TSTP Solution File: SYN626-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN626-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n029.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 02:53:29 EDT 2022

% Result   : Unsatisfiable 0.45s 1.10s
% Output   : Refutation 0.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN626-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n029.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 : Mon Jul 11 18:28:17 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.45/1.10  *** allocated 10000 integers for termspace/termends
% 0.45/1.10  *** allocated 10000 integers for clauses
% 0.45/1.10  *** allocated 10000 integers for justifications
% 0.45/1.10  Bliksem 1.12
% 0.45/1.10  
% 0.45/1.10  
% 0.45/1.10  Automatic Strategy Selection
% 0.45/1.10  
% 0.45/1.10  Clauses:
% 0.45/1.10  [
% 0.45/1.10     [ p11( X, X ) ],
% 0.45/1.10     [ p7( X, X ) ],
% 0.45/1.10     [ p6( X, X ) ],
% 0.45/1.10     [ p3( X, X ) ],
% 0.45/1.10     [ p2( X, X ) ],
% 0.45/1.10     [ p11( f13( f12( X ) ), X ) ],
% 0.45/1.10     [ p14( f4( f5( c20 ) ), f4( c21 ) ) ],
% 0.45/1.10     [ p16( X, Y ), ~( p15( X, Y ) ) ],
% 0.45/1.10     [ p15( c22, f8( f5( c20 ), f9( c23, c24 ) ) ) ],
% 0.45/1.10     [ p16( c22, X ), ~( p7( f12( f13( X ) ), X ) ) ],
% 0.45/1.10     [ p11( f13( X ), f13( Y ) ), ~( p7( X, Y ) ) ],
% 0.45/1.10     [ p7( f12( X ), f12( Y ) ), ~( p11( X, Y ) ) ],
% 0.45/1.10     [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ],
% 0.45/1.10     [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ],
% 0.45/1.10     [ p7( f12( f13( X ) ), X ), ~( p16( c22, X ) ) ],
% 0.45/1.10     [ p11( X, Y ), ~( p11( Z, X ) ), ~( p11( Z, Y ) ) ],
% 0.45/1.10     [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ],
% 0.45/1.10     [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ],
% 0.45/1.10     [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ],
% 0.45/1.10     [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.45/1.10     [ p15( X, Y ), ~( p16( X, Y ) ), ~( p19( X, Y ) ) ],
% 0.45/1.10     [ p15( X, Y ), ~( p16( X, Y ) ), ~( p18( X, Y ) ) ],
% 0.45/1.10     [ p15( X, Y ), ~( p16( X, Y ) ), ~( p17( X, Y ) ) ],
% 0.45/1.10     [ ~( p15( c22, f12( f13( f8( f5( c20 ), f9( c23, c24 ) ) ) ) ) ) ],
% 0.45/1.10     [ p17( X, Y ), p18( X, Y ), p19( X, Y ), ~( p15( X, Y ) ) ],
% 0.45/1.10     [ p14( X, Y ), ~( p3( Z, X ) ), ~( p3( T, Y ) ), ~( p14( Z, T ) ) ],
% 0.45/1.10     [ p19( X, Y ), ~( p6( Z, X ) ), ~( p7( T, Y ) ), ~( p19( Z, T ) ) ],
% 0.45/1.10     [ p18( X, Y ), ~( p6( Z, X ) ), ~( p7( T, Y ) ), ~( p18( Z, T ) ) ],
% 0.45/1.10     [ p17( X, Y ), ~( p6( Z, X ) ), ~( p7( T, Y ) ), ~( p17( Z, T ) ) ],
% 0.45/1.10     [ p16( X, Y ), ~( p6( Z, X ) ), ~( p7( T, Y ) ), ~( p16( Z, T ) ) ],
% 0.45/1.10     [ p15( X, Y ), ~( p6( Z, X ) ), ~( p7( T, Y ) ), ~( p15( Z, T ) ) ],
% 0.45/1.10     [ p3( f10( c22, f12( f13( f8( f5( c20 ), f9( c23, c24 ) ) ) ) ), f4( c21
% 0.45/1.10     ) ) ],
% 0.45/1.10     [ p7( f8( X, Y ), f8( Z, T ) ), ~( p2( X, Z ) ), ~( p6( Y, T ) ) ],
% 0.45/1.10     [ p3( f10( X, Y ), f10( Z, T ) ), ~( p6( X, Z ) ), ~( p7( Y, T ) ) ]
% 0.45/1.10    ,
% 0.45/1.10     [ p6( f9( X, Y ), f9( Z, T ) ), ~( p2( Y, T ) ), ~( p2( X, Z ) ) ]
% 0.45/1.10  ] .
