TSTP Solution File: GEO043-3 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GEO043-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n007.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 02:51:07 EDT 2022

% Result   : Unsatisfiable 83.43s 83.81s
% Output   : Refutation 83.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO043-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n007.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 : Sat Jun 18 10:38:58 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 2.15/2.52  *** allocated 10000 integers for termspace/termends
% 2.15/2.52  *** allocated 10000 integers for clauses
% 2.15/2.52  *** allocated 10000 integers for justifications
% 2.15/2.52  Bliksem 1.12
% 2.15/2.52  
% 2.15/2.52  
% 2.15/2.52  Automatic Strategy Selection
% 2.15/2.52  
% 2.15/2.52  Clauses:
% 2.15/2.52  [
% 2.15/2.52     [ equidistant( X, Y, Y, X ) ],
% 2.15/2.52     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ), 
% 2.15/2.52    equidistant( Z, T, U, W ) ],
% 2.15/2.52     [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 2.15/2.52     [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 2.15/2.52     [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 2.15/2.52     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~( 
% 2.15/2.52    equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~( 
% 2.15/2.52    between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 2.15/2.52    , V0, W, V1 ) ],
% 2.15/2.52     [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 2.15/2.52     [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y, 
% 2.15/2.52    'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 2.15/2.52     [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U, 
% 2.15/2.52    'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 2.15/2.52     [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2', 
% 2.15/2.52    'lower_dimension_point_3' ) ) ],
% 2.15/2.52     [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3', 
% 2.15/2.52    'lower_dimension_point_1' ) ) ],
% 2.15/2.52     [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1', 
% 2.15/2.52    'lower_dimension_point_2' ) ) ],
% 2.15/2.52     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~( 
% 2.15/2.52    equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ), 
% 2.15/2.52    between( U, X, T ), =( Y, Z ) ],
% 2.15/2.52     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 2.15/2.52    X, T, euclid1( X, T, Y, U, Z ) ) ],
% 2.15/2.52     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 2.15/2.52    X, U, euclid2( X, T, Y, U, Z ) ) ],
% 2.15/2.52     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 2.15/2.52    euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 2.15/2.52     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~( 
% 2.15/2.52    between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 2.15/2.52    , Y, Z, W, T, U ), U ) ],
% 2.15/2.52     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~( 
% 2.15/2.52    between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X, 
% 2.15/2.52    continuous( X, Y, Z, W, T, U ) ) ],
% 2.15/2.52     [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ],
% 2.15/2.52     [ equidistant( X, Y, X, Y ) ],
% 2.15/2.52     [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ],
% 2.15/2.52     [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ],
% 2.15/2.52     [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z ) ],
% 2.15/2.52     [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z ) ],
% 2.15/2.52     [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X ) ],
% 2.15/2.52     [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y ) ],
% 2.15/2.52     [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X ) ],
% 2.15/2.52     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U, W ) ), 
% 2.15/2.52    equidistant( X, Y, U, W ) ],
% 2.15/2.52     [ =( X, extension( Y, X, Z, Z ) ) ],
% 2.15/2.52     [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ],
% 2.15/2.52     [ between( X, Y, reflection( X, Y ) ) ],
% 2.15/2.52     [ equidistant( X, reflection( Y, X ), Y, X ) ],
% 2.15/2.52     [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ],
% 2.15/2.52     [ =( X, reflection( X, X ) ) ],
% 2.15/2.52     [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ],
% 2.15/2.52     [ equidistant( X, X, Y, Y ) ],
% 2.15/2.52     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~( 
% 2.15/2.52    between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X, U, Z, W )
% 2.15/2.52     ],
% 2.15/2.52     [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~( equidistant( Y, Z
% 2.15/2.52    , Y, T ) ), =( X, Y ), =( Z, T ) ],
% 2.15/2.52     [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, Y, Y, Z ) ) ]
% 2.15/2.52    ,
% 2.15/2.52     [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y ), extension( 
% 2.15/2.52    U, W, Z, T ) ), =( U, W ) ],
% 2.15/2.52     [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ), =( X, Y ) ]
% 2.15/2.52    ,
% 2.15/2.52     [ equidistant( X, Y, X, reflection( reflection( Y, X ), X ) ) ],
% 2.15/2.52     [ =( X, reflection( reflection( X, Y ), Y ) ) ],
% 2.15/2.52     [ between( X, Y, Y ) ],
% 2.15/2.52     [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z ) ],
% 2.15/2.52     [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ],
% 2.15/2.52     [ between( X, X, Y ) ],
% 2.15/2.52     [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ) ],
% 83.43/83.81     [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, Z ) ],
% 83.43/83.81     [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ), =( Y, Z )
% 83.43/83.81     ],
% 83.43/83.81     [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X, Y ), =( Y, Z )
% 83.43/83.81     ],
% 83.43/83.81     [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, Z ) ]
% 83.43/83.81    ,
% 83.43/83.81     [ between( u, v, w ) ],
% 83.43/83.81     [ between( u, w, x ) ],
% 83.43/83.81     [ ~( between( v, w, x ) ) ]
% 83.43/83.81  ] .
