TSTP Solution File: SYN580-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN580-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n020.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 02:53:07 EDT 2022

% Result   : Unsatisfiable 0.71s 1.11s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN580-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % Command  : bliksem %s
% 0.14/0.34  % Computer : n020.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 : Tue Jul 12 05:44:12 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.71/1.11  *** allocated 10000 integers for termspace/termends
% 0.71/1.11  *** allocated 10000 integers for clauses
% 0.71/1.11  *** allocated 10000 integers for justifications
% 0.71/1.11  Bliksem 1.12
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Automatic Strategy Selection
% 0.71/1.11  
% 0.71/1.11  Clauses:
% 0.71/1.11  [
% 0.71/1.11     [ p10( X, X ) ],
% 0.71/1.11     [ p7( X, X ) ],
% 0.71/1.11     [ p4( X, X ) ],
% 0.71/1.11     [ p2( X, X ) ],
% 0.71/1.11     [ p11( c15, c16 ) ],
% 0.71/1.11     [ p9( c12, c13 ) ],
% 0.71/1.11     [ p2( c14, f3( c15 ) ) ],
% 0.71/1.11     [ ~( p8( c12, c13, c14 ) ) ],
% 0.71/1.11     [ p4( f6( X ), f6( Y ) ), ~( p2( X, Y ) ) ],
% 0.71/1.11     [ p2( f3( X ), f3( Y ) ), ~( p2( X, Y ) ) ],
% 0.71/1.11     [ p4( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ],
% 0.71/1.11     [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ],
% 0.71/1.11     [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ],
% 0.71/1.11     [ p4( X, Y ), ~( p4( Z, X ) ), ~( p4( Z, Y ) ) ],
% 0.71/1.11     [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.71/1.11     [ p8( c12, X, Y ), ~( p11( Y, c16 ) ), ~( p9( c12, X ) ) ],
% 0.71/1.11     [ p9( c12, f5( X ) ), p8( c12, Y, X ), ~( p9( c12, Y ) ) ],
% 0.71/1.11     [ p9( c12, f6( X ) ), p8( c12, Y, f3( X ) ), ~( p9( c12, Y ) ) ],
% 0.71/1.11     [ p9( X, Y ), ~( p7( Z, X ) ), ~( p9( Z, T ) ), ~( p4( T, Y ) ) ],
% 0.71/1.11     [ p11( X, Y ), ~( p11( Z, T ) ), ~( p2( Z, X ) ), ~( p10( T, Y ) ) ]
% 0.71/1.11    ,
% 0.71/1.11     [ p8( c12, X, Y ), ~( p9( c12, X ) ), ~( p8( c12, f5( Y ), f3( Y ) ) ) ]
% 0.71/1.11    ,
% 0.71/1.11     [ p8( c12, X, f3( Y ) ), ~( p9( c12, X ) ), ~( p8( c12, f6( Y ), Y ) ) ]
% 0.71/1.11    ,
% 0.71/1.11     [ p8( X, Y, Z ), ~( p2( T, Z ) ), ~( p4( U, Y ) ), ~( p7( W, X ) ), ~( 
% 0.71/1.11    p8( W, U, T ) ) ]
% 0.71/1.11  ] .
