TSTP Solution File: SYN587-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN587-1 : 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 02:53:10 EDT 2022

% Result   : Unsatisfiable 0.43s 1.08s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN587-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.14/0.34  % Computer : n009.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % DateTime : Mon Jul 11 18:23:22 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.43/1.08  *** allocated 10000 integers for termspace/termends
% 0.43/1.08  *** allocated 10000 integers for clauses
% 0.43/1.08  *** allocated 10000 integers for justifications
% 0.43/1.08  Bliksem 1.12
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  Automatic Strategy Selection
% 0.43/1.08  
% 0.43/1.08  Clauses:
% 0.43/1.08  [
% 0.43/1.08     [ p12( X, X ) ],
% 0.43/1.08     [ p5( X, X ) ],
% 0.43/1.08     [ p3( X, X ) ],
% 0.43/1.08     [ p2( X, X ) ],
% 0.43/1.08     [ p3( c21, c19 ) ],
% 0.43/1.08     [ ~( p12( f13( c20 ), f13( c18 ) ) ) ],
% 0.43/1.08     [ p12( f13( X ), f13( Y ) ), ~( p2( X, Y ) ) ],
% 0.43/1.08     [ p5( f7( X ), f7( Y ) ), ~( p3( X, Y ) ) ],
% 0.43/1.08     [ p5( f10( X ), f10( Y ) ), ~( p5( X, Y ) ) ],
% 0.43/1.08     [ p3( f9( X ), f9( Y ) ), ~( p3( X, Y ) ) ],
% 0.43/1.08     [ p3( f8( X ), f8( Y ) ), ~( p3( X, Y ) ) ],
% 0.43/1.08     [ p3( f11( X ), f11( Y ) ), ~( p3( X, Y ) ) ],
% 0.43/1.08     [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ],
% 0.43/1.08     [ p5( X, Y ), ~( p5( Z, X ) ), ~( p5( Z, Y ) ) ],
% 0.43/1.08     [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ],
% 0.43/1.08     [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.43/1.08     [ p15( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p15( Z, T ) ) ],
% 0.43/1.08     [ p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18 ) ), c19 ), 
% 0.43/1.08    c20 ) ],
% 0.43/1.08     [ ~( p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18 ) ), c21 )
% 0.43/1.08    , c20 ) ) ],
% 0.43/1.08     [ p2( f4( X, Y ), f4( Z, T ) ), ~( p2( X, Z ) ), ~( p3( Y, T ) ) ],
% 0.43/1.08     [ p3( f14( X, Y ), f14( Z, T ) ), ~( p2( X, Z ) ), ~( p5( Y, T ) ) ]
% 0.43/1.08    ,
% 0.43/1.08     [ p2( f6( X, Y ), f6( Z, T ) ), ~( p2( Y, T ) ), ~( p5( X, Z ) ) ],
% 0.43/1.08     [ ~( p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18 ) ), f11( 
% 0.43/1.08    c19 ) ), c20 ) ) ],
% 0.43/1.08     [ p12( f13( X ), f13( c18 ) ), p15( f4( f6( f10( Y ), f6( f7( f8( f9( 
% 0.43/1.08    c17 ) ) ), c18 ) ), f14( X, Y ) ), X ) ],
% 0.43/1.08     [ p12( f13( X ), f13( c18 ) ), ~( p15( f4( f6( f10( Y ), f6( f7( f8( f9( 
% 0.43/1.08    c17 ) ) ), c18 ) ), f11( f14( X, Y ) ) ), X ) ) ],
% 0.43/1.08     [ p3( X, Y ), p12( f13( Z ), f13( c18 ) ), p15( f4( f6( f10( T ), f6( f7( 
% 0.43/1.08    f8( f9( c17 ) ) ), c18 ) ), f11( Y ) ), Z ), p15( f4( f6( f10( T ), f6( 
% 0.43/1.08    f7( f8( f9( c17 ) ) ), c18 ) ), f11( X ) ), Z ), ~( p15( f4( f6( f10( T )
% 0.43/1.08    , f6( f7( f8( f9( c17 ) ) ), c18 ) ), X ), Z ) ), ~( p15( f4( f6( f10( T
% 0.43/1.08     ), f6( f7( f8( f9( c17 ) ) ), c18 ) ), Y ), Z ) ) ]
% 0.43/1.08  ] .
