TSTP Solution File: LAT274-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : LAT274-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n029.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 : Sun Jul 17 03:49:55 EDT 2022

% Result   : Unsatisfiable 107.25s 107.63s
% Output   : Refutation 107.25s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LAT274-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n029.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 : Thu Jun 30 05:46:23 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 107.25/107.63  *** allocated 10000 integers for termspace/termends
% 107.25/107.63  *** allocated 10000 integers for clauses
% 107.25/107.63  *** allocated 10000 integers for justifications
% 107.25/107.63  Bliksem 1.12
% 107.25/107.63  
% 107.25/107.63  
% 107.25/107.63  Automatic Strategy Selection
% 107.25/107.63  
% 107.25/107.63  Clauses:
% 107.25/107.63  [
% 107.25/107.63     [ ~( 'c_lessequals'( X, Y, 'tc_set'( 't_a' ) ) ), 'c_in'( 'c_Pair'( Z, T
% 107.25/107.63    , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 
% 107.25/107.63    'v_sko__4mj'( X, Z, 'v_r' ), X, 't_a' ), 'c_in'( 'v_sko__4mk'( T, X, 
% 107.25/107.63    'v_r' ), X, 't_a' ), =( X, 'c_emptyset' ) ],
% 107.25/107.63     [ ~( 'c_in'( 'c_Pair'( 'v_sko__4mk'( X, Y, 'v_r' ), X, 't_a', 't_a' ), 
% 107.25/107.63    'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_set'( 
% 107.25/107.63    't_a' ) ) ), 'c_in'( 'c_Pair'( T, X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 
% 107.25/107.63    't_a', 't_a' ) ), 'c_in'( 'v_sko__4mj'( Y, T, 'v_r' ), Y, 't_a' ), =( Y, 
% 107.25/107.63    'c_emptyset' ) ],
% 107.25/107.63     [ ~( 'c_in'( 'c_Pair'( X, 'v_sko__4mj'( Y, X, 'v_r' ), 't_a', 't_a' ), 
% 107.25/107.63    'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_set'( 
% 107.25/107.63    't_a' ) ) ), 'c_in'( 'c_Pair'( X, T, 't_a', 't_a' ), 'v_r', 'tc_prod'( 
% 107.25/107.63    't_a', 't_a' ) ), 'c_in'( 'v_sko__4mk'( T, Y, 'v_r' ), Y, 't_a' ), =( Y, 
% 107.25/107.63    'c_emptyset' ) ],
% 107.25/107.63     [ ~( 'c_in'( 'c_Pair'( X, 'v_sko__4mj'( Y, X, 'v_r' ), 't_a', 't_a' ), 
% 107.25/107.63    'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( 'v_sko__4mk'( 
% 107.25/107.63    Z, Y, 'v_r' ), Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), 
% 107.25/107.63    ~( 'c_lessequals'( Y, T, 'tc_set'( 't_a' ) ) ), 'c_in'( 'c_Pair'( X, Z, 
% 107.25/107.63    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), =( Y, 'c_emptyset' )
% 107.25/107.63     ],
% 107.25/107.63     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, 'c_Tarski_Ointerval'( T
% 107.25/107.63    , U, W, Z ), 'tc_set'( Z ) ) ), 'c_in'( 'c_Pair'( U, X, Z, Z ), T, 
% 107.25/107.63    'tc_prod'( Z, Z ) ) ],
% 107.25/107.63     [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, 'c_Tarski_Ointerval'( T
% 107.25/107.63    , U, W, Z ), 'tc_set'( Z ) ) ), 'c_in'( 'c_Pair'( X, W, Z, Z ), T, 
% 107.25/107.63    'tc_prod'( Z, Z ) ) ],
% 107.25/107.63     [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 
% 107.25/107.63    'c_Pair'( U, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'( X, 
% 107.25/107.63    'c_Tarski_Ointerval'( T, U, Y, Z ), Z ) ],
% 107.25/107.63     [ ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ), ~( 'c_in'( Z, X, 't_a'
% 107.25/107.63     ) ), 'c_in'( 'c_Pair'( Z, Y, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 
% 107.25/107.63    't_a' ) ) ],
% 107.25/107.63     [ ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ), ~( 'c_in'( Z, 'v_A', 
% 107.25/107.63    't_a' ) ), 'c_in'( 'c_Pair'( Y, Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 
% 107.25/107.63    't_a', 't_a' ) ), 'c_in'( 'v_sko__4mi'( X, 'v_r', Z ), X, 't_a' ) ],
% 107.25/107.63     [ ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ), ~( 'c_in'( Z, 'v_A', 
% 107.25/107.63    't_a' ) ), ~( 'c_in'( 'c_Pair'( 'v_sko__4mi'( X, 'v_r', Z ), Z, 't_a', 
% 107.25/107.63    't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( Y, Z, 
% 107.25/107.63    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ],
% 107.25/107.63     [ 'c_in'( 'v_b', 'v_A', 't_a' ) ],
% 107.25/107.63     [ 'c_lessequals'( 'v_S', 'c_Tarski_Ointerval'( 'v_r', 'v_a', 'v_b', 
% 107.25/107.63    't_a' ), 'tc_set'( 't_a' ) ) ],
% 107.25/107.63     [ ~( =( 'v_S', 'c_emptyset' ) ) ],
% 107.25/107.63     [ 'c_Tarski_OisLub'( 'v_S', 'v_cl', 'v_L', 't_a' ) ],
% 107.25/107.63     [ ~( 'c_in'( 'v_L', 'c_Tarski_Ointerval'( 'v_r', 'v_a', 'v_b', 't_a' ), 
% 107.25/107.63    't_a' ) ) ]
% 107.25/107.63  ] .
% 107.25/107.63  
% 107.25/107.63  
% 107.25/107.63  percentage equality = 0.111111, percentage horn = 0.666667
% 107.25/107.63  This is a problem with some equality
% 107.25/107.63  
% 107.25/107.63  
% 107.25/107.63  
% 107.25/107.63  Options Used:
% 107.25/107.63  
% 107.25/107.63  useres =            1
% 107.25/107.63  useparamod =        1
% 107.25/107.63  useeqrefl =         1
% 107.25/107.63  useeqfact =         1
% 107.25/107.63  usefactor =         1
% 107.25/107.63  usesimpsplitting =  0
% 107.25/107.63  usesimpdemod =      5
% 107.25/107.63  usesimpres =        3
% 107.25/107.63  
% 107.25/107.63  resimpinuse      =  1000
% 107.25/107.63  resimpclauses =     20000
% 107.25/107.63  substype =          eqrewr
% 107.25/107.63  backwardsubs =      1
% 107.25/107.63  selectoldest =      5
% 107.25/107.63  
% 107.25/107.63  litorderings [0] =  split
% 107.25/107.63  litorderings [1] =  extend the termordering, first sorting on arguments
% 107.25/107.63  
% 107.25/107.63  termordering =      kbo
% 107.25/107.63  
% 107.25/107.63  litapriori =        0
% 107.25/107.63  termapriori =       1
% 107.25/107.63  litaposteriori =    0
% 107.25/107.63  termaposteriori =   0
% 107.25/107.63  demodaposteriori =  0
% 107.25/107.63  ordereqreflfact =   0
% 107.25/107.63  
% 107.25/107.63  litselect =         negord
% 107.25/107.63  
% 107.25/107.63  maxweight =         15
% 107.25/107.63  maxdepth =          30000
% 107.25/107.63  maxlength =         115
% 107.25/107.63  maxnrvars =         195
% 107.25/107.63  excuselevel =       1
% 107.25/107.63  increasemaxweight = 1
% 107.25/107.63  
% 107.25/107.63  maxselected =       10000000
% 107.25/107.63  maxnrclauses =      10000000
% 107.25/107.63  
% 107.25/107.63  showgenerated =    0
% 107.25/107.63  showkept =         0
% 107.25/107.63  showselected =     0
% 107.25/107.63  showdeleted =      0
% 107.25/107.63  showresimp =       1
% 107.25/107.63  showstatus =       2000
% 107.25/107.63  
% 107.25/107.63  prologoutput =     1
% 107.25/107.63  nrgoals =          5000000
% 107.25/107.63  totalproof =       1
% 107.25/107.63  
% 107.25/107.63  Symbols occurring in the translation:
% 107.25/107.63  
% 107.25/107.63  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 107.25/107.63  .  [1, 2]      (w:1, o:34, a:1, s:1, b:0), 
% 107.25/107.63  !  [4, 1]      (w:0, o:28, a:1, s:1, b:0), 
% 107.25/107.63  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 107.25/107.63  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 107.25/107.63  't_a'  [41, 0]      (w:1, o:11, a:1, s:1, b:0), 
% 107.25/107.63  'tc_set'  [42, 1]      (w:1, o:33, a:1, s:1, b:0), 
% 107.25/107.63  'c_lessequals'  [43, 3]      (w:1, o:60, a:1, s:1, b:0), 
% 107.25/107.63  'c_Pair'  [46, 4]      (w:1, o:65, a:1, s:1, b:0), 
% 107.25/107.63  'v_r'  [47, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 107.25/107.63  'tc_prod'  [48, 2]      (w:1, o:59, a:1, s:1, b:0), 
% 107.25/107.63  'c_in'  [49, 3]      (w:1, o:61, a:1, s:1, b:0), 
% 107.25/107.63  'v_sko__4mj'  [50, 3]      (w:1, o:63, a:1, s:1, b:0), 
% 107.25/107.63  'v_sko__4mk'  [51, 3]      (w:1, o:64, a:1, s:1, b:0), 
% 107.25/107.63  'c_emptyset'  [52, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 107.25/107.63  'c_Tarski_Ointerval'  [57, 4]      (w:1, o:66, a:1, s:1, b:0), 
% 107.25/107.63  'v_cl'  [58, 0]      (w:1, o:22, a:1, s:1, b:0), 
% 107.25/107.63  'c_Tarski_OisLub'  [59, 4]      (w:1, o:67, a:1, s:1, b:0), 
% 107.25/107.63  'v_A'  [62, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 107.25/107.63  'v_sko__4mi'  [63, 3]      (w:1, o:62, a:1, s:1, b:0), 
% 107.25/107.63  'v_b'  [64, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 107.25/107.63  'v_S'  [65, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 107.25/107.63  'v_a'  [66, 0]      (w:1, o:20, a:1, s:1, b:0), 
% 107.25/107.63  'v_L'  [67, 0]      (w:1, o:27, a:1, s:1, b:0).
% 107.25/107.63  
% 107.25/107.63  
% 107.25/107.63  Starting Search:
% 107.25/107.63  
% 107.25/107.63  Resimplifying inuse:
% 107.25/107.63  Done
% 107.25/107.63  
% 107.25/107.63  Failed to find proof!
% 107.25/107.63  maxweight =   15
% 107.25/107.63  maxnrclauses = 10000000
% 107.25/107.63  Generated: 4831607
% 107.25/107.63  Kept: 503
% 107.25/107.63  
% 107.25/107.63  
% 107.25/107.63  The strategy used was not complete!
% 107.25/107.63  
% 107.25/107.63  Increased maxweight to 16
% 107.25/107.63  
% 107.25/107.63  Starting Search:
% 107.25/107.63  
% 107.25/107.63  Resimplifying inuse:
% 107.25/107.63  Done
% 107.25/107.63  
% 107.25/107.63  Failed to find proof!