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  percentage equality = 0.000000, percentage horn = 0.913043
% 0.71/1.11  This is a near-Horn, non-equality  problem
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Options Used:
% 0.71/1.11  
% 0.71/1.11  useres =            1
% 0.71/1.11  useparamod =        0
% 0.71/1.11  useeqrefl =         0
% 0.71/1.11  useeqfact =         0
% 0.71/1.11  usefactor =         1
% 0.71/1.11  usesimpsplitting =  0
% 0.71/1.11  usesimpdemod =      0
% 0.71/1.11  usesimpres =        4
% 0.71/1.11  
% 0.71/1.11  resimpinuse      =  1000
% 0.71/1.11  resimpclauses =     20000
% 0.71/1.11  substype =          standard
% 0.71/1.11  backwardsubs =      1
% 0.71/1.11  selectoldest =      5
% 0.71/1.11  
% 0.71/1.11  litorderings [0] =  split
% 0.71/1.11  litorderings [1] =  liftord
% 0.71/1.11  
% 0.71/1.11  termordering =      none
% 0.71/1.11  
% 0.71/1.11  litapriori =        1
% 0.71/1.11  termapriori =       0
% 0.71/1.11  litaposteriori =    0
% 0.71/1.11  termaposteriori =   0
% 0.71/1.11  demodaposteriori =  0
% 0.71/1.11  ordereqreflfact =   0
% 0.71/1.11  
% 0.71/1.11  litselect =         negative
% 0.71/1.11  
% 0.71/1.11  maxweight =         30000
% 0.71/1.11  maxdepth =          30000
% 0.71/1.11  maxlength =         115
% 0.71/1.11  maxnrvars =         195
% 0.71/1.11  excuselevel =       0
% 0.71/1.11  increasemaxweight = 0
% 0.71/1.11  
% 0.71/1.11  maxselected =       10000000
% 0.71/1.11  maxnrclauses =      10000000
% 0.71/1.11  
% 0.71/1.11  showgenerated =    0
% 0.71/1.11  showkept =         0
% 0.71/1.11  showselected =     0
% 0.71/1.11  showdeleted =      0
% 0.71/1.11  showresimp =       1
% 0.71/1.11  showstatus =       2000
% 0.71/1.11  
% 0.71/1.11  prologoutput =     1
% 0.71/1.11  nrgoals =          5000000
% 0.71/1.11  totalproof =       1
% 0.71/1.11  
% 0.71/1.11  Symbols occurring in the translation:
% 0.71/1.11  
% 0.71/1.11  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.71/1.11  .  [1, 2]      (w:1, o:58, a:1, s:1, b:0), 
% 0.71/1.11  !  [4, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 0.71/1.11  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.11  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.11  p10  [40, 2]      (w:1, o:83, a:1, s:1, b:0), 
% 0.71/1.11  p7  [42, 2]      (w:1, o:84, a:1, s:1, b:0), 
% 0.71/1.11  p4  [44, 2]      (w:1, o:85, a:1, s:1, b:0), 
% 0.71/1.11  p2  [46, 2]      (w:1, o:87, a:1, s:1, b:0), 
% 0.71/1.11  c15  [47, 0]      (w:1, o:18, a:1, s:1, b:0), 
% 0.71/1.11  c16  [48, 0]      (w:1, o:19, a:1, s:1, b:0), 
% 0.71/1.11  p11  [49, 2]      (w:1, o:86, a:1, s:1, b:0), 
% 0.71/1.11  c12  [50, 0]      (w:1, o:20, a:1, s:1, b:0), 
% 0.71/1.11  c13  [51, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 0.71/1.11  p9  [52, 2]      (w:1, o:88, a:1, s:1, b:0), 
% 0.71/1.11  c14  [53, 0]      (w:1, o:17, a:1, s:1, b:0), 
% 0.71/1.11  f3  [54, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 0.71/1.11  p8  [55, 3]      (w:1, o:89, a:1, s:1, b:0), 
% 0.71/1.11  f6  [57, 1]      (w:1, o:57, a:1, s:1, b:0), 
% 0.71/1.11  f5  [62, 1]      (w:1, o:56, a:1, s:1, b:0).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Starting Search:
