TSTP Solution File: SWV324-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV324-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n016.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 16:24:03 EDT 2022

% Result   : Unsatisfiable 0.73s 1.12s
% Output   : Refutation 0.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWV324-2 : TPTP v8.1.0. Released v3.2.0.
% 0.14/0.14  % Command  : bliksem %s
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % DateTime : Wed Jun 15 18:19:17 EDT 2022
% 0.21/0.35  % CPUTime  : 
% 0.73/1.12  *** allocated 10000 integers for termspace/termends
% 0.73/1.12  *** allocated 10000 integers for clauses
% 0.73/1.12  *** allocated 10000 integers for justifications
% 0.73/1.12  Bliksem 1.12
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  Automatic Strategy Selection
% 0.73/1.12  
% 0.73/1.12  Clauses:
% 0.73/1.12  [
% 0.73/1.12     [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', 'v_B', 
% 0.73/1.12    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ), 
% 0.73/1.12    'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 
% 0.73/1.12    'v_B' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 
% 0.73/1.12    'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso', 
% 0.73/1.12    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ],
% 0.73/1.12     [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ],
% 0.73/1.12     [ 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ), ~( 'c_in'( 
% 0.73/1.12    'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ), 'c_Message_Oparts'( 
% 0.73/1.12    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) ), 
% 0.73/1.12    'tc_Message_Omsg' ) ) ],
% 0.73/1.12     [ =( 'c_Public_OshrK'( 'v_A' ), 'v_K' ), 'c_in'( 'v_A', 'c_Event_Obad', 
% 0.73/1.12    'tc_Message_Oagent' ) ],
% 0.73/1.12     [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T, 
% 0.73/1.12    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 'c_Message_Oanalz'( 
% 0.73/1.12    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ), 'tc_Message_Omsg' ) ]
% 0.73/1.12    ,
% 0.73/1.12     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ), 
% 0.73/1.12    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ), 
% 0.73/1.12    'tc_Message_Omsg' ) ],
% 0.73/1.12     [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ), 'c_in'( 
% 0.73/1.12    X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ],
% 0.73/1.12     [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'( Z ), 
% 0.73/1.12    'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ), 
% 0.73/1.12    'tc_Message_Omsg' ) ]
% 0.73/1.12  ] .
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  percentage equality = 0.071429, percentage horn = 0.875000
% 0.73/1.12  This is a problem with some equality
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  Options Used:
% 0.73/1.12  
% 0.73/1.12  useres =            1
% 0.73/1.12  useparamod =        1
% 0.73/1.12  useeqrefl =         1
% 0.73/1.12  useeqfact =         1
% 0.73/1.12  usefactor =         1
% 0.73/1.12  usesimpsplitting =  0
% 0.73/1.12  usesimpdemod =      5
% 0.73/1.12  usesimpres =        3
% 0.73/1.12  
% 0.73/1.12  resimpinuse      =  1000
% 0.73/1.12  resimpclauses =     20000
% 0.73/1.12  substype =          eqrewr
% 0.73/1.12  backwardsubs =      1
% 0.73/1.12  selectoldest =      5
% 0.73/1.12  
% 0.73/1.12  litorderings [0] =  split
% 0.73/1.12  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.73/1.12  
% 0.73/1.12  termordering =      kbo
% 0.73/1.12  
% 0.73/1.12  litapriori =        0
% 0.73/1.12  termapriori =       1
% 0.73/1.12  litaposteriori =    0
% 0.73/1.12  termaposteriori =   0
