TSTP Solution File: SWV250-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV250-2 : TPTP v8.1.0. Released v3.2.0.
% 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 16:23:11 EDT 2022

% Result   : Unsatisfiable 0.69s 1.09s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWV250-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Tue Jun 14 16:42:18 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.69/1.09  *** allocated 10000 integers for termspace/termends
% 0.69/1.09  *** allocated 10000 integers for clauses
% 0.69/1.09  *** allocated 10000 integers for justifications
% 0.69/1.09  Bliksem 1.12
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  Automatic Strategy Selection
% 0.69/1.09  
% 0.69/1.09  Clauses:
% 0.69/1.09  [
% 0.69/1.09     [ 'c_in'( 'v_x', 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( 
% 0.69/1.09    'c_Message_Oanalz'( 'v_G' ) ), 'v_H', 'tc_Message_Omsg' ) ), 
% 0.69/1.09    'tc_Message_Omsg' ) ],
% 0.69/1.09     [ ~( 'c_in'( 'v_x', 'c_union'( 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 0.69/1.09    'v_G' ) ), 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg'
% 0.69/1.09     ) ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ],
% 0.69/1.09     [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Oanalz'( X ), Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( 'c_union'( X, Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ) ) ],
% 0.69/1.09     [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( X ), Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oanalz'( 'c_union'( X, Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ) ) ]
% 0.69/1.09    ,
% 0.69/1.09     [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 'c_in'( 
% 0.69/1.09    X, Y, T ) ],
% 0.69/1.09     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 0.69/1.09     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ]
% 0.69/1.09  ] .
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  percentage equality = 0.181818, percentage horn = 0.857143
% 0.69/1.09  This is a problem with some equality
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  Options Used:
% 0.69/1.09  
% 0.69/1.09  useres =            1
% 0.69/1.09  useparamod =        1
% 0.69/1.09  useeqrefl =         1
% 0.69/1.09  useeqfact =         1
% 0.69/1.09  usefactor =         1
% 0.69/1.09  usesimpsplitting =  0
% 0.69/1.09  usesimpdemod =      5
% 0.69/1.09  usesimpres =        3
% 0.69/1.09  
% 0.69/1.09  resimpinuse      =  1000
% 0.69/1.09  resimpclauses =     20000
% 0.69/1.09  substype =          eqrewr
% 0.69/1.09  backwardsubs =      1
% 0.69/1.09  selectoldest =      5
% 0.69/1.09  
% 0.69/1.09  litorderings [0] =  split
% 0.69/1.09  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.69/1.09  
% 0.69/1.09  termordering =      kbo
% 0.69/1.09  
% 0.69/1.09  litapriori =        0
% 0.69/1.09  termapriori =       1
% 0.69/1.09  litaposteriori =    0
% 0.69/1.09  termaposteriori =   0
% 0.69/1.09  demodaposteriori =  0
% 0.69/1.09  ordereqreflfact =   0
% 0.69/1.09  
% 0.69/1.09  litselect =         negord
% 0.69/1.09  
% 0.69/1.09  maxweight =         15
% 0.69/1.09  maxdepth =          30000
% 0.69/1.09  maxlength =         115
% 0.69/1.09  maxnrvars =         195
% 0.69/1.09  excuselevel =       1
% 0.69/1.09  increasemaxweight = 1
% 0.69/1.09  
% 0.69/1.09  maxselected =       10000000
% 0.69/1.09  maxnrclauses =      10000000
% 0.69/1.09  
% 0.69/1.09  showgenerated =    0
% 0.69/1.09  showkept =         0
% 0.69/1.09  showselected =     0
% 0.69/1.09  showdeleted =      0
% 0.69/1.09  showresimp =       1
% 0.69/1.09  showstatus =       2000
% 0.69/1.09  
% 0.69/1.09  prologoutput =     1
% 0.69/1.09  nrgoals =          5000000
