TSTP Solution File: SWV866-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV866-1 : TPTP v8.1.0. Released v4.1.0.
% 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 16:28:55 EDT 2022

% Result   : Unsatisfiable 0.39s 1.06s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWV866-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n019.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 : Thu Jun 16 01:09:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.39/1.05  *** allocated 10000 integers for termspace/termends
% 0.39/1.05  *** allocated 10000 integers for clauses
% 0.39/1.05  *** allocated 10000 integers for justifications
% 0.39/1.05  Bliksem 1.12
% 0.39/1.05  
% 0.39/1.05  
% 0.39/1.05  Automatic Strategy Selection
% 0.39/1.05  
% 0.39/1.05  Clauses:
% 0.39/1.05  [
% 0.39/1.05     [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y, Z, X ) ) ]
% 0.39/1.05    ,
% 0.39/1.05     [ 'c_Natural_Oevalc'( X, 
% 0.39/1.05    'c_Natural_Osko__Natural__Xevalc__elim__cases__4__1'( Y, X, Z, T ), T ), 
% 0.39/1.05    ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( Y, X ), Z, T ) ) ],
% 0.39/1.05     [ 'c_Natural_Oevalc'( X, Y, 
% 0.39/1.05    'c_Natural_Osko__Natural__Xevalc__elim__cases__4__1'( X, Z, Y, T ) ), ~( 
% 0.39/1.05    'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Z ), Y, T ) ) ],
% 0.39/1.05     [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T, U ), ~( 
% 0.39/1.05    'c_Natural_Oevaln'( Y, W, T, U ) ), ~( 'c_Natural_Oevaln'( X, Z, T, W ) )
% 0.39/1.05     ],
% 0.39/1.05     [ 'c_Natural_Oevaln'( X, Y, 'c_Natural_Osko__Natural__Xeval__eq__1__1'( 
% 0.39/1.05    X, Y, Z ), Z ), ~( 'c_Natural_Oevalc'( X, Y, Z ) ) ],
% 0.39/1.05     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.39/1.05    , T ) ],
% 0.39/1.05     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.39/1.05    , Z ) ],
% 0.39/1.05     [ 'c_Natural_Oevaln'( X, 
% 0.39/1.05    'c_Natural_Osko__Natural__Xevaln__elim__cases__4__1'( Y, X, Z, T, U ), Z
% 0.39/1.05    , U ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( Y, X ), T, Z, U ) ) ]
% 0.39/1.05    ,
% 0.39/1.05     [ 'c_Natural_Oevaln'( X, Y, Z, 
% 0.39/1.05    'c_Natural_Osko__Natural__Xevaln__elim__cases__4__1'( X, T, Z, Y, U ) ), 
% 0.39/1.05    ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, T ), Y, Z, U ) ) ],
% 0.39/1.05     [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', X, Y, X ) ],
% 0.39/1.05     [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.39/1.05     [ 'c_Natural_Oevaln'( X, Y, 
% 0.39/1.05    'c_Natural_Osko__Natural__Xevalc__evaln__1__1'( X, Y, Z ), Z ), ~( 
% 0.39/1.05    'c_Natural_Oevalc'( X, Y, Z ) ) ],
% 0.39/1.05     [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.39/1.05     [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~( 'c_Natural_Oevalc'( 
% 0.39/1.05    Z, T, Y ) ) ],
% 0.39/1.05     [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', X, X ) ],
% 0.39/1.05     [ ~( =( 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1', 
% 0.39/1.05    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2' ) ), ~( 
% 0.39/1.05    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 0.39/1.05     [ 'c_Hoare__Mirabelle_Ostate__not__singleton', =( X, Y ) ],
% 0.39/1.05     [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ), X ) ), ~( 
% 0.39/1.05    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 0.39/1.05     [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T ), ~( 
% 0.39/1.05    'c_Natural_Oevalc'( Y, U, T ) ), ~( 'c_Natural_Oevalc'( X, Z, U ) ) ]
% 0.39/1.05    ,
% 0.39/1.05     [ ~( =( 'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1', 
% 0.39/1.05    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2' ) ), ~( 
% 0.39/1.05    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ],
% 0.39/1.05     [ =( X, Y ), ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', Y, X ) ) ],
% 0.39/1.05     [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ]
% 0.39/1.05    ,
% 0.39/1.05     [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y, T, Z ) ) ]
% 0.39/1.05    ,
% 0.39/1.05     [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ],
% 0.39/1.05     [ =( X, 'v_s_H' ) ],
% 0.39/1.05     [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ) ]
% 0.39/1.05  ] .
