TSTP Solution File: SWV270-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV270-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n010.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 16:23:26 EDT 2022

% Result   : Unsatisfiable 0.76s 1.13s
% Output   : Refutation 0.76s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SWV270-2 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.14  % Command  : bliksem %s
% 0.14/0.36  % Computer : n010.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % DateTime : Wed Jun 15 15:04:24 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.76/1.13  *** allocated 10000 integers for termspace/termends
% 0.76/1.13  *** allocated 10000 integers for clauses
% 0.76/1.13  *** allocated 10000 integers for justifications
% 0.76/1.13  Bliksem 1.12
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  Automatic Strategy Selection
% 0.76/1.13  
% 0.76/1.13  Clauses:
% 0.76/1.13  [
% 0.76/1.13     [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 'c_union'( 
% 0.76/1.13    'c_Message_Oparts'( 'v_H' ), 'c_Message_Osynth'( 'v_H' ), 
% 0.76/1.13    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ],
% 0.76/1.13     [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oparts'( 'v_H' ), 
% 0.76/1.13    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ]
% 0.76/1.13    ,
% 0.76/1.13     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ), 
% 0.76/1.13    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( Z ), 
% 0.76/1.13    'tc_Message_Omsg' ) ],
% 0.76/1.13     [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( Z ), 
% 0.76/1.13    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( Z ), 
% 0.76/1.13    'tc_Message_Omsg' ), 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), Z, 
% 0.76/1.13    'tc_Message_Omsg' ) ],
% 0.76/1.13     [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Oparts'( 
% 0.76/1.13    Y ), 'tc_Message_Omsg' ) ],
% 0.76/1.13     [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), 'c_in'( 
% 0.76/1.13    X, Y, T ) ],
% 0.76/1.13     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z ) ],
% 0.76/1.13     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z ) ]
% 0.76/1.13  ] .
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  percentage equality = 0.000000, percentage horn = 0.750000
% 0.76/1.13  This a non-horn, non-equality problem
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  Options Used:
% 0.76/1.13  
% 0.76/1.13  useres =            1
% 0.76/1.13  useparamod =        0
% 0.76/1.13  useeqrefl =         0
% 0.76/1.13  useeqfact =         0
% 0.76/1.13  usefactor =         1
% 0.76/1.13  usesimpsplitting =  0
% 0.76/1.13  usesimpdemod =      0
% 0.76/1.13  usesimpres =        3
% 0.76/1.13  
% 0.76/1.13  resimpinuse      =  1000
% 0.76/1.13  resimpclauses =     20000
% 0.76/1.13  substype =          standard
% 0.76/1.13  backwardsubs =      1
% 0.76/1.13  selectoldest =      5
% 0.76/1.13  
% 0.76/1.13  litorderings [0] =  split
% 0.76/1.13  litorderings [1] =  liftord
% 0.76/1.13  
% 0.76/1.13  termordering =      none
% 0.76/1.13  
% 0.76/1.13  litapriori =        1
% 0.76/1.13  termapriori =       0
% 0.76/1.13  litaposteriori =    0
% 0.76/1.13  termaposteriori =   0
% 0.76/1.13  demodaposteriori =  0
% 0.76/1.13  ordereqreflfact =   0
% 0.76/1.13  
% 0.76/1.13  litselect =         none
% 0.76/1.13  
% 0.76/1.13  maxweight =         15
% 0.76/1.13  maxdepth =          30000
% 0.76/1.13  maxlength =         115
% 0.76/1.13  maxnrvars =         195
% 0.76/1.13  excuselevel =       1
% 0.76/1.13  increasemaxweight = 1
% 0.76/1.13  
% 0.76/1.13  maxselected =       10000000
% 0.76/1.13  maxnrclauses =      10000000
% 0.76/1.13  
% 0.76/1.13  showgenerated =    0
% 0.76/1.13  showkept =         0
% 0.76/1.13  showselected =     0
% 0.76/1.13  showdeleted =      0
% 0.76/1.13  showresimp =       1
% 0.76/1.13  showstatus =       2000
% 0.76/1.13  
% 0.76/1.13  prologoutput =     1
% 0.76/1.13  nrgoals =          5000000