% 0.69/1.09  totalproof =       1
% 0.69/1.09  
% 0.69/1.09  Symbols occurring in the translation:
% 0.69/1.09  
% 0.69/1.09  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.69/1.09  .  [1, 2]      (w:1, o:26, a:1, s:1, b:0), 
% 0.69/1.09  !  [4, 1]      (w:0, o:19, a:1, s:1, b:0), 
% 0.69/1.09  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.69/1.09  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.69/1.09  'v_x'  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.69/1.09  'v_G'  [40, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.69/1.09  'c_Message_Oanalz'  [41, 1]      (w:1, o:24, a:1, s:1, b:0), 
% 0.69/1.09  'c_Message_Osynth'  [42, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.69/1.09  'v_H'  [43, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.69/1.09  'tc_Message_Omsg'  [44, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.69/1.09  'c_union'  [45, 3]      (w:1, o:51, a:1, s:1, b:0), 
% 0.69/1.09  'c_in'  [46, 3]      (w:1, o:52, a:1, s:1, b:0).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  Starting Search:
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  Bliksems!, er is een bewijs:
% 0.69/1.09  % SZS status Unsatisfiable
% 0.69/1.09  % SZS output start Refutation
% 0.69/1.09  
% 0.69/1.09  clause( 0, [ 'c_in'( 'v_x', 'c_Message_Oanalz'( 'c_union'( 
% 0.69/1.09    'c_Message_Osynth'( 'c_Message_Oanalz'( 'v_G' ) ), 'v_H', 
% 0.69/1.09    'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 1, [ ~( 'c_in'( 'v_x', 'c_union'( 'c_Message_Osynth'( 
% 0.69/1.09    'c_Message_Oanalz'( 'v_G' ) ), 'c_Message_Oanalz'( 'c_union'( 'v_G', 
% 0.69/1.09    'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) )
% 0.69/1.09     ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 2, [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Oanalz'( X ), Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( 'c_union'( X, Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ) ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 3, [ =( 'c_union'( 'c_Message_Oanalz'( 'c_union'( X, Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ), 
% 0.69/1.09    'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( X ), Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ) ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 4, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 
% 0.69/1.09    'c_in'( X, Y, T ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 5, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ]
% 0.69/1.09     )
% 0.69/1.09  .
% 0.69/1.09  clause( 6, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ]
% 0.69/1.09     )
% 0.69/1.09  .
% 0.69/1.09  clause( 17, [ ~( 'c_in'( 'v_x', 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 0.69/1.09    'v_G' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 18, [ ~( 'c_in'( 'v_x', 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H'
% 0.69/1.09    , 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 24, [ =( 'c_union'( 'c_Message_Oanalz'( 'c_union'( X, Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'c_Message_Oanalz'( X ) ), 
% 0.69/1.09    'tc_Message_Omsg' ), 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( 
% 0.69/1.09    'c_Message_Oanalz'( X ) ), Y, 'tc_Message_Omsg' ) ) ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 33, [ ~( 'c_in'( 'v_x', 'c_union'( X, 'c_Message_Osynth'( 
% 0.69/1.09    'c_Message_Oanalz'( 'v_G' ) ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) )
% 0.69/1.09    , 'c_in'( 'v_x', X, 'tc_Message_Omsg' ) ] )
% 0.69/1.09  .
% 0.69/1.09  clause( 42, [] )
% 0.69/1.09  .
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  % SZS output end Refutation
% 0.69/1.09  found a proof!
