TSTP Solution File: GEO052-3 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GEO052-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n019.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 02:51:13 EDT 2022

% Result   : Unsatisfiable 100.76s 101.17s
% Output   : Refutation 100.76s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GEO052-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.14  % Command  : bliksem %s
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % DateTime : Sat Jun 18 09:43:54 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.71/1.14  *** allocated 10000 integers for termspace/termends
% 0.71/1.14  *** allocated 10000 integers for clauses
% 0.71/1.14  *** allocated 10000 integers for justifications
% 0.71/1.14  Bliksem 1.12
% 0.71/1.14  
% 0.71/1.14  
% 0.71/1.14  Automatic Strategy Selection
% 0.71/1.14  
% 0.71/1.14  Clauses:
% 0.71/1.14  [
% 0.71/1.14     [ equidistant( X, Y, Y, X ) ],
% 0.71/1.14     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ), 
% 0.71/1.14    equidistant( Z, T, U, W ) ],
% 0.71/1.14     [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.71/1.14     [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.71/1.14     [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.71/1.14     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~( 
% 0.71/1.14    equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~( 
% 0.71/1.14    between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.71/1.14    , V0, W, V1 ) ],
% 0.71/1.14     [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.71/1.14     [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y, 
% 0.71/1.14    'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.71/1.14     [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U, 
% 0.71/1.14    'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.71/1.14     [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2', 
% 0.71/1.14    'lower_dimension_point_3' ) ) ],
% 0.71/1.14     [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3', 
% 0.71/1.14    'lower_dimension_point_1' ) ) ],
% 0.71/1.14     [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1', 
% 0.71/1.14    'lower_dimension_point_2' ) ) ],
% 0.71/1.14     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~( 
% 0.71/1.14    equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ), 
% 0.71/1.14    between( U, X, T ), =( Y, Z ) ],
% 0.71/1.14     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 0.71/1.14    X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.71/1.14     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 0.71/1.14    X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.71/1.14     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 0.71/1.14    euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.71/1.14     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~( 
% 0.71/1.14    between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.71/1.14    , Y, Z, W, T, U ), U ) ],
% 0.71/1.14     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~( 
% 0.71/1.14    between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X, 
% 0.71/1.14    continuous( X, Y, Z, W, T, U ) ) ],
% 0.71/1.14     [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ],
% 0.71/1.14     [ =( insertion( X, Y, Z, T ), extension( extension( Y, X, 
% 0.71/1.14    'lower_dimension_point_1', 'lower_dimension_point_2' ), X, Z, T ) ) ]
% 0.71/1.14    ,
% 0.71/1.14     [ equidistant( X, Y, X, Y ) ],
% 0.71/1.14     [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ],
% 0.71/1.14     [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ],
% 0.71/1.14     [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z ) ],
% 0.71/1.14     [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z ) ],
% 0.71/1.14     [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X ) ],
% 0.71/1.14     [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y ) ],
% 0.71/1.14     [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X ) ],
% 0.71/1.14     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U, W ) ), 
% 0.71/1.14    equidistant( X, Y, U, W ) ],
% 0.71/1.14     [ =( X, extension( Y, X, Z, Z ) ) ],
% 0.71/1.14     [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ],
% 0.71/1.14     [ between( X, Y, reflection( X, Y ) ) ],
% 0.71/1.14     [ equidistant( X, reflection( Y, X ), Y, X ) ],
% 0.71/1.14     [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ],
% 0.71/1.14     [ =( X, reflection( X, X ) ) ],
% 0.71/1.14     [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ],
% 0.71/1.14     [ equidistant( X, X, Y, Y ) ],
% 0.71/1.14     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~( 
% 0.71/1.14    between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X, U, Z, W )
% 0.71/1.14     ],
% 0.71/1.14     [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~( equidistant( Y, Z
% 0.71/1.14    , Y, T ) ), =( X, Y ), =( Z, T ) ],
% 0.71/1.14     [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, Y, Y, Z ) ) ]