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Bliksems!, er is een bewijs:
% 0.71/1.11  % SZS status Unsatisfiable
% 0.71/1.11  % SZS output start Refutation
% 0.71/1.11  
% 0.71/1.11  clause( 1, [ p7( X, X ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 2, [ p4( X, X ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 3, [ p2( X, X ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 4, [ p11( c15, c16 ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 5, [ p9( c12, c13 ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 6, [ p2( c14, f3( c15 ) ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 7, [ ~( p8( c12, c13, c14 ) ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 14, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 15, [ p8( c12, X, Y ), ~( p9( c12, X ) ), ~( p11( Y, c16 ) ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 17, [ p9( c12, f6( X ) ), p8( c12, Y, f3( X ) ), ~( p9( c12, Y ) )
% 0.71/1.11     ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 21, [ p8( c12, X, f3( Y ) ), ~( p8( c12, f6( Y ), Y ) ), ~( p9( c12
% 0.71/1.11    , X ) ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 22, [ ~( p2( T, Z ) ), ~( p4( U, Y ) ), p8( X, Y, Z ), ~( p8( W, U
% 0.71/1.11    , T ) ), ~( p7( W, X ) ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 41, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 60, [ p2( f3( c15 ), c14 ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 61, [ p8( c12, X, c15 ), ~( p9( c12, X ) ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 70, [ p9( c12, f6( X ) ), p8( c12, c13, f3( X ) ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 85, [ p8( c12, c13, f3( X ) ), ~( p8( c12, f6( X ), X ) ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 94, [ p8( U, T, Y ), ~( p2( X, Y ) ), ~( p8( U, Z, X ) ), ~( p4( Z
% 0.71/1.11    , T ) ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 233, [ p8( X, Y, Z ), ~( p8( X, Y, T ) ), ~( p2( T, Z ) ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 239, [ p8( X, Y, c14 ), ~( p8( X, Y, f3( c15 ) ) ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 253, [ p9( c12, f6( c15 ) ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 258, [ p8( c12, f6( c15 ), c15 ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 265, [ p8( c12, c13, f3( c15 ) ) ] )
% 0.71/1.11  .
% 0.71/1.11  clause( 266, [] )
% 0.71/1.11  .
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  % SZS output end Refutation
% 0.71/1.11  found a proof!
% 0.71/1.11  
% 0.71/1.11  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.11  
% 0.71/1.11  initialclauses(
% 0.71/1.11  [ clause( 268, [ p10( X, X ) ] )
% 0.71/1.11  , clause( 269, [ p7( X, X ) ] )
% 0.71/1.11  , clause( 270, [ p4( X, X ) ] )
% 0.71/1.11  , clause( 271, [ p2( X, X ) ] )
% 0.71/1.11  , clause( 272, [ p11( c15, c16 ) ] )
% 0.71/1.11  , clause( 273, [ p9( c12, c13 ) ] )
% 0.71/1.11  , clause( 274, [ p2( c14, f3( c15 ) ) ] )
% 0.71/1.11  , clause( 275, [ ~( p8( c12, c13, c14 ) ) ] )
% 0.71/1.11  , clause( 276, [ p4( f6( X ), f6( Y ) ), ~( p2( X, Y ) ) ] )
% 0.71/1.11  , clause( 277, [ p2( f3( X ), f3( Y ) ), ~( p2( X, Y ) ) ] )
% 0.71/1.11  , clause( 278, [ p4( f5( X ), f5( Y ) ), ~( p2( X, Y ) ) ] )
