TSTP Solution File: SYN578-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN578-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n008.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 0.79s 1.14s
% Output   : Refutation 0.79s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SYN578-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.14  % Command  : bliksem %s
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % DateTime : Tue Jul 12 01:00:08 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.79/1.14  *** allocated 10000 integers for termspace/termends
% 0.79/1.14  *** allocated 10000 integers for clauses
% 0.79/1.14  *** allocated 10000 integers for justifications
% 0.79/1.14  Bliksem 1.12
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  Automatic Strategy Selection
% 0.79/1.14  
% 0.79/1.14  Clauses:
% 0.79/1.14  [
% 0.79/1.14     [ p10( X, X ) ],
% 0.79/1.14     [ p7( X, X ) ],
% 0.79/1.14     [ p3( X, X ) ],
% 0.79/1.14     [ p2( X, X ) ],
% 0.79/1.14     [ p9( c12, c13 ) ],
% 0.79/1.14     [ p11( c14, c15 ) ],
% 0.79/1.14     [ p2( c16, f5( c14 ) ) ],
% 0.79/1.14     [ p3( f4( f5( X ) ), f4( X ) ) ],
% 0.79/1.14     [ p3( f6( f5( X ) ), f6( X ) ) ],
% 0.79/1.14     [ p9( X, c13 ), ~( p9( X, f4( c16 ) ) ) ],
% 0.79/1.14     [ p9( X, f4( c16 ) ), ~( p9( X, c13 ) ) ],
% 0.79/1.14     [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ],
% 0.79/1.14     [ p3( f6( X ), f6( Y ) ), ~( p2( X, Y ) ) ],
% 0.79/1.14     [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ],
% 0.79/1.14     [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ],
% 0.79/1.14     [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ],
% 0.79/1.14     [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ],
% 0.79/1.14     [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.79/1.14     [ p11( X, Y ), ~( p11( Z, T ) ), ~( p2( Z, X ) ), ~( p10( T, Y ) ) ]
% 0.79/1.14    ,
% 0.79/1.14     [ p9( X, Y ), ~( p7( Z, X ) ), ~( p9( Z, T ) ), ~( p3( T, Y ) ) ],
% 0.79/1.14     [ p7( f8( X, Y ), f8( Z, T ) ), ~( p2( Y, T ) ), ~( p3( X, Z ) ) ],
% 0.79/1.14     [ p9( f8( X, Y ), X ), p9( f8( X, Y ), f4( Y ) ), ~( p11( Y, c15 ) ), 
% 0.79/1.14    ~( p9( c12, X ) ) ],
% 0.79/1.14     [ ~( p11( X, c15 ) ), ~( p9( c12, Y ) ), ~( p9( f8( Y, X ), Y ) ), ~( p9( 
% 0.79/1.14    f8( Y, X ), f4( X ) ) ) ]
% 0.79/1.14  ] .