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  percentage equality = 0.000000, percentage horn = 0.923077
% 0.43/1.08  This is a near-Horn, non-equality  problem
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  Options Used:
% 0.43/1.08  
% 0.43/1.08  useres =            1
% 0.43/1.08  useparamod =        0
% 0.43/1.08  useeqrefl =         0
% 0.43/1.08  useeqfact =         0
% 0.43/1.08  usefactor =         1
% 0.43/1.08  usesimpsplitting =  0
% 0.43/1.08  usesimpdemod =      0
% 0.43/1.08  usesimpres =        4
% 0.43/1.08  
% 0.43/1.08  resimpinuse      =  1000
% 0.43/1.08  resimpclauses =     20000
% 0.43/1.08  substype =          standard
% 0.43/1.08  backwardsubs =      1
% 0.43/1.08  selectoldest =      5
% 0.43/1.08  
% 0.43/1.08  litorderings [0] =  split
% 0.43/1.08  litorderings [1] =  liftord
% 0.43/1.08  
% 0.43/1.08  termordering =      none
% 0.43/1.08  
% 0.43/1.08  litapriori =        1
% 0.43/1.08  termapriori =       0
% 0.43/1.08  litaposteriori =    0
% 0.43/1.08  termaposteriori =   0
% 0.43/1.08  demodaposteriori =  0
% 0.43/1.08  ordereqreflfact =   0
% 0.43/1.08  
% 0.43/1.08  litselect =         negative
% 0.43/1.08  
% 0.43/1.08  maxweight =         30000
% 0.43/1.08  maxdepth =          30000
% 0.43/1.08  maxlength =         115
% 0.43/1.08  maxnrvars =         195
% 0.43/1.08  excuselevel =       0
% 0.43/1.08  increasemaxweight = 0
% 0.43/1.08  
% 0.43/1.08  maxselected =       10000000
% 0.43/1.08  maxnrclauses =      10000000
% 0.43/1.08  
% 0.43/1.08  showgenerated =    0
% 0.43/1.08  showkept =         0
% 0.43/1.08  showselected =     0
% 0.43/1.08  showdeleted =      0
% 0.43/1.08  showresimp =       1
% 0.43/1.08  showstatus =       2000
% 0.43/1.08  
% 0.43/1.08  prologoutput =     1
% 0.43/1.08  nrgoals =          5000000
% 0.43/1.08  totalproof =       1
% 0.43/1.08  
% 0.43/1.08  Symbols occurring in the translation:
% 0.43/1.08  
% 0.43/1.08  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.43/1.08  .  [1, 2]      (w:1, o:70, a:1, s:1, b:0), 
% 0.43/1.08  !  [4, 1]      (w:1, o:59, a:1, s:1, b:0), 
% 0.43/1.08  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/1.08  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/1.08  p12  [40, 2]      (w:1, o:95, a:1, s:1, b:0), 
% 0.43/1.08  p5  [42, 2]      (w:1, o:96, a:1, s:1, b:0), 
% 0.43/1.08  p3  [44, 2]      (w:1, o:99, a:1, s:1, b:0), 
% 0.43/1.08  p2  [46, 2]      (w:1, o:98, a:1, s:1, b:0), 
% 0.43/1.08  c21  [47, 0]      (w:1, o:39, a:1, s:1, b:0), 
% 0.43/1.08  c19  [48, 0]      (w:1, o:36, a:1, s:1, b:0), 
% 0.43/1.08  c20  [49, 0]      (w:1, o:38, a:1, s:1, b:0), 
% 0.43/1.08  f13  [50, 1]      (w:1, o:64, a:1, s:1, b:0), 
% 0.43/1.08  c18  [51, 0]      (w:1, o:35, a:1, s:1, b:0), 
% 0.43/1.08  f7  [55, 1]      (w:1, o:65, a:1, s:1, b:0), 
% 0.43/1.08  f10  [58, 1]      (w:1, o:66, a:1, s:1, b:0), 
% 0.43/1.08  f9  [61, 1]      (w:1, o:68, a:1, s:1, b:0), 
% 0.43/1.08  f8  [64, 1]      (w:1, o:67, a:1, s:1, b:0), 
% 0.43/1.08  f11  [67, 1]      (w:1, o:69, a:1, s:1, b:0), 
% 0.43/1.08  p15  [79, 2]      (w:1, o:97, a:1, s:1, b:0), 
% 0.43/1.08  c16  [82, 0]      (w:1, o:37, a:1, s:1, b:0), 