% 0.69/1.09  
% 0.69/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.09  
% 0.69/1.09  initialclauses(
% 0.69/1.09  [ clause( 44, [ 'c_in'( 'v_x', 'c_Message_Oanalz'( 'c_union'( 
% 0.69/1.09    'c_Message_Osynth'( 'c_Message_Oanalz'( 'v_G' ) ), 'v_H', 
% 0.69/1.09    'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 0.69/1.09  , clause( 45, [ ~( 'c_in'( 'v_x', 'c_union'( 'c_Message_Osynth'( 
% 0.69/1.09    'c_Message_Oanalz'( 'v_G' ) ), 'c_Message_Oanalz'( 'c_union'( 'v_G', 
% 0.69/1.09    'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) )
% 0.69/1.09     ] )
% 0.69/1.09  , clause( 46, [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Oanalz'( X ), 
% 0.69/1.09    Y, 'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( 'c_union'( X, Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ) ) ] )
% 0.69/1.09  , clause( 47, [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( X ), 
% 0.69/1.09    Y, 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oanalz'( 'c_union'( X, Y
% 0.69/1.09    , 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ) ) ]
% 0.69/1.09     )
% 0.69/1.09  , clause( 48, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T
% 0.69/1.09     ), 'c_in'( X, Y, T ) ] )
% 0.69/1.09  , clause( 49, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z
% 0.69/1.09     ) ] )
% 0.69/1.09  , clause( 50, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z
% 0.69/1.09     ) ] )
% 0.69/1.09  ] ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 0, [ 'c_in'( 'v_x', 'c_Message_Oanalz'( 'c_union'( 
% 0.69/1.09    'c_Message_Osynth'( 'c_Message_Oanalz'( 'v_G' ) ), 'v_H', 
% 0.69/1.09    'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 0.69/1.09  , clause( 44, [ 'c_in'( 'v_x', 'c_Message_Oanalz'( 'c_union'( 
% 0.69/1.09    'c_Message_Osynth'( 'c_Message_Oanalz'( 'v_G' ) ), 'v_H', 
% 0.69/1.09    'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 0.69/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 1, [ ~( 'c_in'( 'v_x', 'c_union'( 'c_Message_Osynth'( 
% 0.69/1.09    'c_Message_Oanalz'( 'v_G' ) ), 'c_Message_Oanalz'( 'c_union'( 'v_G', 
% 0.69/1.09    'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) )
% 0.69/1.09     ] )
% 0.69/1.09  , clause( 45, [ ~( 'c_in'( 'v_x', 'c_union'( 'c_Message_Osynth'( 
% 0.69/1.09    'c_Message_Oanalz'( 'v_G' ) ), 'c_Message_Oanalz'( 'c_union'( 'v_G', 
% 0.69/1.09    'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) )
% 0.69/1.09     ] )
% 0.69/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 2, [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Oanalz'( X ), Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( 'c_union'( X, Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ) ) ] )
% 0.69/1.09  , clause( 46, [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Oanalz'( X ), 
% 0.69/1.09    Y, 'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( 'c_union'( X, Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ) ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09     )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 53, [ =( 'c_union'( 'c_Message_Oanalz'( 'c_union'( X, Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ), 
% 0.69/1.09    'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( X ), Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ) ) ] )
% 0.69/1.09  , clause( 47, [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( X ), 
% 0.69/1.09    Y, 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oanalz'( 'c_union'( X, Y
% 0.69/1.09    , 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ) ) ]
% 0.69/1.09     )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 3, [ =( 'c_union'( 'c_Message_Oanalz'( 'c_union'( X, Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ), 
% 0.69/1.09    'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( X ), Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ) ) ] )