% 0.39/1.05  
% 0.39/1.05  
% 0.39/1.05  percentage equality = 0.304348, percentage horn = 0.960000
% 0.39/1.05  This is a problem with some equality
% 0.39/1.06  
% 0.39/1.06  
% 0.39/1.06  
% 0.39/1.06  Options Used:
% 0.39/1.06  
% 0.39/1.06  useres =            1
% 0.39/1.06  useparamod =        1
% 0.39/1.06  useeqrefl =         1
% 0.39/1.06  useeqfact =         1
% 0.39/1.06  usefactor =         1
% 0.39/1.06  usesimpsplitting =  0
% 0.39/1.06  usesimpdemod =      5
% 0.39/1.06  usesimpres =        3
% 0.39/1.06  
% 0.39/1.06  resimpinuse      =  1000
% 0.39/1.06  resimpclauses =     20000
% 0.39/1.06  substype =          eqrewr
% 0.39/1.06  backwardsubs =      1
% 0.39/1.06  selectoldest =      5
% 0.39/1.06  
% 0.39/1.06  litorderings [0] =  split
% 0.39/1.06  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.39/1.06  
% 0.39/1.06  termordering =      kbo
% 0.39/1.06  
% 0.39/1.06  litapriori =        0
% 0.39/1.06  termapriori =       1
% 0.39/1.06  litaposteriori =    0
% 0.39/1.06  termaposteriori =   0
% 0.39/1.06  demodaposteriori =  0
% 0.39/1.06  ordereqreflfact =   0
% 0.39/1.06  
% 0.39/1.06  litselect =         negord
% 0.39/1.06  
% 0.39/1.06  maxweight =         15
% 0.39/1.06  maxdepth =          30000
% 0.39/1.06  maxlength =         115
% 0.39/1.06  maxnrvars =         195
% 0.39/1.06  excuselevel =       1
% 0.39/1.06  increasemaxweight = 1
% 0.39/1.06  
% 0.39/1.06  maxselected =       10000000
% 0.39/1.06  maxnrclauses =      10000000
% 0.39/1.06  
% 0.39/1.06  showgenerated =    0
% 0.39/1.06  showkept =         0
% 0.39/1.06  showselected =     0
% 0.39/1.06  showdeleted =      0
% 0.39/1.06  showresimp =       1
% 0.39/1.06  showstatus =       2000
% 0.39/1.06  
% 0.39/1.06  prologoutput =     1
% 0.39/1.06  nrgoals =          5000000
% 0.39/1.06  totalproof =       1
% 0.39/1.06  
% 0.39/1.06  Symbols occurring in the translation:
% 0.39/1.06  
% 0.39/1.06  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.39/1.06  .  [1, 2]      (w:1, o:42, a:1, s:1, b:0), 
% 0.39/1.06  !  [4, 1]      (w:0, o:36, a:1, s:1, b:0), 
% 0.39/1.06  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.39/1.06  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.39/1.06  'c_Com_Ocom_OSKIP'  [41, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.39/1.06  'c_Natural_Oevaln'  [43, 4]      (w:1, o:71, a:1, s:1, b:0), 
% 0.39/1.06  'c_Natural_Osko__Natural__Xevalc__elim__cases__4__1'  [46, 4]      (w:1, o:
% 0.39/1.06    72, a:1, s:1, b:0), 
% 0.39/1.06  'c_Natural_Oevalc'  [47, 3]      (w:1, o:68, a:1, s:1, b:0), 
% 0.39/1.06  'c_Com_Ocom_OSemi'  [48, 2]      (w:1, o:67, a:1, s:1, b:0), 
% 0.39/1.06  'c_Natural_Osko__Natural__Xeval__eq__1__1'  [54, 3]      (w:1, o:69, a:1
% 0.39/1.06    , s:1, b:0), 
% 0.39/1.06  'c_Natural_Osko__Natural__Xevaln__elim__cases__4__1'  [59, 5]      (w:1, o:
% 0.39/1.06    73, a:1, s:1, b:0), 
% 0.39/1.06  'c_Natural_Osko__Natural__Xevalc__evaln__1__1'  [60, 3]      (w:1, o:70, a:
% 0.39/1.06    1, s:1, b:0), 
% 0.39/1.06  'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1'  [62, 0
% 0.39/1.06    ]      (w:1, o:25, a:1, s:1, b:0), 
% 0.39/1.06  'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2'  [63, 0
% 0.39/1.06    ]      (w:1, o:26, a:1, s:1, b:0), 
% 0.39/1.06  'c_Hoare__Mirabelle_Ostate__not__singleton'  [64, 0]      (w:1, o:27, a:1
% 0.39/1.06    , s:1, b:0), 
% 0.39/1.06  'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'  [67, 1]      (w:1, o:41, a:1
% 0.39/1.06    , s:1, b:0), 
% 0.39/1.06  'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1'  [68, 0]      (w:
% 0.39/1.06    1, o:30, a:1, s:1, b:0), 
% 0.39/1.06  'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2'  [69, 0]      (w:
% 0.39/1.06    1, o:31, a:1, s:1, b:0), 
% 0.39/1.06  'v_s_H'  [71, 0]      (w:1, o:33, a:1, s:1, b:0), 
% 0.39/1.06  'v_c'  [72, 0]      (w:1, o:34, a:1, s:1, b:0), 
% 0.39/1.06  'v_Z'  [73, 0]      (w:1, o:35, a:1, s:1, b:0).