% 107.25/107.63  maxweight =   16
% 107.25/107.63  maxnrclauses = 10000000
% 107.25/107.63  Generated: 4834125
% 107.25/107.63  Kept: 504
% 107.25/107.63  
% 107.25/107.63  
% 107.25/107.63  The strategy used was not complete!
% 107.25/107.63  
% 107.25/107.63  Increased maxweight to 17
% 107.25/107.63  
% 107.25/107.63  Starting Search:
% 107.25/107.63  
% 107.25/107.63  Resimplifying inuse:
% 107.25/107.63  Done
% 107.25/107.63  
% 107.25/107.63  Failed to find proof!
% 107.25/107.63  maxweight =   17
% 107.25/107.63  maxnrclauses = 10000000
% 107.25/107.63  Generated: 4903729
% 107.25/107.63  Kept: 533
% 107.25/107.63  
% 107.25/107.63  
% 107.25/107.63  The strategy used was not complete!
% 107.25/107.63  
% 107.25/107.63  Increased maxweight to 18
% 107.25/107.63  
% 107.25/107.63  Starting Search:
% 107.25/107.63  
% 107.25/107.63  Resimplifying inuse:
% 107.25/107.63  Done
% 107.25/107.63  
% 107.25/107.63  Failed to find proof!
% 107.25/107.63  maxweight =   18
% 107.25/107.63  maxnrclauses = 10000000
% 107.25/107.63  Generated: 4936155
% 107.25/107.63  Kept: 543
% 107.25/107.63  
% 107.25/107.63  
% 107.25/107.63  The strategy used was not complete!
% 107.25/107.63  
% 107.25/107.63  Increased maxweight to 19
% 107.25/107.63  
% 107.25/107.63  Starting Search:
% 107.25/107.63  
% 107.25/107.63  Resimplifying inuse:
% 107.25/107.63  Done
% 107.25/107.63  
% 107.25/107.63  Failed to find proof!
% 107.25/107.63  maxweight =   19
% 107.25/107.63  maxnrclauses = 10000000
% 107.25/107.63  Generated: 4979933
% 107.25/107.63  Kept: 553
% 107.25/107.63  
% 107.25/107.63  
% 107.25/107.63  The strategy used was not complete!
% 107.25/107.63  
% 107.25/107.63  Increased maxweight to 20
% 107.25/107.63  
% 107.25/107.63  Starting Search:
% 107.25/107.63  
% 107.25/107.63  
% 107.25/107.63  Bliksems!, er is een bewijs:
% 107.25/107.63  % SZS status Unsatisfiable
% 107.25/107.63  % SZS output start Refutation
% 107.25/107.63  
% 107.25/107.63  clause( 0, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.25/107.63    'c_Pair'( Z, T, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), 
% 107.25/107.63    'c_in'( 'v_sko__4mj'( X, Z, 'v_r' ), X, 't_a' ), 'c_in'( 'v_sko__4mk'( T
% 107.25/107.63    , X, 'v_r' ), X, 't_a' ), =( X, 'c_emptyset' ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 1, [ ~( 'c_in'( 'c_Pair'( 'v_sko__4mk'( X, Y, 'v_r' ), X, 't_a', 
% 107.25/107.63    't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_lessequals'( Y, Z, 
% 107.25/107.63    'tc_set'( 't_a' ) ) ), 'c_in'( 'c_Pair'( T, X, 't_a', 't_a' ), 'v_r', 
% 107.25/107.63    'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mj'( Y, T, 'v_r' ), Y, 
% 107.25/107.63    't_a' ), =( Y, 'c_emptyset' ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 2, [ ~( 'c_in'( 'c_Pair'( X, 'v_sko__4mj'( Y, X, 'v_r' ), 't_a', 
% 107.25/107.63    't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_lessequals'( Y, Z, 
% 107.25/107.63    'tc_set'( 't_a' ) ) ), 'c_in'( 'c_Pair'( X, T, 't_a', 't_a' ), 'v_r', 
% 107.25/107.63    'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mk'( T, Y, 'v_r' ), Y, 
% 107.25/107.63    't_a' ), =( Y, 'c_emptyset' ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 3, [ ~( 'c_in'( 'c_Pair'( X, 'v_sko__4mj'( Y, X, 'v_r' ), 't_a', 
% 107.25/107.63    't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( 
% 107.25/107.63    'v_sko__4mk'( Z, Y, 'v_r' ), Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 
% 107.25/107.63    't_a' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.25/107.63    'c_Pair'( X, Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), =( Y
% 107.25/107.63    , 'c_emptyset' ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 4, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, 
% 107.25/107.63    'c_Tarski_Ointerval'( T, U, W, Z ), 'tc_set'( Z ) ) ), 'c_in'( 'c_Pair'( 
% 107.25/107.63    U, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 5, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, 
% 107.25/107.63    'c_Tarski_Ointerval'( T, U, W, Z ), 'tc_set'( Z ) ) ), 'c_in'( 'c_Pair'( 
% 107.25/107.63    X, W, Z, Z ), T, 'tc_prod'( Z, Z ) ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 6, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 
% 107.25/107.63    ~( 'c_in'( 'c_Pair'( U, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'( X, 
% 107.25/107.63    'c_Tarski_Ointerval'( T, U, Y, Z ), Z ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 7, [ ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ), ~( 'c_in'( Z, X
% 107.25/107.63    , 't_a' ) ), 'c_in'( 'c_Pair'( Z, Y, 't_a', 't_a' ), 'v_r', 'tc_prod'( 
% 107.25/107.63    't_a', 't_a' ) ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 8, [ ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ), ~( 'c_in'( Z, 
% 107.25/107.63    'v_A', 't_a' ) ), 'c_in'( 'c_Pair'( Y, Z, 't_a', 't_a' ), 'v_r', 
% 107.25/107.63    'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mi'( X, 'v_r', Z ), X, 
% 107.25/107.63    't_a' ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 9, [ ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ), ~( 'c_in'( Z, 
% 107.25/107.63    'v_A', 't_a' ) ), ~( 'c_in'( 'c_Pair'( 'v_sko__4mi'( X, 'v_r', Z ), Z, 
% 107.25/107.63    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( Y
% 107.25/107.63    , Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 10, [ 'c_in'( 'v_b', 'v_A', 't_a' ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 11, [ 'c_lessequals'( 'v_S', 'c_Tarski_Ointerval'( 'v_r', 'v_a', 
% 107.25/107.63    'v_b', 't_a' ), 'tc_set'( 't_a' ) ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 12, [ ~( =( 'v_S', 'c_emptyset' ) ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 13, [ 'c_Tarski_OisLub'( 'v_S', 'v_cl', 'v_L', 't_a' ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 14, [ ~( 'c_in'( 'v_L', 'c_Tarski_Ointerval'( 'v_r', 'v_a', 'v_b', 
% 107.25/107.63    't_a' ), 't_a' ) ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 45, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.25/107.63    'c_Pair'( Y, Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), 
% 107.25/107.63    'c_in'( 'v_sko__4mj'( 'v_S', Y, 'v_r' ), 'v_S', 't_a' ), 'c_in'( 
% 107.25/107.63    'v_sko__4mk'( Z, 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 49, [ ~( 'c_in'( X, 'v_S', 't_a' ) ), 'c_in'( 'c_Pair'( X, 'v_L', 
% 107.25/107.63    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 112, [ ~( 'c_in'( 'c_Pair'( 'v_sko__4mk'( X, 'v_S', 'v_r' ), X, 
% 107.25/107.63    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_lessequals'( 
% 107.25/107.63    'v_S', Y, 'tc_set'( 't_a' ) ) ), 'c_in'( 'c_Pair'( Z, X, 't_a', 't_a' ), 
% 107.25/107.63    'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mj'( 'v_S', Z, 'v_r'
% 107.25/107.63     ), 'v_S', 't_a' ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 122, [ ~( 'c_in'( X, 'v_S', 't_a' ) ), 'c_in'( 'c_Pair'( X, 'v_b', 
% 107.25/107.63    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 213, [ ~( 'c_in'( 'c_Pair'( X, 'v_sko__4mj'( 'v_S', X, 'v_r' ), 
% 107.25/107.63    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_lessequals'( 
% 107.25/107.63    'v_S', Y, 'tc_set'( 't_a' ) ) ), 'c_in'( 'c_Pair'( X, Z, 't_a', 't_a' ), 
% 107.25/107.63    'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mk'( Z, 'v_S', 'v_r'
% 107.25/107.63     ), 'v_S', 't_a' ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 324, [ ~( 'c_in'( 'c_Pair'( X, 'v_sko__4mj'( 'v_S', X, 'v_r' ), 
% 107.25/107.63    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( 
% 107.25/107.63    'v_sko__4mk'( Y, 'v_S', 'v_r' ), Y, 't_a', 't_a' ), 'v_r', 'tc_prod'( 
% 107.25/107.63    't_a', 't_a' ) ) ), ~( 'c_lessequals'( 'v_S', Z, 'tc_set'( 't_a' ) ) ), 
% 107.25/107.63    'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' )
% 107.25/107.63     ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 341, [ ~( 'c_in'( X, 'v_S', 't_a' ) ), 'c_in'( 'c_Pair'( 'v_a', X, 
% 107.25/107.63    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 380, [ ~( 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r', 
% 107.25/107.63    'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( 'v_a', 'v_L', 't_a', 
% 107.25/107.63    't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 423, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), 'c_in'( 'c_Pair'( 'v_L', X, 
% 107.25/107.63    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mi'( 
% 107.25/107.63    'v_S', 'v_r', X ), 'v_S', 't_a' ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 479, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), ~( 'c_in'( 'c_Pair'( 
% 107.25/107.63    'v_sko__4mi'( 'v_S', 'v_r', X ), X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 
% 107.25/107.63    't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( 'v_L', X, 't_a', 't_a' ), 'v_r', 
% 107.25/107.63    'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 520, [ 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r', 
% 107.25/107.63    'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mi'( 'v_S', 'v_r', 'v_b' )
% 107.25/107.63    , 'v_S', 't_a' ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 524, [ 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r', 
% 107.25/107.63    'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'v_sko__4mi'( 'v_S', 'v_r', 'v_b'
% 107.25/107.63     ), 'v_S', 't_a' ) ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 527, [ 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r', 
% 107.25/107.63    'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 531, [ ~( 'c_in'( 'c_Pair'( 'v_a', 'v_L', 't_a', 't_a' ), 'v_r', 
% 107.25/107.63    'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 554, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.25/107.63    'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 't_a' ), 'c_in'( 'v_sko__4mk'( 
% 107.25/107.63    'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 555, [ 'c_in'( 'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 't_a' )
% 107.25/107.63    , 'c_in'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 558, [ 'c_in'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' )
% 107.25/107.63    , 'c_in'( 'c_Pair'( 'v_a', 'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 't_a', 
% 107.25/107.63    't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 563, [ 'c_in'( 'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 't_a' )
% 107.25/107.63    , 'c_in'( 'c_Pair'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_L', 't_a', 
% 107.25/107.63    't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 564, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.25/107.63    'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 569, [ 'c_in'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' )
% 107.25/107.63     ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 574, [ 'c_in'( 'c_Pair'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_L'
% 107.25/107.63    , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 588, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.25/107.63    'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 593, [ 'c_in'( 'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 't_a' )
% 107.25/107.63     ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 597, [ 'c_in'( 'c_Pair'( 'v_a', 'v_sko__4mj'( 'v_S', 'v_a', 'v_r' )
% 107.25/107.63    , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 618, [ ~( 'c_in'( 'c_Pair'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 
% 107.25/107.63    'v_L', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 
% 107.25/107.63    'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 619, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ) ] )
% 107.25/107.63  .
