TSTP Solution File: SWV275-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV275-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n023.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 16:23:30 EDT 2022

% Result   : Unsatisfiable 4.28s 4.66s
% Output   : Refutation 4.28s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV275-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Wed Jun 15 00:56:05 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 4.28/4.66  *** allocated 10000 integers for termspace/termends
% 4.28/4.66  *** allocated 10000 integers for clauses
% 4.28/4.66  *** allocated 10000 integers for justifications
% 4.28/4.66  Bliksem 1.12
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  Automatic Strategy Selection
% 4.28/4.66  
% 4.28/4.66  Clauses:
% 4.28/4.66  [
% 4.28/4.66     [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( 
% 4.28/4.66    Y ), 'tc_Message_Omsg' ) ],
% 4.28/4.66     [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_Message_Omsg' ) ) ), 
% 4.28/4.66    'c_lessequals'( 'c_Message_Osynth'( X ), 'c_Message_Osynth'( Y ), 
% 4.28/4.66    'tc_set'( 'tc_Message_Omsg' ) ) ],
% 4.28/4.66     [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z ) ],
% 4.28/4.66     [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 4.28/4.66     [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), =( X, Y
% 4.28/4.66     ) ],
% 4.28/4.66     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z ) ) ), 
% 4.28/4.66    'c_in'( X, T, Z ) ],
% 4.28/4.66     [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 'c_lessequals'( X, Y
% 4.28/4.66    , 'tc_set'( Z ) ) ],
% 4.28/4.66     [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 'c_lessequals'( 
% 4.28/4.66    X, Y, 'tc_set'( Z ) ) ],
% 4.28/4.66     [ ~( 'c_lessequals'( 'c_insert'( 'v_X', 'c_Message_Osynth'( 'v_H' ), 
% 4.28/4.66    'tc_Message_Omsg' ), 'c_Message_Osynth'( 'c_insert'( 'v_X', 'v_H', 
% 4.28/4.66    'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ]
% 4.28/4.66  ] .
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  percentage equality = 0.055556, percentage horn = 0.777778
% 4.28/4.66  This is a problem with some equality
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  Options Used:
% 4.28/4.66  
% 4.28/4.66  useres =            1
% 4.28/4.66  useparamod =        1
% 4.28/4.66  useeqrefl =         1
% 4.28/4.66  useeqfact =         1
% 4.28/4.66  usefactor =         1
% 4.28/4.66  usesimpsplitting =  0
% 4.28/4.66  usesimpdemod =      5
% 4.28/4.66  usesimpres =        3
% 4.28/4.66  
% 4.28/4.66  resimpinuse      =  1000
% 4.28/4.66  resimpclauses =     20000
% 4.28/4.66  substype =          eqrewr
% 4.28/4.66  backwardsubs =      1
% 4.28/4.66  selectoldest =      5
% 4.28/4.66  
% 4.28/4.66  litorderings [0] =  split
% 4.28/4.66  litorderings [1] =  extend the termordering, first sorting on arguments
% 4.28/4.66  
% 4.28/4.66  termordering =      kbo
% 4.28/4.66  
% 4.28/4.66  litapriori =        0
% 4.28/4.66  termapriori =       1
% 4.28/4.66  litaposteriori =    0
% 4.28/4.66  termaposteriori =   0
% 4.28/4.66  demodaposteriori =  0
% 4.28/4.66  ordereqreflfact =   0
% 4.28/4.66  
% 4.28/4.66  litselect =         negord
% 4.28/4.66  
% 4.28/4.66  maxweight =         15
% 4.28/4.66  maxdepth =          30000
% 4.28/4.66  maxlength =         115
% 4.28/4.66  maxnrvars =         195
% 4.28/4.66  excuselevel =       1
% 4.28/4.66  increasemaxweight = 1
% 4.28/4.66  
% 4.28/4.66  maxselected =       10000000
% 4.28/4.66  maxnrclauses =      10000000
% 4.28/4.66  
% 4.28/4.66  showgenerated =    0
% 4.28/4.66  showkept =         0
% 4.28/4.66  showselected =     0
% 4.28/4.66  showdeleted =      0
% 4.28/4.66  showresimp =       1
% 4.28/4.66  showstatus =       2000
% 4.28/4.66  
% 4.28/4.66  prologoutput =     1
% 4.28/4.66  nrgoals =          5000000
% 4.28/4.66  totalproof =       1
% 4.28/4.66  
% 4.28/4.66  Symbols occurring in the translation:
% 4.28/4.66  