% 0.76/1.13  totalproof =       1
% 0.76/1.13  
% 0.76/1.13  Symbols occurring in the translation:
% 0.76/1.13  
% 0.76/1.13  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.76/1.13  .  [1, 2]      (w:1, o:27, a:1, s:1, b:0), 
% 0.76/1.13  !  [4, 1]      (w:0, o:20, a:1, s:1, b:0), 
% 0.76/1.13  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.76/1.13  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.76/1.13  'v_X'  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.76/1.13  'v_Y'  [40, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.76/1.13  'c_Message_Omsg_OMPair'  [41, 2]      (w:1, o:52, a:1, s:1, b:0), 
% 0.76/1.13  'v_H'  [42, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.76/1.13  'c_Message_Oparts'  [43, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.76/1.13  'c_Message_Osynth'  [44, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 0.76/1.13  'tc_Message_Omsg'  [45, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.76/1.13  'c_union'  [46, 3]      (w:1, o:53, a:1, s:1, b:0), 
% 0.76/1.13  'c_in'  [47, 3]      (w:1, o:54, a:1, s:1, b:0).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  Starting Search:
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  Bliksems!, er is een bewijs:
% 0.76/1.13  % SZS status Unsatisfiable
% 0.76/1.13  % SZS output start Refutation
% 0.76/1.13  
% 0.76/1.13  clause( 0, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 'c_union'( 
% 0.76/1.13    'c_Message_Oparts'( 'v_H' ), 'c_Message_Osynth'( 'v_H' ), 
% 0.76/1.13    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ] )
% 0.76/1.13  .
% 0.76/1.13  clause( 1, [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oparts'( 'v_H' ), 
% 0.76/1.13    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ]
% 0.76/1.13     )
% 0.76/1.13  .
% 0.76/1.13  clause( 2, [ 'c_in'( X, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), ~( 
% 0.76/1.13    'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ), 
% 0.76/1.13    'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  .
% 0.76/1.13  clause( 3, [ 'c_in'( X, 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 
% 0.76/1.13    'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ), ~( 
% 0.76/1.13    'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( Z ), 
% 0.76/1.13    'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  .
% 0.76/1.13  clause( 4, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~( 
% 0.76/1.13    'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  .
% 0.76/1.13  clause( 5, [ 'c_in'( X, Z, T ), 'c_in'( X, Y, T ), ~( 'c_in'( X, 'c_union'( 
% 0.76/1.13    Y, Z, T ), T ) ) ] )
% 0.76/1.13  .
% 0.76/1.13  clause( 6, [ 'c_in'( X, 'c_union'( Y, T, Z ), Z ), ~( 'c_in'( X, Y, Z ) ) ]
% 0.76/1.13     )
% 0.76/1.13  .
% 0.76/1.13  clause( 7, [ 'c_in'( X, 'c_union'( T, Y, Z ), Z ), ~( 'c_in'( X, Y, Z ) ) ]
% 0.76/1.13     )
% 0.76/1.13  .
% 0.76/1.13  clause( 15, [ ~( 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_H' ), 
% 0.76/1.13    'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  .
% 0.76/1.13  clause( 27, [ ~( 'c_in'( 'v_X', 'c_Message_Oparts'( 'v_H' ), 
% 0.76/1.13    'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  .
% 0.76/1.13  clause( 39, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 
% 0.76/1.13    'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  .
% 0.76/1.13  clause( 48, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 'v_H', 
% 0.76/1.13    'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  .
% 0.76/1.13  clause( 54, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 
% 0.76/1.13    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  .
% 0.76/1.13  clause( 87, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 
% 0.76/1.13    'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ] )
% 0.76/1.13  .
% 0.76/1.13  clause( 98, [] )
% 0.76/1.13  .
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  % SZS output end Refutation
% 0.76/1.13  found a proof!