% 107.25/107.63  clause( 620, [] )
% 107.25/107.63  .
% 107.25/107.63  
% 107.25/107.63  
% 107.25/107.63  % SZS output end Refutation
% 107.25/107.63  found a proof!
% 107.25/107.63  
% 107.25/107.63  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 107.25/107.63  
% 107.25/107.63  initialclauses(
% 107.25/107.63  [ clause( 622, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.25/107.63    'c_Pair'( Z, T, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), 
% 107.25/107.63    'c_in'( 'v_sko__4mj'( X, Z, 'v_r' ), X, 't_a' ), 'c_in'( 'v_sko__4mk'( T
% 107.25/107.63    , X, 'v_r' ), X, 't_a' ), =( X, 'c_emptyset' ) ] )
% 107.25/107.63  , clause( 623, [ ~( 'c_in'( 'c_Pair'( 'v_sko__4mk'( X, Y, 'v_r' ), X, 't_a'
% 107.25/107.63    , 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_lessequals'( Y, Z
% 107.25/107.63    , 'tc_set'( 't_a' ) ) ), 'c_in'( 'c_Pair'( T, X, 't_a', 't_a' ), 'v_r', 
% 107.25/107.63    'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mj'( Y, T, 'v_r' ), Y, 
% 107.25/107.63    't_a' ), =( Y, 'c_emptyset' ) ] )
% 107.25/107.63  , clause( 624, [ ~( 'c_in'( 'c_Pair'( X, 'v_sko__4mj'( Y, X, 'v_r' ), 't_a'
% 107.25/107.63    , 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_lessequals'( Y, Z
% 107.25/107.63    , 'tc_set'( 't_a' ) ) ), 'c_in'( 'c_Pair'( X, T, 't_a', 't_a' ), 'v_r', 
% 107.25/107.63    'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mk'( T, Y, 'v_r' ), Y, 
% 107.25/107.63    't_a' ), =( Y, 'c_emptyset' ) ] )
% 107.25/107.63  , clause( 625, [ ~( 'c_in'( 'c_Pair'( X, 'v_sko__4mj'( Y, X, 'v_r' ), 't_a'
% 107.25/107.63    , 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( 
% 107.25/107.63    'v_sko__4mk'( Z, Y, 'v_r' ), Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 
% 107.25/107.63    't_a' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.25/107.63    'c_Pair'( X, Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), =( Y
% 107.25/107.63    , 'c_emptyset' ) ] )
% 107.25/107.63  , clause( 626, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, 
% 107.25/107.63    'c_Tarski_Ointerval'( T, U, W, Z ), 'tc_set'( Z ) ) ), 'c_in'( 'c_Pair'( 
% 107.25/107.63    U, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ] )
% 107.25/107.63  , clause( 627, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, 
% 107.25/107.63    'c_Tarski_Ointerval'( T, U, W, Z ), 'tc_set'( Z ) ) ), 'c_in'( 'c_Pair'( 
% 107.25/107.63    X, W, Z, Z ), T, 'tc_prod'( Z, Z ) ) ] )
% 107.25/107.63  , clause( 628, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) )
% 107.25/107.63     ), ~( 'c_in'( 'c_Pair'( U, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'( 
% 107.25/107.63    X, 'c_Tarski_Ointerval'( T, U, Y, Z ), Z ) ] )
% 107.25/107.63  , clause( 629, [ ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ), ~( 'c_in'( 
% 107.25/107.63    Z, X, 't_a' ) ), 'c_in'( 'c_Pair'( Z, Y, 't_a', 't_a' ), 'v_r', 'tc_prod'( 
% 107.25/107.63    't_a', 't_a' ) ) ] )
% 107.25/107.63  , clause( 630, [ ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ), ~( 'c_in'( 
% 107.25/107.63    Z, 'v_A', 't_a' ) ), 'c_in'( 'c_Pair'( Y, Z, 't_a', 't_a' ), 'v_r', 
% 107.25/107.63    'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mi'( X, 'v_r', Z ), X, 
% 107.25/107.63    't_a' ) ] )
% 107.25/107.63  , clause( 631, [ ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ), ~( 'c_in'( 
% 107.25/107.63    Z, 'v_A', 't_a' ) ), ~( 'c_in'( 'c_Pair'( 'v_sko__4mi'( X, 'v_r', Z ), Z
% 107.25/107.63    , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( 
% 107.25/107.63    Y, Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.25/107.63  , clause( 632, [ 'c_in'( 'v_b', 'v_A', 't_a' ) ] )
% 107.25/107.63  , clause( 633, [ 'c_lessequals'( 'v_S', 'c_Tarski_Ointerval'( 'v_r', 'v_a'
% 107.25/107.63    , 'v_b', 't_a' ), 'tc_set'( 't_a' ) ) ] )
% 107.25/107.63  , clause( 634, [ ~( =( 'v_S', 'c_emptyset' ) ) ] )
% 107.25/107.63  , clause( 635, [ 'c_Tarski_OisLub'( 'v_S', 'v_cl', 'v_L', 't_a' ) ] )
% 107.25/107.63  , clause( 636, [ ~( 'c_in'( 'v_L', 'c_Tarski_Ointerval'( 'v_r', 'v_a', 
% 107.25/107.63    'v_b', 't_a' ), 't_a' ) ) ] )
% 107.25/107.63  ] ).
% 107.25/107.63  
% 107.25/107.63  
% 107.25/107.63  
% 107.25/107.63  subsumption(
% 107.25/107.63  clause( 0, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.25/107.63    'c_Pair'( Z, T, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), 
% 107.25/107.63    'c_in'( 'v_sko__4mj'( X, Z, 'v_r' ), X, 't_a' ), 'c_in'( 'v_sko__4mk'( T
% 107.25/107.63    , X, 'v_r' ), X, 't_a' ), =( X, 'c_emptyset' ) ] )
% 107.25/107.63  , clause( 622, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.25/107.63    'c_Pair'( Z, T, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), 
% 107.25/107.63    'c_in'( 'v_sko__4mj'( X, Z, 'v_r' ), X, 't_a' ), 'c_in'( 'v_sko__4mk'( T
% 107.25/107.63    , X, 'v_r' ), X, 't_a' ), =( X, 'c_emptyset' ) ] )
% 107.25/107.63  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 107.25/107.63    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), 
% 107.25/107.63    ==>( 4, 4 )] ) ).
% 107.25/107.63  
% 107.25/107.63  
% 107.25/107.63  subsumption(
% 107.25/107.63  clause( 1, [ ~( 'c_in'( 'c_Pair'( 'v_sko__4mk'( X, Y, 'v_r' ), X, 't_a', 
% 107.25/107.63    't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_lessequals'( Y, Z, 
% 107.25/107.63    'tc_set'( 't_a' ) ) ), 'c_in'( 'c_Pair'( T, X, 't_a', 't_a' ), 'v_r', 
% 107.25/107.63    'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mj'( Y, T, 'v_r' ), Y, 
% 107.25/107.63    't_a' ), =( Y, 'c_emptyset' ) ] )
% 107.25/107.63  , clause( 623, [ ~( 'c_in'( 'c_Pair'( 'v_sko__4mk'( X, Y, 'v_r' ), X, 't_a'
% 107.25/107.63    , 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_lessequals'( Y, Z
% 107.25/107.63    , 'tc_set'( 't_a' ) ) ), 'c_in'( 'c_Pair'( T, X, 't_a', 't_a' ), 'v_r', 
% 107.25/107.63    'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mj'( Y, T, 'v_r' ), Y, 
% 107.25/107.63    't_a' ), =( Y, 'c_emptyset' ) ] )
% 107.25/107.63  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 107.25/107.63    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), 
% 107.25/107.63    ==>( 4, 4 )] ) ).
% 107.25/107.63  
% 107.25/107.63  
% 107.25/107.63  subsumption(
% 107.25/107.63  clause( 2, [ ~( 'c_in'( 'c_Pair'( X, 'v_sko__4mj'( Y, X, 'v_r' ), 't_a', 
% 107.25/107.63    't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_lessequals'( Y, Z, 
% 107.25/107.63    'tc_set'( 't_a' ) ) ), 'c_in'( 'c_Pair'( X, T, 't_a', 't_a' ), 'v_r', 
% 107.25/107.63    'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mk'( T, Y, 'v_r' ), Y, 
% 107.25/107.63    't_a' ), =( Y, 'c_emptyset' ) ] )
% 107.25/107.63  , clause( 624, [ ~( 'c_in'( 'c_Pair'( X, 'v_sko__4mj'( Y, X, 'v_r' ), 't_a'
% 107.25/107.63    , 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_lessequals'( Y, Z
% 107.25/107.63    , 'tc_set'( 't_a' ) ) ), 'c_in'( 'c_Pair'( X, T, 't_a', 't_a' ), 'v_r', 
% 107.25/107.63    'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mk'( T, Y, 'v_r' ), Y, 
% 107.25/107.63    't_a' ), =( Y, 'c_emptyset' ) ] )
% 107.25/107.63  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 107.25/107.63    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), 
% 107.25/107.63    ==>( 4, 4 )] ) ).
% 107.25/107.63  
% 107.25/107.63  
% 107.25/107.63  subsumption(
% 107.25/107.63  clause( 3, [ ~( 'c_in'( 'c_Pair'( X, 'v_sko__4mj'( Y, X, 'v_r' ), 't_a', 
% 107.25/107.63    't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( 
% 107.25/107.63    'v_sko__4mk'( Z, Y, 'v_r' ), Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 
% 107.25/107.63    't_a' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.25/107.63    'c_Pair'( X, Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), =( Y
% 107.25/107.63    , 'c_emptyset' ) ] )
% 107.25/107.63  , clause( 625, [ ~( 'c_in'( 'c_Pair'( X, 'v_sko__4mj'( Y, X, 'v_r' ), 't_a'
% 107.25/107.63    , 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( 
% 107.25/107.63    'v_sko__4mk'( Z, Y, 'v_r' ), Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 
% 107.25/107.63    't_a' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.25/107.63    'c_Pair'( X, Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), =( Y
% 107.25/107.63    , 'c_emptyset' ) ] )
% 107.25/107.63  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 107.25/107.63    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), 
% 107.25/107.63    ==>( 4, 4 )] ) ).
% 107.25/107.63  
% 107.25/107.63  
% 107.25/107.63  subsumption(
% 107.25/107.63  clause( 4, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, 
% 107.25/107.63    'c_Tarski_Ointerval'( T, U, W, Z ), 'tc_set'( Z ) ) ), 'c_in'( 'c_Pair'( 
% 107.25/107.63    U, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ] )
% 107.25/107.63  , clause( 626, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, 
% 107.25/107.63    'c_Tarski_Ointerval'( T, U, W, Z ), 'tc_set'( Z ) ) ), 'c_in'( 'c_Pair'( 
% 107.25/107.63    U, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ] )
% 107.25/107.63  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 107.25/107.63    , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 107.25/107.63    , 2 )] ) ).
