TSTP Solution File: SYN570-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN570-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n025.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 0.41s 1.05s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN570-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Tue Jul 12 04:34:47 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.41/1.05  *** allocated 10000 integers for termspace/termends
% 0.41/1.05  *** allocated 10000 integers for clauses
% 0.41/1.05  *** allocated 10000 integers for justifications
% 0.41/1.05  Bliksem 1.12
% 0.41/1.05  
% 0.41/1.05  
% 0.41/1.05  Automatic Strategy Selection
% 0.41/1.05  
% 0.41/1.05  Clauses:
% 0.41/1.05  [
% 0.41/1.05     [ p10( X, X ) ],
% 0.41/1.05     [ p7( X, X ) ],
% 0.41/1.05     [ p6( X, X ) ],
% 0.41/1.05     [ p3( X, X ) ],
% 0.41/1.05     [ p2( X, X ) ],
% 0.41/1.05     [ p11( c12, c14 ) ],
% 0.41/1.05     [ p9( c15, f8( c13 ) ) ],
% 0.41/1.05     [ p2( c12, f5( c15 ) ) ],
% 0.41/1.05     [ p3( f4( f5( X ) ), X ) ],
% 0.41/1.05     [ ~( p9( f4( c12 ), f8( c13 ) ) ) ],
% 0.41/1.05     [ p7( f8( X ), f8( Y ) ), ~( p6( X, Y ) ) ],
% 0.41/1.05     [ p2( f5( X ), f5( Y ) ), ~( p3( X, Y ) ) ],
% 0.41/1.05     [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ],
% 0.41/1.05     [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ],
% 0.41/1.05     [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ],
% 0.41/1.05     [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ],
% 0.41/1.05     [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ],
% 0.41/1.05     [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.41/1.05     [ p9( X, Y ), ~( p7( Z, Y ) ), ~( p9( T, Z ) ), ~( p3( T, X ) ) ],
% 0.41/1.05     [ p11( X, Y ), ~( p11( Z, T ) ), ~( p2( Z, X ) ), ~( p10( T, Y ) ) ]
% 0.41/1.05  ] .
% 0.41/1.05  
% 0.41/1.05  
% 0.41/1.05  percentage equality = 0.000000, percentage horn = 1.000000
% 0.41/1.05  This is a near-Horn, non-equality  problem
% 0.41/1.05  
% 0.41/1.05  
% 0.41/1.05  Options Used:
% 0.41/1.05  
% 0.41/1.05  useres =            1
% 0.41/1.05  useparamod =        0
% 0.41/1.05  useeqrefl =         0
% 0.41/1.05  useeqfact =         0
% 0.41/1.05  usefactor =         1
% 0.41/1.05  usesimpsplitting =  0
% 0.41/1.05  usesimpdemod =      0
% 0.41/1.05  usesimpres =        4
% 0.41/1.05  
% 0.41/1.05  resimpinuse      =  1000
% 0.41/1.05  resimpclauses =     20000
% 0.41/1.05  substype =          standard
% 0.41/1.05  backwardsubs =      1
% 0.41/1.05  selectoldest =      5
% 0.41/1.05  
% 0.41/1.05  litorderings [0] =  split
% 0.41/1.05  litorderings [1] =  liftord
% 0.41/1.05  
% 0.41/1.05  termordering =      none
% 0.41/1.05  
% 0.41/1.05  litapriori =        1
% 0.41/1.05  termapriori =       0
% 0.41/1.05  litaposteriori =    0
% 0.41/1.05  termaposteriori =   0
% 0.41/1.05  demodaposteriori =  0
% 0.41/1.05  ordereqreflfact =   0
% 0.41/1.05  
% 0.41/1.05  litselect =         negative
% 0.41/1.05  
% 0.41/1.05  maxweight =         30000
% 0.41/1.05  maxdepth =          30000
% 0.41/1.05  maxlength =         115
% 0.41/1.05  maxnrvars =         195
% 0.41/1.05  excuselevel =       0
% 0.41/1.05  increasemaxweight = 0
