TSTP Solution File: SWV262-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV262-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n007.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 16:23:21 EDT 2022

% Result   : Unsatisfiable 0.70s 1.09s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV262-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.14/0.34  % Computer : n007.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % DateTime : Thu Jun 16 01:24:11 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.70/1.09  *** allocated 10000 integers for termspace/termends
% 0.70/1.09  *** allocated 10000 integers for clauses
% 0.70/1.09  *** allocated 10000 integers for justifications
% 0.70/1.09  Bliksem 1.12
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  Automatic Strategy Selection
% 0.70/1.09  
% 0.70/1.09  Clauses:
% 0.70/1.09  [
% 0.70/1.09     [ ~( =( 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_insert'( 'v_Y', 'v_H'
% 0.70/1.09    , 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ), 'c_union'( 'c_union'( 
% 0.70/1.09    'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_emptyset', 'tc_Message_Omsg' )
% 0.70/1.09     ), 'c_Message_Oparts'( 'c_insert'( 'v_Y', 'c_emptyset', 
% 0.70/1.09    'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 'c_Message_Oparts'( 'v_H' ), 
% 0.70/1.09    'tc_Message_Omsg' ) ) ) ],
% 0.70/1.09     [ =( 'c_Message_Oparts'( 'c_union'( X, Y, 'tc_Message_Omsg' ) ), 
% 0.70/1.09    'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y ), 
% 0.70/1.09    'tc_Message_Omsg' ) ) ],
% 0.70/1.09     [ =( 'c_union'( 'c_emptyset', X, Y ), X ) ],
% 0.70/1.09     [ =( 'c_union'( 'c_insert'( X, Y, Z ), T, Z ), 'c_insert'( X, 'c_union'( 
% 0.70/1.09    Y, T, Z ), Z ) ) ]
% 0.70/1.09  ] .
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  percentage equality = 1.000000, percentage horn = 1.000000
% 0.70/1.09  This is a pure equality problem
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  Options Used:
% 0.70/1.09  
% 0.70/1.09  useres =            1
% 0.70/1.09  useparamod =        1
% 0.70/1.09  useeqrefl =         1
% 0.70/1.09  useeqfact =         1
% 0.70/1.09  usefactor =         1
% 0.70/1.09  usesimpsplitting =  0
% 0.70/1.09  usesimpdemod =      5
% 0.70/1.09  usesimpres =        3
% 0.70/1.09  
% 0.70/1.09  resimpinuse      =  1000
% 0.70/1.09  resimpclauses =     20000
% 0.70/1.09  substype =          eqrewr
% 0.70/1.09  backwardsubs =      1
% 0.70/1.09  selectoldest =      5
% 0.70/1.09  
% 0.70/1.09  litorderings [0] =  split
% 0.70/1.09  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.70/1.09  
% 0.70/1.09  termordering =      kbo
% 0.70/1.09  
% 0.70/1.09  litapriori =        0
% 0.70/1.09  termapriori =       1
% 0.70/1.09  litaposteriori =    0
% 0.70/1.09  termaposteriori =   0
% 0.70/1.09  demodaposteriori =  0
% 0.70/1.09  ordereqreflfact =   0
% 0.70/1.09  
% 0.70/1.09  litselect =         negord
% 0.70/1.09  
% 0.70/1.09  maxweight =         15
% 0.70/1.09  maxdepth =          30000
% 0.70/1.09  maxlength =         115
% 0.70/1.09  maxnrvars =         195
% 0.70/1.09  excuselevel =       1
% 0.70/1.09  increasemaxweight = 1
% 0.70/1.09  
% 0.70/1.09  maxselected =       10000000
% 0.70/1.09  maxnrclauses =      10000000
% 0.70/1.09  
% 0.70/1.09  showgenerated =    0
% 0.70/1.09  showkept =         0
% 0.70/1.09  showselected =     0
% 0.70/1.09  showdeleted =      0
% 0.70/1.09  showresimp =       1
% 0.70/1.09  showstatus =       2000
% 0.70/1.09  
% 0.70/1.09  prologoutput =     1
% 0.70/1.09  nrgoals =          5000000
% 0.70/1.09  totalproof =       1
% 0.70/1.09  
% 0.70/1.09  Symbols occurring in the translation:
% 0.70/1.09  
% 0.70/1.09  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.70/1.09  .  [1, 2]      (w:1, o:27, a:1, s:1, b:0), 
% 0.70/1.09  !  [4, 1]      (w:0, o:21, a:1, s:1, b:0), 
% 0.70/1.09  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.70/1.09  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.70/1.09  'v_X'  [39, 0]      (w:1, o:9, a:1, s:1, b:0), 
% 0.70/1.09  'v_Y'  [40, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.70/1.09  'v_H'  [41, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 0.70/1.09  'tc_Message_Omsg'  [42, 0]      (w:1, o:12, a:1, s:1, b:0), 
% 0.70/1.09  'c_insert'  [43, 3]      (w:1, o:52, a:1, s:1, b:0), 
% 0.70/1.09  'c_Message_Oparts'  [44, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 0.70/1.09  'c_emptyset'  [45, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.70/1.09  'c_union'  [46, 3]      (w:1, o:53, a:1, s:1, b:0).