% 107.25/107.63  
% 107.25/107.63  
% 107.25/107.63  subsumption(
% 107.25/107.63  clause( 5, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, 
% 107.25/107.63    'c_Tarski_Ointerval'( T, U, W, Z ), 'tc_set'( Z ) ) ), 'c_in'( 'c_Pair'( 
% 107.25/107.63    X, W, Z, Z ), T, 'tc_prod'( Z, Z ) ) ] )
% 107.25/107.63  , clause( 627, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, 
% 107.25/107.63    'c_Tarski_Ointerval'( T, U, W, Z ), 'tc_set'( Z ) ) ), 'c_in'( 'c_Pair'( 
% 107.25/107.63    X, W, Z, Z ), T, 'tc_prod'( Z, Z ) ) ] )
% 107.25/107.63  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 107.25/107.63    , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 107.25/107.63    , 2 )] ) ).
% 107.25/107.63  
% 107.25/107.63  
% 107.25/107.63  subsumption(
% 107.25/107.63  clause( 6, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 
% 107.25/107.63    ~( 'c_in'( 'c_Pair'( U, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'( X, 
% 107.25/107.63    'c_Tarski_Ointerval'( T, U, Y, Z ), Z ) ] )
% 107.25/107.63  , clause( 628, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) )
% 107.25/107.63     ), ~( 'c_in'( 'c_Pair'( U, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'( 
% 107.25/107.63    X, 'c_Tarski_Ointerval'( T, U, Y, Z ), Z ) ] )
% 107.25/107.63  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 107.25/107.63    , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 107.25/107.63     ).
% 107.25/107.63  
% 107.25/107.63  
% 107.25/107.63  subsumption(
% 107.25/107.63  clause( 7, [ ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ), ~( 'c_in'( Z, X
% 107.25/107.63    , 't_a' ) ), 'c_in'( 'c_Pair'( Z, Y, 't_a', 't_a' ), 'v_r', 'tc_prod'( 
% 107.25/107.63    't_a', 't_a' ) ) ] )
% 107.25/107.63  , clause( 629, [ ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ), ~( 'c_in'( 
% 107.25/107.63    Z, X, 't_a' ) ), 'c_in'( 'c_Pair'( Z, Y, 't_a', 't_a' ), 'v_r', 'tc_prod'( 
% 107.25/107.63    't_a', 't_a' ) ) ] )
% 107.25/107.63  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 107.25/107.63    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 107.25/107.63  
% 107.25/107.63  
% 107.25/107.63  subsumption(
% 107.25/107.63  clause( 8, [ ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ), ~( 'c_in'( Z, 
% 107.25/107.63    'v_A', 't_a' ) ), 'c_in'( 'c_Pair'( Y, Z, 't_a', 't_a' ), 'v_r', 
% 107.25/107.63    'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mi'( X, 'v_r', Z ), X, 
% 107.25/107.63    't_a' ) ] )
% 107.25/107.63  , clause( 630, [ ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ), ~( 'c_in'( 
% 107.25/107.63    Z, 'v_A', 't_a' ) ), 'c_in'( 'c_Pair'( Y, Z, 't_a', 't_a' ), 'v_r', 
% 107.25/107.63    'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mi'( X, 'v_r', Z ), X, 
% 107.25/107.63    't_a' ) ] )
% 107.25/107.63  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 107.25/107.63    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 107.25/107.63     ).
% 107.25/107.63  
% 107.25/107.63  
% 107.25/107.63  subsumption(
% 107.25/107.63  clause( 9, [ ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ), ~( 'c_in'( Z, 
% 107.25/107.63    'v_A', 't_a' ) ), ~( 'c_in'( 'c_Pair'( 'v_sko__4mi'( X, 'v_r', Z ), Z, 
% 107.25/107.63    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( Y
% 107.25/107.63    , Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.25/107.63  , clause( 631, [ ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ), ~( 'c_in'( 
% 107.25/107.63    Z, 'v_A', 't_a' ) ), ~( 'c_in'( 'c_Pair'( 'v_sko__4mi'( X, 'v_r', Z ), Z
% 107.25/107.63    , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( 
% 107.25/107.63    Y, Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.25/107.63  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 107.25/107.63    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 107.25/107.63     ).
% 107.25/107.63  
% 107.25/107.63  
% 107.25/107.63  subsumption(
% 107.25/107.63  clause( 10, [ 'c_in'( 'v_b', 'v_A', 't_a' ) ] )
% 107.25/107.63  , clause( 632, [ 'c_in'( 'v_b', 'v_A', 't_a' ) ] )
% 107.25/107.63  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.25/107.63  
% 107.25/107.63  
% 107.25/107.63  subsumption(
% 107.25/107.63  clause( 11, [ 'c_lessequals'( 'v_S', 'c_Tarski_Ointerval'( 'v_r', 'v_a', 
% 107.25/107.63    'v_b', 't_a' ), 'tc_set'( 't_a' ) ) ] )
% 107.25/107.63  , clause( 633, [ 'c_lessequals'( 'v_S', 'c_Tarski_Ointerval'( 'v_r', 'v_a'
% 107.25/107.63    , 'v_b', 't_a' ), 'tc_set'( 't_a' ) ) ] )
% 107.25/107.63  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  subsumption(
% 107.28/107.64  clause( 12, [ ~( =( 'v_S', 'c_emptyset' ) ) ] )
% 107.28/107.64  , clause( 634, [ ~( =( 'v_S', 'c_emptyset' ) ) ] )
% 107.28/107.64  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  subsumption(
% 107.28/107.64  clause( 13, [ 'c_Tarski_OisLub'( 'v_S', 'v_cl', 'v_L', 't_a' ) ] )
% 107.28/107.64  , clause( 635, [ 'c_Tarski_OisLub'( 'v_S', 'v_cl', 'v_L', 't_a' ) ] )
% 107.28/107.64  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  subsumption(
% 107.28/107.64  clause( 14, [ ~( 'c_in'( 'v_L', 'c_Tarski_Ointerval'( 'v_r', 'v_a', 'v_b', 
% 107.28/107.64    't_a' ), 't_a' ) ) ] )
% 107.28/107.64  , clause( 636, [ ~( 'c_in'( 'v_L', 'c_Tarski_Ointerval'( 'v_r', 'v_a', 
% 107.28/107.64    'v_b', 't_a' ), 't_a' ) ) ] )
% 107.28/107.64  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  eqswap(
% 107.28/107.64  clause( 704, [ ~( =( 'c_emptyset', 'v_S' ) ) ] )
% 107.28/107.64  , clause( 12, [ ~( =( 'v_S', 'c_emptyset' ) ) ] )
% 107.28/107.64  , 0, substitution( 0, [] )).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  paramod(
% 107.28/107.64  clause( 708, [ ~( =( 'c_emptyset', 'c_emptyset' ) ), ~( 'c_lessequals'( 
% 107.28/107.64    'v_S', X, 'tc_set'( 't_a' ) ) ), 'c_in'( 'c_Pair'( Y, Z, 't_a', 't_a' ), 
% 107.28/107.64    'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mj'( 'v_S', Y, 'v_r'
% 107.28/107.64     ), 'v_S', 't_a' ), 'c_in'( 'v_sko__4mk'( Z, 'v_S', 'v_r' ), 'v_S', 't_a'
% 107.28/107.64     ) ] )
% 107.28/107.64  , clause( 0, [ ~( 'c_lessequals'( X, Y, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.28/107.64    'c_Pair'( Z, T, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), 
% 107.28/107.64    'c_in'( 'v_sko__4mj'( X, Z, 'v_r' ), X, 't_a' ), 'c_in'( 'v_sko__4mk'( T
% 107.28/107.64    , X, 'v_r' ), X, 't_a' ), =( X, 'c_emptyset' ) ] )
% 107.28/107.64  , 4, clause( 704, [ ~( =( 'c_emptyset', 'v_S' ) ) ] )
% 107.28/107.64  , 0, 3, substitution( 0, [ :=( X, 'v_S' ), :=( Y, X ), :=( Z, Y ), :=( T, Z
% 107.28/107.64     )] ), substitution( 1, [] )).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  eqrefl(
% 107.28/107.64  clause( 1103, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.28/107.64    'c_Pair'( Y, Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), 
% 107.28/107.64    'c_in'( 'v_sko__4mj'( 'v_S', Y, 'v_r' ), 'v_S', 't_a' ), 'c_in'( 
% 107.28/107.64    'v_sko__4mk'( Z, 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.64  , clause( 708, [ ~( =( 'c_emptyset', 'c_emptyset' ) ), ~( 'c_lessequals'( 
% 107.28/107.64    'v_S', X, 'tc_set'( 't_a' ) ) ), 'c_in'( 'c_Pair'( Y, Z, 't_a', 't_a' ), 
% 107.28/107.64    'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mj'( 'v_S', Y, 'v_r'
% 107.28/107.64     ), 'v_S', 't_a' ), 'c_in'( 'v_sko__4mk'( Z, 'v_S', 'v_r' ), 'v_S', 't_a'
% 107.28/107.64     ) ] )
% 107.28/107.64  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  subsumption(
% 107.28/107.64  clause( 45, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.28/107.64    'c_Pair'( Y, Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), 
% 107.28/107.64    'c_in'( 'v_sko__4mj'( 'v_S', Y, 'v_r' ), 'v_S', 't_a' ), 'c_in'( 
% 107.28/107.64    'v_sko__4mk'( Z, 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.64  , clause( 1103, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 
% 107.28/107.64    'c_in'( 'c_Pair'( Y, Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' )
% 107.28/107.64     ), 'c_in'( 'v_sko__4mj'( 'v_S', Y, 'v_r' ), 'v_S', 't_a' ), 'c_in'( 
% 107.28/107.64    'v_sko__4mk'( Z, 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.64  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 107.28/107.64    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 107.28/107.64     ).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  resolution(
% 107.28/107.64  clause( 1104, [ ~( 'c_in'( X, 'v_S', 't_a' ) ), 'c_in'( 'c_Pair'( X, 'v_L'
% 107.28/107.64    , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.64  , clause( 7, [ ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ), ~( 'c_in'( Z
% 107.28/107.64    , X, 't_a' ) ), 'c_in'( 'c_Pair'( Z, Y, 't_a', 't_a' ), 'v_r', 'tc_prod'( 
% 107.28/107.64    't_a', 't_a' ) ) ] )
% 107.28/107.64  , 0, clause( 13, [ 'c_Tarski_OisLub'( 'v_S', 'v_cl', 'v_L', 't_a' ) ] )
% 107.28/107.64  , 0, substitution( 0, [ :=( X, 'v_S' ), :=( Y, 'v_L' ), :=( Z, X )] ), 
% 107.28/107.64    substitution( 1, [] )).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  subsumption(
% 107.28/107.64  clause( 49, [ ~( 'c_in'( X, 'v_S', 't_a' ) ), 'c_in'( 'c_Pair'( X, 'v_L', 
% 107.28/107.64    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.64  , clause( 1104, [ ~( 'c_in'( X, 'v_S', 't_a' ) ), 'c_in'( 'c_Pair'( X, 
% 107.28/107.64    'v_L', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.64  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 107.28/107.64    1 )] ) ).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  eqswap(
% 107.28/107.64  clause( 1106, [ ~( =( 'c_emptyset', 'v_S' ) ) ] )
% 107.28/107.64  , clause( 12, [ ~( =( 'v_S', 'c_emptyset' ) ) ] )
% 107.28/107.64  , 0, substitution( 0, [] )).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  paramod(
% 107.28/107.64  clause( 1110, [ ~( =( 'c_emptyset', 'c_emptyset' ) ), ~( 'c_in'( 'c_Pair'( 
% 107.28/107.64    'v_sko__4mk'( X, 'v_S', 'v_r' ), X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 
% 107.28/107.64    't_a', 't_a' ) ) ), ~( 'c_lessequals'( 'v_S', Y, 'tc_set'( 't_a' ) ) ), 
% 107.28/107.64    'c_in'( 'c_Pair'( Z, X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' )
% 107.28/107.64     ), 'c_in'( 'v_sko__4mj'( 'v_S', Z, 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.64  , clause( 1, [ ~( 'c_in'( 'c_Pair'( 'v_sko__4mk'( X, Y, 'v_r' ), X, 't_a', 
% 107.28/107.64    't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_lessequals'( Y, Z, 
% 107.28/107.64    'tc_set'( 't_a' ) ) ), 'c_in'( 'c_Pair'( T, X, 't_a', 't_a' ), 'v_r', 
% 107.28/107.64    'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mj'( Y, T, 'v_r' ), Y, 
% 107.28/107.64    't_a' ), =( Y, 'c_emptyset' ) ] )
% 107.28/107.64  , 4, clause( 1106, [ ~( =( 'c_emptyset', 'v_S' ) ) ] )
% 107.28/107.64  , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, 'v_S' ), :=( Z, Y ), :=( T, Z
