TSTP Solution File: GEO040-3 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GEO040-3 : 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 02:51:05 EDT 2022

% Result   : Unsatisfiable 76.78s 77.14s
% Output   : Refutation 76.78s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO040-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % 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 16:50:13 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 3.44/3.85  *** allocated 10000 integers for termspace/termends
% 3.44/3.85  *** allocated 10000 integers for clauses
% 3.44/3.85  *** allocated 10000 integers for justifications
% 3.44/3.85  Bliksem 1.12
% 3.44/3.85  
% 3.44/3.85  
% 3.44/3.85  Automatic Strategy Selection
% 3.44/3.85  
% 3.44/3.85  Clauses:
% 3.44/3.85  [
% 3.44/3.85     [ equidistant( X, Y, Y, X ) ],
% 3.44/3.85     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ), 
% 3.44/3.85    equidistant( Z, T, U, W ) ],
% 3.44/3.85     [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 3.44/3.85     [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 3.44/3.85     [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 3.44/3.85     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~( 
% 3.44/3.85    equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~( 
% 3.44/3.85    between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 3.44/3.85    , V0, W, V1 ) ],
% 3.44/3.85     [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 3.44/3.85     [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y, 
% 3.44/3.85    'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 3.44/3.85     [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U, 
% 3.44/3.85    'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 3.44/3.85     [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2', 
% 3.44/3.85    'lower_dimension_point_3' ) ) ],
% 3.44/3.85     [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3', 
% 3.44/3.85    'lower_dimension_point_1' ) ) ],
% 3.44/3.85     [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1', 
% 3.44/3.85    'lower_dimension_point_2' ) ) ],
% 3.44/3.85     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~( 
% 3.44/3.85    equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ), 
% 3.44/3.85    between( U, X, T ), =( Y, Z ) ],
% 3.44/3.85     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 3.44/3.85    X, T, euclid1( X, T, Y, U, Z ) ) ],
% 3.44/3.85     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 3.44/3.85    X, U, euclid2( X, T, Y, U, Z ) ) ],
% 3.44/3.85     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 3.44/3.85    euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 3.44/3.85     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~( 
% 3.44/3.85    between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 3.44/3.85    , Y, Z, W, T, U ), U ) ],
% 3.44/3.85     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~( 
% 3.44/3.85    between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X, 
% 3.44/3.85    continuous( X, Y, Z, W, T, U ) ) ],
% 3.44/3.85     [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ],
% 3.44/3.85     [ equidistant( X, Y, X, Y ) ],
% 3.44/3.85     [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ],
% 3.44/3.85     [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ],
% 3.44/3.85     [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z ) ],
% 3.44/3.85     [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z ) ],
% 3.44/3.85     [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X ) ],
% 3.44/3.85     [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y ) ],
% 3.44/3.85     [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X ) ],
% 3.44/3.85     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U, W ) ), 
% 3.44/3.85    equidistant( X, Y, U, W ) ],
% 3.44/3.85     [ =( X, extension( Y, X, Z, Z ) ) ],
% 3.44/3.85     [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ],
% 3.44/3.85     [ between( X, Y, reflection( X, Y ) ) ],
% 3.44/3.85     [ equidistant( X, reflection( Y, X ), Y, X ) ],
% 3.44/3.85     [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ],
% 3.44/3.85     [ =( X, reflection( X, X ) ) ],
% 3.44/3.85     [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ],
% 3.44/3.85     [ equidistant( X, X, Y, Y ) ],
% 3.44/3.85     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~( 
% 3.44/3.85    between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X, U, Z, W )
% 3.44/3.85     ],
% 3.44/3.85     [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~( equidistant( Y, Z
% 3.44/3.85    , Y, T ) ), =( X, Y ), =( Z, T ) ],
% 3.44/3.85     [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, Y, Y, Z ) ) ]
% 3.44/3.85    ,
% 3.44/3.85     [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y ), extension( 
% 3.44/3.85    U, W, Z, T ) ), =( U, W ) ],
% 3.44/3.85     [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ), =( X, Y ) ]
% 3.44/3.85    ,
% 3.44/3.85     [ equidistant( X, Y, X, reflection( reflection( Y, X ), X ) ) ],
% 3.44/3.85     [ =( X, reflection( reflection( X, Y ), Y ) ) ],
% 3.44/3.85     [ between( X, Y, Y ) ],
% 3.44/3.85     [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z ) ],
% 3.44/3.85     [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ],
% 3.44/3.85     [ between( X, X, Y ) ],
% 3.44/3.85     [ between( u, v, w ) ],
% 3.44/3.85     [ between( v, u, w ) ],
% 76.78/77.14     [ ~( =( u, v ) ) ]
% 76.78/77.14  ] .