% 0.71/1.14    ,
% 0.71/1.14     [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y ), extension( 
% 0.71/1.14    U, W, Z, T ) ), =( U, W ) ],
% 0.71/1.14     [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ), =( X, Y ) ]
% 0.71/1.14    ,
% 0.71/1.14     [ equidistant( X, Y, X, reflection( reflection( Y, X ), X ) ) ],
% 0.71/1.14     [ =( X, reflection( reflection( X, Y ), Y ) ) ],
% 0.71/1.14     [ between( X, Y, Y ) ],
% 0.71/1.14     [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z ) ],
% 8.96/9.35     [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ],
% 8.96/9.35     [ between( X, X, Y ) ],
% 8.96/9.35     [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ) ],
% 8.96/9.35     [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, Z ) ],
% 8.96/9.35     [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ), =( Y, Z )
% 8.96/9.35     ],
% 8.96/9.35     [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X, Y ), =( Y, Z )
% 8.96/9.35     ],
% 8.96/9.35     [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, Z ) ]
% 8.96/9.35    ,
% 8.96/9.35     [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( Y, Z, T ) ]
% 8.96/9.35    ,
% 8.96/9.35     [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Z, T ), 
% 8.96/9.35    =( Y, Z ) ],
% 8.96/9.35     [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, T ), 
% 8.96/9.35    =( Y, Z ) ],
% 8.96/9.35     [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X, T, Z ) ]
% 8.96/9.35    ,
% 8.96/9.35     [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( X, Y, T ) ]
% 8.96/9.35    ,
% 8.96/9.35     [ ~( =( 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ],
% 8.96/9.35     [ ~( =( 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ],
% 8.96/9.35     [ ~( =( 'lower_dimension_point_1', 'lower_dimension_point_3' ) ) ],
% 8.96/9.35     [ ~( =( X, extension( Y, X, 'lower_dimension_point_1', 
% 8.96/9.35    'lower_dimension_point_2' ) ) ) ],
% 8.96/9.35     [ equidistant( X, extension( Y, X, 'lower_dimension_point_1', 
% 8.96/9.35    'lower_dimension_point_2' ), Z, extension( T, Z, 
% 8.96/9.35    'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ],
% 8.96/9.35     [ between( X, Y, extension( X, Y, 'lower_dimension_point_1', 
% 8.96/9.35    'lower_dimension_point_2' ) ) ],
% 8.96/9.35     [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), ~( between( X, W, T
% 8.96/9.35     ) ), between( W, 'inner_pasch'( U, 'inner_pasch'( X, W, T, U, Z ), X, Y
% 8.96/9.35    , Z ), Z ), between( Y, 'inner_pasch'( U, 'inner_pasch'( X, W, T, U, Z )
% 8.96/9.35    , X, Y, Z ), U ) ],
% 8.96/9.35     [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, X, T ) ), ~( 
% 8.96/9.35    equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ],
% 8.96/9.35     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, U, Z, W ) ), ~( 
% 8.96/9.35    equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) ), ~( 
% 8.96/9.35    between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T, V1
% 8.96/9.35     ) ],
% 8.96/9.35     [ ~( between( X, Y, Z ) ), ~( between( T, U, W ) ), ~( equidistant( X, Y
% 8.96/9.35    , T, U ) ), ~( equidistant( X, Z, T, W ) ), equidistant( Y, Z, U, W ) ]
% 8.96/9.35    ,
% 8.96/9.35     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~( 
% 8.96/9.35    equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) ), ~( 
% 8.96/9.35    between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T, V1
% 8.96/9.35     ) ],
% 8.96/9.35     [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, T ) ), ~( 
% 8.96/9.35    equidistant( Z, Y, Z, T ) ), =( Y, T ) ],
% 8.96/9.35     [ equidistant( X, Y, Z, insertion( Z, T, X, Y ) ) ],
% 8.96/9.35     [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ), between( T, 
% 8.96/9.35    insertion( T, U, X, Y ), U ) ],
% 8.96/9.35     [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ), equidistant( 
% 8.96/9.35    Y, Z, insertion( T, U, X, Y ), U ) ],
% 8.96/9.35     [ ~( between( X, Y, Z ) ), =( Y, insertion( X, Z, X, Y ) ) ],
% 8.96/9.35     [ ~( equidistant( X, Y, Z, T ) ), =( insertion( U, W, X, Y ), insertion( 
% 8.96/9.35    U, W, Z, T ) ) ],
% 8.96/9.35     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~( 
% 8.96/9.35    equidistant( X, U, Z, W ) ), ~( between( X, Y, U ) ), between( Z, T, W )
% 8.96/9.35     ],
% 8.96/9.35     [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between( 
% 8.96/9.35    X, Z, T ), between( X, T, Z ) ],
% 8.96/9.35     [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between( 
% 8.96/9.35    Y, Z, T ), between( Y, T, Z ) ],
% 8.96/9.35     [ ~( between( X, Y, Z ) ), ~( between( T, Y, Z ) ), =( Y, Z ), between( 
% 8.96/9.35    X, T, Y ), between( T, X, Y ) ],
% 8.96/9.35     [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between( X, Y, T ), 
% 8.96/9.35    between( X, T, Y ) ],
% 8.96/9.35     [ between( u, v, x ) ],
% 8.96/9.35     [ between( u, w, x ) ],
% 8.96/9.35     [ ~( between( v, w, x ) ) ],
% 8.96/9.35     [ ~( between( w, v, x ) ) ]
% 8.96/9.35  ] .
