TSTP Solution File: SYN009-4 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SYN009-4 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n007.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 02:46:41 EDT 2022

% Result   : Unsatisfiable 0.44s 1.10s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN009-4 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Tue Jul 12 08:29:48 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.44/1.09  *** allocated 10000 integers for termspace/termends
% 0.44/1.09  *** allocated 10000 integers for clauses
% 0.44/1.09  *** allocated 10000 integers for justifications
% 0.44/1.09  Bliksem 1.12
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  Automatic Strategy Selection
% 0.44/1.09  
% 0.44/1.09  Clauses:
% 0.44/1.09  [
% 0.44/1.09     [ ~( p( X, Y, Z ) ), ~( m( X, Y, Z ) ) ],
% 0.44/1.09     [ ~( q( X, Y, Z ) ), ~( m( X, Y, Z ) ) ],
% 0.44/1.09     [ ~( r( X, Y, Z ) ), ~( m( X, Y, Z ) ) ],
% 0.44/1.09     [ s( a ) ],
% 0.44/1.09     [ s( b ) ],
% 0.44/1.09     [ s( c ) ],
% 0.44/1.09     [ ~( n( c, c, c ) ) ],
% 0.44/1.09     [ ~( s( X ) ), ~( s( Y ) ), ~( s( Z ) ), p( X, Y, Z ), q( X, Y, Z ), r( 
% 0.44/1.09    X, Y, Z ) ],
% 0.44/1.09     [ ~( s( X ) ), ~( s( Y ) ), ~( s( Z ) ), m( X, Y, Z ), n( X, Y, Z ) ]
% 0.44/1.09  ] .
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  percentage equality = 0.000000, percentage horn = 0.777778
% 0.44/1.09  This a non-horn, non-equality problem
% 0.44/1.09  
% 0.44/1.09  
% 0.44/1.09  Options Used:
% 0.44/1.09  
% 0.44/1.09  useres =            1
% 0.44/1.09  useparamod =        0
% 0.44/1.09  useeqrefl =         0
% 0.44/1.09  useeqfact =         0
% 0.44/1.09  usefactor =         1
% 0.44/1.09  usesimpsplitting =  0
% 0.44/1.09  usesimpdemod =      0
% 0.44/1.09  usesimpres =        3
% 0.44/1.09  
% 0.44/1.09  resimpinuse      =  1000
% 0.44/1.09  resimpclauses =     20000
% 0.44/1.09  substype =          standard
% 0.44/1.09  backwardsubs =      1
% 0.44/1.09  selectoldest =      5
% 0.44/1.09  
% 0.44/1.09  litorderings [0] =  split
% 0.44/1.09  litorderings [1] =  liftord
% 0.44/1.10  
% 0.44/1.10  termordering =      none
% 0.44/1.10  
% 0.44/1.10  litapriori =        1
% 0.44/1.10  termapriori =       0
% 0.44/1.10  litaposteriori =    0
% 0.44/1.10  termaposteriori =   0
% 0.44/1.10  demodaposteriori =  0
% 0.44/1.10  ordereqreflfact =   0
% 0.44/1.10  
% 0.44/1.10  litselect =         none
% 0.44/1.10  
% 0.44/1.10  maxweight =         15
% 0.44/1.10  maxdepth =          30000
% 0.44/1.10  maxlength =         115
% 0.44/1.10  maxnrvars =         195
% 0.44/1.10  excuselevel =       1
% 0.44/1.10  increasemaxweight = 1
% 0.44/1.10  
% 0.44/1.10  maxselected =       10000000
% 0.44/1.10  maxnrclauses =      10000000
% 0.44/1.10  
% 0.44/1.10  showgenerated =    0
% 0.44/1.10  showkept =         0
% 0.44/1.10  showselected =     0
