TSTP Solution File: SWW409-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWW409-1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n024.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 1.57s 1.95s
% Output   : Refutation 1.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SWW409-1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.12  % Command  : bliksem %s
% 0.13/0.33  % Computer : n024.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % DateTime : Sun Jun  5 16:31:05 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 1.57/1.95  *** allocated 10000 integers for termspace/termends
% 1.57/1.95  *** allocated 10000 integers for clauses
% 1.57/1.95  *** allocated 10000 integers for justifications
% 1.57/1.95  Bliksem 1.12
% 1.57/1.95  
% 1.57/1.95  
% 1.57/1.95  Automatic Strategy Selection
% 1.57/1.95  
% 1.57/1.95  Clauses:
% 1.57/1.95  [
% 1.57/1.95     [ =( sep( X, sep( Y, Z ) ), sep( Y, sep( X, Z ) ) ) ],
% 1.57/1.95     [ =( sep( lseg( X, X ), Y ), Y ) ],
% 1.57/1.95     [ ~( heap( sep( next( nil, X ), Y ) ) ) ],
% 1.57/1.95     [ ~( heap( sep( lseg( nil, X ), Y ) ) ), =( X, nil ) ],
% 1.57/1.95     [ ~( heap( sep( next( X, Y ), sep( next( X, Z ), T ) ) ) ) ],
% 1.57/1.95     [ ~( heap( sep( next( X, Y ), sep( lseg( X, Z ), T ) ) ) ), =( X, Z ) ]
% 1.57/1.95    ,
% 1.57/1.95     [ ~( heap( sep( lseg( X, Y ), sep( lseg( X, Z ), T ) ) ) ), =( X, Y ), 
% 1.57/1.95    =( X, Z ) ],
% 1.57/1.95     [ ~( heap( sep( next( X, Y ), sep( lseg( Y, Z ), T ) ) ) ), =( X, Y ), 
% 1.57/1.95    heap( sep( lseg( X, Z ), T ) ) ],
% 1.57/1.95     [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, nil ), Z ) ) ) ), heap( sep( 
% 1.57/1.95    lseg( X, nil ), Z ) ) ],
% 1.57/1.95     [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, Z ), sep( next( Z, T ), U )
% 1.57/1.95     ) ) ) ), heap( sep( lseg( X, Z ), sep( next( Z, T ), U ) ) ) ],
% 1.57/1.95     [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, Z ), sep( lseg( Z, T ), U )
% 1.57/1.95     ) ) ) ), =( Z, T ), heap( sep( lseg( X, Z ), sep( lseg( Z, T ), U ) ) )
% 1.57/1.95     ],
% 1.57/1.95     [ ~( =( nil, x1 ) ) ],
% 1.57/1.95     [ ~( =( nil, x2 ) ) ],
% 1.57/1.95     [ ~( =( x1, x3 ) ) ],
% 1.57/1.95     [ ~( =( x2, x3 ) ) ],
% 1.57/1.95     [ heap( sep( lseg( x2, x1 ), sep( lseg( x3, nil ), sep( next( x1, x3 ), 
% 1.57/1.95    emp ) ) ) ) ],
% 1.57/1.95     [ ~( heap( sep( lseg( x2, nil ), emp ) ) ) ]
% 1.57/1.95  ] .
