TSTP Solution File: SWW410-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWW410-1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n019.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 23:22:04 EDT 2022

% Result   : Unsatisfiable 8.45s 8.86s
% Output   : Refutation 8.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWW410-1 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Sun Jun  5 13:10:40 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 8.45/8.86  *** allocated 10000 integers for termspace/termends
% 8.45/8.86  *** allocated 10000 integers for clauses
% 8.45/8.86  *** allocated 10000 integers for justifications
% 8.45/8.86  Bliksem 1.12
% 8.45/8.86  
% 8.45/8.86  
% 8.45/8.86  Automatic Strategy Selection
% 8.45/8.86  
% 8.45/8.86  Clauses:
% 8.45/8.86  [
% 8.45/8.86     [ =( sep( X, sep( Y, Z ) ), sep( Y, sep( X, Z ) ) ) ],
% 8.45/8.86     [ =( sep( lseg( X, X ), Y ), Y ) ],
% 8.45/8.86     [ ~( heap( sep( next( nil, X ), Y ) ) ) ],
% 8.45/8.86     [ ~( heap( sep( lseg( nil, X ), Y ) ) ), =( X, nil ) ],
% 8.45/8.86     [ ~( heap( sep( next( X, Y ), sep( next( X, Z ), T ) ) ) ) ],
% 8.45/8.86     [ ~( heap( sep( next( X, Y ), sep( lseg( X, Z ), T ) ) ) ), =( X, Z ) ]
% 8.45/8.86    ,
% 8.45/8.86     [ ~( heap( sep( lseg( X, Y ), sep( lseg( X, Z ), T ) ) ) ), =( X, Y ), 
% 8.45/8.86    =( X, Z ) ],
% 8.45/8.86     [ ~( heap( sep( next( X, Y ), sep( lseg( Y, Z ), T ) ) ) ), =( X, Y ), 
% 8.45/8.86    heap( sep( lseg( X, Z ), T ) ) ],
% 8.45/8.86     [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, nil ), Z ) ) ) ), heap( sep( 
% 8.45/8.86    lseg( X, nil ), Z ) ) ],
% 8.45/8.86     [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, Z ), sep( next( Z, T ), U )
% 8.45/8.86     ) ) ) ), heap( sep( lseg( X, Z ), sep( next( Z, T ), U ) ) ) ],
% 8.45/8.86     [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, Z ), sep( lseg( Z, T ), U )
% 8.45/8.86     ) ) ) ), =( Z, T ), heap( sep( lseg( X, Z ), sep( lseg( Z, T ), U ) ) )
% 8.45/8.86     ],
% 8.45/8.86     [ ~( =( nil, x1 ) ) ],
% 8.45/8.86     [ ~( =( nil, x2 ) ) ],
% 8.45/8.86     [ ~( =( x1, x3 ) ) ],
% 8.45/8.86     [ ~( =( x3, x2 ) ) ],
% 8.45/8.86     [ heap( sep( lseg( x2, x1 ), sep( lseg( x3, nil ), sep( next( x1, x3 ), 
% 8.45/8.86    emp ) ) ) ) ],
% 8.45/8.86     [ ~( heap( sep( lseg( x3, nil ), sep( lseg( x2, x3 ), emp ) ) ) ) ]
% 8.45/8.86  ] .
