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Bliksem---1.12.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN563-1 : 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 02:53:00 EDT 2022

% Result   : Unsatisfiable 0.67s 1.07s
% Output   : Refutation 0.67s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SYN563-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n029.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 : Mon Jul 11 17:56:17 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.67/1.07  *** allocated 10000 integers for termspace/termends
% 0.67/1.07  *** allocated 10000 integers for clauses
% 0.67/1.07  *** allocated 10000 integers for justifications
% 0.67/1.07  Bliksem 1.12
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  Automatic Strategy Selection
% 0.67/1.07  
% 0.67/1.07  Clauses:
% 0.67/1.07  [
% 0.67/1.07     [ p2( X, X ) ],
% 0.67/1.07     [ p6( X, X ) ],
% 0.67/1.07     [ ~( p6( f4( c7 ), c8 ) ) ],
% 0.67/1.07     [ p2( f4( c7 ), f4( c8 ) ) ],
% 0.67/1.07     [ ~( p6( f4( c7 ), f3( f4( c8 ) ) ) ) ],
% 0.67/1.07     [ p6( X, Y ), ~( p5( X, Y ) ) ],
% 0.67/1.07     [ p5( f3( f3( X ) ), f3( f4( X ) ) ) ],
% 0.67/1.07     [ p5( X, Y ), ~( p6( f4( X ), Y ) ) ],
% 0.67/1.07     [ p6( c7, f3( X ) ), ~( p6( c7, X ) ) ],
% 0.67/1.07     [ p6( f4( X ), Y ), ~( p5( X, Y ) ) ],
% 0.67/1.07     [ p2( f3( X ), f3( Y ) ), ~( p2( X, Y ) ) ],
% 0.67/1.07     [ p2( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ],
% 0.67/1.07     [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ],
% 0.67/1.07     [ p6( X, Y ), ~( p6( X, Z ) ), ~( p6( Z, Y ) ) ],
% 0.67/1.07     [ p5( X, Y ), ~( p5( Z, Y ) ), ~( p6( X, Z ) ) ],
% 0.67/1.07     [ p6( X, Y ), ~( p2( Z, X ) ), ~( p6( Z, T ) ), ~( p2( T, Y ) ) ],
% 0.67/1.07     [ p5( X, Y ), ~( p2( Z, Y ) ), ~( p5( T, Z ) ), ~( p2( T, X ) ) ]
% 0.67/1.07  ] .
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  percentage equality = 0.000000, percentage horn = 1.000000
% 0.67/1.07  This is a near-Horn, non-equality  problem
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  Options Used:
% 0.67/1.07  
% 0.67/1.07  useres =            1
% 0.67/1.07  useparamod =        0
% 0.67/1.07  useeqrefl =         0
% 0.67/1.07  useeqfact =         0
% 0.67/1.07  usefactor =         1
% 0.67/1.07  usesimpsplitting =  0
% 0.67/1.07  usesimpdemod =      0
% 0.67/1.07  usesimpres =        4
% 0.67/1.07  
% 0.67/1.07  resimpinuse      =  1000
% 0.67/1.07  resimpclauses =     20000
% 0.67/1.07  substype =          standard
% 0.67/1.07  backwardsubs =      1
% 0.67/1.07  selectoldest =      5
% 0.67/1.07  
% 0.67/1.07  litorderings [0] =  split
% 0.67/1.07  litorderings [1] =  liftord
% 0.67/1.07  
% 0.67/1.07  termordering =      none
% 0.67/1.07  
% 0.67/1.07  litapriori =        1
% 0.67/1.07  termapriori =       0
% 0.67/1.07  litaposteriori =    0
% 0.67/1.07  termaposteriori =   0
% 0.67/1.07  demodaposteriori =  0
% 0.67/1.07  ordereqreflfact =   0
% 0.67/1.07  
% 0.67/1.07  litselect =         negative
% 0.67/1.07  
% 0.67/1.07  maxweight =         30000
