TSTP Solution File: SET822-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET822-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n025.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 : Mon Jul 18 22:52:18 EDT 2022

% Result   : Unsatisfiable 0.71s 1.13s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET822-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Mon Jul 11 10:49:47 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.71/1.13  *** allocated 10000 integers for termspace/termends
% 0.71/1.13  *** allocated 10000 integers for clauses
% 0.71/1.13  *** allocated 10000 integers for justifications
% 0.71/1.13  Bliksem 1.12
% 0.71/1.13  
% 0.71/1.13  
% 0.71/1.13  Automatic Strategy Selection
% 0.71/1.13  
% 0.71/1.13  Clauses:
% 0.71/1.13  [
% 0.71/1.13     [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ],
% 0.71/1.13     [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ],
% 0.71/1.13     [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T ), =( X, Y
% 0.71/1.13     ) ],
% 0.71/1.13     [ 'v_P'( 'v_f'( 'v_b' ) ) ],
% 0.71/1.13     [ ~( 'c_in'( 'v_f'( X ), Y, 'tc_IntDef_Oint' ) ), 'c_in'( 'v_x'( X, Y )
% 0.71/1.13    , Y, 'tc_IntDef_Oint' ) ],
% 0.71/1.13     [ ~( 'c_in'( 'v_f'( X ), Y, 'tc_IntDef_Oint' ) ), ~( 'v_P'( 'v_x'( X, Y
% 0.71/1.13     ) ) ) ]
% 0.71/1.13  ] .
% 0.71/1.13  
% 0.71/1.13  
% 0.71/1.13  percentage equality = 0.100000, percentage horn = 0.833333
% 0.71/1.13  This is a problem with some equality
% 0.71/1.13  
% 0.71/1.13  
% 0.71/1.13  
% 0.71/1.13  Options Used:
% 0.71/1.13  
% 0.71/1.13  useres =            1
% 0.71/1.13  useparamod =        1
% 0.71/1.13  useeqrefl =         1
% 0.71/1.13  useeqfact =         1
% 0.71/1.13  usefactor =         1
% 0.71/1.13  usesimpsplitting =  0
% 0.71/1.13  usesimpdemod =      5
% 0.71/1.13  usesimpres =        3
% 0.71/1.13  
% 0.71/1.13  resimpinuse      =  1000
% 0.71/1.13  resimpclauses =     20000
% 0.71/1.13  substype =          eqrewr
% 0.71/1.13  backwardsubs =      1
% 0.71/1.13  selectoldest =      5
% 0.71/1.13  
% 0.71/1.13  litorderings [0] =  split
% 0.71/1.13  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.71/1.13  
% 0.71/1.13  termordering =      kbo
% 0.71/1.13  
% 0.71/1.13  litapriori =        0
% 0.71/1.13  termapriori =       1
% 0.71/1.13  litaposteriori =    0
% 0.71/1.13  termaposteriori =   0
% 0.71/1.13  demodaposteriori =  0
% 0.71/1.13  ordereqreflfact =   0
% 0.71/1.13  
% 0.71/1.13  litselect =         negord
% 0.71/1.13  
% 0.71/1.13  maxweight =         15
% 0.71/1.13  maxdepth =          30000
% 0.71/1.13  maxlength =         115
% 0.71/1.13  maxnrvars =         195
% 0.71/1.13  excuselevel =       1
% 0.71/1.13  increasemaxweight = 1
% 0.71/1.13  
% 0.71/1.13  maxselected =       10000000
% 0.71/1.13  maxnrclauses =      10000000
% 0.71/1.13  
% 0.71/1.13  showgenerated =    0
% 0.71/1.13  showkept =         0
% 0.71/1.13  showselected =     0
% 0.71/1.13  showdeleted =      0
% 0.71/1.13  showresimp =       1
% 0.71/1.13  showstatus =       2000
% 0.71/1.13  
% 0.71/1.13  prologoutput =     1
% 0.71/1.13  nrgoals =          5000000
% 0.71/1.13  totalproof =       1
% 0.71/1.13  
% 0.71/1.13  Symbols occurring in the translation:
% 0.71/1.13  
% 0.71/1.13  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.71/1.13  .  [1, 2]      (w:1, o:27, a:1, s:1, b:0), 
% 0.71/1.13  !  [4, 1]      (w:0, o:20, a:1, s:1, b:0), 
% 0.71/1.13  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.13  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.71/1.13  'c_emptyset'  [40, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 0.71/1.13  'c_in'  [42, 3]      (w:1, o:53, a:1, s:1, b:0), 
% 0.71/1.13  'c_insert'  [45, 3]      (w:1, o:54, a:1, s:1, b:0), 
% 0.71/1.13  'v_b'  [48, 0]      (w:1, o:16, a:1, s:1, b:0), 
% 0.71/1.13  'v_f'  [49, 1]      (w:1, o:25, a:1, s:1, b:0), 
% 0.71/1.13  'v_P'  [50, 1]      (w:1, o:26, a:1, s:1, b:0), 
% 0.71/1.13  'tc_IntDef_Oint'  [53, 0]      (w:1, o:19, a:1, s:1, b:0), 
% 0.71/1.13  'v_x'  [54, 2]      (w:1, o:52, a:1, s:1, b:0).
