TSTP Solution File: SET841-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET841-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n024.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 22:52:37 EDT 2022

% Result   : Unsatisfiable 0.43s 1.08s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET841-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n024.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 : Sun Jul 10 01:18:28 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.43/1.08  *** allocated 10000 integers for termspace/termends
% 0.43/1.08  *** allocated 10000 integers for clauses
% 0.43/1.08  *** allocated 10000 integers for justifications
% 0.43/1.08  Bliksem 1.12
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  Automatic Strategy Selection
% 0.43/1.08  
% 0.43/1.08  Clauses:
% 0.43/1.08  [
% 0.43/1.08     [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ],
% 0.43/1.08     [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), 
% 0.43/1.08    ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), ~( 
% 0.43/1.08    'c_lessequals'( X, T, 'tc_set'( 'tc_set'( Z ) ) ) ), 'c_lessequals'( 
% 0.43/1.08    'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) ), =( X, T ) ]
% 0.43/1.08    ,
% 0.43/1.08     [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 
% 0.43/1.08    't_a' ) ) ) ],
% 0.43/1.08     [ =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ) ],
% 0.43/1.08     [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 
% 0.43/1.08    't_a' ) ) ) ],
% 0.43/1.08     [ 'c_lessequals'( 'v_x', 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ],
% 0.43/1.08     [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 'v_m', 
% 0.43/1.08    'tc_set'( 'tc_set'( 't_a' ) ) ) ) ]
% 0.43/1.08  ] .
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  percentage equality = 0.181818, percentage horn = 0.857143
% 0.43/1.08  This is a problem with some equality
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  Options Used:
% 0.43/1.08  
% 0.43/1.08  useres =            1
% 0.43/1.08  useparamod =        1
% 0.43/1.08  useeqrefl =         1
% 0.43/1.08  useeqfact =         1
% 0.43/1.08  usefactor =         1
% 0.43/1.08  usesimpsplitting =  0
% 0.43/1.08  usesimpdemod =      5
% 0.43/1.08  usesimpres =        3
% 0.43/1.08  
% 0.43/1.08  resimpinuse      =  1000
% 0.43/1.08  resimpclauses =     20000
% 0.43/1.08  substype =          eqrewr
% 0.43/1.08  backwardsubs =      1
% 0.43/1.08  selectoldest =      5
% 0.43/1.08  
% 0.43/1.08  litorderings [0] =  split
% 0.43/1.08  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.43/1.08  
% 0.43/1.08  termordering =      kbo
% 0.43/1.08  
% 0.43/1.08  litapriori =        0
% 0.43/1.08  termapriori =       1
% 0.43/1.08  litaposteriori =    0
% 0.43/1.08  termaposteriori =   0
% 0.43/1.08  demodaposteriori =  0
% 0.43/1.08  ordereqreflfact =   0
% 0.43/1.08  
% 0.43/1.08  litselect =         negord
% 0.43/1.08  
% 0.43/1.08  maxweight =         15
% 0.43/1.08  maxdepth =          30000
% 0.43/1.08  maxlength =         115
% 0.43/1.08  maxnrvars =         195
% 0.43/1.08  excuselevel =       1
% 0.43/1.08  increasemaxweight = 1
% 0.43/1.08  
% 0.43/1.08  maxselected =       10000000
% 0.43/1.08  maxnrclauses =      10000000
% 0.43/1.08  
% 0.43/1.08  showgenerated =    0
% 0.43/1.08  showkept =         0
% 0.43/1.08  showselected =     0
% 0.43/1.08  showdeleted =      0
% 0.43/1.08  showresimp =       1
% 0.43/1.08  showstatus =       2000
% 0.43/1.08  
% 0.43/1.08  prologoutput =     1
% 0.43/1.08  nrgoals =          5000000
% 0.43/1.08  totalproof =       1
% 0.43/1.08  
% 0.43/1.08  Symbols occurring in the translation:
% 0.43/1.08  
% 0.43/1.08  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.43/1.08  .  [1, 2]      (w:1, o:24, a:1, s:1, b:0), 
% 0.43/1.08  !  [4, 1]      (w:0, o:18, a:1, s:1, b:0), 
% 0.43/1.08  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/1.08  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.43/1.08  'tc_set'  [41, 1]      (w:1, o:23, a:1, s:1, b:0), 
% 0.43/1.08  'c_lessequals'  [42, 3]      (w:1, o:50, a:1, s:1, b:0), 
% 0.43/1.08  'c_Zorn_OTFin'  [45, 2]      (w:1, o:49, a:1, s:1, b:0), 
% 0.43/1.08  'c_in'  [46, 3]      (w:1, o:51, a:1, s:1, b:0), 
% 0.43/1.08  'c_Zorn_Osucc'  [48, 3]      (w:1, o:52, a:1, s:1, b:0), 
