TSTP Solution File: GEO007-3 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GEO007-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n024.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 02:50:45 EDT 2022

% Result   : Unsatisfiable 188.63s 189.05s
% Output   : Refutation 188.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO007-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n024.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 04:19:02 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.71/1.09  *** allocated 10000 integers for termspace/termends
% 0.71/1.09  *** allocated 10000 integers for clauses
% 0.71/1.09  *** allocated 10000 integers for justifications
% 0.71/1.09  Bliksem 1.12
% 0.71/1.09  
% 0.71/1.09  
% 0.71/1.09  Automatic Strategy Selection
% 0.71/1.09  
% 0.71/1.09  Clauses:
% 0.71/1.09  [
% 0.71/1.09     [ equidistant( X, Y, Y, X ) ],
% 0.71/1.09     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ), 
% 0.71/1.09    equidistant( Z, T, U, W ) ],
% 0.71/1.09     [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.71/1.09     [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.71/1.09     [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.71/1.09     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~( 
% 0.71/1.09    equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~( 
% 0.71/1.09    between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.71/1.09    , V0, W, V1 ) ],
% 0.71/1.09     [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.71/1.09     [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y, 
% 0.71/1.09    'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.71/1.09     [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U, 
% 0.71/1.09    'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.71/1.09     [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2', 
% 0.71/1.09    'lower_dimension_point_3' ) ) ],
% 0.71/1.09     [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3', 
% 0.71/1.09    'lower_dimension_point_1' ) ) ],
% 0.71/1.09     [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1', 
% 0.71/1.09    'lower_dimension_point_2' ) ) ],
% 0.71/1.09     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~( 
% 0.71/1.09    equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ), 
% 0.71/1.09    between( U, X, T ), =( Y, Z ) ],
% 0.71/1.09     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 0.71/1.09    X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.71/1.09     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 0.71/1.09    X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.71/1.09     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 0.71/1.09    euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.71/1.09     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~( 
% 0.71/1.09    between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.71/1.09    , Y, Z, W, T, U ), U ) ],
% 0.71/1.09     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~( 
% 0.71/1.10    between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X, 
% 0.71/1.10    continuous( X, Y, Z, W, T, U ) ) ],
% 0.71/1.10     [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ],
% 0.71/1.10     [ =( insertion( X, Y, Z, T ), extension( extension( Y, X, 
% 0.71/1.10    'lower_dimension_point_1', 'lower_dimension_point_2' ), X, Z, T ) ) ]
% 0.71/1.10    ,
% 0.71/1.10     [ equidistant( X, Y, X, Y ) ],
% 0.71/1.10     [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ],
% 0.71/1.10     [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ],
% 0.71/1.10     [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z ) ],
% 0.71/1.10     [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z ) ],
% 0.71/1.10     [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X ) ],
% 0.71/1.10     [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y ) ],
% 0.71/1.10     [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X ) ],
% 0.71/1.10     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U, W ) ), 
% 0.71/1.10    equidistant( X, Y, U, W ) ],
% 0.71/1.10     [ =( X, extension( Y, X, Z, Z ) ) ],
% 0.71/1.10     [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ],
% 0.71/1.10     [ between( X, Y, reflection( X, Y ) ) ],
% 0.71/1.10     [ equidistant( X, reflection( Y, X ), Y, X ) ],
% 0.71/1.10     [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ],
% 0.71/1.10     [ =( X, reflection( X, X ) ) ],
% 0.71/1.10     [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ],
% 0.71/1.10     [ equidistant( X, X, Y, Y ) ],
% 0.71/1.10     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~( 
% 0.71/1.10    between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X, U, Z, W )
% 0.71/1.10     ],
% 0.71/1.10     [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~( equidistant( Y, Z
% 0.71/1.10    , Y, T ) ), =( X, Y ), =( Z, T ) ],
% 0.71/1.10     [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, Y, Y, Z ) ) ]
% 0.71/1.10    ,
% 0.71/1.10     [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y ), extension( 
% 0.71/1.10    U, W, Z, T ) ), =( U, W ) ],
% 0.71/1.10     [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ), =( X, Y ) ]
% 0.71/1.10    ,
% 0.71/1.10     [ equidistant( X, Y, X, reflection( reflection( Y, X ), X ) ) ],
% 0.71/1.10     [ =( X, reflection( reflection( X, Y ), Y ) ) ],
% 0.71/1.10     [ between( X, Y, Y ) ],
% 0.71/1.10     [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z ) ],
% 7.91/8.30     [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ],
% 7.91/8.30     [ between( X, X, Y ) ],
% 7.91/8.30     [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ) ],
% 7.91/8.30     [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, Z ) ],
% 7.91/8.30     [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ), =( Y, Z )
% 7.91/8.30     ],
% 7.91/8.30     [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X, Y ), =( Y, Z )
% 7.91/8.30     ],
% 7.91/8.30     [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, Z ) ]
% 7.91/8.30    ,
% 7.91/8.30     [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( Y, Z, T ) ]
% 7.91/8.30    ,
% 7.91/8.30     [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Z, T ), 
% 7.91/8.30    =( Y, Z ) ],
% 7.91/8.30     [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, T ), 
% 7.91/8.30    =( Y, Z ) ],
% 7.91/8.30     [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X, T, Z ) ]
% 7.91/8.30    ,
% 7.91/8.30     [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( X, Y, T ) ]
% 7.91/8.30    ,
% 7.91/8.30     [ ~( =( 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ],