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  percentage equality = 0.224138, percentage horn = 0.820000
% 76.78/77.14  This is a problem with some equality
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  Options Used:
% 76.78/77.14  
% 76.78/77.14  useres =            1
% 76.78/77.14  useparamod =        1
% 76.78/77.14  useeqrefl =         1
% 76.78/77.14  useeqfact =         1
% 76.78/77.14  usefactor =         1
% 76.78/77.14  usesimpsplitting =  0
% 76.78/77.14  usesimpdemod =      5
% 76.78/77.14  usesimpres =        3
% 76.78/77.14  
% 76.78/77.14  resimpinuse      =  1000
% 76.78/77.14  resimpclauses =     20000
% 76.78/77.14  substype =          eqrewr
% 76.78/77.14  backwardsubs =      1
% 76.78/77.14  selectoldest =      5
% 76.78/77.14  
% 76.78/77.14  litorderings [0] =  split
% 76.78/77.14  litorderings [1] =  extend the termordering, first sorting on arguments
% 76.78/77.14  
% 76.78/77.14  termordering =      kbo
% 76.78/77.14  
% 76.78/77.14  litapriori =        0
% 76.78/77.14  termapriori =       1
% 76.78/77.14  litaposteriori =    0
% 76.78/77.14  termaposteriori =   0
% 76.78/77.14  demodaposteriori =  0
% 76.78/77.14  ordereqreflfact =   0
% 76.78/77.14  
% 76.78/77.14  litselect =         negord
% 76.78/77.14  
% 76.78/77.14  maxweight =         15
% 76.78/77.14  maxdepth =          30000
% 76.78/77.14  maxlength =         115
% 76.78/77.14  maxnrvars =         195
% 76.78/77.14  excuselevel =       1
% 76.78/77.14  increasemaxweight = 1
% 76.78/77.14  
% 76.78/77.14  maxselected =       10000000
% 76.78/77.14  maxnrclauses =      10000000
% 76.78/77.14  
% 76.78/77.14  showgenerated =    0
% 76.78/77.14  showkept =         0
% 76.78/77.14  showselected =     0
% 76.78/77.14  showdeleted =      0
% 76.78/77.14  showresimp =       1
% 76.78/77.14  showstatus =       2000
% 76.78/77.14  
% 76.78/77.14  prologoutput =     1
% 76.78/77.14  nrgoals =          5000000
% 76.78/77.14  totalproof =       1
% 76.78/77.14  
% 76.78/77.14  Symbols occurring in the translation:
% 76.78/77.14  
% 76.78/77.14  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 76.78/77.14  .  [1, 2]      (w:1, o:33, a:1, s:1, b:0), 
% 76.78/77.14  !  [4, 1]      (w:0, o:28, a:1, s:1, b:0), 
% 76.78/77.14  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 76.78/77.14  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 76.78/77.14  equidistant  [41, 4]      (w:1, o:60, a:1, s:1, b:0), 
% 76.78/77.14  extension  [46, 4]      (w:1, o:61, a:1, s:1, b:0), 
% 76.78/77.14  between  [47, 3]      (w:1, o:59, a:1, s:1, b:0), 
% 76.78/77.14  'inner_pasch'  [53, 5]      (w:1, o:62, a:1, s:1, b:0), 
% 76.78/77.14  'lower_dimension_point_1'  [54, 0]      (w:1, o:22, a:1, s:1, b:0), 
% 76.78/77.14  'lower_dimension_point_2'  [55, 0]      (w:1, o:23, a:1, s:1, b:0), 
% 76.78/77.14  'lower_dimension_point_3'  [56, 0]      (w:1, o:24, a:1, s:1, b:0), 
% 76.78/77.14  euclid1  [57, 5]      (w:1, o:63, a:1, s:1, b:0), 
% 76.78/77.14  euclid2  [58, 5]      (w:1, o:64, a:1, s:1, b:0), 
% 76.78/77.14  continuous  [59, 6]      (w:1, o:65, a:1, s:1, b:0), 
% 76.78/77.14  reflection  [60, 2]      (w:1, o:58, a:1, s:1, b:0), 