% 1.57/1.95  
% 1.57/1.95  
% 1.57/1.95  percentage equality = 0.444444, percentage horn = 0.823529
% 1.57/1.95  This is a problem with some equality
% 1.57/1.95  
% 1.57/1.95  
% 1.57/1.95  
% 1.57/1.95  Options Used:
% 1.57/1.95  
% 1.57/1.95  useres =            1
% 1.57/1.95  useparamod =        1
% 1.57/1.95  useeqrefl =         1
% 1.57/1.95  useeqfact =         1
% 1.57/1.95  usefactor =         1
% 1.57/1.95  usesimpsplitting =  0
% 1.57/1.95  usesimpdemod =      5
% 1.57/1.95  usesimpres =        3
% 1.57/1.95  
% 1.57/1.95  resimpinuse      =  1000
% 1.57/1.95  resimpclauses =     20000
% 1.57/1.95  substype =          eqrewr
% 1.57/1.95  backwardsubs =      1
% 1.57/1.95  selectoldest =      5
% 1.57/1.95  
% 1.57/1.95  litorderings [0] =  split
% 1.57/1.95  litorderings [1] =  extend the termordering, first sorting on arguments
% 1.57/1.95  
% 1.57/1.95  termordering =      kbo
% 1.57/1.95  
% 1.57/1.95  litapriori =        0
% 1.57/1.95  termapriori =       1
% 1.57/1.95  litaposteriori =    0
% 1.57/1.95  termaposteriori =   0
% 1.57/1.95  demodaposteriori =  0
% 1.57/1.95  ordereqreflfact =   0
% 1.57/1.95  
% 1.57/1.95  litselect =         negord
% 1.57/1.95  
% 1.57/1.95  maxweight =         15
% 1.57/1.95  maxdepth =          30000
% 1.57/1.95  maxlength =         115
% 1.57/1.95  maxnrvars =         195
% 1.57/1.95  excuselevel =       1
% 1.57/1.95  increasemaxweight = 1
% 1.57/1.95  
% 1.57/1.95  maxselected =       10000000
% 1.57/1.95  maxnrclauses =      10000000
% 1.57/1.95  
% 1.57/1.95  showgenerated =    0
% 1.57/1.95  showkept =         0
% 1.57/1.95  showselected =     0
% 1.57/1.95  showdeleted =      0
% 1.57/1.95  showresimp =       1
% 1.57/1.95  showstatus =       2000
% 1.57/1.95  
% 1.57/1.95  prologoutput =     1
% 1.57/1.95  nrgoals =          5000000
% 1.57/1.95  totalproof =       1
% 1.57/1.95  
% 1.57/1.95  Symbols occurring in the translation:
% 1.57/1.95  
% 1.57/1.95  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.57/1.95  .  [1, 2]      (w:1, o:27, a:1, s:1, b:0), 
% 1.57/1.95  !  [4, 1]      (w:0, o:21, a:1, s:1, b:0), 
% 1.57/1.95  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.57/1.95  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.57/1.95  sep  [42, 2]      (w:1, o:52, a:1, s:1, b:0), 
% 1.57/1.95  lseg  [44, 2]      (w:1, o:53, a:1, s:1, b:0), 
% 1.57/1.95  nil  [45, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 1.57/1.95  next  [47, 2]      (w:1, o:54, a:1, s:1, b:0), 
% 1.57/1.95  heap  [48, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 1.57/1.95  x1  [51, 0]      (w:1, o:17, a:1, s:1, b:0), 
% 1.57/1.95  x2  [52, 0]      (w:1, o:18, a:1, s:1, b:0), 
% 1.57/1.95  x3  [53, 0]      (w:1, o:19, a:1, s:1, b:0), 
% 1.57/1.95  emp  [54, 0]      (w:1, o:20, a:1, s:1, b:0).
% 1.57/1.95  
% 1.57/1.95  
% 1.57/1.95  Starting Search:
% 1.57/1.95  
% 1.57/1.95  Resimplifying inuse:
% 1.57/1.95  Done
% 1.57/1.95  
% 1.57/1.95  
% 1.57/1.95  Bliksems!, er is een bewijs:
% 1.57/1.95  % SZS status Unsatisfiable
% 1.57/1.95  % SZS output start Refutation
% 1.57/1.95  
% 1.57/1.95  clause( 0, [ =( sep( X, sep( Y, Z ) ), sep( Y, sep( X, Z ) ) ) ] )
% 1.57/1.95  .
% 1.57/1.95  clause( 1, [ =( sep( lseg( X, X ), Y ), Y ) ] )
% 1.57/1.95  .
% 1.57/1.95  clause( 2, [ ~( heap( sep( next( nil, X ), Y ) ) ) ] )
% 1.57/1.95  .
% 1.57/1.95  clause( 5, [ ~( heap( sep( next( X, Y ), sep( lseg( X, Z ), T ) ) ) ), =( X
% 1.57/1.95    , Z ) ] )
% 1.57/1.95  .
% 1.57/1.95  clause( 6, [ ~( heap( sep( lseg( X, Y ), sep( lseg( X, Z ), T ) ) ) ), =( X
% 1.57/1.95    , Y ), =( X, Z ) ] )
% 1.57/1.95  .
% 1.57/1.95  clause( 7, [ ~( heap( sep( next( X, Y ), sep( lseg( Y, Z ), T ) ) ) ), =( X
% 1.57/1.95    , Y ), heap( sep( lseg( X, Z ), T ) ) ] )
% 1.57/1.95  .
% 1.57/1.95  clause( 8, [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, nil ), Z ) ) ) ), 
% 1.57/1.95    heap( sep( lseg( X, nil ), Z ) ) ] )
% 1.57/1.95  .
% 1.57/1.95  clause( 14, [ ~( =( x3, x2 ) ) ] )
% 1.57/1.95  .
