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Bliksem---1.12.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GEO059-2 : TPTP v8.1.0. Released v1.0.0.
% 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 02:51:16 EDT 2022

% Result   : Unsatisfiable 230.17s 230.62s
% Output   : Refutation 230.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GEO059-2 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14  % 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 : Fri Jun 17 23:33:24 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 61.40/61.77  *** allocated 10000 integers for termspace/termends
% 61.40/61.77  *** allocated 10000 integers for clauses
% 61.40/61.77  *** allocated 10000 integers for justifications
% 61.40/61.77  Bliksem 1.12
% 61.40/61.77  
% 61.40/61.77  
% 61.40/61.77  Automatic Strategy Selection
% 61.40/61.77  
% 61.40/61.77  Clauses:
% 61.40/61.77  [
% 61.40/61.77     [ equidistant( X, Y, Y, X ) ],
% 61.40/61.77     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ), 
% 61.40/61.77    equidistant( Z, T, U, W ) ],
% 61.40/61.77     [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 61.40/61.77     [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 61.40/61.77     [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 61.40/61.77     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~( 
% 61.40/61.77    equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~( 
% 61.40/61.77    between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 61.40/61.77    , V0, W, V1 ) ],
% 61.40/61.77     [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 61.40/61.77     [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y, 
% 61.40/61.77    'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 61.40/61.77     [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U, 
% 61.40/61.77    'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 61.40/61.77     [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2', 
% 61.40/61.77    'lower_dimension_point_3' ) ) ],
% 61.40/61.77     [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3', 
% 61.40/61.77    'lower_dimension_point_1' ) ) ],
% 61.40/61.77     [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1', 
% 61.40/61.77    'lower_dimension_point_2' ) ) ],
% 61.40/61.77     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~( 
% 61.40/61.77    equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ), 
% 61.40/61.77    between( U, X, T ), =( Y, Z ) ],
% 61.40/61.77     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 61.40/61.77    X, T, euclid1( X, T, Y, U, Z ) ) ],
% 61.40/61.77     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 61.40/61.77    X, U, euclid2( X, T, Y, U, Z ) ) ],
% 61.40/61.77     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 61.40/61.77    euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 61.40/61.77     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~( 
% 61.40/61.77    between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 61.40/61.77    , Y, Z, W, T, U ), U ) ],
% 61.40/61.77     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~( 
% 61.40/61.77    between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X, 
% 61.40/61.77    continuous( X, Y, Z, W, T, U ) ) ],
% 61.40/61.77     [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ],
% 61.40/61.77     [ ~( equidistant( v, u, v, reflection( reflection( u, v ), v ) ) ) ]
% 61.40/61.77  ] .
% 61.40/61.77  
% 61.40/61.77  
% 61.40/61.77  percentage equality = 0.137931, percentage horn = 0.750000
% 61.40/61.77  This is a problem with some equality
% 61.40/61.77  
% 61.40/61.77  
% 61.40/61.77  
% 61.40/61.77  Options Used:
% 61.40/61.77  
% 61.40/61.77  useres =            1
% 61.40/61.77  useparamod =        1
% 61.40/61.77  useeqrefl =         1
% 61.40/61.77  useeqfact =         1
% 61.40/61.77  usefactor =         1
% 61.40/61.77  usesimpsplitting =  0
% 61.40/61.77  usesimpdemod =      5
% 61.40/61.77  usesimpres =        3
% 61.40/61.77  
% 61.40/61.77  resimpinuse      =  1000