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  percentage equality = 0.000000, percentage horn = 0.956522
% 0.79/1.14  This is a near-Horn, non-equality  problem
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  Options Used:
% 0.79/1.14  
% 0.79/1.14  useres =            1
% 0.79/1.14  useparamod =        0
% 0.79/1.14  useeqrefl =         0
% 0.79/1.14  useeqfact =         0
% 0.79/1.14  usefactor =         1
% 0.79/1.14  usesimpsplitting =  0
% 0.79/1.14  usesimpdemod =      0
% 0.79/1.14  usesimpres =        4
% 0.79/1.14  
% 0.79/1.14  resimpinuse      =  1000
% 0.79/1.14  resimpclauses =     20000
% 0.79/1.14  substype =          standard
% 0.79/1.14  backwardsubs =      1
% 0.79/1.14  selectoldest =      5
% 0.79/1.14  
% 0.79/1.14  litorderings [0] =  split
% 0.79/1.14  litorderings [1] =  liftord
% 0.79/1.14  
% 0.79/1.14  termordering =      none
% 0.79/1.14  
% 0.79/1.14  litapriori =        1
% 0.79/1.14  termapriori =       0
% 0.79/1.14  litaposteriori =    0
% 0.79/1.14  termaposteriori =   0
% 0.79/1.14  demodaposteriori =  0
% 0.79/1.14  ordereqreflfact =   0
% 0.79/1.14  
% 0.79/1.14  litselect =         negative
% 0.79/1.14  
% 0.79/1.14  maxweight =         30000
% 0.79/1.14  maxdepth =          30000
% 0.79/1.14  maxlength =         115
% 0.79/1.14  maxnrvars =         195
% 0.79/1.14  excuselevel =       0
% 0.79/1.14  increasemaxweight = 0
% 0.79/1.14  
% 0.79/1.14  maxselected =       10000000
% 0.79/1.14  maxnrclauses =      10000000
% 0.79/1.14  
% 0.79/1.14  showgenerated =    0
% 0.79/1.14  showkept =         0
% 0.79/1.14  showselected =     0
% 0.79/1.14  showdeleted =      0
% 0.79/1.14  showresimp =       1
% 0.79/1.14  showstatus =       2000
% 0.79/1.14  
% 0.79/1.14  prologoutput =     1
% 0.79/1.14  nrgoals =          5000000
% 0.79/1.14  totalproof =       1
% 0.79/1.14  
% 0.79/1.14  Symbols occurring in the translation:
% 0.79/1.14  
% 0.79/1.14  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.79/1.14  .  [1, 2]      (w:1, o:57, a:1, s:1, b:0), 
% 0.79/1.14  !  [4, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 0.79/1.14  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.79/1.14  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.79/1.14  p10  [40, 2]      (w:1, o:82, a:1, s:1, b:0), 
% 0.79/1.14  p7  [42, 2]      (w:1, o:83, a:1, s:1, b:0), 
% 0.79/1.14  p3  [44, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 0.79/1.14  p2  [46, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 0.79/1.14  c12  [47, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 0.79/1.14  c13  [48, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 0.79/1.14  p9  [49, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 0.79/1.14  c14  [50, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 0.79/1.14  c15  [51, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 0.79/1.14  p11  [52, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 0.79/1.14  c16  [53, 0]      (w:1, o:30, a:1, s:1, b:0), 
% 0.79/1.14  f5  [54, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 0.79/1.14  f4  [56, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 0.79/1.14  f6  [58, 1]      (w:1, o:56, a:1, s:1, b:0), 
% 0.79/1.14  f8  [84, 2]      (w:1, o:88, a:1, s:1, b:0).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  Starting Search:
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  Bliksems!, er is een bewijs:
% 0.79/1.14  % SZS status Unsatisfiable
% 0.79/1.14  % SZS output start Refutation
% 0.79/1.14  
% 0.79/1.14  clause( 1, [ p7( X, X ) ] )
% 0.79/1.14  .
% 0.79/1.14  clause( 2, [ p3( X, X ) ] )
% 0.79/1.14  .
% 0.79/1.14  clause( 4, [ p9( c12, c13 ) ] )
% 0.79/1.14  .
% 0.79/1.14  clause( 5, [ p11( c14, c15 ) ] )
% 0.79/1.14  .
% 0.79/1.14  clause( 6, [ p2( c16, f5( c14 ) ) ] )
% 0.79/1.14  .
% 0.79/1.14  clause( 7, [ p3( f4( f5( X ) ), f4( X ) ) ] )
% 0.79/1.14  .
% 0.79/1.14  clause( 10, [ p9( X, f4( c16 ) ), ~( p9( X, c13 ) ) ] )
% 0.79/1.14  .
% 0.79/1.14  clause( 13, [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.79/1.14  .
% 0.79/1.14  clause( 16, [ ~( p3( Z, X ) ), p3( X, Y ), ~( p3( Z, Y ) ) ] )
% 0.79/1.14  .