% 76.78/77.14  u  [63, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 76.78/77.14  v  [64, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 76.78/77.14  w  [65, 0]      (w:1, o:27, a:1, s:1, b:0).
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  Starting Search:
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  Intermediate Status:
% 76.78/77.14  Generated:    10027
% 76.78/77.14  Kept:         2019
% 76.78/77.14  Inuse:        128
% 76.78/77.14  Deleted:      1
% 76.78/77.14  Deletedinuse: 0
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  Intermediate Status:
% 76.78/77.14  Generated:    19510
% 76.78/77.14  Kept:         4123
% 76.78/77.14  Inuse:        164
% 76.78/77.14  Deleted:      2
% 76.78/77.14  Deletedinuse: 0
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  Intermediate Status:
% 76.78/77.14  Generated:    34308
% 76.78/77.14  Kept:         6140
% 76.78/77.14  Inuse:        238
% 76.78/77.14  Deleted:      7
% 76.78/77.14  Deletedinuse: 0
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  Intermediate Status:
% 76.78/77.14  Generated:    46686
% 76.78/77.14  Kept:         8163
% 76.78/77.14  Inuse:        315
% 76.78/77.14  Deleted:      8
% 76.78/77.14  Deletedinuse: 1
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  Intermediate Status:
% 76.78/77.14  Generated:    57882
% 76.78/77.14  Kept:         10183
% 76.78/77.14  Inuse:        384
% 76.78/77.14  Deleted:      8
% 76.78/77.14  Deletedinuse: 1
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  Intermediate Status:
% 76.78/77.14  Generated:    69730
% 76.78/77.14  Kept:         12201
% 76.78/77.14  Inuse:        435
% 76.78/77.14  Deleted:      8
% 76.78/77.14  Deletedinuse: 1
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  Intermediate Status:
% 76.78/77.14  Generated:    81934
% 76.78/77.14  Kept:         14208
% 76.78/77.14  Inuse:        503
% 76.78/77.14  Deleted:      8
% 76.78/77.14  Deletedinuse: 1
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  Intermediate Status:
% 76.78/77.14  Generated:    99552
% 76.78/77.14  Kept:         16228
% 76.78/77.14  Inuse:        606
% 76.78/77.14  Deleted:      12
% 76.78/77.14  Deletedinuse: 3
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  Intermediate Status:
% 76.78/77.14  Generated:    112181
% 76.78/77.14  Kept:         18466
% 76.78/77.14  Inuse:        671
% 76.78/77.14  Deleted:      13
% 76.78/77.14  Deletedinuse: 3
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  Resimplifying clauses:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  Intermediate Status:
% 76.78/77.14  Generated:    129252
% 76.78/77.14  Kept:         20467
% 76.78/77.14  Inuse:        741
% 76.78/77.14  Deleted:      100
% 76.78/77.14  Deletedinuse: 3
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  Intermediate Status:
% 76.78/77.14  Generated:    144635
% 76.78/77.14  Kept:         22488
% 76.78/77.14  Inuse:        803
% 76.78/77.14  Deleted:      101
% 76.78/77.14  Deletedinuse: 4
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  Intermediate Status:
% 76.78/77.14  Generated:    157402
% 76.78/77.14  Kept:         24510
% 76.78/77.14  Inuse:        833
% 76.78/77.14  Deleted:      101
% 76.78/77.14  Deletedinuse: 4
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  Intermediate Status:
% 76.78/77.14  Generated:    168701
% 76.78/77.14  Kept:         26514
% 76.78/77.14  Inuse:        853
% 76.78/77.14  Deleted:      101
% 76.78/77.14  Deletedinuse: 4
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  Intermediate Status:
% 76.78/77.14  Generated:    244913
% 76.78/77.14  Kept:         28551
% 76.78/77.14  Inuse:        916
% 76.78/77.14  Deleted:      101
% 76.78/77.14  Deletedinuse: 4
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  Intermediate Status:
% 76.78/77.14  Generated:    313985
% 76.78/77.14  Kept:         30577
% 76.78/77.14  Inuse:        964
% 76.78/77.14  Deleted:      101
% 76.78/77.14  Deletedinuse: 4
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  Intermediate Status:
% 76.78/77.14  Generated:    485274
% 76.78/77.14  Kept:         32603
% 76.78/77.14  Inuse:        1047
% 76.78/77.14  Deleted:      101
% 76.78/77.14  Deletedinuse: 4
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  Intermediate Status:
% 76.78/77.14  Generated:    608024
% 76.78/77.14  Kept:         34610
% 76.78/77.14  Inuse:        1141
% 76.78/77.14  Deleted:      103
% 76.78/77.14  Deletedinuse: 4
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  Intermediate Status:
% 76.78/77.14  Generated:    710437
% 76.78/77.14  Kept:         36627
% 76.78/77.14  Inuse:        1255
% 76.78/77.14  Deleted:      103
% 76.78/77.14  Deletedinuse: 4
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  Intermediate Status:
% 76.78/77.14  Generated:    786699
% 76.78/77.14  Kept:         38638
% 76.78/77.14  Inuse:        1370
% 76.78/77.14  Deleted:      103
% 76.78/77.14  Deletedinuse: 4
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  Intermediate Status:
% 76.78/77.14  Generated:    836545
% 76.78/77.14  Kept:         42487
% 76.78/77.14  Inuse:        1397
% 76.78/77.14  Deleted:      111
% 76.78/77.14  Deletedinuse: 4
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  Resimplifying clauses:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  Intermediate Status:
% 76.78/77.14  Generated:    867352
% 76.78/77.14  Kept:         44549
% 76.78/77.14  Inuse:        1446
% 76.78/77.14  Deleted:      348
% 76.78/77.14  Deletedinuse: 4
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  Intermediate Status:
% 76.78/77.14  Generated:    909909
% 76.78/77.14  Kept:         46551
% 76.78/77.14  Inuse:        1493
% 76.78/77.14  Deleted:      380
% 76.78/77.14  Deletedinuse: 4
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  Intermediate Status:
% 76.78/77.14  Generated:    960521
% 76.78/77.14  Kept:         48579
% 76.78/77.14  Inuse:        1540
% 76.78/77.14  Deleted:      380
% 76.78/77.14  Deletedinuse: 4
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  Resimplifying inuse:
% 76.78/77.14  Done
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  Bliksems!, er is een bewijs:
% 76.78/77.14  % SZS status Unsatisfiable
% 76.78/77.14  % SZS output start Refutation
% 76.78/77.14  
% 76.78/77.14  clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 76.78/77.14  .
% 76.78/77.14  clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y, 
% 76.78/77.14    'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 76.78/77.14  .
