TSTP Solution File: GEO040-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GEO040-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n016.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 : Sat Jul 16 02:51:05 EDT 2022

% Result   : Unsatisfiable 5.94s 6.36s
% Output   : Refutation 5.94s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO040-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Fri Jun 17 19:52:51 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 5.94/6.36  *** allocated 10000 integers for termspace/termends
% 5.94/6.36  *** allocated 10000 integers for clauses
% 5.94/6.36  *** allocated 10000 integers for justifications
% 5.94/6.36  Bliksem 1.12
% 5.94/6.36  
% 5.94/6.36  
% 5.94/6.36  Automatic Strategy Selection
% 5.94/6.36  
% 5.94/6.36  Clauses:
% 5.94/6.36  [
% 5.94/6.36     [ equidistant( X, Y, Y, X ) ],
% 5.94/6.36     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ), 
% 5.94/6.36    equidistant( Z, T, U, W ) ],
% 5.94/6.36     [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 5.94/6.36     [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 5.94/6.36     [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 5.94/6.36     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~( 
% 5.94/6.36    equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~( 
% 5.94/6.36    between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 5.94/6.36    , V0, W, V1 ) ],
% 5.94/6.36     [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 5.94/6.36     [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y, 
% 5.94/6.36    'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 5.94/6.36     [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U, 
% 5.94/6.36    'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 5.94/6.36     [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2', 
% 5.94/6.36    'lower_dimension_point_3' ) ) ],
% 5.94/6.36     [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3', 
% 5.94/6.36    'lower_dimension_point_1' ) ) ],
% 5.94/6.36     [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1', 
% 5.94/6.36    'lower_dimension_point_2' ) ) ],
% 5.94/6.36     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~( 
% 5.94/6.36    equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ), 
% 5.94/6.36    between( U, X, T ), =( Y, Z ) ],
% 5.94/6.36     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 5.94/6.36    X, T, euclid1( X, T, Y, U, Z ) ) ],
% 5.94/6.36     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 5.94/6.36    X, U, euclid2( X, T, Y, U, Z ) ) ],
% 5.94/6.36     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 5.94/6.36    euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 5.94/6.36     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~( 
% 5.94/6.36    between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 5.94/6.36    , Y, Z, W, T, U ), U ) ],
% 5.94/6.36     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~( 
% 5.94/6.36    between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X, 
% 5.94/6.36    continuous( X, Y, Z, W, T, U ) ) ],
% 5.94/6.36     [ between( u, v, w ) ],
% 5.94/6.36     [ between( v, u, w ) ],