% 0.79/1.14  clause( 19, [ ~( p9( Z, T ) ), ~( p3( T, Y ) ), p9( X, Y ), ~( p7( Z, X ) )
% 0.79/1.14     ] )
% 0.79/1.14  .
% 0.79/1.14  clause( 21, [ ~( p11( Y, c15 ) ), p9( f8( X, Y ), f4( Y ) ), p9( f8( X, Y )
% 0.79/1.14    , X ), ~( p9( c12, X ) ) ] )
% 0.79/1.14  .
% 0.79/1.14  clause( 22, [ ~( p11( X, c15 ) ), ~( p9( f8( Y, X ), Y ) ), ~( p9( f8( Y, X
% 0.79/1.14     ), f4( X ) ) ), ~( p9( c12, Y ) ) ] )
% 0.79/1.14  .
% 0.79/1.14  clause( 23, [ ~( p11( X, c15 ) ), p9( f8( f4( X ), X ), f4( X ) ), ~( p9( 
% 0.79/1.14    c12, f4( X ) ) ) ] )
% 0.79/1.14  .
% 0.79/1.14  clause( 24, [ ~( p11( X, c15 ) ), ~( p9( c12, f4( X ) ) ) ] )
% 0.79/1.14  .
% 0.79/1.14  clause( 25, [ p9( c12, f4( c16 ) ) ] )
% 0.79/1.14  .
% 0.79/1.14  clause( 26, [ p3( f4( c16 ), f4( f5( c14 ) ) ) ] )
% 0.79/1.14  .
% 0.79/1.14  clause( 47, [ p3( Y, f4( X ) ), ~( p3( f4( f5( X ) ), Y ) ) ] )
% 0.79/1.14  .
% 0.79/1.14  clause( 49, [ p3( Y, X ), ~( p3( X, Y ) ) ] )
% 0.79/1.14  .
% 0.79/1.14  clause( 55, [ p3( f4( f5( c14 ) ), f4( c16 ) ) ] )
% 0.79/1.14  .
% 0.79/1.14  clause( 76, [ ~( p9( X, Y ) ), p9( X, Z ), ~( p3( Y, Z ) ) ] )
% 0.79/1.14  .
% 0.79/1.14  clause( 275, [ p3( f4( c16 ), f4( c14 ) ) ] )
% 0.79/1.14  .
% 0.79/1.14  clause( 427, [ p9( X, f4( c14 ) ), ~( p9( X, f4( c16 ) ) ) ] )
% 0.79/1.14  .
% 0.79/1.14  clause( 488, [ p9( c12, f4( c14 ) ) ] )
% 0.79/1.14  .
% 0.79/1.14  clause( 493, [] )
% 0.79/1.14  .
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  % SZS output end Refutation
% 0.79/1.14  found a proof!