% 61.40/61.77  resimpclauses =     20000
% 61.40/61.77  substype =          eqrewr
% 61.40/61.77  backwardsubs =      1
% 61.40/61.77  selectoldest =      5
% 61.40/61.77  
% 61.40/61.77  litorderings [0] =  split
% 61.40/61.77  litorderings [1] =  extend the termordering, first sorting on arguments
% 61.40/61.77  
% 61.40/61.77  termordering =      kbo
% 61.40/61.77  
% 61.40/61.77  litapriori =        0
% 61.40/61.77  termapriori =       1
% 61.40/61.77  litaposteriori =    0
% 61.40/61.77  termaposteriori =   0
% 61.40/61.77  demodaposteriori =  0
% 61.40/61.77  ordereqreflfact =   0
% 61.40/61.77  
% 61.40/61.77  litselect =         negord
% 61.40/61.77  
% 61.40/61.77  maxweight =         15
% 61.40/61.77  maxdepth =          30000
% 61.40/61.77  maxlength =         115
% 61.40/61.77  maxnrvars =         195
% 61.40/61.77  excuselevel =       1
% 61.40/61.77  increasemaxweight = 1
% 61.40/61.77  
% 61.40/61.77  maxselected =       10000000
% 61.40/61.77  maxnrclauses =      10000000
% 61.40/61.77  
% 61.40/61.77  showgenerated =    0
% 61.40/61.77  showkept =         0
% 61.40/61.77  showselected =     0
% 61.40/61.77  showdeleted =      0
% 61.40/61.77  showresimp =       1
% 61.40/61.77  showstatus =       2000
% 61.40/61.77  
% 61.40/61.77  prologoutput =     1
% 61.40/61.77  nrgoals =          5000000
% 61.40/61.77  totalproof =       1
% 61.40/61.77  
% 61.40/61.77  Symbols occurring in the translation:
% 61.40/61.77  
% 61.40/61.77  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 61.40/61.77  .  [1, 2]      (w:1, o:30, a:1, s:1, b:0), 
% 61.40/61.77  !  [4, 1]      (w:0, o:25, a:1, s:1, b:0), 
% 61.40/61.77  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 61.40/61.77  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 61.40/61.77  equidistant  [41, 4]      (w:1, o:57, a:1, s:1, b:0), 
% 61.40/61.77  extension  [46, 4]      (w:1, o:58, a:1, s:1, b:0), 
% 61.40/61.77  between  [47, 3]      (w:1, o:56, a:1, s:1, b:0), 
% 61.40/61.77  'inner_pasch'  [53, 5]      (w:1, o:59, a:1, s:1, b:0), 
% 61.40/61.77  'lower_dimension_point_1'  [54, 0]      (w:1, o:20, a:1, s:1, b:0), 
% 61.40/61.77  'lower_dimension_point_2'  [55, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 61.40/61.77  'lower_dimension_point_3'  [56, 0]      (w:1, o:22, a:1, s:1, b:0), 
% 230.17/230.62  euclid1  [57, 5]      (w:1, o:60, a:1, s:1, b:0), 
% 230.17/230.62  euclid2  [58, 5]      (w:1, o:61, a:1, s:1, b:0), 
% 230.17/230.62  continuous  [59, 6]      (w:1, o:62, a:1, s:1, b:0), 
% 230.17/230.62  reflection  [60, 2]      (w:1, o:55, a:1, s:1, b:0), 
% 230.17/230.62  v  [61, 0]      (w:1, o:24, a:1, s:1, b:0), 
% 230.17/230.62  u  [62, 0]      (w:1, o:23, a:1, s:1, b:0).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Starting Search:
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    14621
% 230.17/230.62  Kept:         2140
% 230.17/230.62  Inuse:        154
% 230.17/230.62  Deleted:      21
% 230.17/230.62  Deletedinuse: 1
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    39403
% 230.17/230.62  Kept:         4149
% 230.17/230.62  Inuse:        351
% 230.17/230.62  Deleted:      44
% 230.17/230.62  Deletedinuse: 1
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    58893
% 230.17/230.62  Kept:         6155
% 230.17/230.62  Inuse:        510
% 230.17/230.62  Deleted:      44
% 230.17/230.62  Deletedinuse: 1
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    121432
% 230.17/230.62  Kept:         8164
% 230.17/230.62  Inuse:        610
% 230.17/230.62  Deleted:      44
% 230.17/230.62  Deletedinuse: 1
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    235850
% 230.17/230.62  Kept:         10164
% 230.17/230.62  Inuse:        736
% 230.17/230.62  Deleted:      44
% 230.17/230.62  Deletedinuse: 1
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    299520
% 230.17/230.62  Kept:         12200
% 230.17/230.62  Inuse:        847
% 230.17/230.62  Deleted:      45
% 230.17/230.62  Deletedinuse: 1
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    352847