% 7.91/8.30     [ ~( =( 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ],
% 7.91/8.30     [ ~( =( 'lower_dimension_point_1', 'lower_dimension_point_3' ) ) ],
% 7.91/8.30     [ ~( =( X, extension( Y, X, 'lower_dimension_point_1', 
% 7.91/8.30    'lower_dimension_point_2' ) ) ) ],
% 7.91/8.30     [ equidistant( X, extension( Y, X, 'lower_dimension_point_1', 
% 7.91/8.30    'lower_dimension_point_2' ), Z, extension( T, Z, 
% 7.91/8.30    'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ],
% 7.91/8.30     [ between( X, Y, extension( X, Y, 'lower_dimension_point_1', 
% 7.91/8.30    'lower_dimension_point_2' ) ) ],
% 7.91/8.30     [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), ~( between( X, W, T
% 7.91/8.30     ) ), between( W, 'inner_pasch'( U, 'inner_pasch'( X, W, T, U, Z ), X, Y
% 7.91/8.30    , Z ), Z ), between( Y, 'inner_pasch'( U, 'inner_pasch'( X, W, T, U, Z )
% 7.91/8.30    , X, Y, Z ), U ) ],
% 7.91/8.30     [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, X, T ) ), ~( 
% 7.91/8.30    equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ],
% 7.91/8.30     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, U, Z, W ) ), ~( 
% 7.91/8.30    equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) ), ~( 
% 7.91/8.30    between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T, V1
% 7.91/8.30     ) ],
% 7.91/8.30     [ ~( between( X, Y, Z ) ), ~( between( T, U, W ) ), ~( equidistant( X, Y
% 7.91/8.30    , T, U ) ), ~( equidistant( X, Z, T, W ) ), equidistant( Y, Z, U, W ) ]
% 7.91/8.30    ,
% 7.91/8.30     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~( 
% 7.91/8.30    equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) ), ~( 
% 7.91/8.30    between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T, V1
% 7.91/8.30     ) ],
% 7.91/8.30     [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, T ) ), ~( 
% 7.91/8.30    equidistant( Z, Y, Z, T ) ), =( Y, T ) ],
% 7.91/8.30     [ equidistant( X, Y, Z, insertion( Z, T, X, Y ) ) ],
% 7.91/8.30     [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ), between( T, 
% 7.91/8.30    insertion( T, U, X, Y ), U ) ],
% 7.91/8.30     [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ), equidistant( 
% 7.91/8.30    Y, Z, insertion( T, U, X, Y ), U ) ],
% 7.91/8.30     [ ~( between( X, Y, Z ) ), =( Y, insertion( X, Z, X, Y ) ) ],
% 7.91/8.30     [ ~( equidistant( X, Y, Z, T ) ), =( insertion( U, W, X, Y ), insertion( 
% 7.91/8.30    U, W, Z, T ) ) ],
% 7.91/8.30     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~( 
% 7.91/8.30    equidistant( X, U, Z, W ) ), ~( between( X, Y, U ) ), between( Z, T, W )
% 7.91/8.30     ],
% 7.91/8.30     [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between( 
% 7.91/8.30    X, Z, T ), between( X, T, Z ) ],
% 7.91/8.30     [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between( 
% 7.91/8.30    Y, Z, T ), between( Y, T, Z ) ],
% 7.91/8.30     [ ~( =( a, c ) ) ],
% 7.91/8.30     [ between( d, a, c ) ],
% 7.91/8.30     [ between( e, a, c ) ],
% 7.91/8.30     [ ~( between( d, e, a ) ) ],
% 7.91/8.30     [ ~( between( e, d, a ) ) ]
% 7.91/8.30  ] .
% 7.91/8.30  
% 7.91/8.30  
% 7.91/8.30  percentage equality = 0.203883, percentage horn = 0.810127
% 7.91/8.30  This is a problem with some equality
% 7.91/8.30  
% 7.91/8.30  
% 7.91/8.30  
% 7.91/8.30  Options Used:
% 7.91/8.30  
% 7.91/8.30  useres =            1
% 7.91/8.30  useparamod =        1
% 7.91/8.30  useeqrefl =         1
% 7.91/8.30  useeqfact =         1
% 7.91/8.30  usefactor =         1
% 7.91/8.30  usesimpsplitting =  0
% 7.91/8.30  usesimpdemod =      5
% 7.91/8.30  usesimpres =        3
% 7.91/8.30  
% 7.91/8.30  resimpinuse      =  1000
% 7.91/8.30  resimpclauses =     20000
% 7.91/8.30  substype =          eqrewr
% 7.91/8.30  backwardsubs =      1
% 7.91/8.30  selectoldest =      5
% 7.91/8.30  
% 7.91/8.30  litorderings [0] =  split
% 7.91/8.30  litorderings [1] =  extend the termordering, first sorting on arguments
% 7.91/8.30  
% 7.91/8.30  termordering =      kbo
% 7.91/8.30  
% 7.91/8.30  litapriori =        0
% 108.26/108.71  termapriori =       1
% 108.26/108.71  litaposteriori =    0
% 108.26/108.71  termaposteriori =   0
% 108.26/108.71  demodaposteriori =  0
% 108.26/108.71  ordereqreflfact =   0
% 108.26/108.71  
% 108.26/108.71  litselect =         negord
% 108.26/108.71  
% 108.26/108.71  maxweight =         15
% 108.26/108.71  maxdepth =          30000
% 108.26/108.71  maxlength =         115
% 108.26/108.71  maxnrvars =         195
% 108.26/108.71  excuselevel =       1
% 108.26/108.71  increasemaxweight = 1
% 108.26/108.71  
% 108.26/108.71  maxselected =       10000000
% 108.26/108.71  maxnrclauses =      10000000
% 108.26/108.71  
% 108.26/108.71  showgenerated =    0
% 108.26/108.71  showkept =         0
% 108.26/108.71  showselected =     0
% 108.26/108.71  showdeleted =      0
% 108.26/108.71  showresimp =       1
% 108.26/108.71  showstatus =       2000
% 108.26/108.71  
% 108.26/108.71  prologoutput =     1
% 108.26/108.71  nrgoals =          5000000
% 108.26/108.71  totalproof =       1
% 108.26/108.71  
% 108.26/108.71  Symbols occurring in the translation:
% 108.26/108.71  
% 108.26/108.71  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 108.26/108.71  .  [1, 2]      (w:1, o:34, a:1, s:1, b:0), 
% 108.26/108.71  !  [4, 1]      (w:0, o:29, a:1, s:1, b:0), 
% 108.26/108.71  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 108.26/108.71  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 108.26/108.71  equidistant  [41, 4]      (w:1, o:61, a:1, s:1, b:0), 
% 108.26/108.71  extension  [46, 4]      (w:1, o:62, a:1, s:1, b:0), 
% 108.26/108.71  between  [47, 3]      (w:1, o:60, a:1, s:1, b:0), 
% 108.26/108.71  'inner_pasch'  [53, 5]      (w:1, o:64, a:1, s:1, b:0), 
% 108.26/108.71  'lower_dimension_point_1'  [54, 0]      (w:1, o:22, a:1, s:1, b:0), 
% 108.26/108.71  'lower_dimension_point_2'  [55, 0]      (w:1, o:23, a:1, s:1, b:0), 
% 108.26/108.71  'lower_dimension_point_3'  [56, 0]      (w:1, o:24, a:1, s:1, b:0), 
% 108.26/108.71  euclid1  [57, 5]      (w:1, o:65, a:1, s:1, b:0), 
% 108.26/108.71  euclid2  [58, 5]      (w:1, o:66, a:1, s:1, b:0), 
% 108.26/108.71  continuous  [59, 6]      (w:1, o:67, a:1, s:1, b:0), 
% 108.26/108.71  reflection  [60, 2]      (w:1, o:59, a:1, s:1, b:0), 
% 108.26/108.71  insertion  [63, 4]      (w:1, o:63, a:1, s:1, b:0), 
% 108.26/108.71  a  [64, 0]      (w:1, o:25, a:1, s:1, b:0), 
% 108.26/108.71  c  [65, 0]      (w:1, o:26, a:1, s:1, b:0), 
% 108.26/108.71  d  [66, 0]      (w:1, o:27, a:1, s:1, b:0), 
% 108.26/108.71  e  [67, 0]      (w:1, o:28, a:1, s:1, b:0).
