TSTP Solution File: SET845-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SET845-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n003.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 22:52:41 EDT 2022

% Result   : Unsatisfiable 0.40s 1.06s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET845-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n003.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 08:24:45 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.40/1.06  *** allocated 10000 integers for termspace/termends
% 0.40/1.06  *** allocated 10000 integers for clauses
% 0.40/1.06  *** allocated 10000 integers for justifications
% 0.40/1.06  Bliksem 1.12
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  Automatic Strategy Selection
% 0.40/1.06  
% 0.40/1.06  Clauses:
% 0.40/1.06  [
% 0.40/1.06     [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, 'c_Union'( Y, Z
% 0.40/1.06     ), 'tc_set'( Z ) ) ],
% 0.40/1.06     [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( Y, X, 
% 0.40/1.06    'tc_set'( Z ) ) ), =( Y, X ) ],
% 0.40/1.06     [ 'c_lessequals'( X, 'c_Zorn_Osucc'( Y, X, Z ), 'tc_set'( 'tc_set'( Z )
% 0.40/1.06     ) ) ],
% 0.40/1.06     [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z ) ) ) ), 
% 0.40/1.06    'c_in'( 'c_Zorn_Osucc'( Y, X, Z ), 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 
% 0.40/1.06    'tc_set'( Z ) ) ) ],
% 0.40/1.06     [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 
% 0.40/1.06    't_a' ) ) ) ],
% 0.40/1.06     [ =( 'v_m', 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a' )
% 0.40/1.06     ) ) ],
% 0.40/1.06     [ ~( =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ) ) ]
% 0.40/1.06  ] .
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  percentage equality = 0.272727, percentage horn = 1.000000
% 0.40/1.06  This is a problem with some equality
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  Options Used:
% 0.40/1.06  
% 0.40/1.06  useres =            1
% 0.40/1.06  useparamod =        1
% 0.40/1.06  useeqrefl =         1
% 0.40/1.06  useeqfact =         1
% 0.40/1.06  usefactor =         1
% 0.40/1.06  usesimpsplitting =  0
% 0.40/1.06  usesimpdemod =      5
% 0.40/1.06  usesimpres =        3
% 0.40/1.06  
% 0.40/1.06  resimpinuse      =  1000
% 0.40/1.06  resimpclauses =     20000
% 0.40/1.06  substype =          eqrewr
% 0.40/1.06  backwardsubs =      1
% 0.40/1.06  selectoldest =      5
% 0.40/1.06  
% 0.40/1.06  litorderings [0] =  split
% 0.40/1.06  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.40/1.06  
% 0.40/1.06  termordering =      kbo
% 0.40/1.06  
% 0.40/1.06  litapriori =        0
% 0.40/1.06  termapriori =       1
% 0.40/1.06  litaposteriori =    0
% 0.40/1.06  termaposteriori =   0
% 0.40/1.06  demodaposteriori =  0
% 0.40/1.06  ordereqreflfact =   0
% 0.40/1.06  
% 0.40/1.06  litselect =         negord
% 0.40/1.06  
% 0.40/1.06  maxweight =         15
% 0.40/1.06  maxdepth =          30000
% 0.40/1.06  maxlength =         115
% 0.40/1.06  maxnrvars =         195
% 0.40/1.06  excuselevel =       1
% 0.40/1.06  increasemaxweight = 1
% 0.40/1.06  
% 0.40/1.06  maxselected =       10000000
% 0.40/1.06  maxnrclauses =      10000000
% 0.40/1.06  
% 0.40/1.06  showgenerated =    0
% 0.40/1.06  showkept =         0
% 0.40/1.06  showselected =     0
% 0.40/1.06  showdeleted =      0
