TSTP Solution File: SYN568-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN568-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n026.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 02:53:02 EDT 2022

% Result   : Unsatisfiable 0.72s 1.11s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN568-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Tue Jul 12 03:52:12 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.72/1.11  *** allocated 10000 integers for termspace/termends
% 0.72/1.11  *** allocated 10000 integers for clauses
% 0.72/1.11  *** allocated 10000 integers for justifications
% 0.72/1.11  Bliksem 1.12
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  Automatic Strategy Selection
% 0.72/1.11  
% 0.72/1.11  Clauses:
% 0.72/1.11  [
% 0.72/1.11     [ p2( X, X ) ],
% 0.72/1.11     [ p3( X, X ) ],
% 0.72/1.11     [ ~( p11( f9( c13 ), f9( c14 ) ) ) ],
% 0.72/1.11     [ p11( f5( f6( c12 ) ), f9( X ) ) ],
% 0.72/1.11     [ p10( X, Y ), p11( Y, X ) ],
% 0.72/1.11     [ ~( p10( X, Y ) ), ~( p11( Y, X ) ) ],
% 0.72/1.11     [ ~( p3( f6( f7( f8( c12 ) ) ), f6( c12 ) ) ) ],
% 0.72/1.11     [ p3( f8( X ), f8( Y ) ), ~( p3( X, Y ) ) ],
% 0.72/1.11     [ p2( f5( X ), f5( Y ) ), ~( p3( X, Y ) ) ],
% 0.72/1.11     [ p2( f9( X ), f9( Y ) ), ~( p2( X, Y ) ) ],
% 0.72/1.11     [ p3( f6( X ), f6( Y ) ), ~( p3( X, Y ) ) ],
% 0.72/1.11     [ p3( f7( X ), f7( Y ) ), ~( p3( X, Y ) ) ],
% 0.72/1.11     [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.72/1.11     [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ],
% 0.72/1.11     [ p10( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p10( Z, T ) ) ],
% 0.72/1.11     [ p11( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p11( Z, T ) ) ],
% 0.72/1.11     [ p2( f4( X, Y ), f4( Z, T ) ), ~( p2( X, Z ) ), ~( p3( Y, T ) ) ],
% 0.72/1.11     [ p11( f4( f9( c13 ), f6( f7( f8( c12 ) ) ) ), f4( f9( c14 ), f6( f7( f8( 
% 0.72/1.11    c12 ) ) ) ) ) ],
% 0.72/1.11     [ p11( f4( X, Y ), f4( Z, Y ) ), ~( p11( X, Z ) ), ~( p11( f5( f6( c12 )
% 0.72/1.11     ), X ) ) ],
% 0.72/1.11     [ p3( X, f6( c12 ) ), p10( f4( Y, X ), f4( Z, X ) ), ~( p10( Y, Z ) ), 
% 0.72/1.11    ~( p11( f5( f6( c12 ) ), Y ) ) ]
% 0.72/1.11  ] .