% 0.43/1.08  c17  [83, 0]      (w:1, o:34, a:1, s:1, b:0), 
% 0.43/1.08  f6  [84, 2]      (w:1, o:100, a:1, s:1, b:0), 
% 0.43/1.08  f4  [85, 2]      (w:1, o:101, a:1, s:1, b:0), 
% 0.43/1.08  f14  [92, 2]      (w:1, o:102, a:1, s:1, b:0).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  Starting Search:
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  Bliksems!, er is een bewijs:
% 0.43/1.08  % SZS status Unsatisfiable
% 0.43/1.08  % SZS output start Refutation
% 0.43/1.08  
% 0.43/1.08  clause( 2, [ p3( X, X ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 3, [ p2( X, X ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 4, [ p3( c21, c19 ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 14, [ ~( p3( Z, X ) ), p3( X, Y ), ~( p3( Z, Y ) ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 16, [ p15( X, Y ), ~( p15( Z, T ) ), ~( p2( Z, X ) ), ~( p2( T, Y )
% 0.43/1.08     ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 17, [ p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18 ) ), 
% 0.43/1.08    c19 ), c20 ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 18, [ ~( p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18 )
% 0.43/1.08     ), c21 ), c20 ) ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 19, [ p2( f4( X, Y ), f4( Z, T ) ), ~( p2( X, Z ) ), ~( p3( Y, T )
% 0.43/1.08     ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 109, [ p3( Y, X ), ~( p3( X, Y ) ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 121, [ p3( c19, c21 ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 128, [ p15( X, Y ), ~( p15( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 196, [ p2( f4( X, c19 ), f4( Y, c21 ) ), ~( p2( X, Y ) ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 662, [ p2( f4( X, c19 ), f4( X, c21 ) ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 667, [ p15( f4( X, c21 ), Y ), ~( p15( f4( X, c19 ), Y ) ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 684, [] )
% 0.43/1.08  .
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  % SZS output end Refutation
% 0.43/1.08  found a proof!
% 0.43/1.08  
% 0.43/1.08  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.08  
% 0.43/1.08  initialclauses(
% 0.43/1.08  [ clause( 686, [ p12( X, X ) ] )
% 0.43/1.08  , clause( 687, [ p5( X, X ) ] )
% 0.43/1.08  , clause( 688, [ p3( X, X ) ] )
% 0.43/1.08  , clause( 689, [ p2( X, X ) ] )
% 0.43/1.08  , clause( 690, [ p3( c21, c19 ) ] )
% 0.43/1.08  , clause( 691, [ ~( p12( f13( c20 ), f13( c18 ) ) ) ] )
% 0.43/1.08  , clause( 692, [ p12( f13( X ), f13( Y ) ), ~( p2( X, Y ) ) ] )
% 0.43/1.08  , clause( 693, [ p5( f7( X ), f7( Y ) ), ~( p3( X, Y ) ) ] )
% 0.43/1.08  , clause( 694, [ p5( f10( X ), f10( Y ) ), ~( p5( X, Y ) ) ] )
% 0.43/1.08  , clause( 695, [ p3( f9( X ), f9( Y ) ), ~( p3( X, Y ) ) ] )
% 0.43/1.08  , clause( 696, [ p3( f8( X ), f8( Y ) ), ~( p3( X, Y ) ) ] )
% 0.43/1.08  , clause( 697, [ p3( f11( X ), f11( Y ) ), ~( p3( X, Y ) ) ] )
% 0.43/1.08  , clause( 698, [ p12( X, Y ), ~( p12( Z, X ) ), ~( p12( Z, Y ) ) ] )
% 0.43/1.08  , clause( 699, [ p5( X, Y ), ~( p5( Z, X ) ), ~( p5( Z, Y ) ) ] )
