TSTP Solution File: GEO046-3 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GEO046-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n017.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 02:51:09 EDT 2022

% Result   : Unsatisfiable 41.95s 42.38s
% Output   : Refutation 41.95s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : GEO046-3 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.15  % Command  : bliksem %s
% 0.16/0.36  % Computer : n017.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % DateTime : Fri Jun 17 16:19:11 EDT 2022
% 0.16/0.36  % CPUTime  : 
% 2.25/2.60  *** allocated 10000 integers for termspace/termends
% 2.25/2.60  *** allocated 10000 integers for clauses
% 2.25/2.60  *** allocated 10000 integers for justifications
% 2.25/2.60  Bliksem 1.12
% 2.25/2.60  
% 2.25/2.60  
% 2.25/2.60  Automatic Strategy Selection
% 2.25/2.60  
% 2.25/2.60  Clauses:
% 2.25/2.60  [
% 2.25/2.60     [ equidistant( X, Y, Y, X ) ],
% 2.25/2.60     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ), 
% 2.25/2.60    equidistant( Z, T, U, W ) ],
% 2.25/2.60     [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 2.25/2.60     [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 2.25/2.60     [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 2.25/2.60     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~( 
% 2.25/2.60    equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~( 
% 2.25/2.60    between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 2.25/2.60    , V0, W, V1 ) ],
% 2.25/2.60     [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 2.25/2.60     [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y, 
% 2.25/2.60    'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 2.25/2.60     [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U, 
% 2.25/2.60    'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 2.25/2.60     [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2', 
% 2.25/2.60    'lower_dimension_point_3' ) ) ],
% 2.25/2.60     [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3', 
% 2.25/2.60    'lower_dimension_point_1' ) ) ],
% 2.25/2.60     [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1', 
% 2.25/2.60    'lower_dimension_point_2' ) ) ],
% 2.25/2.60     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~( 
% 2.25/2.60    equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ), 
% 2.25/2.60    between( U, X, T ), =( Y, Z ) ],
% 2.25/2.60     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 2.25/2.60    X, T, euclid1( X, T, Y, U, Z ) ) ],
% 2.25/2.60     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 2.25/2.60    X, U, euclid2( X, T, Y, U, Z ) ) ],
% 2.25/2.60     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 2.25/2.60    euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 2.25/2.60     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~( 
% 2.25/2.60    between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 2.25/2.60    , Y, Z, W, T, U ), U ) ],
% 2.25/2.60     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~( 
% 2.25/2.60    between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X, 
% 2.25/2.60    continuous( X, Y, Z, W, T, U ) ) ],
% 2.25/2.60     [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ],
% 2.25/2.60     [ equidistant( X, Y, X, Y ) ],
% 2.25/2.60     [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ],
% 2.25/2.60     [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ],
% 2.25/2.60     [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z ) ],
% 2.25/2.60     [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z ) ],
% 2.25/2.60     [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X ) ],
% 2.25/2.60     [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y ) ],
% 2.25/2.60     [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X ) ],
% 2.25/2.60     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U, W ) ), 
% 2.25/2.60    equidistant( X, Y, U, W ) ],
% 2.25/2.60     [ =( X, extension( Y, X, Z, Z ) ) ],
% 2.25/2.60     [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ],
% 2.25/2.60     [ between( X, Y, reflection( X, Y ) ) ],
% 2.25/2.60     [ equidistant( X, reflection( Y, X ), Y, X ) ],
% 2.25/2.60     [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ],
% 2.25/2.60     [ =( X, reflection( X, X ) ) ],
% 2.25/2.60     [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ],
% 2.25/2.60     [ equidistant( X, X, Y, Y ) ],
% 2.25/2.60     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~( 
% 2.25/2.60    between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X, U, Z, W )
% 2.25/2.60     ],
% 2.25/2.60     [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~( equidistant( Y, Z
% 2.25/2.60    , Y, T ) ), =( X, Y ), =( Z, T ) ],
% 2.25/2.60     [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, Y, Y, Z ) ) ]
% 2.25/2.60    ,
% 2.25/2.60     [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y ), extension( 
% 2.25/2.60    U, W, Z, T ) ), =( U, W ) ],
% 2.25/2.60     [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ), =( X, Y ) ]
% 2.25/2.60    ,
% 2.25/2.60     [ equidistant( X, Y, X, reflection( reflection( Y, X ), X ) ) ],
% 2.25/2.60     [ =( X, reflection( reflection( X, Y ), Y ) ) ],
% 2.25/2.60     [ between( X, Y, Y ) ],
% 2.25/2.60     [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z ) ],
% 2.25/2.60     [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ],
% 2.25/2.60     [ between( X, X, Y ) ],
% 2.25/2.60     [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ) ],
% 41.95/42.38     [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, Z ) ],
% 41.95/42.38     [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ), =( Y, Z )
% 41.95/42.38     ],
% 41.95/42.38     [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X, Y ), =( Y, Z )
% 41.95/42.38     ],
% 41.95/42.38     [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, Z ) ]
% 41.95/42.38    ,
% 41.95/42.38     [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( Y, Z, T ) ]
% 41.95/42.38    ,
% 41.95/42.38     [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Z, T ), 
% 41.95/42.38    =( Y, Z ) ],
% 41.95/42.38     [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, T ), 
% 41.95/42.38    =( Y, Z ) ],
% 41.95/42.38     [ between( u, v, x ) ],
% 41.95/42.38     [ between( v, w, x ) ],
% 41.95/42.38     [ ~( between( u, w, x ) ) ]
% 41.95/42.38  ] .