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  Starting Search:
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  Bliksems!, er is een bewijs:
% 0.70/1.09  % SZS status Unsatisfiable
% 0.70/1.09  % SZS output start Refutation
% 0.70/1.09  
% 0.70/1.09  clause( 0, [ ~( =( 'c_union'( 'c_union'( 'c_Message_Oparts'( 'c_insert'( 
% 0.70/1.09    'v_X', 'c_emptyset', 'tc_Message_Omsg' ) ), 'c_Message_Oparts'( 
% 0.70/1.09    'c_insert'( 'v_Y', 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg'
% 0.70/1.09     ), 'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Oparts'( 
% 0.70/1.09    'c_insert'( 'v_X', 'c_insert'( 'v_Y', 'v_H', 'tc_Message_Omsg' ), 
% 0.70/1.09    'tc_Message_Omsg' ) ) ) ) ] )
% 0.70/1.09  .
% 0.70/1.09  clause( 1, [ =( 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y )
% 0.70/1.09    , 'tc_Message_Omsg' ), 'c_Message_Oparts'( 'c_union'( X, Y, 
% 0.70/1.09    'tc_Message_Omsg' ) ) ) ] )
% 0.70/1.09  .
% 0.70/1.09  clause( 2, [ =( 'c_union'( 'c_emptyset', X, Y ), X ) ] )
% 0.70/1.09  .
% 0.70/1.09  clause( 3, [ =( 'c_union'( 'c_insert'( X, Y, Z ), T, Z ), 'c_insert'( X, 
% 0.70/1.09    'c_union'( Y, T, Z ), Z ) ) ] )
% 0.70/1.09  .
% 0.70/1.09  clause( 4, [] )
% 0.70/1.09  .
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  % SZS output end Refutation
% 0.70/1.09  found a proof!
% 0.70/1.09  
% 0.70/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.09  
% 0.70/1.09  initialclauses(
% 0.70/1.09  [ clause( 6, [ ~( =( 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_insert'( 
% 0.70/1.09    'v_Y', 'v_H', 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ), 'c_union'( 
% 0.70/1.09    'c_union'( 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_emptyset', 
% 0.70/1.09    'tc_Message_Omsg' ) ), 'c_Message_Oparts'( 'c_insert'( 'v_Y', 
% 0.70/1.09    'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 
% 0.70/1.09    'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ) ) ] )
% 0.70/1.09  , clause( 7, [ =( 'c_Message_Oparts'( 'c_union'( X, Y, 'tc_Message_Omsg' )
% 0.70/1.09     ), 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y ), 
% 0.70/1.09    'tc_Message_Omsg' ) ) ] )
% 0.70/1.09  , clause( 8, [ =( 'c_union'( 'c_emptyset', X, Y ), X ) ] )
% 0.70/1.09  , clause( 9, [ =( 'c_union'( 'c_insert'( X, Y, Z ), T, Z ), 'c_insert'( X, 
% 0.70/1.09    'c_union'( Y, T, Z ), Z ) ) ] )
% 0.70/1.09  ] ).
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  eqswap(
% 0.70/1.09  clause( 10, [ ~( =( 'c_union'( 'c_union'( 'c_Message_Oparts'( 'c_insert'( 
% 0.70/1.09    'v_X', 'c_emptyset', 'tc_Message_Omsg' ) ), 'c_Message_Oparts'( 
% 0.70/1.09    'c_insert'( 'v_Y', 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg'
% 0.70/1.09     ), 'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Oparts'( 
% 0.70/1.09    'c_insert'( 'v_X', 'c_insert'( 'v_Y', 'v_H', 'tc_Message_Omsg' ), 
% 0.70/1.09    'tc_Message_Omsg' ) ) ) ) ] )
% 0.70/1.09  , clause( 6, [ ~( =( 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_insert'( 
% 0.70/1.09    'v_Y', 'v_H', 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ), 'c_union'( 
% 0.70/1.09    'c_union'( 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_emptyset', 
% 0.70/1.09    'tc_Message_Omsg' ) ), 'c_Message_Oparts'( 'c_insert'( 'v_Y', 
% 0.70/1.09    'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg' ), 
% 0.70/1.09    'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ) ) ) ] )
% 0.70/1.09  , 0, substitution( 0, [] )).