% 0.79/1.14  
% 0.79/1.14  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.79/1.14  
% 0.79/1.14  initialclauses(
% 0.79/1.14  [ clause( 495, [ p10( X, X ) ] )
% 0.79/1.14  , clause( 496, [ p7( X, X ) ] )
% 0.79/1.14  , clause( 497, [ p3( X, X ) ] )
% 0.79/1.14  , clause( 498, [ p2( X, X ) ] )
% 0.79/1.14  , clause( 499, [ p9( c12, c13 ) ] )
% 0.79/1.14  , clause( 500, [ p11( c14, c15 ) ] )
% 0.79/1.14  , clause( 501, [ p2( c16, f5( c14 ) ) ] )
% 0.79/1.14  , clause( 502, [ p3( f4( f5( X ) ), f4( X ) ) ] )
% 0.79/1.14  , clause( 503, [ p3( f6( f5( X ) ), f6( X ) ) ] )
% 0.79/1.14  , clause( 504, [ p9( X, c13 ), ~( p9( X, f4( c16 ) ) ) ] )
% 0.79/1.14  , clause( 505, [ p9( X, f4( c16 ) ), ~( p9( X, c13 ) ) ] )
% 0.79/1.14  , clause( 506, [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ] )
% 0.79/1.14  , clause( 507, [ p3( f6( X ), f6( Y ) ), ~( p2( X, Y ) ) ] )
% 0.79/1.14  , clause( 508, [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.79/1.14  , clause( 509, [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ] )
% 0.79/1.14  , clause( 510, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 0.79/1.14  , clause( 511, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 0.79/1.14  , clause( 512, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.79/1.14  , clause( 513, [ p11( X, Y ), ~( p11( Z, T ) ), ~( p2( Z, X ) ), ~( p10( T
% 0.79/1.14    , Y ) ) ] )
% 0.79/1.14  , clause( 514, [ p9( X, Y ), ~( p7( Z, X ) ), ~( p9( Z, T ) ), ~( p3( T, Y
% 0.79/1.14     ) ) ] )
% 0.79/1.14  , clause( 515, [ p7( f8( X, Y ), f8( Z, T ) ), ~( p2( Y, T ) ), ~( p3( X, Z
% 0.79/1.14     ) ) ] )
% 0.79/1.14  , clause( 516, [ p9( f8( X, Y ), X ), p9( f8( X, Y ), f4( Y ) ), ~( p11( Y
% 0.79/1.14    , c15 ) ), ~( p9( c12, X ) ) ] )
% 0.79/1.14  , clause( 517, [ ~( p11( X, c15 ) ), ~( p9( c12, Y ) ), ~( p9( f8( Y, X ), 
% 0.79/1.14    Y ) ), ~( p9( f8( Y, X ), f4( X ) ) ) ] )
% 0.79/1.14  ] ).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  subsumption(
% 0.79/1.14  clause( 1, [ p7( X, X ) ] )
% 0.79/1.14  , clause( 496, [ p7( X, X ) ] )
% 0.79/1.14  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  subsumption(
% 0.79/1.14  clause( 2, [ p3( X, X ) ] )
% 0.79/1.14  , clause( 497, [ p3( X, X ) ] )
% 0.79/1.14  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  subsumption(
% 0.79/1.14  clause( 4, [ p9( c12, c13 ) ] )
% 0.79/1.14  , clause( 499, [ p9( c12, c13 ) ] )
% 0.79/1.14  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  subsumption(
% 0.79/1.14  clause( 5, [ p11( c14, c15 ) ] )
% 0.79/1.14  , clause( 500, [ p11( c14, c15 ) ] )
% 0.79/1.14  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  subsumption(
% 0.79/1.14  clause( 6, [ p2( c16, f5( c14 ) ) ] )
% 0.79/1.14  , clause( 501, [ p2( c16, f5( c14 ) ) ] )
% 0.79/1.14  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  subsumption(
% 0.79/1.14  clause( 7, [ p3( f4( f5( X ) ), f4( X ) ) ] )
% 0.79/1.14  , clause( 502, [ p3( f4( f5( X ) ), f4( X ) ) ] )
% 0.79/1.14  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  subsumption(