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  percentage equality = 0.218045, percentage horn = 0.800000
% 41.95/42.38  This is a problem with some equality
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Options Used:
% 41.95/42.38  
% 41.95/42.38  useres =            1
% 41.95/42.38  useparamod =        1
% 41.95/42.38  useeqrefl =         1
% 41.95/42.38  useeqfact =         1
% 41.95/42.38  usefactor =         1
% 41.95/42.38  usesimpsplitting =  0
% 41.95/42.38  usesimpdemod =      5
% 41.95/42.38  usesimpres =        3
% 41.95/42.38  
% 41.95/42.38  resimpinuse      =  1000
% 41.95/42.38  resimpclauses =     20000
% 41.95/42.38  substype =          eqrewr
% 41.95/42.38  backwardsubs =      1
% 41.95/42.38  selectoldest =      5
% 41.95/42.38  
% 41.95/42.38  litorderings [0] =  split
% 41.95/42.38  litorderings [1] =  extend the termordering, first sorting on arguments
% 41.95/42.38  
% 41.95/42.38  termordering =      kbo
% 41.95/42.38  
% 41.95/42.38  litapriori =        0
% 41.95/42.38  termapriori =       1
% 41.95/42.38  litaposteriori =    0
% 41.95/42.38  termaposteriori =   0
% 41.95/42.38  demodaposteriori =  0
% 41.95/42.38  ordereqreflfact =   0
% 41.95/42.38  
% 41.95/42.38  litselect =         negord
% 41.95/42.38  
% 41.95/42.38  maxweight =         15
% 41.95/42.38  maxdepth =          30000
% 41.95/42.38  maxlength =         115
% 41.95/42.38  maxnrvars =         195
% 41.95/42.38  excuselevel =       1
% 41.95/42.38  increasemaxweight = 1
% 41.95/42.38  
% 41.95/42.38  maxselected =       10000000
% 41.95/42.38  maxnrclauses =      10000000
% 41.95/42.38  
% 41.95/42.38  showgenerated =    0
% 41.95/42.38  showkept =         0
% 41.95/42.38  showselected =     0
% 41.95/42.38  showdeleted =      0
% 41.95/42.38  showresimp =       1
% 41.95/42.38  showstatus =       2000
% 41.95/42.38  
% 41.95/42.38  prologoutput =     1
% 41.95/42.38  nrgoals =          5000000
% 41.95/42.38  totalproof =       1
% 41.95/42.38  
% 41.95/42.38  Symbols occurring in the translation:
% 41.95/42.38  
% 41.95/42.38  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 41.95/42.38  .  [1, 2]      (w:1, o:34, a:1, s:1, b:0), 
% 41.95/42.38  !  [4, 1]      (w:0, o:29, a:1, s:1, b:0), 
% 41.95/42.38  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 41.95/42.38  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 41.95/42.38  equidistant  [41, 4]      (w:1, o:61, a:1, s:1, b:0), 
% 41.95/42.38  extension  [46, 4]      (w:1, o:62, a:1, s:1, b:0), 
% 41.95/42.38  between  [47, 3]      (w:1, o:60, a:1, s:1, b:0), 
% 41.95/42.38  'inner_pasch'  [53, 5]      (w:1, o:63, a:1, s:1, b:0), 
% 41.95/42.38  'lower_dimension_point_1'  [54, 0]      (w:1, o:22, a:1, s:1, b:0), 
% 41.95/42.38  'lower_dimension_point_2'  [55, 0]      (w:1, o:23, a:1, s:1, b:0), 
% 41.95/42.38  'lower_dimension_point_3'  [56, 0]      (w:1, o:24, a:1, s:1, b:0), 
% 41.95/42.38  euclid1  [57, 5]      (w:1, o:64, a:1, s:1, b:0), 
% 41.95/42.38  euclid2  [58, 5]      (w:1, o:65, a:1, s:1, b:0), 
% 41.95/42.38  continuous  [59, 6]      (w:1, o:66, a:1, s:1, b:0), 
% 41.95/42.38  reflection  [60, 2]      (w:1, o:59, a:1, s:1, b:0), 
% 41.95/42.38  u  [63, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 41.95/42.38  v  [64, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 41.95/42.38  x  [65, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 41.95/42.38  w  [66, 0]      (w:1, o:27, a:1, s:1, b:0).