% 0.73/1.12  demodaposteriori =  0
% 0.73/1.12  ordereqreflfact =   0
% 0.73/1.12  
% 0.73/1.12  litselect =         negord
% 0.73/1.12  
% 0.73/1.12  maxweight =         15
% 0.73/1.12  maxdepth =          30000
% 0.73/1.12  maxlength =         115
% 0.73/1.12  maxnrvars =         195
% 0.73/1.12  excuselevel =       1
% 0.73/1.12  increasemaxweight = 1
% 0.73/1.12  
% 0.73/1.12  maxselected =       10000000
% 0.73/1.12  maxnrclauses =      10000000
% 0.73/1.12  
% 0.73/1.12  showgenerated =    0
% 0.73/1.12  showkept =         0
% 0.73/1.12  showselected =     0
% 0.73/1.12  showdeleted =      0
% 0.73/1.12  showresimp =       1
% 0.73/1.12  showstatus =       2000
% 0.73/1.12  
% 0.73/1.12  prologoutput =     1
% 0.73/1.12  nrgoals =          5000000
% 0.73/1.12  totalproof =       1
% 0.73/1.12  
% 0.73/1.12  Symbols occurring in the translation:
% 0.73/1.12  
% 0.73/1.12  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.73/1.12  .  [1, 2]      (w:1, o:40, a:1, s:1, b:0), 
% 0.73/1.12  !  [4, 1]      (w:0, o:30, a:1, s:1, b:0), 
% 0.73/1.12  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.73/1.12  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.73/1.12  'c_Message_Oagent_OServer'  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.73/1.12  'v_B'  [40, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.73/1.12  'v_NA'  [41, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.73/1.12  'c_Message_Omsg_ONonce'  [42, 1]      (w:1, o:35, a:1, s:1, b:0), 
% 0.73/1.12  'v_X'  [43, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.73/1.12  'c_Public_OshrK'  [44, 1]      (w:1, o:36, a:1, s:1, b:0), 
% 0.73/1.12  'v_NB'  [45, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.73/1.12  'v_K'  [46, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.73/1.12  'c_Message_Omsg_OKey'  [47, 1]      (w:1, o:37, a:1, s:1, b:0), 
% 0.73/1.12  'c_Message_Omsg_OMPair'  [48, 2]      (w:1, o:66, a:1, s:1, b:0), 
% 0.73/1.12  'c_Message_Omsg_OCrypt'  [49, 2]      (w:1, o:67, a:1, s:1, b:0), 
% 0.73/1.12  'c_Event_Oevent_OSays'  [50, 3]      (w:1, o:69, a:1, s:1, b:0), 
% 0.73/1.12  'v_evso'  [51, 0]      (w:1, o:16, a:1, s:1, b:0), 
% 0.73/1.12  'tc_Event_Oevent'  [52, 0]      (w:1, o:17, a:1, s:1, b:0), 
% 0.73/1.12  'c_List_Oset'  [53, 2]      (w:1, o:65, a:1, s:1, b:0), 
% 0.73/1.12  'c_in'  [54, 3]      (w:1, o:70, a:1, s:1, b:0), 
% 0.73/1.12  'v_A'  [55, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.73/1.12  'c_Event_Obad'  [56, 0]      (w:1, o:18, a:1, s:1, b:0), 
% 0.73/1.12  'tc_Message_Oagent'  [57, 0]      (w:1, o:19, a:1, s:1, b:0), 
% 0.73/1.12  'c_Message_Oagent_OSpy'  [58, 0]      (w:1, o:20, a:1, s:1, b:0), 
% 0.73/1.12  'c_Event_Oknows'  [59, 2]      (w:1, o:68, a:1, s:1, b:0), 
% 0.73/1.12  'c_Message_Oparts'  [60, 1]      (w:1, o:38, a:1, s:1, b:0), 
% 0.73/1.12  'tc_Message_Omsg'  [61, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 0.73/1.12  'c_Message_Oanalz'  [66, 1]      (w:1, o:39, a:1, s:1, b:0).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  Starting Search:
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  Bliksems!, er is een bewijs:
% 0.73/1.12  % SZS status Unsatisfiable
% 0.73/1.12  % SZS output start Refutation
% 0.73/1.12  
% 0.73/1.12  clause( 0, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', 
% 0.73/1.12    'v_B', 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ), 
% 0.73/1.12    'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 
% 0.73/1.12    'v_B' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 
% 0.73/1.12    'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso', 
% 0.73/1.12    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.73/1.12  .