% 0.45/1.10  
% 0.45/1.10  
% 0.45/1.10  percentage equality = 0.000000, percentage horn = 0.971429
% 0.45/1.10  This is a near-Horn, non-equality  problem
% 0.45/1.10  
% 0.45/1.10  
% 0.45/1.10  Options Used:
% 0.45/1.10  
% 0.45/1.10  useres =            1
% 0.45/1.10  useparamod =        0
% 0.45/1.10  useeqrefl =         0
% 0.45/1.10  useeqfact =         0
% 0.45/1.10  usefactor =         1
% 0.45/1.10  usesimpsplitting =  0
% 0.45/1.10  usesimpdemod =      0
% 0.45/1.10  usesimpres =        4
% 0.45/1.10  
% 0.45/1.10  resimpinuse      =  1000
% 0.45/1.10  resimpclauses =     20000
% 0.45/1.10  substype =          standard
% 0.45/1.10  backwardsubs =      1
% 0.45/1.10  selectoldest =      5
% 0.45/1.10  
% 0.45/1.10  litorderings [0] =  split
% 0.45/1.10  litorderings [1] =  liftord
% 0.45/1.10  
% 0.45/1.10  termordering =      none
% 0.45/1.10  
% 0.45/1.10  litapriori =        1
% 0.45/1.10  termapriori =       0
% 0.45/1.10  litaposteriori =    0
% 0.45/1.10  termaposteriori =   0
% 0.45/1.10  demodaposteriori =  0
% 0.45/1.10  ordereqreflfact =   0
% 0.45/1.10  
% 0.45/1.10  litselect =         negative
% 0.45/1.10  
% 0.45/1.10  maxweight =         30000
% 0.45/1.10  maxdepth =          30000
% 0.45/1.10  maxlength =         115
% 0.45/1.10  maxnrvars =         195
% 0.45/1.10  excuselevel =       0
% 0.45/1.10  increasemaxweight = 0
% 0.45/1.10  
% 0.45/1.10  maxselected =       10000000
% 0.45/1.10  maxnrclauses =      10000000
% 0.45/1.10  
% 0.45/1.10  showgenerated =    0
% 0.45/1.10  showkept =         0
% 0.45/1.10  showselected =     0
% 0.45/1.10  showdeleted =      0
% 0.45/1.10  showresimp =       1
% 0.45/1.10  showstatus =       2000
% 0.45/1.10  
% 0.45/1.10  prologoutput =     1
% 0.45/1.10  nrgoals =          5000000
% 0.45/1.10  totalproof =       1
% 0.45/1.10  
% 0.45/1.10  Symbols occurring in the translation:
% 0.45/1.10  
% 0.45/1.10  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.45/1.10  .  [1, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 0.45/1.10  !  [4, 1]      (w:1, o:77, a:1, s:1, b:0), 
% 0.45/1.10  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.45/1.10  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.45/1.10  p11  [40, 2]      (w:1, o:111, a:1, s:1, b:0), 