% 0.41/1.05  
% 0.41/1.05  maxselected =       10000000
% 0.41/1.05  maxnrclauses =      10000000
% 0.41/1.05  
% 0.41/1.05  showgenerated =    0
% 0.41/1.05  showkept =         0
% 0.41/1.05  showselected =     0
% 0.41/1.05  showdeleted =      0
% 0.41/1.05  showresimp =       1
% 0.41/1.05  showstatus =       2000
% 0.41/1.05  
% 0.41/1.05  prologoutput =     1
% 0.41/1.05  nrgoals =          5000000
% 0.41/1.05  totalproof =       1
% 0.41/1.05  
% 0.41/1.05  Symbols occurring in the translation:
% 0.41/1.05  
% 0.41/1.05  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.41/1.05  .  [1, 2]      (w:1, o:51, a:1, s:1, b:0), 
% 0.41/1.05  !  [4, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 0.41/1.05  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.41/1.05  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.41/1.05  p10  [40, 2]      (w:1, o:76, a:1, s:1, b:0), 
% 0.41/1.05  p7  [42, 2]      (w:1, o:78, a:1, s:1, b:0), 
% 0.41/1.05  p6  [44, 2]      (w:1, o:77, a:1, s:1, b:0), 
% 0.41/1.05  p3  [46, 2]      (w:1, o:81, a:1, s:1, b:0), 
% 0.41/1.05  p2  [48, 2]      (w:1, o:80, a:1, s:1, b:0), 
% 0.41/1.05  c12  [49, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 0.41/1.05  c14  [50, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 0.41/1.05  p11  [51, 2]      (w:1, o:79, a:1, s:1, b:0), 
% 0.41/1.05  c15  [52, 0]      (w:1, o:29, a:1, s:1, b:0), 
% 0.41/1.05  c13  [53, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 0.41/1.05  f8  [54, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 0.41/1.05  p9  [55, 2]      (w:1, o:82, a:1, s:1, b:0), 
% 0.41/1.05  f5  [56, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 0.41/1.05  f4  [58, 1]      (w:1, o:49, a:1, s:1, b:0).
% 0.41/1.05  
% 0.41/1.05  
% 0.41/1.05  Starting Search:
% 0.41/1.05  
% 0.41/1.05  
% 0.41/1.05  Bliksems!, er is een bewijs:
% 0.41/1.05  % SZS status Unsatisfiable
% 0.41/1.05  % SZS output start Refutation
% 0.41/1.05  
% 0.41/1.05  clause( 1, [ p7( X, X ) ] )
% 0.41/1.05  .
% 0.41/1.05  clause( 3, [ p3( X, X ) ] )
% 0.41/1.05  .
% 0.41/1.05  clause( 4, [ p2( X, X ) ] )
% 0.41/1.05  .
% 0.41/1.05  clause( 6, [ p9( c15, f8( c13 ) ) ] )
% 0.41/1.05  .
% 0.41/1.05  clause( 7, [ p2( c12, f5( c15 ) ) ] )
% 0.41/1.05  .
% 0.41/1.05  clause( 8, [ p3( f4( f5( X ) ), X ) ] )
% 0.41/1.05  .
% 0.41/1.05  clause( 9, [ ~( p9( f4( c12 ), f8( c13 ) ) ) ] )
% 0.41/1.05  .
% 0.41/1.05  clause( 12, [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.41/1.05  .
% 0.41/1.05  clause( 16, [ ~( p3( Z, X ) ), p3( X, Y ), ~( p3( Z, Y ) ) ] )
% 0.41/1.05  .
% 0.41/1.05  clause( 17, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.41/1.05  .
% 0.41/1.05  clause( 18, [ ~( p9( T, Z ) ), ~( p3( T, X ) ), p9( X, Y ), ~( p7( Z, Y ) )
% 0.41/1.05     ] )
% 0.41/1.05  .
% 0.41/1.05  clause( 29, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.41/1.05  .
% 0.41/1.05  clause( 33, [ p2( f5( c15 ), c12 ) ] )
% 0.41/1.05  .
% 0.41/1.05  clause( 35, [ p3( f4( f5( c15 ) ), f4( c12 ) ) ] )
% 0.41/1.05  .
% 0.41/1.05  clause( 46, [ p3( Y, X ), ~( p3( f4( f5( X ) ), Y ) ) ] )
% 0.41/1.05  .
% 0.41/1.05  clause( 47, [ p3( Y, X ), ~( p3( X, Y ) ) ] )
% 0.41/1.05  .