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Starting Search:
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Intermediate Status:
% 41.95/42.38  Generated:    9650
% 41.95/42.38  Kept:         2009
% 41.95/42.38  Inuse:        130
% 41.95/42.38  Deleted:      0
% 41.95/42.38  Deletedinuse: 0
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Intermediate Status:
% 41.95/42.38  Generated:    18679
% 41.95/42.38  Kept:         4023
% 41.95/42.38  Inuse:        160
% 41.95/42.38  Deleted:      0
% 41.95/42.38  Deletedinuse: 0
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Intermediate Status:
% 41.95/42.38  Generated:    28956
% 41.95/42.38  Kept:         6052
% 41.95/42.38  Inuse:        196
% 41.95/42.38  Deleted:      2
% 41.95/42.38  Deletedinuse: 0
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Intermediate Status:
% 41.95/42.38  Generated:    42552
% 41.95/42.38  Kept:         8075
% 41.95/42.38  Inuse:        262
% 41.95/42.38  Deleted:      8
% 41.95/42.38  Deletedinuse: 0
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Intermediate Status:
% 41.95/42.38  Generated:    52011
% 41.95/42.38  Kept:         10088
% 41.95/42.38  Inuse:        314
% 41.95/42.38  Deleted:      12
% 41.95/42.38  Deletedinuse: 0
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Intermediate Status:
% 41.95/42.38  Generated:    62540
% 41.95/42.38  Kept:         12115
% 41.95/42.38  Inuse:        366
% 41.95/42.38  Deleted:      12
% 41.95/42.38  Deletedinuse: 0
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Intermediate Status:
% 41.95/42.38  Generated:    73205
% 41.95/42.38  Kept:         14134
% 41.95/42.38  Inuse:        416
% 41.95/42.38  Deleted:      12
% 41.95/42.38  Deletedinuse: 0
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Intermediate Status:
% 41.95/42.38  Generated:    86290
% 41.95/42.38  Kept:         16313
% 41.95/42.38  Inuse:        462
% 41.95/42.38  Deleted:      14
% 41.95/42.38  Deletedinuse: 0
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Intermediate Status:
% 41.95/42.38  Generated:    95432
% 41.95/42.38  Kept:         18318
% 41.95/42.38  Inuse:        514
% 41.95/42.38  Deleted:      22
% 41.95/42.38  Deletedinuse: 0
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  Resimplifying clauses:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Intermediate Status:
% 41.95/42.38  Generated:    107832
% 41.95/42.38  Kept:         20324
% 41.95/42.38  Inuse:        576
% 41.95/42.38  Deleted:      145
% 41.95/42.38  Deletedinuse: 0
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Intermediate Status:
% 41.95/42.38  Generated:    121783
% 41.95/42.38  Kept:         22348
% 41.95/42.38  Inuse:        645
% 41.95/42.38  Deleted:      145
% 41.95/42.38  Deletedinuse: 0
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Intermediate Status:
% 41.95/42.38  Generated:    135167
% 41.95/42.38  Kept:         24871
% 41.95/42.38  Inuse:        684
% 41.95/42.38  Deleted:      145
% 41.95/42.38  Deletedinuse: 0
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Intermediate Status:
% 41.95/42.38  Generated:    142534
% 41.95/42.38  Kept:         27057
% 41.95/42.38  Inuse:        694
% 41.95/42.38  Deleted:      145
% 41.95/42.38  Deletedinuse: 0
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Intermediate Status:
% 41.95/42.38  Generated:    153954
% 41.95/42.38  Kept:         29322
% 41.95/42.38  Inuse:        734
% 41.95/42.38  Deleted:      145
% 41.95/42.38  Deletedinuse: 0
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Intermediate Status:
% 41.95/42.38  Generated:    167058
% 41.95/42.38  Kept:         31348
% 41.95/42.38  Inuse:        787
% 41.95/42.38  Deleted:      145
% 41.95/42.38  Deletedinuse: 0
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Intermediate Status:
% 41.95/42.38  Generated:    182045
% 41.95/42.38  Kept:         33352
% 41.95/42.38  Inuse:        852
% 41.95/42.38  Deleted:      145
% 41.95/42.38  Deletedinuse: 0
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Intermediate Status:
% 41.95/42.38  Generated:    198460
% 41.95/42.38  Kept:         35360
% 41.95/42.38  Inuse:        923
% 41.95/42.38  Deleted:      149
% 41.95/42.38  Deletedinuse: 2
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Intermediate Status:
% 41.95/42.38  Generated:    208348
% 41.95/42.38  Kept:         37377
% 41.95/42.38  Inuse:        962
% 41.95/42.38  Deleted:      149
% 41.95/42.38  Deletedinuse: 2
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Intermediate Status:
% 41.95/42.38  Generated:    220280
% 41.95/42.38  Kept:         39408
% 41.95/42.38  Inuse:        1010
% 41.95/42.38  Deleted:      149
% 41.95/42.38  Deletedinuse: 2
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  Resimplifying clauses:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Intermediate Status:
% 41.95/42.38  Generated:    231394
% 41.95/42.38  Kept:         41435
% 41.95/42.38  Inuse:        1049
% 41.95/42.38  Deleted:      321
% 41.95/42.38  Deletedinuse: 2
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Intermediate Status:
% 41.95/42.38  Generated:    242986
% 41.95/42.38  Kept:         43449
% 41.95/42.38  Inuse:        1092
% 41.95/42.38  Deleted:      321
% 41.95/42.38  Deletedinuse: 2
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Intermediate Status:
% 41.95/42.38  Generated:    254292
% 41.95/42.38  Kept:         45490
% 41.95/42.38  Inuse:        1135
% 41.95/42.38  Deleted:      321
% 41.95/42.38  Deletedinuse: 2
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Intermediate Status:
% 41.95/42.38  Generated:    359620
% 41.95/42.38  Kept:         47501
% 41.95/42.38  Inuse:        1185
% 41.95/42.38  Deleted:      321
% 41.95/42.38  Deletedinuse: 2
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Intermediate Status:
% 41.95/42.38  Generated:    476684
% 41.95/42.38  Kept:         49539
% 41.95/42.38  Inuse:        1241
% 41.95/42.38  Deleted:      321
% 41.95/42.38  Deletedinuse: 2
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  Resimplifying inuse:
% 41.95/42.38  Done
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Intermediate Status:
% 41.95/42.38  Generated:    589667
% 41.95/42.38  Kept:         51579
% 41.95/42.38  Inuse:        1288
% 41.95/42.38  Deleted:      321
% 41.95/42.38  Deletedinuse: 2
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  Bliksems!, er is een bewijs:
% 41.95/42.38  % SZS status Unsatisfiable
% 41.95/42.38  % SZS output start Refutation
% 41.95/42.38  
% 41.95/42.38  clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 28, [ =( extension( Y, X, Z, Z ), X ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 29, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 32, [ ~( =( X, Y ) ), =( reflection( X, Y ), Y ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 33, [ =( reflection( X, X ), X ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 35, [ equidistant( X, X, Y, Y ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 42, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 43, [ between( X, Y, Y ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 45, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 49, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( Y
% 41.95/42.38    , Z, T ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 50, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X
% 41.95/42.38    , Z, T ), =( Y, Z ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 52, [ between( u, v, x ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 53, [ between( v, w, x ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 54, [ ~( between( u, w, x ) ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 150, [ ~( between( u, w, X ) ), ~( equidistant( X, x, Y, Y ) ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 181, [ between( x, v, u ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 182, [ between( x, w, v ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 183, [ ~( between( x, w, u ) ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 258, [ ~( between( x, X, u ) ), ~( between( w, X, w ) ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 1636, [ ~( between( w, v, w ) ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 1661, [ ~( between( X, v, X ) ), ~( between( w, X, w ) ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 1688, [ ~( between( Y, v, Y ) ), ~( between( X, Y, X ) ), ~( 
% 41.95/42.38    between( X, w, X ) ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 1689, [ ~( between( v, w, v ) ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 1907, [ ~( =( T, Y ) ), between( X, Y, T ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 1915, [ ~( =( w, v ) ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 1974, [ ~( =( X, Y ) ), =( Y, X ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 3147, [ ~( =( X, v ) ), ~( =( X, w ) ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 3243, [ between( x, v, X ), ~( =( X, u ) ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 3270, [ between( X, w, x ), ~( =( X, v ) ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 14498, [ ~( =( X, v ) ), ~( between( Y, X, w ) ), between( Y, w, x
% 41.95/42.38     ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 14537, [ ~( between( X, v, w ) ), between( X, w, x ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 50087, [ ~( between( u, v, w ) ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 50150, [ ~( between( w, v, u ) ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 50215, [ ~( between( X, w, v ) ), ~( between( X, v, u ) ) ] )
% 41.95/42.38  .