% 0.45/1.10  p7  [42, 2]      (w:1, o:113, a:1, s:1, b:0), 
% 0.45/1.10  p6  [44, 2]      (w:1, o:112, a:1, s:1, b:0), 
% 0.45/1.10  p3  [46, 2]      (w:1, o:121, a:1, s:1, b:0), 
% 0.45/1.10  p2  [48, 2]      (w:1, o:120, a:1, s:1, b:0), 
% 0.45/1.10  f12  [50, 1]      (w:1, o:82, a:1, s:1, b:0), 
% 0.45/1.10  f13  [51, 1]      (w:1, o:83, a:1, s:1, b:0), 
% 0.45/1.10  c20  [52, 0]      (w:1, o:55, a:1, s:1, b:0), 
% 0.45/1.10  f5  [53, 1]      (w:1, o:85, a:1, s:1, b:0), 
% 0.45/1.10  f4  [54, 1]      (w:1, o:84, a:1, s:1, b:0), 
% 0.45/1.10  c21  [55, 0]      (w:1, o:56, a:1, s:1, b:0), 
% 0.45/1.10  p14  [56, 2]      (w:1, o:114, a:1, s:1, b:0), 
% 0.45/1.10  p16  [59, 2]      (w:1, o:116, a:1, s:1, b:0), 
% 0.45/1.10  p15  [60, 2]      (w:1, o:115, a:1, s:1, b:0), 
% 0.45/1.10  c22  [61, 0]      (w:1, o:59, a:1, s:1, b:0), 
% 0.45/1.10  c23  [62, 0]      (w:1, o:60, a:1, s:1, b:0), 
% 0.45/1.10  c24  [63, 0]      (w:1, o:61, a:1, s:1, b:0), 
% 0.45/1.10  f9  [64, 2]      (w:1, o:123, a:1, s:1, b:0), 
% 0.45/1.10  f8  [65, 2]      (w:1, o:122, a:1, s:1, b:0), 
% 0.45/1.10  p19  [85, 2]      (w:1, o:119, a:1, s:1, b:0), 
% 0.45/1.10  p18  [86, 2]      (w:1, o:118, a:1, s:1, b:0), 
% 0.45/1.10  p17  [87, 2]      (w:1, o:117, a:1, s:1, b:0), 
% 0.45/1.10  f10  [112, 2]      (w:1, o:124, a:1, s:1, b:0).
% 0.45/1.10  
% 0.45/1.10  
% 0.45/1.10  Starting Search:
% 0.45/1.10  
% 0.45/1.10  
% 0.45/1.10  Bliksems!, er is een bewijs:
% 0.45/1.10  % SZS status Unsatisfiable
% 0.45/1.10  % SZS output start Refutation
% 0.45/1.10  
% 0.45/1.10  clause( 1, [ p7( X, X ) ] )
% 0.45/1.10  .
% 0.45/1.10  clause( 2, [ p6( X, X ) ] )
% 0.45/1.10  .
% 0.45/1.10  clause( 7, [ p16( X, Y ), ~( p15( X, Y ) ) ] )
% 0.45/1.10  .
% 0.45/1.10  clause( 8, [ p15( c22, f8( f5( c20 ), f9( c23, c24 ) ) ) ] )
% 0.45/1.10  .
% 0.45/1.10  clause( 14, [ p7( f12( f13( X ) ), X ), ~( p16( c22, X ) ) ] )
% 0.45/1.10  .
% 0.45/1.10  clause( 16, [ ~( p7( Z, X ) ), p7( X, Y ), ~( p7( Z, Y ) ) ] )
% 0.45/1.10  .
% 0.45/1.10  clause( 23, [ ~( p15( c22, f12( f13( f8( f5( c20 ), f9( c23, c24 ) ) ) ) )
% 0.45/1.10     ) ] )
% 0.45/1.10  .
% 0.45/1.10  clause( 30, [ ~( p6( Z, X ) ), p15( X, Y ), ~( p15( Z, T ) ), ~( p7( T, Y )
% 0.45/1.10     ) ] )
% 0.45/1.10  .