% 0.41/1.05  clause( 53, [ ~( p9( X, Y ) ), p9( Z, Y ), ~( p3( X, Z ) ) ] )
% 0.41/1.05  .
% 0.41/1.05  clause( 81, [ p3( f4( c12 ), c15 ) ] )
% 0.41/1.05  .
% 0.41/1.05  clause( 83, [ p3( c15, f4( c12 ) ) ] )
% 0.41/1.05  .
% 0.41/1.05  clause( 157, [ p9( f4( c12 ), X ), ~( p9( c15, X ) ) ] )
% 0.41/1.05  .
% 0.41/1.05  clause( 170, [] )
% 0.41/1.05  .
% 0.41/1.05  
% 0.41/1.05  
% 0.41/1.05  % SZS output end Refutation
% 0.41/1.05  found a proof!
% 0.41/1.05  
% 0.41/1.05  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.05  
% 0.41/1.05  initialclauses(
% 0.41/1.05  [ clause( 172, [ p10( X, X ) ] )
% 0.41/1.05  , clause( 173, [ p7( X, X ) ] )
% 0.41/1.05  , clause( 174, [ p6( X, X ) ] )
% 0.41/1.05  , clause( 175, [ p3( X, X ) ] )
% 0.41/1.05  , clause( 176, [ p2( X, X ) ] )
% 0.41/1.05  , clause( 177, [ p11( c12, c14 ) ] )
% 0.41/1.05  , clause( 178, [ p9( c15, f8( c13 ) ) ] )
% 0.41/1.05  , clause( 179, [ p2( c12, f5( c15 ) ) ] )
% 0.41/1.05  , clause( 180, [ p3( f4( f5( X ) ), X ) ] )
% 0.41/1.05  , clause( 181, [ ~( p9( f4( c12 ), f8( c13 ) ) ) ] )
% 0.41/1.05  , clause( 182, [ p7( f8( X ), f8( Y ) ), ~( p6( X, Y ) ) ] )
% 0.41/1.05  , clause( 183, [ p2( f5( X ), f5( Y ) ), ~( p3( X, Y ) ) ] )
% 0.41/1.05  , clause( 184, [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.41/1.05  , clause( 185, [ p10( X, Y ), ~( p10( Z, X ) ), ~( p10( Z, Y ) ) ] )
% 0.41/1.05  , clause( 186, [ p7( X, Y ), ~( p7( Z, X ) ), ~( p7( Z, Y ) ) ] )
% 0.41/1.05  , clause( 187, [ p6( X, Y ), ~( p6( Z, X ) ), ~( p6( Z, Y ) ) ] )
% 0.41/1.05  , clause( 188, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 0.41/1.05  , clause( 189, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.41/1.05  , clause( 190, [ p9( X, Y ), ~( p7( Z, Y ) ), ~( p9( T, Z ) ), ~( p3( T, X
% 0.41/1.06     ) ) ] )
% 0.41/1.06  , clause( 191, [ p11( X, Y ), ~( p11( Z, T ) ), ~( p2( Z, X ) ), ~( p10( T
% 0.41/1.06    , Y ) ) ] )
% 0.41/1.06  ] ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 1, [ p7( X, X ) ] )
% 0.41/1.06  , clause( 173, [ p7( X, X ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 3, [ p3( X, X ) ] )
% 0.41/1.06  , clause( 175, [ p3( X, X ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 4, [ p2( X, X ) ] )
% 0.41/1.06  , clause( 176, [ p2( X, X ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 6, [ p9( c15, f8( c13 ) ) ] )
% 0.41/1.06  , clause( 178, [ p9( c15, f8( c13 ) ) ] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 7, [ p2( c12, f5( c15 ) ) ] )
% 0.41/1.06  , clause( 179, [ p2( c12, f5( c15 ) ) ] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 8, [ p3( f4( f5( X ) ), X ) ] )
% 0.41/1.06  , clause( 180, [ p3( f4( f5( X ) ), X ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 9, [ ~( p9( f4( c12 ), f8( c13 ) ) ) ] )
% 0.41/1.06  , clause( 181, [ ~( p9( f4( c12 ), f8( c13 ) ) ) ] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 12, [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.41/1.06  , clause( 184, [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.41/1.06     ), ==>( 1, 1 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 16, [ ~( p3( Z, X ) ), p3( X, Y ), ~( p3( Z, Y ) ) ] )
% 0.41/1.06  , clause( 188, [ p3( X, Y ), ~( p3( Z, X ) ), ~( p3( Z, Y ) ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.41/1.06    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 17, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.41/1.06  , clause( 189, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.41/1.06    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 18, [ ~( p9( T, Z ) ), ~( p3( T, X ) ), p9( X, Y ), ~( p7( Z, Y ) )