% 4.28/4.66  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 4.28/4.66  .  [1, 2]      (w:1, o:29, a:1, s:1, b:0), 
% 4.28/4.66  !  [4, 1]      (w:0, o:22, a:1, s:1, b:0), 
% 4.28/4.66  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 4.28/4.66  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 4.28/4.66  'tc_Message_Omsg'  [41, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 4.28/4.66  'c_in'  [42, 3]      (w:1, o:54, a:1, s:1, b:0), 
% 4.28/4.66  'c_Message_Osynth'  [43, 1]      (w:1, o:27, a:1, s:1, b:0), 
% 4.28/4.66  'tc_set'  [45, 1]      (w:1, o:28, a:1, s:1, b:0), 
% 4.28/4.66  'c_lessequals'  [46, 3]      (w:1, o:55, a:1, s:1, b:0), 
% 4.28/4.66  'c_insert'  [51, 3]      (w:1, o:56, a:1, s:1, b:0), 
% 4.28/4.66  'c_Main_OsubsetI__1'  [55, 3]      (w:1, o:57, a:1, s:1, b:0), 
% 4.28/4.66  'v_X'  [56, 0]      (w:1, o:20, a:1, s:1, b:0), 
% 4.28/4.66  'v_H'  [57, 0]      (w:1, o:21, a:1, s:1, b:0).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  Starting Search:
% 4.28/4.66  
% 4.28/4.66  Resimplifying inuse:
% 4.28/4.66  Done
% 4.28/4.66  
% 4.28/4.66  Failed to find proof!
% 4.28/4.66  maxweight =   15
% 4.28/4.66  maxnrclauses = 10000000
% 4.28/4.66  Generated: 233617
% 4.28/4.66  Kept: 702
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  The strategy used was not complete!
% 4.28/4.66  
% 4.28/4.66  Increased maxweight to 16
% 4.28/4.66  
% 4.28/4.66  Starting Search:
% 4.28/4.66  
% 4.28/4.66  Resimplifying inuse:
% 4.28/4.66  Done
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  Bliksems!, er is een bewijs:
% 4.28/4.66  % SZS status Unsatisfiable
% 4.28/4.66  % SZS output start Refutation
% 4.28/4.66  
% 4.28/4.66  clause( 0, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 4.28/4.66    'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ] )
% 4.28/4.66  .
% 4.28/4.66  clause( 1, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_Message_Omsg' ) ) ), 
% 4.28/4.66    'c_lessequals'( 'c_Message_Osynth'( X ), 'c_Message_Osynth'( Y ), 
% 4.28/4.66    'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  .
% 4.28/4.66  clause( 2, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z )
% 4.28/4.66     ] )
% 4.28/4.66  .
% 4.28/4.66  clause( 3, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 4.28/4.66  .
% 4.28/4.66  clause( 4, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T )
% 4.28/4.66    , =( X, Y ) ] )
% 4.28/4.66  .
% 4.28/4.66  clause( 5, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z )
% 4.28/4.66     ) ), 'c_in'( X, T, Z ) ] )
% 4.28/4.66  .
% 4.28/4.66  clause( 6, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 
% 4.28/4.66    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 4.28/4.66  .
% 4.28/4.66  clause( 7, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 
% 4.28/4.66    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 4.28/4.66  .
% 4.28/4.66  clause( 8, [ ~( 'c_lessequals'( 'c_insert'( 'v_X', 'c_Message_Osynth'( 
% 4.28/4.66    'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Osynth'( 'c_insert'( 'v_X', 
% 4.28/4.66    'v_H', 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 4.28/4.66  .
% 4.28/4.66  clause( 10, [ 'c_in'( X, 'c_Message_Osynth'( 'c_insert'( X, Y, 
% 4.28/4.66    'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 4.28/4.66  .
% 4.28/4.66  clause( 70, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, 'tc_Message_Omsg' ), Y
% 4.28/4.66    , 'tc_Message_Omsg' ) ), 'c_lessequals'( 'c_Message_Osynth'( X ), 
% 4.28/4.66    'c_Message_Osynth'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  .
% 4.28/4.66  clause( 111, [ 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ), 
% 4.28/4.66    'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ), Y, Z ), =( 
% 4.28/4.66    'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ), X ) ] )
% 4.28/4.66  .
% 4.28/4.66  clause( 112, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), 'c_in'( 
% 4.28/4.66    'c_Main_OsubsetI__1'( X, Y, Z ), 'c_insert'( T, X, Z ), Z ) ] )
% 4.28/4.66  .