% 8.45/8.86  
% 8.45/8.86  
% 8.45/8.86  percentage equality = 0.444444, percentage horn = 0.823529
% 8.45/8.86  This is a problem with some equality
% 8.45/8.86  
% 8.45/8.86  
% 8.45/8.86  
% 8.45/8.86  Options Used:
% 8.45/8.86  
% 8.45/8.86  useres =            1
% 8.45/8.86  useparamod =        1
% 8.45/8.86  useeqrefl =         1
% 8.45/8.86  useeqfact =         1
% 8.45/8.86  usefactor =         1
% 8.45/8.86  usesimpsplitting =  0
% 8.45/8.86  usesimpdemod =      5
% 8.45/8.86  usesimpres =        3
% 8.45/8.86  
% 8.45/8.86  resimpinuse      =  1000
% 8.45/8.86  resimpclauses =     20000
% 8.45/8.86  substype =          eqrewr
% 8.45/8.86  backwardsubs =      1
% 8.45/8.86  selectoldest =      5
% 8.45/8.86  
% 8.45/8.86  litorderings [0] =  split
% 8.45/8.86  litorderings [1] =  extend the termordering, first sorting on arguments
% 8.45/8.86  
% 8.45/8.86  termordering =      kbo
% 8.45/8.86  
% 8.45/8.86  litapriori =        0
% 8.45/8.86  termapriori =       1
% 8.45/8.86  litaposteriori =    0
% 8.45/8.86  termaposteriori =   0
% 8.45/8.86  demodaposteriori =  0
% 8.45/8.86  ordereqreflfact =   0
% 8.45/8.86  
% 8.45/8.86  litselect =         negord
% 8.45/8.86  
% 8.45/8.86  maxweight =         15
% 8.45/8.86  maxdepth =          30000
% 8.45/8.86  maxlength =         115
% 8.45/8.86  maxnrvars =         195
% 8.45/8.86  excuselevel =       1
% 8.45/8.86  increasemaxweight = 1
% 8.45/8.86  
% 8.45/8.86  maxselected =       10000000
% 8.45/8.86  maxnrclauses =      10000000
% 8.45/8.86  
% 8.45/8.86  showgenerated =    0
% 8.45/8.86  showkept =         0
% 8.45/8.86  showselected =     0
% 8.45/8.86  showdeleted =      0
% 8.45/8.86  showresimp =       1
% 8.45/8.86  showstatus =       2000
% 8.45/8.86  
% 8.45/8.86  prologoutput =     1
% 8.45/8.86  nrgoals =          5000000
% 8.45/8.86  totalproof =       1
% 8.45/8.86  
% 8.45/8.86  Symbols occurring in the translation:
% 8.45/8.86  
% 8.45/8.86  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 8.45/8.86  .  [1, 2]      (w:1, o:27, a:1, s:1, b:0), 
% 8.45/8.86  !  [4, 1]      (w:0, o:21, a:1, s:1, b:0), 
% 8.45/8.86  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 8.45/8.86  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 8.45/8.86  sep  [42, 2]      (w:1, o:52, a:1, s:1, b:0), 
% 8.45/8.86  lseg  [44, 2]      (w:1, o:53, a:1, s:1, b:0), 
% 8.45/8.86  nil  [45, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 8.45/8.86  next  [47, 2]      (w:1, o:54, a:1, s:1, b:0), 
% 8.45/8.86  heap  [48, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 8.45/8.86  x1  [51, 0]      (w:1, o:17, a:1, s:1, b:0), 
% 8.45/8.86  x2  [52, 0]      (w:1, o:18, a:1, s:1, b:0), 
% 8.45/8.86  x3  [53, 0]      (w:1, o:19, a:1, s:1, b:0), 
% 8.45/8.86  emp  [54, 0]      (w:1, o:20, a:1, s:1, b:0).
