TSTP Solution File: SWW400-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWW400-1 : TPTP v8.1.0. Released v5.2.0.
% 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 : Wed Jul 20 23:22:03 EDT 2022

% Result   : Unsatisfiable 1.17s 1.57s
% Output   : Refutation 1.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW400-1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.12  % 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 : Sun Jun  5 10:35:18 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.17/1.57  *** allocated 10000 integers for termspace/termends
% 1.17/1.57  *** allocated 10000 integers for clauses
% 1.17/1.57  *** allocated 10000 integers for justifications
% 1.17/1.57  Bliksem 1.12
% 1.17/1.57  
% 1.17/1.57  
% 1.17/1.57  Automatic Strategy Selection
% 1.17/1.57  
% 1.17/1.57  Clauses:
% 1.17/1.57  [
% 1.17/1.57     [ =( sep( X, sep( Y, Z ) ), sep( Y, sep( X, Z ) ) ) ],
% 1.17/1.57     [ =( sep( lseg( X, X ), Y ), Y ) ],
% 1.17/1.57     [ ~( heap( sep( next( nil, X ), Y ) ) ) ],
% 1.17/1.57     [ ~( heap( sep( lseg( nil, X ), Y ) ) ), =( X, nil ) ],
% 1.17/1.57     [ ~( heap( sep( next( X, Y ), sep( next( X, Z ), T ) ) ) ) ],
% 1.17/1.57     [ ~( heap( sep( next( X, Y ), sep( lseg( X, Z ), T ) ) ) ), =( X, Z ) ]
% 1.17/1.57    ,
% 1.17/1.57     [ ~( heap( sep( lseg( X, Y ), sep( lseg( X, Z ), T ) ) ) ), =( X, Y ), 
% 1.17/1.57    =( X, Z ) ],
% 1.17/1.57     [ ~( heap( sep( next( X, Y ), sep( lseg( Y, Z ), T ) ) ) ), =( X, Y ), 
% 1.17/1.57    heap( sep( lseg( X, Z ), T ) ) ],
% 1.17/1.57     [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, nil ), Z ) ) ) ), heap( sep( 
% 1.17/1.57    lseg( X, nil ), Z ) ) ],
% 1.17/1.57     [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, Z ), sep( next( Z, T ), U )
% 1.17/1.57     ) ) ) ), heap( sep( lseg( X, Z ), sep( next( Z, T ), U ) ) ) ],
% 1.17/1.57     [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, Z ), sep( lseg( Z, T ), U )
% 1.17/1.57     ) ) ) ), =( Z, T ), heap( sep( lseg( X, Z ), sep( lseg( Z, T ), U ) ) )
% 1.17/1.57     ],
% 1.17/1.57     [ ~( =( nil, x1 ) ) ],
% 1.17/1.57     [ ~( =( nil, x2 ) ) ],
% 1.17/1.57     [ heap( sep( next( x2, nil ), sep( lseg( x1, x2 ), emp ) ) ) ],
% 1.17/1.57     [ ~( heap( sep( lseg( x1, nil ), emp ) ) ) ]
% 1.17/1.57  ] .