% 230.17/230.62  Kept:         14214
% 230.17/230.62  Inuse:        966
% 230.17/230.62  Deleted:      106
% 230.17/230.62  Deletedinuse: 10
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    427316
% 230.17/230.62  Kept:         16217
% 230.17/230.62  Inuse:        1098
% 230.17/230.62  Deleted:      144
% 230.17/230.62  Deletedinuse: 10
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    643553
% 230.17/230.62  Kept:         18226
% 230.17/230.62  Inuse:        1204
% 230.17/230.62  Deleted:      211
% 230.17/230.62  Deletedinuse: 10
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying clauses:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    1110848
% 230.17/230.62  Kept:         20234
% 230.17/230.62  Inuse:        1375
% 230.17/230.62  Deleted:      1535
% 230.17/230.62  Deletedinuse: 10
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    1173176
% 230.17/230.62  Kept:         24571
% 230.17/230.62  Inuse:        1415
% 230.17/230.62  Deleted:      1535
% 230.17/230.62  Deletedinuse: 10
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    1265757
% 230.17/230.62  Kept:         26585
% 230.17/230.62  Inuse:        1489
% 230.17/230.62  Deleted:      1535
% 230.17/230.62  Deletedinuse: 10
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    1323036
% 230.17/230.62  Kept:         28744
% 230.17/230.62  Inuse:        1533
% 230.17/230.62  Deleted:      1535
% 230.17/230.62  Deletedinuse: 10
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    1345762
% 230.17/230.62  Kept:         30818
% 230.17/230.62  Inuse:        1535
% 230.17/230.62  Deleted:      1535
% 230.17/230.62  Deletedinuse: 10
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    1392655
% 230.17/230.62  Kept:         32862
% 230.17/230.62  Inuse:        1575
% 230.17/230.62  Deleted:      1535
% 230.17/230.62  Deletedinuse: 10
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    1677348
% 230.17/230.62  Kept:         34881
% 230.17/230.62  Inuse:        1668
% 230.17/230.62  Deleted:      1541
% 230.17/230.62  Deletedinuse: 11
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    2099019
% 230.17/230.62  Kept:         36890
% 230.17/230.62  Inuse:        1794
% 230.17/230.62  Deleted:      1541
% 230.17/230.62  Deletedinuse: 11
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    2263567
% 230.17/230.62  Kept:         42779
% 230.17/230.62  Inuse:        1841
% 230.17/230.62  Deleted:      1558
% 230.17/230.62  Deletedinuse: 11
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying clauses:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    2290722
% 230.17/230.62  Kept:         45031
% 230.17/230.62  Inuse:        1843
% 230.17/230.62  Deleted:      1798
% 230.17/230.62  Deletedinuse: 11
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    2361956
% 230.17/230.62  Kept:         47038
% 230.17/230.62  Inuse:        1873
% 230.17/230.62  Deleted:      1798
% 230.17/230.62  Deletedinuse: 11
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    2527646
% 230.17/230.62  Kept:         49048
% 230.17/230.62  Inuse:        1957
% 230.17/230.62  Deleted:      1798
% 230.17/230.62  Deletedinuse: 11
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    2740993
% 230.17/230.62  Kept:         51070
% 230.17/230.62  Inuse:        2083
% 230.17/230.62  Deleted:      1798
% 230.17/230.62  Deletedinuse: 11
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    3532302
% 230.17/230.62  Kept:         53100
% 230.17/230.62  Inuse:        2218
% 230.17/230.62  Deleted:      1798
% 230.17/230.62  Deletedinuse: 11
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    4001748
% 230.17/230.62  Kept:         55116
% 230.17/230.62  Inuse:        2292
% 230.17/230.62  Deleted:      1798
% 230.17/230.62  Deletedinuse: 11
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    4349690
% 230.17/230.62  Kept:         57122
% 230.17/230.62  Inuse:        2351
% 230.17/230.62  Deleted:      1798
% 230.17/230.62  Deletedinuse: 11