% 0.45/1.10  clause( 37, [ p16( c22, f8( f5( c20 ), f9( c23, c24 ) ) ) ] )
% 0.45/1.10  .
% 0.45/1.10  clause( 40, [ p7( f12( f13( f8( f5( c20 ), f9( c23, c24 ) ) ) ), f8( f5( 
% 0.45/1.10    c20 ), f9( c23, c24 ) ) ) ] )
% 0.45/1.10  .
% 0.45/1.10  clause( 50, [ p7( Y, X ), ~( p7( X, Y ) ) ] )
% 0.45/1.10  .
% 0.45/1.10  clause( 169, [ p7( f8( f5( c20 ), f9( c23, c24 ) ), f12( f13( f8( f5( c20 )
% 0.45/1.10    , f9( c23, c24 ) ) ) ) ) ] )
% 0.45/1.10  .
% 0.45/1.10  clause( 187, [ ~( p15( X, f8( f5( c20 ), f9( c23, c24 ) ) ) ), p15( Y, f12( 
% 0.45/1.10    f13( f8( f5( c20 ), f9( c23, c24 ) ) ) ) ), ~( p6( X, Y ) ) ] )
% 0.45/1.10  .
% 0.45/1.10  clause( 747, [ p15( X, f12( f13( f8( f5( c20 ), f9( c23, c24 ) ) ) ) ), ~( 
% 0.45/1.10    p15( X, f8( f5( c20 ), f9( c23, c24 ) ) ) ) ] )
% 0.45/1.10  .
% 0.45/1.10  clause( 748, [] )
% 0.45/1.10  .
% 0.45/1.10  
% 0.45/1.10  
% 0.45/1.10  % SZS output end Refutation
% 0.45/1.10  found a proof!
% 0.45/1.10  
% 0.45/1.10  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.10  
% 0.45/1.10  initialclauses(
% 0.45/1.10  [ clause( 750, [ p11( X, X ) ] )
% 0.45/1.10  , clause( 751, [ p7( X, X ) ] )
% 0.45/1.10  , clause( 752, [ p6( X, X ) ] )
% 0.45/1.10  , clause( 753, [ p3( X, X ) ] )
% 0.45/1.10  , clause( 754, [ p2( X, X ) ] )
% 0.45/1.10  , clause( 755, [ p11( f13( f12( X ) ), X ) ] )
% 0.45/1.10  , clause( 756, [ p14( f4( f5( c20 ) ), f4( c21 ) ) ] )
% 0.45/1.10  , clause( 757, [ p16( X, Y ), ~( p15( X, Y ) ) ] )
% 0.45/1.10  , clause( 758, [ p15( c22, f8( f5( c20 ), f9( c23, c24 ) ) ) ] )
% 0.45/1.11  , clause( 759, [ p16( c22, X ), ~( p7( f12( f13( X ) ), X ) ) ] )
% 0.45/1.11  , clause( 760, [ p11( f13( X ), f13( Y ) ), ~( p7( X, Y ) ) ] )
% 0.45/1.11  , clause( 761, [ p7( f12( X ), f12( Y ) ), ~( p11( X, Y ) ) ] )
% 0.45/1.11  , clause( 762, [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.45/1.11  , clause( 763, [ p2( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ] )
% 0.45/1.11  , clause( 764, [ p7( f12( f13( X ) ), X ), ~( p16( c22, X ) ) ] )
% 0.45/1.11  , clause( 765, [ p11( X, Y ), ~( p11( Z, X ) ), ~( p11( Z, Y ) ) ] )
% 0.45/1.11  , clause( 766, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 0.45/1.11  , clause( 767, [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ] )
% 0.45/1.11  , clause( 768, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 0.45/1.11  , clause( 769, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.45/1.11  , clause( 770, [ p15( X, Y ), ~( p16( X, Y ) ), ~( p19( X, Y ) ) ] )
% 0.45/1.11  , clause( 771, [ p15( X, Y ), ~( p16( X, Y ) ), ~( p18( X, Y ) ) ] )