% 41.95/42.38  clause( 51840, [] )
% 41.95/42.38  .
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  % SZS output end Refutation
% 41.95/42.38  found a proof!
% 41.95/42.38  
% 41.95/42.38  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 41.95/42.38  
% 41.95/42.38  initialclauses(
% 41.95/42.38  [ clause( 51842, [ equidistant( X, Y, Y, X ) ] )
% 41.95/42.38  , clause( 51843, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 41.95/42.38    , W ) ), equidistant( Z, T, U, W ) ] )
% 41.95/42.38  , clause( 51844, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 41.95/42.38  , clause( 51845, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 41.95/42.38  , clause( 51846, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 41.95/42.38  , clause( 51847, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 41.95/42.38    , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 41.95/42.38     ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), 
% 41.95/42.38    equidistant( U, V0, W, V1 ) ] )
% 41.95/42.38  , clause( 51848, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 41.95/42.38  , clause( 51849, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), 
% 41.95/42.38    between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 41.95/42.38  , clause( 51850, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), 
% 41.95/42.38    between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 41.95/42.38  , clause( 51851, [ ~( between( 'lower_dimension_point_1', 
% 41.95/42.38    'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 41.95/42.38  , clause( 51852, [ ~( between( 'lower_dimension_point_2', 
% 41.95/42.38    'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 41.95/42.38  , clause( 51853, [ ~( between( 'lower_dimension_point_3', 
% 41.95/42.38    'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 41.95/42.38  , clause( 51854, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 41.95/42.38    , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, 
% 41.95/42.38    U, X ), between( U, X, T ), =( Y, Z ) ] )
% 41.95/42.38  , clause( 51855, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 41.95/42.38    Y ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 41.95/42.38  , clause( 51856, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 41.95/42.38    Y ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 41.95/42.38  , clause( 51857, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 41.95/42.38    Y ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ]
% 41.95/42.38     )
% 41.95/42.38  , clause( 51858, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 41.95/42.38    , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, 
% 41.95/42.38    continuous( X, Y, Z, W, T, U ), U ) ] )
% 41.95/42.38  , clause( 51859, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 41.95/42.38    , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 41.95/42.38    , W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 41.95/42.38  , clause( 51860, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 41.95/42.38  , clause( 51861, [ equidistant( X, Y, X, Y ) ] )
% 41.95/42.38  , clause( 51862, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y
% 41.95/42.38     ) ] )
% 41.95/42.38  , clause( 51863, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T
% 41.95/42.38     ) ] )
% 41.95/42.38  , clause( 51864, [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z
% 41.95/42.38     ) ] )
% 41.95/42.38  , clause( 51865, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z
% 41.95/42.38     ) ] )
% 41.95/42.38  , clause( 51866, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X
% 41.95/42.38     ) ] )
% 41.95/42.38  , clause( 51867, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y
% 41.95/42.38     ) ] )
% 41.95/42.38  , clause( 51868, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X
% 41.95/42.38     ) ] )
% 41.95/42.38  , clause( 51869, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U
% 41.95/42.38    , W ) ), equidistant( X, Y, U, W ) ] )
% 41.95/42.38  , clause( 51870, [ =( X, extension( Y, X, Z, Z ) ) ] )
% 41.95/42.38  , clause( 51871, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X )
% 41.95/42.38     ] )
% 41.95/42.38  , clause( 51872, [ between( X, Y, reflection( X, Y ) ) ] )
% 41.95/42.38  , clause( 51873, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 41.95/42.38  , clause( 51874, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 41.95/42.38  , clause( 51875, [ =( X, reflection( X, X ) ) ] )
% 41.95/42.38  , clause( 51876, [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ] )