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    4703141
% 230.17/230.62  Kept:         59126
% 230.17/230.62  Inuse:        2417
% 230.17/230.62  Deleted:      1798
% 230.17/230.62  Deletedinuse: 11
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    4954666
% 230.17/230.62  Kept:         61180
% 230.17/230.62  Inuse:        2478
% 230.17/230.62  Deleted:      1798
% 230.17/230.62  Deletedinuse: 11
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    4975544
% 230.17/230.62  Kept:         65681
% 230.17/230.62  Inuse:        2479
% 230.17/230.62  Deleted:      1798
% 230.17/230.62  Deletedinuse: 11
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying clauses:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    5085232
% 230.17/230.62  Kept:         71596
% 230.17/230.62  Inuse:        2511
% 230.17/230.62  Deleted:      1798
% 230.17/230.62  Deletedinuse: 11
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    5284726
% 230.17/230.62  Kept:         73610
% 230.17/230.62  Inuse:        2569
% 230.17/230.62  Deleted:      1798
% 230.17/230.62  Deletedinuse: 11
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    5942715
% 230.17/230.62  Kept:         75619
% 230.17/230.62  Inuse:        2717
% 230.17/230.62  Deleted:      1798
% 230.17/230.62  Deletedinuse: 11
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    6375481
% 230.17/230.62  Kept:         78148
% 230.17/230.62  Inuse:        2831
% 230.17/230.62  Deleted:      1829
% 230.17/230.62  Deletedinuse: 12
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    6464390
% 230.17/230.62  Kept:         80207
% 230.17/230.62  Inuse:        2851
% 230.17/230.62  Deleted:      1829
% 230.17/230.62  Deletedinuse: 12
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    6587005
% 230.17/230.62  Kept:         82209
% 230.17/230.62  Inuse:        2913
% 230.17/230.62  Deleted:      1829
% 230.17/230.62  Deletedinuse: 12
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    7035125
% 230.17/230.62  Kept:         84236
% 230.17/230.62  Inuse:        2994
% 230.17/230.62  Deleted:      1829
% 230.17/230.62  Deletedinuse: 12
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying clauses:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    7469358
% 230.17/230.62  Kept:         86245
% 230.17/230.62  Inuse:        3083
% 230.17/230.62  Deleted:      2122
% 230.17/230.62  Deletedinuse: 12
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    7797791
% 230.17/230.62  Kept:         88246
% 230.17/230.62  Inuse:        3174
% 230.17/230.62  Deleted:      2122
% 230.17/230.62  Deletedinuse: 12
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    8074763
% 230.17/230.62  Kept:         90369
% 230.17/230.62  Inuse:        3227
% 230.17/230.62  Deleted:      2122
% 230.17/230.62  Deletedinuse: 12
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    8126628
% 230.17/230.62  Kept:         92902
% 230.17/230.62  Inuse:        3235
% 230.17/230.62  Deleted:      2122
% 230.17/230.62  Deletedinuse: 12
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    8282180
% 230.17/230.62  Kept:         94984
% 230.17/230.62  Inuse:        3271
% 230.17/230.62  Deleted:      2122
% 230.17/230.62  Deletedinuse: 12
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    8302605
% 230.17/230.62  Kept:         97289
% 230.17/230.62  Inuse:        3276
% 230.17/230.62  Deleted:      2122
% 230.17/230.62  Deletedinuse: 12
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Intermediate Status:
% 230.17/230.62  Generated:    8472767
% 230.17/230.62  Kept:         99595
% 230.17/230.62  Inuse:        3307
% 230.17/230.62  Deleted:      2122
% 230.17/230.62  Deletedinuse: 12
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  Resimplifying inuse:
% 230.17/230.62  Done
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Bliksems!, er is een bewijs:
% 230.17/230.62  % SZS status Unsatisfiable
% 230.17/230.62  % SZS output start Refutation
% 230.17/230.62  
% 230.17/230.62  clause( 0, [ equidistant( X, Y, Y, X ) ] )
% 230.17/230.62  .