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  percentage equality = 0.221311, percentage horn = 0.826923
% 83.43/83.81  This is a problem with some equality
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Options Used:
% 83.43/83.81  
% 83.43/83.81  useres =            1
% 83.43/83.81  useparamod =        1
% 83.43/83.81  useeqrefl =         1
% 83.43/83.81  useeqfact =         1
% 83.43/83.81  usefactor =         1
% 83.43/83.81  usesimpsplitting =  0
% 83.43/83.81  usesimpdemod =      5
% 83.43/83.81  usesimpres =        3
% 83.43/83.81  
% 83.43/83.81  resimpinuse      =  1000
% 83.43/83.81  resimpclauses =     20000
% 83.43/83.81  substype =          eqrewr
% 83.43/83.81  backwardsubs =      1
% 83.43/83.81  selectoldest =      5
% 83.43/83.81  
% 83.43/83.81  litorderings [0] =  split
% 83.43/83.81  litorderings [1] =  extend the termordering, first sorting on arguments
% 83.43/83.81  
% 83.43/83.81  termordering =      kbo
% 83.43/83.81  
% 83.43/83.81  litapriori =        0
% 83.43/83.81  termapriori =       1
% 83.43/83.81  litaposteriori =    0
% 83.43/83.81  termaposteriori =   0
% 83.43/83.81  demodaposteriori =  0
% 83.43/83.81  ordereqreflfact =   0
% 83.43/83.81  
% 83.43/83.81  litselect =         negord
% 83.43/83.81  
% 83.43/83.81  maxweight =         15
% 83.43/83.81  maxdepth =          30000
% 83.43/83.81  maxlength =         115
% 83.43/83.81  maxnrvars =         195
% 83.43/83.81  excuselevel =       1
% 83.43/83.81  increasemaxweight = 1
% 83.43/83.81  
% 83.43/83.81  maxselected =       10000000
% 83.43/83.81  maxnrclauses =      10000000
% 83.43/83.81  
% 83.43/83.81  showgenerated =    0
% 83.43/83.81  showkept =         0
% 83.43/83.81  showselected =     0
% 83.43/83.81  showdeleted =      0
% 83.43/83.81  showresimp =       1
% 83.43/83.81  showstatus =       2000
% 83.43/83.81  
% 83.43/83.81  prologoutput =     1
% 83.43/83.81  nrgoals =          5000000
% 83.43/83.81  totalproof =       1
% 83.43/83.81  
% 83.43/83.81  Symbols occurring in the translation:
% 83.43/83.81  
% 83.43/83.81  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 83.43/83.81  .  [1, 2]      (w:1, o:34, a:1, s:1, b:0), 
% 83.43/83.81  !  [4, 1]      (w:0, o:29, a:1, s:1, b:0), 
% 83.43/83.81  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 83.43/83.81  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 83.43/83.81  equidistant  [41, 4]      (w:1, o:61, a:1, s:1, b:0), 
% 83.43/83.81  extension  [46, 4]      (w:1, o:62, a:1, s:1, b:0), 
% 83.43/83.81  between  [47, 3]      (w:1, o:60, a:1, s:1, b:0), 
% 83.43/83.81  'inner_pasch'  [53, 5]      (w:1, o:63, a:1, s:1, b:0), 
% 83.43/83.81  'lower_dimension_point_1'  [54, 0]      (w:1, o:22, a:1, s:1, b:0), 
% 83.43/83.81  'lower_dimension_point_2'  [55, 0]      (w:1, o:23, a:1, s:1, b:0), 
% 83.43/83.81  'lower_dimension_point_3'  [56, 0]      (w:1, o:24, a:1, s:1, b:0), 
% 83.43/83.81  euclid1  [57, 5]      (w:1, o:64, a:1, s:1, b:0), 
% 83.43/83.81  euclid2  [58, 5]      (w:1, o:65, a:1, s:1, b:0), 
% 83.43/83.81  continuous  [59, 6]      (w:1, o:66, a:1, s:1, b:0), 
% 83.43/83.81  reflection  [60, 2]      (w:1, o:59, a:1, s:1, b:0), 
% 83.43/83.81  u  [63, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 83.43/83.81  v  [64, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 83.43/83.81  w  [65, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 83.43/83.81  x  [66, 0]      (w:1, o:28, a:1, s:1, b:0).
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Starting Search:
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    9614
% 83.43/83.81  Kept:         2004
% 83.43/83.81  Inuse:        126
% 83.43/83.81  Deleted:      0
% 83.43/83.81  Deletedinuse: 0
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    18485
% 83.43/83.81  Kept:         4018
% 83.43/83.81  Inuse:        159
% 83.43/83.81  Deleted:      0
% 83.43/83.81  Deletedinuse: 0
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    29694
% 83.43/83.81  Kept:         6039
% 83.43/83.81  Inuse:        211
% 83.43/83.81  Deleted:      3
% 83.43/83.81  Deletedinuse: 0
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    40120
% 83.43/83.81  Kept:         8071
% 83.43/83.81  Inuse:        271
% 83.43/83.81  Deleted:      8
% 83.43/83.81  Deletedinuse: 0
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    49332
% 83.43/83.81  Kept:         10090
% 83.43/83.81  Inuse:        326
% 83.43/83.81  Deleted:      12
% 83.43/83.81  Deletedinuse: 0
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    59588
% 83.43/83.81  Kept:         12118
% 83.43/83.81  Inuse:        381
% 83.43/83.81  Deleted:      12
% 83.43/83.81  Deletedinuse: 0
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    71540
% 83.43/83.81  Kept:         14126
% 83.43/83.81  Inuse:        442
% 83.43/83.81  Deleted:      12
% 83.43/83.81  Deletedinuse: 0
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    80818
% 83.43/83.81  Kept:         16145
% 83.43/83.81  Inuse:        472
% 83.43/83.81  Deleted:      22
% 83.43/83.81  Deletedinuse: 0
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    91162
% 83.43/83.81  Kept:         18169
% 83.43/83.81  Inuse:        537
% 83.43/83.81  Deleted:      22
% 83.43/83.81  Deletedinuse: 0
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying clauses:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    103542
% 83.43/83.81  Kept:         20191
% 83.43/83.81  Inuse:        603
% 83.43/83.81  Deleted:      102
% 83.43/83.81  Deletedinuse: 0
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    117749
% 83.43/83.81  Kept:         22676
% 83.43/83.81  Inuse:        664
% 83.43/83.81  Deleted:      102
% 83.43/83.81  Deletedinuse: 0
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    128158
% 83.43/83.81  Kept:         25536
% 83.43/83.81  Inuse:        679
% 83.43/83.81  Deleted:      102
% 83.43/83.81  Deletedinuse: 0
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    138973
% 83.43/83.81  Kept:         27792
% 83.43/83.81  Inuse:        719
% 83.43/83.81  Deleted:      102
% 83.43/83.81  Deletedinuse: 0
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    151010
% 83.43/83.81  Kept:         29819
% 83.43/83.81  Inuse:        773
% 83.43/83.81  Deleted:      102
% 83.43/83.81  Deletedinuse: 0
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    163158
% 83.43/83.81  Kept:         31830
% 83.43/83.81  Inuse:        822
% 83.43/83.81  Deleted:      102
% 83.43/83.81  Deletedinuse: 0
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    180671
% 83.43/83.81  Kept:         33832
% 83.43/83.81  Inuse:        907
% 83.43/83.81  Deleted:      104
% 83.43/83.81  Deletedinuse: 0
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    194632
% 83.43/83.81  Kept:         35836
% 83.43/83.81  Inuse:        969
% 83.43/83.81  Deleted:      106
% 83.43/83.81  Deletedinuse: 2
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    209793
% 83.43/83.81  Kept:         37859