% 0.39/1.06  
% 0.39/1.06  
% 0.39/1.06  Starting Search:
% 0.39/1.06  
% 0.39/1.06  
% 0.39/1.06  Bliksems!, er is een bewijs:
% 0.39/1.06  % SZS status Unsatisfiable
% 0.39/1.06  % SZS output start Refutation
% 0.39/1.06  
% 0.39/1.06  clause( 13, [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', X, X ) ] )
% 0.39/1.06  .
% 0.39/1.06  clause( 22, [ =( X, 'v_s_H' ) ] )
% 0.39/1.06  .
% 0.39/1.06  clause( 23, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ) ] )
% 0.39/1.06  .
% 0.39/1.06  clause( 26, [ =( Y, X ) ] )
% 0.39/1.06  .
% 0.39/1.06  clause( 27, [ ~( 'c_Natural_Oevalc'( X, 'v_Z', Y ) ) ] )
% 0.39/1.06  .
% 0.39/1.06  clause( 29, [ ~( 'c_Natural_Oevalc'( Y, X, Z ) ) ] )
% 0.39/1.06  .
% 0.39/1.06  clause( 30, [] )
% 0.39/1.06  .
% 0.39/1.06  
% 0.39/1.06  
% 0.39/1.06  % SZS output end Refutation
% 0.39/1.06  found a proof!
% 0.39/1.06  
% 0.39/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.39/1.06  
% 0.39/1.06  initialclauses(
% 0.39/1.06  [ clause( 32, [ =( X, Y ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', Y, Z
% 0.39/1.06    , X ) ) ] )
% 0.39/1.06  , clause( 33, [ 'c_Natural_Oevalc'( X, 
% 0.39/1.06    'c_Natural_Osko__Natural__Xevalc__elim__cases__4__1'( Y, X, Z, T ), T ), 
% 0.39/1.06    ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( Y, X ), Z, T ) ) ] )
% 0.39/1.06  , clause( 34, [ 'c_Natural_Oevalc'( X, Y, 
% 0.39/1.06    'c_Natural_Osko__Natural__Xevalc__elim__cases__4__1'( X, Z, Y, T ) ), ~( 
% 0.39/1.06    'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Z ), Y, T ) ) ] )
% 0.39/1.06  , clause( 35, [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T, U ), 
% 0.39/1.06    ~( 'c_Natural_Oevaln'( Y, W, T, U ) ), ~( 'c_Natural_Oevaln'( X, Z, T, W
% 0.39/1.06     ) ) ] )
% 0.39/1.06  , clause( 36, [ 'c_Natural_Oevaln'( X, Y, 
% 0.39/1.06    'c_Natural_Osko__Natural__Xeval__eq__1__1'( X, Y, Z ), Z ), ~( 
% 0.39/1.06    'c_Natural_Oevalc'( X, Y, Z ) ) ] )
% 0.39/1.06  , clause( 37, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T
% 0.39/1.06     ) ) ), =( Y, T ) ] )
% 0.39/1.06  , clause( 38, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T
% 0.39/1.06     ) ) ), =( X, Z ) ] )
% 0.39/1.06  , clause( 39, [ 'c_Natural_Oevaln'( X, 
% 0.39/1.06    'c_Natural_Osko__Natural__Xevaln__elim__cases__4__1'( Y, X, Z, T, U ), Z
% 0.39/1.06    , U ), ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( Y, X ), T, Z, U ) ) ]
% 0.39/1.06     )
% 0.39/1.06  , clause( 40, [ 'c_Natural_Oevaln'( X, Y, Z, 
% 0.39/1.06    'c_Natural_Osko__Natural__Xevaln__elim__cases__4__1'( X, T, Z, Y, U ) ), 
% 0.39/1.06    ~( 'c_Natural_Oevaln'( 'c_Com_Ocom_OSemi'( X, T ), Y, Z, U ) ) ] )
% 0.39/1.06  , clause( 41, [ 'c_Natural_Oevaln'( 'c_Com_Ocom_OSKIP', X, Y, X ) ] )
% 0.39/1.06  , clause( 42, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ]
% 0.39/1.06     )
% 0.39/1.06  , clause( 43, [ 'c_Natural_Oevaln'( X, Y, 
% 0.39/1.06    'c_Natural_Osko__Natural__Xevalc__evaln__1__1'( X, Y, Z ), Z ), ~( 
% 0.39/1.06    'c_Natural_Oevalc'( X, Y, Z ) ) ] )
