TSTP Solution File: GEO006-1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GEO006-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n005.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 02:50:44 EDT 2022

% Result   : Unsatisfiable 25.52s 25.92s
% Output   : Refutation 25.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GEO006-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.04/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n005.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 : Fri Jun 17 15:44:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 25.52/25.91  *** allocated 10000 integers for termspace/termends
% 25.52/25.91  *** allocated 10000 integers for clauses
% 25.52/25.91  *** allocated 10000 integers for justifications
% 25.52/25.91  Bliksem 1.12
% 25.52/25.91  
% 25.52/25.91  
% 25.52/25.91  Automatic Strategy Selection
% 25.52/25.91  
% 25.52/25.91  Clauses:
% 25.52/25.91  [
% 25.52/25.91     [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 25.52/25.91     [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X, Y, T ) ]
% 25.52/25.91    ,
% 25.52/25.91     [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between( 
% 25.52/25.91    X, Z, T ), between( X, T, Z ) ],
% 25.52/25.91     [ equidistant( X, Y, Y, X ) ],
% 25.52/25.91     [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 25.52/25.91     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ), 
% 25.52/25.91    equidistant( Z, T, U, W ) ],
% 25.52/25.91     [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( X, 
% 25.52/25.91    'outer_pasch'( Y, X, T, U, Z ), T ) ],
% 25.52/25.91     [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( U, Y, 
% 25.52/25.91    'outer_pasch'( Y, X, T, U, Z ) ) ],
% 25.52/25.91     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 25.52/25.91    X, U, euclid1( Z, X, T, U, Y ) ) ],
% 25.52/25.91     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 25.52/25.91    X, T, euclid2( Z, X, T, U, Y ) ) ],
% 25.52/25.91     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 25.52/25.91    euclid1( Z, X, T, U, Y ), Z, euclid2( Z, X, T, U, Y ) ) ],
% 25.52/25.91     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~( 
% 25.52/25.91    equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~( 
% 25.52/25.91    between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 25.52/25.91    , V0, W, V1 ) ],
% 25.52/25.91     [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 25.52/25.91     [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 25.52/25.91     [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2', 
% 25.52/25.91    'lower_dimension_point_3' ) ) ],
% 25.52/25.91     [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3', 
% 25.52/25.91    'lower_dimension_point_1' ) ) ],
% 25.52/25.91     [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1', 
% 25.52/25.91    'lower_dimension_point_2' ) ) ],
% 25.52/25.91     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~( 
% 25.52/25.91    equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ), 
% 25.52/25.91    between( U, X, T ), =( Y, Z ) ],
% 25.52/25.91     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~( 
% 25.52/25.91    between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X, 
% 25.52/25.91    continuous( Y, W, T, Z, U, X ) ) ],
% 25.52/25.91     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~( 
% 25.52/25.91    between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( Y
% 25.52/25.91    , W, T, Z, U, X ), U ) ],
% 25.52/25.91     [ ~( =( a, c ) ) ],
% 25.52/25.91     [ ~( =( a, d ) ) ],
% 25.52/25.91     [ ~( =( c, d ) ) ],
% 25.52/25.91     [ between( a, c, d ) ],
% 25.52/25.91     [ between( c, a, d ), between( a, d, c ) ]
% 25.52/25.91  ] .