% 0.67/1.07  maxdepth =          30000
% 0.67/1.07  maxlength =         115
% 0.67/1.07  maxnrvars =         195
% 0.67/1.07  excuselevel =       0
% 0.67/1.07  increasemaxweight = 0
% 0.67/1.07  
% 0.67/1.07  maxselected =       10000000
% 0.67/1.07  maxnrclauses =      10000000
% 0.67/1.07  
% 0.67/1.07  showgenerated =    0
% 0.67/1.07  showkept =         0
% 0.67/1.07  showselected =     0
% 0.67/1.07  showdeleted =      0
% 0.67/1.07  showresimp =       1
% 0.67/1.07  showstatus =       2000
% 0.67/1.07  
% 0.67/1.07  prologoutput =     1
% 0.67/1.07  nrgoals =          5000000
% 0.67/1.07  totalproof =       1
% 0.67/1.07  
% 0.67/1.07  Symbols occurring in the translation:
% 0.67/1.07  
% 0.67/1.07  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.67/1.07  .  [1, 2]      (w:1, o:46, a:1, s:1, b:0), 
% 0.67/1.07  !  [4, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 0.67/1.07  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.67/1.07  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.67/1.07  p2  [40, 2]      (w:1, o:71, a:1, s:1, b:0), 
% 0.67/1.07  p6  [42, 2]      (w:1, o:73, a:1, s:1, b:0), 
% 0.67/1.07  c7  [43, 0]      (w:1, o:23, a:1, s:1, b:0), 
% 0.67/1.07  f4  [44, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 0.67/1.07  c8  [45, 0]      (w:1, o:24, a:1, s:1, b:0), 
% 0.67/1.07  f3  [46, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 0.67/1.07  p5  [49, 2]      (w:1, o:72, a:1, s:1, b:0).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  Starting Search:
% 0.67/1.07  
% 0.67/1.07  Resimplifying inuse:
% 0.67/1.07  Done
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  Bliksems!, er is een bewijs:
% 0.67/1.07  % SZS status Unsatisfiable
% 0.67/1.07  % SZS output start Refutation
% 0.67/1.07  
% 0.67/1.07  clause( 0, [ p2( X, X ) ] )
% 0.67/1.07  .
% 0.67/1.07  clause( 1, [ p6( X, X ) ] )
% 0.67/1.07  .
% 0.67/1.07  clause( 3, [ p2( f4( c7 ), f4( c8 ) ) ] )
% 0.67/1.07  .
% 0.67/1.07  clause( 4, [ ~( p6( f4( c7 ), f3( f4( c8 ) ) ) ) ] )
% 0.67/1.07  .
% 0.67/1.07  clause( 6, [ p5( f3( f3( X ) ), f3( f4( X ) ) ) ] )
% 0.67/1.07  .
% 0.67/1.07  clause( 8, [ p6( c7, f3( X ) ), ~( p6( c7, X ) ) ] )
% 0.67/1.07  .
% 0.67/1.07  clause( 9, [ p6( f4( X ), Y ), ~( p5( X, Y ) ) ] )
% 0.67/1.07  .
% 0.67/1.07  clause( 10, [ p2( f3( X ), f3( Y ) ), ~( p2( X, Y ) ) ] )
% 0.67/1.07  .
% 0.67/1.07  clause( 12, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.67/1.07  .
% 0.67/1.07  clause( 14, [ p5( X, Y ), ~( p5( Z, Y ) ), ~( p6( X, Z ) ) ] )
% 0.67/1.07  .
% 0.67/1.07  clause( 15, [ ~( p2( Z, X ) ), ~( p6( Z, T ) ), p6( X, Y ), ~( p2( T, Y ) )
% 0.67/1.07     ] )
% 0.67/1.07  .
% 0.67/1.07  clause( 21, [ p6( c7, f3( c7 ) ) ] )
% 0.67/1.07  .
% 0.67/1.07  clause( 25, [ p6( c7, f3( f3( c7 ) ) ) ] )
% 0.67/1.07  .
% 0.67/1.07  clause( 27, [ p2( f3( f4( c7 ) ), f3( f4( c8 ) ) ) ] )
% 0.67/1.07  .
% 0.67/1.07  clause( 40, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.67/1.07  .
% 0.67/1.07  clause( 41, [ p2( f4( c8 ), f4( c7 ) ) ] )
% 0.67/1.07  .