% 1.17/1.57  
% 1.17/1.57  
% 1.17/1.57  percentage equality = 0.400000, percentage horn = 0.800000
% 1.17/1.57  This is a problem with some equality
% 1.17/1.57  
% 1.17/1.57  
% 1.17/1.57  
% 1.17/1.57  Options Used:
% 1.17/1.57  
% 1.17/1.57  useres =            1
% 1.17/1.57  useparamod =        1
% 1.17/1.57  useeqrefl =         1
% 1.17/1.57  useeqfact =         1
% 1.17/1.57  usefactor =         1
% 1.17/1.57  usesimpsplitting =  0
% 1.17/1.57  usesimpdemod =      5
% 1.17/1.57  usesimpres =        3
% 1.17/1.57  
% 1.17/1.57  resimpinuse      =  1000
% 1.17/1.57  resimpclauses =     20000
% 1.17/1.57  substype =          eqrewr
% 1.17/1.57  backwardsubs =      1
% 1.17/1.57  selectoldest =      5
% 1.17/1.57  
% 1.17/1.57  litorderings [0] =  split
% 1.17/1.57  litorderings [1] =  extend the termordering, first sorting on arguments
% 1.17/1.57  
% 1.17/1.57  termordering =      kbo
% 1.17/1.57  
% 1.17/1.57  litapriori =        0
% 1.17/1.57  termapriori =       1
% 1.17/1.57  litaposteriori =    0
% 1.17/1.57  termaposteriori =   0
% 1.17/1.57  demodaposteriori =  0
% 1.17/1.57  ordereqreflfact =   0
% 1.17/1.57  
% 1.17/1.57  litselect =         negord
% 1.17/1.57  
% 1.17/1.57  maxweight =         15
% 1.17/1.57  maxdepth =          30000
% 1.17/1.57  maxlength =         115
% 1.17/1.57  maxnrvars =         195
% 1.17/1.57  excuselevel =       1
% 1.17/1.57  increasemaxweight = 1
% 1.17/1.57  
% 1.17/1.57  maxselected =       10000000
% 1.17/1.57  maxnrclauses =      10000000
% 1.17/1.57  
% 1.17/1.57  showgenerated =    0
% 1.17/1.57  showkept =         0
% 1.17/1.57  showselected =     0
% 1.17/1.57  showdeleted =      0
% 1.17/1.57  showresimp =       1
% 1.17/1.57  showstatus =       2000
% 1.17/1.57  
% 1.17/1.57  prologoutput =     1
% 1.17/1.57  nrgoals =          5000000
% 1.17/1.57  totalproof =       1
% 1.17/1.57  
% 1.17/1.57  Symbols occurring in the translation:
% 1.17/1.57  
% 1.17/1.57  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.17/1.57  .  [1, 2]      (w:1, o:26, a:1, s:1, b:0), 
% 1.17/1.57  !  [4, 1]      (w:0, o:20, a:1, s:1, b:0), 
% 1.17/1.57  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.17/1.57  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.17/1.57  sep  [42, 2]      (w:1, o:51, a:1, s:1, b:0), 
% 1.17/1.57  lseg  [44, 2]      (w:1, o:52, a:1, s:1, b:0), 
% 1.17/1.57  nil  [45, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 1.17/1.57  next  [47, 2]      (w:1, o:53, a:1, s:1, b:0), 
% 1.17/1.57  heap  [48, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 1.17/1.57  x1  [51, 0]      (w:1, o:17, a:1, s:1, b:0), 
% 1.17/1.57  x2  [52, 0]      (w:1, o:18, a:1, s:1, b:0), 
% 1.17/1.57  emp  [53, 0]      (w:1, o:19, a:1, s:1, b:0).
% 1.17/1.57  
% 1.17/1.57  
% 1.17/1.57  Starting Search:
% 1.17/1.57  
% 1.17/1.57  Resimplifying inuse:
% 1.17/1.57  Done
% 1.17/1.57  
% 1.17/1.57  
% 1.17/1.57  Bliksems!, er is een bewijs:
% 1.17/1.57  % SZS status Unsatisfiable
% 1.17/1.57  % SZS output start Refutation
% 1.17/1.57  
% 1.17/1.57  clause( 0, [ =( sep( X, sep( Y, Z ) ), sep( Y, sep( X, Z ) ) ) ] )
% 1.17/1.57  .
% 1.17/1.57  clause( 1, [ =( sep( lseg( X, X ), Y ), Y ) ] )
% 1.17/1.57  .
% 1.17/1.57  clause( 7, [ ~( heap( sep( next( X, Y ), sep( lseg( Y, Z ), T ) ) ) ), =( X
% 1.17/1.57    , Y ), heap( sep( lseg( X, Z ), T ) ) ] )
% 1.17/1.57  .
% 1.17/1.57  clause( 8, [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, nil ), Z ) ) ) ), 
% 1.17/1.57    heap( sep( lseg( X, nil ), Z ) ) ] )
% 1.17/1.57  .