% 0.73/1.12  clause( 1, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ] )
% 0.73/1.12  .
% 0.73/1.12  clause( 2, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) )
% 0.73/1.12    , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso'
% 0.73/1.12     ) ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  .
% 0.73/1.12  clause( 3, [ =( 'c_Public_OshrK'( 'v_A' ), 'v_K' ) ] )
% 0.73/1.12  .
% 0.73/1.12  clause( 4, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T
% 0.73/1.12    , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 
% 0.73/1.12    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ), 
% 0.73/1.12    'tc_Message_Omsg' ) ] )
% 0.73/1.12  .
% 0.73/1.12  clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( 
% 0.73/1.12    Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ), 
% 0.73/1.12    'tc_Message_Omsg' ) ] )
% 0.73/1.12  .
% 0.73/1.12  clause( 6, [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ), 
% 0.73/1.12    'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.73/1.12  .
% 0.73/1.12  clause( 7, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'( 
% 0.73/1.12    Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ), 
% 0.73/1.12    'tc_Message_Omsg' ) ] )
% 0.73/1.12  .
% 0.73/1.12  clause( 8, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Oparts'( 
% 0.73/1.12    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) ), 
% 0.73/1.12    'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  .
% 0.73/1.12  clause( 17, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 
% 0.73/1.12    'v_NA' ), 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 
% 0.73/1.12    'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'( 
% 0.73/1.12    'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) )
% 0.73/1.12    , 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso'
% 0.73/1.12     ) ), 'tc_Message_Omsg' ) ] )
% 0.73/1.12  .
% 0.73/1.12  clause( 26, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~( 
% 0.73/1.12    'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Oanalz'( Y ), 
% 0.73/1.12    'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  .
% 0.73/1.12  clause( 27, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OKey'( 
% 0.73/1.12    'v_K' ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy'
% 0.73/1.12    , 'v_evso' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  .
% 0.73/1.12  clause( 30, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, 
% 0.73/1.12    'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 
% 0.73/1.12    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.73/1.12     ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  .
% 0.73/1.12  clause( 36, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, 
% 0.73/1.12    'c_Message_Omsg_OMPair'( Y, Z ) ), 'c_Message_Oanalz'( T ), 
% 0.73/1.12    'tc_Message_Omsg' ) ), 'c_in'( Z, 'c_Message_Oparts'( T ), 
% 0.73/1.12    'tc_Message_Omsg' ) ] )
% 0.73/1.12  .
% 0.73/1.12  clause( 57, [] )
% 0.73/1.12  .
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  % SZS output end Refutation
% 0.73/1.12  found a proof!
% 0.73/1.12  
% 0.73/1.12  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.12  
% 0.73/1.12  initialclauses(
% 0.73/1.12  [ clause( 59, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer'
% 0.73/1.12    , 'v_B', 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ), 
% 0.73/1.12    'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 
% 0.73/1.12    'v_B' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 
% 0.73/1.12    'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso', 
% 0.73/1.12    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.73/1.12  , clause( 60, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ]
% 0.73/1.12     )
% 0.73/1.12  , clause( 61, [ 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ), ~( 
% 0.73/1.12    'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ), 
% 0.73/1.12    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.73/1.12     ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  , clause( 62, [ =( 'c_Public_OshrK'( 'v_A' ), 'v_K' ), 'c_in'( 'v_A', 
% 0.73/1.12    'c_Event_Obad', 'tc_Message_Oagent' ) ] )
% 0.73/1.12  , clause( 63, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( 
% 0.73/1.12    T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 
% 0.73/1.12    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ), 
% 0.73/1.12    'tc_Message_Omsg' ) ] )
% 0.73/1.12  , clause( 64, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 0.73/1.12    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 0.73/1.12    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.73/1.12  , clause( 65, [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' )