% 4.28/4.66  clause( 134, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 
% 4.28/4.66    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Osynth'( 
% 4.28/4.66    'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 
% 4.28/4.66    'c_Message_Osynth'( 'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 
% 4.28/4.66    'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  .
% 4.28/4.66  clause( 241, [ 'c_lessequals'( 'c_Message_Osynth'( X ), 'c_Message_Osynth'( 
% 4.28/4.66    'c_insert'( Y, X, 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) )
% 4.28/4.66     ] )
% 4.28/4.66  .
% 4.28/4.66  clause( 248, [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) )
% 4.28/4.66    , 'c_in'( X, 'c_Message_Osynth'( 'c_insert'( Z, Y, 'tc_Message_Omsg' ) )
% 4.28/4.66    , 'tc_Message_Omsg' ) ] )
% 4.28/4.66  .
% 4.28/4.66  clause( 630, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 
% 4.28/4.66    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Osynth'( 
% 4.28/4.66    'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 
% 4.28/4.66    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  .
% 4.28/4.66  clause( 1716, [ =( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 
% 4.28/4.66    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Osynth'( 
% 4.28/4.66    'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 
% 4.28/4.66    'v_X' ) ] )
% 4.28/4.66  .
% 4.28/4.66  clause( 1724, [] )
% 4.28/4.66  .
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  % SZS output end Refutation
% 4.28/4.66  found a proof!
% 4.28/4.66  
% 4.28/4.66  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.28/4.66  
% 4.28/4.66  initialclauses(
% 4.28/4.66  [ clause( 1726, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 4.28/4.66    'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ] )
% 4.28/4.66  , clause( 1727, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_Message_Omsg' ) )
% 4.28/4.66     ), 'c_lessequals'( 'c_Message_Osynth'( X ), 'c_Message_Osynth'( Y ), 
% 4.28/4.66    'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  , clause( 1728, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z )
% 4.28/4.66    , Z ) ] )
% 4.28/4.66  , clause( 1729, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 4.28/4.66  , clause( 1730, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 4.28/4.66    , T ), =( X, Y ) ] )
% 4.28/4.66  , clause( 1731, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( 
% 4.28/4.66    Z ) ) ), 'c_in'( X, T, Z ) ] )
% 4.28/4.66  , clause( 1732, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 
% 4.28/4.66    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 4.28/4.66  , clause( 1733, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 
% 4.28/4.66    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 4.28/4.66  , clause( 1734, [ ~( 'c_lessequals'( 'c_insert'( 'v_X', 'c_Message_Osynth'( 
% 4.28/4.66    'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Osynth'( 'c_insert'( 'v_X', 
% 4.28/4.66    'v_H', 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 4.28/4.66  ] ).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  subsumption(
% 4.28/4.66  clause( 0, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 4.28/4.66    'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ] )
% 4.28/4.66  , clause( 1726, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 4.28/4.66    'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ] )
% 4.28/4.66  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.28/4.66     ), ==>( 1, 1 )] ) ).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  subsumption(
% 4.28/4.66  clause( 1, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_Message_Omsg' ) ) ), 
% 4.28/4.66    'c_lessequals'( 'c_Message_Osynth'( X ), 'c_Message_Osynth'( Y ), 
% 4.28/4.66    'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  , clause( 1727, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_Message_Omsg' ) )
% 4.28/4.66     ), 'c_lessequals'( 'c_Message_Osynth'( X ), 'c_Message_Osynth'( Y ), 
% 4.28/4.66    'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.28/4.66     ), ==>( 1, 1 )] ) ).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  subsumption(
% 4.28/4.66  clause( 2, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z )
% 4.28/4.66     ] )
% 4.28/4.66  , clause( 1728, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z )
% 4.28/4.66    , Z ) ] )
% 4.28/4.66  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 4.28/4.66    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  subsumption(
% 4.28/4.66  clause( 3, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 4.28/4.66  , clause( 1729, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 4.28/4.66  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 4.28/4.66    permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  subsumption(
% 4.28/4.66  clause( 4, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T )
% 4.28/4.66    , =( X, Y ) ] )
% 4.28/4.66  , clause( 1730, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z