% 0.40/1.06  showresimp =       1
% 0.40/1.06  showstatus =       2000
% 0.40/1.06  
% 0.40/1.06  prologoutput =     1
% 0.40/1.06  nrgoals =          5000000
% 0.40/1.06  totalproof =       1
% 0.40/1.06  
% 0.40/1.06  Symbols occurring in the translation:
% 0.40/1.06  
% 0.40/1.06  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.40/1.06  .  [1, 2]      (w:1, o:23, a:1, s:1, b:0), 
% 0.40/1.06  !  [4, 1]      (w:0, o:17, a:1, s:1, b:0), 
% 0.40/1.06  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.40/1.06  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.40/1.06  'tc_set'  [42, 1]      (w:1, o:22, a:1, s:1, b:0), 
% 0.40/1.06  'c_in'  [43, 3]      (w:1, o:50, a:1, s:1, b:0), 
% 0.40/1.06  'c_Union'  [44, 2]      (w:1, o:48, a:1, s:1, b:0), 
% 0.40/1.06  'c_lessequals'  [45, 3]      (w:1, o:51, a:1, s:1, b:0), 
% 0.40/1.06  'c_Zorn_Osucc'  [48, 3]      (w:1, o:52, a:1, s:1, b:0), 
% 0.40/1.06  'c_Zorn_OTFin'  [49, 2]      (w:1, o:49, a:1, s:1, b:0), 
% 0.40/1.06  'v_m'  [50, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.40/1.06  'v_S'  [51, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.40/1.06  't_a'  [52, 0]      (w:1, o:16, a:1, s:1, b:0).
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  Starting Search:
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  Bliksems!, er is een bewijs:
% 0.40/1.06  % SZS status Unsatisfiable
% 0.40/1.06  % SZS output start Refutation
% 0.40/1.06  
% 0.40/1.06  clause( 0, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, 
% 0.40/1.06    'c_Union'( Y, Z ), 'tc_set'( Z ) ) ] )
% 0.40/1.06  .
% 0.40/1.06  clause( 1, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( 
% 0.40/1.06    Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 0.40/1.06  .
% 0.40/1.06  clause( 2, [ 'c_lessequals'( X, 'c_Zorn_Osucc'( Y, X, Z ), 'tc_set'( 
% 0.40/1.06    'tc_set'( Z ) ) ) ] )
% 0.40/1.06  .
% 0.40/1.06  clause( 3, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 0.40/1.06     ) ) ), 'c_in'( 'c_Zorn_Osucc'( Y, X, Z ), 'c_Zorn_OTFin'( Y, Z ), 
% 0.40/1.06    'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.40/1.06  .
% 0.40/1.06  clause( 4, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 
% 0.40/1.06    'tc_set'( 't_a' ) ) ) ] )
% 0.40/1.06  .
% 0.40/1.06  clause( 5, [ =( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a'
% 0.40/1.06     ) ), 'v_m' ) ] )
% 0.40/1.06  .
% 0.40/1.06  clause( 6, [ ~( =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ) ) ] )
% 0.40/1.06  .
% 0.40/1.06  clause( 8, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 
% 0.40/1.06    'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'( 
% 0.40/1.06    't_a' ) ) ) ] )
% 0.40/1.06  .
% 0.40/1.06  clause( 10, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( X, Y, Z ), Y, 'tc_set'( 
% 0.40/1.06    'tc_set'( Z ) ) ) ), =( 'c_Zorn_Osucc'( X, Y, Z ), Y ) ] )
% 0.40/1.06  .
% 0.40/1.06  clause( 31, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 
% 0.40/1.06    'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.40/1.06  .
% 0.40/1.06  clause( 33, [ ~( 'c_in'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 
% 0.40/1.06    'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.40/1.06  .
% 0.40/1.06  clause( 36, [] )
% 0.40/1.06  .
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  % SZS output end Refutation
% 0.40/1.06  found a proof!