% 0.43/1.08  'v_m'  [49, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.43/1.08  'v_S'  [50, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.43/1.08  't_a'  [51, 0]      (w:1, o:16, a:1, s:1, b:0), 
% 0.43/1.08  'v_x'  [52, 0]      (w:1, o:17, a:1, s:1, b:0).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  Starting Search:
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  Bliksems!, er is een bewijs:
% 0.43/1.08  % SZS status Unsatisfiable
% 0.43/1.08  % SZS output start Refutation
% 0.43/1.08  
% 0.43/1.08  clause( 0, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 1, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 0.43/1.08     ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 0.43/1.08     ), ~( 'c_lessequals'( X, T, 'tc_set'( 'tc_set'( Z ) ) ) ), 
% 0.43/1.08    'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) )
% 0.43/1.08    , =( X, T ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 2, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 
% 0.43/1.08    'tc_set'( 't_a' ) ) ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 3, [ =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 4, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 
% 0.43/1.08    'tc_set'( 't_a' ) ) ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 5, [ 'c_lessequals'( 'v_x', 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) )
% 0.43/1.08     ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 6, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 
% 0.43/1.08    'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 62, [ ~( 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 
% 0.43/1.08    'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( 'v_x', 'v_m', 'tc_set'( 
% 0.43/1.08    'tc_set'( 't_a' ) ) ) ), =( 'v_x', 'v_m' ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 77, [ =( 'v_x', 'v_m' ) ] )
% 0.43/1.08  .
% 0.43/1.08  clause( 78, [] )
% 0.43/1.08  .
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  % SZS output end Refutation
% 0.43/1.08  found a proof!
% 0.43/1.08  
% 0.43/1.08  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.08  
% 0.43/1.08  initialclauses(
% 0.43/1.08  [ clause( 80, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.43/1.08  , clause( 81, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 0.43/1.08     ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 0.43/1.08     ) ), ~( 'c_lessequals'( X, T, 'tc_set'( 'tc_set'( Z ) ) ) ), 
% 0.43/1.08    'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) )
% 0.43/1.08    , =( X, T ) ] )
% 0.43/1.08  , clause( 82, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 
% 0.43/1.08    'tc_set'( 't_a' ) ) ) ] )
% 0.43/1.08  , clause( 83, [ =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ) ] )
% 0.43/1.08  , clause( 84, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 
% 0.43/1.08    'tc_set'( 't_a' ) ) ) ] )
% 0.43/1.08  , clause( 85, [ 'c_lessequals'( 'v_x', 'v_m', 'tc_set'( 'tc_set'( 't_a' ) )
% 0.43/1.08     ) ] )
% 0.43/1.08  , clause( 86, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 
% 0.43/1.08    'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.08  ] ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 0, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.43/1.08  , clause( 80, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.43/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.43/1.08     )] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 1, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 0.43/1.08     ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) )
% 0.43/1.08     ), ~( 'c_lessequals'( X, T, 'tc_set'( 'tc_set'( Z ) ) ) ), 
% 0.43/1.08    'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) )
% 0.43/1.08    , =( X, T ) ] )
% 0.43/1.08  , clause( 81, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 0.43/1.08     ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 0.43/1.08     ) ), ~( 'c_lessequals'( X, T, 'tc_set'( 'tc_set'( Z ) ) ) ), 
% 0.43/1.08    'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) )
% 0.43/1.08    , =( X, T ) ] )
% 0.43/1.08  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 0.43/1.08    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), 
% 0.43/1.08    ==>( 4, 4 )] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 2, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 
% 0.43/1.08    'tc_set'( 't_a' ) ) ) ] )