% 4.28/4.66    , T ), =( X, Y ) ] )
% 4.28/4.66  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 4.28/4.66    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  subsumption(
% 4.28/4.66  clause( 5, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z )
% 4.28/4.66     ) ), 'c_in'( X, T, Z ) ] )
% 4.28/4.66  , clause( 1731, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( 
% 4.28/4.66    Z ) ) ), 'c_in'( X, T, Z ) ] )
% 4.28/4.66  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 4.28/4.66    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  subsumption(
% 4.28/4.66  clause( 6, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 
% 4.28/4.66    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 4.28/4.66  , clause( 1732, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 
% 4.28/4.66    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 4.28/4.66  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 4.28/4.66    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  subsumption(
% 4.28/4.66  clause( 7, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 
% 4.28/4.66    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 4.28/4.66  , clause( 1733, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 
% 4.28/4.66    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 4.28/4.66  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 4.28/4.66    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  subsumption(
% 4.28/4.66  clause( 8, [ ~( 'c_lessequals'( 'c_insert'( 'v_X', 'c_Message_Osynth'( 
% 4.28/4.66    'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Osynth'( 'c_insert'( 'v_X', 
% 4.28/4.66    'v_H', 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 4.28/4.66  , clause( 1734, [ ~( 'c_lessequals'( 'c_insert'( 'v_X', 'c_Message_Osynth'( 
% 4.28/4.66    'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Osynth'( 'c_insert'( 'v_X', 
% 4.28/4.66    'v_H', 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 4.28/4.66  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  resolution(
% 4.28/4.66  clause( 1740, [ 'c_in'( X, 'c_Message_Osynth'( 'c_insert'( X, Y, 
% 4.28/4.66    'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 4.28/4.66  , clause( 0, [ ~( 'c_in'( X, Y, 'tc_Message_Omsg' ) ), 'c_in'( X, 
% 4.28/4.66    'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) ] )
% 4.28/4.66  , 0, clause( 3, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 4.28/4.66  , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_insert'( X, Y, 
% 4.28/4.66    'tc_Message_Omsg' ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( 
% 4.28/4.66    Z, 'tc_Message_Omsg' )] )).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  subsumption(
% 4.28/4.66  clause( 10, [ 'c_in'( X, 'c_Message_Osynth'( 'c_insert'( X, Y, 
% 4.28/4.66    'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 4.28/4.66  , clause( 1740, [ 'c_in'( X, 'c_Message_Osynth'( 'c_insert'( X, Y, 
% 4.28/4.66    'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 4.28/4.66  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.28/4.66     )] ) ).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  resolution(
% 4.28/4.66  clause( 1741, [ 'c_lessequals'( 'c_Message_Osynth'( X ), 'c_Message_Osynth'( 
% 4.28/4.66    Y ), 'tc_set'( 'tc_Message_Omsg' ) ), ~( 'c_in'( 'c_Main_OsubsetI__1'( X
% 4.28/4.66    , Y, 'tc_Message_Omsg' ), Y, 'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  , clause( 1, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_Message_Omsg' ) ) ), 
% 4.28/4.66    'c_lessequals'( 'c_Message_Osynth'( X ), 'c_Message_Osynth'( Y ), 
% 4.28/4.66    'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  , 0, clause( 7, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 
% 4.28/4.66    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 4.28/4.66  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 4.28/4.66    , X ), :=( Y, Y ), :=( Z, 'tc_Message_Omsg' )] )).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  subsumption(
% 4.28/4.66  clause( 70, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, 'tc_Message_Omsg' ), Y
% 4.28/4.66    , 'tc_Message_Omsg' ) ), 'c_lessequals'( 'c_Message_Osynth'( X ), 
% 4.28/4.66    'c_Message_Osynth'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  , clause( 1741, [ 'c_lessequals'( 'c_Message_Osynth'( X ), 
% 4.28/4.66    'c_Message_Osynth'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ), ~( 'c_in'( 
% 4.28/4.66    'c_Main_OsubsetI__1'( X, Y, 'tc_Message_Omsg' ), Y, 'tc_Message_Omsg' ) )
% 4.28/4.66     ] )
% 4.28/4.66  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 4.28/4.66     ), ==>( 1, 0 )] ) ).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  eqswap(
% 4.28/4.66  clause( 1742, [ =( Y, X ), ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 
% 4.28/4.66    'c_in'( X, Z, T ) ] )
% 4.28/4.66  , clause( 4, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T
% 4.28/4.66     ), =( X, Y ) ] )
% 4.28/4.66  , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 4.28/4.66    ).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  resolution(