% 0.79/1.14  clause( 10, [ p9( X, f4( c16 ) ), ~( p9( X, c13 ) ) ] )
% 0.79/1.14  , clause( 505, [ p9( X, f4( c16 ) ), ~( p9( X, c13 ) ) ] )
% 0.79/1.14  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.79/1.14    1 )] ) ).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  subsumption(
% 0.79/1.14  clause( 13, [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.79/1.14  , clause( 508, [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.79/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.14     ), ==>( 1, 1 )] ) ).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  subsumption(
% 0.79/1.14  clause( 16, [ ~( p3( Z, X ) ), p3( X, Y ), ~( p3( Z, Y ) ) ] )
% 0.79/1.14  , clause( 511, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 0.79/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.79/1.14    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  subsumption(
% 0.79/1.14  clause( 19, [ ~( p9( Z, T ) ), ~( p3( T, Y ) ), p9( X, Y ), ~( p7( Z, X ) )
% 0.79/1.14     ] )
% 0.79/1.14  , clause( 514, [ p9( X, Y ), ~( p7( Z, X ) ), ~( p9( Z, T ) ), ~( p3( T, Y
% 0.79/1.14     ) ) ] )
% 0.79/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.79/1.14    permutation( 0, [ ==>( 0, 2 ), ==>( 1, 3 ), ==>( 2, 0 ), ==>( 3, 1 )] )
% 0.79/1.14     ).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  subsumption(
% 0.79/1.14  clause( 21, [ ~( p11( Y, c15 ) ), p9( f8( X, Y ), f4( Y ) ), p9( f8( X, Y )
% 0.79/1.14    , X ), ~( p9( c12, X ) ) ] )
% 0.79/1.14  , clause( 516, [ p9( f8( X, Y ), X ), p9( f8( X, Y ), f4( Y ) ), ~( p11( Y
% 0.79/1.14    , c15 ) ), ~( p9( c12, X ) ) ] )
% 0.79/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.79/1.14     ), ==>( 1, 1 ), ==>( 2, 0 ), ==>( 3, 3 )] ) ).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  subsumption(
% 0.79/1.14  clause( 22, [ ~( p11( X, c15 ) ), ~( p9( f8( Y, X ), Y ) ), ~( p9( f8( Y, X
% 0.79/1.14     ), f4( X ) ) ), ~( p9( c12, Y ) ) ] )
% 0.79/1.14  , clause( 517, [ ~( p11( X, c15 ) ), ~( p9( c12, Y ) ), ~( p9( f8( Y, X ), 
% 0.79/1.14    Y ) ), ~( p9( f8( Y, X ), f4( X ) ) ) ] )
% 0.79/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.79/1.14     ), ==>( 1, 3 ), ==>( 2, 1 ), ==>( 3, 2 )] ) ).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  factor(
% 0.79/1.14  clause( 536, [ ~( p11( X, c15 ) ), p9( f8( f4( X ), X ), f4( X ) ), ~( p9( 
% 0.79/1.14    c12, f4( X ) ) ) ] )
% 0.79/1.14  , clause( 21, [ ~( p11( Y, c15 ) ), p9( f8( X, Y ), f4( Y ) ), p9( f8( X, Y
% 0.79/1.14     ), X ), ~( p9( c12, X ) ) ] )
% 0.79/1.14  , 1, 2, substitution( 0, [ :=( X, f4( X ) ), :=( Y, X )] )).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  subsumption(
% 0.79/1.14  clause( 23, [ ~( p11( X, c15 ) ), p9( f8( f4( X ), X ), f4( X ) ), ~( p9( 
% 0.79/1.14    c12, f4( X ) ) ) ] )
% 0.79/1.14  , clause( 536, [ ~( p11( X, c15 ) ), p9( f8( f4( X ), X ), f4( X ) ), ~( p9( 
% 0.79/1.14    c12, f4( X ) ) ) ] )
% 0.79/1.14  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.79/1.14    1 ), ==>( 2, 2 )] ) ).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  factor(