% 230.17/230.62  clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) )
% 230.17/230.62    , equidistant( Z, T, U, W ) ] )
% 230.17/230.62  .
% 230.17/230.62  clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 230.17/230.62  .
% 230.17/230.62  clause( 18, [ =( extension( X, Y, X, Y ), reflection( X, Y ) ) ] )
% 230.17/230.62  .
% 230.17/230.62  clause( 19, [ ~( equidistant( v, u, v, reflection( reflection( u, v ), v )
% 230.17/230.62     ) ) ] )
% 230.17/230.62  .
% 230.17/230.62  clause( 54, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ]
% 230.17/230.62     )
% 230.17/230.62  .
% 230.17/230.62  clause( 55, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X ) ]
% 230.17/230.62     )
% 230.17/230.62  .
% 230.17/230.62  clause( 853, [ equidistant( Y, reflection( X, Y ), X, Y ) ] )
% 230.17/230.62  .
% 230.17/230.62  clause( 896, [ ~( equidistant( X, Y, v, u ) ), ~( equidistant( X, Y, v, 
% 230.17/230.62    reflection( reflection( u, v ), v ) ) ) ] )
% 230.17/230.62  .
% 230.17/230.62  clause( 1428, [ equidistant( reflection( X, Y ), Y, X, Y ) ] )
% 230.17/230.62  .
% 230.17/230.62  clause( 1458, [ equidistant( X, Y, Y, reflection( X, Y ) ) ] )
% 230.17/230.62  .
% 230.17/230.62  clause( 1481, [ equidistant( X, reflection( Y, X ), X, Y ) ] )
% 230.17/230.62  .
% 230.17/230.62  clause( 1482, [ equidistant( X, Y, X, reflection( Y, X ) ) ] )
% 230.17/230.62  .
% 230.17/230.62  clause( 101352, [] )
% 230.17/230.62  .
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  % SZS output end Refutation
% 230.17/230.62  found a proof!
% 230.17/230.62  
% 230.17/230.62  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 230.17/230.62  
% 230.17/230.62  initialclauses(
% 230.17/230.62  [ clause( 101354, [ equidistant( X, Y, Y, X ) ] )
% 230.17/230.62  , clause( 101355, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 230.17/230.62    , W ) ), equidistant( Z, T, U, W ) ] )
% 230.17/230.62  , clause( 101356, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 230.17/230.62  , clause( 101357, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 230.17/230.62  , clause( 101358, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 230.17/230.62  , clause( 101359, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 230.17/230.62    , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 230.17/230.62     ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), 
% 230.17/230.62    equidistant( U, V0, W, V1 ) ] )
% 230.17/230.62  , clause( 101360, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 230.17/230.62  , clause( 101361, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), 
% 230.17/230.62    between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 230.17/230.62  , clause( 101362, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), 
% 230.17/230.62    between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 230.17/230.62  , clause( 101363, [ ~( between( 'lower_dimension_point_1', 
% 230.17/230.62    'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 230.17/230.62  , clause( 101364, [ ~( between( 'lower_dimension_point_2', 
% 230.17/230.62    'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 230.17/230.62  , clause( 101365, [ ~( between( 'lower_dimension_point_3', 
% 230.17/230.62    'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 230.17/230.62  , clause( 101366, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 230.17/230.62    , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, 
% 230.17/230.62    U, X ), between( U, X, T ), =( Y, Z ) ] )
% 230.17/230.62  , clause( 101367, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X
% 230.17/230.62    , Y ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 230.17/230.62  , clause( 101368, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X
% 230.17/230.62    , Y ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 230.17/230.62  , clause( 101369, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X
% 230.17/230.62    , Y ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ]