% 0.73/1.12     ), 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.73/1.12  , clause( 66, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 0.73/1.12    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 0.73/1.12    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.73/1.12  ] ).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  subsumption(
% 0.73/1.12  clause( 0, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer', 
% 0.73/1.12    'v_B', 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ), 
% 0.73/1.12    'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 
% 0.73/1.12    'v_B' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 
% 0.73/1.12    'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso', 
% 0.73/1.12    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.73/1.12  , clause( 59, [ 'c_in'( 'c_Event_Oevent_OSays'( 'c_Message_Oagent_OServer'
% 0.73/1.12    , 'v_B', 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ), 
% 0.73/1.12    'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 
% 0.73/1.12    'v_B' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 
% 0.73/1.12    'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso', 
% 0.73/1.12    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.73/1.12  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  subsumption(
% 0.73/1.12  clause( 1, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ] )
% 0.73/1.12  , clause( 60, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ]
% 0.73/1.12     )
% 0.73/1.12  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  resolution(
% 0.73/1.12  clause( 67, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) )
% 0.73/1.12    , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso'
% 0.73/1.12     ) ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  , clause( 1, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ]
% 0.73/1.12     )
% 0.73/1.12  , 0, clause( 61, [ 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ), 
% 0.73/1.12    ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) ), 
% 0.73/1.12    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.73/1.12     ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  subsumption(
% 0.73/1.12  clause( 2, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' ) )
% 0.73/1.12    , 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso'
% 0.73/1.12     ) ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  , clause( 67, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A' )
% 0.73/1.12     ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 
% 0.73/1.12    'v_evso' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  resolution(
% 0.73/1.12  clause( 70, [ =( 'c_Public_OshrK'( 'v_A' ), 'v_K' ) ] )
% 0.73/1.12  , clause( 1, [ ~( 'c_in'( 'v_A', 'c_Event_Obad', 'tc_Message_Oagent' ) ) ]
% 0.73/1.12     )
% 0.73/1.12  , 0, clause( 62, [ =( 'c_Public_OshrK'( 'v_A' ), 'v_K' ), 'c_in'( 'v_A', 
% 0.73/1.12    'c_Event_Obad', 'tc_Message_Oagent' ) ] )
% 0.73/1.12  , 1, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  subsumption(
% 0.73/1.12  clause( 3, [ =( 'c_Public_OshrK'( 'v_A' ), 'v_K' ) ] )
% 0.73/1.12  , clause( 70, [ =( 'c_Public_OshrK'( 'v_A' ), 'v_K' ) ] )
% 0.73/1.12  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  subsumption(
% 0.73/1.12  clause( 4, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( T
% 0.73/1.12    , 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 
% 0.73/1.12    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ), 
% 0.73/1.12    'tc_Message_Omsg' ) ] )
% 0.73/1.12  , clause( 63, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( 
% 0.73/1.12    T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 
% 0.73/1.12    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ), 
% 0.73/1.12    'tc_Message_Omsg' ) ] )
% 0.73/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.73/1.12    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  subsumption(
% 0.73/1.12  clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( 
% 0.73/1.12    Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ), 
% 0.73/1.12    'tc_Message_Omsg' ) ] )
% 0.73/1.12  , clause( 64, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 0.73/1.12    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 0.73/1.12    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.73/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.73/1.12    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  subsumption(
% 0.73/1.12  clause( 6, [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' ) ), 