% 0.71/1.13  
% 0.71/1.13  
% 0.71/1.13  Starting Search:
% 0.71/1.13  
% 0.71/1.13  
% 0.71/1.13  Bliksems!, er is een bewijs:
% 0.71/1.13  % SZS status Unsatisfiable
% 0.71/1.13  % SZS output start Refutation
% 0.71/1.13  
% 0.71/1.13  clause( 0, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 0.71/1.13  .
% 0.71/1.13  clause( 1, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.71/1.13  .
% 0.71/1.13  clause( 2, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T )
% 0.71/1.13    , =( X, Y ) ] )
% 0.71/1.13  .
% 0.71/1.13  clause( 3, [ 'v_P'( 'v_f'( 'v_b' ) ) ] )
% 0.71/1.13  .
% 0.71/1.13  clause( 4, [ ~( 'c_in'( 'v_f'( X ), Y, 'tc_IntDef_Oint' ) ), 'c_in'( 'v_x'( 
% 0.71/1.13    X, Y ), Y, 'tc_IntDef_Oint' ) ] )
% 0.71/1.13  .
% 0.71/1.13  clause( 5, [ ~( 'c_in'( 'v_f'( X ), Y, 'tc_IntDef_Oint' ) ), ~( 'v_P'( 
% 0.71/1.13    'v_x'( X, Y ) ) ) ] )
% 0.71/1.13  .
% 0.71/1.13  clause( 9, [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), =( X, Y
% 0.71/1.13     ) ] )
% 0.71/1.13  .
% 0.71/1.13  clause( 40, [ 'v_P'( X ), ~( 'c_in'( X, 'c_insert'( 'v_f'( 'v_b' ), 
% 0.71/1.13    'c_emptyset', Y ), Y ) ) ] )
% 0.71/1.13  .
% 0.71/1.13  clause( 57, [ ~( 'c_in'( 'v_f'( X ), 'c_insert'( 'v_f'( 'v_b' ), 
% 0.71/1.13    'c_emptyset', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ] )
% 0.71/1.13  .
% 0.71/1.13  clause( 60, [] )
% 0.71/1.13  .
% 0.71/1.13  
% 0.71/1.13  
% 0.71/1.13  % SZS output end Refutation
% 0.71/1.13  found a proof!
% 0.71/1.13  
% 0.71/1.13  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.71/1.13  
% 0.71/1.13  initialclauses(
% 0.71/1.13  [ clause( 62, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 0.71/1.13  , clause( 63, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 0.71/1.13  , clause( 64, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T
% 0.71/1.13     ), =( X, Y ) ] )
% 0.71/1.13  , clause( 65, [ 'v_P'( 'v_f'( 'v_b' ) ) ] )
% 0.71/1.13  , clause( 66, [ ~( 'c_in'( 'v_f'( X ), Y, 'tc_IntDef_Oint' ) ), 'c_in'( 
% 0.71/1.13    'v_x'( X, Y ), Y, 'tc_IntDef_Oint' ) ] )
% 0.71/1.13  , clause( 67, [ ~( 'c_in'( 'v_f'( X ), Y, 'tc_IntDef_Oint' ) ), ~( 'v_P'( 
% 0.71/1.13    'v_x'( X, Y ) ) ) ] )
% 0.71/1.13  ] ).
% 0.71/1.13  
% 0.71/1.13  
% 0.71/1.13  
% 0.71/1.13  subsumption(
% 0.71/1.13  clause( 0, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 0.71/1.13  , clause( 62, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 0.71/1.13  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.71/1.13     )] ) ).