% 0.79/1.14  clause( 537, [ ~( p11( X, c15 ) ), ~( p9( f8( f4( X ), X ), f4( X ) ) ), 
% 0.79/1.14    ~( p9( c12, f4( X ) ) ) ] )
% 0.79/1.14  , clause( 22, [ ~( p11( X, c15 ) ), ~( p9( f8( Y, X ), Y ) ), ~( p9( f8( Y
% 0.79/1.14    , X ), f4( X ) ) ), ~( p9( c12, Y ) ) ] )
% 0.79/1.14  , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, f4( X ) )] )).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  resolution(
% 0.79/1.14  clause( 538, [ ~( p11( X, c15 ) ), ~( p9( c12, f4( X ) ) ), ~( p11( X, c15
% 0.79/1.14     ) ), ~( p9( c12, f4( X ) ) ) ] )
% 0.79/1.14  , clause( 537, [ ~( p11( X, c15 ) ), ~( p9( f8( f4( X ), X ), f4( X ) ) ), 
% 0.79/1.14    ~( p9( c12, f4( X ) ) ) ] )
% 0.79/1.14  , 1, clause( 23, [ ~( p11( X, c15 ) ), p9( f8( f4( X ), X ), f4( X ) ), ~( 
% 0.79/1.14    p9( c12, f4( X ) ) ) ] )
% 0.79/1.14  , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 0.79/1.14    ).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  factor(
% 0.79/1.14  clause( 540, [ ~( p11( X, c15 ) ), ~( p9( c12, f4( X ) ) ), ~( p11( X, c15
% 0.79/1.14     ) ) ] )
% 0.79/1.14  , clause( 538, [ ~( p11( X, c15 ) ), ~( p9( c12, f4( X ) ) ), ~( p11( X, 
% 0.79/1.14    c15 ) ), ~( p9( c12, f4( X ) ) ) ] )
% 0.79/1.14  , 1, 3, substitution( 0, [ :=( X, X )] )).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  factor(
% 0.79/1.14  clause( 541, [ ~( p11( X, c15 ) ), ~( p9( c12, f4( X ) ) ) ] )
% 0.79/1.14  , clause( 540, [ ~( p11( X, c15 ) ), ~( p9( c12, f4( X ) ) ), ~( p11( X, 
% 0.79/1.14    c15 ) ) ] )
% 0.79/1.14  , 0, 2, substitution( 0, [ :=( X, X )] )).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  subsumption(
% 0.79/1.14  clause( 24, [ ~( p11( X, c15 ) ), ~( p9( c12, f4( X ) ) ) ] )
% 0.79/1.14  , clause( 541, [ ~( p11( X, c15 ) ), ~( p9( c12, f4( X ) ) ) ] )
% 0.79/1.14  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.79/1.14    1 )] ) ).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  resolution(
% 0.79/1.14  clause( 542, [ p9( c12, f4( c16 ) ) ] )
% 0.79/1.14  , clause( 10, [ p9( X, f4( c16 ) ), ~( p9( X, c13 ) ) ] )
% 0.79/1.14  , 1, clause( 4, [ p9( c12, c13 ) ] )
% 0.79/1.14  , 0, substitution( 0, [ :=( X, c12 )] ), substitution( 1, [] )).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  subsumption(
% 0.79/1.14  clause( 25, [ p9( c12, f4( c16 ) ) ] )
% 0.79/1.14  , clause( 542, [ p9( c12, f4( c16 ) ) ] )
% 0.79/1.14  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  resolution(
% 0.79/1.14  clause( 543, [ p3( f4( c16 ), f4( f5( c14 ) ) ) ] )
% 0.79/1.14  , clause( 13, [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.79/1.14  , 1, clause( 6, [ p2( c16, f5( c14 ) ) ] )
% 0.79/1.14  , 0, substitution( 0, [ :=( X, c16 ), :=( Y, f5( c14 ) )] ), substitution( 
% 0.79/1.14    1, [] )).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  subsumption(
% 0.79/1.14  clause( 26, [ p3( f4( c16 ), f4( f5( c14 ) ) ) ] )
% 0.79/1.14  , clause( 543, [ p3( f4( c16 ), f4( f5( c14 ) ) ) ] )