% 8.45/8.86  
% 8.45/8.86  
% 8.45/8.86  Starting Search:
% 8.45/8.86  
% 8.45/8.86  Resimplifying inuse:
% 8.45/8.86  Done
% 8.45/8.86  
% 8.45/8.86  
% 8.45/8.86  Bliksems!, er is een bewijs:
% 8.45/8.86  % SZS status Unsatisfiable
% 8.45/8.86  % SZS output start Refutation
% 8.45/8.86  
% 8.45/8.86  clause( 0, [ =( sep( X, sep( Y, Z ) ), sep( Y, sep( X, Z ) ) ) ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 1, [ =( sep( lseg( X, X ), Y ), Y ) ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 3, [ ~( heap( sep( lseg( nil, X ), Y ) ) ), =( X, nil ) ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 7, [ ~( heap( sep( next( X, Y ), sep( lseg( Y, Z ), T ) ) ) ), =( X
% 8.45/8.86    , Y ), heap( sep( lseg( X, Z ), T ) ) ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 8, [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, nil ), Z ) ) ) ), 
% 8.45/8.86    heap( sep( lseg( X, nil ), Z ) ) ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 10, [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, Z ), sep( lseg( Z, 
% 8.45/8.86    T ), U ) ) ) ) ), =( Z, T ), heap( sep( lseg( X, Z ), sep( lseg( Z, T ), 
% 8.45/8.86    U ) ) ) ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 13, [ ~( =( x3, x1 ) ) ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 15, [ heap( sep( lseg( x2, x1 ), sep( lseg( x3, nil ), sep( next( 
% 8.45/8.86    x1, x3 ), emp ) ) ) ) ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 16, [ ~( heap( sep( lseg( x3, nil ), sep( lseg( x2, x3 ), emp ) ) )
% 8.45/8.86     ) ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 20, [ =( sep( T, sep( Y, sep( X, Z ) ) ), sep( X, sep( T, sep( Y, Z
% 8.45/8.86     ) ) ) ) ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 340, [ ~( heap( sep( next( Z, X ), Y ) ) ), =( Z, X ), heap( sep( 
% 8.45/8.86    lseg( Z, X ), Y ) ) ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 792, [ ~( heap( sep( lseg( nil, x3 ), X ) ) ), ~( heap( sep( lseg( 
% 8.45/8.86    x2, nil ), emp ) ) ) ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 797, [ ~( heap( sep( lseg( x2, x3 ), sep( lseg( x3, nil ), emp ) )
% 8.45/8.86     ) ) ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 985, [ heap( sep( next( x1, x3 ), sep( lseg( x2, x1 ), sep( lseg( 
% 8.45/8.86    x3, nil ), emp ) ) ) ) ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 1313, [ heap( sep( next( x1, x3 ), sep( lseg( x3, nil ), sep( lseg( 
% 8.45/8.86    x2, x1 ), emp ) ) ) ) ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 1314, [ =( x3, x1 ), heap( sep( lseg( x1, nil ), sep( lseg( x2, x1
% 8.45/8.86     ), emp ) ) ) ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 1315, [ heap( sep( lseg( x1, nil ), sep( lseg( x2, x1 ), emp ) ) )
% 8.45/8.86     ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 1316, [ heap( sep( lseg( x2, x1 ), sep( lseg( x1, nil ), emp ) ) )
% 8.45/8.86     ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 1317, [ heap( sep( lseg( x2, nil ), emp ) ) ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 1321, [ ~( heap( sep( lseg( nil, x3 ), X ) ) ) ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 1341, [ ~( heap( sep( X, sep( Y, sep( lseg( nil, x3 ), Z ) ) ) ) )
% 8.45/8.86     ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 1427, [ ~( =( X, x1 ) ), ~( heap( sep( next( X, x3 ), Y ) ) ), heap( 
% 8.45/8.86    sep( lseg( X, x3 ), Y ) ) ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 1432, [ ~( heap( sep( next( x1, x3 ), X ) ) ), heap( sep( lseg( x1
% 8.45/8.86    , x3 ), X ) ) ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 1452, [ heap( sep( lseg( x1, x3 ), sep( lseg( x3, nil ), sep( lseg( 
% 8.45/8.86    x2, x1 ), emp ) ) ) ) ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 1531, [ heap( sep( lseg( x2, x1 ), sep( lseg( x1, x3 ), sep( lseg( 
% 8.45/8.86    x3, nil ), emp ) ) ) ) ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 1591, [ =( x3, nil ) ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 1622, [ ~( heap( sep( X, sep( Y, Z ) ) ) ) ] )
% 8.45/8.86  .
% 8.45/8.86  clause( 1625, [] )
% 8.45/8.86  .
% 8.45/8.86  
% 8.45/8.86  
% 8.45/8.86  % SZS output end Refutation
% 8.45/8.86  found a proof!