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  percentage equality = 0.000000, percentage horn = 0.900000
% 0.72/1.11  This is a near-Horn, non-equality  problem
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  Options Used:
% 0.72/1.11  
% 0.72/1.11  useres =            1
% 0.72/1.11  useparamod =        0
% 0.72/1.11  useeqrefl =         0
% 0.72/1.11  useeqfact =         0
% 0.72/1.11  usefactor =         1
% 0.72/1.11  usesimpsplitting =  0
% 0.72/1.11  usesimpdemod =      0
% 0.72/1.11  usesimpres =        4
% 0.72/1.11  
% 0.72/1.11  resimpinuse      =  1000
% 0.72/1.11  resimpclauses =     20000
% 0.72/1.11  substype =          standard
% 0.72/1.11  backwardsubs =      1
% 0.72/1.11  selectoldest =      5
% 0.72/1.11  
% 0.72/1.11  litorderings [0] =  split
% 0.72/1.11  litorderings [1] =  liftord
% 0.72/1.11  
% 0.72/1.11  termordering =      none
% 0.72/1.11  
% 0.72/1.11  litapriori =        1
% 0.72/1.11  termapriori =       0
% 0.72/1.11  litaposteriori =    0
% 0.72/1.11  termaposteriori =   0
% 0.72/1.11  demodaposteriori =  0
% 0.72/1.11  ordereqreflfact =   0
% 0.72/1.11  
% 0.72/1.11  litselect =         negative
% 0.72/1.11  
% 0.72/1.11  maxweight =         30000
% 0.72/1.11  maxdepth =          30000
% 0.72/1.11  maxlength =         115
% 0.72/1.11  maxnrvars =         195
% 0.72/1.11  excuselevel =       0
% 0.72/1.11  increasemaxweight = 0
% 0.72/1.11  
% 0.72/1.11  maxselected =       10000000
% 0.72/1.11  maxnrclauses =      10000000
% 0.72/1.11  
% 0.72/1.11  showgenerated =    0
% 0.72/1.11  showkept =         0
% 0.72/1.11  showselected =     0
% 0.72/1.11  showdeleted =      0
% 0.72/1.11  showresimp =       1
% 0.72/1.11  showstatus =       2000
% 0.72/1.11  
% 0.72/1.11  prologoutput =     1
% 0.72/1.11  nrgoals =          5000000
% 0.72/1.11  totalproof =       1
% 0.72/1.11  
% 0.72/1.11  Symbols occurring in the translation:
% 0.72/1.11  
% 0.72/1.11  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.72/1.11  .  [1, 2]      (w:1, o:59, a:1, s:1, b:0), 
% 0.72/1.11  !  [4, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 0.72/1.11  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.72/1.11  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.72/1.11  p2  [40, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 0.72/1.11  p3  [42, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 0.72/1.11  c13  [43, 0]      (w:1, o:24, a:1, s:1, b:0), 
% 0.72/1.11  f9  [44, 1]      (w:1, o:56, a:1, s:1, b:0), 
% 0.72/1.11  c14  [45, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 0.72/1.11  p11  [46, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 0.72/1.11  c12  [47, 0]      (w:1, o:23, a:1, s:1, b:0), 
% 0.72/1.11  f6  [48, 1]      (w:1, o:58, a:1, s:1, b:0), 
% 0.72/1.11  f5  [49, 1]      (w:1, o:57, a:1, s:1, b:0), 
% 0.72/1.11  p10  [53, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 0.72/1.11  f8  [54, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 0.72/1.11  f7  [55, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 0.72/1.11  f4  [80, 2]      (w:1, o:88, a:1, s:1, b:0).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  Starting Search:
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  Bliksems!, er is een bewijs:
% 0.72/1.11  % SZS status Unsatisfiable
% 0.72/1.11  % SZS output start Refutation
% 0.72/1.11  
% 0.72/1.11  clause( 2, [ ~( p11( f9( c13 ), f9( c14 ) ) ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 3, [ p11( f5( f6( c12 ) ), f9( X ) ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 4, [ p10( X, Y ), p11( Y, X ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 5, [ ~( p10( X, Y ) ), ~( p11( Y, X ) ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 6, [ ~( p3( f6( f7( f8( c12 ) ) ), f6( c12 ) ) ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 17, [ p11( f4( f9( c13 ), f6( f7( f8( c12 ) ) ) ), f4( f9( c14 ), 
% 0.72/1.11    f6( f7( f8( c12 ) ) ) ) ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 19, [ p10( f4( Y, X ), f4( Z, X ) ), ~( p10( Y, Z ) ), p3( X, f6( 
% 0.72/1.11    c12 ) ), ~( p11( f5( f6( c12 ) ), Y ) ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 23, [ p10( f9( c14 ), f9( c13 ) ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 30, [ ~( p10( f4( f9( c14 ), f6( f7( f8( c12 ) ) ) ), f4( f9( c13 )
% 0.72/1.11    , f6( f7( f8( c12 ) ) ) ) ) ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 37, [ p10( f4( f9( X ), Y ), f4( Z, Y ) ), p3( Y, f6( c12 ) ), ~( 
% 0.72/1.11    p10( f9( X ), Z ) ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 45, [ p10( f4( f9( c14 ), X ), f4( f9( c13 ), X ) ), p3( X, f6( c12
% 0.72/1.11     ) ) ] )
% 0.72/1.11  .