% 41.95/42.38  , clause( 51877, [ equidistant( X, X, Y, Y ) ] )
% 41.95/42.38  , clause( 51878, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 41.95/42.38    , W ) ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X
% 41.95/42.38    , U, Z, W ) ] )
% 41.95/42.38  , clause( 51879, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~( 
% 41.95/42.38    equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 41.95/42.38  , clause( 51880, [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, 
% 41.95/42.38    Y, Y, Z ) ) ] )
% 41.95/42.38  , clause( 51881, [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y
% 41.95/42.38     ), extension( U, W, Z, T ) ), =( U, W ) ] )
% 41.95/42.38  , clause( 51882, [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ), 
% 41.95/42.38    =( X, Y ) ] )
% 41.95/42.38  , clause( 51883, [ equidistant( X, Y, X, reflection( reflection( Y, X ), X
% 41.95/42.38     ) ) ] )
% 41.95/42.38  , clause( 51884, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 41.95/42.38  , clause( 51885, [ between( X, Y, Y ) ] )
% 41.95/42.38  , clause( 51886, [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, 
% 41.95/42.38    Z ) ] )
% 41.95/42.38  , clause( 51887, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 41.95/42.38  , clause( 51888, [ between( X, X, Y ) ] )
% 41.95/42.38  , clause( 51889, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, 
% 41.95/42.38    Y ) ] )
% 41.95/42.38  , clause( 51890, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, 
% 41.95/42.38    Z ) ] )
% 41.95/42.38  , clause( 51891, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, 
% 41.95/42.38    Y ), =( Y, Z ) ] )
% 41.95/42.38  , clause( 51892, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X, 
% 41.95/42.38    Y ), =( Y, Z ) ] )
% 41.95/42.38  , clause( 51893, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), 
% 41.95/42.38    between( X, Y, Z ) ] )
% 41.95/42.38  , clause( 51894, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), 
% 41.95/42.38    between( Y, Z, T ) ] )
% 41.95/42.38  , clause( 51895, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), 
% 41.95/42.38    between( X, Z, T ), =( Y, Z ) ] )
% 41.95/42.38  , clause( 51896, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), 
% 41.95/42.38    between( X, Y, T ), =( Y, Z ) ] )
% 41.95/42.38  , clause( 51897, [ between( u, v, x ) ] )
% 41.95/42.38  , clause( 51898, [ between( v, w, x ) ] )
% 41.95/42.38  , clause( 51899, [ ~( between( u, w, x ) ) ] )
% 41.95/42.38  ] ).
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  subsumption(
% 41.95/42.38  clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 41.95/42.38  , clause( 51844, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 41.95/42.38  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 41.95/42.38    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  subsumption(
% 41.95/42.38  clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 41.95/42.38  , clause( 51848, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 41.95/42.38  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 41.95/42.38     ), ==>( 1, 1 )] ) ).
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  eqswap(
% 41.95/42.38  clause( 51994, [ =( extension( Y, X, Z, Z ), X ) ] )
% 41.95/42.38  , clause( 51870, [ =( X, extension( Y, X, Z, Z ) ) ] )
% 41.95/42.38  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  subsumption(
% 41.95/42.38  clause( 28, [ =( extension( Y, X, Z, Z ), X ) ] )
% 41.95/42.38  , clause( 51994, [ =( extension( Y, X, Z, Z ), X ) ] )
% 41.95/42.38  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 41.95/42.38    permutation( 0, [ ==>( 0, 0 )] ) ).
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  subsumption(
% 41.95/42.38  clause( 29, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ] )
% 41.95/42.38  , clause( 51871, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X )
% 41.95/42.38     ] )
% 41.95/42.38  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 41.95/42.38    , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  eqswap(
% 41.95/42.38  clause( 52120, [ =( reflection( Y, X ), X ), ~( =( Y, X ) ) ] )
% 41.95/42.38  , clause( 51874, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 41.95/42.38  , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 41.95/42.38  
% 41.95/42.38  
% 41.95/42.38  subsumption(
% 41.95/42.38  clause( 32, [ ~( =( X, Y ) ), =( reflection( X, Y ), Y ) ] )
% 41.95/42.38  , clause( 52120, [ =( reflection( Y, X ), X ), ~( =( Y, X ) ) ] )
% 41.95/42.38  , substitutCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------