% 8.96/9.35  
% 8.96/9.35  
% 8.96/9.35  percentage equality = 0.196262, percentage horn = 0.787500
% 8.96/9.35  This is a problem with some equality
% 8.96/9.35  
% 8.96/9.35  
% 8.96/9.35  
% 8.96/9.35  Options Used:
% 8.96/9.35  
% 8.96/9.35  useres =            1
% 8.96/9.35  useparamod =        1
% 8.96/9.35  useeqrefl =         1
% 8.96/9.35  useeqfact =         1
% 8.96/9.35  usefactor =         1
% 8.96/9.35  usesimpsplitting =  0
% 8.96/9.35  usesimpdemod =      5
% 8.96/9.35  usesimpres =        3
% 8.96/9.35  
% 8.96/9.35  resimpinuse      =  1000
% 8.96/9.35  resimpclauses =     20000
% 8.96/9.35  substype =          eqrewr
% 100.76/101.17  backwardsubs =      1
% 100.76/101.17  selectoldest =      5
% 100.76/101.17  
% 100.76/101.17  litorderings [0] =  split
% 100.76/101.17  litorderings [1] =  extend the termordering, first sorting on arguments
% 100.76/101.17  
% 100.76/101.17  termordering =      kbo
% 100.76/101.17  
% 100.76/101.17  litapriori =        0
% 100.76/101.17  termapriori =       1
% 100.76/101.17  litaposteriori =    0
% 100.76/101.17  termaposteriori =   0
% 100.76/101.17  demodaposteriori =  0
% 100.76/101.17  ordereqreflfact =   0
% 100.76/101.17  
% 100.76/101.17  litselect =         negord
% 100.76/101.17  
% 100.76/101.17  maxweight =         15
% 100.76/101.17  maxdepth =          30000
% 100.76/101.17  maxlength =         115
% 100.76/101.17  maxnrvars =         195
% 100.76/101.17  excuselevel =       1
% 100.76/101.17  increasemaxweight = 1
% 100.76/101.17  
% 100.76/101.17  maxselected =       10000000
% 100.76/101.17  maxnrclauses =      10000000
% 100.76/101.17  
% 100.76/101.17  showgenerated =    0
% 100.76/101.17  showkept =         0
% 100.76/101.17  showselected =     0
% 100.76/101.17  showdeleted =      0
% 100.76/101.17  showresimp =       1
% 100.76/101.17  showstatus =       2000
% 100.76/101.17  
% 100.76/101.17  prologoutput =     1
% 100.76/101.17  nrgoals =          5000000
% 100.76/101.17  totalproof =       1
% 100.76/101.17  
% 100.76/101.17  Symbols occurring in the translation:
% 100.76/101.17  
% 100.76/101.17  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 100.76/101.17  .  [1, 2]      (w:1, o:34, a:1, s:1, b:0), 
% 100.76/101.17  !  [4, 1]      (w:0, o:29, a:1, s:1, b:0), 
% 100.76/101.17  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 100.76/101.17  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 100.76/101.17  equidistant  [41, 4]      (w:1, o:61, a:1, s:1, b:0), 
% 100.76/101.17  extension  [46, 4]      (w:1, o:62, a:1, s:1, b:0), 
% 100.76/101.17  between  [47, 3]      (w:1, o:60, a:1, s:1, b:0), 
% 100.76/101.17  'inner_pasch'  [53, 5]      (w:1, o:64, a:1, s:1, b:0), 
% 100.76/101.17  'lower_dimension_point_1'  [54, 0]      (w:1, o:22, a:1, s:1, b:0), 
% 100.76/101.17  'lower_dimension_point_2'  [55, 0]      (w:1, o:23, a:1, s:1, b:0), 
% 100.76/101.17  'lower_dimension_point_3'  [56, 0]      (w:1, o:24, a:1, s:1, b:0), 
% 100.76/101.17  euclid1  [57, 5]      (w:1, o:65, a:1, s:1, b:0), 
% 100.76/101.17  euclid2  [58, 5]      (w:1, o:66, a:1, s:1, b:0), 
% 100.76/101.17  continuous  [59, 6]      (w:1, o:67, a:1, s:1, b:0), 
% 100.76/101.17  reflection  [60, 2]      (w:1, o:59, a:1, s:1, b:0), 
% 100.76/101.17  insertion  [63, 4]      (w:1, o:63, a:1, s:1, b:0), 
% 100.76/101.17  u  [64, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 100.76/101.17  v  [65, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 100.76/101.17  x  [66, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 100.76/101.17  w  [67, 0]      (w:1, o:27, a:1, s:1, b:0).