% 4.28/4.66  clause( 1743, [ =( X, 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ) )
% 4.28/4.66    , 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ), Y, Z ), 
% 4.28/4.66    'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ] )
% 4.28/4.66  , clause( 1742, [ =( Y, X ), ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 
% 4.28/4.66    'c_in'( X, Z, T ) ] )
% 4.28/4.66  , 1, clause( 6, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 
% 4.28/4.66    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 4.28/4.66  , 0, substitution( 0, [ :=( X, 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z )
% 4.28/4.66    , T, Z ) ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] ), substitution( 1, [ 
% 4.28/4.66    :=( X, 'c_insert'( X, Y, Z ) ), :=( Y, T ), :=( Z, Z )] )).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  eqswap(
% 4.28/4.66  clause( 1744, [ =( 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ), X )
% 4.28/4.66    , 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ), Y, Z ), 
% 4.28/4.66    'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ] )
% 4.28/4.66  , clause( 1743, [ =( X, 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z )
% 4.28/4.66     ), 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ), Y, Z ), 
% 4.28/4.66    'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ] )
% 4.28/4.66  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 4.28/4.66    ).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  subsumption(
% 4.28/4.66  clause( 111, [ 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ), 
% 4.28/4.66    'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ), Y, Z ), =( 
% 4.28/4.66    'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ), X ) ] )
% 4.28/4.66  , clause( 1744, [ =( 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ), X
% 4.28/4.66     ), 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ), Y, Z ), 
% 4.28/4.66    'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ) ] )
% 4.28/4.66  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 4.28/4.66    permutation( 0, [ ==>( 0, 2 ), ==>( 1, 1 ), ==>( 2, 0 )] ) ).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  resolution(
% 4.28/4.66  clause( 1745, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_insert'( T, X, 
% 4.28/4.66    Z ), Z ), 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 4.28/4.66  , clause( 2, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( X, 'c_insert'( T, Y, Z ), Z
% 4.28/4.66     ) ] )
% 4.28/4.66  , 0, clause( 6, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), X, Z ), 
% 4.28/4.66    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 4.28/4.66  , 0, substitution( 0, [ :=( X, 'c_Main_OsubsetI__1'( X, Y, Z ) ), :=( Y, X
% 4.28/4.66     ), :=( Z, Z ), :=( T, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )
% 4.28/4.66    , :=( Z, Z )] )).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  subsumption(
% 4.28/4.66  clause( 112, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), 'c_in'( 
% 4.28/4.66    'c_Main_OsubsetI__1'( X, Y, Z ), 'c_insert'( T, X, Z ), Z ) ] )
% 4.28/4.66  , clause( 1745, [ 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), 'c_insert'( T, X
% 4.28/4.66    , Z ), Z ), 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 4.28/4.66  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 4.28/4.66    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  resolution(
% 4.28/4.66  clause( 1746, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 
% 4.28/4.66    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Osynth'( 
% 4.28/4.66    'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 
% 4.28/4.66    'c_Message_Osynth'( 'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 
% 4.28/4.66    'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  , clause( 8, [ ~( 'c_lessequals'( 'c_insert'( 'v_X', 'c_Message_Osynth'( 
% 4.28/4.66    'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Osynth'( 'c_insert'( 'v_X', 
% 4.28/4.66    'v_H', 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 4.28/4.66  , 0, clause( 7, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, Z ), Y, Z ) ), 
% 4.28/4.66    'c_lessequals'( X, Y, 'tc_set'( Z ) ) ] )
% 4.28/4.66  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_insert'( 'v_X', 
% 4.28/4.66    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ) ), :=( Y, 
% 4.28/4.66    'c_Message_Osynth'( 'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ) ), 
% 4.28/4.66    :=( Z, 'tc_Message_Omsg' )] )).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  subsumption(
% 4.28/4.66  clause( 134, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 
% 4.28/4.66    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Osynth'( 
% 4.28/4.66    'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 
% 4.28/4.66    'c_Message_Osynth'( 'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 
% 4.28/4.66    'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  , clause( 1746, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 