% 1.17/1.57  clause( 12, [ ~( =( x2, nil ) ) ] )
% 1.17/1.57  .
% 1.17/1.57  clause( 13, [ heap( sep( next( x2, nil ), sep( lseg( x1, x2 ), emp ) ) ) ]
% 1.17/1.57     )
% 1.17/1.57  .
% 1.17/1.57  clause( 14, [ ~( heap( sep( lseg( x1, nil ), emp ) ) ) ] )
% 1.17/1.57  .
% 1.17/1.57  clause( 354, [ ~( heap( sep( next( Z, X ), Y ) ) ), =( Z, X ), heap( sep( 
% 1.17/1.57    lseg( Z, X ), Y ) ) ] )
% 1.17/1.57  .
% 1.17/1.57  clause( 386, [ ~( heap( sep( lseg( x1, X ), sep( lseg( X, nil ), emp ) ) )
% 1.17/1.57     ) ] )
% 1.17/1.57  .
% 1.17/1.57  clause( 448, [ ~( heap( sep( lseg( X, nil ), sep( lseg( x1, X ), emp ) ) )
% 1.17/1.57     ) ] )
% 1.17/1.57  .
% 1.17/1.57  clause( 1032, [ =( x2, nil ) ] )
% 1.17/1.57  .
% 1.17/1.57  clause( 1042, [] )
% 1.17/1.57  .
% 1.17/1.57  
% 1.17/1.57  
% 1.17/1.57  % SZS output end Refutation
% 1.17/1.57  found a proof!
% 2.05/2.44  
% 2.05/2.44  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.05/2.44  
% 2.05/2.44  initialclauses(
% 2.05/2.44  [ clause( 1044, [ =( sep( X, sep( Y, Z ) ), sep( Y, sep( X, Z ) ) ) ] )
% 2.05/2.44  , clause( 1045, [ =( sep( lseg( X, X ), Y ), Y ) ] )
% 2.05/2.44  , clause( 1046, [ ~( heap( sep( next( nil, X ), Y ) ) ) ] )
% 2.05/2.44  , clause( 1047, [ ~( heap( sep( lseg( nil, X ), Y ) ) ), =( X, nil ) ] )
% 2.05/2.44  , clause( 1048, [ ~( heap( sep( next( X, Y ), sep( next( X, Z ), T ) ) ) )
% 2.05/2.44     ] )
% 2.05/2.44  , clause( 1049, [ ~( heap( sep( next( X, Y ), sep( lseg( X, Z ), T ) ) ) )
% 2.05/2.44    , =( X, Z ) ] )
% 2.05/2.44  , clause( 1050, [ ~( heap( sep( lseg( X, Y ), sep( lseg( X, Z ), T ) ) ) )
% 2.05/2.44    , =( X, Y ), =( X, Z ) ] )
% 2.05/2.44  , clause( 1051, [ ~( heap( sep( next( X, Y ), sep( lseg( Y, Z ), T ) ) ) )
% 2.05/2.44    , =( X, Y ), heap( sep( lseg( X, Z ), T ) ) ] )
% 2.05/2.44  , clause( 1052, [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, nil ), Z ) ) )
% 2.05/2.44     ), heap( sep( lseg( X, nil ), Z ) ) ] )
% 2.05/2.44  , clause( 1053, [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, Z ), sep( next( 
% 2.05/2.44    Z, T ), U ) ) ) ) ), heap( sep( lseg( X, Z ), sep( next( Z, T ), U ) ) )
% 2.05/2.44     ] )
% 2.05/2.44  , clause( 1054, [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, Z ), sep( lseg( 
% 2.05/2.44    Z, T ), U ) ) ) ) ), =( Z, T ), heap( sep( lseg( X, Z ), sep( lseg( Z, T
% 2.05/2.44     ), U ) ) ) ] )
% 2.05/2.44  , clause( 1055, [ ~( =( nil, x1 ) ) ] )
% 2.05/2.44  , clause( 1056, [ ~( =( nil, x2 ) ) ] )
% 2.05/2.44  , clause( 1057, [ heap( sep( next( x2, nil ), sep( lseg( x1, x2 ), emp ) )
% 2.05/2.44     ) ] )
% 2.05/2.44  , clause( 1058, [ ~( heap( sep( lseg( x1, nil ), emp ) ) ) ] )
% 2.05/2.44  ] ).