% 0.45/1.11  , clause( 772, [ p15( X, Y ), ~( p16( X, Y ) ), ~( p17( X, Y ) ) ] )
% 0.45/1.11  , clause( 773, [ ~( p15( c22, f12( f13( f8( f5( c20 ), f9( c23, c24 ) ) ) )
% 0.45/1.11     ) ) ] )
% 0.45/1.11  , clause( 774, [ p17( X, Y ), p18( X, Y ), p19( X, Y ), ~( p15( X, Y ) ) ]
% 0.45/1.11     )
% 0.45/1.11  , clause( 775, [ p14( X, Y ), ~( p3( Z, X ) ), ~( p3( T, Y ) ), ~( p14( Z, 
% 0.45/1.11    T ) ) ] )
% 0.45/1.11  , clause( 776, [ p19( X, Y ), ~( p6( Z, X ) ), ~( p7( T, Y ) ), ~( p19( Z, 
% 0.45/1.11    T ) ) ] )
% 0.45/1.11  , clause( 777, [ p18( X, Y ), ~( p6( Z, X ) ), ~( p7( T, Y ) ), ~( p18( Z, 
% 0.45/1.11    T ) ) ] )
% 0.45/1.11  , clause( 778, [ p17( X, Y ), ~( p6( Z, X ) ), ~( p7( T, Y ) ), ~( p17( Z, 
% 0.45/1.11    T ) ) ] )
% 0.45/1.11  , clause( 779, [ p16( X, Y ), ~( p6( Z, X ) ), ~( p7( T, Y ) ), ~( p16( Z, 
% 0.45/1.11    T ) ) ] )
% 0.45/1.11  , clause( 780, [ p15( X, Y ), ~( p6( Z, X ) ), ~( p7( T, Y ) ), ~( p15( Z, 
% 0.45/1.11    T ) ) ] )
% 0.45/1.11  , clause( 781, [ p3( f10( c22, f12( f13( f8( f5( c20 ), f9( c23, c24 ) ) )
% 0.45/1.11     ) ), f4( c21 ) ) ] )
% 0.45/1.11  , clause( 782, [ p7( f8( X, Y ), f8( Z, T ) ), ~( p2( X, Z ) ), ~( p6( Y, T
% 0.45/1.11     ) ) ] )
% 0.45/1.11  , clause( 783, [ p3( f10( X, Y ), f10( Z, T ) ), ~( p6( X, Z ) ), ~( p7( Y
% 0.45/1.11    , T ) ) ] )
% 0.45/1.11  , clause( 784, [ p6( f9( X, Y ), f9( Z, T ) ), ~( p2( Y, T ) ), ~( p2( X, Z
% 0.45/1.11     ) ) ] )
% 0.45/1.11  ] ).
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  subsumption(
% 0.45/1.11  clause( 1, [ p7( X, X ) ] )
% 0.45/1.11  , clause( 751, [ p7( X, X ) ] )
% 0.45/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  subsumption(
% 0.45/1.11  clause( 2, [ p6( X, X ) ] )
% 0.45/1.11  , clause( 752, [ p6( X, X ) ] )
% 0.45/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  subsumption(
% 0.45/1.11  clause( 7, [ p16( X, Y ), ~( p15( X, Y ) ) ] )
% 0.45/1.11  , clause( 757, [ p16( X, Y ), ~( p15( X, Y ) ) ] )
% 0.45/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.45/1.11     ), ==>( 1, 1 )] ) ).
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  subsumption(
% 0.45/1.11  clause( 8, [ p15( c22, f8( f5( c20 ), f9( c23, c24 ) ) ) ] )
% 0.45/1.11  , clause( 758, [ p15( c22, f8( f5( c20 ), f9( c23, c24 ) ) ) ] )
% 0.45/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  subsumption(
% 0.45/1.11  clause( 14, [ p7( f12( f13( X ) ), X ), ~( p16( c22, X ) ) ] )
% 0.45/1.11  , clause( 764, [ p7( f12( f13( X ) ), X ), ~( p16( c22, X ) ) ] )
% 0.45/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.45/1.11    1 )] ) ).