% 76.78/77.14  clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U, 
% 76.78/77.14    'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 76.78/77.14  .
% 76.78/77.14  clause( 32, [ ~( =( X, Y ) ), =( reflection( X, Y ), Y ) ] )
% 76.78/77.14  .
% 76.78/77.14  clause( 33, [ =( reflection( X, X ), X ) ] )
% 76.78/77.14  .
% 76.78/77.14  clause( 42, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 76.78/77.14  .
% 76.78/77.14  clause( 44, [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z ) ]
% 76.78/77.14     )
% 76.78/77.14  .
% 76.78/77.14  clause( 45, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 76.78/77.14  .
% 76.78/77.14  clause( 47, [ between( u, v, w ) ] )
% 76.78/77.14  .
% 76.78/77.14  clause( 48, [ between( v, u, w ) ] )
% 76.78/77.14  .
% 76.78/77.14  clause( 49, [ ~( =( v, u ) ) ] )
% 76.78/77.14  .
% 76.78/77.14  clause( 91, [ between( u, X, w ), ~( between( v, X, v ) ) ] )
% 76.78/77.14  .
% 76.78/77.14  clause( 101, [ ~( =( X, u ) ), ~( between( v, X, v ) ) ] )
% 76.78/77.14  .
% 76.78/77.14  clause( 104, [ ~( between( v, u, v ) ) ] )
% 76.78/77.14  .
% 76.78/77.14  clause( 362, [ ~( between( X, Y, w ) ), between( Y, 'inner_pasch'( X, Y, w
% 76.78/77.14    , u, v ), v ) ] )
% 76.78/77.14  .
% 76.78/77.14  clause( 428, [ ~( between( X, Y, Z ) ), ~( between( T, X, Z ) ), =( 
% 76.78/77.14    'inner_pasch'( X, Y, Z, X, T ), X ) ] )
% 76.78/77.14  .
% 76.78/77.14  clause( 1883, [ ~( =( X, Y ) ), =( Y, X ) ] )
% 76.78/77.14  .
% 76.78/77.14  clause( 2015, [ between( u, v, X ), ~( =( X, w ) ) ] )
% 76.78/77.14  .
% 76.78/77.14  clause( 4117, [ ~( between( X, u, v ) ), ~( =( X, v ) ) ] )
% 76.78/77.14  .
% 76.78/77.14  clause( 5524, [ ~( =( X, v ) ), ~( between( v, u, X ) ) ] )
% 76.78/77.14  .
% 76.78/77.14  clause( 5624, [ ~( between( v, u, X ) ), ~( between( X, v, X ) ) ] )
% 76.78/77.14  .
% 76.78/77.14  clause( 15095, [ ~( between( X, u, Y ) ), ~( between( Y, X, Y ) ), ~( 
% 76.78/77.14    between( v, X, v ) ) ] )
% 76.78/77.14  .
% 76.78/77.14  clause( 15099, [ ~( between( X, u, v ) ), ~( between( v, X, v ) ) ] )
% 76.78/77.14  .
% 76.78/77.14  clause( 49781, [ ~( between( u, X, w ) ), between( X, u, v ) ] )
% 76.78/77.14  .
% 76.78/77.14  clause( 49869, [ ~( between( v, X, v ) ) ] )
% 76.78/77.14  .
% 76.78/77.14  clause( 49876, [] )
% 76.78/77.14  .
% 76.78/77.14  
% 76.78/77.14  
% 76.78/77.14  % SZS output end Refutation
% 76.78/77.14  found a proof!