% 83.43/83.81  Inuse:        1031
% 83.43/83.81  Deleted:      106
% 83.43/83.81  Deletedinuse: 2
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    225782
% 83.43/83.81  Kept:         39884
% 83.43/83.81  Inuse:        1093
% 83.43/83.81  Deleted:      106
% 83.43/83.81  Deletedinuse: 2
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying clauses:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    322655
% 83.43/83.81  Kept:         41912
% 83.43/83.81  Inuse:        1156
% 83.43/83.81  Deleted:      223
% 83.43/83.81  Deletedinuse: 2
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    518094
% 83.43/83.81  Kept:         43916
% 83.43/83.81  Inuse:        1248
% 83.43/83.81  Deleted:      223
% 83.43/83.81  Deletedinuse: 2
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    715092
% 83.43/83.81  Kept:         45932
% 83.43/83.81  Inuse:        1348
% 83.43/83.81  Deleted:      223
% 83.43/83.81  Deletedinuse: 2
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    791030
% 83.43/83.81  Kept:         47949
% 83.43/83.81  Inuse:        1426
% 83.43/83.81  Deleted:      223
% 83.43/83.81  Deletedinuse: 2
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    859847
% 83.43/83.81  Kept:         49956
% 83.43/83.81  Inuse:        1500
% 83.43/83.81  Deleted:      223
% 83.43/83.81  Deletedinuse: 2
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    920512
% 83.43/83.81  Kept:         51999
% 83.43/83.81  Inuse:        1579
% 83.43/83.81  Deleted:      223
% 83.43/83.81  Deletedinuse: 2
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    972684
% 83.43/83.81  Kept:         54003
% 83.43/83.81  Inuse:        1625
% 83.43/83.81  Deleted:      223
% 83.43/83.81  Deletedinuse: 2
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    1011696
% 83.43/83.81  Kept:         56192
% 83.43/83.81  Inuse:        1667
% 83.43/83.81  Deleted:      223
% 83.43/83.81  Deletedinuse: 2
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    1044512
% 83.43/83.81  Kept:         58207
% 83.43/83.81  Inuse:        1706
% 83.43/83.81  Deleted:      223
% 83.43/83.81  Deletedinuse: 2
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying clauses:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    1083456
% 83.43/83.81  Kept:         60224
% 83.43/83.81  Inuse:        1744
% 83.43/83.81  Deleted:      475
% 83.43/83.81  Deletedinuse: 2
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    1119908
% 83.43/83.81  Kept:         62233
% 83.43/83.81  Inuse:        1788
% 83.43/83.81  Deleted:      475
% 83.43/83.81  Deletedinuse: 2
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Intermediate Status:
% 83.43/83.81  Generated:    1184827
% 83.43/83.81  Kept:         64245
% 83.43/83.81  Inuse:        1871
% 83.43/83.81  Deleted:      475
% 83.43/83.81  Deletedinuse: 2
% 83.43/83.81  
% 83.43/83.81  Resimplifying inuse:
% 83.43/83.81  Done
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  Bliksems!, er is een bewijs:
% 83.43/83.81  % SZS status Unsatisfiable
% 83.43/83.81  % SZS output start Refutation
% 83.43/83.81  
% 83.43/83.81  clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 83.43/83.81  .
% 83.43/83.81  clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y, 
% 83.43/83.81    'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 83.43/83.81  .
% 83.43/83.81  clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U, 
% 83.43/83.81    'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 83.43/83.81  .
