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Bliksem---1.12.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWW399-1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n027.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 0.82s 1.19s
% Output   : Refutation 0.82s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem  : SWW399-1 : TPTP v8.1.0. Released v5.2.0.
% 0.09/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n027.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 : Sat Jun  4 16:20:52 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.82/1.19  *** allocated 10000 integers for termspace/termends
% 0.82/1.19  *** allocated 10000 integers for clauses
% 0.82/1.19  *** allocated 10000 integers for justifications
% 0.82/1.19  Bliksem 1.12
% 0.82/1.19  
% 0.82/1.19  
% 0.82/1.19  Automatic Strategy Selection
% 0.82/1.19  
% 0.82/1.19  Clauses:
% 0.82/1.19  [
% 0.82/1.19     [ =( sep( X, sep( Y, Z ) ), sep( Y, sep( X, Z ) ) ) ],
% 0.82/1.19     [ =( sep( lseg( X, X ), Y ), Y ) ],
% 0.82/1.19     [ ~( heap( sep( next( nil, X ), Y ) ) ) ],
% 0.82/1.19     [ ~( heap( sep( lseg( nil, X ), Y ) ) ), =( X, nil ) ],
% 0.82/1.19     [ ~( heap( sep( next( X, Y ), sep( next( X, Z ), T ) ) ) ) ],
% 0.82/1.19     [ ~( heap( sep( next( X, Y ), sep( lseg( X, Z ), T ) ) ) ), =( X, Z ) ]
% 0.82/1.19    ,
% 0.82/1.19     [ ~( heap( sep( lseg( X, Y ), sep( lseg( X, Z ), T ) ) ) ), =( X, Y ), 
% 0.82/1.19    =( X, Z ) ],
% 0.82/1.19     [ ~( heap( sep( next( X, Y ), sep( lseg( Y, Z ), T ) ) ) ), =( X, Y ), 
% 0.82/1.19    heap( sep( lseg( X, Z ), T ) ) ],
% 0.82/1.19     [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, nil ), Z ) ) ) ), heap( sep( 
% 0.82/1.19    lseg( X, nil ), Z ) ) ],
% 0.82/1.19     [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, Z ), sep( next( Z, T ), U )
% 0.82/1.19     ) ) ) ), heap( sep( lseg( X, Z ), sep( next( Z, T ), U ) ) ) ],
% 0.82/1.19     [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, Z ), sep( lseg( Z, T ), U )
% 0.82/1.19     ) ) ) ), =( Z, T ), heap( sep( lseg( X, Z ), sep( lseg( Z, T ), U ) ) )
% 0.82/1.19     ],
% 0.82/1.19     [ ~( =( nil, x1 ) ) ],
% 0.82/1.19     [ heap( sep( next( x1, nil ), emp ) ) ],
% 0.82/1.19     [ ~( heap( sep( lseg( x1, nil ), emp ) ) ) ]
% 0.82/1.19  ] .