% 5.94/6.36     [ ~( =( u, v ) ) ]
% 5.94/6.36  ] .
% 5.94/6.36  
% 5.94/6.36  
% 5.94/6.36  percentage equality = 0.135593, percentage horn = 0.761905
% 5.94/6.36  This is a problem with some equality
% 5.94/6.36  
% 5.94/6.36  
% 5.94/6.36  
% 5.94/6.36  Options Used:
% 5.94/6.36  
% 5.94/6.36  useres =            1
% 5.94/6.36  useparamod =        1
% 5.94/6.36  useeqrefl =         1
% 5.94/6.36  useeqfact =         1
% 5.94/6.36  usefactor =         1
% 5.94/6.36  usesimpsplitting =  0
% 5.94/6.36  usesimpdemod =      5
% 5.94/6.36  usesimpres =        3
% 5.94/6.36  
% 5.94/6.36  resimpinuse      =  1000
% 5.94/6.36  resimpclauses =     20000
% 5.94/6.36  substype =          eqrewr
% 5.94/6.36  backwardsubs =      1
% 5.94/6.36  selectoldest =      5
% 5.94/6.36  
% 5.94/6.36  litorderings [0] =  split
% 5.94/6.36  litorderings [1] =  extend the termordering, first sorting on arguments
% 5.94/6.36  
% 5.94/6.36  termordering =      kbo
% 5.94/6.36  
% 5.94/6.36  litapriori =        0
% 5.94/6.36  termapriori =       1
% 5.94/6.36  litaposteriori =    0
% 5.94/6.36  termaposteriori =   0
% 5.94/6.36  demodaposteriori =  0
% 5.94/6.36  ordereqreflfact =   0
% 5.94/6.36  
% 5.94/6.36  litselect =         negord
% 5.94/6.36  
% 5.94/6.36  maxweight =         15
% 5.94/6.36  maxdepth =          30000
% 5.94/6.36  maxlength =         115
% 5.94/6.36  maxnrvars =         195
% 5.94/6.36  excuselevel =       1
% 5.94/6.36  increasemaxweight = 1
% 5.94/6.36  
% 5.94/6.36  maxselected =       10000000
% 5.94/6.36  maxnrclauses =      10000000
% 5.94/6.36  
% 5.94/6.36  showgenerated =    0
% 5.94/6.36  showkept =         0
% 5.94/6.36  showselected =     0
% 5.94/6.36  showdeleted =      0
% 5.94/6.36  showresimp =       1
% 5.94/6.36  showstatus =       2000
% 5.94/6.36  
% 5.94/6.36  prologoutput =     1
% 5.94/6.36  nrgoals =          5000000
% 5.94/6.36  totalproof =       1
% 5.94/6.36  
% 5.94/6.36  Symbols occurring in the translation:
% 5.94/6.36  
% 5.94/6.36  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 5.94/6.36  .  [1, 2]      (w:1, o:31, a:1, s:1, b:0), 
% 5.94/6.36  !  [4, 1]      (w:0, o:26, a:1, s:1, b:0), 
% 5.94/6.36  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 5.94/6.36  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 5.94/6.36  equidistant  [41, 4]      (w:1, o:57, a:1, s:1, b:0), 
% 5.94/6.36  extension  [46, 4]      (w:1, o:58, a:1, s:1, b:0), 
% 5.94/6.36  between  [47, 3]      (w:1, o:56, a:1, s:1, b:0), 
% 5.94/6.36  'inner_pasch'  [53, 5]      (w:1, o:59, a:1, s:1, b:0), 
% 5.94/6.36  'lower_dimension_point_1'  [54, 0]      (w:1, o:20, a:1, s:1, b:0), 
% 5.94/6.36  'lower_dimension_point_2'  [55, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 5.94/6.36  'lower_dimension_point_3'  [56, 0]      (w:1, o:22, a:1, s:1, b:0), 
% 5.94/6.36  euclid1  [57, 5]      (w:1, o:60, a:1, s:1, b:0), 
% 5.94/6.36  euclid2  [58, 5]      (w:1, o:61, a:1, s:1, b:0), 
% 5.94/6.36  continuous  [59, 6]      (w:1, o:62, a:1, s:1, b:0), 
% 5.94/6.36  u  [60, 0]      (w:1, o:23, a:1, s:1, b:0), 
% 5.94/6.36  v  [61, 0]      (w:1, o:24, a:1, s:1, b:0), 
% 5.94/6.36  w  [62, 0]      (w:1, o:25, a:1, s:1, b:0).