% 0.79/1.14  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  resolution(
% 0.79/1.14  clause( 545, [ ~( p3( f4( f5( X ) ), Y ) ), p3( Y, f4( X ) ) ] )
% 0.79/1.14  , clause( 16, [ ~( p3( Z, X ) ), p3( X, Y ), ~( p3( Z, Y ) ) ] )
% 0.79/1.14  , 2, clause( 7, [ p3( f4( f5( X ) ), f4( X ) ) ] )
% 0.79/1.14  , 0, substitution( 0, [ :=( X, Y ), :=( Y, f4( X ) ), :=( Z, f4( f5( X ) )
% 0.79/1.14     )] ), substitution( 1, [ :=( X, X )] )).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  subsumption(
% 0.79/1.14  clause( 47, [ p3( Y, f4( X ) ), ~( p3( f4( f5( X ) ), Y ) ) ] )
% 0.79/1.14  , clause( 545, [ ~( p3( f4( f5( X ) ), Y ) ), p3( Y, f4( X ) ) ] )
% 0.79/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.79/1.14     ), ==>( 1, 0 )] ) ).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  resolution(
% 0.79/1.14  clause( 547, [ ~( p3( X, Y ) ), p3( Y, X ) ] )
% 0.79/1.14  , clause( 16, [ ~( p3( Z, X ) ), p3( X, Y ), ~( p3( Z, Y ) ) ] )
% 0.79/1.14  , 2, clause( 2, [ p3( X, X ) ] )
% 0.79/1.14  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ), 
% 0.79/1.14    substitution( 1, [ :=( X, X )] )).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  subsumption(
% 0.79/1.14  clause( 49, [ p3( Y, X ), ~( p3( X, Y ) ) ] )
% 0.79/1.14  , clause( 547, [ ~( p3( X, Y ) ), p3( Y, X ) ] )
% 0.79/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.79/1.14     ), ==>( 1, 0 )] ) ).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  resolution(
% 0.79/1.14  clause( 548, [ p3( f4( f5( c14 ) ), f4( c16 ) ) ] )
% 0.79/1.14  , clause( 49, [ p3( Y, X ), ~( p3( X, Y ) ) ] )
% 0.79/1.14  , 1, clause( 26, [ p3( f4( c16 ), f4( f5( c14 ) ) ) ] )
% 0.79/1.14  , 0, substitution( 0, [ :=( X, f4( c16 ) ), :=( Y, f4( f5( c14 ) ) )] ), 
% 0.79/1.14    substitution( 1, [] )).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  subsumption(
% 0.79/1.14  clause( 55, [ p3( f4( f5( c14 ) ), f4( c16 ) ) ] )
% 0.79/1.14  , clause( 548, [ p3( f4( f5( c14 ) ), f4( c16 ) ) ] )
% 0.79/1.14  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  resolution(
% 0.79/1.14  clause( 549, [ ~( p9( X, Y ) ), ~( p3( Y, Z ) ), p9( X, Z ) ] )
% 0.79/1.14  , clause( 19, [ ~( p9( Z, T ) ), ~( p3( T, Y ) ), p9( X, Y ), ~( p7( Z, X )
% 0.79/1.14     ) ] )
% 0.79/1.14  , 3, clause( 1, [ p7( X, X ) ] )
% 0.79/1.14  , 0, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] ), 
% 0.79/1.14    substitution( 1, [ :=( X, X )] )).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  subsumption(
% 0.79/1.14  clause( 76, [ ~( p9( X, Y ) ), p9( X, Z ), ~( p3( Y, Z ) ) ] )
% 0.79/1.14  , clause( 549, [ ~( p9( X, Y ) ), ~( p3( Y, Z ) ), p9( X, Z ) ] )
% 0.79/1.14  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.79/1.14    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  resolution(
% 0.79/1.14  clause( 550, [ p3( f4( c16 ), f4( c14 ) ) ] )
% 0.79/1.14  , clause( 47, [ p3( Y, f4( X ) ), ~( p3( f4( f5( X ) ), Y ) ) ] )
% 0.79/1.14  , 1, clause( 55, [ p3( f4( f5( c14 ) ), f4( c16 ) ) ] )
% 0.79/1.14  , 0, substitution( 0, [ :=( X, c14 ), :=( Y, f4( c16 ) )] ), substitution( 