% 0.82/1.19  
% 0.82/1.19  
% 0.82/1.19  percentage equality = 0.375000, percentage horn = 0.785714
% 0.82/1.19  This is a problem with some equality
% 0.82/1.19  
% 0.82/1.19  
% 0.82/1.19  
% 0.82/1.19  Options Used:
% 0.82/1.19  
% 0.82/1.19  useres =            1
% 0.82/1.19  useparamod =        1
% 0.82/1.19  useeqrefl =         1
% 0.82/1.19  useeqfact =         1
% 0.82/1.19  usefactor =         1
% 0.82/1.19  usesimpsplitting =  0
% 0.82/1.19  usesimpdemod =      5
% 0.82/1.19  usesimpres =        3
% 0.82/1.19  
% 0.82/1.19  resimpinuse      =  1000
% 0.82/1.19  resimpclauses =     20000
% 0.82/1.19  substype =          eqrewr
% 0.82/1.19  backwardsubs =      1
% 0.82/1.19  selectoldest =      5
% 0.82/1.19  
% 0.82/1.19  litorderings [0] =  split
% 0.82/1.19  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.82/1.19  
% 0.82/1.19  termordering =      kbo
% 0.82/1.19  
% 0.82/1.19  litapriori =        0
% 0.82/1.19  termapriori =       1
% 0.82/1.19  litaposteriori =    0
% 0.82/1.19  termaposteriori =   0
% 0.82/1.19  demodaposteriori =  0
% 0.82/1.19  ordereqreflfact =   0
% 0.82/1.19  
% 0.82/1.19  litselect =         negord
% 0.82/1.19  
% 0.82/1.19  maxweight =         15
% 0.82/1.19  maxdepth =          30000
% 0.82/1.19  maxlength =         115
% 0.82/1.19  maxnrvars =         195
% 0.82/1.19  excuselevel =       1
% 0.82/1.19  increasemaxweight = 1
% 0.82/1.19  
% 0.82/1.19  maxselected =       10000000
% 0.82/1.19  maxnrclauses =      10000000
% 0.82/1.19  
% 0.82/1.19  showgenerated =    0
% 0.82/1.19  showkept =         0
% 0.82/1.19  showselected =     0
% 0.82/1.19  showdeleted =      0
% 0.82/1.19  showresimp =       1
% 0.82/1.19  showstatus =       2000
% 0.82/1.19  
% 0.82/1.19  prologoutput =     1
% 0.82/1.19  nrgoals =          5000000
% 0.82/1.19  totalproof =       1
% 0.82/1.19  
% 0.82/1.19  Symbols occurring in the translation:
% 0.82/1.19  
% 0.82/1.19  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.82/1.19  .  [1, 2]      (w:1, o:25, a:1, s:1, b:0), 
% 0.82/1.19  !  [4, 1]      (w:0, o:19, a:1, s:1, b:0), 
% 0.82/1.19  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.82/1.19  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.82/1.19  sep  [42, 2]      (w:1, o:50, a:1, s:1, b:0), 
% 0.82/1.19  lseg  [44, 2]      (w:1, o:51, a:1, s:1, b:0), 
% 0.82/1.19  nil  [45, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.82/1.19  next  [47, 2]      (w:1, o:52, a:1, s:1, b:0), 
% 0.82/1.19  heap  [48, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.82/1.19  x1  [51, 0]      (w:1, o:17, a:1, s:1, b:0), 
% 0.82/1.19  emp  [52, 0]      (w:1, o:18, a:1, s:1, b:0).
% 0.82/1.19  
% 0.82/1.19  
% 0.82/1.19  Starting Search:
% 0.82/1.19  
% 0.82/1.19  
% 0.82/1.19  Bliksems!, er is een bewijs:
% 0.82/1.19  % SZS status Unsatisfiable
% 0.82/1.19  % SZS output start Refutation
% 0.82/1.19  
% 0.82/1.19  clause( 1, [ =( sep( lseg( X, X ), Y ), Y ) ] )
% 0.82/1.19  .
% 0.82/1.19  clause( 6, [ ~( heap( sep( lseg( X, Y ), sep( lseg( X, Z ), T ) ) ) ), =( X
% 0.82/1.19    , Y ), =( X, Z ) ] )
% 0.82/1.19  .
% 0.82/1.19  clause( 7, [ ~( heap( sep( next( X, Y ), sep( lseg( Y, Z ), T ) ) ) ), =( X
% 0.82/1.19    , Y ), heap( sep( lseg( X, Z ), T ) ) ] )
% 0.82/1.19  .
% 0.82/1.19  clause( 11, [ ~( =( x1, nil ) ) ] )
% 0.82/1.19  .
% 0.82/1.19  clause( 12, [ heap( sep( next( x1, nil ), emp ) ) ] )
% 0.82/1.19  .
% 0.82/1.19  clause( 13, [ ~( heap( sep( lseg( x1, nil ), emp ) ) ) ] )
% 0.82/1.19  .
% 0.82/1.19  clause( 14, [ ~( heap( sep( lseg( X, Y ), sep( lseg( X, Y ), Z ) ) ) ), =( 
% 0.82/1.19    X, Y ) ] )
% 0.82/1.19  .
% 0.82/1.19  clause( 275, [ ~( heap( sep( next( x1, X ), sep( lseg( X, nil ), emp ) ) )
% 0.82/1.19     ), =( x1, X ) ] )
% 0.82/1.19  .