% 1.57/1.95  clause( 15, [ heap( sep( lseg( x2, x1 ), sep( lseg( x3, nil ), sep( next( 
% 1.57/1.95    x1, x3 ), emp ) ) ) ) ] )
% 1.57/1.95  .
% 1.57/1.95  clause( 16, [ ~( heap( sep( lseg( x2, nil ), emp ) ) ) ] )
% 1.57/1.95  .
% 1.57/1.95  clause( 20, [ =( sep( T, sep( Y, sep( X, Z ) ) ), sep( X, sep( T, sep( Y, Z
% 1.57/1.95     ) ) ) ) ] )
% 1.57/1.95  .
% 1.57/1.95  clause( 114, [ ~( heap( sep( next( X, Y ), Z ) ) ), ~( heap( sep( next( X, 
% 1.57/1.95    T ), sep( lseg( X, nil ), U ) ) ) ) ] )
% 1.57/1.95  .
% 1.57/1.95  clause( 129, [ ~( heap( sep( next( X, Y ), sep( lseg( X, nil ), Z ) ) ) ) ]
% 1.57/1.95     )
% 1.57/1.95  .
% 1.57/1.95  clause( 269, [ ~( =( X, x2 ) ), ~( heap( sep( lseg( X, Y ), sep( lseg( X, 
% 1.57/1.95    x3 ), Z ) ) ) ), =( X, Y ) ] )
% 1.57/1.95  .
% 1.57/1.95  clause( 270, [ ~( heap( sep( lseg( x2, X ), sep( lseg( x2, x3 ), Y ) ) ) )
% 1.57/1.95    , =( x2, X ) ] )
% 1.57/1.95  .
% 1.57/1.95  clause( 412, [ ~( heap( sep( lseg( x2, X ), sep( lseg( X, nil ), emp ) ) )
% 1.57/1.95     ) ] )
% 1.57/1.95  .
% 1.57/1.95  clause( 763, [ ~( heap( sep( lseg( X, nil ), sep( lseg( x2, X ), emp ) ) )
% 1.57/1.95     ) ] )
% 1.57/1.95  .
% 1.57/1.95  clause( 961, [ heap( sep( next( x1, x3 ), sep( lseg( x2, x1 ), sep( lseg( 
% 1.57/1.95    x3, nil ), emp ) ) ) ) ] )
% 1.57/1.95  .
% 1.57/1.95  clause( 1332, [ heap( sep( next( x1, x3 ), sep( lseg( x3, nil ), sep( lseg( 
% 1.57/1.95    x2, x1 ), emp ) ) ) ) ] )
% 1.57/1.95  .
% 1.57/1.95  clause( 1361, [ =( x3, x1 ) ] )
% 1.57/1.95  .
% 1.57/1.95  clause( 1371, [ ~( heap( sep( lseg( x2, x1 ), X ) ) ) ] )
% 1.57/1.95  .
% 1.57/1.95  clause( 1376, [] )
% 1.57/1.95  .
% 1.57/1.95  
% 1.57/1.95  
% 1.57/1.95  % SZS output end Refutation
% 1.57/1.95  found a proof!
% 1.57/1.95  
% 1.57/1.95  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.57/1.95  
% 1.57/1.95  initialclauses(
% 1.57/1.95  [ clause( 1378, [ =( sep( X, sep( Y, Z ) ), sep( Y, sep( X, Z ) ) ) ] )
% 1.57/1.95  , clause( 1379, [ =( sep( lseg( X, X ), Y ), Y ) ] )
% 1.57/1.95  , clause( 1380, [ ~( heap( sep( next( nil, X ), Y ) ) ) ] )
% 1.57/1.95  , clause( 1381, [ ~( heap( sep( lseg( nil, X ), Y ) ) ), =( X, nil ) ] )
% 1.57/1.95  , clause( 1382, [ ~( heap( sep( next( X, Y ), sep( next( X, Z ), T ) ) ) )
% 1.57/1.95     ] )
% 1.57/1.95  , clause( 1383, [ ~( heap( sep( next( X, Y ), sep( lseg( X, Z ), T ) ) ) )
% 1.57/1.95    , =( X, Z ) ] )
% 1.57/1.95  , clause( 1384, [ ~( heap( sep( lseg( X, Y ), sep( lseg( X, Z ), T ) ) ) )
% 1.57/1.95    , =( X, Y ), =( X, Z ) ] )
% 1.57/1.95  , clause( 1385, [ ~( heap( sep( next( X, Y ), sep( lseg( Y, Z ), T ) ) ) )
% 1.57/1.95    , =( X, Y ), heap( sep( lseg( X, Z ), T ) ) ] )
% 1.57/1.95  , clause( 1386, [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, nil ), Z ) ) )
% 1.57/1.95     ), heap( sep( lseg( X, nil ), Z ) ) ] )
% 1.57/1.95  , clause( 1387, [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, Z ), sep( next( 