% 0.79/1.14    1, [] )).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  subsumption(
% 0.79/1.14  clause( 275, [ p3( f4( c16 ), f4( c14 ) ) ] )
% 0.79/1.14  , clause( 550, [ p3( f4( c16 ), f4( c14 ) ) ] )
% 0.79/1.14  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  resolution(
% 0.79/1.14  clause( 551, [ ~( p9( X, f4( c16 ) ) ), p9( X, f4( c14 ) ) ] )
% 0.79/1.14  , clause( 76, [ ~( p9( X, Y ) ), p9( X, Z ), ~( p3( Y, Z ) ) ] )
% 0.79/1.14  , 2, clause( 275, [ p3( f4( c16 ), f4( c14 ) ) ] )
% 0.79/1.14  , 0, substitution( 0, [ :=( X, X ), :=( Y, f4( c16 ) ), :=( Z, f4( c14 ) )] )
% 0.79/1.14    , substitution( 1, [] )).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  subsumption(
% 0.79/1.14  clause( 427, [ p9( X, f4( c14 ) ), ~( p9( X, f4( c16 ) ) ) ] )
% 0.79/1.14  , clause( 551, [ ~( p9( X, f4( c16 ) ) ), p9( X, f4( c14 ) ) ] )
% 0.79/1.14  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.79/1.14    0 )] ) ).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  resolution(
% 0.79/1.14  clause( 552, [ p9( c12, f4( c14 ) ) ] )
% 0.79/1.14  , clause( 427, [ p9( X, f4( c14 ) ), ~( p9( X, f4( c16 ) ) ) ] )
% 0.79/1.14  , 1, clause( 25, [ p9( c12, f4( c16 ) ) ] )
% 0.79/1.14  , 0, substitution( 0, [ :=( X, c12 )] ), substitution( 1, [] )).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  subsumption(
% 0.79/1.14  clause( 488, [ p9( c12, f4( c14 ) ) ] )
% 0.79/1.14  , clause( 552, [ p9( c12, f4( c14 ) ) ] )
% 0.79/1.14  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  resolution(
% 0.79/1.14  clause( 553, [ ~( p11( c14, c15 ) ) ] )
% 0.79/1.14  , clause( 24, [ ~( p11( X, c15 ) ), ~( p9( c12, f4( X ) ) ) ] )
% 0.79/1.14  , 1, clause( 488, [ p9( c12, f4( c14 ) ) ] )
% 0.79/1.14  , 0, substitution( 0, [ :=( X, c14 )] ), substitution( 1, [] )).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  resolution(
% 0.79/1.14  clause( 554, [] )
% 0.79/1.14  , clause( 553, [ ~( p11( c14, c15 ) ) ] )
% 0.79/1.14  , 0, clause( 5, [ p11( c14, c15 ) ] )
% 0.79/1.14  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  subsumption(
% 0.79/1.14  clause( 493, [] )
% 0.79/1.14  , clause( 554, [] )
% 0.79/1.14  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  end.
% 0.79/1.14  
% 0.79/1.14  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.79/1.14  
% 0.79/1.14  Memory use:
% 0.79/1.14  
% 0.79/1.14  space for terms:        6402
% 0.79/1.14  space for clauses:      28844
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  clauses generated:      871
% 0.79/1.14  clauses kept:           494
% 0.79/1.14  clauses selected:       171
% 0.79/1.14  clauses deleted:        1
% 0.79/1.14  clauses inuse deleted:  0
% 0.79/1.14  
% 0.79/1.14  subsentry:          963
% 0.79/1.14  literals s-matched: 806
% 0.79/1.14  literals matched:   806
% 0.79/1.14  full subsumption:   0
% 0.79/1.14  
% 0.79/1.14  checksum:           -1406853819
% 0.79/1.14  
% 0.79/1.14  
% 0.79/1.14  Bliksem ended
%------------------------------------------------------------------------------