% 0.41/1.06     ] )
% 0.41/1.06  , clause( 190, [ p9( X, Y ), ~( p7( Z, Y ) ), ~( p9( T, Z ) ), ~( p3( T, X
% 0.41/1.06     ) ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.41/1.06    permutation( 0, [ ==>( 0, 2 ), ==>( 1, 3 ), ==>( 2, 0 ), ==>( 3, 1 )] )
% 0.41/1.06     ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 207, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.41/1.06  , clause( 17, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.41/1.06  , 2, clause( 4, [ p2( X, X ) ] )
% 0.41/1.06  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ), 
% 0.41/1.06    substitution( 1, [ :=( X, X )] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 29, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.41/1.06  , clause( 207, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.41/1.06     ), ==>( 1, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 208, [ p2( f5( c15 ), c12 ) ] )
% 0.41/1.06  , clause( 29, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.41/1.06  , 1, clause( 7, [ p2( c12, f5( c15 ) ) ] )
% 0.41/1.06  , 0, substitution( 0, [ :=( X, c12 ), :=( Y, f5( c15 ) )] ), substitution( 
% 0.41/1.06    1, [] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 33, [ p2( f5( c15 ), c12 ) ] )
% 0.41/1.06  , clause( 208, [ p2( f5( c15 ), c12 ) ] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 209, [ p3( f4( f5( c15 ) ), f4( c12 ) ) ] )
% 0.41/1.06  , clause( 12, [ p3( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.41/1.06  , 1, clause( 33, [ p2( f5( c15 ), c12 ) ] )
% 0.41/1.06  , 0, substitution( 0, [ :=( X, f5( c15 ) ), :=( Y, c12 )] ), substitution( 
% 0.41/1.06    1, [] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 35, [ p3( f4( f5( c15 ) ), f4( c12 ) ) ] )
% 0.41/1.06  , clause( 209, [ p3( f4( f5( c15 ) ), f4( c12 ) ) ] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 211, [ ~( p3( f4( f5( X ) ), Y ) ), p3( Y, X ) ] )
% 0.41/1.06  , clause( 16, [ ~( p3( Z, X ) ), p3( X, Y ), ~( p3( Z, Y ) ) ] )
% 0.41/1.06  , 2, clause( 8, [ p3( f4( f5( X ) ), X ) ] )
% 0.41/1.06  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, f4( f5( X ) ) )] ), 
% 0.41/1.06    substitution( 1, [ :=( X, X )] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 46, [ p3( Y, X ), ~( p3( f4( f5( X ) ), Y ) ) ] )
% 0.41/1.06  , clause( 211, [ ~( p3( f4( f5( X ) ), Y ) ), p3( Y, X ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.41/1.06     ), ==>( 1, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 213, [ ~( p3( X, Y ) ), p3( Y, X ) ] )
% 0.41/1.06  , clause( 16, [ ~( p3( Z, X ) ), p3( X, Y ), ~( p3( Z, Y ) ) ] )
% 0.41/1.06  , 2, clause( 3, [ p3( X, X ) ] )
% 0.41/1.06  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ), 
% 0.41/1.06    substitution( 1, [ :=( X, X )] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 47, [ p3( Y, X ), ~( p3( X, Y ) ) ] )
% 0.41/1.06  , clause( 213, [ ~( p3( X, Y ) ), p3( Y, X ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.41/1.06     ), ==>( 1, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 214, [ ~( p9( X, Y ) ), ~( p3( X, Z ) ), p9( Z, Y ) ] )
% 0.41/1.06  , clause( 18, [ ~( p9( T, Z ) ), ~( p3( T, X ) ), p9( X, Y ), ~( p7( Z, Y )
% 0.41/1.06     ) ] )
% 0.41/1.06  , 3, clause( 1, [ p7( X, X ) ] )
% 0.41/1.06  , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, Y ), :=( T, X )] ), 