% 0.82/1.19  clause( 767, [ ~( =( X, nil ) ), ~( heap( sep( lseg( X, x1 ), sep( lseg( X
% 0.82/1.19    , x1 ), Y ) ) ) ) ] )
% 0.82/1.19  .
% 0.82/1.19  clause( 860, [ ~( heap( X ) ) ] )
% 0.82/1.19  .
% 0.82/1.19  clause( 862, [] )
% 0.82/1.19  .
% 0.82/1.19  
% 0.82/1.19  
% 0.82/1.19  % SZS output end Refutation
% 0.82/1.19  found a proof!
% 0.82/1.19  
% 0.82/1.19  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.82/1.19  
% 0.82/1.19  initialclauses(
% 0.82/1.19  [ clause( 864, [ =( sep( X, sep( Y, Z ) ), sep( Y, sep( X, Z ) ) ) ] )
% 0.82/1.19  , clause( 865, [ =( sep( lseg( X, X ), Y ), Y ) ] )
% 0.82/1.19  , clause( 866, [ ~( heap( sep( next( nil, X ), Y ) ) ) ] )
% 0.82/1.20  , clause( 867, [ ~( heap( sep( lseg( nil, X ), Y ) ) ), =( X, nil ) ] )
% 0.82/1.20  , clause( 868, [ ~( heap( sep( next( X, Y ), sep( next( X, Z ), T ) ) ) ) ]
% 0.82/1.20     )
% 0.82/1.20  , clause( 869, [ ~( heap( sep( next( X, Y ), sep( lseg( X, Z ), T ) ) ) ), 
% 0.82/1.20    =( X, Z ) ] )
% 0.82/1.20  , clause( 870, [ ~( heap( sep( lseg( X, Y ), sep( lseg( X, Z ), T ) ) ) ), 
% 0.82/1.20    =( X, Y ), =( X, Z ) ] )
% 0.82/1.20  , clause( 871, [ ~( heap( sep( next( X, Y ), sep( lseg( Y, Z ), T ) ) ) ), 
% 0.82/1.20    =( X, Y ), heap( sep( lseg( X, Z ), T ) ) ] )
% 0.82/1.20  , clause( 872, [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, nil ), Z ) ) ) )
% 0.82/1.20    , heap( sep( lseg( X, nil ), Z ) ) ] )
% 0.82/1.20  , clause( 873, [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, Z ), sep( next( 
% 0.82/1.20    Z, T ), U ) ) ) ) ), heap( sep( lseg( X, Z ), sep( next( Z, T ), U ) ) )
% 0.82/1.20     ] )
% 0.82/1.20  , clause( 874, [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, Z ), sep( lseg( 
% 0.82/1.20    Z, T ), U ) ) ) ) ), =( Z, T ), heap( sep( lseg( X, Z ), sep( lseg( Z, T
% 0.82/1.20     ), U ) ) ) ] )
% 0.82/1.20  , clause( 875, [ ~( =( nil, x1 ) ) ] )
% 0.82/1.20  , clause( 876, [ heap( sep( next( x1, nil ), emp ) ) ] )
% 0.82/1.20  , clause( 877, [ ~( heap( sep( lseg( x1, nil ), emp ) ) ) ] )
% 0.82/1.20  ] ).
% 0.82/1.20  
% 0.82/1.20  
% 0.82/1.20  
% 0.82/1.20  subsumption(
% 0.82/1.20  clause( 1, [ =( sep( lseg( X, X ), Y ), Y ) ] )
% 0.82/1.20  , clause( 865, [ =( sep( lseg( X, X ), Y ), Y ) ] )
% 0.82/1.20  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.82/1.20     )] ) ).