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  subsumption(
% 2.05/2.44  clause( 0, [ =( sep( X, sep( Y, Z ) ), sep( Y, sep( X, Z ) ) ) ] )
% 2.05/2.44  , clause( 1044, [ =( sep( X, sep( Y, Z ) ), sep( Y, sep( X, Z ) ) ) ] )
% 2.05/2.44  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 2.05/2.44    permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  subsumption(
% 2.05/2.44  clause( 1, [ =( sep( lseg( X, X ), Y ), Y ) ] )
% 2.05/2.44  , clause( 1045, [ =( sep( lseg( X, X ), Y ), Y ) ] )
% 2.05/2.44  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.05/2.44     )] ) ).
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  subsumption(
% 2.05/2.44  clause( 7, [ ~( heap( sep( next( X, Y ), sep( lseg( Y, Z ), T ) ) ) ), =( X
% 2.05/2.44    , Y ), heap( sep( lseg( X, Z ), T ) ) ] )
% 2.05/2.44  , clause( 1051, [ ~( heap( sep( next( X, Y ), sep( lseg( Y, Z ), T ) ) ) )
% 2.05/2.44    , =( X, Y ), heap( sep( lseg( X, Z ), T ) ) ] )
% 2.05/2.44  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 2.05/2.44    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  subsumption(
% 2.05/2.44  clause( 8, [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, nil ), Z ) ) ) ), 
% 2.05/2.44    heap( sep( lseg( X, nil ), Z ) ) ] )
% 2.05/2.44  , clause( 1052, [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, nil ), Z ) ) )
% 2.05/2.44     ), heap( sep( lseg( X, nil ), Z ) ) ] )
% 2.05/2.44  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 2.05/2.44    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  eqswap(
% 2.05/2.44  clause( 1089, [ ~( =( x2, nil ) ) ] )
% 2.05/2.44  , clause( 1056, [ ~( =( nil, x2 ) ) ] )
% 2.05/2.44  , 0, substitution( 0, [] )).
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  subsumption(
% 2.05/2.44  clause( 12, [ ~( =( x2, nil ) ) ] )
% 2.05/2.44  , clause( 1089, [ ~( =( x2, nil ) ) ] )
% 2.05/2.44  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  subsumption(
% 2.05/2.44  clause( 13, [ heap( sep( next( x2, nil ), sep( lseg( x1, x2 ), emp ) ) ) ]
% 2.05/2.44     )
% 2.05/2.44  , clause( 1057, [ heap( sep( next( x2, nil ), sep( lseg( x1, x2 ), emp ) )
% 2.05/2.44     ) ] )
% 2.05/2.44  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  subsumption(
% 2.05/2.44  clause( 14, [ ~( heap( sep( lseg( x1, nil ), emp ) ) ) ] )
% 2.05/2.44  , clause( 1058, [ ~( heap( sep( lseg( x1, nil ), emp ) ) ) ] )
% 2.05/2.44  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  eqswap(
% 2.05/2.44  clause( 1115, [ =( Y, X ), ~( heap( sep( next( X, Y ), sep( lseg( Y, Z ), T
% 2.05/2.44     ) ) ) ), heap( sep( lseg( X, Z ), T ) ) ] )
% 2.05/2.44  , clause( 7, [ ~( heap( sep( next( X, Y ), sep( lseg( Y, Z ), T ) ) ) ), 
% 2.05/2.44    =( X, Y ), heap( sep( lseg( X, Z ), T ) ) ] )
% 2.05/2.44  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 2.05/2.44    ).