% 0.71/1.13  
% 0.71/1.13  
% 0.71/1.13  subsumption(
% 0.71/1.13  clause( 1, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 148.05/148.53  , clause( 63, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 148.05/148.53  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 148.05/148.53    permutation( 0, [ ==>( 0, 0 )] ) ).
% 148.05/148.53  
% 148.05/148.53  
% 148.05/148.53  subsumption(
% 148.05/148.53  clause( 2, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T )
% 148.05/148.53    , =( X, Y ) ] )
% 148.05/148.53  , clause( 64, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T
% 148.05/148.53     ), =( X, Y ) ] )
% 148.05/148.53  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 148.05/148.53    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 148.05/148.53  
% 148.05/148.53  
% 148.05/148.53  subsumption(
% 148.05/148.53  clause( 3, [ 'v_P'( 'v_f'( 'v_b' ) ) ] )
% 148.05/148.53  , clause( 65, [ 'v_P'( 'v_f'( 'v_b' ) ) ] )
% 148.05/148.53  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 148.05/148.53  
% 148.05/148.53  
% 148.05/148.53  subsumption(
% 148.05/148.53  clause( 4, [ ~( 'c_in'( 'v_f'( X ), Y, 'tc_IntDef_Oint' ) ), 'c_in'( 'v_x'( 
% 148.05/148.53    X, Y ), Y, 'tc_IntDef_Oint' ) ] )
% 148.05/148.53  , clause( 66, [ ~( 'c_in'( 'v_f'( X ), Y, 'tc_IntDef_Oint' ) ), 'c_in'( 
% 148.05/148.53    'v_x'( X, Y ), Y, 'tc_IntDef_Oint' ) ] )
% 148.05/148.53  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 148.05/148.53     ), ==>( 1, 1 )] ) ).
% 148.05/148.53  
% 148.05/148.53  
% 148.05/148.53  subsumption(
% 148.05/148.53  clause( 5, [ ~( 'c_in'( 'v_f'( X ), Y, 'tc_IntDef_Oint' ) ), ~( 'v_P'( 
% 148.05/148.53    'v_x'( X, Y ) ) ) ] )
% 148.05/148.53  , clause( 67, [ ~( 'c_in'( 'v_f'( X ), Y, 'tc_IntDef_Oint' ) ), ~( 'v_P'( 
% 148.05/148.53    'v_x'( X, Y ) ) ) ] )
% 148.05/148.53  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 148.05/148.53     ), ==>( 1, 1 )] ) ).
% 148.05/148.53  
% 148.05/148.53  
% 148.05/148.53  eqswap(
% 148.05/148.53  clause( 72, [ =( Y, X ), ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( 
% 148.05/148.53    X, Z, T ) ] )
% 148.05/148.53  , clause( 2, [ ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 'c_in'( X, Z, T
% 148.05/148.53     ), =( X, Y ) ] )
% 148.05/148.53  , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 148.05/148.53    ).
% 148.05/148.53  
% 148.05/148.53  
% 148.05/148.53  resolution(
% 148.05/148.53  clause( 73, [ =( Z, X ), ~( 'c_in'( X, 'c_insert'( Z, 'c_emptyset', Y ), Y
% 148.05/148.53     ) ) ] )
% 148.05/148.53  , clause( 0, [ ~( 'c_in'( X, 'c_emptyset', Y ) ) ] )
% 148.05/148.53  , 0, clause( 72, [ =( Y, X ), ~( 'c_in'( X, 'c_insert'( Y, Z, T ), T ) ), 
% 148.05/148.53    'c_in'( X, Z, T ) ] )
% 148.05/148.53  , 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 148.05/148.53    , X ), :=( Y, Z ), :=( Z, 'c_emptyset' ), :=( T, Y )] )).