% 0.76/1.13  
% 0.76/1.13  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.13  
% 0.76/1.13  initialclauses(
% 0.76/1.13  [ clause( 100, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 'c_union'( 
% 0.76/1.13    'c_Message_Oparts'( 'v_H' ), 'c_Message_Osynth'( 'v_H' ), 
% 0.76/1.13    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ] )
% 0.76/1.13  , clause( 101, [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oparts'( 'v_H' ), 
% 0.76/1.13    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ]
% 0.76/1.13     )
% 0.76/1.13  , clause( 102, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 0.76/1.13    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 0.76/1.13    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.76/1.13  , clause( 103, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 0.76/1.13    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 0.76/1.13    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 'c_in'( 
% 0.76/1.13    'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ] )
% 0.76/1.13  , clause( 104, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 0.76/1.13    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.76/1.13  , clause( 105, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T
% 0.76/1.13     ), 'c_in'( X, Y, T ) ] )
% 0.76/1.13  , clause( 106, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z
% 0.76/1.13     ) ] )
% 0.76/1.13  , clause( 107, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z
% 0.76/1.13     ) ] )
% 0.76/1.13  ] ).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  subsumption(
% 0.76/1.13  clause( 0, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 'c_union'( 
% 0.76/1.13    'c_Message_Oparts'( 'v_H' ), 'c_Message_Osynth'( 'v_H' ), 
% 0.76/1.13    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ] )
% 0.76/1.13  , clause( 100, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 'c_union'( 
% 0.76/1.13    'c_Message_Oparts'( 'v_H' ), 'c_Message_Osynth'( 'v_H' ), 
% 0.76/1.13    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ] )
% 0.76/1.13  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  subsumption(
% 0.76/1.13  clause( 1, [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oparts'( 'v_H' ), 
% 0.76/1.13    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ]
% 0.76/1.13     )
% 0.76/1.13  , clause( 101, [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oparts'( 'v_H' ), 
% 0.76/1.13    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ]
% 0.76/1.13     )
% 0.76/1.13  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  subsumption(
% 0.76/1.13  clause( 2, [ 'c_in'( X, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), ~( 
% 0.76/1.13    'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ), 
% 0.76/1.13    'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , clause( 102, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 0.76/1.13    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 0.76/1.13    'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ) ] )
% 0.76/1.13  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.76/1.13    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  subsumption(
% 0.76/1.13  clause( 3, [ 'c_in'( X, 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 
% 0.76/1.13    'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ), ~( 
% 0.76/1.13    'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( Z ), 
% 0.76/1.13    'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , clause( 103, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 
% 0.76/1.13    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 0.76/1.13    'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 'c_in'( 
% 0.76/1.13    'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ) ] )
% 0.76/1.13  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.76/1.13    permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  subsumption(
% 0.76/1.13  clause( 4, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), ~( 
% 0.76/1.13    'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , clause( 104, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 0.76/1.13    'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ) ] )
% 0.76/1.13  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 0.76/1.13     ), ==>( 1, 0 )] ) ).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  subsumption(
% 0.76/1.13  clause( 5, [ 'c_in'( X, Z, T ), 'c_in'( X, Y, T ), ~( 'c_in'( X, 'c_union'( 
% 0.76/1.13    Y, Z, T ), T ) ) ] )
% 0.76/1.13  , clause( 105, [ ~( 'c_in'( X, 'c_union'( Y, Z, T ), T ) ), 'c_in'( X, Z, T
% 0.76/1.13     ), 'c_in'( X, Y, T ) ] )
% 0.76/1.13  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.76/1.13    permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  subsumption(
% 0.76/1.13  clause( 6, [ 'c_in'( X, 'c_union'( Y, T, Z ), Z ), ~( 'c_in'( X, Y, Z ) ) ]