% 0.82/1.20  
% 0.82/1.20  
% 0.82/1.20  subsumption(
% 0.82/1.20  clause( 6, [ ~( heap( sep( lseg( X, Y ), sep( lseg( X, Z ), T ) ) ) ), =( X
% 0.82/1.20    , Y ), =( X, Z ) ] )
% 0.82/1.20  , clause( 870, [ ~( heap( sep( lseg( X, Y ), sep( lseg( X, Z ), T ) ) ) ), 
% 0.82/1.20    =( X, Y ), =( X, Z ) ] )
% 0.82/1.20  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.82/1.20    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.82/1.20  
% 0.82/1.20  
% 0.82/1.20  subsumption(
% 0.82/1.20  clause( 7, [ ~( heap( sep( next( X, Y ), sep( lseg( Y, Z ), T ) ) ) ), =( X
% 0.82/1.20    , Y ), heap( sep( lseg( X, Z ), T ) ) ] )
% 0.82/1.20  , clause( 871, [ ~( heap( sep( next( X, Y ), sep( lseg( Y, Z ), T ) ) ) ), 
% 0.82/1.20    =( X, Y ), heap( sep( lseg( X, Z ), T ) ) ] )
% 0.82/1.20  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.82/1.20    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.82/1.20  
% 0.82/1.20  
% 0.82/1.20  eqswap(
% 0.82/1.20  clause( 906, [ ~( =( x1, nil ) ) ] )
% 0.82/1.20  , clause( 875, [ ~( =( nil, x1 ) ) ] )
% 0.82/1.20  , 0, substitution( 0, [] )).
% 0.82/1.20  
% 0.82/1.20  
% 0.82/1.20  subsumption(
% 0.82/1.20  clause( 11, [ ~( =( x1, nil ) ) ] )
% 0.82/1.20  , clause( 906, [ ~( =( x1, nil ) ) ] )
% 0.82/1.20  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.20  
% 0.82/1.20  
% 0.82/1.20  subsumption(
% 0.82/1.20  clause( 12, [ heap( sep( next( x1, nil ), emp ) ) ] )
% 0.82/1.20  , clause( 876, [ heap( sep( next( x1, nil ), emp ) ) ] )
% 0.82/1.20  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.20  
% 0.82/1.20  
% 0.82/1.20  subsumption(
% 0.82/1.20  clause( 13, [ ~( heap( sep( lseg( x1, nil ), emp ) ) ) ] )
% 0.82/1.20  , clause( 877, [ ~( heap( sep( lseg( x1, nil ), emp ) ) ) ] )
% 0.82/1.20  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.82/1.20  
% 0.82/1.20  
% 0.82/1.20  factor(
% 0.82/1.20  clause( 932, [ ~( heap( sep( lseg( X, Y ), sep( lseg( X, Y ), Z ) ) ) ), 
% 0.82/1.20    =( X, Y ) ] )
% 0.82/1.20  , clause( 6, [ ~( heap( sep( lseg( X, Y ), sep( lseg( X, Z ), T ) ) ) ), 
% 0.82/1.20    =( X, Y ), =( X, Z ) ] )
% 0.82/1.20  , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Z )] )
% 0.82/1.20    ).
% 0.82/1.20  
% 0.82/1.20  
% 0.82/1.20  subsumption(
% 0.82/1.20  clause( 14, [ ~( heap( sep( lseg( X, Y ), sep( lseg( X, Y ), Z ) ) ) ), =( 
% 0.82/1.20    X, Y ) ] )
% 0.82/1.20  , clause( 932, [ ~( heap( sep( lseg( X, Y ), sep( lseg( X, Y ), Z ) ) ) ), 
% 0.82/1.20    =( X, Y ) ] )
% 0.82/1.20  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.82/1.20    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.82/1.20  
% 0.82/1.20  
% 0.82/1.20  eqswap(
% 0.82/1.20  clause( 934, [ =( Y, X ), ~( heap( sep( next( X, Y ), sep( lseg( Y, Z ), T
% 0.82/1.20     ) ) ) ), heap( sep( lseg( X, Z ), T ) ) ] )
% 0.82/1.20  , clause( 7, [ ~( heap( sep( next( X, Y ), sep( lseg( Y, Z ), T ) ) ) ), 
% 0.82/1.20    =( X, Y ), heap( sep( lseg( X, Z ), T ) ) ] )
% 0.82/1.20  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 0.82/1.20    ).