% 0.67/1.07  clause( 77, [ p5( c7, X ), ~( p5( f3( f3( c7 ) ), X ) ) ] )
% 0.67/1.07  .
% 0.67/1.07  clause( 94, [ p6( Y, f3( f4( c8 ) ) ), ~( p6( X, f3( f4( c7 ) ) ) ), ~( p2( 
% 0.67/1.07    X, Y ) ) ] )
% 0.67/1.07  .
% 0.67/1.07  clause( 100, [ ~( p6( X, Z ) ), p6( Y, Z ), ~( p2( X, Y ) ) ] )
% 0.67/1.07  .
% 0.67/1.07  clause( 455, [ p5( c7, f3( f4( c7 ) ) ) ] )
% 0.67/1.07  .
% 0.67/1.07  clause( 456, [ p6( f4( c7 ), f3( f4( c7 ) ) ) ] )
% 0.67/1.07  .
% 0.67/1.07  clause( 766, [ p6( f4( c8 ), f3( f4( c8 ) ) ) ] )
% 0.67/1.07  .
% 0.67/1.07  clause( 916, [ p6( f4( c7 ), X ), ~( p6( f4( c8 ), X ) ) ] )
% 0.67/1.07  .
% 0.67/1.07  clause( 1218, [] )
% 0.67/1.07  .
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  % SZS output end Refutation
% 0.67/1.07  found a proof!
% 0.67/1.07  
% 0.67/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.67/1.07  
% 0.67/1.07  initialclauses(
% 0.67/1.07  [ clause( 1220, [ p2( X, X ) ] )
% 0.67/1.07  , clause( 1221, [ p6( X, X ) ] )
% 0.67/1.07  , clause( 1222, [ ~( p6( f4( c7 ), c8 ) ) ] )
% 0.67/1.07  , clause( 1223, [ p2( f4( c7 ), f4( c8 ) ) ] )
% 0.67/1.07  , clause( 1224, [ ~( p6( f4( c7 ), f3( f4( c8 ) ) ) ) ] )
% 0.67/1.07  , clause( 1225, [ p6( X, Y ), ~( p5( X, Y ) ) ] )
% 0.67/1.07  , clause( 1226, [ p5( f3( f3( X ) ), f3( f4( X ) ) ) ] )
% 0.67/1.07  , clause( 1227, [ p5( X, Y ), ~( p6( f4( X ), Y ) ) ] )
% 0.67/1.07  , clause( 1228, [ p6( c7, f3( X ) ), ~( p6( c7, X ) ) ] )
% 0.67/1.07  , clause( 1229, [ p6( f4( X ), Y ), ~( p5( X, Y ) ) ] )
% 0.67/1.07  , clause( 1230, [ p2( f3( X ), f3( Y ) ), ~( p2( X, Y ) ) ] )
% 0.67/1.07  , clause( 1231, [ p2( f4( X ), f4( Y ) ), ~( p2( X, Y ) ) ] )
% 0.67/1.07  , clause( 1232, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.67/1.07  , clause( 1233, [ p6( X, Y ), ~( p6( X, Z ) ), ~( p6( Z, Y ) ) ] )
% 0.67/1.07  , clause( 1234, [ p5( X, Y ), ~( p5( Z, Y ) ), ~( p6( X, Z ) ) ] )
% 0.67/1.07  , clause( 1235, [ p6( X, Y ), ~( p2( Z, X ) ), ~( p6( Z, T ) ), ~( p2( T, Y
% 0.67/1.07     ) ) ] )
% 0.67/1.07  , clause( 1236, [ p5( X, Y ), ~( p2( Z, Y ) ), ~( p5( T, Z ) ), ~( p2( T, X
% 0.67/1.07     ) ) ] )
% 0.67/1.07  ] ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  subsumption(
% 0.67/1.07  clause( 0, [ p2( X, X ) ] )
% 0.67/1.07  , clause( 1220, [ p2( X, X ) ] )
% 0.67/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  subsumption(
% 0.67/1.07  clause( 1, [ p6( X, X ) ] )
% 0.67/1.07  , clause( 1221, [ p6( X, X ) ] )
% 0.67/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  subsumption(
% 0.67/1.07  clause( 3, [ p2( f4( c7 ), f4( c8 ) ) ] )
% 0.67/1.07  , clause( 1223, [ p2( f4( c7 ), f4( c8 ) ) ] )
% 0.67/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  subsumption(
% 0.67/1.07  clause( 4, [ ~( p6( f4( c7 ), f3( f4( c8 ) ) ) ) ] )
% 0.67/1.07  , clause( 1224, [ ~( p6( f4( c7 ), f3( f4( c8 ) ) ) ) ] )
% 0.67/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  subsumption(