% 4.28/4.66    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Osynth'( 
% 4.28/4.66    'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 
% 4.28/4.66    'c_Message_Osynth'( 'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 
% 4.28/4.66    'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  resolution(
% 4.28/4.66  clause( 1747, [ 'c_lessequals'( 'c_Message_Osynth'( X ), 'c_Message_Osynth'( 
% 4.28/4.66    'c_insert'( Y, X, 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) )
% 4.28/4.66    , 'c_lessequals'( X, 'c_insert'( Y, X, 'tc_Message_Omsg' ), 'tc_set'( 
% 4.28/4.66    'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  , clause( 70, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( X, Y, 'tc_Message_Omsg' )
% 4.28/4.66    , Y, 'tc_Message_Omsg' ) ), 'c_lessequals'( 'c_Message_Osynth'( X ), 
% 4.28/4.66    'c_Message_Osynth'( Y ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  , 0, clause( 112, [ 'c_lessequals'( X, Y, 'tc_set'( Z ) ), 'c_in'( 
% 4.28/4.66    'c_Main_OsubsetI__1'( X, Y, Z ), 'c_insert'( T, X, Z ), Z ) ] )
% 4.28/4.66  , 1, substitution( 0, [ :=( X, X ), :=( Y, 'c_insert'( Y, X, 
% 4.28/4.66    'tc_Message_Omsg' ) )] ), substitution( 1, [ :=( X, X ), :=( Y, 
% 4.28/4.66    'c_insert'( Y, X, 'tc_Message_Omsg' ) ), :=( Z, 'tc_Message_Omsg' ), :=( 
% 4.28/4.66    T, Y )] )).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  resolution(
% 4.28/4.66  clause( 1749, [ 'c_lessequals'( 'c_Message_Osynth'( X ), 'c_Message_Osynth'( 
% 4.28/4.66    'c_insert'( Y, X, 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) )
% 4.28/4.66    , 'c_lessequals'( 'c_Message_Osynth'( X ), 'c_Message_Osynth'( 'c_insert'( 
% 4.28/4.66    Y, X, 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  , clause( 1, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_Message_Omsg' ) ) ), 
% 4.28/4.66    'c_lessequals'( 'c_Message_Osynth'( X ), 'c_Message_Osynth'( Y ), 
% 4.28/4.66    'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  , 0, clause( 1747, [ 'c_lessequals'( 'c_Message_Osynth'( X ), 
% 4.28/4.66    'c_Message_Osynth'( 'c_insert'( Y, X, 'tc_Message_Omsg' ) ), 'tc_set'( 
% 4.28/4.66    'tc_Message_Omsg' ) ), 'c_lessequals'( X, 'c_insert'( Y, X, 
% 4.28/4.66    'tc_Message_Omsg' ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  , 1, substitution( 0, [ :=( X, X ), :=( Y, 'c_insert'( Y, X, 
% 4.28/4.66    'tc_Message_Omsg' ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 4.28/4.66    ).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  factor(
% 4.28/4.66  clause( 1750, [ 'c_lessequals'( 'c_Message_Osynth'( X ), 'c_Message_Osynth'( 
% 4.28/4.66    'c_insert'( Y, X, 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) )
% 4.28/4.66     ] )
% 4.28/4.66  , clause( 1749, [ 'c_lessequals'( 'c_Message_Osynth'( X ), 
% 4.28/4.66    'c_Message_Osynth'( 'c_insert'( Y, X, 'tc_Message_Omsg' ) ), 'tc_set'( 
% 4.28/4.66    'tc_Message_Omsg' ) ), 'c_lessequals'( 'c_Message_Osynth'( X ), 
% 4.28/4.66    'c_Message_Osynth'( 'c_insert'( Y, X, 'tc_Message_Omsg' ) ), 'tc_set'( 
% 4.28/4.66    'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  subsumption(
% 4.28/4.66  clause( 241, [ 'c_lessequals'( 'c_Message_Osynth'( X ), 'c_Message_Osynth'( 
% 4.28/4.66    'c_insert'( Y, X, 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) )
% 4.28/4.66     ] )
% 4.28/4.66  , clause( 1750, [ 'c_lessequals'( 'c_Message_Osynth'( X ), 
% 4.28/4.66    'c_Message_Osynth'( 'c_insert'( Y, X, 'tc_Message_Omsg' ) ), 'tc_set'( 
% 4.28/4.66    'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.28/4.66     )] ) ).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  resolution(
% 4.28/4.66  clause( 1751, [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' )
% 4.28/4.66     ), 'c_in'( X, 'c_Message_Osynth'( 'c_insert'( Z, Y, 'tc_Message_Omsg' )
% 4.28/4.66     ), 'tc_Message_Omsg' ) ] )
% 4.28/4.66  , clause( 5, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( Z
% 4.28/4.66     ) ) ), 'c_in'( X, T, Z ) ] )
% 4.28/4.66  , 1, clause( 241, [ 'c_lessequals'( 'c_Message_Osynth'( X ), 
% 4.28/4.66    'c_Message_Osynth'( 'c_insert'( Y, X, 'tc_Message_Omsg' ) ), 'tc_set'( 
% 4.28/4.66    'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_Message_Osynth'( Y ) ), :=( Z
% 4.28/4.66    , 'tc_Message_Omsg' ), :=( T, 'c_Message_Osynth'( 'c_insert'( Z, Y, 
% 4.28/4.66    'tc_Message_Omsg' ) ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, Z )] )
% 4.28/4.66    ).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  subsumption(
% 4.28/4.66  clause( 248, [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg' ) )
% 4.28/4.66    , 'c_in'( X, 'c_Message_Osynth'( 'c_insert'( Z, Y, 'tc_Message_Omsg' ) )
% 4.28/4.66    , 'tc_Message_Omsg' ) ] )
% 4.28/4.66  , clause( 1751, [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 'tc_Message_Omsg'
% 4.28/4.66     ) ), 'c_in'( X, 'c_Message_Osynth'( 'c_insert'( Z, Y, 'tc_Message_Omsg'
% 4.28/4.66     ) ), 'tc_Message_Omsg' ) ] )