% 0.72/1.11  clause( 53, [] )
% 0.72/1.11  .
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  % SZS output end Refutation
% 0.72/1.11  found a proof!
% 0.72/1.11  
% 0.72/1.11  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.11  
% 0.72/1.11  initialclauses(
% 0.72/1.11  [ clause( 55, [ p2( X, X ) ] )
% 0.72/1.11  , clause( 56, [ p3( X, X ) ] )
% 0.72/1.11  , clause( 57, [ ~( p11( f9( c13 ), f9( c14 ) ) ) ] )
% 0.72/1.11  , clause( 58, [ p11( f5( f6( c12 ) ), f9( X ) ) ] )
% 0.72/1.11  , clause( 59, [ p10( X, Y ), p11( Y, X ) ] )
% 0.72/1.11  , clause( 60, [ ~( p10( X, Y ) ), ~( p11( Y, X ) ) ] )
% 0.72/1.11  , clause( 61, [ ~( p3( f6( f7( f8( c12 ) ) ), f6( c12 ) ) ) ] )
% 0.72/1.11  , clause( 62, [ p3( f8( X ), f8( Y ) ), ~( p3( X, Y ) ) ] )
% 0.72/1.11  , clause( 63, [ p2( f5( X ), f5( Y ) ), ~( p3( X, Y ) ) ] )
% 0.72/1.11  , clause( 64, [ p2( f9( X ), f9( Y ) ), ~( p2( X, Y ) ) ] )
% 0.72/1.11  , clause( 65, [ p3( f6( X ), f6( Y ) ), ~( p3( X, Y ) ) ] )
% 0.72/1.11  , clause( 66, [ p3( f7( X ), f7( Y ) ), ~( p3( X, Y ) ) ] )
% 0.72/1.11  , clause( 67, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.72/1.11  , clause( 68, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 0.72/1.11  , clause( 69, [ p10( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p10( Z, T
% 0.72/1.11     ) ) ] )
% 0.72/1.11  , clause( 70, [ p11( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p11( Z, T
% 0.72/1.11     ) ) ] )
% 0.72/1.11  , clause( 71, [ p2( f4( X, Y ), f4( Z, T ) ), ~( p2( X, Z ) ), ~( p3( Y, T
% 0.72/1.11     ) ) ] )
% 0.72/1.11  , clause( 72, [ p11( f4( f9( c13 ), f6( f7( f8( c12 ) ) ) ), f4( f9( c14 )
% 0.72/1.11    , f6( f7( f8( c12 ) ) ) ) ) ] )
% 0.72/1.11  , clause( 73, [ p11( f4( X, Y ), f4( Z, Y ) ), ~( p11( X, Z ) ), ~( p11( f5( 
% 0.72/1.11    f6( c12 ) ), X ) ) ] )
% 0.72/1.11  , clause( 74, [ p3( X, f6( c12 ) ), p10( f4( Y, X ), f4( Z, X ) ), ~( p10( 
% 0.72/1.11    Y, Z ) ), ~( p11( f5( f6( c12 ) ), Y ) ) ] )
% 0.72/1.11  ] ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 2, [ ~( p11( f9( c13 ), f9( c14 ) ) ) ] )
% 0.72/1.11  , clause( 57, [ ~( p11( f9( c13 ), f9( c14 ) ) ) ] )
% 0.72/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 3, [ p11( f5( f6( c12 ) ), f9( X ) ) ] )
% 0.72/1.11  , clause( 58, [ p11( f5( f6( c12 ) ), f9( X ) ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 4, [ p10( X, Y ), p11( Y, X ) ] )
% 0.72/1.11  , clause( 59, [ p10( X, Y ), p11( Y, X ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.11     ), ==>( 1, 1 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 5, [ ~( p10( X, Y ) ), ~( p11( Y, X ) ) ] )
% 0.72/1.11  , clause( 60, [ ~( p10( X, Y ) ), ~( p11( Y, X ) ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.11     ), ==>( 1, 1 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 6, [ ~( p3( f6( f7( f8( c12 ) ) ), f6( c12 ) ) ) ] )
% 0.72/1.11  , clause( 61, [ ~( p3( f6( f7( f8( c12 ) ) ), f6( c12 ) ) ) ] )
