c15 ) ), ~( p9( c12, f6( X ) ) ) ] )
% 0.73/1.08  , 1, 3, substitution( 0, [ :=( X, X )] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  factor(
% 0.73/1.08  clause( 539, [ ~( p11( X, c15 ) ), ~( p9( c12, f6( X ) ) ) ] )
% 0.73/1.08  , clause( 538, [ ~( p11( X, c15 ) ), ~( p9( c12, f6( X ) ) ), ~( p11( X, 
% 0.73/1.08    c15 ) ) ] )
% 0.73/1.08  , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 24, [ ~( p11( X, c15 ) ), ~( p9( c12, f6( X ) ) ) ] )
% 0.73/1.08  , clause( 539, [ ~( p11( X, c15 ) ), ~( p9( c12, f6( X ) ) ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.73/1.08    1 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 540, [ p9( c12, f6( c16 ) ) ] )
% 0.73/1.08  , clause( 10, [ p9( X, f6( c16 ) ), ~( p9( X, c13 ) ) ] )
% 0.73/1.08  , 1, clause( 4, [ p9( c12, c13 ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, c12 )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 25, [ p9( c12, f6( c16 ) ) ] )
% 0.73/1.08  , clause( 540, [ p9( c12, f6( c16 ) ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 541, [ p3( f6( c16 ), f6( f5( c14 ) ) ) ] )
% 0.73/1.08  , clause( 12, [ p3( f6( X ), f6( Y ) ), ~( p2( X, Y ) ) ] )
% 0.73/1.08  , 1, clause( 6, [ p2( c16, f5( c14 ) ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, c16 ), :=( Y, f5( c14 ) )] ), substitution( 
% 0.73/1.08    1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 27, [ p3( f6( c16 ), f6( f5( c14 ) ) ) ] )
% 0.73/1.08  , clause( 541, [ p3( f6( c16 ), f6( f5( c14 ) ) ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 543, [ ~( p3( f6( f5( X ) ), Y ) ), p3( Y, f6( X ) ) ] )
% 0.73/1.08  , clause( 16, [ ~( p3( Z, X ) ), p3( X, Y ), ~( p3( Z, Y ) ) ] )
% 0.73/1.08  , 2, clause( 8, [ p3( f6( f5( X ) ), f6( X ) ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, Y ), :=( Y, f6( X ) ), :=( Z, f6( f5( X ) )
% 0.73/1.08     )] ), substitution( 1, [ :=( X, X )] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 48, [ p3( Y, f6( X ) ), ~( p3( f6( f5( X ) ), Y ) ) ] )
% 0.73/1.08  , clause( 543, [ ~( p3( f6( f5( X ) ), Y ) ), p3( Y, f6( X ) ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.73/1.08     ), ==>( 1, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 545, [ ~( p3( X, Y ) ), p3( Y, X ) ] )
% 0.73/1.08  , clause( 16, [ ~( p3( Z, X ) ), p3( X, Y ), ~( p3( Z, Y ) ) ] )
% 0.73/1.08  , 2, clause( 2, [ p3( X, X ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ), 
% 0.73/1.08    substitution( 1, [ :=( X, X )] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 49, [ p3( Y, X ), ~( p3( X, Y ) ) ] )
% 0.73/1.08  , clause( 545, [ ~( p3( X, Y ) ), p3( Y, X ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.73/1.08     ), ==>( 1, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 546, [ p3( f6( f5( c14 ) ), f6( c16 ) ) ] )
% 0.73/1.08  , clause( 49, [ p3( Y, X ), ~( p3( X, Y ) ) ] )
% 0.73/1.08  , 1, clause( 27, [ p3( f6( c16 ), f6( f5( c14 ) ) ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, f6( c16 ) ), :=( Y, f6( f5( c14 ) ) )] ), 
% 0.73/1.08    substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 54, [ p3( f6( f5( c14 ) ), f6( c16 ) ) ] )
% 0.73/1.08  , clause( 546, [ p3( f6( f5( c14 ) ), f6( c16 ) ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 547, [ ~( p9( X, Y ) ), ~( p3( Y, Z ) ), p9( X, Z ) ] )
% 0.73/1.08  , clause( 19, [ ~( p9( Z, T ) ), ~( p3( T, Y ) ), p9( X, Y ), ~( p7( Z, X )
% 0.73/1.08     ) ] )