% 0.44/1.10  showdeleted =      0
% 0.44/1.10  showresimp =       1
% 0.44/1.10  showstatus =       2000
% 0.44/1.10  
% 0.44/1.10  prologoutput =     1
% 0.44/1.10  nrgoals =          5000000
% 0.44/1.10  totalproof =       1
% 0.44/1.10  
% 0.44/1.10  Symbols occurring in the translation:
% 0.44/1.10  
% 0.44/1.10  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.44/1.10  .  [1, 2]      (w:1, o:21, a:1, s:1, b:0), 
% 0.44/1.10  !  [4, 1]      (w:0, o:15, a:1, s:1, b:0), 
% 0.44/1.10  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.44/1.10  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.44/1.10  p  [42, 3]      (w:1, o:46, a:1, s:1, b:0), 
% 0.44/1.10  m  [43, 3]      (w:1, o:47, a:1, s:1, b:0), 
% 0.44/1.10  q  [44, 3]      (w:1, o:48, a:1, s:1, b:0), 
% 0.44/1.10  r  [45, 3]      (w:1, o:49, a:1, s:1, b:0), 
% 0.44/1.10  a  [46, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.44/1.10  s  [47, 1]      (w:1, o:20, a:1, s:1, b:0), 
% 0.44/1.10  b  [48, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.44/1.10  c  [49, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.44/1.10  n  [50, 3]      (w:1, o:50, a:1, s:1, b:0).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  Starting Search:
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  Bliksems!, er is een bewijs:
% 0.44/1.10  % SZS status Unsatisfiable
% 0.44/1.10  % SZS output start Refutation
% 0.44/1.10  
% 0.44/1.10  clause( 0, [ ~( p( X, Y, Z ) ), ~( m( X, Y, Z ) ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 1, [ ~( m( X, Y, Z ) ), ~( q( X, Y, Z ) ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 2, [ ~( m( X, Y, Z ) ), ~( r( X, Y, Z ) ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 5, [ s( c ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 6, [ ~( n( c, c, c ) ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 7, [ ~( s( X ) ), ~( s( Y ) ), ~( s( Z ) ), p( X, Y, Z ), q( X, Y, 
% 0.44/1.10    Z ), r( X, Y, Z ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 8, [ ~( s( X ) ), ~( s( Y ) ), ~( s( Z ) ), m( X, Y, Z ), n( X, Y, 
% 0.44/1.10    Z ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 15, [ ~( s( X ) ), ~( s( Y ) ), m( X, Y, Y ), n( X, Y, Y ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 16, [ ~( s( X ) ), m( X, X, X ), n( X, X, X ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 17, [ m( c, c, c ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 19, [ ~( s( X ) ), ~( s( Y ) ), ~( s( Z ) ), ~( m( X, Y, Z ) ), q( 
% 0.44/1.10    X, Y, Z ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 22, [ ~( s( X ) ), ~( s( Y ) ), ~( m( X, Y, Y ) ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 23, [ ~( s( X ) ), ~( m( X, X, X ) ) ] )
% 0.44/1.10  .
% 0.44/1.10  clause( 24, [] )
% 0.44/1.10  .
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  % SZS output end Refutation
% 0.44/1.10  found a proof!