% 83.43/83.81  clause( 32, [ ~( =( X, Y ) ), =( reflection( X, Y ), Y ) ] )
% 83.43/83.81  .
% 83.43/83.81  clause( 33, [ =( reflection( X, X ), X ) ] )
% 83.43/83.81  .
% 83.43/83.81  clause( 42, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 83.43/83.81  .
% 83.43/83.81  clause( 45, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 83.43/83.81  .
% 83.43/83.81  clause( 49, [ between( u, v, w ) ] )
% 83.43/83.81  .
% 83.43/83.81  clause( 50, [ between( u, w, x ) ] )
% 83.43/83.81  .
% 83.43/83.81  clause( 51, [ ~( between( v, w, x ) ) ] )
% 83.43/83.81  .
% 83.43/83.81  clause( 178, [ between( w, v, u ) ] )
% 83.43/83.81  .
% 83.43/83.81  clause( 179, [ between( x, w, u ) ] )
% 83.43/83.81  .
% 83.43/83.81  clause( 405, [ ~( between( X, Y, Z ) ), ~( between( U, T, Z ) ), between( Y
% 83.43/83.81    , W, U ), ~( between( W, 'inner_pasch'( X, Y, Z, T, U ), W ) ) ] )
% 83.43/83.81  .
% 83.43/83.81  clause( 440, [ ~( between( X, Y, u ) ), between( Y, 'inner_pasch'( w, v, u
% 83.43/83.81    , Y, X ), w ) ] )
% 83.43/83.81  .
% 83.43/83.81  clause( 2003, [ ~( =( X, Y ) ), =( Y, X ) ] )
% 83.43/83.81  .
% 83.43/83.81  clause( 3356, [ ~( between( v, X, x ) ), ~( =( X, w ) ) ] )
% 83.43/83.81  .
% 83.43/83.81  clause( 65174, [ ~( between( X, w, u ) ), between( v, w, X ) ] )
% 83.43/83.81  .
% 83.43/83.81  clause( 65284, [] )
% 83.43/83.81  .
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  % SZS output end Refutation
% 83.43/83.81  found a proof!
% 83.43/83.81  
% 83.43/83.81  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 83.43/83.81  
% 83.43/83.81  initialclauses(
% 83.43/83.81  [ clause( 65286, [ equidistant( X, Y, Y, X ) ] )
% 83.43/83.81  , clause( 65287, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 83.43/83.81    , W ) ), equidistant( Z, T, U, W ) ] )
% 83.43/83.81  , clause( 65288, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 83.43/83.81  , clause( 65289, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 83.43/83.81  , clause( 65290, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 83.43/83.81  , clause( 65291, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 83.43/83.81    , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 83.43/83.81     ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), 
% 83.43/83.81    equidistant( U, V0, W, V1 ) ] )
% 83.43/83.81  , clause( 65292, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 83.43/83.81  , clause( 65293, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), 
% 83.43/83.81    between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 83.43/83.81  , clause( 65294, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), 
% 83.43/83.81    between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 83.43/83.81  , clause( 65295, [ ~( between( 'lower_dimension_point_1', 
% 83.43/83.81    'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 83.43/83.81  , clause( 65296, [ ~( between( 'lower_dimension_point_2', 
% 83.43/83.81    'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 83.43/83.81  , clause( 65297, [ ~( between( 'lower_dimension_point_3', 
% 83.43/83.81    'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 83.43/83.81  , clause( 65298, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 83.43/83.81    , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, 
% 83.43/83.81    U, X ), between( U, X, T ), =( Y, Z ) ] )
% 83.43/83.81  , clause( 65299, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 83.43/83.81    Y ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 83.43/83.81  , clause( 65300, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 83.43/83.81    Y ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 83.43/83.81  , clause( 65301, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 83.43/83.81    Y ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ]
% 83.43/83.81     )
% 83.43/83.81  , clause( 65302, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 83.43/83.81    , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, 
% 83.43/83.81    continuous( X, Y, Z, W, T, U ), U ) ] )
% 83.43/83.81  , clause( 65303, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 83.43/83.81    , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 83.43/83.81    , W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 83.43/83.81  , clause( 65304, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 83.43/83.81  , clause( 65305, [ equidistant( X, Y, X, Y ) ] )