% 0.40/1.06  
% 0.40/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.40/1.06  
% 0.40/1.06  initialclauses(
% 0.40/1.06  [ clause( 38, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, 
% 0.40/1.06    'c_Union'( Y, Z ), 'tc_set'( Z ) ) ] )
% 0.40/1.06  , clause( 39, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 
% 0.40/1.06    'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 0.40/1.06  , clause( 40, [ 'c_lessequals'( X, 'c_Zorn_Osucc'( Y, X, Z ), 'tc_set'( 
% 0.40/1.06    'tc_set'( Z ) ) ) ] )
% 0.40/1.06  , clause( 41, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 0.40/1.06     ) ) ) ), 'c_in'( 'c_Zorn_Osucc'( Y, X, Z ), 'c_Zorn_OTFin'( Y, Z ), 
% 0.40/1.06    'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.40/1.06  , clause( 42, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 
% 0.40/1.06    'tc_set'( 't_a' ) ) ) ] )
% 0.40/1.06  , clause( 43, [ =( 'v_m', 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 
% 0.40/1.06    'tc_set'( 't_a' ) ) ) ] )
% 0.40/1.06  , clause( 44, [ ~( =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ) ) ] )
% 0.40/1.06  ] ).
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  subsumption(
% 0.40/1.06  clause( 0, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, 
% 0.40/1.06    'c_Union'( Y, Z ), 'tc_set'( Z ) ) ] )
% 0.40/1.06  , clause( 38, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, 
% 0.40/1.06    'c_Union'( Y, Z ), 'tc_set'( Z ) ) ] )
% 0.40/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.40/1.06    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  subsumption(
% 0.40/1.06  clause( 1, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 'c_lessequals'( 
% 0.40/1.06    Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 0.40/1.06  , clause( 39, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 
% 0.40/1.06    'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 0.40/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.40/1.06    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  subsumption(
% 0.40/1.06  clause( 2, [ 'c_lessequals'( X, 'c_Zorn_Osucc'( Y, X, Z ), 'tc_set'( 
% 0.40/1.06    'tc_set'( Z ) ) ) ] )
% 0.40/1.06  , clause( 40, [ 'c_lessequals'( X, 'c_Zorn_Osucc'( Y, X, Z ), 'tc_set'( 
% 0.40/1.06    'tc_set'( Z ) ) ) ] )
% 0.40/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.40/1.06    permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  subsumption(
% 0.40/1.06  clause( 3, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z )
% 0.40/1.06     ) ) ), 'c_in'( 'c_Zorn_Osucc'( Y, X, Z ), 'c_Zorn_OTFin'( Y, Z ), 
% 0.40/1.06    'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.40/1.06  , clause( 41, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 0.40/1.06     ) ) ) ), 'c_in'( 'c_Zorn_Osucc'( Y, X, Z ), 'c_Zorn_OTFin'( Y, Z ), 
% 0.40/1.06    'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.40/1.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.40/1.06    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  subsumption(
% 0.40/1.06  clause( 4, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 
% 0.40/1.06    'tc_set'( 't_a' ) ) ) ] )
% 0.40/1.06  , clause( 42, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 
% 0.40/1.06    'tc_set'( 't_a' ) ) ) ] )
% 0.40/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  eqswap(
% 0.40/1.06  clause( 50, [ =( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a'
% 0.40/1.06     ) ), 'v_m' ) ] )
% 0.40/1.06  , clause( 43, [ =( 'v_m', 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 
% 0.40/1.06    'tc_set'( 't_a' ) ) ) ] )
% 0.40/1.06  , 0, substitution( 0, [] )).
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  subsumption(
% 0.40/1.06  clause( 5, [ =( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 't_a'
% 0.40/1.06     ) ), 'v_m' ) ] )
% 0.40/1.06  , clause( 50, [ =( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 
% 0.40/1.06    't_a' ) ), 'v_m' ) ] )
% 0.40/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  eqswap(
% 0.40/1.06  clause( 53, [ ~( =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ) ) ] )
% 0.40/1.06  , clause( 44, [ ~( =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ) ) ] )
% 0.40/1.06  , 0, substitution( 0, [] )).