% 108.26/108.71  
% 108.26/108.71  
% 108.26/108.71  Starting Search:
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  
% 108.26/108.71  Intermediate Status:
% 108.26/108.71  Generated:    8959
% 108.26/108.71  Kept:         2010
% 108.26/108.71  Inuse:        116
% 108.26/108.71  Deleted:      0
% 108.26/108.71  Deletedinuse: 0
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  
% 108.26/108.71  Intermediate Status:
% 108.26/108.71  Generated:    17664
% 108.26/108.71  Kept:         4098
% 108.26/108.71  Inuse:        161
% 108.26/108.71  Deleted:      0
% 108.26/108.71  Deletedinuse: 0
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  
% 108.26/108.71  Intermediate Status:
% 108.26/108.71  Generated:    28662
% 108.26/108.71  Kept:         6247
% 108.26/108.71  Inuse:        195
% 108.26/108.71  Deleted:      1
% 108.26/108.71  Deletedinuse: 0
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  
% 108.26/108.71  Intermediate Status:
% 108.26/108.71  Generated:    41788
% 108.26/108.71  Kept:         8326
% 108.26/108.71  Inuse:        230
% 108.26/108.71  Deleted:      1
% 108.26/108.71  Deletedinuse: 0
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  
% 108.26/108.71  Intermediate Status:
% 108.26/108.71  Generated:    54118
% 108.26/108.71  Kept:         10429
% 108.26/108.71  Inuse:        270
% 108.26/108.71  Deleted:      1
% 108.26/108.71  Deletedinuse: 0
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  
% 108.26/108.71  Intermediate Status:
% 108.26/108.71  Generated:    72409
% 108.26/108.71  Kept:         12461
% 108.26/108.71  Inuse:        318
% 108.26/108.71  Deleted:      5
% 108.26/108.71  Deletedinuse: 0
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  
% 108.26/108.71  Intermediate Status:
% 108.26/108.71  Generated:    85532
% 108.26/108.71  Kept:         14500
% 108.26/108.71  Inuse:        370
% 108.26/108.71  Deleted:      15
% 108.26/108.71  Deletedinuse: 0
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  
% 108.26/108.71  Intermediate Status:
% 108.26/108.71  Generated:    99064
% 108.26/108.71  Kept:         17060
% 108.26/108.71  Inuse:        407
% 108.26/108.71  Deleted:      19
% 108.26/108.71  Deletedinuse: 0
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  
% 108.26/108.71  Intermediate Status:
% 108.26/108.71  Generated:    110187
% 108.26/108.71  Kept:         19089
% 108.26/108.71  Inuse:        438
% 108.26/108.71  Deleted:      19
% 108.26/108.71  Deletedinuse: 0
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  Resimplifying clauses:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  
% 108.26/108.71  Intermediate Status:
% 108.26/108.71  Generated:    124286
% 108.26/108.71  Kept:         21096
% 108.26/108.71  Inuse:        496
% 108.26/108.71  Deleted:      169
% 108.26/108.71  Deletedinuse: 0
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  
% 108.26/108.71  Intermediate Status:
% 108.26/108.71  Generated:    138514
% 108.26/108.71  Kept:         23120
% 108.26/108.71  Inuse:        554
% 108.26/108.71  Deleted:      169
% 108.26/108.71  Deletedinuse: 0
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  
% 108.26/108.71  Intermediate Status:
% 108.26/108.71  Generated:    153353
% 108.26/108.71  Kept:         25125
% 108.26/108.71  Inuse:        611
% 108.26/108.71  Deleted:      169
% 108.26/108.71  Deletedinuse: 0
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  
% 108.26/108.71  Intermediate Status:
% 108.26/108.71  Generated:    170178
% 108.26/108.71  Kept:         27256
% 108.26/108.71  Inuse:        677
% 108.26/108.71  Deleted:      169
% 108.26/108.71  Deletedinuse: 0
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  
% 108.26/108.71  Intermediate Status:
% 108.26/108.71  Generated:    186036
% 108.26/108.71  Kept:         29278
% 108.26/108.71  Inuse:        740
% 108.26/108.71  Deleted:      169
% 108.26/108.71  Deletedinuse: 0
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 108.26/108.71  Done
% 108.26/108.71  
% 108.26/108.71  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    201523
% 188.63/189.05  Kept:         31288
% 188.63/189.05  Inuse:        795
% 188.63/189.05  Deleted:      169
% 188.63/189.05  Deletedinuse: 0
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    309231
% 188.63/189.05  Kept:         33297
% 188.63/189.05  Inuse:        865
% 188.63/189.05  Deleted:      169
% 188.63/189.05  Deletedinuse: 0
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    480326
% 188.63/189.05  Kept:         35316
% 188.63/189.05  Inuse:        969
% 188.63/189.05  Deleted:      173
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    543966
% 188.63/189.05  Kept:         37361
% 188.63/189.05  Inuse:        1042
% 188.63/189.05  Deleted:      173
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    586220
% 188.63/189.05  Kept:         39387
% 188.63/189.05  Inuse:        1084
% 188.63/189.05  Deleted:      173
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying clauses:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    626242
% 188.63/189.05  Kept:         41402
% 188.63/189.05  Inuse:        1122
% 188.63/189.05  Deleted:      413
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    671259
% 188.63/189.05  Kept:         43444
% 188.63/189.05  Inuse:        1168