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  subsumption(
% 0.70/1.09  clause( 0, [ ~( =( 'c_union'( 'c_union'( 'c_Message_Oparts'( 'c_insert'( 
% 0.70/1.09    'v_X', 'c_emptyset', 'tc_Message_Omsg' ) ), 'c_Message_Oparts'( 
% 0.70/1.09    'c_insert'( 'v_Y', 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg'
% 0.70/1.09     ), 'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Oparts'( 
% 0.70/1.09    'c_insert'( 'v_X', 'c_insert'( 'v_Y', 'v_H', 'tc_Message_Omsg' ), 
% 0.70/1.09    'tc_Message_Omsg' ) ) ) ) ] )
% 0.70/1.09  , clause( 10, [ ~( =( 'c_union'( 'c_union'( 'c_Message_Oparts'( 'c_insert'( 
% 0.70/1.09    'v_X', 'c_emptyset', 'tc_Message_Omsg' ) ), 'c_Message_Oparts'( 
% 0.70/1.09    'c_insert'( 'v_Y', 'c_emptyset', 'tc_Message_Omsg' ) ), 'tc_Message_Omsg'
% 0.70/1.09     ), 'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Oparts'( 
% 0.70/1.09    'c_insert'( 'v_X', 'c_insert'( 'v_Y', 'v_H', 'tc_Message_Omsg' ), 
% 0.70/1.09    'tc_Message_Omsg' ) ) ) ) ] )
% 0.70/1.09  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  eqswap(
% 0.70/1.09  clause( 12, [ =( 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y
% 0.70/1.09     ), 'tc_Message_Omsg' ), 'c_Message_Oparts'( 'c_union'( X, Y, 
% 0.70/1.09    'tc_Message_Omsg' ) ) ) ] )
% 0.70/1.09  , clause( 7, [ =( 'c_Message_Oparts'( 'c_union'( X, Y, 'tc_Message_Omsg' )
% 0.70/1.09     ), 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y ), 
% 0.70/1.09    'tc_Message_Omsg' ) ) ] )
% 0.70/1.09  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  subsumption(
% 0.70/1.09  clause( 1, [ =( 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y )
% 0.70/1.09    , 'tc_Message_Omsg' ), 'c_Message_Oparts'( 'c_union'( X, Y, 
% 0.70/1.09    'tc_Message_Omsg' ) ) ) ] )
% 0.70/1.09  , clause( 12, [ =( 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( 
% 0.70/1.09    Y ), 'tc_Message_Omsg' ), 'c_Message_Oparts'( 'c_union'( X, Y, 
% 0.70/1.09    'tc_Message_Omsg' ) ) ) ] )
% 0.70/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09     )] ) ).
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  subsumption(
% 0.70/1.09  clause( 2, [ =( 'c_union'( 'c_emptyset', X, Y ), X ) ] )
% 0.70/1.09  , clause( 8, [ =( 'c_union'( 'c_emptyset', X, Y ), X ) ] )
% 0.70/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.70/1.09     )] ) ).