% 0.71/1.11  , clause( 279, [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ] )
% 0.71/1.11  , clause( 280, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 0.71/1.11  , clause( 281, [ p4( X, Y ), ~( p4( Z, X ) ), ~( p4( Z, Y ) ) ] )
% 0.71/1.11  , clause( 282, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.71/1.11  , clause( 283, [ p8( c12, X, Y ), ~( p11( Y, c16 ) ), ~( p9( c12, X ) ) ]
% 0.71/1.11     )
% 0.71/1.11  , clause( 284, [ p9( c12, f5( X ) ), p8( c12, Y, X ), ~( p9( c12, Y ) ) ]
% 0.71/1.11     )
% 0.71/1.11  , clause( 285, [ p9( c12, f6( X ) ), p8( c12, Y, f3( X ) ), ~( p9( c12, Y )
% 0.71/1.11     ) ] )
% 0.71/1.11  , clause( 286, [ p9( X, Y ), ~( p7( Z, X ) ), ~( p9( Z, T ) ), ~( p4( T, Y
% 0.71/1.11     ) ) ] )
% 0.71/1.11  , clause( 287, [ p11( X, Y ), ~( p11( Z, T ) ), ~( p2( Z, X ) ), ~( p10( T
% 0.71/1.11    , Y ) ) ] )
% 0.71/1.11  , clause( 288, [ p8( c12, X, Y ), ~( p9( c12, X ) ), ~( p8( c12, f5( Y ), 
% 0.71/1.11    f3( Y ) ) ) ] )
% 0.71/1.11  , clause( 289, [ p8( c12, X, f3( Y ) ), ~( p9( c12, X ) ), ~( p8( c12, f6( 
% 0.71/1.11    Y ), Y ) ) ] )
% 0.71/1.11  , clause( 290, [ p8( X, Y, Z ), ~( p2( T, Z ) ), ~( p4( U, Y ) ), ~( p7( W
% 0.71/1.11    , X ) ), ~( p8( W, U, T ) ) ] )
% 0.71/1.11  ] ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 1, [ p7( X, X ) ] )
% 0.71/1.11  , clause( 269, [ p7( X, X ) ] )
% 0.71/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 2, [ p4( X, X ) ] )
% 0.71/1.11  , clause( 270, [ p4( X, X ) ] )
% 0.71/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 3, [ p2( X, X ) ] )
% 0.71/1.11  , clause( 271, [ p2( X, X ) ] )
% 0.71/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 4, [ p11( c15, c16 ) ] )
% 0.71/1.11  , clause( 272, [ p11( c15, c16 ) ] )
% 0.71/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 5, [ p9( c12, c13 ) ] )
% 0.71/1.11  , clause( 273, [ p9( c12, c13 ) ] )
% 0.71/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 6, [ p2( c14, f3( c15 ) ) ] )
% 0.71/1.11  , clause( 274, [ p2( c14, f3( c15 ) ) ] )
% 0.71/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 7, [ ~( p8( c12, c13, c14 ) ) ] )
% 0.71/1.11  , clause( 275, [ ~( p8( c12, c13, c14 ) ) ] )
% 0.71/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 14, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.71/1.11  , clause( 282, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.71/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.71/1.11    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 15, [ p8( c12, X, Y ), ~( p9( c12, X ) ), ~( p11( Y, c16 ) ) ] )
% 0.71/1.11  , clause( 283, [ p8( c12, X, Y ), ~( p11( Y, c16 ) ), ~( p9( c12, X ) ) ]
% 0.71/1.11     )
% 0.71/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.11     ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 17, [ p9( c12, f6( X ) ), p8( c12, Y, f3( X ) ), ~( p9( c12, Y ) )
% 0.71/1.11     ] )
% 0.71/1.11  , clause( 285, [ p9( c12, f6( X ) ), p8( c12, Y, f3( X ) ), ~( p9( c12, Y )
% 0.71/1.11     ) ] )
% 0.71/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.11     ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 21, [ p8( c12, X, f3( Y ) ), ~( p8( c12, f6( Y ), Y ) ), ~( p9( c12
% 0.71/1.11    , X ) ) ] )