% 5.94/6.36  
% 5.94/6.36  
% 5.94/6.36  Starting Search:
% 5.94/6.36  
% 5.94/6.36  Resimplifying inuse:
% 5.94/6.36  Done
% 5.94/6.36  
% 5.94/6.36  
% 5.94/6.36  Intermediate Status:
% 5.94/6.36  Generated:    13112
% 5.94/6.36  Kept:         2001
% 5.94/6.36  Inuse:        145
% 5.94/6.36  Deleted:      20
% 5.94/6.36  Deletedinuse: 0
% 5.94/6.36  
% 5.94/6.36  Resimplifying inuse:
% 5.94/6.36  Done
% 5.94/6.36  
% 5.94/6.36  Resimplifying inuse:
% 5.94/6.36  Done
% 5.94/6.36  
% 5.94/6.36  
% 5.94/6.36  Intermediate Status:
% 5.94/6.36  Generated:    33590
% 5.94/6.36  Kept:         4185
% 5.94/6.36  Inuse:        337
% 5.94/6.36  Deleted:      25
% 5.94/6.36  Deletedinuse: 1
% 5.94/6.36  
% 5.94/6.36  Resimplifying inuse:
% 5.94/6.36  Done
% 5.94/6.36  
% 5.94/6.36  Resimplifying inuse:
% 5.94/6.36  Done
% 5.94/6.36  
% 5.94/6.36  
% 5.94/6.36  Intermediate Status:
% 5.94/6.36  Generated:    53322
% 5.94/6.36  Kept:         6296
% 5.94/6.36  Inuse:        481
% 5.94/6.36  Deleted:      56
% 5.94/6.36  Deletedinuse: 1
% 5.94/6.36  
% 5.94/6.36  Resimplifying inuse:
% 5.94/6.36  Done
% 5.94/6.36  
% 5.94/6.36  Resimplifying inuse:
% 5.94/6.36  Done
% 5.94/6.36  
% 5.94/6.36  
% 5.94/6.36  Intermediate Status:
% 5.94/6.36  Generated:    216450
% 5.94/6.36  Kept:         8298
% 5.94/6.36  Inuse:        683
% 5.94/6.36  Deleted:      58
% 5.94/6.36  Deletedinuse: 1
% 5.94/6.36  
% 5.94/6.36  Resimplifying inuse:
% 5.94/6.36  Done
% 5.94/6.36  
% 5.94/6.36  Resimplifying inuse:
% 5.94/6.36  Done
% 5.94/6.36  
% 5.94/6.36  
% 5.94/6.36  Intermediate Status:
% 5.94/6.36  Generated:    297029
% 5.94/6.36  Kept:         10299
% 5.94/6.36  Inuse:        812
% 5.94/6.36  Deleted:      58
% 5.94/6.36  Deletedinuse: 1
% 5.94/6.36  
% 5.94/6.36  Resimplifying inuse:
% 5.94/6.36  Done
% 5.94/6.36  
% 5.94/6.36  Resimplifying inuse:
% 5.94/6.36  Done
% 5.94/6.36  
% 5.94/6.36  
% 5.94/6.36  Intermediate Status:
% 5.94/6.36  Generated:    344332
% 5.94/6.36  Kept:         12307
% 5.94/6.36  Inuse:        941
% 5.94/6.36  Deleted:      58
% 5.94/6.36  Deletedinuse: 1
% 5.94/6.36  
% 5.94/6.36  Resimplifying inuse:
% 5.94/6.36  Done
% 5.94/6.36  
% 5.94/6.36  Resimplifying inuse:
% 5.94/6.36  Done
% 5.94/6.36  
% 5.94/6.36  
% 5.94/6.36  Intermediate Status:
% 5.94/6.36  Generated:    373539
% 5.94/6.36  Kept:         14332
% 5.94/6.36  Inuse:        984
% 5.94/6.36  Deleted:      81
% 5.94/6.36  Deletedinuse: 9
% 5.94/6.36  
% 5.94/6.36  Resimplifying inuse:
% 5.94/6.36  Done
% 5.94/6.36  
% 5.94/6.36  Resimplifying inuse:
% 5.94/6.36  Done
% 5.94/6.36  
% 5.94/6.36  
% 5.94/6.36  Intermediate Status:
% 5.94/6.36  Generated:    432644
% 5.94/6.36  Kept:         16336
% 5.94/6.36  Inuse:        1079
% 5.94/6.36  Deleted:      174
% 5.94/6.36  Deletedinuse: 10
% 5.94/6.36  
% 5.94/6.36  Resimplifying inuse:
% 5.94/6.36  Done
% 5.94/6.36  
% 5.94/6.36  
% 5.94/6.36  Bliksems!, er is een bewijs:
% 5.94/6.36  % SZS status Unsatisfiable
% 5.94/6.36  % SZS output start Refutation
% 5.94/6.36  
% 5.94/6.36  clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 5.94/6.36  .
% 5.94/6.36  clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 5.94/6.36  .
% 5.94/6.36  clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 5.94/6.36  .
% 5.94/6.36  clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 5.94/6.36  .
% 5.94/6.36  clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y, 
% 5.94/6.36    'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 5.94/6.36  .
% 5.94/6.36  clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U, 
% 5.94/6.36    'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 5.94/6.36  .