% 0.44/1.10  
% 0.44/1.10  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.10  
% 0.44/1.10  initialclauses(
% 0.44/1.10  [ clause( 26, [ ~( p( X, Y, Z ) ), ~( m( X, Y, Z ) ) ] )
% 0.44/1.10  , clause( 27, [ ~( q( X, Y, Z ) ), ~( m( X, Y, Z ) ) ] )
% 0.44/1.10  , clause( 28, [ ~( r( X, Y, Z ) ), ~( m( X, Y, Z ) ) ] )
% 0.44/1.10  , clause( 29, [ s( a ) ] )
% 0.44/1.10  , clause( 30, [ s( b ) ] )
% 0.44/1.10  , clause( 31, [ s( c ) ] )
% 0.44/1.10  , clause( 32, [ ~( n( c, c, c ) ) ] )
% 0.44/1.10  , clause( 33, [ ~( s( X ) ), ~( s( Y ) ), ~( s( Z ) ), p( X, Y, Z ), q( X, 
% 0.44/1.10    Y, Z ), r( X, Y, Z ) ] )
% 0.44/1.10  , clause( 34, [ ~( s( X ) ), ~( s( Y ) ), ~( s( Z ) ), m( X, Y, Z ), n( X, 
% 0.44/1.10    Y, Z ) ] )
% 0.44/1.10  ] ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 0, [ ~( p( X, Y, Z ) ), ~( m( X, Y, Z ) ) ] )
% 0.44/1.10  , clause( 26, [ ~( p( X, Y, Z ) ), ~( m( X, Y, Z ) ) ] )
% 0.44/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.44/1.10    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 1, [ ~( m( X, Y, Z ) ), ~( q( X, Y, Z ) ) ] )
% 0.44/1.10  , clause( 27, [ ~( q( X, Y, Z ) ), ~( m( X, Y, Z ) ) ] )
% 0.44/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.44/1.10    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 2, [ ~( m( X, Y, Z ) ), ~( r( X, Y, Z ) ) ] )
% 0.44/1.10  , clause( 28, [ ~( r( X, Y, Z ) ), ~( m( X, Y, Z ) ) ] )
% 0.44/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.44/1.10    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 5, [ s( c ) ] )
% 0.44/1.10  , clause( 31, [ s( c ) ] )
% 0.44/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 6, [ ~( n( c, c, c ) ) ] )
% 0.44/1.10  , clause( 32, [ ~( n( c, c, c ) ) ] )
% 0.44/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 7, [ ~( s( X ) ), ~( s( Y ) ), ~( s( Z ) ), p( X, Y, Z ), q( X, Y, 
% 0.44/1.10    Z ), r( X, Y, Z ) ] )
% 0.44/1.10  , clause( 33, [ ~( s( X ) ), ~( s( Y ) ), ~( s( Z ) ), p( X, Y, Z ), q( X, 
% 0.44/1.10    Y, Z ), r( X, Y, Z ) ] )
% 0.44/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.44/1.10    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), 
% 0.44/1.10    ==>( 4, 4 ), ==>( 5, 5 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 8, [ ~( s( X ) ), ~( s( Y ) ), ~( s( Z ) ), m( X, Y, Z ), n( X, Y, 
% 0.44/1.10    Z ) ] )
% 0.44/1.10  , clause( 34, [ ~( s( X ) ), ~( s( Y ) ), ~( s( Z ) ), m( X, Y, Z ), n( X, 
% 0.44/1.10    Y, Z ) ] )
% 0.44/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.44/1.10    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), 
% 0.44/1.10    ==>( 4, 4 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  factor(
% 0.44/1.10  clause( 49, [ ~( s( X ) ), ~( s( Y ) ), m( X, Y, Y ), n( X, Y, Y ) ] )
% 0.44/1.10  , clause( 8, [ ~( s( X ) ), ~( s( Y ) ), ~( s( Z ) ), m( X, Y, Z ), n( X, Y
% 0.44/1.10    , Z ) ] )
% 0.44/1.10  , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 15, [ ~( s( X ) ), ~( s( Y ) ), m( X, Y, Y ), n( X, Y, Y ) ] )