% 148.05/148.53  
% 148.05/148.53  
% 148.05/148.53  eqswap(
% 148.05/148.53  clause( 74, [ =( Y, X ), ~( 'c_in'( Y, 'c_insert'( X, 'c_emptyset', Z ), Z
% 148.05/148.53     ) ) ] )
% 148.05/148.53  , clause( 73, [ =( Z, X ), ~( 'c_in'( X, 'c_insert'( Z, 'c_emptyset', Y ), 
% 148.05/148.53    Y ) ) ] )
% 148.05/148.53  , 0, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 148.05/148.53  
% 148.05/148.53  
% 148.05/148.53  subsumption(
% 148.05/148.53  clause( 9, [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), =( X, Y
% 148.05/148.53     ) ] )
% 148.05/148.53  , clause( 74, [ =( Y, X ), ~( 'c_in'( Y, 'c_insert'( X, 'c_emptyset', Z ), 
% 148.05/148.53    Z ) ) ] )
% 148.05/148.53  , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ), 
% 148.05/148.53    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 148.05/148.53  
% 148.05/148.53  
% 148.05/148.53  eqswap(
% 148.05/148.53  clause( 75, [ =( Y, X ), ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z
% 148.05/148.53     ) ) ] )
% 148.05/148.53  , clause( 9, [ ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), Z ) ), =( X
% 148.05/148.53    , Y ) ] )
% 148.05/148.53  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 148.05/148.53  
% 148.05/148.53  
% 148.05/148.53  paramod(
% 148.05/148.53  clause( 76, [ 'v_P'( X ), ~( 'c_in'( X, 'c_insert'( 'v_f'( 'v_b' ), 
% 148.05/148.53    'c_emptyset', Y ), Y ) ) ] )
% 148.05/148.53  , clause( 75, [ =( Y, X ), ~( 'c_in'( X, 'c_insert'( Y, 'c_emptyset', Z ), 
% 148.05/148.53    Z ) ) ] )
% 148.05/148.53  , 0, clause( 3, [ 'v_P'( 'v_f'( 'v_b' ) ) ] )
% 148.05/148.53  , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, 'v_f'( 'v_b' ) ), :=( Z, Y )] )
% 148.05/148.53    , substitution( 1, [] )).
% 148.05/148.53  
% 148.05/148.53  
% 148.05/148.53  subsumption(
% 148.05/148.53  clause( 40, [ 'v_P'( X ), ~( 'c_in'( X, 'c_insert'( 'v_f'( 'v_b' ), 
% 148.05/148.53    'c_emptyset', Y ), Y ) ) ] )
% 148.05/148.53  , clause( 76, [ 'v_P'( X ), ~( 'c_in'( X, 'c_insert'( 'v_f'( 'v_b' ), 
% 148.05/148.53    'c_emptyset', Y ), Y ) ) ] )
% 148.05/148.53  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 148.05/148.53     ), ==>( 1, 1 )] ) ).
% 148.05/148.53  
% 148.05/148.53  
% 148.05/148.53  resolution(
% 148.05/148.53  clause( 79144, [ 'v_P'( 'v_x'( X, 'c_insert'( 'v_f'( 'v_b' ), 'c_emptyset'
% 148.05/148.53    , 'tc_IntDef_Oint' ) ) ), ~( 'c_in'( 'v_f'( X ), 'c_insert'( 'v_f'( 'v_b'
% 148.05/148.53     ), 'c_emptyset', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ] )
% 148.05/148.53  , clause( 40, [ 'v_P'( X ), ~( 'c_in'( X, 'c_insert'( 'v_f'( 'v_b' ), 
% 148.05/148.53    'c_emptyset', Y ), Y ) ) ] )
% 148.05/148.53  , 1, clause( 4, [ ~( 'c_in'( 'v_f'( X ), Y, 'tc_IntDef_Oint' ) ), 'c_in'( 
% 148.05/148.53    'v_x'( X, Y ), Y, 'tc_IntDef_Oint' ) ] )
% 148.05/148.53  , 1, substitution( 0, [ :=( X, 'v_x'( X, 'c_insert'( 'v_f'( 'v_b' ), 
% 148.05/148.53    'c_emptyset', 'tc_IntDef_Oint' ) ) ), :=( Y, 'tc_IntDef_Oint' )] ), 
% 148.05/148.53    substitution( 1, [ :=( X, X ), :=( Y, 'c_insert'( 'v_f'( 'v_b' ), 
% 148.05/148.54    'c_emptyset', 'tc_IntDef_Oint' ) )] )).
% 148.05/148.54  
% 148.05/148.54  
% 148.05/148.54  resolution(
% 148.05/148.54  clause( 79145, [ ~( 'c_in'( 'v_f'( X ), 'c_insert'( 'v_f'( 'v_b' ), 
% 148.05/148.54    'c_emptyset', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_in'( 'v_f'( 
% 148.05/148.54    X ), 'c_insert'( 'v_f'( 'v_b' ), 'c_emptyset', 'tc_IntDef_Oint' ), 
% 148.05/148.54    'tc_IntDef_Oint' ) ) ] )
% 148.05/148.54  , clause( 5, [ ~( 'c_in'( 'v_f'( X ), Y, 'tc_IntDef_Oint' ) ), ~( 'v_P'( 
% 148.05/148.54    'v_x'( X, Y ) ) ) ] )
% 148.05/148.54  , 1, clause( 79144, [ 'v_P'( 'v_x'( X, 'c_insert'( 'v_f'( 'v_b' ), 
% 148.05/148.54    'c_emptyset', 'tc_IntDef_Oint' ) ) ), ~( 'c_in'( 'v_f'( X ), 'c_insert'( 
% 148.05/148.54    'v_f'( 'v_b' ), 'c_emptyset', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ]
% 148.05/148.54     )
% 148.05/148.54  , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_insert'( 'v_f'( 'v_b' ), 
% 148.05/148.54    'c_emptyset', 'tc_IntDef_Oint' ) )] ), substitution( 1, [ :=( X, X )] )
% 148.05/148.54    ).