% 0.69/1.09  , clause( 53, [ =( 'c_union'( 'c_Message_Oanalz'( 'c_union'( X, Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ), 
% 0.69/1.09    'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( X ), Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ) ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09     )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 4, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 
% 0.69/1.09    'c_in'( X, Y, T ) ] )
% 0.69/1.09  , clause( 48, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T
% 0.69/1.09     ), 'c_in'( X, Y, T ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.69/1.09    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 5, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ]
% 0.69/1.09     )
% 0.69/1.09  , clause( 49, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z
% 0.69/1.09     ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.69/1.09    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 6, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ]
% 0.69/1.09     )
% 0.69/1.09  , clause( 50, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z
% 0.69/1.09     ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.69/1.09    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  resolution(
% 0.69/1.09  clause( 63, [ ~( 'c_in'( 'v_x', 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 0.69/1.09    'v_G' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.69/1.09  , clause( 1, [ ~( 'c_in'( 'v_x', 'c_union'( 'c_Message_Osynth'( 
% 0.69/1.09    'c_Message_Oanalz'( 'v_G' ) ), 'c_Message_Oanalz'( 'c_union'( 'v_G', 
% 0.69/1.09    'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) )
% 0.69/1.09     ] )
% 0.69/1.09  , 0, clause( 5, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), 
% 0.69/1.09    Z ) ] )
% 0.69/1.09  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_x' ), :=( Y, 
% 0.69/1.09    'c_Message_Osynth'( 'c_Message_Oanalz'( 'v_G' ) ) ), :=( Z, 
% 0.69/1.09    'tc_Message_Omsg' ), :=( T, 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 
% 0.69/1.09    'tc_Message_Omsg' ) ) )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 17, [ ~( 'c_in'( 'v_x', 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 0.69/1.09    'v_G' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.69/1.09  , clause( 63, [ ~( 'c_in'( 'v_x', 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 0.69/1.09    'v_G' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.69/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  resolution(
% 0.69/1.09  clause( 64, [ ~( 'c_in'( 'v_x', 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H'
% 0.69/1.09    , 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.69/1.09  , clause( 1, [ ~( 'c_in'( 'v_x', 'c_union'( 'c_Message_Osynth'( 
% 0.69/1.09    'c_Message_Oanalz'( 'v_G' ) ), 'c_Message_Oanalz'( 'c_union'( 'v_G', 
% 0.69/1.09    'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) )
% 0.69/1.09     ] )
% 0.69/1.09  , 0, clause( 6, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), 
% 0.69/1.09    Z ) ] )
% 0.69/1.09  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_x' ), :=( Y, 
% 0.69/1.09    'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ) ), 
% 0.69/1.09    :=( Z, 'tc_Message_Omsg' ), :=( T, 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 0.69/1.09    'v_G' ) ) )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 18, [ ~( 'c_in'( 'v_x', 'c_Message_Oanalz'( 'c_union'( 'v_G', 'v_H'
% 0.69/1.09    , 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.69/1.09  , clause( 64, [ ~( 'c_in'( 'v_x', 'c_Message_Oanalz'( 'c_union'( 'v_G', 
% 0.69/1.09    'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.69/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 66, [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( X ), Y