% 0.44/1.10  , clause( 49, [ ~( s( X ) ), ~( s( Y ) ), m( X, Y, Y ), n( X, Y, Y ) ] )
% 0.44/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.10     ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  factor(
% 0.44/1.10  clause( 51, [ ~( s( X ) ), m( X, X, X ), n( X, X, X ) ] )
% 0.44/1.10  , clause( 15, [ ~( s( X ) ), ~( s( Y ) ), m( X, Y, Y ), n( X, Y, Y ) ] )
% 0.44/1.10  , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 16, [ ~( s( X ) ), m( X, X, X ), n( X, X, X ) ] )
% 0.44/1.10  , clause( 51, [ ~( s( X ) ), m( X, X, X ), n( X, X, X ) ] )
% 0.44/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.44/1.10    1 ), ==>( 2, 2 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 52, [ ~( s( c ) ), m( c, c, c ) ] )
% 0.44/1.10  , clause( 6, [ ~( n( c, c, c ) ) ] )
% 0.44/1.10  , 0, clause( 16, [ ~( s( X ) ), m( X, X, X ), n( X, X, X ) ] )
% 0.44/1.10  , 2, substitution( 0, [] ), substitution( 1, [ :=( X, c )] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 53, [ m( c, c, c ) ] )
% 0.44/1.10  , clause( 52, [ ~( s( c ) ), m( c, c, c ) ] )
% 0.44/1.10  , 0, clause( 5, [ s( c ) ] )
% 0.44/1.10  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 17, [ m( c, c, c ) ] )
% 0.44/1.10  , clause( 53, [ m( c, c, c ) ] )
% 0.44/1.10  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 54, [ ~( m( X, Y, Z ) ), ~( s( X ) ), ~( s( Y ) ), ~( s( Z ) ), p( 
% 0.44/1.10    X, Y, Z ), q( X, Y, Z ) ] )
% 0.44/1.10  , clause( 2, [ ~( m( X, Y, Z ) ), ~( r( X, Y, Z ) ) ] )
% 0.44/1.10  , 1, clause( 7, [ ~( s( X ) ), ~( s( Y ) ), ~( s( Z ) ), p( X, Y, Z ), q( X
% 0.44/1.10    , Y, Z ), r( X, Y, Z ) ] )
% 0.44/1.10  , 5, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.44/1.10    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 70, [ ~( m( X, Y, Z ) ), ~( m( X, Y, Z ) ), ~( s( X ) ), ~( s( Y )
% 0.44/1.10     ), ~( s( Z ) ), q( X, Y, Z ) ] )
% 0.44/1.10  , clause( 0, [ ~( p( X, Y, Z ) ), ~( m( X, Y, Z ) ) ] )
% 0.44/1.10  , 0, clause( 54, [ ~( m( X, Y, Z ) ), ~( s( X ) ), ~( s( Y ) ), ~( s( Z ) )
% 0.44/1.10    , p( X, Y, Z ), q( X, Y, Z ) ] )
% 0.44/1.10  , 4, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.44/1.10    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  factor(
% 0.44/1.10  clause( 71, [ ~( m( X, Y, Z ) ), ~( s( X ) ), ~( s( Y ) ), ~( s( Z ) ), q( 
% 0.44/1.10    X, Y, Z ) ] )
% 0.44/1.10  , clause( 70, [ ~( m( X, Y, Z ) ), ~( m( X, Y, Z ) ), ~( s( X ) ), ~( s( Y
% 0.44/1.10     ) ), ~( s( Z ) ), q( X, Y, Z ) ] )
% 0.44/1.10  , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 19, [ ~( s( X ) ), ~( s( Y ) ), ~( s( Z ) ), ~( m( X, Y, Z ) ), q( 
% 0.44/1.10    X, Y, Z ) ] )
% 0.44/1.10  , clause( 71, [ ~( m( X, Y, Z ) ), ~( s( X ) ), ~( s( Y ) ), ~( s( Z ) ), q( 
% 0.44/1.10    X, Y, Z ) ] )
% 0.44/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.44/1.10    permutation( 0, [ ==>( 0, 3 ), ==>( 1, 0 ), ==>( 2, 1 ), ==>( 3, 2 ), 
% 0.44/1.10    ==>( 4, 4 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  factor(
% 0.44/1.10  clause( 78, [ ~( s( X ) ), ~( s( Y ) ), ~( m( X, Y, Y ) ), q( X, Y, Y ) ]