% 0.71/1.11  , clause( 289, [ p8( c12, X, f3( Y ) ), ~( p9( c12, X ) ), ~( p8( c12, f6( 
% 0.71/1.11    Y ), Y ) ) ] )
% 0.71/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.11     ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 22, [ ~( p2( T, Z ) ), ~( p4( U, Y ) ), p8( X, Y, Z ), ~( p8( W, U
% 0.71/1.11    , T ) ), ~( p7( W, X ) ) ] )
% 0.71/1.11  , clause( 290, [ p8( X, Y, Z ), ~( p2( T, Z ) ), ~( p4( U, Y ) ), ~( p7( W
% 0.71/1.11    , X ) ), ~( p8( W, U, T ) ) ] )
% 0.71/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.11    , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.71/1.11    , 1 ), ==>( 3, 4 ), ==>( 4, 3 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  resolution(
% 0.71/1.11  clause( 312, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.71/1.11  , clause( 14, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.71/1.11  , 2, clause( 3, [ p2( X, X ) ] )
% 0.71/1.11  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ), 
% 0.71/1.11    substitution( 1, [ :=( X, X )] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 41, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.71/1.11  , clause( 312, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.71/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.71/1.11     ), ==>( 1, 0 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  resolution(
% 0.71/1.11  clause( 313, [ p2( f3( c15 ), c14 ) ] )
% 0.71/1.11  , clause( 41, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.71/1.11  , 1, clause( 6, [ p2( c14, f3( c15 ) ) ] )
% 0.71/1.11  , 0, substitution( 0, [ :=( X, c14 ), :=( Y, f3( c15 ) )] ), substitution( 
% 0.71/1.11    1, [] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 60, [ p2( f3( c15 ), c14 ) ] )
% 0.71/1.11  , clause( 313, [ p2( f3( c15 ), c14 ) ] )
% 0.71/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  resolution(
% 0.71/1.11  clause( 314, [ p8( c12, X, c15 ), ~( p9( c12, X ) ) ] )
% 0.71/1.11  , clause( 15, [ p8( c12, X, Y ), ~( p9( c12, X ) ), ~( p11( Y, c16 ) ) ] )
% 0.71/1.11  , 2, clause( 4, [ p11( c15, c16 ) ] )
% 0.71/1.11  , 0, substitution( 0, [ :=( X, X ), :=( Y, c15 )] ), substitution( 1, [] )
% 0.71/1.11    ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 61, [ p8( c12, X, c15 ), ~( p9( c12, X ) ) ] )
% 0.71/1.11  , clause( 314, [ p8( c12, X, c15 ), ~( p9( c12, X ) ) ] )
% 0.71/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.71/1.11    1 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  resolution(
% 0.71/1.11  clause( 315, [ p9( c12, f6( X ) ), p8( c12, c13, f3( X ) ) ] )
% 0.71/1.11  , clause( 17, [ p9( c12, f6( X ) ), p8( c12, Y, f3( X ) ), ~( p9( c12, Y )
% 0.71/1.11     ) ] )
% 0.71/1.11  , 2, clause( 5, [ p9( c12, c13 ) ] )
% 0.71/1.11  , 0, substitution( 0, [ :=( X, X ), :=( Y, c13 )] ), substitution( 1, [] )
% 0.71/1.11    ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 70, [ p9( c12, f6( X ) ), p8( c12, c13, f3( X ) ) ] )
% 0.71/1.11  , clause( 315, [ p9( c12, f6( X ) ), p8( c12, c13, f3( X ) ) ] )
% 0.71/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.71/1.11    1 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  resolution(