% 0.43/1.08  , clause( 82, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 
% 0.43/1.08    'tc_set'( 't_a' ) ) ) ] )
% 0.43/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  eqswap(
% 0.43/1.08  clause( 93, [ =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ) ] )
% 0.43/1.08  , clause( 83, [ =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ) ] )
% 0.43/1.08  , 0, substitution( 0, [] )).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 3, [ =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ) ] )
% 0.43/1.08  , clause( 93, [ =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ) ] )
% 0.43/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 4, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 
% 0.43/1.08    'tc_set'( 't_a' ) ) ) ] )
% 0.43/1.08  , clause( 84, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 
% 0.43/1.08    'tc_set'( 't_a' ) ) ) ] )
% 0.43/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 5, [ 'c_lessequals'( 'v_x', 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) )
% 0.43/1.08     ] )
% 0.43/1.08  , clause( 85, [ 'c_lessequals'( 'v_x', 'v_m', 'tc_set'( 'tc_set'( 't_a' ) )
% 0.43/1.08     ) ] )
% 0.43/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 6, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 
% 0.43/1.08    'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.08  , clause( 86, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 
% 0.43/1.08    'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  eqswap(
% 0.43/1.08  clause( 103, [ =( Y, X ), ~( 'c_in'( X, 'c_Zorn_OTFin'( Z, T ), 'tc_set'( 
% 0.43/1.08    'tc_set'( T ) ) ) ), ~( 'c_in'( Y, 'c_Zorn_OTFin'( Z, T ), 'tc_set'( 
% 0.43/1.08    'tc_set'( T ) ) ) ), ~( 'c_lessequals'( X, Y, 'tc_set'( 'tc_set'( T ) ) )
% 0.43/1.08     ), 'c_lessequals'( 'c_Zorn_Osucc'( Z, X, T ), Y, 'tc_set'( 'tc_set'( T )
% 0.43/1.08     ) ) ] )
% 0.43/1.08  , clause( 1, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 0.43/1.08     ) ) ) ), ~( 'c_in'( T, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) )
% 0.43/1.08     ) ), ~( 'c_lessequals'( X, T, 'tc_set'( 'tc_set'( Z ) ) ) ), 
% 0.43/1.08    'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), T, 'tc_set'( 'tc_set'( Z ) ) )
% 0.43/1.08    , =( X, T ) ] )
% 0.43/1.08  , 4, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, T ), :=( T, Y )] )
% 0.43/1.08    ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  resolution(
% 0.43/1.08  clause( 104, [ =( 'v_m', 'v_x' ), ~( 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 
% 0.43/1.08    't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( 'v_m', 
% 0.43/1.08    'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 
% 0.43/1.08    'c_lessequals'( 'v_x', 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.08  , clause( 6, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' ), 
% 0.43/1.08    'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.08  , 0, clause( 103, [ =( Y, X ), ~( 'c_in'( X, 'c_Zorn_OTFin'( Z, T ), 
% 0.43/1.08    'tc_set'( 'tc_set'( T ) ) ) ), ~( 'c_in'( Y, 'c_Zorn_OTFin'( Z, T ), 
% 0.43/1.08    'tc_set'( 'tc_set'( T ) ) ) ), ~( 'c_lessequals'( X, Y, 'tc_set'( 
% 0.43/1.08    'tc_set'( T ) ) ) ), 'c_lessequals'( 'c_Zorn_Osucc'( Z, X, T ), Y, 
% 0.43/1.08    'tc_set'( 'tc_set'( T ) ) ) ] )
% 0.43/1.08  , 4, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_x' ), :=( Y, 'v_m'
% 0.43/1.08     ), :=( Z, 'v_S' ), :=( T, 't_a' )] )).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  resolution(
% 0.43/1.08  clause( 105, [ =( 'v_m', 'v_x' ), ~( 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 
% 0.43/1.08    't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( 'v_x', 
% 0.43/1.08    'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.08  , clause( 104, [ =( 'v_m', 'v_x' ), ~( 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S'
% 0.43/1.08    , 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_in'( 'v_m', 
% 0.43/1.08    'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 
% 0.43/1.08    'c_lessequals'( 'v_x', 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.08  , 1, clause( 4, [ 'c_in'( 'v_x', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 
% 0.43/1.08    'tc_set'( 't_a' ) ) ) ] )
% 0.43/1.08  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  eqswap(
% 0.43/1.08  clause( 106, [ =( 'v_x', 'v_m' ), ~( 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 