% 0.69/1.09    , 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oanalz'( 'c_union'( X, Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ) ) ]
% 0.69/1.09     )
% 0.69/1.09  , clause( 3, [ =( 'c_union'( 'c_Message_Oanalz'( 'c_union'( X, Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' ), 
% 0.69/1.09    'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( X ), Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ) ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 71, [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( 
% 0.69/1.09    'c_Message_Oanalz'( X ) ), Y, 'tc_Message_Omsg' ) ), 'c_union'( 
% 0.69/1.09    'c_Message_Oanalz'( 'c_union'( X, Y, 'tc_Message_Omsg' ) ), 
% 0.69/1.09    'c_Message_Osynth'( 'c_Message_Oanalz'( X ) ), 'tc_Message_Omsg' ) ) ] )
% 0.69/1.09  , clause( 2, [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Oanalz'( X ), Y
% 0.69/1.09    , 'tc_Message_Omsg' ) ), 'c_Message_Oanalz'( 'c_union'( X, Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ) ) ] )
% 0.69/1.09  , 0, clause( 66, [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( X
% 0.69/1.09     ), Y, 'tc_Message_Omsg' ) ), 'c_union'( 'c_Message_Oanalz'( 'c_union'( X
% 0.69/1.09    , Y, 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( X ), 'tc_Message_Omsg' )
% 0.69/1.09     ) ] )
% 0.69/1.09  , 0, 9, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ 
% 0.69/1.09    :=( X, 'c_Message_Oanalz'( X ) ), :=( Y, Y )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  eqswap(
% 0.69/1.09  clause( 72, [ =( 'c_union'( 'c_Message_Oanalz'( 'c_union'( X, Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'c_Message_Oanalz'( X ) ), 
% 0.69/1.09    'tc_Message_Omsg' ), 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( 
% 0.69/1.09    'c_Message_Oanalz'( X ) ), Y, 'tc_Message_Omsg' ) ) ) ] )
% 0.69/1.09  , clause( 71, [ =( 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( 
% 0.69/1.09    'c_Message_Oanalz'( X ) ), Y, 'tc_Message_Omsg' ) ), 'c_union'( 
% 0.69/1.09    'c_Message_Oanalz'( 'c_union'( X, Y, 'tc_Message_Omsg' ) ), 
% 0.69/1.09    'c_Message_Osynth'( 'c_Message_Oanalz'( X ) ), 'tc_Message_Omsg' ) ) ] )
% 0.69/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 24, [ =( 'c_union'( 'c_Message_Oanalz'( 'c_union'( X, Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'c_Message_Oanalz'( X ) ), 
% 0.69/1.09    'tc_Message_Omsg' ), 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( 
% 0.69/1.09    'c_Message_Oanalz'( X ) ), Y, 'tc_Message_Omsg' ) ) ) ] )
% 0.69/1.09  , clause( 72, [ =( 'c_union'( 'c_Message_Oanalz'( 'c_union'( X, Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'c_Message_Oanalz'( X ) ), 
% 0.69/1.09    'tc_Message_Omsg' ), 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( 
% 0.69/1.09    'c_Message_Oanalz'( X ) ), Y, 'tc_Message_Omsg' ) ) ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.69/1.09     )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  resolution(
% 0.69/1.09  clause( 73, [ ~( 'c_in'( 'v_x', 'c_union'( X, 'c_Message_Osynth'( 
% 0.69/1.09    'c_Message_Oanalz'( 'v_G' ) ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) )
% 0.69/1.09    , 'c_in'( 'v_x', X, 'tc_Message_Omsg' ) ] )
% 0.69/1.09  , clause( 17, [ ~( 'c_in'( 'v_x', 'c_Message_Osynth'( 'c_Message_Oanalz'( 
% 0.69/1.09    'v_G' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.69/1.09  , 0, clause( 4, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, 
% 0.69/1.09    T ), 'c_in'( X, Y, T ) ] )
% 0.69/1.09  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_x' ), :=( Y, X ), 
% 0.69/1.09    :=( Z, 'c_Message_Osynth'( 'c_Message_Oanalz'( 'v_G' ) ) ), :=( T, 
% 0.69/1.09    'tc_Message_Omsg' )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 33, [ ~( 'c_in'( 'v_x', 'c_union'( X, 'c_Message_Osynth'( 
% 0.69/1.09    'c_Message_Oanalz'( 'v_G' ) ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) )