% 1.57/1.95    Z, T ), U ) ) ) ) ), heap( sep( lseg( X, Z ), sep( next( Z, T ), U ) ) )
% 1.57/1.95     ] )
% 1.57/1.95  , clause( 1388, [ ~( heap( sep( lseg( X, Y ), sep( lseg( Y, Z ), sep( lseg( 
% 1.57/1.95    Z, T ), U ) ) ) ) ), =( Z, T ), heap( sep( lseg( X, Z ), sep( lseg( Z, T
% 1.57/1.95     ), U ) ) ) ] )
% 1.57/1.95  , clause( 1389, [ ~( =( nil, x1 ) ) ] )
% 1.57/1.95  , clause( 1390, [ ~( =( nil, x2 ) ) ] )
% 1.57/1.95  , clause( 1391, [ ~( =( x1, x3 ) ) ] )
% 1.57/1.95  , clause( 1392, [ ~( =( x2, x3 ) ) ] )
% 1.57/1.95  , clause( 1393, [ heap( sep( lseg( x2, x1 ), sep( lseg( x3, nil ), sep( 
% 1.57/1.95    next( x1, x3 ), emp ) ) ) ) ] )
% 1.57/1.95  , clause( 1394, [ ~( heap( sep( lseg( x2, nil ), emp ) ) ) ] )
% 1.57/1.95  ] ).
% 1.57/1.95  
% 1.57/1.95  
% 1.57/1.95  
% 1.57/1.95  subsumption(
% 1.57/1.95  clause( 0, [ =( sep( X, sep( Y, Z ) ), sep( Y, sep( X, Z ) ) ) ] )
% 1.57/1.95  , clause( 1378, [ =( sep( X, sep( Y, Z ) ), sep( Y, sep( X, Z ) ) ) ] )
% 1.57/1.95  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 1.57/1.95    permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.57/1.95  
% 1.57/1.95  
% 1.57/1.95  subsumption(
% 1.57/1.95  clause( 1, [ =( sep( lseg( X, X ), Y ), Y ) ] )
% 1.57/1.95  , clause( 1379, [ =( sep( lseg( X, X ), Y ), Y ) ] )
% 1.57/1.95  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.57/1.95     )] ) ).
% 1.57/1.95  
% 1.57/1.95  
% 1.57/1.95  subsumption(
% 1.57/1.95  clause( 2, [ ~( heap( sep( next( nil, X ), Y ) ) ) ] )
% 1.57/1.95  , clause( 1380, [ ~( heap( sep( next( nil, X ), Y ) ) ) ] )
% 1.57/1.95  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 1.57/1.95     )] ) ).
% 1.57/1.95  
% 1.57/1.95  
% 1.57/1.95  subsumption(
% 1.57/1.95  clause( 5, [ ~( heap( sep( next( X, Y ), sep( lseg( X, Z ), T ) ) ) ), =( X
% 1.57/1.95    , Z ) ] )
% 1.57/1.95  , clause( 1383, [ ~( heap( sep( next( X, Y ), sep( lseg( X, Z ), T ) ) ) )
% 1.57/1.95    , =( X, Z ) ] )
% 1.57/1.95  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 1.57/1.95    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.57/1.95  
% 1.57/1.95  
% 1.57/1.95  subsumption(
% 1.57/1.95  clause( 6, [ ~( heap( sep( lseg( X, Y ), sep( lseg( X, Z ), T ) ) ) ), =( X
% 1.57/1.95    , Y ), =( X, Z ) ] )
% 1.57/1.95  , clause( 1384, [ ~( heap( sep( lseg( X, Y ), sep( lseg( X, Z ), T ) ) ) )
% 1.57/1.95    , =( X, Y ), =( X, Z ) ] )
% 1.57/1.95  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 1.57/1.95    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.57/1.95  
% 1.57/1.95  
% 1.57/1.95  subsumption(
% 1.57/1.95  clause( 7, [ ~( heap( sep( next( X, Y ), sep( lseg( Y, Z ), T ) ) ) ), =( X
% 1.57/1.95    , Y ), heap( sep( lseg( X, Z ), T ) ) ] )
% 1.57/1.95  , clause( 1385, [ ~( heap( sep( next( X, Y ), sep( lCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------