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  subsumption(
% 0.40/1.06  clause( 6, [ ~( =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ) ) ] )
% 0.40/1.06  , clause( 53, [ ~( =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ) ) ] )
% 0.40/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  paramod(
% 0.40/1.06  clause( 55, [ 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ), 
% 0.40/1.06    ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' )
% 0.40/1.06     ) ) ) ] )
% 0.40/1.06  , clause( 5, [ =( 'c_Union'( 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 
% 0.40/1.06    't_a' ) ), 'v_m' ) ] )
% 0.40/1.06  , 0, clause( 0, [ ~( 'c_in'( X, Y, 'tc_set'( Z ) ) ), 'c_lessequals'( X, 
% 0.40/1.06    'c_Union'( Y, Z ), 'tc_set'( Z ) ) ] )
% 0.40/1.06  , 1, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, 
% 0.40/1.06    'c_Zorn_OTFin'( 'v_S', 't_a' ) ), :=( Z, 'tc_set'( 't_a' ) )] )).
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  subsumption(
% 0.40/1.06  clause( 8, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 
% 0.40/1.06    'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'( 
% 0.40/1.06    't_a' ) ) ) ] )
% 0.40/1.06  , clause( 55, [ 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ), 
% 0.40/1.06    ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' )
% 0.40/1.06     ) ) ) ] )
% 0.40/1.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 
% 0.40/1.06    0 )] ) ).
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  resolution(
% 0.40/1.06  clause( 56, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), X, 'tc_set'( 
% 0.40/1.06    'tc_set'( Z ) ) ) ), =( 'c_Zorn_Osucc'( Y, X, Z ), X ) ] )
% 0.40/1.06  , clause( 1, [ ~( 'c_lessequals'( X, Y, 'tc_set'( Z ) ) ), ~( 
% 0.40/1.06    'c_lessequals'( Y, X, 'tc_set'( Z ) ) ), =( Y, X ) ] )
% 0.40/1.06  , 0, clause( 2, [ 'c_lessequals'( X, 'c_Zorn_Osucc'( Y, X, Z ), 'tc_set'( 
% 0.40/1.06    'tc_set'( Z ) ) ) ] )
% 0.40/1.06  , 0, substitution( 0, [ :=( X, X ), :=( Y, 'c_Zorn_Osucc'( Y, X, Z ) ), 
% 0.40/1.06    :=( Z, 'tc_set'( Z ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), 
% 0.40/1.06    :=( Z, Z )] )).
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  subsumption(
% 0.40/1.06  clause( 10, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( X, Y, Z ), Y, 'tc_set'( 
% 0.40/1.06    'tc_set'( Z ) ) ) ), =( 'c_Zorn_Osucc'( X, Y, Z ), Y ) ] )
% 0.40/1.06  , clause( 56, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( Y, X, Z ), X, 'tc_set'( 
% 0.40/1.06    'tc_set'( Z ) ) ) ), =( 'c_Zorn_Osucc'( Y, X, Z ), X ) ] )
% 0.40/1.06  , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ), 
% 0.40/1.06    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  eqswap(
% 0.40/1.06  clause( 58, [ =( Y, 'c_Zorn_Osucc'( X, Y, Z ) ), ~( 'c_lessequals'( 
% 0.40/1.06    'c_Zorn_Osucc'( X, Y, Z ), Y, 'tc_set'( 'tc_set'( Z ) ) ) ) ] )
% 0.40/1.06  , clause( 10, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( X, Y, Z ), Y, 'tc_set'( 
% 0.40/1.06    'tc_set'( Z ) ) ) ), =( 'c_Zorn_Osucc'( X, Y, Z ), Y ) ] )
% 0.40/1.06  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  eqswap(
% 0.40/1.06  clause( 59, [ ~( =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ) ) ] )
% 0.40/1.06  , clause( 6, [ ~( =( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'v_m' ) ) ] )
% 0.40/1.06  , 0, substitution( 0, [] )).
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  resolution(
% 0.40/1.06  clause( 60, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 
% 0.40/1.06    'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.40/1.06  , clause( 59, [ ~( =( 'v_m', 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ) ) ) ] )
% 0.40/1.06  , 0, clause( 58, [ =( Y, 'c_Zorn_Osucc'( X, Y, Z ) ), ~( 'c_lessequals'( 
% 0.40/1.06    'c_Zorn_Osucc'( X, Y, Z ), Y, 'tc_set'( 'tc_set'( Z ) ) ) ) ] )
% 0.40/1.06  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_S' ), :=( Y, 'v_m'
% 0.40/1.06     ), :=( Z, 't_a' )] )).