% 0.67/1.07  clause( 6, [ p5( f3( f3( X ) ), f3( f4( X ) ) ) ] )
% 0.67/1.07  , clause( 1226, [ p5( f3( f3( X ) ), f3( f4( X ) ) ) ] )
% 0.67/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  subsumption(
% 0.67/1.07  clause( 8, [ p6( c7, f3( X ) ), ~( p6( c7, X ) ) ] )
% 0.67/1.07  , clause( 1228, [ p6( c7, f3( X ) ), ~( p6( c7, X ) ) ] )
% 0.67/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.67/1.07    1 )] ) ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  subsumption(
% 0.67/1.07  clause( 9, [ p6( f4( X ), Y ), ~( p5( X, Y ) ) ] )
% 0.67/1.07  , clause( 1229, [ p6( f4( X ), Y ), ~( p5( X, Y ) ) ] )
% 0.67/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.67/1.07     ), ==>( 1, 1 )] ) ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  subsumption(
% 0.67/1.07  clause( 10, [ p2( f3( X ), f3( Y ) ), ~( p2( X, Y ) ) ] )
% 0.67/1.07  , clause( 1230, [ p2( f3( X ), f3( Y ) ), ~( p2( X, Y ) ) ] )
% 0.67/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.67/1.07     ), ==>( 1, 1 )] ) ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  subsumption(
% 0.67/1.07  clause( 12, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.67/1.07  , clause( 1232, [ p2( X, Y ), ~( p2( Z, X ) ), ~( p2( Z, Y ) ) ] )
% 0.67/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.67/1.07    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  subsumption(
% 0.67/1.07  clause( 14, [ p5( X, Y ), ~( p5( Z, Y ) ), ~( p6( X, Z ) ) ] )
% 0.67/1.07  , clause( 1234, [ p5( X, Y ), ~( p5( Z, Y ) ), ~( p6( X, Z ) ) ] )
% 0.67/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.67/1.07    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  subsumption(
% 0.67/1.07  clause( 15, [ ~( p2( Z, X ) ), ~( p6( Z, T ) ), p6( X, Y ), ~( p2( T, Y ) )
% 0.67/1.07     ] )
% 0.67/1.07  , clause( 1235, [ p6( X, Y ), ~( p2( Z, X ) ), ~( p6( Z, T ) ), ~( p2( T, Y
% 0.67/1.07     ) ) ] )
% 0.67/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.67/1.07    permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 3 )] )
% 0.67/1.07     ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  resolution(
% 0.67/1.07  clause( 1243, [ p6( c7, f3( c7 ) ) ] )
% 0.67/1.07  , clause( 8, [ p6( c7, f3( X ) ), ~( p6( c7, X ) ) ] )
% 0.67/1.07  , 1, clause( 1, [ p6( X, X ) ] )
% 0.67/1.07  , 0, substitution( 0, [ :=( X, c7 )] ), substitution( 1, [ :=( X, c7 )] )
% 0.67/1.07    ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  subsumption(
% 0.67/1.07  clause( 21, [ p6( c7, f3( c7 ) ) ] )
% 0.67/1.07  , clause( 1243, [ p6( c7, f3( c7 ) ) ] )
% 0.67/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  resolution(
% 0.67/1.07  clause( 1244, [ p6( c7, f3( f3( c7 ) ) ) ] )
% 0.67/1.07  , clause( 8, [ p6( c7, f3( X ) ), ~( p6( c7, X ) ) ] )
% 0.67/1.07  , 1, clause( 21, [ p6( c7, f3( c7 ) ) ] )
% 0.67/1.07  , 0, substitution( 0, [ :=( X, f3( c7 ) )] ), substitution( 1, [] )).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  subsumption(