% 0.43/1.08  , clause( 700, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 0.43/1.08  , clause( 701, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.43/1.08  , clause( 702, [ p15( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p15( Z, 
% 0.43/1.08    T ) ) ] )
% 0.43/1.08  , clause( 703, [ p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18 )
% 0.43/1.08     ), c19 ), c20 ) ] )
% 0.43/1.08  , clause( 704, [ ~( p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18
% 0.43/1.08     ) ), c21 ), c20 ) ) ] )
% 0.43/1.08  , clause( 705, [ p2( f4( X, Y ), f4( Z, T ) ), ~( p2( X, Z ) ), ~( p3( Y, T
% 0.43/1.08     ) ) ] )
% 0.43/1.08  , clause( 706, [ p3( f14( X, Y ), f14( Z, T ) ), ~( p2( X, Z ) ), ~( p5( Y
% 0.43/1.08    , T ) ) ] )
% 0.43/1.08  , clause( 707, [ p2( f6( X, Y ), f6( Z, T ) ), ~( p2( Y, T ) ), ~( p5( X, Z
% 0.43/1.08     ) ) ] )
% 0.43/1.08  , clause( 708, [ ~( p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18
% 0.43/1.08     ) ), f11( c19 ) ), c20 ) ) ] )
% 0.43/1.08  , clause( 709, [ p12( f13( X ), f13( c18 ) ), p15( f4( f6( f10( Y ), f6( f7( 
% 0.43/1.08    f8( f9( c17 ) ) ), c18 ) ), f14( X, Y ) ), X ) ] )
% 0.43/1.08  , clause( 710, [ p12( f13( X ), f13( c18 ) ), ~( p15( f4( f6( f10( Y ), f6( 
% 0.43/1.08    f7( f8( f9( c17 ) ) ), c18 ) ), f11( f14( X, Y ) ) ), X ) ) ] )
% 0.43/1.08  , clause( 711, [ p3( X, Y ), p12( f13( Z ), f13( c18 ) ), p15( f4( f6( f10( 
% 0.43/1.08    T ), f6( f7( f8( f9( c17 ) ) ), c18 ) ), f11( Y ) ), Z ), p15( f4( f6( 
% 0.43/1.08    f10( T ), f6( f7( f8( f9( c17 ) ) ), c18 ) ), f11( X ) ), Z ), ~( p15( f4( 
% 0.43/1.08    f6( f10( T ), f6( f7( f8( f9( c17 ) ) ), c18 ) ), X ), Z ) ), ~( p15( f4( 
% 0.43/1.08    f6( f10( T ), f6( f7( f8( f9( c17 ) ) ), c18 ) ), Y ), Z ) ) ] )
% 0.43/1.08  ] ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 2, [ p3( X, X ) ] )
% 0.43/1.08  , clause( 688, [ p3( X, X ) ] )
% 0.43/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 3, [ p2( X, X ) ] )
% 0.43/1.08  , clause( 689, [ p2( X, X ) ] )
% 0.43/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 4, [ p3( c21, c19 ) ] )
% 0.43/1.08  , clause( 690, [ p3( c21, c19 ) ] )
% 0.43/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 14, [ ~( p3( Z, X ) ), p3( X, Y ), ~( p3( Z, Y ) ) ] )
% 0.43/1.08  , clause( 700, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 0.43/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.43/1.08    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 16, [ p15( X, Y ), ~( p15( Z, T ) ), ~( p2( Z, X ) ), ~( p2( T, Y )
% 0.43/1.08     ) ] )
% 0.43/1.08  , clause( 702, [ p15( X, Y ), ~( p2( Z, X ) ), ~( p2( T, Y ) ), ~( p15( Z, 
% 0.43/1.08    T ) ) ] )
% 0.43/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.43/1.08    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 3 ), ==>( 3, 1 )] )
% 0.43/1.08     ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 17, [ p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18 ) ), 
% 0.43/1.08    c19 ), c20 ) ] )
% 0.43/1.08  , clause( 703, [ p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18 )
% 0.43/1.08     ), c19 ), c20 ) ] )
% 0.43/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 18, [ ~( p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18 )