% 0.82/1.20  
% 0.82/1.20  
% 0.82/1.20  resolution(
% 0.82/1.20  clause( 935, [ =( X, x1 ), ~( heap( sep( next( x1, X ), sep( lseg( X, nil )
% 0.82/1.20    , emp ) ) ) ) ] )
% 0.82/1.20  , clause( 13, [ ~( heap( sep( lseg( x1, nil ), emp ) ) ) ] )
% 0.82/1.20  , 0, clause( 934, [ =( Y, X ), ~( heap( sep( next( X, Y ), sep( lseg( Y, Z
% 0.82/1.20     ), T ) ) ) ), heap( sep( lseg( X, Z ), T ) ) ] )
% 0.82/1.20  , 2, substitution( 0, [] ), substitution( 1, [ :=( X, x1 ), :=( Y, X ), 
% 0.82/1.20    :=( Z, nil ), :=( T, emp )] )).
% 0.82/1.20  
% 0.82/1.20  
% 0.82/1.20  eqswap(
% 0.82/1.20  clause( 936, [ =( x1, X ), ~( heap( sep( next( x1, X ), sep( lseg( X, nil )
% 0.86/1.26    , emp ) ) ) ) ] )
% 0.86/1.26  , clause( 935, [ =( X, x1 ), ~( heap( sep( next( x1, X ), sep( lseg( X, nil
% 0.86/1.26     ), emp ) ) ) ) ] )
% 0.86/1.26  , 0, substitution( 0, [ :=( X, X )] )).
% 0.86/1.26  
% 0.86/1.26  
% 0.86/1.26  subsumption(
% 0.86/1.26  clause( 275, [ ~( heap( sep( next( x1, X ), sep( lseg( X, nil ), emp ) ) )
% 0.86/1.26     ), =( x1, X ) ] )
% 0.86/1.26  , clause( 936, [ =( x1, X ), ~( heap( sep( next( x1, X ), sep( lseg( X, nil
% 0.86/1.26     ), emp ) ) ) ) ] )
% 0.86/1.26  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.86/1.26    0 )] ) ).
% 0.86/1.26  
% 0.86/1.26  
% 0.86/1.26  eqswap(
% 0.86/1.26  clause( 937, [ =( Y, X ), ~( heap( sep( lseg( X, Y ), sep( lseg( X, Y ), Z
% 0.86/1.26     ) ) ) ) ] )
% 0.86/1.26  , clause( 14, [ ~( heap( sep( lseg( X, Y ), sep( lseg( X, Y ), Z ) ) ) ), 
% 0.86/1.26    =( X, Y ) ] )
% 0.86/1.26  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.86/1.26  
% 0.86/1.26  
% 0.86/1.26  eqswap(
% 0.86/1.26  clause( 938, [ ~( =( nil, x1 ) ) ] )
% 0.86/1.26  , clause( 11, [ ~( =( x1, nil ) ) ] )
% 0.86/1.26  , 0, substitution( 0, [] )).
% 0.86/1.26  
% 0.86/1.26  
% 0.86/1.26  paramod(
% 0.86/1.26  clause( 940, [ ~( =( nil, X ) ), ~( heap( sep( lseg( X, x1 ), sep( lseg( X
% 0.86/1.26    , x1 ), Y ) ) ) ) ] )
% 0.86/1.26  , clause( 937, [ =( Y, X ), ~( heap( sep( lseg( X, Y ), sep( lseg( X, Y ), 
% 0.86/1.26    Z ) ) ) ) ] )
% 0.86/1.26  , 0, clause( 938, [ ~( =( nil, x1 ) ) ] )
% 0.86/1.26  , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, x1 ), :=( Z, Y )] ), 
% 0.86/1.26    substitution( 1, [] )).