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Starting Search:
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    8999
% 100.76/101.17  Kept:         2004
% 100.76/101.17  Inuse:        116
% 100.76/101.17  Deleted:      0
% 100.76/101.17  Deletedinuse: 0
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    18937
% 100.76/101.17  Kept:         4272
% 100.76/101.17  Inuse:        161
% 100.76/101.17  Deleted:      0
% 100.76/101.17  Deletedinuse: 0
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    28919
% 100.76/101.17  Kept:         6280
% 100.76/101.17  Inuse:        195
% 100.76/101.17  Deleted:      1
% 100.76/101.17  Deletedinuse: 0
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    41754
% 100.76/101.17  Kept:         8300
% 100.76/101.17  Inuse:        228
% 100.76/101.17  Deleted:      1
% 100.76/101.17  Deletedinuse: 0
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    53228
% 100.76/101.17  Kept:         10365
% 100.76/101.17  Inuse:        263
% 100.76/101.17  Deleted:      3
% 100.76/101.17  Deletedinuse: 0
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    71871
% 100.76/101.17  Kept:         12399
% 100.76/101.17  Inuse:        303
% 100.76/101.17  Deleted:      6
% 100.76/101.17  Deletedinuse: 0
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    87672
% 100.76/101.17  Kept:         14442
% 100.76/101.17  Inuse:        363
% 100.76/101.17  Deleted:      12
% 100.76/101.17  Deletedinuse: 0
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    102378
% 100.76/101.17  Kept:         16464
% 100.76/101.17  Inuse:        411
% 100.76/101.17  Deleted:      18
% 100.76/101.17  Deletedinuse: 0
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    111917
% 100.76/101.17  Kept:         18499
% 100.76/101.17  Inuse:        439
% 100.76/101.17  Deleted:      19
% 100.76/101.17  Deletedinuse: 0
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying clauses:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    124291
% 100.76/101.17  Kept:         20517
% 100.76/101.17  Inuse:        470
% 100.76/101.17  Deleted:      187
% 100.76/101.17  Deletedinuse: 0
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    137936
% 100.76/101.17  Kept:         22524
% 100.76/101.17  Inuse:        532
% 100.76/101.17  Deleted:      187
% 100.76/101.17  Deletedinuse: 0
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    153500
% 100.76/101.17  Kept:         24551
% 100.76/101.17  Inuse:        588
% 100.76/101.17  Deleted:      187
% 100.76/101.17  Deletedinuse: 0
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    169834
% 100.76/101.17  Kept:         26569
% 100.76/101.17  Inuse:        649
% 100.76/101.17  Deleted:      187
% 100.76/101.17  Deletedinuse: 0
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    185966
% 100.76/101.17  Kept:         28590
% 100.76/101.17  Inuse:        711
% 100.76/101.17  Deleted:      187
% 100.76/101.17  Deletedinuse: 0
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    201353
% 100.76/101.17  Kept:         30717
% 100.76/101.17  Inuse:        767
% 100.76/101.17  Deleted:      187
% 100.76/101.17  Deletedinuse: 0
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    215841
% 100.76/101.17  Kept:         32745
% 100.76/101.17  Inuse:        810
% 100.76/101.17  Deleted:      187
% 100.76/101.17  Deletedinuse: 0
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    233233
% 100.76/101.17  Kept:         34755
% 100.76/101.17  Inuse:        875
% 100.76/101.17  Deleted:      187
% 100.76/101.17  Deletedinuse: 0
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    252783
% 100.76/101.17  Kept:         36786
% 100.76/101.17  Inuse:        958
% 100.76/101.17  Deleted:      189
% 100.76/101.17  Deletedinuse: 0
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    268699
% 100.76/101.17  Kept:         38825
% 100.76/101.17  Inuse:        1013
% 100.76/101.17  Deleted:      191
% 100.76/101.17  Deletedinuse: 2
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying clauses:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    280738
% 100.76/101.17  Kept:         40841
% 100.76/101.17  Inuse:        1049
% 100.76/101.17  Deleted:      294
% 100.76/101.17  Deletedinuse: 2
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    294087
% 100.76/101.17  Kept:         42862