% 188.63/189.05  Deleted:      413
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    724556
% 188.63/189.05  Kept:         45459
% 188.63/189.05  Inuse:        1224
% 188.63/189.05  Deleted:      413
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    750879
% 188.63/189.05  Kept:         47484
% 188.63/189.05  Inuse:        1254
% 188.63/189.05  Deleted:      413
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    777834
% 188.63/189.05  Kept:         49534
% 188.63/189.05  Inuse:        1297
% 188.63/189.05  Deleted:      413
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    801086
% 188.63/189.05  Kept:         51571
% 188.63/189.05  Inuse:        1334
% 188.63/189.05  Deleted:      413
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    830763
% 188.63/189.05  Kept:         53588
% 188.63/189.05  Inuse:        1382
% 188.63/189.05  Deleted:      413
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    851463
% 188.63/189.05  Kept:         55632
% 188.63/189.05  Inuse:        1414
% 188.63/189.05  Deleted:      413
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    879349
% 188.63/189.05  Kept:         57671
% 188.63/189.05  Inuse:        1460
% 188.63/189.05  Deleted:      413
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    907952
% 188.63/189.05  Kept:         59700
% 188.63/189.05  Inuse:        1511
% 188.63/189.05  Deleted:      413
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying clauses:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    937794
% 188.63/189.05  Kept:         61709
% 188.63/189.05  Inuse:        1553
% 188.63/189.05  Deleted:      442
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    967668
% 188.63/189.05  Kept:         63746
% 188.63/189.05  Inuse:        1595
% 188.63/189.05  Deleted:      442
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    995245
% 188.63/189.05  Kept:         65780
% 188.63/189.05  Inuse:        1635
% 188.63/189.05  Deleted:      442
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    1030428
% 188.63/189.05  Kept:         67790
% 188.63/189.05  Inuse:        1686
% 188.63/189.05  Deleted:      442
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    1076386
% 188.63/189.05  Kept:         69793
% 188.63/189.05  Inuse:        1728
% 188.63/189.05  Deleted:      442
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    1095934
% 188.63/189.05  Kept:         71833
% 188.63/189.05  Inuse:        1755
% 188.63/189.05  Deleted:      442
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    1129411
% 188.63/189.05  Kept:         73838
% 188.63/189.05  Inuse:        1786
% 188.63/189.05  Deleted:      442
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    1159082
% 188.63/189.05  Kept:         75866
% 188.63/189.05  Inuse:        1831
% 188.63/189.05  Deleted:      442
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    1189334
% 188.63/189.05  Kept:         77874
% 188.63/189.05  Inuse:        1871
% 188.63/189.05  Deleted:      442
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    1238819
% 188.63/189.05  Kept:         79878
% 188.63/189.05  Inuse:        1909
% 188.63/189.05  Deleted:      442
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying clauses:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    1258697
% 188.63/189.05  Kept:         82019
% 188.63/189.05  Inuse:        1930
% 188.63/189.05  Deleted:      577
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    1279694
% 188.63/189.05  Kept:         84024
% 188.63/189.05  Inuse:        1953
% 188.63/189.05  Deleted:      577
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    1324431
% 188.63/189.05  Kept:         86045
% 188.63/189.05  Inuse:        1999
% 188.63/189.05  Deleted:      577
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    1351674
% 188.63/189.05  Kept:         88078
% 188.63/189.05  Inuse:        2039
% 188.63/189.05  Deleted:      577
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    1378008
% 188.63/189.05  Kept:         90083
% 188.63/189.05  Inuse:        2074
% 188.63/189.05  Deleted:      577
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Intermediate Status:
% 188.63/189.05  Generated:    1470614
% 188.63/189.05  Kept:         92119
% 188.63/189.05  Inuse:        2111
% 188.63/189.05  Deleted:      577
% 188.63/189.05  Deletedinuse: 2
% 188.63/189.05  
% 188.63/189.05  Resimplifying inuse:
% 188.63/189.05  Done
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  Bliksems!, er is een bewijs:
% 188.63/189.05  % SZS status Unsatisfiable
% 188.63/189.05  % SZS output start Refutation
% 188.63/189.05  
% 188.63/189.05  clause( 31, [ between( X, Y, reflection( X, Y ) ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 33, [ ~( =( X, Y ) ), =( reflection( X, Y ), Y ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 34, [ =( reflection( X, X ), X ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 35, [ ~( =( reflection( Y, X ), X ) ), =( Y, X ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 43, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 46, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 47, [ between( X, X, Y ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 48, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ) ]
% 188.63/189.05     )
% 188.63/189.05  .