% 0.43/1.08    't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( 'v_x', 
% 0.43/1.08    'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.08  , clause( 105, [ =( 'v_m', 'v_x' ), ~( 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S'
% 0.43/1.08    , 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( 'v_x', 
% 0.43/1.08    'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.08  , 0, substitution( 0, [] )).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 62, [ ~( 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 
% 0.43/1.08    'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( 'v_x', 'v_m', 'tc_set'( 
% 0.43/1.08    'tc_set'( 't_a' ) ) ) ), =( 'v_x', 'v_m' ) ] )
% 0.43/1.08  , clause( 106, [ =( 'v_x', 'v_m' ), ~( 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S'
% 0.43/1.08    , 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( 'v_x', 
% 0.43/1.08    'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 0.43/1.08    , 1 )] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  resolution(
% 0.43/1.08  clause( 108, [ ~( 'c_lessequals'( 'v_x', 'v_m', 'tc_set'( 'tc_set'( 't_a' )
% 0.43/1.08     ) ) ), =( 'v_x', 'v_m' ) ] )
% 0.43/1.08  , clause( 62, [ ~( 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 
% 0.43/1.08    'tc_set'( 't_a' ) ) ) ), ~( 'c_lessequals'( 'v_x', 'v_m', 'tc_set'( 
% 0.43/1.08    'tc_set'( 't_a' ) ) ) ), =( 'v_x', 'v_m' ) ] )
% 0.43/1.08  , 0, clause( 2, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 
% 0.43/1.08    'tc_set'( 't_a' ) ) ) ] )
% 0.43/1.08  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  resolution(
% 0.43/1.08  clause( 109, [ =( 'v_x', 'v_m' ) ] )
% 0.43/1.08  , clause( 108, [ ~( 'c_lessequals'( 'v_x', 'v_m', 'tc_set'( 'tc_set'( 't_a'
% 0.43/1.08     ) ) ) ), =( 'v_x', 'v_m' ) ] )
% 0.43/1.08  , 0, clause( 5, [ 'c_lessequals'( 'v_x', 'v_m', 'tc_set'( 'tc_set'( 't_a' )
% 0.43/1.08     ) ) ] )
% 0.43/1.08  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 77, [ =( 'v_x', 'v_m' ) ] )
% 0.43/1.08  , clause( 109, [ =( 'v_x', 'v_m' ) ] )
% 0.43/1.08  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  paramod(
% 0.43/1.08  clause( 113, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 
% 0.43/1.08    'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.08  , clause( 77, [ =( 'v_x', 'v_m' ) ] )
% 0.43/1.08  , 0, clause( 6, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_x', 't_a' )
% 0.43/1.08    , 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.08  , 0, 4, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  paramod(
% 0.43/1.08  clause( 114, [ ~( 'c_lessequals'( 'v_m', 'v_m', 'tc_set'( 'tc_set'( 't_a' )
% 0.43/1.08     ) ) ) ] )
% 0.43/1.08  , clause( 3, [ =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ) ] )
% 0.43/1.08  , 0, clause( 113, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a'
% 0.43/1.08     ), 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.43/1.08  , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  resolution(
% 0.43/1.08  clause( 115, [] )
% 0.43/1.08  , clause( 114, [ ~( 'c_lessequals'( 'v_m', 'v_m', 'tc_set'( 'tc_set'( 't_a'
% 0.43/1.08     ) ) ) ) ] )
% 0.43/1.08  , 0, clause( 0, [ 'c_lessequals'( X, X, 'tc_set'( Y ) ) ] )
% 0.43/1.08  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_m' ), :=( Y, 
% 0.43/1.08    'tc_set'( 't_a' ) )] )).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  subsumption(
% 0.43/1.08  clause( 78, [] )
% 0.43/1.08  , clause( 115, [] )
% 0.43/1.08  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  end.
% 0.43/1.08  
% 0.43/1.08  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.43/1.08  
% 0.43/1.08  Memory use:
% 0.43/1.08  
% 0.43/1.08  space for terms:        3496
% 0.43/1.08  space for clauses:      3722
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  clauses generated:      259
% 0.43/1.08  clauses kept:           79
% 0.43/1.08  clauses selected:       8
% 0.43/1.08  clauses deleted:        1
% 0.43/1.08  clauses inuse deleted:  0
% 0.43/1.08  
% 0.43/1.08  subsentry:          236
% 0.43/1.08  literals s-matched: 208
% 0.43/1.08  literals matched:   204
% 0.43/1.08  full subsumption:   178
% 0.43/1.08  
% 0.43/1.08  checksum:           -1657185328
% 0.43/1.08  
% 0.43/1.08  
% 0.43/1.08  Bliksem ended
%------------------------------------------------------------------------------