% 76.78/77.14  
% 76.78/77.14  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 76.78/77.14  
% 76.78/77.14  initialclauses(
% 76.78/77.14  [ clause( 49878, [ equidistant( X, Y, Y, X ) ] )
% 76.78/77.14  , clause( 49879, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 76.78/77.14    , W ) ), equidistant( Z, T, U, W ) ] )
% 76.78/77.14  , clause( 49880, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 76.78/77.14  , clause( 49881, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 76.78/77.14  , clause( 49882, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 76.78/77.14  , clause( 49883, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 76.78/77.14    , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 76.78/77.14     ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), 
% 76.78/77.14    equidistant( U, V0, W, V1 ) ] )
% 76.78/77.14  , clause( 49884, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 76.78/77.14  , clause( 49885, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), 
% 76.78/77.14    between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 76.78/77.14  , clause( 49886, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), 
% 76.78/77.14    between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 76.78/77.14  , clause( 49887, [ ~( between( 'lower_dimension_point_1', 
% 76.78/77.14    'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 76.78/77.14  , clause( 49888, [ ~( between( 'lower_dimension_point_2', 
% 76.78/77.14    'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 76.78/77.14  , clause( 49889, [ ~( between( 'lower_dimension_point_3', 
% 76.78/77.14    'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 76.78/77.14  , clause( 49890, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 76.78/77.14    , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, 
% 76.78/77.14    U, X ), between( U, X, T ), =( Y, Z ) ] )
% 76.78/77.14  , clause( 49891, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 76.78/77.14    Y ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 76.78/77.14  , clause( 49892, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 76.78/77.14    Y ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 76.78/77.14  , clause( 49893, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 76.78/77.14    Y ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ]
% 76.78/77.14     )
% 76.78/77.14  , clause( 49894, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 76.78/77.14    , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, 
% 76.78/77.14    continuous( X, Y, Z, W, T, U ), U ) ] )
% 76.78/77.14  , clause( 49895, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 76.78/77.14    , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 76.78/77.14    , W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 76.78/77.14  , clause( 49896, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 76.78/77.14  , clause( 49897, [ equidistant( X, Y, X, Y ) ] )
% 76.78/77.14  , clause( 49898, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y
% 76.78/77.14     ) ] )
% 76.78/77.14  , clause( 49899, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T
% 76.78/77.14     ) ] )
% 76.78/77.14  , clause( 49900, [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z
% 76.78/77.14     ) ] )
% 76.78/77.14  , clause( 49901, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z
% 76.78/77.14     ) ] )
% 76.78/77.14  , clause( 49902, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X
% 76.78/77.14     ) ] )
% 76.78/77.14  , clause( 49903, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y
% 76.78/77.14     ) ] )
% 76.78/77.14  , clause( 49904, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X
% 76.78/77.14     ) ] )
% 76.78/77.14  , clause( 49905, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U
% 76.78/77.14    , W ) ), equidistant( X, Y, U, W ) ] )
% 76.78/77.14  , clause( 49906, [ =( X, extension( Y, X, Z, Z ) ) ] )
% 76.78/77.14  , clause( 49907, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X )
% 76.78/77.14     ] )
% 76.78/77.14  , clause( 49908, [ between( X, Y, reflection( X, Y ) ) ] )
% 76.78/77.14  , clause( 49909, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 76.78/77.14  , clause( 49910, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 76.78/77.14  , clause( 49911, [ =( X, reflection( X, X ) ) ] )
% 76.78/77.14  , clause( 49912, [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ] )
% 76.78/77.14  , clause( 49913, [ equidistant( X, X, Y, Y ) ] )
% 76.78/77.14  , clause( 49914, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 76.78/77.14    , W ) ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X
% 76.78/77.14    , U, Z, W ) ] )
% 76.78/77.14  , clause( 49915, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~( 
% 76.78/77.14    equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 76.78/77.14  , clause( 49916, [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, 
% 76.78/77.14    Y, Y, Z ) ) ] )
% 76.78/77.14  , clause( 49917, [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y
% 76.78/77.14     ), extension( U, W, Z, T ) ), =( U, W ) ] )
% 76.78/77.14  , clause( 49918, [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ), 
% 76.78/77.14    =( X, Y ) ] )
% 76.78/77.14  , clause( 49919, [ equidistant( X, Y,Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------