% 188.63/189.05  clause( 50, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( Y
% 188.63/189.05    , Z, T ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 51, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X
% 188.63/189.05    , Z, T ), =( Y, Z ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 52, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X
% 188.63/189.05    , Y, T ), =( Y, Z ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 53, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X
% 188.63/189.05    , T, Z ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 72, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), 
% 188.63/189.05    between( X, Z, T ), between( X, T, Z ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 74, [ ~( =( c, a ) ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 75, [ between( d, a, c ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 76, [ between( e, a, c ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 77, [ ~( between( d, e, a ) ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 78, [ ~( between( e, d, a ) ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 917, [ between( c, a, e ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 918, [ ~( between( a, e, d ) ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 919, [ ~( between( a, d, e ) ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 2301, [ ~( =( X, Y ) ), =( Y, X ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 2762, [ ~( =( X, a ) ), ~( =( reflection( X, c ), c ) ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 2763, [ ~( =( reflection( a, c ), c ) ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 4345, [ between( X, a, c ), ~( =( X, d ) ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 4348, [ between( X, a, c ), ~( =( X, e ) ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 5522, [ ~( between( X, a, d ) ), ~( between( X, d, e ) ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 5523, [ ~( between( X, a, e ) ), ~( between( X, e, d ) ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 5571, [ ~( between( d, c, X ) ), between( a, c, X ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 5573, [ ~( between( e, c, X ) ), between( a, c, X ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 6388, [ ~( between( X, c, e ) ), between( X, a, e ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 19460, [ ~( =( X, d ) ), ~( between( a, c, Y ) ), between( X, a, Y
% 188.63/189.05     ), =( c, a ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 19462, [ ~( =( X, d ) ), ~( between( a, c, Y ) ), between( X, c, Y
% 188.63/189.05     ), =( c, a ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 19506, [ ~( between( a, c, X ) ), between( d, c, X ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 19508, [ ~( between( a, c, X ) ), between( d, a, X ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 19642, [ ~( =( X, e ) ), ~( between( a, c, Y ) ), between( X, c, Y
% 188.63/189.05     ), =( c, a ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 19686, [ ~( between( a, c, X ) ), between( e, c, X ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 37680, [ ~( between( a, c, X ) ), between( X, c, e ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 38452, [ ~( between( a, c, X ) ), between( X, a, d ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 39219, [ between( d, c, reflection( a, c ) ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 39261, [ between( reflection( a, c ), c, d ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 39328, [ ~( between( c, reflection( a, c ), d ) ), =( reflection( a
% 188.63/189.05    , c ), c ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 40089, [ ~( between( c, reflection( a, c ), d ) ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 68343, [ ~( between( X, d, e ) ), ~( between( a, c, X ) ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 76091, [ ~( between( X, e, d ) ), ~( between( X, c, e ) ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 88955, [ ~( between( d, c, X ) ), between( X, c, e ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 90542, [ between( X, c, e ), ~( between( X, c, d ) ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 92069, [ ~( between( e, c, X ) ), ~( between( X, d, e ) ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 92936, [ ~( between( X, d, e ) ), ~( between( X, c, e ) ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 92981, [ ~( between( X, c, e ) ), ~( between( X, Y, d ) ), ~( 
% 188.63/189.05    between( X, Y, e ) ), =( X, Y ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 93023, [ ~( between( X, c, d ) ), =( X, c ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 93043, [ =( reflection( a, c ), c ) ] )
% 188.63/189.05  .
% 188.63/189.05  clause( 94010, [] )
% 188.63/189.05  .
% 188.63/189.05  
% 188.63/189.05  
% 188.63/189.05  % SZS output end Refutation
% 188.63/189.05  found a proof!
% 188.63/189.05  
% 188.63/189.05  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 188.63/189.05  
% 188.63/189.05  initialclauses(
% 188.63/189.05  [ clause( 94012, [ equidistant( X, Y, Y, X ) ] )
% 188.63/189.05  , clause( 94013, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 188.63/189.05    , W ) ), equidistant( Z, T, U, W ) ] )
% 188.63/189.05  , clause( 94014, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 188.63/189.05  , clause( 94015, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 188.63/189.05  , clause( 94016, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 188.63/189.05  , clause( 94017, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 188.63/189.05    , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 188.63/189.05     ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), 
% 188.63/189.05    equidistant( U, V0, W, V1 ) ] )
% 188.63/189.05  , clause( 94018, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 188.63/189.05  , clause( 94019, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), 
% 188.63/189.05    between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 188.63/189.05  , clause( 94020, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), 
% 188.63/189.05    between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 188.63/189.05  , clause( 94021, [ ~( between( 'lower_dimension_point_1', 
% 188.63/189.05    'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 188.63/189.05  , clause( 94022, [ ~( between( 'lower_dimension_point_2', 
% 188.63/189.05    'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 188.63/189.05  , clause( 94023, [ ~( between( 'lower_dimension_point_3', 
% 188.63/189.05    'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 188.63/189.05  , clause( 94024, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 188.63/189.05    , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, 
% 188.63/189.05    U, X ), between( U, X, T ), =( Y, Z ) ] )
% 188.63/189.05  , clause( 94025, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 188.63/189.05    Y ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 188.63/189.05  , clause( 94026, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 188.63/189.05    Y ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 188.63/189.05  , clause( 94027, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 188.63/189.05    Y ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ]
% 188.63/189.05     )
% 188.63/189.05  , clause( 94028, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 188.63/189.05    , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, 
% 188.63/189.05    continuous( X, Y, Z, W, T, U ), U ) ] )
% 188.63/189.05  , clause( 94029, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 188.63/189.05    , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 188.63/189.05    , W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 188.63/189.05  , clause( 94030, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 188.63/189.05  , clause( 94031, [ =( insertion( X, Y, Z, T ), extension( extension( Y, X, 
% 188.63/189.05    'lower_dimension_point_1', 'lower_dimension_point_2' ), X, Z, T ) ) ] )