% 0.73/1.08  , 3, clause( 1, [ p7( X, X ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] ), 
% 0.73/1.08    substitution( 1, [ :=( X, X )] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 76, [ ~( p9( X, Y ) ), p9( X, Z ), ~( p3( Y, Z ) ) ] )
% 0.73/1.08  , clause( 547, [ ~( p9( X, Y ) ), ~( p3( Y, Z ) ), p9( X, Z ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.73/1.08    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 548, [ p3( f6( c16 ), f6( c14 ) ) ] )
% 0.73/1.08  , clause( 48, [ p3( Y, f6( X ) ), ~( p3( f6( f5( X ) ), Y ) ) ] )
% 0.73/1.08  , 1, clause( 54, [ p3( f6( f5( c14 ) ), f6( c16 ) ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, c14 ), :=( Y, f6( c16 ) )] ), substitution( 
% 0.73/1.08    1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 304, [ p3( f6( c16 ), f6( c14 ) ) ] )
% 0.73/1.08  , clause( 548, [ p3( f6( c16 ), f6( c14 ) ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 549, [ ~( p9( X, f6( c16 ) ) ), p9( X, f6( c14 ) ) ] )
% 0.73/1.08  , clause( 76, [ ~( p9( X, Y ) ), p9( X, Z ), ~( p3( Y, Z ) ) ] )
% 0.73/1.08  , 2, clause( 304, [ p3( f6( c16 ), f6( c14 ) ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, X ), :=( Y, f6( c16 ) ), :=( Z, f6( c14 ) )] )
% 0.73/1.08    , substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 419, [ p9( X, f6( c14 ) ), ~( p9( X, f6( c16 ) ) ) ] )
% 0.73/1.08  , clause( 549, [ ~( p9( X, f6( c16 ) ) ), p9( X, f6( c14 ) ) ] )
% 0.73/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.73/1.08    0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 550, [ p9( c12, f6( c14 ) ) ] )
% 0.73/1.08  , clause( 419, [ p9( X, f6( c14 ) ), ~( p9( X, f6( c16 ) ) ) ] )
% 0.73/1.08  , 1, clause( 25, [ p9( c12, f6( c16 ) ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, c12 )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 488, [ p9( c12, f6( c14 ) ) ] )
% 0.73/1.08  , clause( 550, [ p9( c12, f6( c14 ) ) ] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 551, [ ~( p11( c14, c15 ) ) ] )
% 0.73/1.08  , clause( 24, [ ~( p11( X, c15 ) ), ~( p9( c12, f6( X ) ) ) ] )
% 0.73/1.08  , 1, clause( 488, [ p9( c12, f6( c14 ) ) ] )
% 0.73/1.08  , 0, substitution( 0, [ :=( X, c14 )] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  resolution(
% 0.73/1.08  clause( 552, [] )
% 0.73/1.08  , clause( 551, [ ~( p11( c14, c15 ) ) ] )
% 0.73/1.08  , 0, clause( 5, [ p11( c14, c15 ) ] )
% 0.73/1.08  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  subsumption(
% 0.73/1.08  clause( 491, [] )
% 0.73/1.08  , clause( 552, [] )
% 0.73/1.08  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  end.
% 0.73/1.08  
% 0.73/1.08  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.08  
% 0.73/1.08  Memory use:
% 0.73/1.08  
% 0.73/1.08  space for terms:        6379
% 0.73/1.08  space for clauses:      28730
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  clauses generated:      860
% 0.73/1.08  clauses kept:           492
% 0.73/1.08  clauses selected:       168
% 0.73/1.08  clauses deleted:        1
% 0.73/1.08  clauses inuse deleted:  0
% 0.73/1.08  
% 0.73/1.08  subsentry:          948
% 0.73/1.08  literals s-matched: 793
% 0.73/1.08  literals matched:   793
% 0.73/1.08  full subsumption:   0
% 0.73/1.08  
% 0.73/1.08  checksum:           -192612295
% 0.73/1.08  
% 0.73/1.08  
% 0.73/1.08  Bliksem ended
%------------------------------------------------------------------------------