% 0.73/1.12    'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.73/1.12  , clause( 65, [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg' )
% 0.73/1.12     ), 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.73/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.12     ), ==>( 1, 1 )] ) ).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  subsumption(
% 0.73/1.12  clause( 7, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 'c_Message_Oparts'( 
% 0.73/1.12    Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 'c_Message_Oparts'( Z ), 
% 0.73/1.12    'tc_Message_Omsg' ) ] )
% 0.73/1.12  , clause( 66, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 0.73/1.12    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 0.73/1.12    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.73/1.12  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.73/1.12    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  paramod(
% 0.73/1.12  clause( 77, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Oparts'( 
% 0.73/1.12    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) ), 
% 0.73/1.12    'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  , clause( 3, [ =( 'c_Public_OshrK'( 'v_A' ), 'v_K' ) ] )
% 0.73/1.12  , 0, clause( 2, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'c_Public_OshrK'( 'v_A'
% 0.73/1.12     ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 
% 0.73/1.12    'v_evso' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  , 0, 3, substitution( 0, [] ), substitution( 1, [] )).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  subsumption(
% 0.73/1.12  clause( 8, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 'c_Message_Oparts'( 
% 0.73/1.12    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) ), 
% 0.73/1.12    'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  , clause( 77, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 
% 0.73/1.12    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.73/1.12     ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  resolution(
% 0.73/1.12  clause( 78, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 
% 0.73/1.12    'v_NA' ), 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 
% 0.73/1.12    'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'( 
% 0.73/1.12    'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) )
% 0.73/1.12    , 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso'
% 0.73/1.12     ) ), 'tc_Message_Omsg' ) ] )
% 0.73/1.12  , clause( 4, [ ~( 'c_in'( 'c_Event_Oevent_OSays'( X, Y, Z ), 'c_List_Oset'( 
% 0.73/1.12    T, 'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ), 'c_in'( Z, 
% 0.73/1.12    'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', T ) ), 
% 0.73/1.12    'tc_Message_Omsg' ) ] )
% 0.73/1.12  , 0, clause( 0, [ 'c_in'( 'c_Event_Oevent_OSays'( 
% 0.73/1.12    'c_Message_Oagent_OServer', 'v_B', 'c_Message_Omsg_OMPair'( 
% 0.73/1.12    'c_Message_Omsg_ONonce'( 'v_NA' ), 'c_Message_Omsg_OMPair'( 'v_X', 
% 0.73/1.12    'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ), 
% 0.73/1.12    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 
% 0.73/1.12    'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), 'c_List_Oset'( 'v_evso', 
% 0.73/1.12    'tc_Event_Oevent' ), 'tc_Event_Oevent' ) ] )
% 0.73/1.12  , 0, substitution( 0, [ :=( X, 'c_Message_Oagent_OServer' ), :=( Y, 'v_B' )
% 0.73/1.12    , :=( Z, 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NA' ), 
% 0.73/1.12    'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 
% 0.73/1.12    'v_B' ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 
% 0.73/1.12    'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) ) ), :=( T, 'v_evso' )] ), 
% 0.73/1.12    substitution( 1, [] )).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  subsumption(
% 0.73/1.12  clause( 17, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 
% 0.73/1.12    'v_NA' ), 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 
% 0.73/1.12    'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'( 
% 0.73/1.12    'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) )
% 0.73/1.12    , 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso'
% 0.73/1.12     ) ), 'tc_Message_Omsg' ) ] )
% 0.73/1.12  , clause( 78, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 
% 0.73/1.12    'v_NA' ), 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 
% 0.73/1.12    'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'( 
% 0.73/1.12    'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) )
% 0.73/1.12    , 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso'
% 0.73/1.12     ) ), 'tc_Message_Omsg' ) ] )
% 0.73/1.12  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  resolution(