% 230.17/230.62     )
% 230.17/230.62  , clause( 101370, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 230.17/230.62    , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, 
% 230.17/230.62    continuous( X, Y, Z, W, T, U ), U ) ] )
% 230.17/230.62  , clause( 101371, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 230.17/230.62    , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 230.17/230.62    , W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 230.17/230.62  , clause( 101372, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 230.17/230.62  , clause( 101373, [ ~( equidistant( v, u, v, reflection( reflection( u, v )
% 230.17/230.62    , v ) ) ) ] )
% 230.17/230.62  ] ).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  subsumption(
% 230.17/230.62  clause( 0, [ equidistant( X, Y, Y, X ) ] )
% 230.17/230.62  , clause( 101354, [ equidistant( X, Y, Y, X ) ] )
% 230.17/230.62  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 230.17/230.62     )] ) ).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  subsumption(
% 230.17/230.62  clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) )
% 230.17/230.62    , equidistant( Z, T, U, W ) ] )
% 230.17/230.62  , clause( 101355, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 230.17/230.62    , W ) ), equidistant( Z, T, U, W ) ] )
% 230.17/230.62  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 230.17/230.62    , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 230.17/230.62    , 2 )] ) ).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  subsumption(
% 230.17/230.62  clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 230.17/230.62  , clause( 101358, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 230.17/230.62  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 230.17/230.62    permutation( 0, [ ==>( 0, 0 )] ) ).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  eqswap(
% 230.17/230.62  clause( 101435, [ =( extension( X, Y, X, Y ), reflection( X, Y ) ) ] )
% 230.17/230.62  , clause( 101372, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 230.17/230.62  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  subsumption(
% 230.17/230.62  clause( 18, [ =( extension( X, Y, X, Y ), reflection( X, Y ) ) ] )
% 230.17/230.62  , clause( 101435, [ =( extension( X, Y, X, Y ), reflection( X, Y ) ) ] )
% 230.17/230.62  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 230.17/230.62     )] ) ).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  subsumption(
% 230.17/230.62  clause( 19, [ ~( equidistant( v, u, v, reflection( reflection( u, v ), v )
% 230.17/230.62     ) ) ] )
% 230.17/230.62  , clause( 101373, [ ~( equidistant( v, u, v, reflection( reflection( u, v )
% 230.17/230.62    , v ) ) ) ] )
% 230.17/230.62  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  resolution(
% 230.17/230.62  clause( 101495, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T )
% 230.17/230.62     ] )
% 230.17/230.62  , clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W )
% 230.17/230.62     ), equidistant( Z, T, U, W ) ] )
% 230.17/230.62  , 0, clause( 0, [ equidistant( X, Y, Y, X ) ] )
% 230.17/230.62  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, X ), 
% 230.17/230.62    :=( U, Z ), :=( W, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 230.17/230.62    ).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  subsumption(
% 230.17/230.62  clause( 54, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ]
% 230.17/230.62     )
% 230.17/230.62  , clause( 101495, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T
% 230.17/230.62     ) ] )
% 230.17/230.62  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 230.17/230.62    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  resolution(
% 230.17/230.62  clause( 101498, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X )
% 230.17/230.62     ] )
% 230.17/230.62  , clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W )
% 230.17/230.62     ), equidistant( Z, T, U, W ) ] )