% 188.63/189.05  , clause( 94032, [ equidistant( X, Y, X, Y ) ] )
% 188.63/189.05  , clause( 94033, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y
% 188.63/189.05     ) ] )
% 188.63/189.05  , clause( 94034, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T
% 188.63/189.05     ) ] )
% 188.63/189.05  , clause( 94035, [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z
% 188.63/189.05     ) ] )
% 188.63/189.05  , clause( 94036, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z
% 188.63/189.05     ) ] )
% 188.63/189.05  , clause( 94037, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X
% 188.63/189.05     ) ] )
% 188.63/189.05  , clause( 94038, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y
% 188.63/189.05     ) ] )
% 188.63/189.05  , clause( 94039, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X
% 188.63/189.05     ) ] )
% 188.63/189.05  , clause( 94040, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U
% 188.63/189.05    , W ) ), equidistant( X, Y, U, W ) ] )
% 188.63/189.05  , clause( 94041, [ =( X, extension( Y, X, Z, Z ) ) ] )
% 188.63/189.05  , clause( 94042, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X )
% 188.63/189.05     ] )
% 188.63/189.05  , clause( 94043, [ between( X, Y, reflection( X, Y ) ) ] )
% 188.63/189.05  , clause( 94044, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 188.63/189.05  , clause( 94045, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 188.63/189.05  , clause( 94046, [ =( X, reflection( X, X ) ) ] )
% 188.63/189.05  , clause( 94047, [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ] )
% 188.63/189.05  , clause( 94048, [ equidistant( X, X, Y, Y ) ] )
% 188.63/189.05  , clause( 94049, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 188.63/189.05    , W ) ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X
% 188.63/189.05    , U, Z, W ) ] )
% 188.63/189.05  , clause( 94050, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~( 
% 188.63/189.05    equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 188.63/189.05  , clause( 94051, [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, 
% 188.63/189.05    Y, Y, Z ) ) ] )
% 188.63/189.05  , clause( 94052, [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y
% 188.63/189.05     ), extension( U, W, Z, T ) ), =( U, W ) ] )
% 188.63/189.05  , clause( 94053, [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ), 
% 188.63/189.05    =( X, Y ) ] )
% 188.63/189.05  , clause( 94054, [ equidistant( X, Y, X, reflection( reflection( Y, X ), X
% 188.63/189.05     ) ) ] )
% 188.63/189.05  , clause( 94055, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 188.63/189.05  , clause( 94056, [ between( X, Y, Y ) ] )
% 188.63/189.05  , clause( 94057, [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, 
% 188.63/189.05    Z ) ] )
% 188.63/189.05  , clause( 94058, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 188.63/189.05  , clause( 94059, [ between( X, X, Y ) ] )
% 188.63/189.05  , clause( 94060, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, 
% 188.63/189.05    Y ) ] )
% 188.63/189.05  , clause( 94061, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, 
% 188.63/189.05    Z ) ] )
% 188.63/189.05  , clause( 94062, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, 
% 188.63/189.05    Y ), =( Y, Z ) ] )
% 188.63/189.05  , clause( 94063, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X, 
% 188.63/189.05    Y ), =( Y, Z ) ] )
% 188.63/189.05  , clause( 94064, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), 
% 188.63/189.05    between( X, Y, Z ) ] )
% 188.63/189.05  , clause( 94065, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), 
% 188.63/189.05    between( Y, Z, T ) ] )
% 188.63/189.05  , clause( 94066, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), 
% 188.63/189.05    between( X, Z, T ), =( Y, Z ) ] )
% 188.63/189.05  , clause( 94067, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), 
% 188.63/189.05    between( X, Y, T ), =( Y, Z ) ] )
% 188.63/189.05  , clause( 94068, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), 
% 188.63/189.05    between( X, T, Z ) ] )
% 188.63/189.05  , clause( 94069, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), 
% 188.63/189.05    between( X, Y, T ) ] )
% 188.63/189.05  , clause( 94070, [ ~( =( 'lower_dimension_point_1', 
% 188.63/189.05    'lower_dimension_point_2' ) ) ] )
% 188.63/189.05  , clause( 94071, [ ~( =( 'lower_dimension_point_2', 
% 188.63/189.05    'lower_dimension_point_3' ) ) ] )
% 188.63/189.05  , clause( 94072, [ ~( =( 'lower_dimension_point_1', 
% 188.63/189.05    'lower_dimension_point_3' ) ) ] )
% 188.63/189.05  , clause( 94073, [ ~( =( X, extension( Y, X, 'lower_dimension_point_1', 
% 188.63/189.05    'lower_dimension_point_2' ) ) ) ] )
% 188.63/189.05  , clause( 94074, [ equidistant( X, extension( Y, X, 
% 188.63/189.05    'lower_dimension_point_1', 'lower_dimension_point_2' ), Z, extension( T, 
% 188.63/189.05    Z, 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 188.63/189.05  , clause( 94075, [ between( X, Y, extension( X, Y, 
% 188.63/189.05    'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 188.63/189.05  , clause( 94076, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), ~( 
% 188.63/189.05    between( X, W, T ) ), between( W, 'inner_pasch'( U, 'inner_pasch'( X, W, 
% 188.63/189.05    T, U, Z ), X, Y, Z ), Z ), between( Y, 'inner_pasch'( U, 'inner_pasch'( X
% 188.63/189.05    , W, T, U, Z ), X, Y, Z ), U ) ] )
% 188.63/189.05  , clause( 94077, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, X, T ) )
% 188.63/189.05    , ~( equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 188.63/189.05  , clause( 94078, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, U, Z
% 188.63/189.05    , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 )
% 188.63/189.05     ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0
% 188.63/189.05    , T, V1 ) ] )
% 188.63/189.05  , clause( 94079, [ ~( between( X, Y, Z ) ), ~( between( T, U, W ) ), ~( 
% 188.63/189.05    equidistant( X, Y, T, U ) ), ~( equidistant( X, Z, T, W ) ), equidistant( 
% 188.63/189.05    Y, Z, U, W ) ] )
% 188.63/189.05  , clause( 94080, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 188.63/189.05    , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 )
% 188.63/189.05     ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0
% 188.63/189.06    , T, V1 ) ] )
% 188.63/189.06  , clause( 94081, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, T ) )
% 188.63/189.06    , ~( equidistant( Z, Y, Z, T ) ), =( Y, T ) ] )
% 188.63/189.06  , clause( 94082, [ equidistant( X, Y, Z, insertion( Z, T, X, Y ) ) ] )
% 188.63/189.06  , clause( 94083, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) )
% 188.63/189.06    , between( T, insertion( T, U, X, Y ), U ) ] )
% 188.63/189.06  , clause( 94084, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) )
% 188.63/189.06    , equidistant( Y, Z, insertion( T, U, X, Y ), U ) ] )
% 188.63/189.06  , clause( 94085, [ ~( between( X, Y, Z ) ), =( Y, insertion( X, Z, X, Y ) )
% 188.63/189.06     ] )
% 188.63/189.06  , clause( 94086, [ ~( equidistant( X, Y, Z, T ) ), =( insertion( U, W, X, Y
% 188.63/189.06     ), insertion( U, W, Z, T ) ) ] )
% 188.63/189.06  , clause( 94087, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 188.63/189.06    , W ) ), ~( equidistant( X, U, Z, W ) ), ~( between( X, Y, U ) ), between( 
% 188.63/189.06    Z, T, W ) ] )
% 188.63/189.06  , clause( 94088, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, 
% 188.63/189.06    Y ), between( X, Z, T ), between( X, T, Z ) ] )
% 188.63/189.06  , clause( 94089, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, 
% 188.63/189.06    Y ), between( Y, Z, T ), between( Y, T, Z ) ] )
% 188.63/189.06  , clause( 94090, [ ~( =( a, c ) ) ] )
% 188.63/189.06  , clause( 94091, [ between( d, a, c ) ] )
% 188.63/189.06  , clause( 94092, [ between( e, a, c ) ] )
% 188.63/189.06  , clause( 94093, [ ~( between( d, e, a ) ) ] )
% 188.63/189.06  , clause( 94094, [ ~( between( e, d, a ) ) ] )
% 188.63/189.06  ] ).