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  subsumption(
% 0.70/1.09  clause( 3, [ =( 'c_union'( 'c_insert'( X, Y, Z ), T, Z ), 'c_insert'( X, 
% 0.70/1.09    'c_union'( Y, T, Z ), Z ) ) ] )
% 0.70/1.09  , clause( 9, [ =( 'c_union'( 'c_insert'( X, Y, Z ), T, Z ), 'c_insert'( X, 
% 0.70/1.09    'c_union'( Y, T, Z ), Z ) ) ] )
% 0.70/1.09  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.70/1.09    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  paramod(
% 0.70/1.09  clause( 28, [ ~( =( 'c_union'( 'c_Message_Oparts'( 'c_union'( 'c_insert'( 
% 0.70/1.09    'v_X', 'c_emptyset', 'tc_Message_Omsg' ), 'c_insert'( 'v_Y', 'c_emptyset'
% 0.70/1.09    , 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ), 'c_Message_Oparts'( 'v_H' )
% 0.70/1.09    , 'tc_Message_Omsg' ), 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_insert'( 
% 0.70/1.09    'v_Y', 'v_H', 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ) ) ] )
% 0.70/1.09  , clause( 1, [ =( 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y
% 0.70/1.09     ), 'tc_Message_Omsg' ), 'c_Message_Oparts'( 'c_union'( X, Y, 
% 0.70/1.09    'tc_Message_Omsg' ) ) ) ] )
% 0.70/1.09  , 0, clause( 0, [ ~( =( 'c_union'( 'c_union'( 'c_Message_Oparts'( 
% 0.70/1.09    'c_insert'( 'v_X', 'c_emptyset', 'tc_Message_Omsg' ) ), 
% 0.70/1.09    'c_Message_Oparts'( 'c_insert'( 'v_Y', 'c_emptyset', 'tc_Message_Omsg' )
% 0.70/1.09     ), 'tc_Message_Omsg' ), 'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' )
% 0.70/1.09    , 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_insert'( 'v_Y', 'v_H', 
% 0.70/1.09    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ) ) ] )
% 0.70/1.09  , 0, 3, substitution( 0, [ :=( X, 'c_insert'( 'v_X', 'c_emptyset', 
% 0.70/1.09    'tc_Message_Omsg' ) ), :=( Y, 'c_insert'( 'v_Y', 'c_emptyset', 
% 0.70/1.09    'tc_Message_Omsg' ) )] ), substitution( 1, [] )).
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  paramod(
% 0.70/1.09  clause( 30, [ ~( =( 'c_Message_Oparts'( 'c_union'( 'c_union'( 'c_insert'( 
% 0.70/1.09    'v_X', 'c_emptyset', 'tc_Message_Omsg' ), 'c_insert'( 'v_Y', 'c_emptyset'
% 0.70/1.09    , 'tc_Message_Omsg' ), 'tc_Message_Omsg' ), 'v_H', 'tc_Message_Omsg' ) )
% 0.70/1.09    , 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_insert'( 'v_Y', 'v_H', 
% 0.70/1.09    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ) ) ] )
% 0.70/1.09  , clause( 1, [ =( 'c_union'( 'c_Message_Oparts'( X ), 'c_Message_Oparts'( Y
% 0.70/1.09     ), 'tc_Message_Omsg' ), 'c_Message_Oparts'( 'c_union'( X, Y, 
% 0.70/1.09    'tc_Message_Omsg' ) ) ) ] )
% 0.70/1.09  , 0, clause( 28, [ ~( =( 'c_union'( 'c_Message_Oparts'( 'c_union'( 
% 0.70/1.09    'c_insert'( 'v_X', 'c_emptyset', 'tc_Message_Omsg' ), 'c_insert'( 'v_Y', 
% 0.70/1.09    'c_emptyset', 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ), 
% 0.70/1.09    'c_Message_Oparts'( 'v_H' ), 'tc_Message_Omsg' ), 'c_Message_Oparts'( 
% 0.70/1.09    'c_insert'( 'v_X', 'c_insert'( 'v_Y', 'v_H', 'tc_Message_Omsg' ), 
% 0.70/1.09    'tc_Message_Omsg' ) ) ) ) ] )
% 0.70/1.09  , 0, 2, substitution( 0, [ :=( X, 'c_union'( 'c_insert'( 'v_X', 
% 0.70/1.09    'c_emptyset', 'tc_Message_Omsg' ), 'c_insert'( 'v_Y', 'c_emptyset', 
% 0.70/1.09    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ), :=( Y, 'v_H' )] ), 
% 0.70/1.09    substitution( 1, [] )).