% 83.43/83.81  , clause( 65306, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y
% 83.43/83.81     ) ] )
% 83.43/83.81  , clause( 65307, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T
% 83.43/83.81     ) ] )
% 83.43/83.81  , clause( 65308, [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z
% 83.43/83.81     ) ] )
% 83.43/83.81  , clause( 65309, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z
% 83.43/83.81     ) ] )
% 83.43/83.81  , clause( 65310, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X
% 83.43/83.81     ) ] )
% 83.43/83.81  , clause( 65311, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y
% 83.43/83.81     ) ] )
% 83.43/83.81  , clause( 65312, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X
% 83.43/83.81     ) ] )
% 83.43/83.81  , clause( 65313, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U
% 83.43/83.81    , W ) ), equidistant( X, Y, U, W ) ] )
% 83.43/83.81  , clause( 65314, [ =( X, extension( Y, X, Z, Z ) ) ] )
% 83.43/83.81  , clause( 65315, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X )
% 83.43/83.81     ] )
% 83.43/83.81  , clause( 65316, [ between( X, Y, reflection( X, Y ) ) ] )
% 83.43/83.81  , clause( 65317, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 83.43/83.81  , clause( 65318, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 83.43/83.81  , clause( 65319, [ =( X, reflection( X, X ) ) ] )
% 83.43/83.81  , clause( 65320, [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ] )
% 83.43/83.81  , clause( 65321, [ equidistant( X, X, Y, Y ) ] )
% 83.43/83.81  , clause( 65322, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 83.43/83.81    , W ) ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X
% 83.43/83.81    , U, Z, W ) ] )
% 83.43/83.81  , clause( 65323, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~( 
% 83.43/83.81    equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 83.43/83.81  , clause( 65324, [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, 
% 83.43/83.81    Y, Y, Z ) ) ] )
% 83.43/83.81  , clause( 65325, [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y
% 83.43/83.81     ), extension( U, W, Z, T ) ), =( U, W ) ] )
% 83.43/83.81  , clause( 65326, [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ), 
% 83.43/83.81    =( X, Y ) ] )
% 83.43/83.81  , clause( 65327, [ equidistant( X, Y, X, reflection( reflection( Y, X ), X
% 83.43/83.81     ) ) ] )
% 83.43/83.81  , clause( 65328, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 83.43/83.81  , clause( 65329, [ between( X, Y, Y ) ] )
% 83.43/83.81  , clause( 65330, [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, 
% 83.43/83.81    Z ) ] )
% 83.43/83.81  , clause( 65331, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 83.43/83.81  , clause( 65332, [ between( X, X, Y ) ] )
% 83.43/83.81  , clause( 65333, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, 
% 83.43/83.81    Y ) ] )
% 83.43/83.81  , clause( 65334, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, 
% 83.43/83.81    Z ) ] )
% 83.43/83.81  , clause( 65335, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, 
% 83.43/83.81    Y ), =( Y, Z ) ] )
% 83.43/83.81  , clause( 65336, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X, 
% 83.43/83.81    Y ), =( Y, Z ) ] )
% 83.43/83.81  , clause( 65337, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), 
% 83.43/83.81    between( X, Y, Z ) ] )
% 83.43/83.81  , clause( 65338, [ between( u, v, w ) ] )
% 83.43/83.81  , clause( 65339, [ between( u, w, x ) ] )
% 83.43/83.81  , clause( 65340, [ ~( between( v, w, x ) ) ] )
% 83.43/83.81  ] ).
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  subsumption(
% 83.43/83.81  clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 83.43/83.81  , clause( 65292, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 83.43/83.81  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 83.43/83.81     ), ==>( 1, 1 )] ) ).
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  subsumption(
% 83.43/83.81  clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y, 
% 83.43/83.81    'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 83.43/83.81  , clause( 65293, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), 
% 83.43/83.81    between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 83.43/83.81  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 83.43/83.81    , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 83.43/83.81     ).