% 230.17/230.62  , 1, clause( 0, [ equidistant( X, Y, Y, X ) ] )
% 230.17/230.62  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), 
% 230.17/230.62    :=( U, Y ), :=( W, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 230.17/230.62    ).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  subsumption(
% 230.17/230.62  clause( 55, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X ) ]
% 230.17/230.62     )
% 230.17/230.62  , clause( 101498, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X
% 230.17/230.62     ) ] )
% 230.17/230.62  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 230.17/230.62    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  paramod(
% 230.17/230.62  clause( 101500, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 230.17/230.62  , clause( 18, [ =( extension( X, Y, X, Y ), reflection( X, Y ) ) ] )
% 230.17/230.62  , 0, clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 230.17/230.62  , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ 
% 230.17/230.62    :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, X )] )).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  subsumption(
% 230.17/230.62  clause( 853, [ equidistant( Y, reflection( X, Y ), X, Y ) ] )
% 230.17/230.62  , clause( 101500, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 230.17/230.62  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 230.17/230.62     )] ) ).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  resolution(
% 230.17/230.62  clause( 101501, [ ~( equidistant( X, Y, v, u ) ), ~( equidistant( X, Y, v, 
% 230.17/230.62    reflection( reflection( u, v ), v ) ) ) ] )
% 230.17/230.62  , clause( 19, [ ~( equidistant( v, u, v, reflection( reflection( u, v ), v
% 230.17/230.62     ) ) ) ] )
% 230.17/230.62  , 0, clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, 
% 230.17/230.62    W ) ), equidistant( Z, T, U, W ) ] )
% 230.17/230.62  , 2, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( 
% 230.17/230.62    Z, v ), :=( T, u ), :=( U, v ), :=( W, reflection( reflection( u, v ), v
% 230.17/230.62     ) )] )).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  subsumption(
% 230.17/230.62  clause( 896, [ ~( equidistant( X, Y, v, u ) ), ~( equidistant( X, Y, v, 
% 230.17/230.62    reflection( reflection( u, v ), v ) ) ) ] )
% 230.17/230.62  , clause( 101501, [ ~( equidistant( X, Y, v, u ) ), ~( equidistant( X, Y, v
% 230.17/230.62    , reflection( reflection( u, v ), v ) ) ) ] )
% 230.17/230.62  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 230.17/230.62     ), ==>( 1, 1 )] ) ).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  resolution(
% 230.17/230.62  clause( 101502, [ equidistant( reflection( Y, X ), X, Y, X ) ] )
% 230.17/230.62  , clause( 54, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ]
% 230.17/230.62     )
% 230.17/230.62  , 0, clause( 853, [ equidistant( Y, reflection( X, Y ), X, Y ) ] )
% 230.17/230.62  , 0, substitution( 0, [ :=( X, X ), :=( Y, reflection( Y, X ) ), :=( Z, Y )
% 230.17/230.62    , :=( T, X )] ), substitution( 1, [ :=( X, Y ), :=( Y, X )] )).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  subsumption(
% 230.17/230.62  clause( 1428, [ equidistant( reflection( X, Y ), Y, X, Y ) ] )
% 230.17/230.62  , clause( 101502, [ equidistant( reflection( Y, X ), X, Y, X ) ] )
% 230.17/230.62  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 230.17/230.62     )] ) ).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  resolution(
% 230.17/230.62  clause( 101503, [ equidistant( X, Y, Y, reflection( X, Y ) ) ] )
% 230.17/230.62  , clause( 55, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X ) ]
% 230.17/230.62     )
% 230.17/230.62  , 0, clause( 1428, [ equidistant( reflection( X, Y ), Y, X, Y ) ] )
% 230.17/230.62  , 0, substitution( 0, [ :=( X, reflection( X, Y ) ), :=( Y, Y ), :=( Z, X )
% 230.17/230.62    , :=( T, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  subsumption(
% 230.17/230.62  clause( 1458, [ equidistant( X, Y, Y, reflection( X, Y ) ) ] )