% 100.76/101.17  Inuse:        1089
% 100.76/101.17  Deleted:      294
% 100.76/101.17  Deletedinuse: 2
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    305905
% 100.76/101.17  Kept:         44880
% 100.76/101.17  Inuse:        1124
% 100.76/101.17  Deleted:      294
% 100.76/101.17  Deletedinuse: 2
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    318745
% 100.76/101.17  Kept:         46894
% 100.76/101.17  Inuse:        1163
% 100.76/101.17  Deleted:      294
% 100.76/101.17  Deletedinuse: 2
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    443999
% 100.76/101.17  Kept:         48906
% 100.76/101.17  Inuse:        1211
% 100.76/101.17  Deleted:      294
% 100.76/101.17  Deletedinuse: 2
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    540632
% 100.76/101.17  Kept:         50910
% 100.76/101.17  Inuse:        1254
% 100.76/101.17  Deleted:      294
% 100.76/101.17  Deletedinuse: 2
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    648132
% 100.76/101.17  Kept:         52972
% 100.76/101.17  Inuse:        1298
% 100.76/101.17  Deleted:      294
% 100.76/101.17  Deletedinuse: 2
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    728319
% 100.76/101.17  Kept:         55004
% 100.76/101.17  Inuse:        1339
% 100.76/101.17  Deleted:      294
% 100.76/101.17  Deletedinuse: 2
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    775483
% 100.76/101.17  Kept:         57016
% 100.76/101.17  Inuse:        1386
% 100.76/101.17  Deleted:      294
% 100.76/101.17  Deletedinuse: 2
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    819729
% 100.76/101.17  Kept:         59056
% 100.76/101.17  Inuse:        1433
% 100.76/101.17  Deleted:      294
% 100.76/101.17  Deletedinuse: 2
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying clauses:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    865132
% 100.76/101.17  Kept:         61090
% 100.76/101.17  Inuse:        1476
% 100.76/101.17  Deleted:      494
% 100.76/101.17  Deletedinuse: 2
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    915910
% 100.76/101.17  Kept:         63121
% 100.76/101.17  Inuse:        1526
% 100.76/101.17  Deleted:      494
% 100.76/101.17  Deletedinuse: 2
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Intermediate Status:
% 100.76/101.17  Generated:    962365
% 100.76/101.17  Kept:         65152
% 100.76/101.17  Inuse:        1572
% 100.76/101.17  Deleted:      494
% 100.76/101.17  Deletedinuse: 2
% 100.76/101.17  
% 100.76/101.17  Resimplifying inuse:
% 100.76/101.17  Done
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  Bliksems!, er is een bewijs:
% 100.76/101.17  % SZS status Unsatisfiable
% 100.76/101.17  % SZS output start Refutation
% 100.76/101.17  
% 100.76/101.17  clause( 33, [ ~( =( X, Y ) ), =( reflection( X, Y ), Y ) ] )
% 100.76/101.17  .
% 100.76/101.17  clause( 34, [ =( reflection( X, X ), X ) ] )
% 100.76/101.17  .
% 100.76/101.17  clause( 43, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 100.76/101.17  .
% 100.76/101.17  clause( 46, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 100.76/101.17  .
% 100.76/101.17  clause( 75, [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between( X
% 100.76/101.17    , Y, T ), between( X, T, Y ) ] )
% 100.76/101.17  .
% 100.76/101.17  clause( 76, [ between( u, v, x ) ] )
% 100.76/101.17  .
% 100.76/101.17  clause( 77, [ between( u, w, x ) ] )
% 100.76/101.17  .
% 100.76/101.17  clause( 78, [ ~( between( v, w, x ) ) ] )
% 100.76/101.17  .
% 100.76/101.17  clause( 79, [ ~( between( w, v, x ) ) ] )
% 100.76/101.17  .
% 100.76/101.17  clause( 743, [ between( x, v, u ) ] )
% 100.76/101.17  .
% 100.76/101.17  clause( 744, [ between( x, w, u ) ] )
% 100.76/101.17  .
% 100.76/101.17  clause( 745, [ ~( between( x, w, v ) ) ] )
% 100.76/101.17  .
% 100.76/101.17  clause( 746, [ ~( between( x, v, w ) ) ] )
% 100.76/101.17  .
% 100.76/101.17  clause( 2269, [ ~( =( X, Y ) ), =( Y, X ) ] )
% 100.76/101.17  .
% 100.76/101.17  clause( 3605, [ between( x, X, u ), ~( =( X, v ) ) ] )
% 100.76/101.17  .
% 100.76/101.17  clause( 11753, [ ~( between( x, v, X ) ), ~( between( x, w, X ) ) ] )
% 100.76/101.17  .
% 100.76/101.17  clause( 66245, [] )
% 100.76/101.17  .
% 100.76/101.17  
% 100.76/101.17  
% 100.76/101.17  % SZS output end Refutation
% 100.76/101.17  found a proof!