% 4.28/4.66  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 4.28/4.66    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  resolution(
% 4.28/4.66  clause( 1752, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 
% 4.28/4.66    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Osynth'( 
% 4.28/4.66    'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 
% 4.28/4.66    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  , clause( 134, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 
% 4.28/4.66    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Osynth'( 
% 4.28/4.66    'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 
% 4.28/4.66    'c_Message_Osynth'( 'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 
% 4.28/4.66    'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  , 0, clause( 248, [ ~( 'c_in'( X, 'c_Message_Osynth'( Y ), 
% 4.28/4.66    'tc_Message_Omsg' ) ), 'c_in'( X, 'c_Message_Osynth'( 'c_insert'( Z, Y, 
% 4.28/4.66    'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 4.28/4.66  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Main_OsubsetI__1'( 
% 4.28/4.66    'c_insert'( 'v_X', 'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 
% 4.28/4.66    'c_Message_Osynth'( 'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 
% 4.28/4.66    'tc_Message_Omsg' ) ), :=( Y, 'v_H' ), :=( Z, 'v_X' )] )).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  subsumption(
% 4.28/4.66  clause( 630, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 
% 4.28/4.66    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Osynth'( 
% 4.28/4.66    'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 
% 4.28/4.66    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  , clause( 1752, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 
% 4.28/4.66    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Osynth'( 
% 4.28/4.66    'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 
% 4.28/4.66    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  eqswap(
% 4.28/4.66  clause( 1753, [ =( X, 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ) )
% 4.28/4.66    , 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ), 'c_in'( 
% 4.28/4.66    'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ), Y, Z ) ] )
% 4.28/4.66  , clause( 111, [ 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) )
% 4.28/4.66    , 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ), Y, Z ), 
% 4.28/4.66    =( 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ), X ) ] )
% 4.28/4.66  , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 4.28/4.66    ).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  resolution(
% 4.28/4.66  clause( 1754, [ =( 'v_X', 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 
% 4.28/4.66    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Osynth'( 
% 4.28/4.66    'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ), 
% 4.28/4.66    'c_lessequals'( 'c_insert'( 'v_X', 'c_Message_Osynth'( 'v_H' ), 
% 4.28/4.66    'tc_Message_Omsg' ), 'c_Message_Osynth'( 'c_insert'( 'v_X', 'v_H', 
% 4.28/4.66    'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  , clause( 630, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 
% 4.28/4.66    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Osynth'( 
% 4.28/4.66    'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 
% 4.28/4.66    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ) ) ] )
% 4.28/4.66  , 0, clause( 1753, [ =( X, 'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, 
% 4.28/4.66    Z ) ), 'c_lessequals'( 'c_insert'( X, Y, Z ), T, 'tc_set'( Z ) ), 'c_in'( 
% 4.28/4.66    'c_Main_OsubsetI__1'( 'c_insert'( X, Y, Z ), T, Z ), Y, Z ) ] )
% 4.28/4.66  , 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_X' ), :=( Y, 
% 4.28/4.66    'c_Message_Osynth'( 'v_H' ) ), :=( Z, 'tc_Message_Omsg' ), :=( T, 
% 4.28/4.66    'c_Message_Osynth'( 'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ) )] )
% 4.28/4.66    ).
% 4.28/4.66  
% 4.28/4.66  
% 4.28/4.66  resolution(
% 4.28/4.67  clause( 1755, [ =( 'v_X', 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 
% 4.28/4.67    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Osynth'( 
% 4.28/4.67    'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ]
% 4.28/4.67     )
% 4.28/4.67  , clause( 8, [ ~( 'c_lessequals'( 'c_insert'( 'v_X', 'c_Message_Osynth'( 
% 4.28/4.67    'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Osynth'( 'c_insert'( 'v_X', 
% 4.28/4.67    'v_H', 'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ) ] )
% 4.28/4.67  , 0, clause( 1754, [ =( 'v_X', 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 
% 4.28/4.67    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Osynth'( 
% 4.28/4.67    'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ), 
% 4.28/4.67    'c_lessequals'( 'c_insert'( 'v_X', 'c_Message_Osynth'( 'v_H' ), 
% 4.28/4.67    'tc_Message_Omsg' ), 'c_Message_Osynth'( 'c_insert'( 'v_X', 'v_H', 
% 4.28/4.67    'tc_Message_Omsg' ) ), 'tc_set'( 'tc_Message_Omsg' ) ) ] )
% 4.28/4.67  , 1, substitution( 0, [] ), substitution( 1, [] )).