% 8.45/8.86  
% 8.45/8.86  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 8.45/8.86  
% 8.45/8.86  initialclauses(
% 8.45/8.86  [ clause( 1627, [ =( sep( X, sep( Y, Z ) ), sep( Y, sep( X, Z ) ) ) ] )
% 8.45/8.86  , clause( 1628, [ =( sep( lseg( X, X ), Y ), Y ) ] )
% 8.45/8.86  , clause( 1629, [ ~( heap( sep( next( nil, X ), Y ) ) ) ] )
% 8.45/8.86  , clause( 1630, [ ~( heap( sep( lseg( nil, X ), Y ) ) ), =( X, nil ) ] )
% 8.45/8.86  , clause( 1631, [ ~( heap( sep( next( X, Y ), sep( next( X, Z ), T ) ) ) )
% 8.45/8.86     ] )
% 8.45/8.86  , clause( 1632, [ ~( heap( sep( next( X, Y ), sep( lseg( X, Z ), T ) ) ) )
% 8.45/8.86    , =( X, Z ) ] )
% 8.45/8.86  , clause( 1633, [ ~( heap( sep( lseg( X, Y ), sep( lseg( X, Z ), T ) ) ) )
% 8.45/8.86    , =( X, Y ), =( X, Z ) ] )
% 8.45/8.86  , clause( 1634, [ ~( heap( sep( next( X, Y ), sep( lseg( Y, Z ), T ) ) ) )
% 8.45/8.86    , =( X, Y ), heap( sep( lseg( X, Z ), T ) ) ] )
% 8.45/8.86  , clause( 1635, [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, nil ), Z ) ) )
% 8.45/8.86     ), heap( sep( lseg( X, nil ), Z ) ) ] )
% 8.45/8.86  , clause( 1636, [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, Z ), sep( next( 
% 8.45/8.86    Z, T ), U ) ) ) ) ), heap( sep( lseg( X, Z ), sep( next( Z, T ), U ) ) )
% 8.45/8.86     ] )
% 8.45/8.86  , clause( 1637, [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, Z ), sep( lseg( 
% 8.45/8.86    Z, T ), U ) ) ) ) ), =( Z, T ), heap( sep( lseg( X, Z ), sep( lseg( Z, T
% 8.45/8.86     ), U ) ) ) ] )
% 8.45/8.86  , clause( 1638, [ ~( =( nil, x1 ) ) ] )
% 8.45/8.86  , clause( 1639, [ ~( =( nil, x2 ) ) ] )
% 8.45/8.86  , clause( 1640, [ ~( =( x1, x3 ) ) ] )
% 8.45/8.86  , clause( 1641, [ ~( =( x3, x2 ) ) ] )
% 8.45/8.86  , clause( 1642, [ heap( sep( lseg( x2, x1 ), sep( lseg( x3, nil ), sep( 
% 8.45/8.86    next( x1, x3 ), emp ) ) ) ) ] )
% 8.45/8.86  , clause( 1643, [ ~( heap( sep( lseg( x3, nil ), sep( lseg( x2, x3 ), emp )
% 8.45/8.86     ) ) ) ] )
% 8.45/8.86  ] ).
% 8.45/8.86  
% 8.45/8.86  
% 8.45/8.86  
% 8.45/8.86  subsumption(
% 8.45/8.86  clause( 0, [ =( sep( X, sep( Y, Z ) ), sep( Y, sep( X, Z ) ) ) ] )
% 8.45/8.86  , clause( 1627, [ =( sep( X, sep( Y, Z ) ), sep( Y, sep( X, Z ) ) ) ] )
% 8.45/8.86  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 8.45/8.86    permutation( 0, [ ==>( 0, 0 )] ) ).
% 8.45/8.86  
% 8.45/8.86  
% 8.45/8.86  subsumption(
% 8.45/8.86  clause( 1, [ =( sep( lseg( X, X ), Y ), Y ) ] )
% 8.45/8.86  , clause( 1628, [ =( sep( lseg( X, X ), Y ), Y ) ] )
% 8.45/8.86  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 8.45/8.86     )] ) ).
% 8.45/8.86  
% 8.45/8.86  
% 8.45/8.86  subsumption(
% 8.45/8.86  clause( 3, [ ~( heap( sep( lseg( nil, X ), Y ) ) ), =( X, nil ) ] )
% 8.45/8.86  , clause( 1630, [ ~( heap( sep( lseg( nil, X ), Y ) ) ), =( X, nil ) ] )
% 8.45/8.86  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 8.45/8.86     ), ==>( 1, 1 )] ) ).