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  subsumption(
% 83.43/83.81  clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U, 
% 83.43/83.81    'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 83.43/83.81  , clause( 65294, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), 
% 83.43/83.81    between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 83.43/83.81  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 83.43/83.81    , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 83.43/83.81     ).
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  eqswap(
% 83.43/83.81  clause( 65503, [ =( reflection( Y, X ), X ), ~( =( Y, X ) ) ] )
% 83.43/83.81  , clause( 65318, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 83.43/83.81  , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  subsumption(
% 83.43/83.81  clause( 32, [ ~( =( X, Y ) ), =( reflection( X, Y ), Y ) ] )
% 83.43/83.81  , clause( 65503, [ =( reflection( Y, X ), X ), ~( =( Y, X ) ) ] )
% 83.43/83.81  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 83.43/83.81     ), ==>( 1, 0 )] ) ).
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  eqswap(
% 83.43/83.81  clause( 65570, [ =( reflection( X, X ), X ) ] )
% 83.43/83.81  , clause( 65319, [ =( X, reflection( X, X ) ) ] )
% 83.43/83.81  , 0, substitution( 0, [ :=( X, X )] )).
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  subsumption(
% 83.43/83.81  clause( 33, [ =( reflection( X, X ), X ) ] )
% 83.43/83.81  , clause( 65570, [ =( reflection( X, X ), X ) ] )
% 83.43/83.81  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 83.43/83.81  
% 83.43/83.81  
% 83.43/83.81  eqswap(
% 83.43/83.81  clause( 65662, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 197.93/198.33  , clause( 65328, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 197.93/198.33  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 197.93/198.33  
% 197.93/198.33  
% 197.93/198.33  subsumption(
% 197.93/198.33  clause( 42, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 197.93/198.33  , clause( 65662, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 197.93/198.33  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 197.93/198.33     )] ) ).
% 197.93/198.33  
% 197.93/198.33  
% 197.93/198.33  subsumption(
% 197.93/198.33  clause( 45, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 197.93/198.33  , clause( 65331, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 197.93/198.33  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 197.93/198.33    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 197.93/198.33  
% 197.93/198.33  
% 197.93/198.33  subsumption(
% 197.93/198.33  clause( 49, [ between( u, v, w ) ] )
% 197.93/198.33  , clause( 65338, [ between( u, v, w ) ] )
% 197.93/198.33  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 197.93/198.33  
% 197.93/198.33  
% 197.93/198.33  subsumption(
% 197.93/198.33  clause( 50, [ between( u, w, x ) ] )
% 197.93/198.33  , clause( 65339, [ between( u, w, x ) ] )
% 197.93/198.33  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 197.93/198.33  
% 197.93/198.33  
% 197.93/198.33  subsumption(
% 197.93/198.33  clause( 51, [ ~( between( v, w, x ) ) ] )
% 197.93/198.33  , clause( 65340, [ ~( between( v, w, x ) ) ] )
% 197.93/198.33  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 197.93/198.33  
% 197.93/198.33  
% 197.93/198.33  resolution(
% 197.93/198.33  clause( 66092, [ between( w, v, u ) ] )
% 197.93/198.33  , clause( 45, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 197.93/198.33  , 0, clause( 49, [ between( u, v, w ) ] )
% 197.93/198.33  , 0, substitution( 0, [ :=( X, u ), :=( Y, v ), :=( Z, w )] ), 
% 197.93/198.33    substitution( 1, [] )).
% 197.93/198.33  
% 197.93/198.33  
% 197.93/198.33  subsumption(
% 197.93/198.33  clause( 178, [ between( w, v, u ) ] )
% 197.93/198.33  , clause( 66092, [ between( w, v, u ) ] )
% 197.93/198.33  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 197.93/198.33  
% 197.93/198.33  
% 197.93/198.33  resolution(
% 197.93/198.33  clause( 66093, [ between( x, w, u ) ] )
% 197.93/198.33  , clause( 45, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 197.93/198.33  , 0, clause( 50, [ between( u, w, x ) ] )
% 197.93/198.33  , 0, substitution( 0, [ :=( X, u ), :=( Y, w ), :=( Z, x )] ), 
% 197.93/198.33    substitution( 1, [] )).