% 148.05/148.54  
% 148.05/148.54  
% 148.05/148.54  factor(
% 148.05/148.54  clause( 79146, [ ~( 'c_in'( 'v_f'( X ), 'c_insert'( 'v_f'( 'v_b' ), 
% 148.05/148.54    'c_emptyset', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ] )
% 148.05/148.54  , clause( 79145, [ ~( 'c_in'( 'v_f'( X ), 'c_insert'( 'v_f'( 'v_b' ), 
% 148.05/148.54    'c_emptyset', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ), ~( 'c_in'( 'v_f'( 
% 148.05/148.54    X ), 'c_insert'( 'v_f'( 'v_b' ), 'c_emptyset', 'tc_IntDef_Oint' ), 
% 148.05/148.54    'tc_IntDef_Oint' ) ) ] )
% 148.05/148.54  , 0, 1, substitution( 0, [ :=( X, X )] )).
% 148.05/148.54  
% 148.05/148.54  
% 148.05/148.54  subsumption(
% 148.05/148.54  clause( 57, [ ~( 'c_in'( 'v_f'( X ), 'c_insert'( 'v_f'( 'v_b' ), 
% 148.05/148.54    'c_emptyset', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ] )
% 148.05/148.54  , clause( 79146, [ ~( 'c_in'( 'v_f'( X ), 'c_insert'( 'v_f'( 'v_b' ), 
% 148.05/148.54    'c_emptyset', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ] )
% 148.05/148.54  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 148.05/148.54  
% 148.05/148.54  
% 148.05/148.54  resolution(
% 148.05/148.54  clause( 79147, [] )
% 148.05/148.54  , clause( 57, [ ~( 'c_in'( 'v_f'( X ), 'c_insert'( 'v_f'( 'v_b' ), 
% 148.05/148.54    'c_emptyset', 'tc_IntDef_Oint' ), 'tc_IntDef_Oint' ) ) ] )
% 148.05/148.54  , 0, clause( 1, [ 'c_in'( X, 'c_insert'( X, Y, Z ), Z ) ] )
% 148.05/148.54  , 0, substitution( 0, [ :=( X, 'v_b' )] ), substitution( 1, [ :=( X, 'v_f'( 
% 148.05/148.54    'v_b' ) ), :=( Y, 'c_emptyset' ), :=( Z, 'tc_IntDef_Oint' )] )).
% 148.05/148.54  
% 148.05/148.54  
% 148.05/148.54  subsumption(
% 148.05/148.54  clause( 60, [] )
% 148.05/148.54  , clause( 79147, [] )
% 148.05/148.54  , substitution( 0, [] ), permutation( 0, [] ) ).
% 148.05/148.54  
% 148.05/148.54  
% 148.05/148.54  end.
% 148.05/148.54  
% 148.05/148.54  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 148.05/148.54  
% 148.05/148.54  Memory use:
% 148.05/148.54  
% 148.05/148.54  space for terms:        1165
% 148.05/148.54  space for clauses:      4247
% 148.05/148.54  
% 148.05/148.54  
% 148.05/148.54  clauses generated:      228
% 148.05/148.54  clauses kept:           61
% 148.05/148.54  clauses selected:       14
% 148.05/148.54  clauses deleted:        0
% 148.05/148.54  clauses inuse deleted:  0
% 148.05/148.54  
% 148.05/148.54  subsentry:          1119318753
% 148.05/148.54  literals s-matched: 30391628
% 148.05/148.54  literals matched:   21636660
% 148.05/148.54  full subsumption:   21502944
% 148.05/148.54  
% 148.05/148.54  checksum:           -311770893
% 148.05/148.54  
% 148.05/148.54  
% 148.05/148.54  Bliksem ended
%------------------------------------------------------------------------------