% 0.76/1.13     )
% 0.76/1.13  , clause( 106, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( Y, T, Z ), Z
% 0.76/1.13     ) ] )
% 0.76/1.13  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.76/1.13    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  subsumption(
% 0.76/1.13  clause( 7, [ 'c_in'( X, 'c_union'( T, Y, Z ), Z ), ~( 'c_in'( X, Y, Z ) ) ]
% 0.76/1.13     )
% 0.76/1.13  , clause( 107, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_union'( T, Y, Z ), Z
% 0.76/1.13     ) ] )
% 0.76/1.13  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.76/1.13    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  resolution(
% 0.76/1.13  clause( 111, [ ~( 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_H' ), 
% 0.76/1.13    'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , clause( 1, [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oparts'( 'v_H' ), 
% 0.76/1.13    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ]
% 0.76/1.13     )
% 0.76/1.13  , 0, clause( 7, [ 'c_in'( X, 'c_union'( T, Y, Z ), Z ), ~( 'c_in'( X, Y, Z
% 0.76/1.13     ) ) ] )
% 0.76/1.13  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_X' ), :=( Y, 
% 0.76/1.13    'c_Message_Osynth'( 'v_H' ) ), :=( Z, 'tc_Message_Omsg' ), :=( T, 
% 0.76/1.13    'c_Message_Oparts'( 'v_H' ) )] )).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  subsumption(
% 0.76/1.13  clause( 15, [ ~( 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_H' ), 
% 0.76/1.13    'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , clause( 111, [ ~( 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_H' ), 
% 0.76/1.13    'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  resolution(
% 0.76/1.13  clause( 112, [ ~( 'c_in'( 'v_X', 'c_Message_Oparts'( 'v_H' ), 
% 0.76/1.13    'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , clause( 1, [ ~( 'c_in'( 'v_X', 'c_union'( 'c_Message_Oparts'( 'v_H' ), 
% 0.76/1.13    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ]
% 0.76/1.13     )
% 0.76/1.13  , 0, clause( 6, [ 'c_in'( X, 'c_union'( Y, T, Z ), Z ), ~( 'c_in'( X, Y, Z
% 0.76/1.13     ) ) ] )
% 0.76/1.13  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_X' ), :=( Y, 
% 0.76/1.13    'c_Message_Oparts'( 'v_H' ) ), :=( Z, 'tc_Message_Omsg' ), :=( T, 
% 0.76/1.13    'c_Message_Osynth'( 'v_H' ) )] )).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  subsumption(
% 0.76/1.13  clause( 27, [ ~( 'c_in'( 'v_X', 'c_Message_Oparts'( 'v_H' ), 
% 0.76/1.13    'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , clause( 112, [ ~( 'c_in'( 'v_X', 'c_Message_Oparts'( 'v_H' ), 
% 0.76/1.13    'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  resolution(
% 0.76/1.13  clause( 113, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 
% 0.76/1.13    'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , clause( 27, [ ~( 'c_in'( 'v_X', 'c_Message_Oparts'( 'v_H' ), 
% 0.76/1.13    'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , 0, clause( 2, [ 'c_in'( X, 'c_Message_Oparts'( Z ), 'tc_Message_Omsg' ), 
% 0.76/1.13    ~( 'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Oparts'( Z ), 
% 0.76/1.13    'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_X' ), :=( Y, X ), 
% 0.76/1.13    :=( Z, 'v_H' )] )).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  subsumption(
% 0.76/1.13  clause( 39, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 
% 0.76/1.13    'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , clause( 113, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 
% 0.76/1.13    'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  resolution(
% 0.76/1.13  clause( 114, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 'v_H', 
% 0.76/1.13    'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , clause( 39, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 
% 0.76/1.13    'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , 0, clause( 4, [ 'c_in'( X, 'c_Message_Oparts'( Y ), 'tc_Message_Omsg' ), 
% 0.76/1.13    ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, 
% 0.76/1.13    'c_Message_Omsg_OMPair'( 'v_X', X ) ), :=( Y, 'v_H' )] )).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  subsumption(
% 0.76/1.13  clause( 48, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 'v_H', 
% 0.76/1.13    'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , clause( 114, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 'v_H', 
% 0.76/1.13    'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  resolution(
% 0.76/1.13  clause( 115, [ 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_H' ), 
% 0.76/1.13    'tc_Message_Omsg' ), ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 
% 0.76/1.13    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , clause( 48, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 'v_H', 