% 100.76/101.17  
% 100.76/101.17  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 100.76/101.17  
% 100.76/101.17  initialclauses(
% 100.76/101.17  [ clause( 66247, [ equidistant( X, Y, Y, X ) ] )
% 100.76/101.17  , clause( 66248, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 100.76/101.17    , W ) ), equidistant( Z, T, U, W ) ] )
% 100.76/101.17  , clause( 66249, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 100.76/101.17  , clause( 66250, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 100.76/101.17  , clause( 66251, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 100.76/101.17  , clause( 66252, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 100.76/101.17    , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 100.76/101.17     ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), 
% 100.76/101.17    equidistant( U, V0, W, V1 ) ] )
% 100.76/101.17  , clause( 66253, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 100.76/101.17  , clause( 66254, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), 
% 100.76/101.17    between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 100.76/101.17  , clause( 66255, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), 
% 100.76/101.17    between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 100.76/101.17  , clause( 66256, [ ~( between( 'lower_dimension_point_1', 
% 100.76/101.17    'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 100.76/101.17  , clause( 66257, [ ~( between( 'lower_dimension_point_2', 
% 100.76/101.17    'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 100.76/101.17  , clause( 66258, [ ~( between( 'lower_dimension_point_3', 
% 100.76/101.17    'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 100.76/101.17  , clause( 66259, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 100.76/101.17    , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, 
% 100.76/101.17    U, X ), between( U, X, T ), =( Y, Z ) ] )
% 100.76/101.17  , clause( 66260, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 100.76/101.17    Y ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 100.76/101.17  , clause( 66261, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 100.76/101.17    Y ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 100.76/101.17  , clause( 66262, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 100.76/101.17    Y ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ]
% 100.76/101.17     )
% 100.76/101.17  , clause( 66263, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 100.76/101.17    , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, 
% 100.76/101.17    continuous( X, Y, Z, W, T, U ), U ) ] )
% 100.76/101.17  , clause( 66264, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 100.76/101.17    , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 100.76/101.17    , W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 100.76/101.17  , clause( 66265, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 100.76/101.17  , clause( 66266, [ =( insertion( X, Y, Z, T ), extension( extension( Y, X, 
% 100.76/101.17    'lower_dimension_point_1', 'lower_dimension_point_2' ), X, Z, T ) ) ] )
% 100.76/101.17  , clause( 66267, [ equidistant( X, Y, X, Y ) ] )
% 100.76/101.17  , clause( 66268, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y
% 100.76/101.17     ) ] )
% 100.76/101.17  , clause( 66269, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T
% 100.76/101.17     ) ] )
% 100.76/101.17  , clause( 66270, [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z
% 100.76/101.17     ) ] )
% 100.76/101.17  , clause( 66271, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z
% 100.76/101.17     ) ] )
% 100.76/101.17  , clause( 66272, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X
% 100.76/101.17     ) ] )
% 100.76/101.17  , clause( 66273, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y
% 100.76/101.17     ) ] )
% 100.76/101.17  , clause( 66274, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X
% 100.76/101.17     ) ] )
% 100.76/101.17  , clause( 66275, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U
% 100.76/101.17    , W ) ), equidistant( X, Y, U, W ) ] )
% 100.76/101.17  , clause( 66276, [ =( X, extension( Y, X, Z, Z ) ) ] )
% 100.76/101.17  , clause( 66277, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X )
% 100.76/101.17     ] )
% 100.76/101.17  , clause( 66278, [ between( X, Y, reflection( X, Y ) ) ] )
% 100.76/101.17  , clause( 66279, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 100.76/101.17  , clause( 66280, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 100.76/101.17  , clause( 66281, [ =( X, reflection( X, X ) ) ] )
% 100.76/101.17  , clause( 66282, [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ] )
% 100.76/101.17  , clause( 66283, [ equidistant( X, X, Y, Y ) ] )
% 100.76/101.17  , clause( 66284, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 100.76/101.17    , W ) ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X
% 100.76/101.17    , U, Z, W ) ] )
% 100.76/101.17  , clause( 66285, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~( 
% 100.76/101.17    equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 100.76/101.17  , clause( 66286, [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, 
% 100.76/101.17    Y, Y, Z ) ) ] )
% 100.76/101.17  , clause( 66287, [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y
% 100.76/101.17     ), extension( U, W, Z, T ) ), =( U, W ) ] )
% 100.76/101.17  , clause( 66288, [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ), 
% 100.76/101.17    =( X, Y ) ] )
% 100.76/101.17  , clause( 66289, [ equidistant( X, Y, X, reflection( reflection( Y, X ), X
% 100.76/101.17     ) ) ] )