% 0.39/1.06  , clause( 44, [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ]
% 0.39/1.06     )
% 0.39/1.06  , clause( 45, [ =( X, Y ), ~( 'c_Natural_Oevalc'( Z, T, X ) ), ~( 
% 0.39/1.06    'c_Natural_Oevalc'( Z, T, Y ) ) ] )
% 0.39/1.06  , clause( 46, [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', X, X ) ] )
% 0.39/1.06  , clause( 47, [ ~( =( 
% 0.39/1.06    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1', 
% 0.39/1.06    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2' ) ), ~( 
% 0.39/1.06    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 0.39/1.06  , clause( 48, [ 'c_Hoare__Mirabelle_Ostate__not__singleton', =( X, Y ) ] )
% 0.39/1.06  , clause( 49, [ ~( =( 'v_sko__Hoare__Mirabelle__Xsingle__stateE__1'( X ), X
% 0.39/1.06     ) ), ~( 'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 0.39/1.06  , clause( 50, [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSemi'( X, Y ), Z, T ), ~( 
% 0.39/1.06    'c_Natural_Oevalc'( Y, U, T ) ), ~( 'c_Natural_Oevalc'( X, Z, U ) ) ] )
% 0.39/1.06  , clause( 51, [ ~( =( 
% 0.39/1.06    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1', 
% 0.39/1.06    'v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2' ) ), ~( 
% 0.39/1.06    'c_Hoare__Mirabelle_Ostate__not__singleton' ) ] )
% 0.39/1.06  , clause( 52, [ =( X, Y ), ~( 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', Y, X
% 0.39/1.06     ) ) ] )
% 0.39/1.06  , clause( 53, [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y
% 0.39/1.06    , T, Z ) ) ] )
% 0.39/1.06  , clause( 54, [ 'c_Natural_Oevalc'( X, Y, Z ), ~( 'c_Natural_Oevaln'( X, Y
% 0.39/1.06    , T, Z ) ) ] )
% 0.39/1.06  , clause( 55, [ 'c_Hoare__Mirabelle_Ostate__not__singleton' ] )
% 0.39/1.06  , clause( 56, [ =( X, 'v_s_H' ) ] )
% 0.39/1.06  , clause( 57, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ) ] )
% 0.39/1.06  ] ).
% 0.39/1.06  
% 0.39/1.06  
% 0.39/1.06  
% 0.39/1.06  subsumption(
% 0.39/1.06  clause( 13, [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', X, X ) ] )
% 0.39/1.06  , clause( 46, [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', X, X ) ] )
% 0.39/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/1.06  
% 0.39/1.06  
% 0.39/1.06  subsumption(
% 0.39/1.06  clause( 22, [ =( X, 'v_s_H' ) ] )
% 0.39/1.06  , clause( 56, [ =( X, 'v_s_H' ) ] )
% 0.39/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/1.06  
% 0.39/1.06  
% 0.39/1.06  subsumption(
% 0.39/1.06  clause( 23, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ) ] )
% 0.39/1.06  , clause( 57, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ) ] )
% 0.39/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/1.06  
% 0.39/1.06  
% 0.39/1.06  eqswap(
% 0.39/1.06  clause( 91, [ =( 'v_s_H', X ) ] )
% 0.39/1.06  , clause( 22, [ =( X, 'v_s_H' ) ] )
% 0.39/1.06  , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/1.06  
% 0.39/1.06  
% 0.39/1.06  eqswap(
% 0.39/1.06  clause( 92, [ =( 'v_s_H', X ) ] )
% 0.39/1.06  , clause( 22, [ =( X, 'v_s_H' ) ] )
% 0.39/1.06  , 0, substitution( 0, [ :=( X, X )] )).