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  paramod(
% 0.70/1.09  clause( 31, [ ~( =( 'c_Message_Oparts'( 'c_union'( 'c_insert'( 'v_X', 
% 0.70/1.09    'c_union'( 'c_emptyset', 'c_insert'( 'v_Y', 'c_emptyset', 
% 0.70/1.09    'tc_Message_Omsg' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ), 'v_H', 
% 0.70/1.09    'tc_Message_Omsg' ) ), 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_insert'( 
% 0.70/1.09    'v_Y', 'v_H', 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ) ) ] )
% 0.70/1.09  , clause( 3, [ =( 'c_union'( 'c_insert'( X, Y, Z ), T, Z ), 'c_insert'( X, 
% 0.70/1.09    'c_union'( Y, T, Z ), Z ) ) ] )
% 0.70/1.09  , 0, clause( 30, [ ~( =( 'c_Message_Oparts'( 'c_union'( 'c_union'( 
% 0.70/1.09    'c_insert'( 'v_X', 'c_emptyset', 'tc_Message_Omsg' ), 'c_insert'( 'v_Y', 
% 0.70/1.09    'c_emptyset', 'tc_Message_Omsg' ), 'tc_Message_Omsg' ), 'v_H', 
% 0.70/1.09    'tc_Message_Omsg' ) ), 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_insert'( 
% 0.70/1.09    'v_Y', 'v_H', 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ) ) ] )
% 0.70/1.09  , 0, 4, substitution( 0, [ :=( X, 'v_X' ), :=( Y, 'c_emptyset' ), :=( Z, 
% 0.70/1.09    'tc_Message_Omsg' ), :=( T, 'c_insert'( 'v_Y', 'c_emptyset', 
% 0.70/1.09    'tc_Message_Omsg' ) )] ), substitution( 1, [] )).
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  paramod(
% 0.70/1.09  clause( 33, [ ~( =( 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_union'( 
% 0.70/1.09    'c_union'( 'c_emptyset', 'c_insert'( 'v_Y', 'c_emptyset', 
% 0.70/1.09    'tc_Message_Omsg' ), 'tc_Message_Omsg' ), 'v_H', 'tc_Message_Omsg' ), 
% 0.70/1.09    'tc_Message_Omsg' ) ), 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_insert'( 
% 0.70/1.09    'v_Y', 'v_H', 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ) ) ] )
% 0.70/1.09  , clause( 3, [ =( 'c_union'( 'c_insert'( X, Y, Z ), T, Z ), 'c_insert'( X, 
% 0.70/1.09    'c_union'( Y, T, Z ), Z ) ) ] )
% 0.70/1.09  , 0, clause( 31, [ ~( =( 'c_Message_Oparts'( 'c_union'( 'c_insert'( 'v_X', 
% 0.70/1.09    'c_union'( 'c_emptyset', 'c_insert'( 'v_Y', 'c_emptyset', 
% 0.70/1.09    'tc_Message_Omsg' ), 'tc_Message_Omsg' ), 'tc_Message_Omsg' ), 'v_H', 
% 0.70/1.09    'tc_Message_Omsg' ) ), 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_insert'( 
% 0.70/1.09    'v_Y', 'v_H', 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ) ) ] )
% 0.70/1.09  , 0, 3, substitution( 0, [ :=( X, 'v_X' ), :=( Y, 'c_union'( 'c_emptyset', 
% 0.70/1.09    'c_insert'( 'v_Y', 'c_emptyset', 'tc_Message_Omsg' ), 'tc_Message_Omsg' )
% 0.70/1.09     ), :=( Z, 'tc_Message_Omsg' ), :=( T, 'v_H' )] ), substitution( 1, [] )
% 0.70/1.09    ).
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  paramod(
% 0.70/1.09  clause( 34, [ ~( =( 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_union'( 
% 0.70/1.09    'c_insert'( 'v_Y', 'c_emptyset', 'tc_Message_Omsg' ), 'v_H', 
% 0.70/1.09    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ), 'c_Message_Oparts'( 
% 0.70/1.09    'c_insert'( 'v_X', 'c_insert'( 'v_Y', 'v_H', 'tc_Message_Omsg' ), 
% 0.70/1.09    'tc_Message_Omsg' ) ) ) ) ] )
% 0.70/1.09  , clause( 2, [ =( 'c_union'( 'c_emptyset', X, Y ), X ) ] )
% 0.70/1.09  , 0, clause( 33, [ ~( =( 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_union'( 
% 0.70/1.09    'c_union'( 'c_emptyset', 'c_insert'( 'v_Y', 'c_emptyset', 
% 0.70/1.09    'tc_Message_Omsg' ), 'tc_Message_Omsg' ), 'v_H', 'tc_Message_Omsg' ), 
% 0.70/1.09    'tc_Message_Omsg' ) ), 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_insert'( 
% 0.70/1.09    'v_Y', 'v_H', 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ) ) ] )
% 0.70/1.09  , 0, 6, substitution( 0, [ :=( X, 'c_insert'( 'v_Y', 'c_emptyset', 
% 0.70/1.09    'tc_Message_Omsg' ) ), :=( Y, 'tc_Message_Omsg' )] ), substitution( 1, [] )
% 0.70/1.09    ).