% 25.52/25.91  
% 25.52/25.91  
% 25.52/25.91  percentage equality = 0.157143, percentage horn = 0.720000
% 25.52/25.91  This is a problem with some equality
% 25.52/25.91  
% 25.52/25.91  
% 25.52/25.91  
% 25.52/25.91  Options Used:
% 25.52/25.91  
% 25.52/25.91  useres =            1
% 25.52/25.91  useparamod =        1
% 25.52/25.91  useeqrefl =         1
% 25.52/25.91  useeqfact =         1
% 25.52/25.91  usefactor =         1
% 25.52/25.91  usesimpsplitting =  0
% 25.52/25.91  usesimpdemod =      5
% 25.52/25.91  usesimpres =        3
% 25.52/25.91  
% 25.52/25.91  resimpinuse      =  1000
% 25.52/25.91  resimpclauses =     20000
% 25.52/25.91  substype =          eqrewr
% 25.52/25.91  backwardsubs =      1
% 25.52/25.91  selectoldest =      5
% 25.52/25.91  
% 25.52/25.91  litorderings [0] =  split
% 25.52/25.91  litorderings [1] =  extend the termordering, first sorting on arguments
% 25.52/25.91  
% 25.52/25.91  termordering =      kbo
% 25.52/25.91  
% 25.52/25.91  litapriori =        0
% 25.52/25.91  termapriori =       1
% 25.52/25.91  litaposteriori =    0
% 25.52/25.91  termaposteriori =   0
% 25.52/25.91  demodaposteriori =  0
% 25.52/25.91  ordereqreflfact =   0
% 25.52/25.91  
% 25.52/25.91  litselect =         negord
% 25.52/25.91  
% 25.52/25.91  maxweight =         15
% 25.52/25.91  maxdepth =          30000
% 25.52/25.91  maxlength =         115
% 25.52/25.91  maxnrvars =         195
% 25.52/25.91  excuselevel =       1
% 25.52/25.91  increasemaxweight = 1
% 25.52/25.91  
% 25.52/25.91  maxselected =       10000000
% 25.52/25.91  maxnrclauses =      10000000
% 25.52/25.91  
% 25.52/25.91  showgenerated =    0
% 25.52/25.91  showkept =         0
% 25.52/25.91  showselected =     0
% 25.52/25.91  showdeleted =      0
% 25.52/25.91  showresimp =       1
% 25.52/25.91  showstatus =       2000
% 25.52/25.91  
% 25.52/25.91  prologoutput =     1
% 25.52/25.91  nrgoals =          5000000
% 25.52/25.91  totalproof =       1
% 25.52/25.91  
% 25.52/25.91  Symbols occurring in the translation:
% 25.52/25.91  
% 25.52/25.91  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 25.52/25.91  .  [1, 2]      (w:1, o:30, a:1, s:1, b:0), 
% 25.52/25.91  !  [4, 1]      (w:0, o:25, a:1, s:1, b:0), 
% 25.52/25.91  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 25.52/25.91  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 25.52/25.91  between  [41, 3]      (w:1, o:55, a:1, s:1, b:0), 
% 25.52/25.91  equidistant  [44, 4]      (w:1, o:56, a:1, s:1, b:0), 
% 25.52/25.91  'outer_pasch'  [47, 5]      (w:1, o:58, a:1, s:1, b:0), 
% 25.52/25.91  euclid1  [48, 5]      (w:1, o:59, a:1, s:1, b:0), 
% 25.52/25.91  euclid2  [49, 5]      (w:1, o:60, a:1, s:1, b:0), 
% 25.52/25.91  extension  [54, 4]      (w:1, o:57, a:1, s:1, b:0), 
% 25.52/25.91  'lower_dimension_point_1'  [55, 0]      (w:1, o:19, a:1, s:1, b:0), 
% 25.52/25.91  'lower_dimension_point_2'  [56, 0]      (w:1, o:20, a:1, s:1, b:0), 
% 25.52/25.91  'lower_dimension_point_3'  [57, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 25.52/25.91  continuous  [58, 6]      (w:1, o:61, a:1, s:1, b:0), 
% 25.52/25.91  a  [59, 0]      (w:1, o:22, a:1, s:1, b:0), 
% 25.52/25.91  c  [60, 0]      (w:1, o:23, a:1, s:1, b:0), 
% 25.52/25.91  d  [61, 0]      (w:1, o:24, a:1, s:1, b:0).