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  paramod(
% 2.05/2.44  clause( 7004, [ ~( heap( sep( next( X, Y ), Z ) ) ), =( Y, X ), heap( sep( 
% 2.05/2.44    lseg( X, Y ), Z ) ) ] )
% 2.05/2.44  , clause( 1, [ =( sep( lseg( X, X ), Y ), Y ) ] )
% 2.05/2.44  , 0, clause( 1115, [ =( Y, X ), ~( heap( sep( next( X, Y ), sep( lseg( Y, Z
% 2.05/2.44     ), T ) ) ) ), heap( sep( lseg( X, Z ), T ) ) ] )
% 2.05/2.44  , 1, 6, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [ 
% 2.05/2.44    :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Z )] )).
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  eqswap(
% 2.05/2.44  clause( 7006, [ =( Y, X ), ~( heap( sep( next( Y, X ), Z ) ) ), heap( sep( 
% 2.05/2.44    lseg( Y, X ), Z ) ) ] )
% 2.05/2.44  , clause( 7004, [ ~( heap( sep( next( X, Y ), Z ) ) ), =( Y, X ), heap( sep( 
% 2.05/2.44    lseg( X, Y ), Z ) ) ] )
% 2.05/2.44  , 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  subsumption(
% 2.05/2.44  clause( 354, [ ~( heap( sep( next( Z, X ), Y ) ) ), =( Z, X ), heap( sep( 
% 2.05/2.44    lseg( Z, X ), Y ) ) ] )
% 2.05/2.44  , clause( 7006, [ =( Y, X ), ~( heap( sep( next( Y, X ), Z ) ) ), heap( sep( 
% 2.05/2.44    lseg( Y, X ), Z ) ) ] )
% 2.05/2.44  , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ), 
% 2.05/2.44    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  resolution(
% 2.05/2.44  clause( 7008, [ ~( heap( sep( lseg( x1, X ), sep( lseg( X, nil ), emp ) ) )
% 2.05/2.44     ) ] )
% 2.05/2.44  , clause( 14, [ ~( heap( sep( lseg( x1, nil ), emp ) ) ) ] )
% 2.05/2.44  , 0, clause( 8, [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, nil ), Z ) ) )
% 2.05/2.44     ), heap( sep( lseg( X, nil ), Z ) ) ] )
% 2.05/2.44  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, x1 ), :=( Y, X ), 
% 2.05/2.44    :=( Z, emp )] )).
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  subsumption(
% 2.05/2.44  clause( 386, [ ~( heap( sep( lseg( x1, X ), sep( lseg( X, nil ), emp ) ) )
% 2.05/2.44     ) ] )
% 2.05/2.44  , clause( 7008, [ ~( heap( sep( lseg( x1, X ), sep( lseg( X, nil ), emp ) )
% 2.05/2.44     ) ) ] )
% 2.05/2.44  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  paramod(
% 2.05/2.44  clause( 7009, [ ~( heap( sep( lseg( X, nil ), sep( lseg( x1, X ), emp ) ) )
% 2.05/2.44     ) ] )
% 2.05/2.44  , clause( 0, [ =( sep( X, sep( Y, Z ) ), sep( Y, sep( X, Z ) ) ) ] )
% 2.05/2.44  , 0, clause( 386, [ ~( heap( sep( lseg( x1, X ), sep( lseg( X, nil ), emp )
% 2.05/2.44     ) ) ) ] )
% 2.05/2.44  , 0, 2, substitution( 0, [ :=( X, lseg( x1, X ) ), :=( Y, lseg( X, nil ) )
% 2.05/2.44    , :=( Z, emp )] ), substitution( 1, [ :=( X, X )] )).