% 0.86/1.26  
% 0.86/1.26  
% 0.86/1.26  eqswap(
% 0.86/1.26  clause( 1236, [ ~( =( X, nil ) ), ~( heap( sep( lseg( X, x1 ), sep( lseg( X
% 0.86/1.26    , x1 ), Y ) ) ) ) ] )
% 0.86/1.26  , clause( 940, [ ~( =( nil, X ) ), ~( heap( sep( lseg( X, x1 ), sep( lseg( 
% 0.86/1.26    X, x1 ), Y ) ) ) ) ] )
% 0.86/1.26  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.86/1.26  
% 0.86/1.26  
% 0.86/1.26  subsumption(
% 0.86/1.26  clause( 767, [ ~( =( X, nil ) ), ~( heap( sep( lseg( X, x1 ), sep( lseg( X
% 0.86/1.26    , x1 ), Y ) ) ) ) ] )
% 0.86/1.26  , clause( 1236, [ ~( =( X, nil ) ), ~( heap( sep( lseg( X, x1 ), sep( lseg( 
% 0.86/1.26    X, x1 ), Y ) ) ) ) ] )
% 0.86/1.26  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.86/1.26     ), ==>( 1, 1 )] ) ).
% 0.86/1.26  
% 0.86/1.26  
% 0.86/1.26  eqswap(
% 0.86/1.26  clause( 1923, [ =( X, x1 ), ~( heap( sep( next( x1, X ), sep( lseg( X, nil
% 0.86/1.26     ), emp ) ) ) ) ] )
% 0.86/1.26  , clause( 275, [ ~( heap( sep( next( x1, X ), sep( lseg( X, nil ), emp ) )
% 0.86/1.26     ) ), =( x1, X ) ] )
% 0.86/1.26  , 1, substitution( 0, [ :=( X, X )] )).
% 0.86/1.26  
% 0.86/1.26  
% 0.86/1.26  eqswap(
% 0.86/1.26  clause( 1924, [ ~( =( nil, X ) ), ~( heap( sep( lseg( X, x1 ), sep( lseg( X
% 0.86/1.26    , x1 ), Y ) ) ) ) ] )
% 0.86/1.26  , clause( 767, [ ~( =( X, nil ) ), ~( heap( sep( lseg( X, x1 ), sep( lseg( 
% 0.86/1.26    X, x1 ), Y ) ) ) ) ] )
% 0.86/1.26  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.86/1.26  
% 0.86/1.26  
% 0.86/1.26  resolution(
% 0.86/1.26  clause( 1928, [ ~( heap( sep( lseg( x1, x1 ), sep( lseg( x1, x1 ), X ) ) )
% 0.86/1.26     ), ~( heap( sep( next( x1, nil ), sep( lseg( nil, nil ), emp ) ) ) ) ]
% 0.86/1.26     )
% 0.86/1.26  , clause( 1924, [ ~( =( nil, X ) ), ~( heap( sep( lseg( X, x1 ), sep( lseg( 
% 0.86/1.26    X, x1 ), Y ) ) ) ) ] )
% 0.86/1.26  , 0, clause( 1923, [ =( X, x1 ), ~( heap( sep( next( x1, X ), sep( lseg( X
% 0.86/1.26    , nil ), emp ) ) ) ) ] )
% 0.86/1.26  , 0, substitution( 0, [ :=( X, x1 ), :=( Y, X )] ), substitution( 1, [ :=( 
% 0.86/1.26    X, nil )] )).
% 0.86/1.26  
% 0.86/1.26  
% 0.86/1.26  paramod(
% 0.86/1.26  clause( 1930, [ ~( heap( sep( next( x1, nil ), emp ) ) ), ~( heap( sep( 
% 0.86/1.26    lseg( x1, x1 ), sep( lseg( x1, x1 ), X ) ) ) ) ] )
% 0.86/1.26  , clause( 1, [ =( sep( lseg( X, X ), Y ), Y ) ] )
% 0.86/1.26  , 0, clause( 1928, [ ~( heap( sep( lseg( x1, x1 ), sep( lseg( x1, x1 ), X )
% 0.86/1.26     ) ) ), ~( heap( sep( next( x1, nil ), sep( lseg( nil, nil ), emp ) ) ) )
% 0.86/1.26     ] )
% 0.86/1.26  , 1, 6, substitution( 0, [ :=( X, nil ), :=( Y, emp )] ), substitution( 1
% 0.86/1.26    , [ :=( X, X )] )).