% 0.69/1.09    , 'c_in'( 'v_x', X, 'tc_Message_Omsg' ) ] )
% 0.69/1.09  , clause( 73, [ ~( 'c_in'( 'v_x', 'c_union'( X, 'c_Message_Osynth'( 
% 0.69/1.09    'c_Message_Oanalz'( 'v_G' ) ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) )
% 0.69/1.09    , 'c_in'( 'v_x', X, 'tc_Message_Omsg' ) ] )
% 0.69/1.09  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 0.69/1.09    1 )] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  resolution(
% 0.69/1.09  clause( 76, [ ~( 'c_in'( 'v_x', 'c_union'( 'c_Message_Oanalz'( 'c_union'( 
% 0.69/1.09    'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 
% 0.69/1.09    'c_Message_Oanalz'( 'v_G' ) ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) )
% 0.69/1.09     ] )
% 0.69/1.09  , clause( 18, [ ~( 'c_in'( 'v_x', 'c_Message_Oanalz'( 'c_union'( 'v_G', 
% 0.69/1.09    'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.69/1.09  , 0, clause( 33, [ ~( 'c_in'( 'v_x', 'c_union'( X, 'c_Message_Osynth'( 
% 0.69/1.09    'c_Message_Oanalz'( 'v_G' ) ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) )
% 0.69/1.09    , 'c_in'( 'v_x', X, 'tc_Message_Omsg' ) ] )
% 0.69/1.09  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Message_Oanalz'( 
% 0.69/1.09    'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ) )] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  paramod(
% 0.69/1.09  clause( 77, [ ~( 'c_in'( 'v_x', 'c_Message_Oanalz'( 'c_union'( 
% 0.69/1.09    'c_Message_Osynth'( 'c_Message_Oanalz'( 'v_G' ) ), 'v_H', 
% 0.69/1.09    'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.69/1.09  , clause( 24, [ =( 'c_union'( 'c_Message_Oanalz'( 'c_union'( X, Y, 
% 0.69/1.09    'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 'c_Message_Oanalz'( X ) ), 
% 0.69/1.09    'tc_Message_Omsg' ), 'c_Message_Oanalz'( 'c_union'( 'c_Message_Osynth'( 
% 0.69/1.09    'c_Message_Oanalz'( X ) ), Y, 'tc_Message_Omsg' ) ) ) ] )
% 0.69/1.09  , 0, clause( 76, [ ~( 'c_in'( 'v_x', 'c_union'( 'c_Message_Oanalz'( 
% 0.69/1.09    'c_union'( 'v_G', 'v_H', 'tc_Message_Omsg' ) ), 'c_Message_Osynth'( 
% 0.69/1.09    'c_Message_Oanalz'( 'v_G' ) ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) )
% 0.69/1.09     ] )
% 0.69/1.09  , 0, 3, substitution( 0, [ :=( X, 'v_G' ), :=( Y, 'v_H' )] ), 
% 0.69/1.09    substitution( 1, [] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  resolution(
% 0.69/1.09  clause( 78, [] )
% 0.69/1.09  , clause( 77, [ ~( 'c_in'( 'v_x', 'c_Message_Oanalz'( 'c_union'( 
% 0.69/1.09    'c_Message_Osynth'( 'c_Message_Oanalz'( 'v_G' ) ), 'v_H', 
% 0.69/1.09    'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 0.69/1.09  , 0, clause( 0, [ 'c_in'( 'v_x', 'c_Message_Oanalz'( 'c_union'( 
% 0.69/1.09    'c_Message_Osynth'( 'c_Message_Oanalz'( 'v_G' ) ), 'v_H', 
% 0.69/1.09    'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 0.69/1.09  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  subsumption(
% 0.69/1.09  clause( 42, [] )
% 0.69/1.09  , clause( 78, [] )
% 0.69/1.09  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  end.
% 0.69/1.09  
% 0.69/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.69/1.09  
% 0.69/1.09  Memory use:
% 0.69/1.09  
% 0.69/1.09  space for terms:        890
% 0.69/1.09  space for clauses:      4113
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  clauses generated:      131
% 0.69/1.09  clauses kept:           43
% 0.69/1.09  clauses selected:       17
% 0.69/1.09  clauses deleted:        0
% 0.69/1.09  clauses inuse deleted:  0
% 0.69/1.09  
% 0.69/1.09  subsentry:          208
% 0.69/1.09  literals s-matched: 139
% 0.69/1.09  literals matched:   139
% 0.69/1.09  full subsumption:   17
% 0.69/1.09  
% 0.69/1.09  checksum:           -81728383
% 0.69/1.09  
% 0.69/1.09  
% 0.69/1.09  Bliksem ended
%------------------------------------------------------------------------------