% 0.73/1.12  clause( 79, [ 'c_in'( Y, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), ~( 
% 0.73/1.12    'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ), 
% 0.73/1.12    'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  , clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 0.73/1.12    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 0.73/1.12    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.73/1.12  , 0, clause( 6, [ ~( 'c_in'( X, 'c_Message_Oanalz'( Y ), 'tc_Message_Omsg'
% 0.73/1.12     ) ), 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.73/1.12  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.73/1.12    substitution( 1, [ :=( X, 'c_Message_Omsg_OMPair'( X, Y ) ), :=( Y, Z )] )
% 0.73/1.12    ).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  subsumption(
% 0.73/1.12  clause( 26, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~( 
% 0.73/1.12    'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Oanalz'( Y ), 
% 0.73/1.12    'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  , clause( 79, [ 'c_in'( Y, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), 
% 0.73/1.12    ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oanalz'( Z ), 
% 0.73/1.12    'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ), 
% 0.73/1.12    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  resolution(
% 0.73/1.12  clause( 80, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OKey'( 
% 0.73/1.12    'v_K' ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy'
% 0.73/1.12    , 'v_evso' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  , clause( 8, [ ~( 'c_in'( 'c_Message_Omsg_OKey'( 'v_K' ), 
% 0.73/1.12    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.73/1.12     ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  , 0, clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 0.73/1.12    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 0.73/1.12    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.73/1.12  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, 
% 0.73/1.12    'c_Message_Omsg_OKey'( 'v_K' ) ), :=( Z, 'c_Event_Oknows'( 
% 0.73/1.12    'c_Message_Oagent_OSpy', 'v_evso' ) )] )).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  subsumption(
% 0.73/1.12  clause( 27, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OKey'( 
% 0.73/1.12    'v_K' ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy'
% 0.73/1.12    , 'v_evso' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  , clause( 80, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, 
% 0.73/1.12    'c_Message_Omsg_OKey'( 'v_K' ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 
% 0.73/1.12    'c_Message_Oagent_OSpy', 'v_evso' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  resolution(
% 0.73/1.12  clause( 81, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( Y, 
% 0.73/1.12    'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 
% 0.73/1.12    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.73/1.12     ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  , clause( 27, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, 
% 0.73/1.12    'c_Message_Omsg_OKey'( 'v_K' ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 
% 0.73/1.12    'c_Message_Oagent_OSpy', 'v_evso' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  , 0, clause( 7, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, Y ), 
% 0.73/1.12    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 0.73/1.12    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.73/1.12  , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 0.73/1.12    , 'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OKey'( 'v_K' ) ) ), :=( Z, 
% 0.73/1.12    'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' ) )] )).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  subsumption(
% 0.73/1.12  clause( 30, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, 
% 0.73/1.12    'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 
% 0.73/1.12    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.73/1.12     ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  , clause( 81, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( Y, 
% 0.73/1.12    'c_Message_Omsg_OMPair'( X, 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 
% 0.73/1.12    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.73/1.12     ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 0.73/1.12     )] ) ).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  resolution(
% 0.73/1.12  clause( 82, [ 'c_in'( Y, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), ~( 
% 0.73/1.12    'c_in'( 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_OMPair'( X, Y ) ), 