% 8.45/8.86  
% 8.45/8.86  
% 8.45/8.86  subsumption(
% 8.45/8.86  clause( 7, [ ~( heap( sep( next( X, Y ), sep( lseg( Y, Z ), T ) ) ) ), =( X
% 8.45/8.86    , Y ), heap( sep( lseg( X, Z ), T ) ) ] )
% 8.45/8.86  , clause( 1634, [ ~( heap( sep( next( X, Y ), sep( lseg( Y, Z ), T ) ) ) )
% 12.27/12.65    , =( X, Y ), heap( sep( lseg( X, Z ), T ) ) ] )
% 12.27/12.65  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 12.27/12.65    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 12.27/12.65  
% 12.27/12.65  
% 12.27/12.65  subsumption(
% 12.27/12.65  clause( 8, [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, nil ), Z ) ) ) ), 
% 12.27/12.65    heap( sep( lseg( X, nil ), Z ) ) ] )
% 12.27/12.65  , clause( 1635, [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, nil ), Z ) ) )
% 12.27/12.65     ), heap( sep( lseg( X, nil ), Z ) ) ] )
% 12.27/12.65  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 12.27/12.65    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 12.27/12.65  
% 12.27/12.65  
% 12.27/12.65  subsumption(
% 12.27/12.65  clause( 10, [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, Z ), sep( lseg( Z, 
% 12.27/12.65    T ), U ) ) ) ) ), =( Z, T ), heap( sep( lseg( X, Z ), sep( lseg( Z, T ), 
% 12.27/12.65    U ) ) ) ] )
% 12.27/12.65  , clause( 1637, [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, Z ), sep( lseg( 
% 12.27/12.65    Z, T ), U ) ) ) ) ), =( Z, T ), heap( sep( lseg( X, Z ), sep( lseg( Z, T
% 12.27/12.65     ), U ) ) ) ] )
% 12.27/12.65  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 12.27/12.65    , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 12.27/12.65     ).
% 12.27/12.65  
% 12.27/12.65  
% 12.27/12.65  eqswap(
% 12.27/12.65  clause( 1687, [ ~( =( x3, x1 ) ) ] )
% 12.27/12.65  , clause( 1640, [ ~( =( x1, x3 ) ) ] )
% 12.27/12.65  , 0, substitution( 0, [] )).
% 12.27/12.65  
% 12.27/12.65  
% 12.27/12.65  subsumption(
% 12.27/12.65  clause( 13, [ ~( =( x3, x1 ) ) ] )
% 12.27/12.65  , clause( 1687, [ ~( =( x3, x1 ) ) ] )
% 12.27/12.65  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.27/12.65  
% 12.27/12.65  
% 12.27/12.65  subsumption(
% 12.27/12.65  clause( 15, [ heap( sep( lseg( x2, x1 ), sep( lseg( x3, nil ), sep( next( 
% 12.27/12.65    x1, x3 ), emp ) ) ) ) ] )
% 12.27/12.65  , clause( 1642, [ heap( sep( lseg( x2, x1 ), sep( lseg( x3, nil ), sep( 
% 12.27/12.65    next( x1, x3 ), emp ) ) ) ) ] )
% 12.27/12.65  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.27/12.65  
% 12.27/12.65  
% 12.27/12.65  subsumption(
% 12.27/12.65  clause( 16, [ ~( heap( sep( lseg( x3, nil ), sep( lseg( x2, x3 ), emp ) ) )
% 12.27/12.65     ) ] )
% 12.27/12.65  , clause( 1643, [ ~( heap( sep( lseg( x3, nil ), sep( lseg( x2, x3 ), emp )
% 12.27/12.65     ) ) ) ] )
% 12.27/12.65  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.27/12.65  
% 12.27/12.65  
% 12.27/12.65  paramod(
% 12.27/12.65  clause( 1717, [ =( sep( X, sep( Z, sep( Y, T ) ) ), sep( Y, sep( X, sep( Z
% 12.27/12.65    , T ) ) ) ) ] )
% 12.27/12.65  , clause( 0, [ =( sep( X, sep( Y, Z ) ), sep( Y, sep( X, Z ) ) ) ] )
% 12.27/12.65  , 0, clause( 0, [ =( sep( X, sep( Y, Z ) ), sep( Y, sep( X, Z ) ) ) ] )
% 12.27/12.65  , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T )] ), 
% 12.27/12.65    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, sep( Z, T ) )] )).