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  subsumption(
% 0.40/1.06  clause( 31, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 
% 0.40/1.06    'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.40/1.06  , clause( 60, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 
% 0.40/1.06    'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.40/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  resolution(
% 0.40/1.06  clause( 61, [ ~( 'c_in'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 
% 0.40/1.06    'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.40/1.06  , clause( 31, [ ~( 'c_lessequals'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 
% 0.40/1.06    'v_m', 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.40/1.06  , 0, clause( 8, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 
% 0.40/1.06    'tc_set'( 't_a' ) ) ) ), 'c_lessequals'( X, 'v_m', 'tc_set'( 'tc_set'( 
% 0.40/1.06    't_a' ) ) ) ] )
% 0.40/1.06  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'c_Zorn_Osucc'( 'v_S'
% 0.40/1.06    , 'v_m', 't_a' ) )] )).
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  subsumption(
% 0.40/1.06  clause( 33, [ ~( 'c_in'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 
% 0.40/1.06    'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.40/1.06  , clause( 61, [ ~( 'c_in'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 
% 0.40/1.06    'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.40/1.06  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  resolution(
% 0.40/1.06  clause( 62, [ 'c_in'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 'c_Zorn_OTFin'( 
% 0.40/1.06    'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.40/1.06  , clause( 3, [ ~( 'c_in'( X, 'c_Zorn_OTFin'( Y, Z ), 'tc_set'( 'tc_set'( Z
% 0.40/1.06     ) ) ) ), 'c_in'( 'c_Zorn_Osucc'( Y, X, Z ), 'c_Zorn_OTFin'( Y, Z ), 
% 0.40/1.06    'tc_set'( 'tc_set'( Z ) ) ) ] )
% 0.40/1.06  , 0, clause( 4, [ 'c_in'( 'v_m', 'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 
% 0.40/1.06    'tc_set'( 't_a' ) ) ) ] )
% 0.40/1.06  , 0, substitution( 0, [ :=( X, 'v_m' ), :=( Y, 'v_S' ), :=( Z, 't_a' )] ), 
% 0.40/1.06    substitution( 1, [] )).
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  resolution(
% 0.40/1.06  clause( 63, [] )
% 0.40/1.06  , clause( 33, [ ~( 'c_in'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 
% 0.40/1.06    'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ) ] )
% 0.40/1.06  , 0, clause( 62, [ 'c_in'( 'c_Zorn_Osucc'( 'v_S', 'v_m', 't_a' ), 
% 0.40/1.06    'c_Zorn_OTFin'( 'v_S', 't_a' ), 'tc_set'( 'tc_set'( 't_a' ) ) ) ] )
% 0.40/1.06  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  subsumption(
% 0.40/1.06  clause( 36, [] )
% 0.40/1.06  , clause( 63, [] )
% 0.40/1.06  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  end.
% 0.40/1.06  
% 0.40/1.06  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.40/1.06  
% 0.40/1.06  Memory use:
% 0.40/1.06  
% 0.40/1.06  space for terms:        858
% 0.40/1.06  space for clauses:      3182
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  clauses generated:      171
% 0.40/1.06  clauses kept:           37
% 0.40/1.06  clauses selected:       11
% 0.40/1.06  clauses deleted:        0
% 0.40/1.06  clauses inuse deleted:  0
% 0.40/1.06  
% 0.40/1.06  subsentry:          121
% 0.40/1.06  literals s-matched: 101
% 0.40/1.06  literals matched:   101
% 0.40/1.06  full subsumption:   47
% 0.40/1.06  
% 0.40/1.06  checksum:           -675744307
% 0.40/1.06  
% 0.40/1.06  
% 0.40/1.06  Bliksem ended
%------------------------------------------------------------------------------