% 0.67/1.07  clause( 25, [ p6( c7, f3( f3( c7 ) ) ) ] )
% 0.67/1.07  , clause( 1244, [ p6( c7, f3( f3( c7 ) ) ) ] )
% 0.67/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  resolution(
% 0.67/1.07  clause( 1245, [ p2( f3( f4( c7 ) ), f3( f4( c8 ) ) ) ] )
% 0.67/1.07  , clause( 10, [ p2( f3( X ), f3( Y ) ), ~( p2( X, Y ) ) ] )
% 0.67/1.07  , 1, clause( 3, [ p2( f4( c7 ), f4( c8 ) ) ] )
% 0.67/1.07  , 0, substitution( 0, [ :=( X, f4( c7 ) ), :=( Y, f4( c8 ) )] ), 
% 0.67/1.07    substitution( 1, [] )).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  subsumption(
% 0.67/1.07  clause( 27, [ p2( f3( f4( c7 ) ), f3( f4( c8 ) ) ) ] )
% 0.67/1.07  , clause( 1245, [ p2( f3( f4( c7 ) ), f3( f4( c8 ) ) ) ] )
% 0.67/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  resolution(
% 0.67/1.07  clause( 1247, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.67/1.07  , clause( 12, [ ~( p2( Z, X ) ), p2( X, Y ), ~( p2( Z, Y ) ) ] )
% 0.67/1.07  , 2, clause( 0, [ p2( X, X ) ] )
% 0.67/1.07  , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, X )] ), 
% 0.67/1.07    substitution( 1, [ :=( X, X )] )).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  subsumption(
% 0.67/1.07  clause( 40, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.67/1.07  , clause( 1247, [ ~( p2( X, Y ) ), p2( Y, X ) ] )
% 0.67/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.67/1.07     ), ==>( 1, 0 )] ) ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  resolution(
% 0.67/1.07  clause( 1248, [ p2( f4( c8 ), f4( c7 ) ) ] )
% 0.67/1.07  , clause( 40, [ p2( Y, X ), ~( p2( X, Y ) ) ] )
% 0.67/1.07  , 1, clause( 3, [ p2( f4( c7 ), f4( c8 ) ) ] )
% 0.67/1.07  , 0, substitution( 0, [ :=( X, f4( c7 ) ), :=( Y, f4( c8 ) )] ), 
% 0.67/1.07    substitution( 1, [] )).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  subsumption(
% 0.67/1.07  clause( 41, [ p2( f4( c8 ), f4( c7 ) ) ] )
% 0.67/1.07  , clause( 1248, [ p2( f4( c8 ), f4( c7 ) ) ] )
% 0.67/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  resolution(
% 0.67/1.07  clause( 1249, [ p5( c7, X ), ~( p5( f3( f3( c7 ) ), X ) ) ] )
% 0.67/1.07  , clause( 14, [ p5( X, Y ), ~( p5( Z, Y ) ), ~( p6( X, Z ) ) ] )
% 0.67/1.07  , 2, clause( 25, [ p6( c7, f3( f3( c7 ) ) ) ] )
% 0.67/1.07  , 0, substitution( 0, [ :=( X, c7 ), :=( Y, X ), :=( Z, f3( f3( c7 ) ) )] )
% 0.67/1.07    , substitution( 1, [] )).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  subsumption(
% 0.67/1.07  clause( 77, [ p5( c7, X ), ~( p5( f3( f3( c7 ) ), X ) ) ] )
% 0.67/1.07  , clause( 1249, [ p5( c7, X ), ~( p5( f3( f3( c7 ) ), X ) ) ] )
% 0.67/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.67/1.07    1 )] ) ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  resolution(
% 0.67/1.07  clause( 1251, [ ~( p2( X, Y ) ), ~( p6( X, f3( f4( c7 ) ) ) ), p6( Y, f3( 
% 0.67/1.07    f4( c8 ) ) ) ] )
% 0.67/1.07  , clause( 15, [ ~( p2( Z, X ) ), ~( p6( Z, T ) ), p6( X, Y ), ~( p2( T, Y )
% 0.67/1.07     ) ] )