% 25.52/25.91  
% 25.52/25.91  
% 25.52/25.91  Starting Search:
% 25.52/25.91  
% 25.52/25.91  Resimplifying inuse:
% 25.52/25.91  Done
% 25.52/25.91  
% 25.52/25.91  
% 25.52/25.91  Intermediate Status:
% 25.52/25.91  Generated:    16237
% 25.52/25.91  Kept:         2001
% 25.52/25.91  Inuse:        163
% 25.52/25.91  Deleted:      37
% 25.52/25.91  Deletedinuse: 20
% 25.52/25.91  
% 25.52/25.91  Resimplifying inuse:
% 25.52/25.91  Done
% 25.52/25.91  
% 25.52/25.91  Resimplifying inuse:
% 25.52/25.91  Done
% 25.52/25.91  
% 25.52/25.91  
% 25.52/25.91  Intermediate Status:
% 25.52/25.91  Generated:    89701
% 25.52/25.91  Kept:         4002
% 25.52/25.91  Inuse:        406
% 25.52/25.91  Deleted:      48
% 25.52/25.91  Deletedinuse: 22
% 25.52/25.91  
% 25.52/25.91  Resimplifying inuse:
% 25.52/25.91  Done
% 25.52/25.91  
% 25.52/25.91  Resimplifying inuse:
% 25.52/25.91  Done
% 25.52/25.91  
% 25.52/25.91  
% 25.52/25.91  Intermediate Status:
% 25.52/25.91  Generated:    103154
% 25.52/25.91  Kept:         6009
% 25.52/25.91  Inuse:        444
% 25.52/25.91  Deleted:      51
% 25.52/25.91  Deletedinuse: 22
% 25.52/25.91  
% 25.52/25.91  Resimplifying inuse:
% 25.52/25.91  Done
% 25.52/25.91  
% 25.52/25.91  Resimplifying inuse:
% 25.52/25.91  Done
% 25.52/25.91  
% 25.52/25.91  
% 25.52/25.91  Intermediate Status:
% 25.52/25.91  Generated:    152851
% 25.52/25.91  Kept:         8023
% 25.52/25.91  Inuse:        711
% 25.52/25.91  Deleted:      78
% 25.52/25.91  Deletedinuse: 22
% 25.52/25.91  
% 25.52/25.91  Resimplifying inuse:
% 25.52/25.91  Done
% 25.52/25.91  
% 25.52/25.91  Resimplifying inuse:
% 25.52/25.91  Done
% 25.52/25.91  
% 25.52/25.91  
% 25.52/25.91  Intermediate Status:
% 25.52/25.91  Generated:    181252
% 25.52/25.91  Kept:         10024
% 25.52/25.91  Inuse:        860
% 25.52/25.91  Deleted:      79
% 25.52/25.91  Deletedinuse: 22
% 25.52/25.91  
% 25.52/25.91  Resimplifying inuse:
% 25.52/25.91  Done
% 25.52/25.91  
% 25.52/25.91  Resimplifying inuse:
% 25.52/25.91  Done
% 25.52/25.91  
% 25.52/25.91  
% 25.52/25.91  Intermediate Status:
% 25.52/25.91  Generated:    247180
% 25.52/25.91  Kept:         12028
% 25.52/25.91  Inuse:        1007
% 25.52/25.91  Deleted:      94
% 25.52/25.91  Deletedinuse: 26
% 25.52/25.91  
% 25.52/25.91  Resimplifying inuse:
% 25.52/25.91  Done
% 25.52/25.91  
% 25.52/25.91  Resimplifying inuse:
% 25.52/25.91  Done
% 25.52/25.91  
% 25.52/25.91  
% 25.52/25.91  Intermediate Status:
% 25.52/25.91  Generated:    320425
% 25.52/25.91  Kept:         14041
% 25.52/25.91  Inuse:        1161
% 25.52/25.91  Deleted:      100
% 25.52/25.91  Deletedinuse: 26
% 25.52/25.91  
% 25.52/25.91  Resimplifying inuse:
% 25.52/25.91  Done
% 25.52/25.91  
% 25.52/25.91  Resimplifying inuse:
% 25.52/25.91  Done
% 25.52/25.91  
% 25.52/25.91  
% 25.52/25.91  Intermediate Status:
% 25.52/25.91  Generated:    380415
% 25.52/25.91  Kept:         16051
% 25.52/25.91  Inuse:        1326
% 25.52/25.91  Deleted:      165
% 25.52/25.91  Deletedinuse: 28
% 25.52/25.91  
% 25.52/25.91  Resimplifying inuse:
% 25.52/25.91  Done
% 25.52/25.91  
% 25.52/25.91  Resimplifying inuse:
% 25.52/25.91  Done
% 25.52/25.91  
% 25.52/25.91  
% 25.52/25.91  Intermediate Status:
% 25.52/25.91  Generated:    713166
% 25.52/25.91  Kept:         18053
% 25.52/25.91  Inuse:        1516
% 25.52/25.91  Deleted:      166
% 25.52/25.91  Deletedinuse: 28
% 25.52/25.92  
% 25.52/25.92  Resimplifying inuse:
% 25.52/25.92  Done
% 25.52/25.92  
% 25.52/25.92  
% 25.52/25.92  Intermediate Status:
% 25.52/25.92  Generated:    905532
% 25.52/25.92  Kept:         20100
% 25.52/25.92  Inuse:        1684
% 25.52/25.92  Deleted:      214
% 25.52/25.92  Deletedinuse: 28
% 25.52/25.92  
% 25.52/25.92  Resimplifying inuse:
% 25.52/25.92  Done
% 25.52/25.92  
% 25.52/25.92  Resimplifying clauses:
% 25.52/25.92  Done
% 25.52/25.92  
% 25.52/25.92  Resimplifying inuse:
% 25.52/25.92  Done
% 25.52/25.92  
% 25.52/25.92  
% 25.52/25.92  Intermediate Status:
% 25.52/25.92  Generated:    1575571
% 25.52/25.92  Kept:         22114
% 25.52/25.92  Inuse:        1856
% 25.52/25.92  Deleted:      489
% 25.52/25.92  Deletedinuse: 28
% 25.52/25.92  
% 25.52/25.92  Resimplifying inuse:
% 25.52/25.92  Done
% 25.52/25.92  
% 25.52/25.92  Resimplifying inuse:
% 25.52/25.92  Done
% 25.52/25.92  
% 25.52/25.92  
% 25.52/25.92  Bliksems!, er is een bewijs:
% 25.52/25.92  % SZS status Unsatisfiable
% 25.52/25.92  % SZS output start Refutation
% 25.52/25.92  
% 25.52/25.92  clause( 0, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 25.52/25.92  .