% 0.41/1.06    substitution( 1, [ :=( X, Y )] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 53, [ ~( p9( X, Y ) ), p9( Z, Y ), ~( p3( X, Z ) ) ] )
% 0.41/1.06  , clause( 214, [ ~( p9( X, Y ) ), ~( p3( X, Z ) ), p9( Z, Y ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.41/1.06    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 2 ), ==>( 2, 1 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 215, [ p3( f4( c12 ), c15 ) ] )
% 0.41/1.06  , clause( 46, [ p3( Y, X ), ~( p3( f4( f5( X ) ), Y ) ) ] )
% 0.41/1.06  , 1, clause( 35, [ p3( f4( f5( c15 ) ), f4( c12 ) ) ] )
% 0.41/1.06  , 0, substitution( 0, [ :=( X, c15 ), :=( Y, f4( c12 ) )] ), substitution( 
% 0.41/1.06    1, [] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 81, [ p3( f4( c12 ), c15 ) ] )
% 0.41/1.06  , clause( 215, [ p3( f4( c12 ), c15 ) ] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 216, [ p3( c15, f4( c12 ) ) ] )
% 0.41/1.06  , clause( 47, [ p3( Y, X ), ~( p3( X, Y ) ) ] )
% 0.41/1.06  , 1, clause( 81, [ p3( f4( c12 ), c15 ) ] )
% 0.41/1.06  , 0, substitution( 0, [ :=( X, f4( c12 ) ), :=( Y, c15 )] ), substitution( 
% 0.41/1.06    1, [] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 83, [ p3( c15, f4( c12 ) ) ] )
% 0.41/1.06  , clause( 216, [ p3( c15, f4( c12 ) ) ] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 217, [ ~( p9( c15, X ) ), p9( f4( c12 ), X ) ] )
% 0.41/1.06  , clause( 53, [ ~( p9( X, Y ) ), p9( Z, Y ), ~( p3( X, Z ) ) ] )
% 0.41/1.06  , 2, clause( 83, [ p3( c15, f4( c12 ) ) ] )
% 0.41/1.06  , 0, substitution( 0, [ :=( X, c15 ), :=( Y, X ), :=( Z, f4( c12 ) )] ), 
% 0.41/1.06    substitution( 1, [] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 157, [ p9( f4( c12 ), X ), ~( p9( c15, X ) ) ] )
% 0.41/1.06  , clause( 217, [ ~( p9( c15, X ) ), p9( f4( c12 ), X ) ] )
% 0.41/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.41/1.06    0 )] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 218, [ p9( f4( c12 ), f8( c13 ) ) ] )
% 0.41/1.06  , clause( 157, [ p9( f4( c12 ), X ), ~( p9( c15, X ) ) ] )
% 0.41/1.06  , 1, clause( 6, [ p9( c15, f8( c13 ) ) ] )
% 0.41/1.06  , 0, substitution( 0, [ :=( X, f8( c13 ) )] ), substitution( 1, [] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  resolution(
% 0.41/1.06  clause( 219, [] )
% 0.41/1.06  , clause( 9, [ ~( p9( f4( c12 ), f8( c13 ) ) ) ] )
% 0.41/1.06  , 0, clause( 218, [ p9( f4( c12 ), f8( c13 ) ) ] )
% 0.41/1.06  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  subsumption(
% 0.41/1.06  clause( 170, [] )
% 0.41/1.06  , clause( 219, [] )
% 0.41/1.06  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  end.
% 0.41/1.06  
% 0.41/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.41/1.06  
% 0.41/1.06  Memory use:
% 0.41/1.06  
% 0.41/1.06  space for terms:        2080
% 0.41/1.06  space for clauses:      9586
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  clauses generated:      382
% 0.41/1.06  clauses kept:           171
% 0.41/1.06  clauses selected:       91
% 0.41/1.06  clauses deleted:        1
% 0.41/1.06  clauses inuse deleted:  0
% 0.41/1.06  
% 0.41/1.06  subsentry:          406
% 0.41/1.06  literals s-matched: 321
% 0.41/1.06  literals matched:   321
% 0.41/1.06  full subsumption:   0
% 0.41/1.06  
% 0.41/1.06  checksum:           1748615161
% 0.41/1.06  
% 0.41/1.06  
% 0.41/1.06  Bliksem ended
%------------------------------------------------------------------------------