% 0.43/1.08     ), c21 ), c20 ) ) ] )
% 0.43/1.08  , clause( 704, [ ~( p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18
% 0.43/1.08     ) ), c21 ), c20 ) ) ] )
% 0.43/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 19, [ p2( f4( X, Y ), f4( Z, T ) ), ~( p2( X, Z ) ), ~( p3( Y, T )
% 0.43/1.08     ) ] )
% 0.43/1.08  , clause( 705, [ p2( f4( X, Y ), f4( Z, T ) ), ~( p2( X, Z ) ), ~( p3( Y, T
% 0.43/1.08     ) ) ] )
% 0.43/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.43/1.08    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  resolution(
% 0.43/1.08  clause( 736, [ ~( p3( X, Y ) ), p3( Y, X ) ] )
% 0.43/1.08  , clause( 14, [ ~( p3( Z, X ) ), p3( X, Y ), ~( p3( Z, Y ) ) ] )
% 0.43/1.08  , 2, clause( 2, [ p3( X, X ) ] )
% 0.43/1.08  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ), 
% 0.43/1.08    substitution( 1, [ :=( X, X )] )).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 109, [ p3( Y, X ), ~( p3( X, Y ) ) ] )
% 0.43/1.08  , clause( 736, [ ~( p3( X, Y ) ), p3( Y, X ) ] )
% 0.43/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.43/1.08     ), ==>( 1, 0 )] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  resolution(
% 0.43/1.08  clause( 737, [ p3( c19, c21 ) ] )
% 0.43/1.08  , clause( 109, [ p3( Y, X ), ~( p3( X, Y ) ) ] )
% 0.43/1.08  , 1, clause( 4, [ p3( c21, c19 ) ] )
% 0.43/1.08  , 0, substitution( 0, [ :=( X, c21 ), :=( Y, c19 )] ), substitution( 1, [] )
% 0.43/1.08    ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 121, [ p3( c19, c21 ) ] )
% 0.43/1.08  , clause( 737, [ p3( c19, c21 ) ] )
% 0.43/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  resolution(
% 0.43/1.08  clause( 739, [ p15( X, Y ), ~( p15( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.43/1.08  , clause( 16, [ p15( X, Y ), ~( p15( Z, T ) ), ~( p2( Z, X ) ), ~( p2( T, Y
% 0.43/1.08     ) ) ] )
% 0.43/1.08  , 3, clause( 3, [ p2( X, X ) ] )
% 0.43/1.08  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y )] ), 
% 0.43/1.08    substitution( 1, [ :=( X, Y )] )).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 128, [ p15( X, Y ), ~( p15( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.43/1.08  , clause( 739, [ p15( X, Y ), ~( p15( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.43/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.43/1.08    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  resolution(
% 0.43/1.08  clause( 740, [ p2( f4( X, c19 ), f4( Y, c21 ) ), ~( p2( X, Y ) ) ] )
% 0.43/1.08  , clause( 19, [ p2( f4( X, Y ), f4( Z, T ) ), ~( p2( X, Z ) ), ~( p3( Y, T
% 0.43/1.08     ) ) ] )
% 0.43/1.08  , 2, clause( 121, [ p3( c19, c21 ) ] )
% 0.43/1.08  , 0, substitution( 0, [ :=( X, X ), :=( Y, c19 ), :=( Z, Y ), :=( T, c21 )] )
% 0.43/1.08    , substitution( 1, [] )).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 196, [ p2( f4( X, c19 ), f4( Y, c21 ) ), ~( p2( X, Y ) ) ] )
% 0.43/1.08  , clause( 740, [ p2( f4( X, c19 ), f4( Y, c21 ) ), ~( p2( X, Y ) ) ] )
% 0.43/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.08     ), ==>( 1, 1 )] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  resolution(