% 0.71/1.11  clause( 316, [ p8( c12, c13, f3( X ) ), ~( p8( c12, f6( X ), X ) ) ] )
% 0.71/1.11  , clause( 21, [ p8( c12, X, f3( Y ) ), ~( p8( c12, f6( Y ), Y ) ), ~( p9( 
% 0.71/1.11    c12, X ) ) ] )
% 0.71/1.11  , 2, clause( 5, [ p9( c12, c13 ) ] )
% 0.71/1.11  , 0, substitution( 0, [ :=( X, c13 ), :=( Y, X )] ), substitution( 1, [] )
% 0.71/1.11    ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 85, [ p8( c12, c13, f3( X ) ), ~( p8( c12, f6( X ), X ) ) ] )
% 0.71/1.11  , clause( 316, [ p8( c12, c13, f3( X ) ), ~( p8( c12, f6( X ), X ) ) ] )
% 0.71/1.11  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.71/1.11    1 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  resolution(
% 0.71/1.11  clause( 317, [ ~( p2( X, Y ) ), ~( p4( Z, T ) ), p8( U, T, Y ), ~( p8( U, Z
% 0.71/1.11    , X ) ) ] )
% 0.71/1.11  , clause( 22, [ ~( p2( T, Z ) ), ~( p4( U, Y ) ), p8( X, Y, Z ), ~( p8( W, 
% 0.71/1.11    U, T ) ), ~( p7( W, X ) ) ] )
% 0.71/1.11  , 4, clause( 1, [ p7( X, X ) ] )
% 0.71/1.11  , 0, substitution( 0, [ :=( X, U ), :=( Y, T ), :=( Z, Y ), :=( T, X ), 
% 0.71/1.11    :=( U, Z ), :=( W, U )] ), substitution( 1, [ :=( X, U )] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 94, [ p8( U, T, Y ), ~( p2( X, Y ) ), ~( p8( U, Z, X ) ), ~( p4( Z
% 0.71/1.11    , T ) ) ] )
% 0.71/1.11  , clause( 317, [ ~( p2( X, Y ) ), ~( p4( Z, T ) ), p8( U, T, Y ), ~( p8( U
% 0.71/1.11    , Z, X ) ) ] )
% 0.71/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.71/1.11    , U )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 3 ), ==>( 2, 0 ), ==>( 3
% 0.71/1.11    , 2 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  resolution(
% 0.71/1.11  clause( 318, [ p8( X, Y, Z ), ~( p2( T, Z ) ), ~( p8( X, Y, T ) ) ] )
% 0.71/1.11  , clause( 94, [ p8( U, T, Y ), ~( p2( X, Y ) ), ~( p8( U, Z, X ) ), ~( p4( 
% 0.71/1.11    Z, T ) ) ] )
% 0.71/1.11  , 3, clause( 2, [ p4( X, X ) ] )
% 0.71/1.11  , 0, substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, Y ), :=( T, Y ), 
% 0.71/1.11    :=( U, X )] ), substitution( 1, [ :=( X, Y )] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 233, [ p8( X, Y, Z ), ~( p8( X, Y, T ) ), ~( p2( T, Z ) ) ] )
% 0.71/1.11  , clause( 318, [ p8( X, Y, Z ), ~( p2( T, Z ) ), ~( p8( X, Y, T ) ) ] )
% 0.71/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.71/1.11    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  resolution(
% 0.71/1.11  clause( 319, [ p8( X, Y, c14 ), ~( p8( X, Y, f3( c15 ) ) ) ] )
% 0.71/1.11  , clause( 233, [ p8( X, Y, Z ), ~( p8( X, Y, T ) ), ~( p2( T, Z ) ) ] )
% 0.71/1.11  , 2, clause( 60, [ p2( f3( c15 ), c14 ) ] )
% 0.71/1.11  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, c14 ), :=( T, f3( 
% 0.71/1.11    c15 ) )] ), substitution( 1, [] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 239, [ p8( X, Y, c14 ), ~( p8( X, Y, f3( c15 ) ) ) ] )
% 0.71/1.11  , clause( 319, [ p8( X, Y, c14 ), ~( p8( X, Y, f3( c15 ) ) ) ] )
% 0.71/1.11  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.11     ), ==>( 1, 1 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  resolution(
% 0.71/1.11  clause( 320, [ p8( c12, c13, c14 ), p9( c12, f6( c15 ) ) ] )
% 0.71/1.11  , clause( 239, [ p8( X, Y, c14 ), ~( p8( X, Y, f3( c15 ) ) ) ] )