% 5.94/6.36  clause( 18, [ between( u, v, w ) ] )
% 5.94/6.36  .
% 5.94/6.36  clause( 19, [ between( v, u, w ) ] )
% 5.94/6.36  .
% 5.94/6.36  clause( 20, [ ~( =( v, u ) ) ] )
% 5.94/6.36  .
% 5.94/6.36  clause( 65, [ ~( =( X, u ) ), ~( between( v, X, v ) ) ] )
% 5.94/6.36  .
% 5.94/6.36  clause( 79, [ ~( =( Y, X ) ), ~( between( v, Y, v ) ), ~( between( X, u, X
% 5.94/6.36     ) ) ] )
% 5.94/6.36  .
% 5.94/6.36  clause( 173, [ =( extension( Y, X, Z, Z ), X ) ] )
% 5.94/6.36  .
% 5.94/6.36  clause( 181, [ between( X, Y, Y ) ] )
% 5.94/6.36  .
% 5.94/6.36  clause( 288, [ ~( between( X, Y, w ) ), between( Y, 'inner_pasch'( X, Y, w
% 5.94/6.36    , u, v ), v ) ] )
% 5.94/6.36  .
% 5.94/6.36  clause( 356, [ ~( between( X, Y, Z ) ), ~( between( T, X, Z ) ), =( 
% 5.94/6.36    'inner_pasch'( X, Y, Z, X, T ), X ) ] )
% 5.94/6.36  .
% 5.94/6.36  clause( 2061, [ ~( =( v, X ) ), ~( between( X, u, X ) ) ] )
% 5.94/6.36  .
% 5.94/6.36  clause( 17321, [ ~( between( u, X, w ) ), between( X, u, v ) ] )
% 5.94/6.36  .
% 5.94/6.36  clause( 17428, [] )
% 5.94/6.36  .
% 5.94/6.36  
% 5.94/6.36  
% 5.94/6.36  % SZS output end Refutation
% 5.94/6.36  found a proof!
% 5.94/6.36  
% 5.94/6.36  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 5.94/6.36  
% 5.94/6.36  initialclauses(
% 5.94/6.36  [ clause( 17430, [ equidistant( X, Y, Y, X ) ] )
% 5.94/6.36  , clause( 17431, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 5.94/6.36    , W ) ), equidistant( Z, T, U, W ) ] )
% 5.94/6.36  , clause( 17432, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 5.94/6.36  , clause( 17433, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 5.94/6.36  , clause( 17434, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 5.94/6.36  , clause( 17435, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 5.94/6.36    , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 5.94/6.36     ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), 
% 5.94/6.36    equidistant( U, V0, W, V1 ) ] )
% 5.94/6.36  , clause( 17436, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 5.94/6.36  , clause( 17437, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), 
% 5.94/6.36    between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 5.94/6.36  , clause( 17438, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), 
% 5.94/6.36    between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 5.94/6.36  , clause( 17439, [ ~( between( 'lower_dimension_point_1', 
% 5.94/6.36    'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 5.94/6.36  , clause( 17440, [ ~( between( 'lower_dimension_point_2', 
% 255.33/255.71    'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 255.33/255.71  , clause( 17441, [ ~( between( 'lower_dimension_point_3', 
% 255.33/255.71    'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 255.33/255.71  , clause( 17442, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 255.33/255.71    , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, 
% 255.33/255.71    U, X ), between( U, X, T ), =( Y, Z ) ] )
% 255.33/255.71  , clause( 17443, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 255.33/255.71    Y ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 255.33/255.71  , clause( 17444, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 255.33/255.71    Y ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 255.33/255.71  , clause( 17445, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 255.33/255.71    Y ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ]
% 255.33/255.71     )
% 255.33/255.71  , clause( 17446, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 255.33/255.71    , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, 
% 255.33/255.71    continuous( X, Y, Z, W, T, U ), U ) ] )
% 255.33/255.71  , clause( 17447, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 255.33/255.71    , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 255.33/255.71    , W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 255.33/255.71  , clause( 17448, [ between( u, v, w ) ] )
% 255.33/255.71  , clause( 17449, [ between( v, u, w ) ] )
% 255.33/255.71  , clause( 17450, [ ~( =( u, v ) ) ] )
% 255.33/255.71  ] ).