% 188.63/189.06  
% 188.63/189.06  
% 188.63/189.06  
% 188.63/189.06  subsumption(
% 188.63/189.06  clause( 31, [ between( X, Y, reflection( X, Y ) ) ] )
% 188.63/189.06  , clause( 94043, [ between( X, Y, reflection( X, Y ) ) ] )
% 188.63/189.06  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 188.63/189.06     )] ) ).
% 188.63/189.06  
% 188.63/189.06  
% 188.63/189.06  eqswap(
% 188.63/189.06  clause( 94222, [ =( reflection( Y, X ), X ), ~( =( Y, X ) ) ] )
% 188.63/189.06  , clause( 94045, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 188.63/189.06  , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 188.63/189.06  
% 188.63/189.06  
% 188.63/189.06  subsumption(
% 188.63/189.06  clause( 33, [ ~( =( X, Y ) ), =( reflection( X, Y ), Y ) ] )
% 188.63/189.06  , clause( 94222, [ =( reflection( Y, X ), X ), ~( =( Y, X ) ) ] )
% 188.63/189.06  , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 188.63/189.06     ), ==>( 1, 0 )] ) ).
% 188.63/189.06  
% 188.63/189.06  
% 188.63/189.06  eqswap(
% 188.63/189.06  clause( 94290, [ =( reflection( X, X ), X ) ] )
% 188.63/189.06  , clause( 94046, [ =( X, reflection( X, X ) ) ] )
% 188.63/189.06  , 0, substitution( 0, [ :=( X, X )] )).
% 188.63/189.06  
% 188.63/189.06  
% 188.63/189.06  subsumption(
% 188.63/189.06  clause( 34, [ =( reflection( X, X ), X ) ] )
% 188.63/189.06  , clause( 94290, [ =( reflection( X, X ), X ) ] )
% 188.63/189.06  , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 188.63/189.06  
% 188.63/189.06  
% 188.63/189.06  eqswap(
% 188.63/189.06  clause( 94358, [ ~( =( reflection( Y, X ), X ) ), =( Y, X ) ] )
% 188.63/189.06  , clause( 94047, [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ] )
% 188.63/189.06  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 188.63/189.06  
% 188.63/189.06  
% 188.63/189.06  subsumption(
% 188.63/189.06  clause( 35, [ ~( =( reflection( Y, X ), X ) ), =( Y, X ) ] )
% 188.63/189.06  , clause( 94358, [ ~( =( reflection( Y, X ), X ) ), =( Y, X ) ] )
% 188.63/189.06  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 188.63/189.06     ), ==>( 1, 1 )] ) ).
% 188.63/189.06  
% 188.63/189.06  
% 188.63/189.06  eqswap(
% 188.63/189.06  clause( 94453, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 188.63/189.06  , clause( 94055, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 188.63/189.06  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 188.63/189.06  
% 188.63/189.06  
% 188.63/189.06  subsumption(
% 188.63/189.06  clause( 43, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 188.63/189.06  , clause( 94453, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 188.63/189.06  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 188.63/189.06     )] ) ).
% 188.63/189.06  
% 188.63/189.06  
% 188.63/189.06  subsumption(
% 188.63/189.06  clause( 46, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 188.63/189.06  , clause( 94058, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 188.63/189.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 188.63/189.06    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 188.63/189.06  
% 188.63/189.06  
% 188.63/189.06  subsumption(
% 188.63/189.06  clause( 47, [ between( X, X, Y ) ] )
% 188.63/189.06  , clause( 94059, [ between( X, X, Y ) ] )
% 188.63/189.06  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 188.63/189.06     )] ) ).
% 188.63/189.06  
% 188.63/189.06  
% 188.63/189.06  subsumption(
% 188.63/189.06  clause( 48, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ) ]
% 188.63/189.06     )
% 188.63/189.06  , clause( 94060, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, 
% 188.63/189.06    Y ) ] )
% 188.63/189.06  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 188.63/189.06    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 188.63/189.06  
% 188.63/189.06  
% 188.63/189.06  subsumption(
% 188.63/189.06  clause( 50, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( Y
% 188.63/189.06    , Z, T ) ] )
% 188.63/189.06  , clause( 94065, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), 
% 188.63/189.07    between( Y, Z, T ) ] )
% 188.63/189.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 188.63/189.07    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 188.63/189.07  
% 188.63/189.07  
% 188.63/189.07  subsumption(
% 188.63/189.07  clause( 51, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X
% 188.63/189.07    , Z, T ), =( Y, Z ) ] )
% 188.63/189.07  , clause( 94066, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), 
% 188.63/189.07    between( X, Z, T ), =( Y, Z ) ] )
% 188.63/189.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 188.63/189.07    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 188.63/189.07     ).