% 230.17/230.62  , clause( 101503, [ equidistant( X, Y, Y, reflection( X, Y ) ) ] )
% 230.17/230.62  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 230.17/230.62     )] ) ).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  resolution(
% 230.17/230.62  clause( 101504, [ equidistant( Y, reflection( X, Y ), Y, X ) ] )
% 230.17/230.62  , clause( 55, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X ) ]
% 230.17/230.62     )
% 230.17/230.62  , 0, clause( 1458, [ equidistant( X, Y, Y, reflection( X, Y ) ) ] )
% 230.17/230.62  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, 
% 230.17/230.62    reflection( X, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 230.17/230.62    ).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  subsumption(
% 230.17/230.62  clause( 1481, [ equidistant( X, reflection( Y, X ), X, Y ) ] )
% 230.17/230.62  , clause( 101504, [ equidistant( Y, reflection( X, Y ), Y, X ) ] )
% 230.17/230.62  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 230.17/230.62     )] ) ).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  resolution(
% 230.17/230.62  clause( 101505, [ equidistant( Y, X, Y, reflection( X, Y ) ) ] )
% 230.17/230.62  , clause( 54, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ]
% 230.17/230.62     )
% 230.17/230.62  , 0, clause( 1458, [ equidistant( X, Y, Y, reflection( X, Y ) ) ] )
% 230.17/230.62  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, 
% 230.17/230.62    reflection( X, Y ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 230.17/230.62    ).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  subsumption(
% 230.17/230.62  clause( 1482, [ equidistant( X, Y, X, reflection( Y, X ) ) ] )
% 230.17/230.62  , clause( 101505, [ equidistant( Y, X, Y, reflection( X, Y ) ) ] )
% 230.17/230.62  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 230.17/230.62     )] ) ).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  resolution(
% 230.17/230.62  clause( 101506, [ ~( equidistant( v, reflection( u, v ), v, u ) ) ] )
% 230.17/230.62  , clause( 896, [ ~( equidistant( X, Y, v, u ) ), ~( equidistant( X, Y, v, 
% 230.17/230.62    reflection( reflection( u, v ), v ) ) ) ] )
% 230.17/230.62  , 1, clause( 1482, [ equidistant( X, Y, X, reflection( Y, X ) ) ] )
% 230.17/230.62  , 0, substitution( 0, [ :=( X, v ), :=( Y, reflection( u, v ) )] ), 
% 230.17/230.62    substitution( 1, [ :=( X, v ), :=( Y, reflection( u, v ) )] )).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  resolution(
% 230.17/230.62  clause( 101507, [] )
% 230.17/230.62  , clause( 101506, [ ~( equidistant( v, reflection( u, v ), v, u ) ) ] )
% 230.17/230.62  , 0, clause( 1481, [ equidistant( X, reflection( Y, X ), X, Y ) ] )
% 230.17/230.62  , 0, substitution( 0, [] ), substitution( 1, [ :=( X, v ), :=( Y, u )] )
% 230.17/230.62    ).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  subsumption(
% 230.17/230.62  clause( 101352, [] )
% 230.17/230.62  , clause( 101507, [] )
% 230.17/230.62  , substitution( 0, [] ), permutation( 0, [] ) ).
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  end.
% 230.17/230.62  
% 230.17/230.62  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 230.17/230.62  
% 230.17/230.62  Memory use:
% 230.17/230.62  
% 230.17/230.62  space for terms:        1654835
% 230.17/230.62  space for clauses:      4163574
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  clauses generated:      8608420
% 230.17/230.62  clauses kept:           101353
% 230.17/230.62  clauses selected:       3340
% 230.17/230.62  clauses deleted:        2122
% 230.17/230.62  clauses inuse deleted:  12
% 230.17/230.62  
% 230.17/230.62  subsentry:          10214892
% 230.17/230.62  literals s-matched: 3963044
% 230.17/230.62  literals matched:   2648432
% 230.17/230.62  full subsumption:   1214812
% 230.17/230.62  
% 230.17/230.62  checksum:           1618744483
% 230.17/230.62  
% 230.17/230.62  
% 230.17/230.62  Bliksem ended
%------------------------------------------------------------------------------