% 0.86/1.26  
% 0.86/1.26  
% 0.86/1.26  paramod(
% 0.86/1.26  clause( 1936, [ ~( heap( sep( lseg( x1, x1 ), X ) ) ), ~( heap( sep( next( 
% 0.86/1.26    x1, nil ), emp ) ) ) ] )
% 0.86/1.26  , clause( 1, [ =( sep( lseg( X, X ), Y ), Y ) ] )
% 0.86/1.26  , 0, clause( 1930, [ ~( heap( sep( next( x1, nil ), emp ) ) ), ~( heap( sep( 
% 0.86/1.26    lseg( x1, x1 ), sep( lseg( x1, x1 ), X ) ) ) ) ] )
% 0.86/1.26  , 1, 2, substitution( 0, [ :=( X, x1 ), :=( Y, sep( lseg( x1, x1 ), X ) )] )
% 0.86/1.26    , substitution( 1, [ :=( X, X )] )).
% 0.86/1.26  
% 0.86/1.26  
% 0.86/1.26  paramod(
% 0.86/1.26  clause( 1939, [ ~( heap( X ) ), ~( heap( sep( next( x1, nil ), emp ) ) ) ]
% 0.86/1.26     )
% 0.86/1.26  , clause( 1, [ =( sep( lseg( X, X ), Y ), Y ) ] )
% 0.86/1.26  , 0, clause( 1936, [ ~( heap( sep( lseg( x1, x1 ), X ) ) ), ~( heap( sep( 
% 0.86/1.26    next( x1, nil ), emp ) ) ) ] )
% 0.86/1.26  , 0, 2, substitution( 0, [ :=( X, x1 ), :=( Y, X )] ), substitution( 1, [ 
% 0.86/1.26    :=( X, X )] )).
% 0.86/1.26  
% 0.86/1.26  
% 0.86/1.26  resolution(
% 0.86/1.26  clause( 1942, [ ~( heap( X ) ) ] )
% 0.86/1.26  , clause( 1939, [ ~( heap( X ) ), ~( heap( sep( next( x1, nil ), emp ) ) )
% 0.86/1.26     ] )
% 0.86/1.26  , 1, clause( 12, [ heap( sep( next( x1, nil ), emp ) ) ] )
% 0.86/1.26  , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 0.86/1.26  
% 0.86/1.26  
% 0.86/1.26  subsumption(
% 0.86/1.26  clause( 860, [ ~( heap( X ) ) ] )
% 0.86/1.26  , clause( 1942, [ ~( heap( X ) ) ] )
% 0.86/1.26  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.86/1.26  
% 0.86/1.26  
% 0.86/1.26  resolution(
% 0.86/1.26  clause( 1943, [] )
% 0.86/1.26  , clause( 860, [ ~( heap( X ) ) ] )
% 0.86/1.26  , 0, clause( 12, [ heap( sep( next( x1, nil ), emp ) ) ] )
% 0.86/1.26  , 0, substitution( 0, [ :=( X, sep( next( x1, nil ), emp ) )] ), 
% 0.86/1.26    substitution( 1, [] )).
% 0.86/1.26  
% 0.86/1.26  
% 0.86/1.26  subsumption(
% 0.86/1.26  clause( 862, [] )
% 0.86/1.26  , clause( 1943, [] )
% 0.86/1.26  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.86/1.26  
% 0.86/1.26  
% 0.86/1.26  end.
% 0.86/1.26  
% 0.86/1.26  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.86/1.26  
% 0.86/1.26  Memory use:
% 0.86/1.26  
% 0.86/1.26  space for terms:        26345
% 0.86/1.26  space for clauses:      52197
% 0.86/1.26  
% 0.86/1.26  
% 0.86/1.26  clauses generated:      25273
% 0.86/1.26  clauses kept:           863
% 0.86/1.26  clauses selected:       112
% 0.86/1.26  clauses deleted:        1
% 0.86/1.26  clauses inuse deleted:  0
% 0.86/1.26  
% 0.86/1.26  subsentry:          161861
% 0.86/1.26  literals s-matched: 12399
% 0.86/1.26  literals matched:   11441
% 0.86/1.26  full subsumption:   6543
% 0.86/1.26  
% 0.86/1.26  checksum:           497401788
% 0.86/1.26  
% 0.86/1.26  
% 0.86/1.26  Bliksem ended
%------------------------------------------------------------------------------