% 107.28/107.64     )] ), substitution( 1, [] )).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  eqrefl(
% 107.28/107.64  clause( 1171, [ ~( 'c_in'( 'c_Pair'( 'v_sko__4mk'( X, 'v_S', 'v_r' ), X, 
% 107.28/107.64    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_lessequals'( 
% 107.28/107.64    'v_S', Y, 'tc_set'( 't_a' ) ) ), 'c_in'( 'c_Pair'( Z, X, 't_a', 't_a' ), 
% 107.28/107.64    'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mj'( 'v_S', Z, 'v_r'
% 107.28/107.64     ), 'v_S', 't_a' ) ] )
% 107.28/107.64  , clause( 1110, [ ~( =( 'c_emptyset', 'c_emptyset' ) ), ~( 'c_in'( 'c_Pair'( 
% 107.28/107.64    'v_sko__4mk'( X, 'v_S', 'v_r' ), X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 
% 107.28/107.64    't_a', 't_a' ) ) ), ~( 'c_lessequals'( 'v_S', Y, 'tc_set'( 't_a' ) ) ), 
% 107.28/107.64    'c_in'( 'c_Pair'( Z, X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' )
% 107.28/107.64     ), 'c_in'( 'v_sko__4mj'( 'v_S', Z, 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.64  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  subsumption(
% 107.28/107.64  clause( 112, [ ~( 'c_in'( 'c_Pair'( 'v_sko__4mk'( X, 'v_S', 'v_r' ), X, 
% 107.28/107.64    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_lessequals'( 
% 107.28/107.64    'v_S', Y, 'tc_set'( 't_a' ) ) ), 'c_in'( 'c_Pair'( Z, X, 't_a', 't_a' ), 
% 107.28/107.64    'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mj'( 'v_S', Z, 'v_r'
% 107.28/107.64     ), 'v_S', 't_a' ) ] )
% 107.28/107.64  , clause( 1171, [ ~( 'c_in'( 'c_Pair'( 'v_sko__4mk'( X, 'v_S', 'v_r' ), X, 
% 107.28/107.64    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_lessequals'( 
% 107.28/107.64    'v_S', Y, 'tc_set'( 't_a' ) ) ), 'c_in'( 'c_Pair'( Z, X, 't_a', 't_a' ), 
% 107.28/107.64    'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mj'( 'v_S', Z, 'v_r'
% 107.28/107.64     ), 'v_S', 't_a' ) ] )
% 107.28/107.64  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 107.28/107.64    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 107.28/107.64     ).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  resolution(
% 107.28/107.64  clause( 1172, [ ~( 'c_in'( X, 'v_S', 't_a' ) ), 'c_in'( 'c_Pair'( X, 'v_b'
% 107.28/107.64    , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.64  , clause( 5, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, 
% 107.28/107.64    'c_Tarski_Ointerval'( T, U, W, Z ), 'tc_set'( Z ) ) ), 'c_in'( 'c_Pair'( 
% 107.28/107.64    X, W, Z, Z ), T, 'tc_prod'( Z, Z ) ) ] )
% 107.28/107.64  , 1, clause( 11, [ 'c_lessequals'( 'v_S', 'c_Tarski_Ointerval'( 'v_r', 
% 107.28/107.64    'v_a', 'v_b', 't_a' ), 'tc_set'( 't_a' ) ) ] )
% 107.28/107.64  , 0, substitution( 0, [ :=( X, X ), :=( Y, 'v_S' ), :=( Z, 't_a' ), :=( T, 
% 107.28/107.64    'v_r' ), :=( U, 'v_a' ), :=( W, 'v_b' )] ), substitution( 1, [] )).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  subsumption(
% 107.28/107.64  clause( 122, [ ~( 'c_in'( X, 'v_S', 't_a' ) ), 'c_in'( 'c_Pair'( X, 'v_b', 
% 107.28/107.64    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.64  , clause( 1172, [ ~( 'c_in'( X, 'v_S', 't_a' ) ), 'c_in'( 'c_Pair'( X, 
% 107.28/107.64    'v_b', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.64  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 107.28/107.64    1 )] ) ).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  eqswap(
% 107.28/107.64  clause( 1174, [ ~( =( 'c_emptyset', 'v_S' ) ) ] )
% 107.28/107.64  , clause( 12, [ ~( =( 'v_S', 'c_emptyset' ) ) ] )
% 107.28/107.64  , 0, substitution( 0, [] )).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  paramod(
% 107.28/107.64  clause( 1178, [ ~( =( 'c_emptyset', 'c_emptyset' ) ), ~( 'c_in'( 'c_Pair'( 
% 107.28/107.64    X, 'v_sko__4mj'( 'v_S', X, 'v_r' ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 
% 107.28/107.64    't_a', 't_a' ) ) ), ~( 'c_lessequals'( 'v_S', Y, 'tc_set'( 't_a' ) ) ), 
% 107.28/107.64    'c_in'( 'c_Pair'( X, Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' )
% 107.28/107.64     ), 'c_in'( 'v_sko__4mk'( Z, 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.64  , clause( 2, [ ~( 'c_in'( 'c_Pair'( X, 'v_sko__4mj'( Y, X, 'v_r' ), 't_a', 
% 107.28/107.64    't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_lessequals'( Y, Z, 
% 107.28/107.64    'tc_set'( 't_a' ) ) ), 'c_in'( 'c_Pair'( X, T, 't_a', 't_a' ), 'v_r', 
% 107.28/107.64    'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mk'( T, Y, 'v_r' ), Y, 
% 107.28/107.64    't_a' ), =( Y, 'c_emptyset' ) ] )
% 107.28/107.64  , 4, clause( 1174, [ ~( =( 'c_emptyset', 'v_S' ) ) ] )
% 107.28/107.64  , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, 'v_S' ), :=( Z, Y ), :=( T, Z
% 107.28/107.64     )] ), substitution( 1, [] )).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  eqrefl(
% 107.28/107.64  clause( 1239, [ ~( 'c_in'( 'c_Pair'( X, 'v_sko__4mj'( 'v_S', X, 'v_r' ), 
% 107.28/107.64    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_lessequals'( 
% 107.28/107.64    'v_S', Y, 'tc_set'( 't_a' ) ) ), 'c_in'( 'c_Pair'( X, Z, 't_a', 't_a' ), 
% 107.28/107.64    'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mk'( Z, 'v_S', 'v_r'
% 107.28/107.64     ), 'v_S', 't_a' ) ] )
% 107.28/107.64  , clause( 1178, [ ~( =( 'c_emptyset', 'c_emptyset' ) ), ~( 'c_in'( 'c_Pair'( 
% 107.28/107.64    X, 'v_sko__4mj'( 'v_S', X, 'v_r' ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 
% 107.28/107.64    't_a', 't_a' ) ) ), ~( 'c_lessequals'( 'v_S', Y, 'tc_set'( 't_a' ) ) ), 
% 107.28/107.64    'c_in'( 'c_Pair'( X, Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' )
% 107.28/107.64     ), 'c_in'( 'v_sko__4mk'( Z, 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.64  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  subsumption(
% 107.28/107.64  clause( 213, [ ~( 'c_in'( 'c_Pair'( X, 'v_sko__4mj'( 'v_S', X, 'v_r' ), 
% 107.28/107.64    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_lessequals'( 
% 107.28/107.64    'v_S', Y, 'tc_set'( 't_a' ) ) ), 'c_in'( 'c_Pair'( X, Z, 't_a', 't_a' ), 
% 107.28/107.64    'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mk'( Z, 'v_S', 'v_r'
% 107.28/107.64     ), 'v_S', 't_a' ) ] )
% 107.28/107.64  , clause( 1239, [ ~( 'c_in'( 'c_Pair'( X, 'v_sko__4mj'( 'v_S', X, 'v_r' ), 
% 107.28/107.64    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_lessequals'( 
% 107.28/107.64    'v_S', Y, 'tc_set'( 't_a' ) ) ), 'c_in'( 'c_Pair'( X, Z, 't_a', 't_a' ), 
% 107.28/107.64    'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mk'( Z, 'v_S', 'v_r'
% 107.28/107.64     ), 'v_S', 't_a' ) ] )
% 107.28/107.64  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 107.28/107.64    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 107.28/107.64     ).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  eqswap(
% 107.28/107.64  clause( 1241, [ ~( =( 'c_emptyset', 'v_S' ) ) ] )
% 107.28/107.64  , clause( 12, [ ~( =( 'v_S', 'c_emptyset' ) ) ] )
% 107.28/107.64  , 0, substitution( 0, [] )).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  paramod(
% 107.28/107.64  clause( 1245, [ ~( =( 'c_emptyset', 'c_emptyset' ) ), ~( 'c_in'( 'c_Pair'( 
% 107.28/107.64    X, 'v_sko__4mj'( 'v_S', X, 'v_r' ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 
% 107.28/107.64    't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( 'v_sko__4mk'( Y, 'v_S', 'v_r' )
% 107.28/107.64    , Y, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 
% 107.28/107.64    'c_lessequals'( 'v_S', Z, 'tc_set'( 't_a' ) ) ), 'c_in'( 'c_Pair'( X, Y, 
% 107.28/107.64    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.64  , clause( 3, [ ~( 'c_in'( 'c_Pair'( X, 'v_sko__4mj'( Y, X, 'v_r' ), 't_a', 
% 107.28/107.64    't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( 
% 107.28/107.64    'v_sko__4mk'( Z, Y, 'v_r' ), Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 
% 107.28/107.64    't_a' ) ) ), ~( 'c_lessequals'( Y, T, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.28/107.64    'c_Pair'( X, Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), =( Y
% 107.28/107.64    , 'c_emptyset' ) ] )
% 107.28/107.64  , 4, clause( 1241, [ ~( =( 'c_emptyset', 'v_S' ) ) ] )
% 107.28/107.64  , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, 'v_S' ), :=( Z, Y ), :=( T, Z
% 107.28/107.64     )] ), substitution( 1, [] )).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  eqrefl(
% 107.28/107.64  clause( 1315, [ ~( 'c_in'( 'c_Pair'( X, 'v_sko__4mj'( 'v_S', X, 'v_r' ), 
% 107.28/107.64    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( 
% 107.28/107.64    'v_sko__4mk'( Y, 'v_S', 'v_r' ), Y, 't_a', 't_a' ), 'v_r', 'tc_prod'( 
% 107.28/107.64    't_a', 't_a' ) ) ), ~( 'c_lessequals'( 'v_S', Z, 'tc_set'( 't_a' ) ) ), 
% 107.28/107.64    'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' )
% 107.28/107.64     ) ] )
% 107.28/107.64  , clause( 1245, [ ~( =( 'c_emptyset', 'c_emptyset' ) ), ~( 'c_in'( 'c_Pair'( 
% 107.28/107.64    X, 'v_sko__4mj'( 'v_S', X, 'v_r' ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 
% 107.28/107.64    't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( 'v_sko__4mk'( Y, 'v_S', 'v_r' )
% 107.28/107.64    , Y, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 
% 107.28/107.64    'c_lessequals'( 'v_S', Z, 'tc_set'( 't_a' ) ) ), 'c_in'( 'c_Pair'( X, Y, 
% 107.28/107.64    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.64  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  subsumption(
% 107.28/107.64  clause( 324, [ ~( 'c_in'( 'c_Pair'( X, 'v_sko__4mj'( 'v_S', X, 'v_r' ), 
% 107.28/107.64    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( 
% 107.28/107.64    'v_sko__4mk'( Y, 'v_S', 'v_r' ), Y, 't_a', 't_a' ), 'v_r', 'tc_prod'( 
% 107.28/107.64    't_a', 't_a' ) ) ), ~( 'c_lessequals'( 'v_S', Z, 'tc_set'( 't_a' ) ) ), 
% 107.28/107.64    'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' )
% 107.28/107.64     ) ] )
% 107.28/107.64  , clause( 1315, [ ~( 'c_in'( 'c_Pair'( X, 'v_sko__4mj'( 'v_S', X, 'v_r' ), 
% 107.28/107.64    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( 
% 107.28/107.64    'v_sko__4mk'( Y, 'v_S', 'v_r' ), Y, 't_a', 't_a' ), 'v_r', 'tc_prod'( 
% 107.28/107.64    't_a', 't_a' ) ) ), ~( 'c_lessequals'( 'v_S', Z, 'tc_set'( 't_a' ) ) ), 
% 107.28/107.64    'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' )
% 107.28/107.64     ) ] )
% 107.28/107.64  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 107.28/107.64    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 107.28/107.64     ).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  resolution(
% 107.28/107.64  clause( 1316, [ ~( 'c_in'( X, 'v_S', 't_a' ) ), 'c_in'( 'c_Pair'( 'v_a', X
% 107.28/107.64    , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.64  , clause( 4, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( Y, 
% 107.28/107.64    'c_Tarski_Ointerval'( T, U, W, Z ), 'tc_set'( Z ) ) ), 'c_in'( 'c_Pair'( 