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  subsumption(
% 0.45/1.11  clause( 16, [ ~( p7( Z, X ) ), p7( X, Y ), ~( p7( Z, Y ) ) ] )
% 0.45/1.11  , clause( 766, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 0.45/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.45/1.11    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  subsumption(
% 0.45/1.11  clause( 23, [ ~( p15( c22, f12( f13( f8( f5( c20 ), f9( c23, c24 ) ) ) ) )
% 0.45/1.11     ) ] )
% 0.45/1.11  , clause( 773, [ ~( p15( c22, f12( f13( f8( f5( c20 ), f9( c23, c24 ) ) ) )
% 0.45/1.11     ) ) ] )
% 0.45/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  subsumption(
% 0.45/1.11  clause( 30, [ ~( p6( Z, X ) ), p15( X, Y ), ~( p15( Z, T ) ), ~( p7( T, Y )
% 0.45/1.11     ) ] )
% 0.45/1.11  , clause( 780, [ p15( X, Y ), ~( p6( Z, X ) ), ~( p7( T, Y ) ), ~( p15( Z, 
% 0.45/1.11    T ) ) ] )
% 0.45/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.45/1.11    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 3 ), ==>( 3, 2 )] )
% 0.45/1.11     ).
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  resolution(
% 0.45/1.11  clause( 798, [ p16( c22, f8( f5( c20 ), f9( c23, c24 ) ) ) ] )
% 0.45/1.11  , clause( 7, [ p16( X, Y ), ~( p15( X, Y ) ) ] )
% 0.45/1.11  , 1, clause( 8, [ p15( c22, f8( f5( c20 ), f9( c23, c24 ) ) ) ] )
% 0.45/1.11  , 0, substitution( 0, [ :=( X, c22 ), :=( Y, f8( f5( c20 ), f9( c23, c24 )
% 0.45/1.11     ) )] ), substitution( 1, [] )).
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  subsumption(
% 0.45/1.11  clause( 37, [ p16( c22, f8( f5( c20 ), f9( c23, c24 ) ) ) ] )
% 0.45/1.11  , clause( 798, [ p16( c22, f8( f5( c20 ), f9( c23, c24 ) ) ) ] )
% 0.45/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  resolution(
% 0.45/1.11  clause( 799, [ p7( f12( f13( f8( f5( c20 ), f9( c23, c24 ) ) ) ), f8( f5( 
% 0.45/1.11    c20 ), f9( c23, c24 ) ) ) ] )
% 0.45/1.11  , clause( 14, [ p7( f12( f13( X ) ), X ), ~( p16( c22, X ) ) ] )
% 0.45/1.11  , 1, clause( 37, [ p16( c22, f8( f5( c20 ), f9( c23, c24 ) ) ) ] )
% 0.45/1.11  , 0, substitution( 0, [ :=( X, f8( f5( c20 ), f9( c23, c24 ) ) )] ), 
% 0.45/1.11    substitution( 1, [] )).
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  subsumption(
% 0.45/1.11  clause( 40, [ p7( f12( f13( f8( f5( c20 ), f9( c23, c24 ) ) ) ), f8( f5( 
% 0.45/1.11    c20 ), f9( c23, c24 ) ) ) ] )
% 0.45/1.11  , clause( 799, [ p7( f12( f13( f8( f5( c20 ), f9( c23, c24 ) ) ) ), f8( f5( 
% 0.45/1.11    c20 ), f9( c23, c24 ) ) ) ] )
% 0.45/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  resolution(
% 0.45/1.11  clause( 801, [ ~( p7( X, Y ) ), p7( Y, X ) ] )
% 0.45/1.11  , clause( 16, [ ~( p7( Z, X ) ), p7( X, Y ), ~( p7( Z, Y ) ) ] )
% 0.45/1.11  , 2, clause( 1, [ p7( X, X ) ] )
% 0.45/1.11  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ), 
% 0.45/1.11    substitution( 1, [ :=( X, X )] )).