% 0.44/1.10     )
% 0.44/1.10  , clause( 19, [ ~( s( X ) ), ~( s( Y ) ), ~( s( Z ) ), ~( m( X, Y, Z ) ), q( 
% 0.44/1.10    X, Y, Z ) ] )
% 0.44/1.10  , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 88, [ ~( m( X, Y, Y ) ), ~( s( X ) ), ~( s( Y ) ), ~( m( X, Y, Y )
% 0.44/1.10     ) ] )
% 0.44/1.10  , clause( 1, [ ~( m( X, Y, Z ) ), ~( q( X, Y, Z ) ) ] )
% 0.44/1.10  , 1, clause( 78, [ ~( s( X ) ), ~( s( Y ) ), ~( m( X, Y, Y ) ), q( X, Y, Y
% 0.44/1.10     ) ] )
% 0.44/1.10  , 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] ), 
% 0.44/1.10    substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  factor(
% 0.44/1.10  clause( 89, [ ~( m( X, Y, Y ) ), ~( s( X ) ), ~( s( Y ) ) ] )
% 0.44/1.10  , clause( 88, [ ~( m( X, Y, Y ) ), ~( s( X ) ), ~( s( Y ) ), ~( m( X, Y, Y
% 0.44/1.10     ) ) ] )
% 0.44/1.10  , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 22, [ ~( s( X ) ), ~( s( Y ) ), ~( m( X, Y, Y ) ) ] )
% 0.44/1.10  , clause( 89, [ ~( m( X, Y, Y ) ), ~( s( X ) ), ~( s( Y ) ) ] )
% 0.44/1.10  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 2
% 0.44/1.10     ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  factor(
% 0.44/1.10  clause( 91, [ ~( s( X ) ), ~( m( X, X, X ) ) ] )
% 0.44/1.10  , clause( 22, [ ~( s( X ) ), ~( s( Y ) ), ~( m( X, Y, Y ) ) ] )
% 0.44/1.10  , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 23, [ ~( s( X ) ), ~( m( X, X, X ) ) ] )
% 0.44/1.10  , clause( 91, [ ~( s( X ) ), ~( m( X, X, X ) ) ] )
% 0.44/1.10  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.44/1.10    1 )] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 92, [ ~( s( c ) ) ] )
% 0.44/1.10  , clause( 23, [ ~( s( X ) ), ~( m( X, X, X ) ) ] )
% 0.44/1.10  , 1, clause( 17, [ m( c, c, c ) ] )
% 0.44/1.10  , 0, substitution( 0, [ :=( X, c )] ), substitution( 1, [] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  resolution(
% 0.44/1.10  clause( 93, [] )
% 0.44/1.10  , clause( 92, [ ~( s( c ) ) ] )
% 0.44/1.10  , 0, clause( 5, [ s( c ) ] )
% 0.44/1.10  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  subsumption(
% 0.44/1.10  clause( 24, [] )
% 0.44/1.10  , clause( 93, [] )
% 0.44/1.10  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  end.
% 0.44/1.10  
% 0.44/1.10  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.10  
% 0.44/1.10  Memory use:
% 0.44/1.10  
% 0.44/1.10  space for terms:        494
% 0.44/1.10  space for clauses:      1257
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  clauses generated:      31
% 0.44/1.10  clauses kept:           25
% 0.44/1.10  clauses selected:       12
% 0.44/1.10  clauses deleted:        0
% 0.44/1.10  clauses inuse deleted:  0
% 0.44/1.10  
% 0.44/1.10  subsentry:          98
% 0.44/1.10  literals s-matched: 50
% 0.44/1.10  literals matched:   29
% 0.44/1.10  full subsumption:   3
% 0.44/1.10  
% 0.44/1.10  checksum:           11485427
% 0.44/1.10  
% 0.44/1.10  
% 0.44/1.10  Bliksem ended
%------------------------------------------------------------------------------