% 0.67/1.07  , 3, clause( 27, [ p2( f3( f4( c7 ) ), f3( f4( c8 ) ) ) ] )
% 0.67/1.07  , 0, substitution( 0, [ :=( X, Y ), :=( Y, f3( f4( c8 ) ) ), :=( Z, X ), 
% 0.67/1.07    :=( T, f3( f4( c7 ) ) )] ), substitution( 1, [] )).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  subsumption(
% 0.67/1.07  clause( 94, [ p6( Y, f3( f4( c8 ) ) ), ~( p6( X, f3( f4( c7 ) ) ) ), ~( p2( 
% 0.67/1.07    X, Y ) ) ] )
% 0.67/1.07  , clause( 1251, [ ~( p2( X, Y ) ), ~( p6( X, f3( f4( c7 ) ) ) ), p6( Y, f3( 
% 0.67/1.07    f4( c8 ) ) ) ] )
% 0.67/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.67/1.07     ), ==>( 1, 1 ), ==>( 2, 0 )] ) ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  resolution(
% 0.67/1.07  clause( 1253, [ ~( p2( X, Y ) ), ~( p6( X, Z ) ), p6( Y, Z ) ] )
% 0.67/1.07  , clause( 15, [ ~( p2( Z, X ) ), ~( p6( Z, T ) ), p6( X, Y ), ~( p2( T, Y )
% 0.67/1.07     ) ] )
% 0.67/1.07  , 3, clause( 0, [ p2( X, X ) ] )
% 0.67/1.07  , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, Z )] ), 
% 0.67/1.07    substitution( 1, [ :=( X, Z )] )).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  subsumption(
% 0.67/1.07  clause( 100, [ ~( p6( X, Z ) ), p6( Y, Z ), ~( p2( X, Y ) ) ] )
% 0.67/1.07  , clause( 1253, [ ~( p2( X, Y ) ), ~( p6( X, Z ) ), p6( Y, Z ) ] )
% 0.67/1.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.67/1.07    permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  resolution(
% 0.67/1.07  clause( 1254, [ p5( c7, f3( f4( c7 ) ) ) ] )
% 0.67/1.07  , clause( 77, [ p5( c7, X ), ~( p5( f3( f3( c7 ) ), X ) ) ] )
% 0.67/1.07  , 1, clause( 6, [ p5( f3( f3( X ) ), f3( f4( X ) ) ) ] )
% 0.67/1.07  , 0, substitution( 0, [ :=( X, f3( f4( c7 ) ) )] ), substitution( 1, [ :=( 
% 0.67/1.07    X, c7 )] )).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  subsumption(
% 0.67/1.07  clause( 455, [ p5( c7, f3( f4( c7 ) ) ) ] )
% 0.67/1.07  , clause( 1254, [ p5( c7, f3( f4( c7 ) ) ) ] )
% 0.67/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  resolution(
% 0.67/1.07  clause( 1255, [ p6( f4( c7 ), f3( f4( c7 ) ) ) ] )
% 0.67/1.07  , clause( 9, [ p6( f4( X ), Y ), ~( p5( X, Y ) ) ] )
% 0.67/1.07  , 1, clause( 455, [ p5( c7, f3( f4( c7 ) ) ) ] )
% 0.67/1.07  , 0, substitution( 0, [ :=( X, c7 ), :=( Y, f3( f4( c7 ) ) )] ), 
% 0.67/1.07    substitution( 1, [] )).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  subsumption(
% 0.67/1.07  clause( 456, [ p6( f4( c7 ), f3( f4( c7 ) ) ) ] )
% 0.67/1.07  , clause( 1255, [ p6( f4( c7 ), f3( f4( c7 ) ) ) ] )
% 0.67/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  resolution(
% 0.67/1.07  clause( 1256, [ p6( f4( c8 ), f3( f4( c8 ) ) ), ~( p6( f4( c7 ), f3( f4( c7
% 0.67/1.07     ) ) ) ) ] )
% 0.67/1.07  , clause( 94, [ p6( Y, f3( f4( c8 ) ) ), ~( p6( X, f3( f4( c7 ) ) ) ), ~( 
% 0.67/1.07    p2( X, Y ) ) ] )
% 0.67/1.07  , 2, clause( 3, [ p2( f4( c7 ), f4( c8 ) ) ] )
% 0.67/1.07  , 0, substitution( 0, [ :=( X, f4( c7 ) ), :=( Y, f4( c8 ) )] ), 