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  subsumption(
% 0.45/1.11  clause( 50, [ p7( Y, X ), ~( p7( X, Y ) ) ] )
% 0.45/1.11  , clause( 801, [ ~( p7( X, Y ) ), p7( Y, X ) ] )
% 0.45/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.45/1.11     ), ==>( 1, 0 )] ) ).
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  resolution(
% 0.45/1.11  clause( 802, [ p7( f8( f5( c20 ), f9( c23, c24 ) ), f12( f13( f8( f5( c20 )
% 0.45/1.11    , f9( c23, c24 ) ) ) ) ) ] )
% 0.45/1.11  , clause( 50, [ p7( Y, X ), ~( p7( X, Y ) ) ] )
% 0.45/1.11  , 1, clause( 40, [ p7( f12( f13( f8( f5( c20 ), f9( c23, c24 ) ) ) ), f8( 
% 0.45/1.11    f5( c20 ), f9( c23, c24 ) ) ) ] )
% 0.45/1.11  , 0, substitution( 0, [ :=( X, f12( f13( f8( f5( c20 ), f9( c23, c24 ) ) )
% 0.45/1.11     ) ), :=( Y, f8( f5( c20 ), f9( c23, c24 ) ) )] ), substitution( 1, [] )
% 0.45/1.11    ).
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  subsumption(
% 0.45/1.11  clause( 169, [ p7( f8( f5( c20 ), f9( c23, c24 ) ), f12( f13( f8( f5( c20 )
% 0.45/1.11    , f9( c23, c24 ) ) ) ) ) ] )
% 0.45/1.11  , clause( 802, [ p7( f8( f5( c20 ), f9( c23, c24 ) ), f12( f13( f8( f5( c20
% 0.45/1.11     ), f9( c23, c24 ) ) ) ) ) ] )
% 0.45/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  resolution(
% 0.45/1.11  clause( 803, [ ~( p6( X, Y ) ), p15( Y, f12( f13( f8( f5( c20 ), f9( c23, 
% 0.45/1.11    c24 ) ) ) ) ), ~( p15( X, f8( f5( c20 ), f9( c23, c24 ) ) ) ) ] )
% 0.45/1.11  , clause( 30, [ ~( p6( Z, X ) ), p15( X, Y ), ~( p15( Z, T ) ), ~( p7( T, Y
% 0.45/1.11     ) ) ] )
% 0.45/1.11  , 3, clause( 169, [ p7( f8( f5( c20 ), f9( c23, c24 ) ), f12( f13( f8( f5( 
% 0.45/1.11    c20 ), f9( c23, c24 ) ) ) ) ) ] )
% 0.45/1.11  , 0, substitution( 0, [ :=( X, Y ), :=( Y, f12( f13( f8( f5( c20 ), f9( c23
% 0.45/1.11    , c24 ) ) ) ) ), :=( Z, X ), :=( T, f8( f5( c20 ), f9( c23, c24 ) ) )] )
% 0.45/1.11    , substitution( 1, [] )).
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  subsumption(
% 0.45/1.11  clause( 187, [ ~( p15( X, f8( f5( c20 ), f9( c23, c24 ) ) ) ), p15( Y, f12( 
% 0.45/1.11    f13( f8( f5( c20 ), f9( c23, c24 ) ) ) ) ), ~( p6( X, Y ) ) ] )
% 0.45/1.11  , clause( 803, [ ~( p6( X, Y ) ), p15( Y, f12( f13( f8( f5( c20 ), f9( c23
% 0.45/1.11    , c24 ) ) ) ) ), ~( p15( X, f8( f5( c20 ), f9( c23, c24 ) ) ) ) ] )
% 0.45/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.45/1.11     ), ==>( 1, 1 ), ==>( 2, 0 )] ) ).