% 107.28/107.64    U, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ] )
% 107.28/107.64  , 1, clause( 11, [ 'c_lessequals'( 'v_S', 'c_Tarski_Ointerval'( 'v_r', 
% 107.28/107.64    'v_a', 'v_b', 't_a' ), 'tc_set'( 't_a' ) ) ] )
% 107.28/107.64  , 0, substitution( 0, [ :=( X, X ), :=( Y, 'v_S' ), :=( Z, 't_a' ), :=( T, 
% 107.28/107.64    'v_r' ), :=( U, 'v_a' ), :=( W, 'v_b' )] ), substitution( 1, [] )).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  subsumption(
% 107.28/107.64  clause( 341, [ ~( 'c_in'( X, 'v_S', 't_a' ) ), 'c_in'( 'c_Pair'( 'v_a', X, 
% 107.28/107.64    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.64  , clause( 1316, [ ~( 'c_in'( X, 'v_S', 't_a' ) ), 'c_in'( 'c_Pair'( 'v_a', 
% 107.28/107.64    X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.64  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 107.28/107.64    1 )] ) ).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  resolution(
% 107.28/107.64  clause( 1317, [ ~( 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r', 
% 107.28/107.64    'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( 'v_a', 'v_L', 't_a', 
% 107.28/107.64    't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 107.28/107.64  , clause( 14, [ ~( 'c_in'( 'v_L', 'c_Tarski_Ointerval'( 'v_r', 'v_a', 'v_b'
% 107.28/107.64    , 't_a' ), 't_a' ) ) ] )
% 107.28/107.64  , 0, clause( 6, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) )
% 107.28/107.64     ), ~( 'c_in'( 'c_Pair'( U, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), 'c_in'( 
% 107.28/107.64    X, 'c_Tarski_Ointerval'( T, U, Y, Z ), Z ) ] )
% 107.28/107.64  , 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_L' ), :=( Y, 'v_b'
% 107.28/107.64     ), :=( Z, 't_a' ), :=( T, 'v_r' ), :=( U, 'v_a' )] )).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  subsumption(
% 107.28/107.64  clause( 380, [ ~( 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r', 
% 107.28/107.64    'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( 'v_a', 'v_L', 't_a', 
% 107.28/107.64    't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 107.28/107.64  , clause( 1317, [ ~( 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r'
% 107.28/107.64    , 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( 'v_a', 'v_L', 't_a'
% 107.28/107.64    , 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 107.28/107.64  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 107.28/107.64     ).
% 107.28/107.64  
% 107.28/107.64  
% 107.28/107.64  resolution(
% 107.28/107.64  clause( 1318, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), 'c_in'( 'c_Pair'( 'v_L', X
% 107.28/107.64    , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 
% 107.28/107.64    'v_sko__4mi'( 'v_S', 'v_r', X ), 'v_S', 't_a' ) ] )
% 107.28/107.64  , clause( 8, [ ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ), ~( 'c_in'( Z
% 107.28/107.64    , 'v_A', 't_a' ) ), 'c_in'( 'c_Pair'( Y, Z, 't_a', 't_a' ), 'v_r', 
% 107.28/107.64    'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mi'( X, 'v_r', Z ), X, 
% 107.28/107.65    't_a' ) ] )
% 107.28/107.65  , 0, clause( 13, [ 'c_Tarski_OisLub'( 'v_S', 'v_cl', 'v_L', 't_a' ) ] )
% 107.28/107.65  , 0, substitution( 0, [ :=( X, 'v_S' ), :=( Y, 'v_L' ), :=( Z, X )] ), 
% 107.28/107.65    substitution( 1, [] )).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  subsumption(
% 107.28/107.65  clause( 423, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), 'c_in'( 'c_Pair'( 'v_L', X, 
% 107.28/107.65    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mi'( 
% 107.28/107.65    'v_S', 'v_r', X ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , clause( 1318, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), 'c_in'( 'c_Pair'( 'v_L', 
% 107.28/107.65    X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 
% 107.28/107.65    'v_sko__4mi'( 'v_S', 'v_r', X ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 107.28/107.65    1 ), ==>( 2, 2 )] ) ).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  resolution(
% 107.28/107.65  clause( 1319, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), ~( 'c_in'( 'c_Pair'( 
% 107.28/107.65    'v_sko__4mi'( 'v_S', 'v_r', X ), X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 
% 107.28/107.65    't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( 'v_L', X, 't_a', 't_a' ), 'v_r', 
% 107.28/107.65    'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , clause( 9, [ ~( 'c_Tarski_OisLub'( X, 'v_cl', Y, 't_a' ) ), ~( 'c_in'( Z
% 107.28/107.65    , 'v_A', 't_a' ) ), ~( 'c_in'( 'c_Pair'( 'v_sko__4mi'( X, 'v_r', Z ), Z, 
% 107.28/107.65    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( Y
% 107.28/107.65    , Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , 0, clause( 13, [ 'c_Tarski_OisLub'( 'v_S', 'v_cl', 'v_L', 't_a' ) ] )
% 107.28/107.65  , 0, substitution( 0, [ :=( X, 'v_S' ), :=( Y, 'v_L' ), :=( Z, X )] ), 
% 107.28/107.65    substitution( 1, [] )).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  subsumption(
% 107.28/107.65  clause( 479, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), ~( 'c_in'( 'c_Pair'( 
% 107.28/107.65    'v_sko__4mi'( 'v_S', 'v_r', X ), X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 
% 107.28/107.65    't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( 'v_L', X, 't_a', 't_a' ), 'v_r', 
% 107.28/107.65    'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , clause( 1319, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), ~( 'c_in'( 'c_Pair'( 
% 107.28/107.65    'v_sko__4mi'( 'v_S', 'v_r', X ), X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 
% 107.28/107.65    't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( 'v_L', X, 't_a', 't_a' ), 'v_r', 
% 107.28/107.65    'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 107.28/107.65    1 ), ==>( 2, 2 )] ) ).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  resolution(
% 107.28/107.65  clause( 1320, [ 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r', 
% 107.28/107.65    'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mi'( 'v_S', 'v_r', 'v_b' )
% 107.28/107.65    , 'v_S', 't_a' ) ] )
% 107.28/107.65  , clause( 423, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), 'c_in'( 'c_Pair'( 'v_L', X
% 107.28/107.65    , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 
% 107.28/107.65    'v_sko__4mi'( 'v_S', 'v_r', X ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , 0, clause( 10, [ 'c_in'( 'v_b', 'v_A', 't_a' ) ] )
% 107.28/107.65  , 0, substitution( 0, [ :=( X, 'v_b' )] ), substitution( 1, [] )).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  subsumption(
% 107.28/107.65  clause( 520, [ 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r', 
% 107.28/107.65    'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mi'( 'v_S', 'v_r', 'v_b' )
% 107.28/107.65    , 'v_S', 't_a' ) ] )
% 107.28/107.65  , clause( 1320, [ 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r', 
% 107.28/107.65    'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mi'( 'v_S', 'v_r', 'v_b' )
% 107.28/107.65    , 'v_S', 't_a' ) ] )
% 107.28/107.65  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 107.28/107.65     ).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  resolution(
% 107.28/107.65  clause( 1321, [ ~( 'c_in'( 'v_b', 'v_A', 't_a' ) ), 'c_in'( 'c_Pair'( 'v_L'
% 107.28/107.65    , 'v_b', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 
% 107.28/107.65    'v_sko__4mi'( 'v_S', 'v_r', 'v_b' ), 'v_S', 't_a' ) ) ] )
% 107.28/107.65  , clause( 479, [ ~( 'c_in'( X, 'v_A', 't_a' ) ), ~( 'c_in'( 'c_Pair'( 
% 107.28/107.65    'v_sko__4mi'( 'v_S', 'v_r', X ), X, 't_a', 't_a' ), 'v_r', 'tc_prod'( 
% 107.28/107.65    't_a', 't_a' ) ) ), 'c_in'( 'c_Pair'( 'v_L', X, 't_a', 't_a' ), 'v_r', 
% 107.28/107.65    'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , 1, clause( 122, [ ~( 'c_in'( X, 'v_S', 't_a' ) ), 'c_in'( 'c_Pair'( X, 
% 107.28/107.65    'v_b', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , 1, substitution( 0, [ :=( X, 'v_b' )] ), substitution( 1, [ :=( X, 
% 107.28/107.65    'v_sko__4mi'( 'v_S', 'v_r', 'v_b' ) )] )).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  resolution(
% 107.28/107.65  clause( 1322, [ 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r', 
% 107.28/107.65    'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'v_sko__4mi'( 'v_S', 'v_r', 'v_b'
% 107.28/107.65     ), 'v_S', 't_a' ) ) ] )
% 107.28/107.65  , clause( 1321, [ ~( 'c_in'( 'v_b', 'v_A', 't_a' ) ), 'c_in'( 'c_Pair'( 
% 107.28/107.65    'v_L', 'v_b', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), ~( 
% 107.28/107.65    'c_in'( 'v_sko__4mi'( 'v_S', 'v_r', 'v_b' ), 'v_S', 't_a' ) ) ] )
% 107.28/107.65  , 0, clause( 10, [ 'c_in'( 'v_b', 'v_A', 't_a' ) ] )
% 107.28/107.65  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  subsumption(
% 107.28/107.65  clause( 524, [ 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r', 
% 107.28/107.65    'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'v_sko__4mi'( 'v_S', 'v_r', 'v_b'
% 107.28/107.65     ), 'v_S', 't_a' ) ) ] )
% 107.28/107.65  , clause( 1322, [ 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r', 
% 107.28/107.65    'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'v_sko__4mi'( 'v_S', 'v_r', 'v_b'
% 107.28/107.65     ), 'v_S', 't_a' ) ) ] )
% 107.28/107.65  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 107.28/107.65     ).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  resolution(
% 107.28/107.65  clause( 1323, [ 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r', 
% 107.28/107.65    'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a'
% 107.28/107.65     ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , clause( 524, [ 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r', 
% 107.28/107.65    'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'v_sko__4mi'( 'v_S', 'v_r', 'v_b'
% 107.28/107.65     ), 'v_S', 't_a' ) ) ] )
% 107.28/107.65  , 1, clause( 520, [ 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r', 
% 107.28/107.65    'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mi'( 'v_S', 'v_r', 'v_b' )
% 107.28/107.65    , 'v_S', 't_a' ) ] )
% 107.28/107.65  , 1, substitution( 0, [] ), substitution( 1, [] )).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  factor(
% 107.28/107.65  clause( 1324, [ 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r', 
% 107.28/107.65    'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , clause( 1323, [ 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r', 
% 107.28/107.65    'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a'
% 107.28/107.65     ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , 0, 1, substitution( 0, [] )).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  subsumption(