% 255.33/255.71  
% 255.33/255.71  
% 255.33/255.71  
% 255.33/255.71  subsumption(
% 255.33/255.71  clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 255.33/255.71  , clause( 17432, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 255.33/255.71  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 255.33/255.71    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 255.33/255.71  
% 255.33/255.71  
% 255.33/255.71  subsumption(
% 255.33/255.71  clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 255.33/255.71  , clause( 17433, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 255.33/255.71  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 255.33/255.71    permutation( 0, [ ==>( 0, 0 )] ) ).
% 255.33/255.71  
% 255.33/255.71  
% 255.33/255.71  subsumption(
% 255.33/255.71  clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 255.33/255.71  , clause( 17434, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 255.33/255.71  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 255.33/255.71    permutation( 0, [ ==>( 0, 0 )] ) ).
% 255.33/255.71  
% 255.33/255.71  
% 255.33/255.71  subsumption(
% 255.33/255.71  clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 255.33/255.71  , clause( 17436, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 255.33/255.71  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 255.33/255.71     ), ==>( 1, 1 )] ) ).
% 255.33/255.71  
% 255.33/255.71  
% 255.33/255.71  subsumption(
% 255.33/255.71  clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y, 
% 255.33/255.71    'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 255.33/255.71  , clause( 17437, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), 
% 255.33/255.71    between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 255.33/255.71  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 255.33/255.71    , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 255.33/255.71     ).
% 255.33/255.71  
% 255.33/255.71  
% 255.33/255.71  subsumption(
% 255.33/255.71  clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U, 
% 255.33/255.71    'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 255.33/255.71  , clause( 17438, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), 
% 255.33/255.71    between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 255.33/255.71  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 255.33/255.71    , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 255.33/255.71     ).
% 255.33/255.71  
% 255.33/255.71  
% 255.33/255.71  subsumption(
% 255.33/255.71  clause( 18, [ between( u, v, w ) ] )
% 255.33/255.71  , clause( 17448, [ between( u, v, w ) ] )
% 255.33/255.71  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 255.33/255.71  
% 255.33/255.71  
% 255.33/255.71  subsumption(
% 255.33/255.71  clause( 19, [ between( v, u, w ) ] )
% 255.33/255.71  , clause( 17449, [ between( v, u, w ) ] )
% 255.33/255.71  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 255.33/255.71  
% 255.33/255.71  
% 255.33/255.71  eqswap(
% 255.33/255.71  clause( 17730, [ ~( =( v, u ) ) ] )
% 255.33/255.71  , clause( 17450, [ ~( =( u, v ) ) ] )
% 255.33/255.71  , 0, substitution( 0, [] )).
% 255.33/255.71  
% 255.33/255.71  
% 255.33/255.71  subsumption(
% 255.33/255.71  clause( 20, [ ~( =( v, u ) ) ] )
% 255.33/255.71  , clause( 17730, [ ~( =( v, u ) ) ] )
% 255.33/255.71  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 255.33/255.71  
% 255.33/255.71  
% 255.33/255.71  eqswap(
% 255.33/255.71  clause( 17732, [ ~( =( u, v ) ) ] )
% 255.33/255.71  , clause( 20, [ ~( =( v, u ) ) ] )
% 255.33/255.71  , 0, substitution( 0, [] )).
% 255.33/255.71  
% 255.33/255.71  
% 255.33/255.71  paramod(
% 255.33/255.71  clause( 41454, [ ~( =( u, X ) ), ~( between( v, X, v ) ) ] )
% 255.33/255.71  , clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 255.33/255.71  , 1, clause( 17732, [ ~( =( u, v ) ) ] )
% 255.33/255.71  , 0, 3, substitution( 0, [ :=( X, v ), :=( Y, X )] ), substitution( 1, [] )
% 255.33/255.71    ).
% 255.33/255.71  
% 255.33/255.71  
% 255.33/255.71  eqswap(
% 255.33/255.71  clause( 41606, [ ~(Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------