% 0.76/1.13    'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , 0, clause( 3, [ 'c_in'( X, 'c_Message_Osynth'( Z ), 'tc_Message_Omsg' ), 
% 0.76/1.13    'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), Z, 'tc_Message_Omsg' ), ~( 
% 0.76/1.13    'c_in'( 'c_Message_Omsg_OMPair'( X, Y ), 'c_Message_Osynth'( Z ), 
% 0.76/1.13    'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, 'v_X' ), 
% 0.76/1.13    :=( Y, X ), :=( Z, 'v_H' )] )).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  resolution(
% 0.76/1.13  clause( 116, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 
% 0.76/1.13    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , clause( 15, [ ~( 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_H' ), 
% 0.76/1.13    'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , 0, clause( 115, [ 'c_in'( 'v_X', 'c_Message_Osynth'( 'v_H' ), 
% 0.76/1.13    'tc_Message_Omsg' ), ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 
% 0.76/1.13    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  subsumption(
% 0.76/1.13  clause( 54, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 
% 0.76/1.13    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , clause( 116, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 
% 0.76/1.13    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  resolution(
% 0.76/1.13  clause( 117, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 
% 0.76/1.13    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'c_in'( 
% 0.76/1.13    'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 'c_Message_Oparts'( 'v_H' ), 
% 0.76/1.13    'tc_Message_Omsg' ) ] )
% 0.76/1.13  , clause( 5, [ 'c_in'( X, Z, T ), 'c_in'( X, Y, T ), ~( 'c_in'( X, 
% 0.76/1.13    'c_union'( Y, Z, T ), T ) ) ] )
% 0.76/1.13  , 2, clause( 0, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 
% 0.76/1.13    'c_union'( 'c_Message_Oparts'( 'v_H' ), 'c_Message_Osynth'( 'v_H' ), 
% 0.76/1.13    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ] )
% 0.76/1.13  , 0, substitution( 0, [ :=( X, 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ) ), 
% 0.76/1.13    :=( Y, 'c_Message_Oparts'( 'v_H' ) ), :=( Z, 'c_Message_Osynth'( 'v_H' )
% 0.76/1.13     ), :=( T, 'tc_Message_Omsg' )] ), substitution( 1, [] )).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  resolution(
% 0.76/1.13  clause( 118, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 
% 0.76/1.13    'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ] )
% 0.76/1.13  , clause( 54, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 
% 0.76/1.13    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , 0, clause( 117, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 
% 0.76/1.13    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'c_in'( 
% 0.76/1.13    'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 'c_Message_Oparts'( 'v_H' ), 
% 0.76/1.13    'tc_Message_Omsg' ) ] )
% 0.76/1.13  , 0, substitution( 0, [ :=( X, 'v_Y' )] ), substitution( 1, [] )).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  subsumption(
% 0.76/1.13  clause( 87, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 
% 0.76/1.13    'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ] )
% 0.76/1.13  , clause( 118, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 
% 0.76/1.13    'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ] )
% 0.76/1.13  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  resolution(
% 0.76/1.13  clause( 119, [] )
% 0.76/1.13  , clause( 39, [ ~( 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', X ), 
% 0.76/1.13    'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 0.76/1.13  , 0, clause( 87, [ 'c_in'( 'c_Message_Omsg_OMPair'( 'v_X', 'v_Y' ), 
% 0.76/1.13    'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ] )
% 0.76/1.13  , 0, substitution( 0, [ :=( X, 'v_Y' )] ), substitution( 1, [] )).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  subsumption(
% 0.76/1.13  clause( 98, [] )
% 0.76/1.13  , clause( 119, [] )
% 0.76/1.13  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  end.
% 0.76/1.13  
% 0.76/1.13  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.13  
% 0.76/1.13  Memory use:
% 0.76/1.13  
% 0.76/1.13  space for terms:        1711
% 0.76/1.13  space for clauses:      6732
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  clauses generated:      162
% 0.76/1.13  clauses kept:           99
% 0.76/1.13  clauses selected:       21
% 0.76/1.13  clauses deleted:        1
% 0.76/1.13  clauses inuse deleted:  0
% 0.76/1.13  
% 0.76/1.13  subsentry:          183
% 0.76/1.13  literals s-matched: 152
% 0.76/1.13  literals matched:   152
% 0.76/1.13  full subsumption:   28
% 0.76/1.13  
% 0.76/1.13  checksum:           710659956
% 0.76/1.13  
% 0.76/1.13  
% 0.76/1.13  Bliksem ended
%------------------------------------------------------------------------------