% 0.72/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 17, [ p11( f4( f9( c13 ), f6( f7( f8( c12 ) ) ) ), f4( f9( c14 ), 
% 0.72/1.11    f6( f7( f8( c12 ) ) ) ) ) ] )
% 0.72/1.11  , clause( 72, [ p11( f4( f9( c13 ), f6( f7( f8( c12 ) ) ) ), f4( f9( c14 )
% 0.72/1.11    , f6( f7( f8( c12 ) ) ) ) ) ] )
% 0.72/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 19, [ p10( f4( Y, X ), f4( Z, X ) ), ~( p10( Y, Z ) ), p3( X, f6( 
% 0.72/1.11    c12 ) ), ~( p11( f5( f6( c12 ) ), Y ) ) ] )
% 0.72/1.11  , clause( 74, [ p3( X, f6( c12 ) ), p10( f4( Y, X ), f4( Z, X ) ), ~( p10( 
% 0.72/1.11    Y, Z ) ), ~( p11( f5( f6( c12 ) ), Y ) ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.72/1.11    permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 3 )] )
% 0.72/1.11     ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  resolution(
% 0.72/1.11  clause( 84, [ p10( f9( c14 ), f9( c13 ) ) ] )
% 0.72/1.11  , clause( 2, [ ~( p11( f9( c13 ), f9( c14 ) ) ) ] )
% 0.72/1.11  , 0, clause( 4, [ p10( X, Y ), p11( Y, X ) ] )
% 0.72/1.11  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, f9( c14 ) ), :=( Y, 
% 0.72/1.11    f9( c13 ) )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 23, [ p10( f9( c14 ), f9( c13 ) ) ] )
% 0.72/1.11  , clause( 84, [ p10( f9( c14 ), f9( c13 ) ) ] )
% 0.72/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  resolution(
% 0.72/1.11  clause( 85, [ ~( p10( f4( f9( c14 ), f6( f7( f8( c12 ) ) ) ), f4( f9( c13 )
% 0.72/1.11    , f6( f7( f8( c12 ) ) ) ) ) ) ] )
% 0.72/1.11  , clause( 5, [ ~( p10( X, Y ) ), ~( p11( Y, X ) ) ] )
% 0.72/1.11  , 1, clause( 17, [ p11( f4( f9( c13 ), f6( f7( f8( c12 ) ) ) ), f4( f9( c14
% 0.72/1.11     ), f6( f7( f8( c12 ) ) ) ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, f4( f9( c14 ), f6( f7( f8( c12 ) ) ) ) ), 
% 0.72/1.11    :=( Y, f4( f9( c13 ), f6( f7( f8( c12 ) ) ) ) )] ), substitution( 1, [] )
% 0.72/1.11    ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 30, [ ~( p10( f4( f9( c14 ), f6( f7( f8( c12 ) ) ) ), f4( f9( c13 )
% 0.72/1.11    , f6( f7( f8( c12 ) ) ) ) ) ) ] )
% 0.72/1.11  , clause( 85, [ ~( p10( f4( f9( c14 ), f6( f7( f8( c12 ) ) ) ), f4( f9( c13
% 0.72/1.11     ), f6( f7( f8( c12 ) ) ) ) ) ) ] )
% 0.72/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  resolution(
% 0.72/1.11  clause( 86, [ p10( f4( f9( X ), Y ), f4( Z, Y ) ), ~( p10( f9( X ), Z ) ), 
% 0.72/1.11    p3( Y, f6( c12 ) ) ] )
% 0.72/1.11  , clause( 19, [ p10( f4( Y, X ), f4( Z, X ) ), ~( p10( Y, Z ) ), p3( X, f6( 
% 0.72/1.11    c12 ) ), ~( p11( f5( f6( c12 ) ), Y ) ) ] )
% 0.72/1.11  , 3, clause( 3, [ p11( f5( f6( c12 ) ), f9( X ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, Y ), :=( Y, f9( X ) ), :=( Z, Z )] ), 
% 0.72/1.11    substitution( 1, [ :=( X, X )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 37, [ p10( f4( f9( X ), Y ), f4( Z, Y ) ), p3( Y, f6( c12 ) ), ~( 
% 0.72/1.11    p10( f9( X ), Z ) ) ] )