% 0.67/1.07    substitution( 1, [] )).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  resolution(
% 0.67/1.07  clause( 1257, [ p6( f4( c8 ), f3( f4( c8 ) ) ) ] )
% 0.67/1.07  , clause( 1256, [ p6( f4( c8 ), f3( f4( c8 ) ) ), ~( p6( f4( c7 ), f3( f4( 
% 0.67/1.07    c7 ) ) ) ) ] )
% 0.67/1.07  , 1, clause( 456, [ p6( f4( c7 ), f3( f4( c7 ) ) ) ] )
% 0.67/1.07  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  subsumption(
% 0.67/1.07  clause( 766, [ p6( f4( c8 ), f3( f4( c8 ) ) ) ] )
% 0.67/1.07  , clause( 1257, [ p6( f4( c8 ), f3( f4( c8 ) ) ) ] )
% 0.67/1.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  resolution(
% 0.67/1.07  clause( 1258, [ ~( p6( f4( c8 ), X ) ), p6( f4( c7 ), X ) ] )
% 0.67/1.07  , clause( 100, [ ~( p6( X, Z ) ), p6( Y, Z ), ~( p2( X, Y ) ) ] )
% 0.67/1.07  , 2, clause( 41, [ p2( f4( c8 ), f4( c7 ) ) ] )
% 0.67/1.07  , 0, substitution( 0, [ :=( X, f4( c8 ) ), :=( Y, f4( c7 ) ), :=( Z, X )] )
% 0.67/1.07    , substitution( 1, [] )).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  subsumption(
% 0.67/1.07  clause( 916, [ p6( f4( c7 ), X ), ~( p6( f4( c8 ), X ) ) ] )
% 0.67/1.07  , clause( 1258, [ ~( p6( f4( c8 ), X ) ), p6( f4( c7 ), X ) ] )
% 0.67/1.07  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.67/1.07    0 )] ) ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  resolution(
% 0.67/1.07  clause( 1259, [ p6( f4( c7 ), f3( f4( c8 ) ) ) ] )
% 0.67/1.07  , clause( 916, [ p6( f4( c7 ), X ), ~( p6( f4( c8 ), X ) ) ] )
% 0.67/1.07  , 1, clause( 766, [ p6( f4( c8 ), f3( f4( c8 ) ) ) ] )
% 0.67/1.07  , 0, substitution( 0, [ :=( X, f3( f4( c8 ) ) )] ), substitution( 1, [] )
% 0.67/1.07    ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  resolution(
% 0.67/1.07  clause( 1260, [] )
% 0.67/1.07  , clause( 4, [ ~( p6( f4( c7 ), f3( f4( c8 ) ) ) ) ] )
% 0.67/1.07  , 0, clause( 1259, [ p6( f4( c7 ), f3( f4( c8 ) ) ) ] )
% 0.67/1.07  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  subsumption(
% 0.67/1.07  clause( 1218, [] )
% 0.67/1.07  , clause( 1260, [] )
% 0.67/1.07  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  end.
% 0.67/1.07  
% 0.67/1.07  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.67/1.07  
% 0.67/1.07  Memory use:
% 0.67/1.07  
% 0.67/1.07  space for terms:        13748
% 0.67/1.07  space for clauses:      64856
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  clauses generated:      1796
% 0.67/1.07  clauses kept:           1219
% 0.67/1.07  clauses selected:       323
% 0.67/1.07  clauses deleted:        0
% 0.67/1.07  clauses inuse deleted:  0
% 0.67/1.07  
% 0.67/1.07  subsentry:          1820
% 0.67/1.07  literals s-matched: 1331
% 0.67/1.07  literals matched:   1331
% 0.67/1.07  full subsumption:   4
% 0.67/1.07  
% 0.67/1.07  checksum:           1007142463
% 0.67/1.07  
% 0.67/1.07  
% 0.67/1.07  Bliksem ended
%------------------------------------------------------------------------------