% 12.27/12.65  
% 12.27/12.65  
% 12.27/12.65  subsumption(
% 12.27/12.65  clause( 20, [ =( sep( T, sep( Y, sep( X, Z ) ) ), sep( X, sep( T, sep( Y, Z
% 12.27/12.65     ) ) ) ) ] )
% 12.27/12.65  , clause( 1717, [ =( sep( X, sep( Z, sep( Y, T ) ) ), sep( Y, sep( X, sep( 
% 12.27/12.65    Z, T ) ) ) ) ] )
% 12.27/12.65  , substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ), 
% 12.27/12.65    permutation( 0, [ ==>( 0, 0 )] ) ).
% 12.27/12.65  
% 12.27/12.65  
% 12.27/12.65  eqswap(
% 12.27/12.65  clause( 1724, [ =( Y, X ), ~( heap( sep( next( X, Y ), sep( lseg( Y, Z ), T
% 12.27/12.65     ) ) ) ), heap( sep( lseg( X, Z ), T ) ) ] )
% 12.27/12.65  , clause( 7, [ ~( heap( sep( next( X, Y ), sep( lseg( Y, Z ), T ) ) ) ), 
% 12.27/12.65    =( X, Y ), heap( sep( lseg( X, Z ), T ) ) ] )
% 12.27/12.65  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 12.27/12.65    ).
% 12.27/12.65  
% 12.27/12.65  
% 12.27/12.65  paramod(
% 12.27/12.65  clause( 7613, [ ~( heap( sep( next( X, Y ), Z ) ) ), =( Y, X ), heap( sep( 
% 12.27/12.65    lseg( X, Y ), Z ) ) ] )
% 12.27/12.65  , clause( 1, [ =( sep( lseg( X, X ), Y ), Y ) ] )
% 12.27/12.65  , 0, clause( 1724, [ =( Y, X ), ~( heap( sep( next( X, Y ), sep( lseg( Y, Z
% 12.27/12.65     ), T ) ) ) ), heap( sep( lseg( X, Z ), T ) ) ] )
% 12.27/12.65  , 1, 6, substitution( 0, [ :=( X, Y ), :=( Y, Z )] ), substitution( 1, [ 
% 12.27/12.65    :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Z )] )).
% 12.27/12.65  
% 12.27/12.65  
% 12.27/12.65  eqswap(
% 12.27/12.65  clause( 7615, [ =( Y, X ), ~( heap( sep( next( Y, X ), Z ) ) ), heap( sep( 
% 12.27/12.65    lseg( Y, X ), Z ) ) ] )
% 12.27/12.65  , clause( 7613, [ ~( heap( sep( next( X, Y ), Z ) ) ), =( Y, X ), heap( sep( 
% 12.27/12.65    lseg( X, Y ), Z ) ) ] )
% 12.27/12.65  , 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 12.27/12.65  
% 12.27/12.65  
% 12.27/12.65  subsumption(
% 12.27/12.65  clause( 340, [ ~( heap( sep( next( Z, X ), Y ) ) ), =( Z, X ), heap( sep( 
% 12.27/12.65    lseg( Z, X ), Y ) ) ] )
% 12.27/12.65  , clause( 7615, [ =( Y, X ), ~( heap( sep( next( Y, X ), Z ) ) ), heap( sep( 
% 12.27/12.65    lseg( Y, X ), Z ) ) ] )
% 12.27/12.65  , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ), 
% 12.27/12.65    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2, 2 )] ) ).
% 12.27/12.65  
% 12.27/12.65  
% 12.27/12.65  
% 12.27/12.65  ==> clause( 792, [ ~( heap( sep( lseg( nil, x3 ), X ) ) ), ~( heap( sep( 
% 12.27/12.65    lseg( x2, nil ), emp ) ) ) ] )
% 12.27/12.65  
% 12.27/12.65  
% 12.27/12.65  
% 12.27/12.65  !!! Internal Problem: OH, OH, COULD NOT DERIVE GOAL !!!
% 12.27/12.65  
% 12.27/12.65  Bliksem ended
%------------------------------------------------------------------------------