% 0.72/1.11  , clause( 86, [ p10( f4( f9( X ), Y ), f4( Z, Y ) ), ~( p10( f9( X ), Z ) )
% 0.72/1.11    , p3( Y, f6( c12 ) ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.72/1.11    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  resolution(
% 0.72/1.11  clause( 87, [ p10( f4( f9( c14 ), X ), f4( f9( c13 ), X ) ), p3( X, f6( c12
% 0.72/1.11     ) ) ] )
% 0.72/1.11  , clause( 37, [ p10( f4( f9( X ), Y ), f4( Z, Y ) ), p3( Y, f6( c12 ) ), 
% 0.72/1.11    ~( p10( f9( X ), Z ) ) ] )
% 0.72/1.11  , 2, clause( 23, [ p10( f9( c14 ), f9( c13 ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [ :=( X, c14 ), :=( Y, X ), :=( Z, f9( c13 ) )] ), 
% 0.72/1.11    substitution( 1, [] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 45, [ p10( f4( f9( c14 ), X ), f4( f9( c13 ), X ) ), p3( X, f6( c12
% 0.72/1.11     ) ) ] )
% 0.72/1.11  , clause( 87, [ p10( f4( f9( c14 ), X ), f4( f9( c13 ), X ) ), p3( X, f6( 
% 0.72/1.11    c12 ) ) ] )
% 0.72/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.72/1.11    1 )] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  resolution(
% 0.72/1.11  clause( 88, [ p10( f4( f9( c14 ), f6( f7( f8( c12 ) ) ) ), f4( f9( c13 ), 
% 0.72/1.11    f6( f7( f8( c12 ) ) ) ) ) ] )
% 0.72/1.11  , clause( 6, [ ~( p3( f6( f7( f8( c12 ) ) ), f6( c12 ) ) ) ] )
% 0.72/1.11  , 0, clause( 45, [ p10( f4( f9( c14 ), X ), f4( f9( c13 ), X ) ), p3( X, f6( 
% 0.72/1.11    c12 ) ) ] )
% 0.72/1.11  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, f6( f7( f8( c12 ) ) )
% 0.72/1.11     )] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  resolution(
% 0.72/1.11  clause( 89, [] )
% 0.72/1.11  , clause( 30, [ ~( p10( f4( f9( c14 ), f6( f7( f8( c12 ) ) ) ), f4( f9( c13
% 0.72/1.11     ), f6( f7( f8( c12 ) ) ) ) ) ) ] )
% 0.72/1.11  , 0, clause( 88, [ p10( f4( f9( c14 ), f6( f7( f8( c12 ) ) ) ), f4( f9( c13
% 0.72/1.11     ), f6( f7( f8( c12 ) ) ) ) ) ] )
% 0.72/1.11  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  subsumption(
% 0.72/1.11  clause( 53, [] )
% 0.72/1.11  , clause( 89, [] )
% 0.72/1.11  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  end.
% 0.72/1.11  
% 0.72/1.11  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.11  
% 0.72/1.11  Memory use:
% 0.72/1.11  
% 0.72/1.11  space for terms:        1265
% 0.72/1.11  space for clauses:      3761
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  clauses generated:      70
% 0.72/1.11  clauses kept:           54
% 0.72/1.11  clauses selected:       38
% 0.72/1.11  clauses deleted:        0
% 0.72/1.11  clauses inuse deleted:  0
% 0.72/1.11  
% 0.72/1.11  subsentry:          68
% 0.72/1.11  literals s-matched: 40
% 0.72/1.11  literals matched:   40
% 0.72/1.11  full subsumption:   8
% 0.72/1.11  
% 0.72/1.11  checksum:           1778698505
% 0.72/1.11  
% 0.72/1.11  
% 0.72/1.11  Bliksem ended
%------------------------------------------------------------------------------