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  subsumption(
% 2.05/2.44  clause( 448, [ ~( heap( sep( lseg( X, nil ), sep( lseg( x1, X ), emp ) ) )
% 2.05/2.44     ) ] )
% 2.05/2.44  , clause( 7009, [ ~( heap( sep( lseg( X, nil ), sep( lseg( x1, X ), emp ) )
% 2.05/2.44     ) ) ] )
% 2.05/2.44  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  eqswap(
% 2.05/2.44  clause( 7011, [ =( Y, X ), ~( heap( sep( next( X, Y ), Z ) ) ), heap( sep( 
% 2.05/2.44    lseg( X, Y ), Z ) ) ] )
% 2.05/2.44  , clause( 354, [ ~( heap( sep( next( Z, X ), Y ) ) ), =( Z, X ), heap( sep( 
% 2.05/2.44    lseg( Z, X ), Y ) ) ] )
% 2.05/2.44  , 1, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  resolution(
% 2.05/2.44  clause( 7012, [ =( nil, x2 ), heap( sep( lseg( x2, nil ), sep( lseg( x1, x2
% 2.05/2.44     ), emp ) ) ) ] )
% 2.05/2.44  , clause( 7011, [ =( Y, X ), ~( heap( sep( next( X, Y ), Z ) ) ), heap( sep( 
% 2.05/2.44    lseg( X, Y ), Z ) ) ] )
% 2.05/2.44  , 1, clause( 13, [ heap( sep( next( x2, nil ), sep( lseg( x1, x2 ), emp ) )
% 2.05/2.44     ) ] )
% 2.05/2.44  , 0, substitution( 0, [ :=( X, x2 ), :=( Y, nil ), :=( Z, sep( lseg( x1, x2
% 2.05/2.44     ), emp ) )] ), substitution( 1, [] )).
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  resolution(
% 2.05/2.44  clause( 7013, [ =( nil, x2 ) ] )
% 2.05/2.44  , clause( 448, [ ~( heap( sep( lseg( X, nil ), sep( lseg( x1, X ), emp ) )
% 2.05/2.44     ) ) ] )
% 2.05/2.44  , 0, clause( 7012, [ =( nil, x2 ), heap( sep( lseg( x2, nil ), sep( lseg( 
% 2.05/2.44    x1, x2 ), emp ) ) ) ] )
% 2.05/2.44  , 1, substitution( 0, [ :=( X, x2 )] ), substitution( 1, [] )).
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  eqswap(
% 2.05/2.44  clause( 7014, [ =( x2, nil ) ] )
% 2.05/2.44  , clause( 7013, [ =( nil, x2 ) ] )
% 2.05/2.44  , 0, substitution( 0, [] )).
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  subsumption(
% 2.05/2.44  clause( 1032, [ =( x2, nil ) ] )
% 2.05/2.44  , clause( 7014, [ =( x2, nil ) ] )
% 2.05/2.44  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  resolution(
% 2.05/2.44  clause( 7017, [] )
% 2.05/2.44  , clause( 12, [ ~( =( x2, nil ) ) ] )
% 2.05/2.44  , 0, clause( 1032, [ =( x2, nil ) ] )
% 2.05/2.44  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  subsumption(
% 2.05/2.44  clause( 1042, [] )
% 2.05/2.44  , clause( 7017, [] )
% 2.05/2.44  , substitution( 0, [] ), permutation( 0, [] ) ).
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  end.
% 2.05/2.44  
% 2.05/2.44  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.05/2.44  
% 2.05/2.44  Memory use:
% 2.05/2.44  
% 2.05/2.44  space for terms:        29681
% 2.05/2.44  space for clauses:      65065
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  clauses generated:      182131
% 2.05/2.44  clauses kept:           1043
% 2.05/2.44  clauses selected:       314
% 2.05/2.44  clauses deleted:        10
% 2.05/2.44  clauses inuse deleted:  0
% 2.05/2.44  
% 2.05/2.44  subsentry:          2692884
% 2.05/2.44  literals s-matched: 502924
% 2.05/2.44  literals matched:   173200
% 2.05/2.44  full subsumption:   164508
% 2.05/2.44  
% 2.05/2.44  checksum:           -1317366451
% 2.05/2.44  
% 2.05/2.44  
% 2.05/2.44  Bliksem ended
%------------------------------------------------------------------------------