% 25.52/25.92  clause( 1, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X, 
% 25.52/25.92    Y, T ) ] )
% 25.52/25.92  .
% 25.52/25.92  clause( 4, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 25.52/25.92  .
% 25.52/25.92  clause( 6, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( X, 
% 25.52/25.92    'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 25.52/25.92  .
% 25.52/25.92  clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( U, 
% 25.52/25.92    Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 25.52/25.92  .
% 25.52/25.92  clause( 12, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 25.52/25.92  .
% 25.52/25.92  clause( 13, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 25.52/25.92  .
% 25.52/25.92  clause( 20, [ ~( =( c, a ) ) ] )
% 25.52/25.92  .
% 25.52/25.92  clause( 22, [ ~( =( d, c ) ) ] )
% 25.52/25.92  .
% 25.52/25.92  clause( 23, [ between( a, c, d ) ] )
% 25.52/25.92  .
% 25.52/25.92  clause( 24, [ between( c, a, d ), between( a, d, c ) ] )
% 25.52/25.92  .
% 25.52/25.92  clause( 55, [ ~( =( X, a ) ), ~( between( X, c, X ) ) ] )
% 25.52/25.92  .
% 25.52/25.92  clause( 58, [ ~( =( X, c ) ), ~( between( d, X, d ) ) ] )
% 25.52/25.92  .
% 25.52/25.92  clause( 64, [ ~( between( a, c, a ) ) ] )
% 25.52/25.92  .
% 25.52/25.92  clause( 77, [ ~( between( a, c, X ) ), ~( between( c, a, X ) ) ] )
% 25.52/25.92  .
% 25.52/25.92  clause( 296, [ ~( =( X, c ) ), ~( between( d, X, Y ) ), ~( between( X, d, Y
% 25.52/25.92     ) ) ] )
% 25.52/25.92  .
% 25.52/25.92  clause( 314, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), =( 
% 25.52/25.92    'outer_pasch'( Y, X, X, T, Z ), X ) ] )
% 25.52/25.92  .
% 25.52/25.92  clause( 373, [ ~( between( X, Y, c ) ), between( d, Y, 'outer_pasch'( Y, X
% 25.52/25.92    , a, d, c ) ) ] )
% 25.52/25.92  .
% 25.52/25.92  clause( 909, [ =( extension( Y, X, Z, Z ), X ) ] )
% 25.52/25.92  .
% 25.52/25.92  clause( 925, [ between( X, Y, Y ) ] )
% 25.52/25.92  .
% 25.52/25.92  clause( 2096, [ between( a, d, c ) ] )
% 25.52/25.92  .
% 25.52/25.92  clause( 10753, [ ~( between( Y, X, T ) ), ~( between( Y, T, Z ) ), between( 
% 25.52/25.92    Z, X, Y ) ] )
% 25.52/25.92  .
% 25.52/25.92  clause( 13948, [ ~( between( a, X, c ) ), between( d, X, a ) ] )
% 25.52/25.92  .
% 25.52/25.92  clause( 13951, [ ~( between( a, X, c ) ), ~( =( X, c ) ), ~( between( X, d
% 25.52/25.92    , a ) ) ] )
% 25.52/25.92  .
% 25.52/25.92  clause( 23273, [ ~( between( a, d, X ) ), ~( between( a, X, Y ) ), ~( 
% 25.52/25.92    between( a, Y, c ) ), ~( =( Y, c ) ) ] )
% 25.52/25.92  .
% 25.52/25.92  clause( 23925, [ ~( between( a, c, c ) ) ] )
% 25.52/25.92  .