% 0.71/1.11  , 1, clause( 70, [ p9( c12, f6( X ) ), p8( c12, c13, f3( X ) ) ] )
% 0.71/1.11  , 1, substitution( 0, [ :=( X, c12 ), :=( Y, c13 )] ), substitution( 1, [ 
% 0.71/1.11    :=( X, c15 )] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  resolution(
% 0.71/1.11  clause( 321, [ p9( c12, f6( c15 ) ) ] )
% 0.71/1.11  , clause( 7, [ ~( p8( c12, c13, c14 ) ) ] )
% 0.71/1.11  , 0, clause( 320, [ p8( c12, c13, c14 ), p9( c12, f6( c15 ) ) ] )
% 0.71/1.11  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 253, [ p9( c12, f6( c15 ) ) ] )
% 0.71/1.11  , clause( 321, [ p9( c12, f6( c15 ) ) ] )
% 0.71/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  resolution(
% 0.71/1.11  clause( 322, [ p8( c12, f6( c15 ), c15 ) ] )
% 0.71/1.11  , clause( 61, [ p8( c12, X, c15 ), ~( p9( c12, X ) ) ] )
% 0.71/1.11  , 1, clause( 253, [ p9( c12, f6( c15 ) ) ] )
% 0.71/1.11  , 0, substitution( 0, [ :=( X, f6( c15 ) )] ), substitution( 1, [] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 258, [ p8( c12, f6( c15 ), c15 ) ] )
% 0.71/1.11  , clause( 322, [ p8( c12, f6( c15 ), c15 ) ] )
% 0.71/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  resolution(
% 0.71/1.11  clause( 323, [ p8( c12, c13, f3( c15 ) ) ] )
% 0.71/1.11  , clause( 85, [ p8( c12, c13, f3( X ) ), ~( p8( c12, f6( X ), X ) ) ] )
% 0.71/1.11  , 1, clause( 258, [ p8( c12, f6( c15 ), c15 ) ] )
% 0.71/1.11  , 0, substitution( 0, [ :=( X, c15 )] ), substitution( 1, [] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 265, [ p8( c12, c13, f3( c15 ) ) ] )
% 0.71/1.11  , clause( 323, [ p8( c12, c13, f3( c15 ) ) ] )
% 0.71/1.11  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  resolution(
% 0.71/1.11  clause( 324, [ p8( c12, c13, c14 ) ] )
% 0.71/1.11  , clause( 239, [ p8( X, Y, c14 ), ~( p8( X, Y, f3( c15 ) ) ) ] )
% 0.71/1.11  , 1, clause( 265, [ p8( c12, c13, f3( c15 ) ) ] )
% 0.71/1.11  , 0, substitution( 0, [ :=( X, c12 ), :=( Y, c13 )] ), substitution( 1, [] )
% 0.71/1.11    ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  resolution(
% 0.71/1.11  clause( 325, [] )
% 0.71/1.11  , clause( 7, [ ~( p8( c12, c13, c14 ) ) ] )
% 0.71/1.11  , 0, clause( 324, [ p8( c12, c13, c14 ) ] )
% 0.71/1.11  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  subsumption(
% 0.71/1.11  clause( 266, [] )
% 0.71/1.11  , clause( 325, [] )
% 0.71/1.11  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  end.
% 0.71/1.11  
% 0.71/1.11  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.11  
% 0.71/1.11  Memory use:
% 0.71/1.11  
% 0.71/1.11  space for terms:        3618
% 0.71/1.11  space for clauses:      15028
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  clauses generated:      453
% 0.71/1.11  clauses kept:           267
% 0.71/1.11  clauses selected:       167
% 0.71/1.11  clauses deleted:        10
% 0.71/1.11  clauses inuse deleted:  0
% 0.71/1.11  
% 0.71/1.11  subsentry:          435
% 0.71/1.11  literals s-matched: 361
% 0.71/1.11  literals matched:   361
% 0.71/1.11  full subsumption:   0
% 0.71/1.11  
% 0.71/1.11  checksum:           1662122092
% 0.71/1.11  
% 0.71/1.11  
% 0.71/1.11  Bliksem ended
%------------------------------------------------------------------------------