% 107.28/107.65  clause( 527, [ 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r', 
% 107.28/107.65    'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , clause( 1324, [ 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r', 
% 107.28/107.65    'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  resolution(
% 107.28/107.65  clause( 1325, [ ~( 'c_in'( 'c_Pair'( 'v_a', 'v_L', 't_a', 't_a' ), 'v_r', 
% 107.28/107.65    'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 107.28/107.65  , clause( 380, [ ~( 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r', 
% 107.28/107.65    'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 'c_Pair'( 'v_a', 'v_L', 't_a', 
% 107.28/107.65    't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 107.28/107.65  , 0, clause( 527, [ 'c_in'( 'c_Pair'( 'v_L', 'v_b', 't_a', 't_a' ), 'v_r', 
% 107.28/107.65    'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  subsumption(
% 107.28/107.65  clause( 531, [ ~( 'c_in'( 'c_Pair'( 'v_a', 'v_L', 't_a', 't_a' ), 'v_r', 
% 107.28/107.65    'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 107.28/107.65  , clause( 1325, [ ~( 'c_in'( 'c_Pair'( 'v_a', 'v_L', 't_a', 't_a' ), 'v_r'
% 107.28/107.65    , 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 107.28/107.65  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  resolution(
% 107.28/107.65  clause( 1326, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.28/107.65    'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 't_a' ), 'c_in'( 'v_sko__4mk'( 
% 107.28/107.65    'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , clause( 531, [ ~( 'c_in'( 'c_Pair'( 'v_a', 'v_L', 't_a', 't_a' ), 'v_r', 
% 107.28/107.65    'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 107.28/107.65  , 0, clause( 45, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 
% 107.28/107.65    'c_in'( 'c_Pair'( Y, Z, 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' )
% 107.28/107.65     ), 'c_in'( 'v_sko__4mj'( 'v_S', Y, 'v_r' ), 'v_S', 't_a' ), 'c_in'( 
% 107.28/107.65    'v_sko__4mk'( Z, 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, 'v_a' ), 
% 107.28/107.65    :=( Z, 'v_L' )] )).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  subsumption(
% 107.28/107.65  clause( 554, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.28/107.65    'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 't_a' ), 'c_in'( 'v_sko__4mk'( 
% 107.28/107.65    'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , clause( 1326, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 
% 107.28/107.65    'c_in'( 'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 't_a' ), 'c_in'( 
% 107.28/107.65    'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 107.28/107.65    1 ), ==>( 2, 2 )] ) ).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  resolution(
% 107.28/107.65  clause( 1327, [ 'c_in'( 'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 't_a' )
% 107.28/107.65    , 'c_in'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , clause( 554, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.28/107.65    'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 't_a' ), 'c_in'( 'v_sko__4mk'( 
% 107.28/107.65    'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , 0, clause( 11, [ 'c_lessequals'( 'v_S', 'c_Tarski_Ointerval'( 'v_r', 
% 107.28/107.65    'v_a', 'v_b', 't_a' ), 'tc_set'( 't_a' ) ) ] )
% 107.28/107.65  , 0, substitution( 0, [ :=( X, 'c_Tarski_Ointerval'( 'v_r', 'v_a', 'v_b', 
% 107.28/107.65    't_a' ) )] ), substitution( 1, [] )).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  subsumption(
% 107.28/107.65  clause( 555, [ 'c_in'( 'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 't_a' )
% 107.28/107.65    , 'c_in'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , clause( 1327, [ 'c_in'( 'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 't_a'
% 107.28/107.65     ), 'c_in'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 107.28/107.65     ).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  resolution(
% 107.28/107.65  clause( 1328, [ 'c_in'( 'c_Pair'( 'v_a', 'v_sko__4mj'( 'v_S', 'v_a', 'v_r'
% 107.28/107.65     ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 
% 107.28/107.65    'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , clause( 341, [ ~( 'c_in'( X, 'v_S', 't_a' ) ), 'c_in'( 'c_Pair'( 'v_a', X
% 107.28/107.65    , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , 0, clause( 555, [ 'c_in'( 'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 
% 107.28/107.65    't_a' ), 'c_in'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , 0, substitution( 0, [ :=( X, 'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ) )] ), 
% 107.28/107.65    substitution( 1, [] )).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  subsumption(
% 107.28/107.65  clause( 558, [ 'c_in'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' )
% 107.28/107.65    , 'c_in'( 'c_Pair'( 'v_a', 'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 't_a', 
% 107.28/107.65    't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , clause( 1328, [ 'c_in'( 'c_Pair'( 'v_a', 'v_sko__4mj'( 'v_S', 'v_a', 
% 107.28/107.65    'v_r' ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 
% 107.28/107.65    'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 107.28/107.65     ).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  resolution(
% 107.28/107.65  clause( 1331, [ 'c_in'( 'c_Pair'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 
% 107.28/107.65    'v_L', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 
% 107.28/107.65    'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , clause( 49, [ ~( 'c_in'( X, 'v_S', 't_a' ) ), 'c_in'( 'c_Pair'( X, 'v_L'
% 107.28/107.65    , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , 0, clause( 555, [ 'c_in'( 'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 
% 107.28/107.65    't_a' ), 'c_in'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , 1, substitution( 0, [ :=( X, 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ) )] ), 
% 107.28/107.65    substitution( 1, [] )).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  subsumption(
% 107.28/107.65  clause( 563, [ 'c_in'( 'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 't_a' )
% 107.28/107.65    , 'c_in'( 'c_Pair'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_L', 't_a', 
% 107.28/107.65    't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , clause( 1331, [ 'c_in'( 'c_Pair'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 
% 107.28/107.65    'v_L', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 
% 107.28/107.65    'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 107.28/107.65     ).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  resolution(
% 107.28/107.65  clause( 1332, [ ~( 'c_in'( 'c_Pair'( 'v_a', 'v_sko__4mj'( 'v_S', 'v_a', 
% 107.28/107.65    'v_r' ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 
% 107.28/107.65    'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 'c_in'( 'v_sko__4mk'( 
% 107.28/107.65    'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , clause( 531, [ ~( 'c_in'( 'c_Pair'( 'v_a', 'v_L', 't_a', 't_a' ), 'v_r', 
% 107.28/107.65    'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 107.28/107.65  , 0, clause( 213, [ ~( 'c_in'( 'c_Pair'( X, 'v_sko__4mj'( 'v_S', X, 'v_r' )
% 107.28/107.65    , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_lessequals'( 
% 107.28/107.65    'v_S', Y, 'tc_set'( 't_a' ) ) ), 'c_in'( 'c_Pair'( X, Z, 't_a', 't_a' ), 
% 107.28/107.65    'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mk'( Z, 'v_S', 'v_r'
% 107.28/107.65     ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_a' ), :=( Y, X ), 
% 107.28/107.65    :=( Z, 'v_L' )] )).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  resolution(
% 107.28/107.65  clause( 1333, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.28/107.65    'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' ), 'c_in'( 'v_sko__4mk'( 
% 107.28/107.65    'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , clause( 1332, [ ~( 'c_in'( 'c_Pair'( 'v_a', 'v_sko__4mj'( 'v_S', 'v_a', 
% 107.28/107.65    'v_r' ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 
% 107.28/107.65    'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 'c_in'( 'v_sko__4mk'( 
% 107.28/107.65    'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , 0, clause( 558, [ 'c_in'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_S', 
% 107.28/107.65    't_a' ), 'c_in'( 'c_Pair'( 'v_a', 'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 
% 107.28/107.65    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  factor(
% 107.28/107.65  clause( 1334, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.28/107.65    'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , clause( 1333, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 
% 107.28/107.65    'c_in'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' ), 'c_in'( 
% 107.28/107.65    'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , 1, 2, substitution( 0, [ :=( X, X )] )).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  subsumption(
% 107.28/107.65  clause( 564, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.28/107.65    'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , clause( 1334, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 
% 107.28/107.65    'c_in'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 107.28/107.65    1 )] ) ).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  resolution(
% 107.28/107.65  clause( 1335, [ 'c_in'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' )
% 107.28/107.65     ] )
% 107.28/107.65  , clause( 564, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.28/107.65    'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , 0, clause( 11, [ 'c_lessequals'( 'v_S', 'c_Tarski_Ointerval'( 'v_r', 
% 107.28/107.65    'v_a', 'v_b', 't_a' ), 'tc_set'( 't_a' ) ) ] )
% 107.28/107.65  , 0, substitution( 0, [ :=( X, 'c_Tarski_Ointerval'( 'v_r', 'v_a', 'v_b', 
% 107.28/107.65    't_a' ) )] ), substitution( 1, [] )).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  subsumption(
% 107.28/107.65  clause( 569, [ 'c_in'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_S', 't_a' )
% 107.28/107.65     ] )
% 107.28/107.65  , clause( 1335, [ 'c_in'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_S', 't_a'
% 107.28/107.65     ) ] )
% 107.28/107.65  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  resolution(
% 107.28/107.65  clause( 1336, [ 'c_in'( 'c_Pair'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 
% 107.28/107.65    'v_L', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , clause( 49, [ ~( 'c_in'( X, 'v_S', 't_a' ) ), 'c_in'( 'c_Pair'( X, 'v_L'
% 107.28/107.65    , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , 0, clause( 569, [ 'c_in'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_S', 