% 100.76/101.17  , clause( 66290, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 100.76/101.17  , clause( 66291, [ between( X, Y, Y ) ] )
% 100.76/101.17  , clause( 66292, [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, 
% 100.76/101.17    Z ) ] )
% 100.76/101.17  , clause( 66293, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 100.76/101.17  , clause( 66294, [ between( X, X, Y ) ] )
% 100.76/101.17  , clause( 66295, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, 
% 100.76/101.17    Y ) ] )
% 100.76/101.17  , clause( 66296, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, 
% 100.76/101.17    Z ) ] )
% 100.76/101.17  , clause( 66297, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, 
% 100.76/101.17    Y ), =( Y, Z ) ] )
% 100.76/101.17  , clause( 66298, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X, 
% 100.76/101.17    Y ), =( Y, Z ) ] )
% 100.76/101.17  , clause( 66299, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), 
% 100.76/101.17    between( X, Y, Z ) ] )
% 100.76/101.17  , clause( 66300, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), 
% 100.76/101.17    between( Y, Z, T ) ] )
% 100.76/101.17  , clause( 66301, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), 
% 100.76/101.17    between( X, Z, T ), =( Y, Z ) ] )
% 100.76/101.17  , clause( 66302, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), 
% 100.76/101.17    between( X, Y, T ), =( Y, Z ) ] )
% 100.76/101.17  , clause( 66303, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), 
% 100.76/101.17    between( X, T, Z ) ] )
% 100.76/101.17  , clause( 66304, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), 
% 100.76/101.17    between( X, Y, T ) ] )
% 100.76/101.17  , clause( 66305, [ ~( =( 'lower_dimension_point_1', 
% 100.76/101.17    'lower_dimension_point_2' ) ) ] )
% 100.76/101.17  , clause( 66306, [ ~( =( 'lower_dimension_point_2', 
% 100.76/101.17    'lower_dimension_point_3' ) ) ] )
% 100.76/101.17  , clause( 66307, [ ~( =( 'lower_dimension_point_1', 
% 100.76/101.17    'lower_dimension_point_3' ) ) ] )
% 100.76/101.17  , clause( 66308, [ ~( =( X, extension( Y, X, 'lower_dimension_point_1', 
% 100.76/101.17    'lower_dimension_point_2' ) ) ) ] )
% 100.76/101.17  , clause( 66309, [ equidistant( X, extension( Y, X, 
% 100.76/101.17    'lower_dimension_point_1', 'lower_dimension_point_2' ), Z, extension( T, 
% 100.76/101.17    Z, 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 100.76/101.17  , clause( 66310, [ between( X, Y, extension( X, Y, 
% 100.76/101.17    'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 100.76/101.17  , clause( 66311, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), ~( 
% 100.76/101.17    between( X, W, T ) ), between( W, 'inner_pasch'( U, 'inner_pasch'( X, W, 
% 100.76/101.17    T, U, Z ), X, Y, Z ), Z ), between( Y, 'inner_pasch'( U, 'inner_pasch'( X
% 100.76/101.17    , W, T, U, Z ), X, Y, Z ), U ) ] )
% 100.76/101.17  , clause( 66312, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, X, T ) )
% 100.76/101.17    , ~( equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 100.76/101.17  , clause( 66313, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, U, Z
% 100.76/101.17    , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 )
% 100.76/101.17     ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0
% 100.76/101.17    , T, V1 ) ] )
% 100.76/101.17  , clause( 66314, [ ~( between( X, Y, Z ) ), ~( between( T, U, W ) ), ~( 
% 100.76/101.17    equidistant( X, Y, T, U ) ), ~( equidistant( X, Z, T, W ) ), equidistant( 
% 100.76/101.17    Y, Z, U, W ) ] )
% 100.76/101.17  , clause( 66315, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 100.76/101.17    , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 )
% 100.76/101.17     ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0
% 100.76/101.17    , T, V1 ) ] )
% 100.76/101.17  , clause( 66316, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, T ) )
% 100.76/101.17    , ~( equidistant( Z, Y, Z, T ) ), =( Y, T ) ] )
% 100.76/101.17  , clause( 66317, [ equidistant( X, Y, Z, insertion( Z, T, X, Y ) ) ] )
% 100.76/101.17  , clause( 66318, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) )
% 100.76/101.17    , between( T, insertion( T, U, X, Y ), U ) ] )
% 100.76/101.17  , clause( 66319, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) )
% 100.76/101.17    , equidistant( Y, Z, insertion( T, U, X, Y ), U ) ] )
% 100.76/101.17  , clause( 66320, [ ~( between( X, Y, Z ) ), =( Y, insertion( X, Z, X, Y ) )
% 100.76/101.18     ] )
% 100.76/101.18  , clause( 66321, [ ~( equidistant( X, Y, Z, T ) ), =( insertion( U, W, X, Y
% 100.76/101.18     ), insertion( U, W, Z, T ) ) ] )
% 100.76/101.18  , clause( 66322, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 100.76/101.18    , W ) ), ~( equidistant( X, U, Z, W ) ), ~( between( X, Y, U ) ), between( 
% 100.76/101.18    Z, T, W ) ] )
% 100.76/101.18  , clause( 66323, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, 
% 100.76/101.18    Y ), between( X, Z, T ), between( X, T, Z ) ] )
% 100.76/101.18  , clause( 66324, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, 
% 100.76/101.18    Y ), between( Y, Z, T ), between( Y, T, Z ) ] )
% 100.76/101.18  , clause( 66325, [ ~( between( X, Y, Z ) ), ~( between( T, Y, Z ) ), =( Y, 
% 100.76/101.18    Z ), between( X, T, Y ), between( T, X, Y ) ] )
% 100.76/101.18  , clause( 66326, [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), 
% 100.76/101.18    between( X, Y, T ), between( X, T, Y ) ] )
% 100.76/101.18  , clause( 66327, [ between( u, v, x ) ] )
% 100.76/101.18  , clause( 66328, [ between( u, w, x ) ] )
% 100.76/101.18  , clause( 66329, [ ~( between( v, w, x ) ) ] )
% 100.76/101.18  , clause( 66330, [ ~( between( w, v, x ) ) ] )
% 100.76/101.18  ] ).