% 197.93/198.33  
% 197.93/198.33  
% 197.93/198.33  subsumption(
% 197.93/198.33  clause( 179, [ between( x, w, u ) ] )
% 197.93/198.33  , clause( 66093, [ between( x, w, u ) ] )
% 197.93/198.33  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 197.93/198.33  
% 197.93/198.33  
% 197.93/198.33  eqswap(
% 197.93/198.33  clause( 66094, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 197.93/198.33  , clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 197.93/198.33  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 197.93/198.33  
% 197.93/198.33  
% 197.93/198.33  paramod(
% 197.93/198.33  clause( 66095, [ between( X, W, U ), ~( between( W, 'inner_pasch'( Y, X, Z
% 197.93/198.33    , T, U ), W ) ), ~( between( Y, X, Z ) ), ~( between( U, T, Z ) ) ] )
% 197.93/198.33  , clause( 66094, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 197.93/198.33  , 0, clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( 
% 197.93/198.33    Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 197.93/198.33  , 2, 2, substitution( 0, [ :=( X, W ), :=( Y, 'inner_pasch'( Y, X, Z, T, U
% 197.93/198.33     ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, U
% 197.93/198.33     ), :=( U, T )] )).
% 197.93/198.33  
% 197.93/198.33  
% 197.93/198.33  subsumption(
% 197.93/198.33  clause( 405, [ ~( between( X, Y, Z ) ), ~( between( U, T, Z ) ), between( Y
% 197.93/198.33    , W, U ), ~( between( W, 'inner_pasch'( X, Y, Z, T, U ), W ) ) ] )
% 197.93/198.33  , clause( 66095, [ between( X, W, U ), ~( between( W, 'inner_pasch'( Y, X, 
% 197.93/198.33    Z, T, U ), W ) ), ~( between( Y, X, Z ) ), ~( between( U, T, Z ) ) ] )
% 197.93/198.33  , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T ), :=( U
% 197.93/198.33    , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 3 ), ==>( 2
% 197.93/198.33    , 0 ), ==>( 3, 1 )] ) ).
% 197.93/198.33  
% 197.93/198.33  
% 197.93/198.33  resolution(
% 197.93/198.33  clause( 71715, [ ~( between( X, Y, u ) ), between( Y, 'inner_pasch'( w, v, 
% 197.93/198.33    u, Y, X ), w ) ] )
% 197.93/198.33  , clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U
% 197.93/198.33    , 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 197.93/198.33  , 0, clause( 178, [ between( w, v, u ) ] )
% 197.93/198.33  , 0, substitution( 0, [ :=( X, w ), :=( Y, v ), :=( Z, u ), :=( T, X ), 
% 197.93/198.33    :=( U, Y )] ), substitution( 1, [] )).
% 197.93/198.33  
% 197.93/198.33  
% 197.93/198.33  subsumption(
% 197.93/198.33  clause( 440, [ ~( between( X, Y, u ) ), between( Y, 'inner_pasch'( w, v, u
% 197.93/198.33    , Y, X ), w ) ] )
% 197.93/198.33  , clause( 71715, [ ~( between( X, Y, u ) ), between( Y, 'inner_pasch'( w, v
% 197.93/198.33    , u, Y, X ), w ) ] )
% 197.93/198.33  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 197.93/198.33     ), ==>( 1, 1 )] ) ).
% 197.93/198.33  
% 197.93/198.33  
% 197.93/198.33  eqswap(
% 197.93/198.33  clause( 71717, [ ~( =( Y, X ) ), =( reflection( X, Y ), Y ) ] )
% 197.93/198.33  , clause( 32, [ ~( =( X, Y ) ), =( reflection( X, Y ), Y ) ] )
% 197.93/198.33  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 197.93/198.33  
% 197.93/198.33  
% 197.93/198.33  eqswap(
% 197.93/198.33  clause( 71720, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 197.93/198.33  , clause( 42, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 197.93/198.33  , 0Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------