% 107.28/107.65    't_a' ) ] )
% 107.28/107.65  , 0, substitution( 0, [ :=( X, 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ) )] ), 
% 107.28/107.65    substitution( 1, [] )).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  subsumption(
% 107.28/107.65  clause( 574, [ 'c_in'( 'c_Pair'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_L'
% 107.28/107.65    , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , clause( 1336, [ 'c_in'( 'c_Pair'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 
% 107.28/107.65    'v_L', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  resolution(
% 107.28/107.65  clause( 1337, [ ~( 'c_in'( 'c_Pair'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 
% 107.28/107.65    'v_L', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 
% 107.28/107.65    'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 'c_in'( 'v_sko__4mj'( 
% 107.28/107.65    'v_S', 'v_a', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , clause( 531, [ ~( 'c_in'( 'c_Pair'( 'v_a', 'v_L', 't_a', 't_a' ), 'v_r', 
% 107.28/107.65    'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 107.28/107.65  , 0, clause( 112, [ ~( 'c_in'( 'c_Pair'( 'v_sko__4mk'( X, 'v_S', 'v_r' ), X
% 107.28/107.65    , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_lessequals'( 
% 107.28/107.65    'v_S', Y, 'tc_set'( 't_a' ) ) ), 'c_in'( 'c_Pair'( Z, X, 't_a', 't_a' ), 
% 107.28/107.65    'v_r', 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'v_sko__4mj'( 'v_S', Z, 'v_r'
% 107.28/107.65     ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_L' ), :=( Y, X ), 
% 107.28/107.65    :=( Z, 'v_a' )] )).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  resolution(
% 107.28/107.65  clause( 1338, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.28/107.65    'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 't_a' ), 'c_in'( 'v_sko__4mj'( 
% 107.28/107.65    'v_S', 'v_a', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , clause( 1337, [ ~( 'c_in'( 'c_Pair'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' )
% 107.28/107.65    , 'v_L', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 
% 107.28/107.65    'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 'c_in'( 'v_sko__4mj'( 
% 107.28/107.65    'v_S', 'v_a', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , 0, clause( 563, [ 'c_in'( 'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 
% 107.28/107.65    't_a' ), 'c_in'( 'c_Pair'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_L', 
% 107.28/107.65    't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  factor(
% 107.28/107.65  clause( 1339, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.28/107.65    'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , clause( 1338, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 
% 107.28/107.65    'c_in'( 'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 't_a' ), 'c_in'( 
% 107.28/107.65    'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , 1, 2, substitution( 0, [ :=( X, X )] )).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  subsumption(
% 107.28/107.65  clause( 588, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.28/107.65    'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , clause( 1339, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 
% 107.28/107.65    'c_in'( 'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 107.28/107.65    1 )] ) ).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  resolution(
% 107.28/107.65  clause( 1340, [ 'c_in'( 'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 't_a' )
% 107.28/107.65     ] )
% 107.28/107.65  , clause( 588, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ), 'c_in'( 
% 107.28/107.65    'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 't_a' ) ] )
% 107.28/107.65  , 0, clause( 11, [ 'c_lessequals'( 'v_S', 'c_Tarski_Ointerval'( 'v_r', 
% 107.28/107.65    'v_a', 'v_b', 't_a' ), 'tc_set'( 't_a' ) ) ] )
% 107.28/107.65  , 0, substitution( 0, [ :=( X, 'c_Tarski_Ointerval'( 'v_r', 'v_a', 'v_b', 
% 107.28/107.65    't_a' ) )] ), substitution( 1, [] )).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  subsumption(
% 107.28/107.65  clause( 593, [ 'c_in'( 'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 't_a' )
% 107.28/107.65     ] )
% 107.28/107.65  , clause( 1340, [ 'c_in'( 'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 't_a'
% 107.28/107.65     ) ] )
% 107.28/107.65  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  resolution(
% 107.28/107.65  clause( 1341, [ 'c_in'( 'c_Pair'( 'v_a', 'v_sko__4mj'( 'v_S', 'v_a', 'v_r'
% 107.28/107.65     ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , clause( 341, [ ~( 'c_in'( X, 'v_S', 't_a' ) ), 'c_in'( 'c_Pair'( 'v_a', X
% 107.28/107.65    , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , 0, clause( 593, [ 'c_in'( 'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ), 'v_S', 
% 107.28/107.65    't_a' ) ] )
% 107.28/107.65  , 0, substitution( 0, [ :=( X, 'v_sko__4mj'( 'v_S', 'v_a', 'v_r' ) )] ), 
% 107.28/107.65    substitution( 1, [] )).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  subsumption(
% 107.28/107.65  clause( 597, [ 'c_in'( 'c_Pair'( 'v_a', 'v_sko__4mj'( 'v_S', 'v_a', 'v_r' )
% 107.28/107.65    , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , clause( 1341, [ 'c_in'( 'c_Pair'( 'v_a', 'v_sko__4mj'( 'v_S', 'v_a', 
% 107.28/107.65    'v_r' ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  resolution(
% 107.28/107.65  clause( 1342, [ ~( 'c_in'( 'c_Pair'( 'v_a', 'v_sko__4mj'( 'v_S', 'v_a', 
% 107.28/107.65    'v_r' ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 
% 107.28/107.65    'c_Pair'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_L', 't_a', 't_a' ), 
% 107.28/107.65    'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_lessequals'( 'v_S', X, 
% 107.28/107.65    'tc_set'( 't_a' ) ) ) ] )
% 107.28/107.65  , clause( 531, [ ~( 'c_in'( 'c_Pair'( 'v_a', 'v_L', 't_a', 't_a' ), 'v_r', 
% 107.28/107.65    'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 107.28/107.65  , 0, clause( 324, [ ~( 'c_in'( 'c_Pair'( X, 'v_sko__4mj'( 'v_S', X, 'v_r' )
% 107.28/107.65    , 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 
% 107.28/107.65    'c_Pair'( 'v_sko__4mk'( Y, 'v_S', 'v_r' ), Y, 't_a', 't_a' ), 'v_r', 
% 107.28/107.65    'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_lessequals'( 'v_S', Z, 'tc_set'( 
% 107.28/107.65    't_a' ) ) ), 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), 'v_r', 'tc_prod'( 
% 107.28/107.65    't_a', 't_a' ) ) ] )
% 107.28/107.65  , 3, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_a' ), :=( Y, 'v_L'
% 107.28/107.65     ), :=( Z, X )] )).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  resolution(
% 107.28/107.65  clause( 1343, [ ~( 'c_in'( 'c_Pair'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 
% 107.28/107.65    'v_L', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 
% 107.28/107.65    'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ) ] )
% 107.28/107.65  , clause( 1342, [ ~( 'c_in'( 'c_Pair'( 'v_a', 'v_sko__4mj'( 'v_S', 'v_a', 
% 107.28/107.65    'v_r' ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( 
% 107.28/107.65    'c_Pair'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 'v_L', 't_a', 't_a' ), 
% 107.28/107.65    'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_lessequals'( 'v_S', X, 
% 107.28/107.65    'tc_set'( 't_a' ) ) ) ] )
% 107.28/107.65  , 0, clause( 597, [ 'c_in'( 'c_Pair'( 'v_a', 'v_sko__4mj'( 'v_S', 'v_a', 
% 107.28/107.65    'v_r' ), 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  subsumption(
% 107.28/107.65  clause( 618, [ ~( 'c_in'( 'c_Pair'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 
% 107.28/107.65    'v_L', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 
% 107.28/107.65    'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ) ] )
% 107.28/107.65  , clause( 1343, [ ~( 'c_in'( 'c_Pair'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' )
% 107.28/107.65    , 'v_L', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 
% 107.28/107.65    'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ) ] )
% 107.28/107.65  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 
% 107.28/107.65    1 )] ) ).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  resolution(
% 107.28/107.65  clause( 1344, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ) ] )
% 107.28/107.65  , clause( 618, [ ~( 'c_in'( 'c_Pair'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 
% 107.28/107.65    'v_L', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ), ~( 
% 107.28/107.65    'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ) ] )
% 107.28/107.65  , 0, clause( 574, [ 'c_in'( 'c_Pair'( 'v_sko__4mk'( 'v_L', 'v_S', 'v_r' ), 
% 107.28/107.65    'v_L', 't_a', 't_a' ), 'v_r', 'tc_prod'( 't_a', 't_a' ) ) ] )
% 107.28/107.65  , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  subsumption(
% 107.28/107.65  clause( 619, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ) ] )
% 107.28/107.65  , clause( 1344, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ) ] )
% 107.28/107.65  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  resolution(
% 107.28/107.65  clause( 1345, [] )
% 107.28/107.65  , clause( 619, [ ~( 'c_lessequals'( 'v_S', X, 'tc_set'( 't_a' ) ) ) ] )
% 107.28/107.65  , 0, clause( 11, [ 'c_lessequals'( 'v_S', 'c_Tarski_Ointerval'( 'v_r', 
% 107.28/107.65    'v_a', 'v_b', 't_a' ), 'tc_set'( 't_a' ) ) ] )
% 107.28/107.65  , 0, substitution( 0, [ :=( X, 'c_Tarski_Ointerval'( 'v_r', 'v_a', 'v_b', 
% 107.28/107.65    't_a' ) )] ), substitution( 1, [] )).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  subsumption(
% 107.28/107.65  clause( 620, [] )
% 107.28/107.65  , clause( 1345, [] )
% 107.28/107.65  , substitution( 0, [] ), permutation( 0, [] ) ).
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  end.
% 107.28/107.65  
% 107.28/107.65  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 107.28/107.65  
% 107.28/107.65  Memory use:
% 107.28/107.65  
% 107.28/107.65  space for terms:        34250
% 107.28/107.65  space for clauses:      32451
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  clauses generated:      173121
% 107.28/107.65  clauses kept:           621
% 107.28/107.65  clauses selected:       229
% 107.28/107.65  clauses deleted:        18
% 107.28/107.65  clauses inuse deleted:  0
% 107.28/107.65  
% 107.28/107.65  subsentry:          25723
% 107.28/107.65  literals s-matched: 3464
% 107.28/107.65  literals matched:   3449
% 107.28/107.65  full subsumption:   1920
% 107.28/107.65  
% 107.28/107.65  checksum:           412119844
% 107.28/107.65  
% 107.28/107.65  
% 107.28/107.65  Bliksem ended
%------------------------------------------------------------------------------