% 25.52/25.92  clause( 23926, [] )
% 25.52/25.92  .
% 25.52/25.92  
% 25.52/25.92  
% 25.52/25.92  % SZS output end Refutation
% 25.52/25.92  found a proof!
% 25.52/25.92  
% 25.52/25.92  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 25.52/25.92  
% 25.52/25.92  initialclauses(
% 25.52/25.92  [ clause( 23928, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 25.52/25.92  , clause( 23929, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), 
% 25.52/25.92    between( X, Y, T ) ] )
% 25.52/25.92  , clause( 23930, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, 
% 25.52/25.92    Y ), between( X, Z, T ), between( X, T, Z ) ] )
% 25.52/25.92  , clause( 23931, [ equidistant( X, Y, Y, X ) ] )
% 25.52/25.92  , clause( 23932, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 25.52/25.92  , clause( 23933, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 25.52/25.92    , W ) ), equidistant( Z, T, U, W ) ] )
% 25.52/25.92  , clause( 23934, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), 
% 25.52/25.92    between( X, 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 25.52/25.92  , clause( 23935, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), 
% 25.52/25.92    between( U, Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 25.52/25.92  , clause( 23936, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 25.52/25.92    Y ), between( X, U, euclid1( Z, X, T, U, Y ) ) ] )
% 25.52/25.92  , clause( 23937, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 25.52/25.92    Y ), between( X, T, euclid2( Z, X, T, U, Y ) ) ] )
% 25.52/25.92  , clause( 23938, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 25.52/25.92    Y ), between( euclid1( Z, X, T, U, Y ), Z, euclid2( Z, X, T, U, Y ) ) ]
% 25.52/25.92     )
% 25.52/25.92  , clause( 23939, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 25.52/25.92    , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 25.52/25.92     ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), 
% 25.52/25.92    equidistant( U, V0, W, V1 ) ] )
% 25.52/25.92  , clause( 23940, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 25.52/25.92  , clause( 23941, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 25.52/25.92  , clause( 23942, [ ~( between( 'lower_dimension_point_1', 
% 25.52/25.92    'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 25.52/25.92  , clause( 23943, [ ~( between( 'lower_dimension_point_2', 
% 25.52/25.92    'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 25.52/25.92  , clause( 23944, [ ~( between( 'lower_dimension_point_3', 
% 25.52/25.92    'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 25.52/25.92  , clause( 23945, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 25.52/25.92    , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, 
% 25.52/25.92    U, X ), between( U, X, T ), =( Y, Z ) ] )
% 25.52/25.92  , clause( 23946, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 25.52/25.92    , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 25.52/25.92    , W, X, continuous( Y, W, T, Z, U, X ) ) ] )
% 25.52/25.92  , clause( 23947, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 25.52/25.92    , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, 
% 25.52/25.92    continuous( Y, W, T, Z, U, X ), U ) ] )
% 25.52/25.92  , clause( 23948, [ ~( =( a, c ) ) ] )
% 25.52/25.92  , clause( 23949, [ ~( =( a, d ) ) ] )
% 25.52/25.92  , clause( 23950, [ ~( =( c, d ) ) ] )
% 25.52/25.92  , clause( 23951, [ between( a, c, d ) ] )
% 25.52/25.92  , clause( 23952, [ between( c, a, d ), between( a, d, c ) ] )
% 25.52/25.92  ] ).
% 25.52/25.92  
% 25.52/25.92  
% 25.52/25.92  
% 25.52/25.92  subsumption(
% 25.52/25.92  clause( 0, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 25.52/25.92  , clause( 23928, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 25.52/25.92  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 25.52/25.92     ), ==>( 1, 1 )] ) ).
% 25.52/25.92  
% 25.52/25.92  
% 25.52/25.92  subsumption(
% 25.52/25.92  clause( 1, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X, 
% 25.52/25.92    Y, T ) ] )
% 25.52/25.92  , clause( 23929, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), 
% 25.52/25.92    between( X, Y, T ) ] )
% 25.52/25.92  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 25.52/25.92    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 25.52/25.92  
% 25.52/25.92  
% 25.52/25.92  subsumption(
% 25.52/25.92  clause( 4, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 25.52/25.92  , clause( 23932, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 25.52/25.92  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 25.52/25.92    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 25.52/25.92  
% 25.52/25.92  
% 25.52/25.92  subsumption(
% 25.52/25.92  clause( 6, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( X, 
% 25.52/25.92    'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 25.52/25.92  , clause( 23934, [ ~( between( X, YCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------