% 0.73/1.12    'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  , clause( 5, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 0.73/1.12    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( Y, 
% 0.73/1.12    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.73/1.12  , 0, clause( 26, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' )
% 0.73/1.12    , ~( 'c_in'( 'c_Message_Omsg_OMPair'( Z, X ), 'c_Message_Oanalz'( Y ), 
% 0.73/1.12    'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.73/1.12    substitution( 1, [ :=( X, 'c_Message_Omsg_OMPair'( X, Y ) ), :=( Y, Z ), 
% 0.73/1.12    :=( Z, T )] )).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  subsumption(
% 0.73/1.12  clause( 36, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, 
% 0.73/1.12    'c_Message_Omsg_OMPair'( Y, Z ) ), 'c_Message_Oanalz'( T ), 
% 0.73/1.12    'tc_Message_Omsg' ) ), 'c_in'( Z, 'c_Message_Oparts'( T ), 
% 0.73/1.12    'tc_Message_Omsg' ) ] )
% 0.73/1.12  , clause( 82, [ 'c_in'( Y, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), 
% 0.73/1.12    ~( 'c_in'( 'c_Message_Omsg_OMPair'( T, 'c_Message_Omsg_OMPair'( X, Y ) )
% 0.73/1.12    , 'c_Message_Oanalz'( Z ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, T ), :=( T, X )] ), 
% 0.73/1.12    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  resolution(
% 0.73/1.12  clause( 83, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ), 
% 0.73/1.12    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 
% 0.73/1.12    'c_Message_Omsg_OKey'( 'v_K' ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 
% 0.73/1.12    'c_Message_Oagent_OSpy', 'v_evso' ) ), 'tc_Message_Omsg' ) ] )
% 0.73/1.12  , clause( 36, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, 
% 0.73/1.12    'c_Message_Omsg_OMPair'( Y, Z ) ), 'c_Message_Oanalz'( T ), 
% 0.73/1.12    'tc_Message_Omsg' ) ), 'c_in'( Z, 'c_Message_Oparts'( T ), 
% 0.73/1.12    'tc_Message_Omsg' ) ] )
% 0.73/1.12  , 0, clause( 17, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 
% 0.73/1.12    'v_NA' ), 'c_Message_Omsg_OMPair'( 'v_X', 'c_Message_Omsg_OCrypt'( 
% 0.73/1.12    'c_Public_OshrK'( 'v_B' ), 'c_Message_Omsg_OMPair'( 
% 0.73/1.12    'c_Message_Omsg_ONonce'( 'v_NB' ), 'c_Message_Omsg_OKey'( 'v_K' ) ) ) ) )
% 0.73/1.12    , 'c_Message_Oanalz'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso'
% 0.73/1.12     ) ), 'tc_Message_Omsg' ) ] )
% 0.73/1.12  , 0, substitution( 0, [ :=( X, 'c_Message_Omsg_ONonce'( 'v_NA' ) ), :=( Y, 
% 0.73/1.12    'v_X' ), :=( Z, 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B' ), 
% 0.73/1.12    'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 
% 0.73/1.12    'c_Message_Omsg_OKey'( 'v_K' ) ) ) ), :=( T, 'c_Event_Oknows'( 
% 0.73/1.12    'c_Message_Oagent_OSpy', 'v_evso' ) )] ), substitution( 1, [] )).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  resolution(
% 0.73/1.12  clause( 84, [] )
% 0.73/1.12  , clause( 30, [ ~( 'c_in'( 'c_Message_Omsg_OCrypt'( X, 
% 0.73/1.12    'c_Message_Omsg_OMPair'( Y, 'c_Message_Omsg_OKey'( 'v_K' ) ) ), 
% 0.73/1.12    'c_Message_Oparts'( 'c_Event_Oknows'( 'c_Message_Oagent_OSpy', 'v_evso' )
% 0.73/1.12     ), 'tc_Message_Omsg' ) ) ] )
% 0.73/1.12  , 0, clause( 83, [ 'c_in'( 'c_Message_Omsg_OCrypt'( 'c_Public_OshrK'( 'v_B'
% 0.73/1.12     ), 'c_Message_Omsg_OMPair'( 'c_Message_Omsg_ONonce'( 'v_NB' ), 
% 0.73/1.12    'c_Message_Omsg_OKey'( 'v_K' ) ) ), 'c_Message_Oparts'( 'c_Event_Oknows'( 
% 0.73/1.12    'c_Message_Oagent_OSpy', 'v_evso' ) ), 'tc_Message_Omsg' ) ] )
% 0.73/1.12  , 0, substitution( 0, [ :=( X, 'c_Public_OshrK'( 'v_B' ) ), :=( Y, 
% 0.73/1.12    'c_Message_Omsg_ONonce'( 'v_NB' ) )] ), substitution( 1, [] )).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  subsumption(
% 0.73/1.12  clause( 57, [] )
% 0.73/1.12  , clause( 84, [] )
% 0.73/1.12  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  end.
% 0.73/1.12  
% 0.73/1.12  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.73/1.12  
% 0.73/1.12  Memory use:
% 0.73/1.12  
% 0.73/1.12  space for terms:        1034
% 0.73/1.12  space for clauses:      5209
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  clauses generated:      90
% 0.73/1.12  clauses kept:           58
% 0.73/1.12  clauses selected:       29
% 0.73/1.12  clauses deleted:        1
% 0.73/1.12  clauses inuse deleted:  0
% 0.73/1.12  
% 0.73/1.12  subsentry:          68
% 0.73/1.12  literals s-matched: 50
% 0.73/1.12  literals matched:   50
% 0.73/1.12  full subsumption:   0
% 0.73/1.12  
% 0.73/1.12  checksum:           -1893071148
% 0.73/1.12  
% 0.73/1.12  
% 0.73/1.12  Bliksem ended
%------------------------------------------------------------------------------