% 0.39/1.06  
% 0.39/1.06  
% 0.39/1.06  paramod(
% 0.39/1.06  clause( 93, [ =( Y, X ) ] )
% 0.39/1.06  , clause( 91, [ =( 'v_s_H', X ) ] )
% 0.39/1.06  , 0, clause( 92, [ =( 'v_s_H', X ) ] )
% 0.39/1.06  , 0, 1, substitution( 0, [ :=( X, Y )] ), substitution( 1, [ :=( X, X )] )
% 0.39/1.06    ).
% 0.39/1.06  
% 0.39/1.06  
% 0.39/1.06  subsumption(
% 0.39/1.06  clause( 26, [ =( Y, X ) ] )
% 0.39/1.06  , clause( 93, [ =( Y, X ) ] )
% 0.39/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.39/1.06     )] ) ).
% 0.39/1.06  
% 0.39/1.06  
% 0.39/1.06  paramod(
% 0.39/1.06  clause( 94, [ ~( 'c_Natural_Oevalc'( Y, 'v_Z', X ) ) ] )
% 0.39/1.06  , clause( 26, [ =( Y, X ) ] )
% 0.39/1.06  , 0, clause( 23, [ ~( 'c_Natural_Oevalc'( 'v_c', 'v_Z', X ) ) ] )
% 0.39/1.06  , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, 'v_c' )] ), substitution( 1
% 0.39/1.06    , [ :=( X, X )] )).
% 0.39/1.06  
% 0.39/1.06  
% 0.39/1.06  subsumption(
% 0.39/1.06  clause( 27, [ ~( 'c_Natural_Oevalc'( X, 'v_Z', Y ) ) ] )
% 0.39/1.06  , clause( 94, [ ~( 'c_Natural_Oevalc'( Y, 'v_Z', X ) ) ] )
% 0.39/1.06  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.39/1.06     )] ) ).
% 0.39/1.06  
% 0.39/1.06  
% 0.39/1.06  paramod(
% 0.39/1.06  clause( 97, [ ~( 'c_Natural_Oevalc'( X, Z, Y ) ) ] )
% 0.39/1.06  , clause( 26, [ =( Y, X ) ] )
% 0.39/1.06  , 0, clause( 27, [ ~( 'c_Natural_Oevalc'( X, 'v_Z', Y ) ) ] )
% 0.39/1.06  , 0, 3, substitution( 0, [ :=( X, Z ), :=( Y, 'v_Z' )] ), substitution( 1
% 0.39/1.06    , [ :=( X, X ), :=( Y, Y )] )).
% 0.39/1.06  
% 0.39/1.06  
% 0.39/1.06  subsumption(
% 0.39/1.06  clause( 29, [ ~( 'c_Natural_Oevalc'( Y, X, Z ) ) ] )
% 0.39/1.06  , clause( 97, [ ~( 'c_Natural_Oevalc'( X, Z, Y ) ) ] )
% 0.39/1.06  , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ), 
% 0.39/1.06    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.39/1.06  
% 0.39/1.06  
% 0.39/1.06  resolution(
% 0.39/1.06  clause( 98, [] )
% 0.39/1.06  , clause( 29, [ ~( 'c_Natural_Oevalc'( Y, X, Z ) ) ] )
% 0.39/1.06  , 0, clause( 13, [ 'c_Natural_Oevalc'( 'c_Com_Ocom_OSKIP', X, X ) ] )
% 0.39/1.06  , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_Com_Ocom_OSKIP' ), :=( Z, X )] )
% 0.39/1.06    , substitution( 1, [ :=( X, X )] )).
% 0.39/1.06  
% 0.39/1.06  
% 0.39/1.06  subsumption(
% 0.39/1.06  clause( 30, [] )
% 0.39/1.06  , clause( 98, [] )
% 0.39/1.06  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.39/1.06  
% 0.39/1.06  
% 0.39/1.06  end.
% 0.39/1.06  
% 0.39/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.39/1.06  
% 0.39/1.06  Memory use:
% 0.39/1.06  
% 0.39/1.06  space for terms:        937
% 0.39/1.06  space for clauses:      2143
% 0.39/1.06  
% 0.39/1.06  
% 0.39/1.06  clauses generated:      47
% 0.39/1.06  clauses kept:           31
% 0.39/1.06  clauses selected:       6
% 0.39/1.06  clauses deleted:        3
% 0.39/1.06  clauses inuse deleted:  0
% 0.39/1.06  
% 0.39/1.06  subsentry:          230
% 0.39/1.06  literals s-matched: 177
% 0.39/1.06  literals matched:   177
% 0.39/1.06  full subsumption:   8
% 0.39/1.06  
% 0.39/1.06  checksum:           302277045
% 0.39/1.06  
% 0.39/1.06  
% 0.39/1.06  Bliksem ended
%------------------------------------------------------------------------------