% 188.63/189.07  
% 188.63/189.07  
% 188.63/189.07  subsumption(
% 188.63/189.07  clause( 52, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X
% 188.63/189.07    , Y, T ), =( Y, Z ) ] )
% 188.63/189.07  , clause( 94067, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), 
% 188.63/189.07    between( X, Y, T ), =( Y, Z ) ] )
% 188.63/189.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 188.63/189.07    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 188.63/189.07     ).
% 188.63/189.07  
% 188.63/189.07  
% 188.63/189.07  subsumption(
% 188.63/189.07  clause( 53, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X
% 188.63/189.07    , T, Z ) ] )
% 188.63/189.07  , clause( 94068, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), 
% 188.63/189.07    between( X, T, Z ) ] )
% 188.63/189.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 188.63/189.07    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 188.63/189.07  
% 188.63/189.07  
% 188.63/189.07  subsumption(
% 188.63/189.07  clause( 72, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), 
% 188.63/189.07    between( X, Z, T ), between( X, T, Z ) ] )
% 188.63/189.07  , clause( 94088, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, 
% 188.63/189.07    Y ), between( X, Z, T ), between( X, T, Z ) ] )
% 188.63/189.07  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 188.63/189.07    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ), 
% 188.63/189.07    ==>( 4, 4 )] ) ).
% 188.63/189.07  
% 188.63/189.07  
% 188.63/189.07  eqswap(
% 188.63/189.07  clause( 95599, [ ~( =( c, a ) ) ] )
% 188.63/189.07  , clause( 94090, [ ~( =( a, c ) ) ] )
% 188.63/189.07  , 0, substitution( 0, [] )).
% 188.63/189.07  
% 188.63/189.07  
% 188.63/189.07  subsumption(
% 188.63/189.07  clause( 74, [ ~( =( c, a ) ) ] )
% 188.63/189.07  , clause( 95599, [ ~( =( c, a ) ) ] )
% 188.63/189.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 188.63/189.07  
% 188.63/189.07  
% 188.63/189.07  subsumption(
% 188.63/189.07  clause( 75, [ between( d, a, c ) ] )
% 188.63/189.07  , clause( 94091, [ between( d, a, c ) ] )
% 188.63/189.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 188.63/189.07  
% 188.63/189.07  
% 188.63/189.07  subsumption(
% 188.63/189.07  clause( 76, [ between( e, a, c ) ] )
% 188.63/189.07  , clause( 94092, [ between( e, a, c ) ] )
% 188.63/189.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 188.63/189.07  
% 188.63/189.07  
% 188.63/189.07  subsumption(
% 188.63/189.07  clause( 77, [ ~( between( d, e, a ) ) ] )
% 188.63/189.07  , clause( 94093, [ ~( between( d, e, a ) ) ] )
% 188.63/189.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 188.63/189.07  
% 188.63/189.07  
% 188.63/189.07  subsumption(
% 188.63/189.07  clause( 78, [ ~( between( e, d, a ) ) ] )
% 188.63/189.07  , clause( 94094, [ ~( between( e, d, a ) ) ] )
% 188.63/189.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 188.63/189.07  
% 188.63/189.07  
% 188.63/189.07  resolution(
% 188.63/189.07  clause( 96404, [ between( c, a, e ) ] )
% 188.63/189.07  , clause( 46, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 188.63/189.07  , 0, clause( 76, [ between( e, a, c ) ] )
% 188.63/189.07  , 0, substitution( 0, [ :=( X, e ), :=( Y, a ), :=( Z, c )] ), 
% 188.63/189.07    substitution( 1, [] )).
% 188.63/189.07  
% 188.63/189.07  
% 188.63/189.07  subsumption(
% 188.63/189.07  clause( 917, [ between( c, a, e ) ] )
% 188.63/189.07  , clause( 96404, [ between( c, a, e ) ] )
% 188.63/189.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 188.63/189.07  
% 188.63/189.07  
% 188.63/189.07  resolution(
% 188.63/189.07  clause( 96405, [ ~( between( a, e, d ) ) ] )
% 188.63/189.07  , clause( 77, [ ~( between( d, e, a ) ) ] )
% 188.63/189.07  , 0, clause( 46, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 188.63/189.07  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, e ), :=( 
% 188.63/189.07    Z, d )] )).
% 188.63/189.07  
% 188.63/189.07  
% 188.63/189.07  subsumption(
% 188.63/189.07  clause( 918, [ ~( between( a, e, d ) ) ] )
% 188.63/189.07  , clause( 96405, [ ~( between( a, e, d ) ) ] )
% 188.63/189.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 188.63/189.07  
% 188.63/189.07  
% 188.63/189.07  resolution(
% 188.63/189.07  clause( 96406, [ ~( between( a, d, e ) ) ] )
% 188.63/189.07  , clause( 78, [ ~( between( e, d, a ) ) ] )
% 188.63/189.07  , 0, clause( 46, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 188.63/189.07  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, d ), :=( 
% 188.63/189.07    Z, e )] )).
% 188.63/189.07  
% 188.63/189.07  
% 188.63/189.07  subsumption(
% 188.63/189.07  clause( 919, [ ~( between( a, d, e ) ) ] )
% 188.63/189.07  , clause( 96406, [ ~( between( a, d, e ) ) ] )
% 188.63/189.07  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 188.63/189.07  
% 188.63/189.07  
% 188.63/189.07  eqswap(
% 188.63/189.07  clause( 96407, [ ~( =( Y, X ) ), =( reflection( X, Y ), Y ) ] )
% 188.63/189.07  , clause( 33, [ ~( =( X, Y ) ), =( reflection( X, Y ), Y ) ] )
% 188.63/189.07  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 188.63/189.07  
% 188.63/189.07  
% 188.63/189.07  eqswap(
% 188.63/189.07  clause( 96410, [ =( X, refleCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------