% 100.76/101.18  
% 100.76/101.18  
% 100.76/101.18  
% 100.76/101.18  eqswap(
% 100.76/101.18  clause( 66395, [ =( reflection( Y, X ), X ), ~( =( Y, X ) ) ] )
% 100.76/101.18  , clause( 66280, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 100.76/101.18  , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 100.76/101.18  
% 100.76/101.18  
% 100.76/101.18  subsumption(
% 100.76/101.18  clause( 33, [ ~( =( X, Y ) ), =( reflection( X, Y ), Y ) ] )
% 100.76/101.18  , clause( 66395, [ =( reflection( Y, X ), X ), ~( =( Y, X ) ) ] )
% 100.76/101.18  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 100.76/101.18     ), ==>( 1, 0 )] ) ).
% 100.76/101.18  
% 100.76/101.18  
% 100.76/101.18  eqswap(
% 100.76/101.18  clause( 66463, [ =( reflection( X, X ), X ) ] )
% 100.76/101.18  , clause( 66281, [ =( X, reflection( X, X ) ) ] )
% 100.76/101.18  , 0, substitution( 0, [ :=( X, X )] )).
% 100.76/101.18  
% 100.76/101.18  
% 100.76/101.18  subsumption(
% 100.76/101.18  clause( 34, [ =( reflection( X, X ), X ) ] )
% 100.76/101.18  , clause( 66463, [ =( reflection( X, X ), X ) ] )
% 100.76/101.18  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.18  
% 100.76/101.18  
% 100.76/101.18  eqswap(
% 100.76/101.18  clause( 66556, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 100.76/101.18  , clause( 66290, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 100.76/101.18  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 100.76/101.18  
% 100.76/101.18  
% 100.76/101.18  subsumption(
% 100.76/101.18  clause( 43, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 100.76/101.18  , clause( 66556, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 100.76/101.18  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 100.76/101.18     )] ) ).
% 100.76/101.18  
% 100.76/101.18  
% 100.76/101.18  subsumption(
% 100.76/101.18  clause( 46, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 100.76/101.18  , clause( 66293, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 100.76/101.18  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 100.76/101.18    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 100.76/101.18  
% 100.76/101.18  
% 100.76/101.18  subsumption(
% 100.76/101.18  clause( 75, [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between( X
% 100.76/101.18    , Y, T ), between( X, T, Y ) ] )
% 100.76/101.18  , clause( 66326, [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), 
% 100.76/101.18    between( X, Y, T ), between( X, T, Y ) ] )
% 100.76/101.18  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 100.76/101.18    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 100.76/101.18     ).
% 100.76/101.18  
% 100.76/101.18  
% 100.76/101.18  subsumption(
% 100.76/101.18  clause( 76, [ between( u, v, x ) ] )
% 100.76/101.18  , clause( 66327, [ between( u, v, x ) ] )
% 100.76/101.18  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.18  
% 100.76/101.18  
% 100.76/101.18  subsumption(
% 100.76/101.18  clause( 77, [ between( u, w, x ) ] )
% 100.76/101.18  , clause( 66328, [ between( u, w, x ) ] )
% 100.76/101.18  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.18  
% 100.76/101.18  
% 100.76/101.18  subsumption(
% 100.76/101.18  clause( 78, [ ~( between( v, w, x ) ) ] )
% 100.76/101.18  , clause( 66329, [ ~( between( v, w, x ) ) ] )
% 100.76/101.18  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.18  
% 100.76/101.18  
% 100.76/101.18  subsumption(
% 100.76/101.18  clause( 79, [ ~( between( w, v, x ) ) ] )
% 100.76/101.18  , clause( 66330, [ ~( between( w, v, x ) ) ] )
% 100.76/101.18  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.18  
% 100.76/101.18  
% 100.76/101.18  resolution(
% 100.76/101.18  clause( 67686, [ between( x, v, u ) ] )
% 100.76/101.18  , clause( 46, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 100.76/101.18  , 0, clause( 76, [ between( u, v, x ) ] )
% 100.76/101.18  , 0, substitution( 0, [ :=( X, u ), :=( Y, v ), :=( Z, x )] ), 
% 100.76/101.18    substitution( 1, [] )).
% 100.76/101.18  
% 100.76/101.18  
% 100.76/101.18  subsumption(
% 100.76/101.18  clause( 743, [ between( x, v, u ) ] )
% 100.76/101.18  , clause( 67686, [ between( x, v, u ) ] )
% 100.76/101.18  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 100.76/101.18  
% 100.76/101.18  
% 100.76/101.18  resolution(
% 100.76/101.18  clause( 67687, [ between( x, w, u ) ] )
% 100.76/101.18  , clause( 46, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 100.76/101.18  , 0, clause( 77, [ between( u, w, x ) ] )
% 100.76/101.18  , 0, substitution( 0, [ :=( X, u ), :=( Y, w ), :=( Z, x )] ), 
% 100.76/101.18    substitution( 1, [] )Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------