% 4.28/4.67  
% 4.28/4.67  
% 4.28/4.67  eqswap(
% 4.28/4.67  clause( 1756, [ =( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 
% 4.28/4.67    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Osynth'( 
% 4.28/4.67    'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 
% 4.28/4.67    'v_X' ) ] )
% 4.28/4.67  , clause( 1755, [ =( 'v_X', 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 
% 4.28/4.67    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Osynth'( 
% 4.28/4.67    'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ]
% 4.28/4.67     )
% 4.28/4.67  , 0, substitution( 0, [] )).
% 4.28/4.67  
% 4.28/4.67  
% 4.28/4.67  subsumption(
% 4.28/4.67  clause( 1716, [ =( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 
% 4.28/4.67    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Osynth'( 
% 4.28/4.67    'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 
% 4.28/4.67    'v_X' ) ] )
% 4.28/4.67  , clause( 1756, [ =( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 
% 4.28/4.67    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Osynth'( 
% 4.28/4.67    'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 
% 4.28/4.67    'v_X' ) ] )
% 4.28/4.67  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.28/4.67  
% 4.28/4.67  
% 4.28/4.67  paramod(
% 4.28/4.67  clause( 1758, [ ~( 'c_in'( 'v_X', 'c_Message_Osynth'( 'c_insert'( 'v_X', 
% 4.28/4.67    'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 4.28/4.67  , clause( 1716, [ =( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 
% 4.28/4.67    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Osynth'( 
% 4.28/4.67    'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 
% 4.28/4.67    'v_X' ) ] )
% 4.28/4.67  , 0, clause( 134, [ ~( 'c_in'( 'c_Main_OsubsetI__1'( 'c_insert'( 'v_X', 
% 4.28/4.67    'c_Message_Osynth'( 'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Osynth'( 
% 4.28/4.67    'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 
% 4.28/4.67    'c_Message_Osynth'( 'c_insert'( 'v_X', 'v_H', 'tc_Message_Omsg' ) ), 
% 4.28/4.67    'tc_Message_Omsg' ) ) ] )
% 4.28/4.67  , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 4.28/4.67  
% 4.28/4.67  
% 4.28/4.67  resolution(
% 4.28/4.67  clause( 1759, [] )
% 4.28/4.67  , clause( 1758, [ ~( 'c_in'( 'v_X', 'c_Message_Osynth'( 'c_insert'( 'v_X', 
% 4.28/4.67    'v_H', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ) ] )
% 4.28/4.67  , 0, clause( 10, [ 'c_in'( X, 'c_Message_Osynth'( 'c_insert'( X, Y, 
% 4.28/4.67    'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ) ] )
% 4.28/4.67  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_X' ), :=( Y, 'v_H'
% 4.28/4.67     )] )).
% 4.28/4.67  
% 4.28/4.67  
% 4.28/4.67  subsumption(
% 4.28/4.67  clause( 1724, [] )
% 4.28/4.67  , clause( 1759, [] )
% 4.28/4.67  , substitution( 0, [] ), permutation( 0, [] ) ).
% 4.28/4.67  
% 4.28/4.67  
% 4.28/4.67  end.
% 4.28/4.67  
% 4.28/4.67  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.28/4.67  
% 4.28/4.67  Memory use:
% 4.28/4.67  
% 4.28/4.67  space for terms:        28536
% 4.28/4.67  space for clauses:      116043
% 4.28/4.67  
% 4.28/4.67  
% 4.28/4.67  clauses generated:      824578
% 4.28/4.67  clauses kept:           1725
% 4.28/4.67  clauses selected:       1309
% 4.28/4.67  clauses deleted:        89
% 4.28/4.67  clauses inuse deleted:  26
% 4.28/4.67  
% 4.28/4.67  subsentry:          56474
% 4.28/4.67  literals s-matched: 47062
% 4.28/4.67  literals matched:   46551
% 4.28/4.67  full subsumption:   1438
% 4.28/4.67  
% 4.28/4.67  checksum:           981958844
% 4.28/4.67  
% 4.28/4.67  
% 4.28/4.67  Bliksem ended
%------------------------------------------------------------------------------