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  resolution(
% 0.45/1.11  clause( 804, [ ~( p15( X, f8( f5( c20 ), f9( c23, c24 ) ) ) ), p15( X, f12( 
% 0.45/1.11    f13( f8( f5( c20 ), f9( c23, c24 ) ) ) ) ) ] )
% 0.45/1.11  , clause( 187, [ ~( p15( X, f8( f5( c20 ), f9( c23, c24 ) ) ) ), p15( Y, 
% 0.45/1.11    f12( f13( f8( f5( c20 ), f9( c23, c24 ) ) ) ) ), ~( p6( X, Y ) ) ] )
% 0.45/1.11  , 2, clause( 2, [ p6( X, X ) ] )
% 0.45/1.11  , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.45/1.11    , X )] )).
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  subsumption(
% 0.45/1.11  clause( 747, [ p15( X, f12( f13( f8( f5( c20 ), f9( c23, c24 ) ) ) ) ), ~( 
% 0.45/1.11    p15( X, f8( f5( c20 ), f9( c23, c24 ) ) ) ) ] )
% 0.45/1.11  , clause( 804, [ ~( p15( X, f8( f5( c20 ), f9( c23, c24 ) ) ) ), p15( X, 
% 0.45/1.11    f12( f13( f8( f5( c20 ), f9( c23, c24 ) ) ) ) ) ] )
% 0.45/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.45/1.11    0 )] ) ).
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  resolution(
% 0.45/1.11  clause( 805, [ p15( c22, f12( f13( f8( f5( c20 ), f9( c23, c24 ) ) ) ) ) ]
% 0.45/1.11     )
% 0.45/1.11  , clause( 747, [ p15( X, f12( f13( f8( f5( c20 ), f9( c23, c24 ) ) ) ) ), 
% 0.45/1.11    ~( p15( X, f8( f5( c20 ), f9( c23, c24 ) ) ) ) ] )
% 0.45/1.11  , 1, clause( 8, [ p15( c22, f8( f5( c20 ), f9( c23, c24 ) ) ) ] )
% 0.45/1.11  , 0, substitution( 0, [ :=( X, c22 )] ), substitution( 1, [] )).
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  resolution(
% 0.45/1.11  clause( 806, [] )
% 0.45/1.11  , clause( 23, [ ~( p15( c22, f12( f13( f8( f5( c20 ), f9( c23, c24 ) ) ) )
% 0.45/1.11     ) ) ] )
% 0.45/1.11  , 0, clause( 805, [ p15( c22, f12( f13( f8( f5( c20 ), f9( c23, c24 ) ) ) )
% 0.45/1.11     ) ] )
% 0.45/1.11  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  subsumption(
% 0.45/1.11  clause( 748, [] )
% 0.45/1.11  , clause( 806, [] )
% 0.45/1.11  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  end.
% 0.45/1.11  
% 0.45/1.11  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.45/1.11  
% 0.45/1.11  Memory use:
% 0.45/1.11  
% 0.45/1.11  space for terms:        18113
% 0.45/1.11  space for clauses:      56523
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  clauses generated:      1489
% 0.45/1.11  clauses kept:           749
% 0.45/1.11  clauses selected:       311
% 0.45/1.11  clauses deleted:        1
% 0.45/1.11  clauses inuse deleted:  0
% 0.45/1.11  
% 0.45/1.11  subsentry:          2867
% 0.45/1.11  literals s-matched: 2642
% 0.45/1.11  literals matched:   2642
% 0.45/1.11  full subsumption:   0
% 0.45/1.11  
% 0.45/1.11  checksum:           1040489187
% 0.45/1.11  
% 0.45/1.11  
% 0.45/1.11  Bliksem ended
%------------------------------------------------------------------------------