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  paramod(
% 0.70/1.09  clause( 35, [ ~( =( 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_insert'( 
% 0.70/1.09    'v_Y', 'c_union'( 'c_emptyset', 'v_H', 'tc_Message_Omsg' ), 
% 0.70/1.09    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ), 'c_Message_Oparts'( 
% 0.70/1.09    'c_insert'( 'v_X', 'c_insert'( 'v_Y', 'v_H', 'tc_Message_Omsg' ), 
% 0.70/1.09    'tc_Message_Omsg' ) ) ) ) ] )
% 0.70/1.09  , clause( 3, [ =( 'c_union'( 'c_insert'( X, Y, Z ), T, Z ), 'c_insert'( X, 
% 0.70/1.09    'c_union'( Y, T, Z ), Z ) ) ] )
% 0.70/1.09  , 0, clause( 34, [ ~( =( 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_union'( 
% 0.70/1.09    'c_insert'( 'v_Y', 'c_emptyset', 'tc_Message_Omsg' ), 'v_H', 
% 0.70/1.09    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ), 'c_Message_Oparts'( 
% 0.70/1.09    'c_insert'( 'v_X', 'c_insert'( 'v_Y', 'v_H', 'tc_Message_Omsg' ), 
% 0.70/1.09    'tc_Message_Omsg' ) ) ) ) ] )
% 0.70/1.09  , 0, 5, substitution( 0, [ :=( X, 'v_Y' ), :=( Y, 'c_emptyset' ), :=( Z, 
% 0.70/1.09    'tc_Message_Omsg' ), :=( T, 'v_H' )] ), substitution( 1, [] )).
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  paramod(
% 0.70/1.09  clause( 36, [ ~( =( 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_insert'( 
% 0.70/1.09    'v_Y', 'v_H', 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ), 
% 0.70/1.09    'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_insert'( 'v_Y', 'v_H', 
% 0.70/1.09    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ) ) ] )
% 0.70/1.09  , clause( 2, [ =( 'c_union'( 'c_emptyset', X, Y ), X ) ] )
% 0.70/1.09  , 0, clause( 35, [ ~( =( 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_insert'( 
% 0.70/1.09    'v_Y', 'c_union'( 'c_emptyset', 'v_H', 'tc_Message_Omsg' ), 
% 0.70/1.09    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ), 'c_Message_Oparts'( 
% 0.70/1.09    'c_insert'( 'v_X', 'c_insert'( 'v_Y', 'v_H', 'tc_Message_Omsg' ), 
% 0.70/1.09    'tc_Message_Omsg' ) ) ) ) ] )
% 0.70/1.09  , 0, 7, substitution( 0, [ :=( X, 'v_H' ), :=( Y, 'tc_Message_Omsg' )] ), 
% 0.70/1.09    substitution( 1, [] )).
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  eqrefl(
% 0.70/1.09  clause( 37, [] )
% 0.70/1.09  , clause( 36, [ ~( =( 'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_insert'( 
% 0.70/1.09    'v_Y', 'v_H', 'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ), 
% 0.70/1.09    'c_Message_Oparts'( 'c_insert'( 'v_X', 'c_insert'( 'v_Y', 'v_H', 
% 0.70/1.09    'tc_Message_Omsg' ), 'tc_Message_Omsg' ) ) ) ) ] )
% 0.70/1.09  , 0, substitution( 0, [] )).
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  subsumption(
% 0.70/1.09  clause( 4, [] )
% 0.70/1.09  , clause( 37, [] )
% 0.70/1.09  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  end.
% 0.70/1.09  
% 0.70/1.09  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.70/1.09  
% 0.70/1.09  Memory use:
% 0.70/1.09  
% 0.70/1.09  space for terms:        200
% 0.70/1.09  space for clauses:      695
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  clauses generated:      11
% 0.70/1.09  clauses kept:           5
% 0.70/1.09  clauses selected:       3
% 0.70/1.09  clauses deleted:        1
% 0.70/1.09  clauses inuse deleted:  0
% 0.70/1.09  
% 0.70/1.09  subsentry:          86
% 0.70/1.09  literals s-matched: 38
% 0.70/1.09  literals matched:   38
% 0.70/1.09  full subsumption:   0
% 0.70/1.09  
% 0.70/1.09  checksum:           -1254447682
% 0.70/1.09  
% 0.70/1.09  
% 0.70/1.09  Bliksem ended
%------------------------------------------------------------------------------