% 0.43/1.08  clause( 741, [ p2( f4( X, c19 ), f4( X, c21 ) ) ] )
% 0.43/1.08  , clause( 196, [ p2( f4( X, c19 ), f4( Y, c21 ) ), ~( p2( X, Y ) ) ] )
% 0.43/1.08  , 1, clause( 3, [ p2( X, X ) ] )
% 0.43/1.08  , 0, substitution( 0, [ :=( X, X ), :=( Y, X )] ), substitution( 1, [ :=( X
% 0.43/1.08    , X )] )).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 662, [ p2( f4( X, c19 ), f4( X, c21 ) ) ] )
% 0.43/1.08  , clause( 741, [ p2( f4( X, c19 ), f4( X, c21 ) ) ] )
% 0.43/1.08  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  resolution(
% 0.43/1.08  clause( 742, [ p15( f4( X, c21 ), Y ), ~( p15( f4( X, c19 ), Y ) ) ] )
% 0.43/1.08  , clause( 128, [ p15( X, Y ), ~( p15( Z, Y ) ), ~( p2( Z, X ) ) ] )
% 0.43/1.08  , 2, clause( 662, [ p2( f4( X, c19 ), f4( X, c21 ) ) ] )
% 0.43/1.08  , 0, substitution( 0, [ :=( X, f4( X, c21 ) ), :=( Y, Y ), :=( Z, f4( X, 
% 0.43/1.08    c19 ) )] ), substitution( 1, [ :=( X, X )] )).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 667, [ p15( f4( X, c21 ), Y ), ~( p15( f4( X, c19 ), Y ) ) ] )
% 0.43/1.08  , clause( 742, [ p15( f4( X, c21 ), Y ), ~( p15( f4( X, c19 ), Y ) ) ] )
% 0.43/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.08     ), ==>( 1, 1 )] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  resolution(
% 0.43/1.08  clause( 743, [ p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18 ) )
% 0.43/1.08    , c21 ), c20 ) ] )
% 0.43/1.08  , clause( 667, [ p15( f4( X, c21 ), Y ), ~( p15( f4( X, c19 ), Y ) ) ] )
% 0.43/1.08  , 1, clause( 17, [ p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18
% 0.43/1.08     ) ), c19 ), c20 ) ] )
% 0.43/1.08  , 0, substitution( 0, [ :=( X, f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), 
% 0.43/1.08    c18 ) ) ), :=( Y, c20 )] ), substitution( 1, [] )).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  resolution(
% 0.43/1.08  clause( 744, [] )
% 0.43/1.08  , clause( 18, [ ~( p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18
% 0.43/1.08     ) ), c21 ), c20 ) ) ] )
% 0.43/1.08  , 0, clause( 743, [ p15( f4( f6( f10( c16 ), f6( f7( f8( f9( c17 ) ) ), c18
% 0.43/1.08     ) ), c21 ), c20 ) ] )
% 0.43/1.08  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 684, [] )
% 0.43/1.08  , clause( 744, [] )
% 0.43/1.08  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  end.
% 0.43/1.08  
% 0.43/1.08  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.08  
% 0.43/1.08  Memory use:
% 0.43/1.08  
% 0.43/1.08  space for terms:        9051
% 0.43/1.08  space for clauses:      57021
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  clauses generated:      851
% 0.43/1.08  clauses kept:           685
% 0.43/1.08  clauses selected:       170
% 0.43/1.08  clauses deleted:        0
% 0.43/1.08  clauses inuse deleted:  0
% 0.43/1.08  
% 0.43/1.08  subsentry:          693
% 0.43/1.08  literals s-matched: 414
% 0.43/1.08  literals matched:   414
% 0.43/1.08  full subsumption:   0
% 0.43/1.08  
% 0.43/1.08  checksum:           -813943555
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  Bliksem ended
%------------------------------------------------------------------------------