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Bliksem---1.12.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GEO011-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n009.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 02:50:49 EDT 2022

% Result   : Unsatisfiable 0.75s 1.17s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GEO011-2 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n009.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 01:52:08 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.75/1.17  *** allocated 10000 integers for termspace/termends
% 0.75/1.17  *** allocated 10000 integers for clauses
% 0.75/1.17  *** allocated 10000 integers for justifications
% 0.75/1.17  Bliksem 1.12
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  Automatic Strategy Selection
% 0.75/1.17  
% 0.75/1.17  Clauses:
% 0.75/1.17  [
% 0.75/1.17     [ equidistant( X, Y, Y, X ) ],
% 0.75/1.17     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ), 
% 0.75/1.17    equidistant( Z, T, U, W ) ],
% 0.75/1.17     [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.75/1.17     [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.75/1.17     [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.75/1.17     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~( 
% 0.75/1.17    equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~( 
% 0.75/1.17    between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.75/1.17    , V0, W, V1 ) ],
% 0.75/1.17     [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.75/1.17     [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y, 
% 0.75/1.17    'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.75/1.17     [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U, 
% 0.75/1.17    'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.75/1.17     [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2', 
% 0.75/1.17    'lower_dimension_point_3' ) ) ],
% 0.75/1.17     [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3', 
% 0.75/1.17    'lower_dimension_point_1' ) ) ],
% 0.75/1.17     [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1', 
% 0.75/1.17    'lower_dimension_point_2' ) ) ],
% 0.75/1.17     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~( 
% 0.75/1.17    equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ), 
% 0.75/1.17    between( U, X, T ), =( Y, Z ) ],
% 0.75/1.17     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 0.75/1.17    X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.75/1.17     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 0.75/1.17    X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.75/1.17     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 0.75/1.17    euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.75/1.17     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~( 
% 0.75/1.17    between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.75/1.17    , Y, Z, W, T, U ), U ) ],
% 0.75/1.17     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~( 
% 0.75/1.17    between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X, 
% 0.75/1.17    continuous( X, Y, Z, W, T, U ) ) ],
% 0.75/1.17     [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ],
% 0.75/1.17     [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ],
% 0.75/1.17     [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ],
% 0.75/1.17     [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z, X ), 
% 0.75/1.17    between( Z, X, Y ) ],
% 0.75/1.17     [ colinear( 'lower_dimension_point_1', 'lower_dimension_point_2', 
% 0.75/1.17    'lower_dimension_point_3' ) ]
% 0.75/1.17  ] .
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  percentage equality = 0.104478, percentage horn = 0.739130
% 0.75/1.17  This is a problem with some equality
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  Options Used:
% 0.75/1.17  
% 0.75/1.17  useres =            1
% 0.75/1.17  useparamod =        1
% 0.75/1.17  useeqrefl =         1
% 0.75/1.17  useeqfact =         1
% 0.75/1.17  usefactor =         1
% 0.75/1.17  usesimpsplitting =  0
% 0.75/1.17  usesimpdemod =      5
% 0.75/1.17  usesimpres =        3
% 0.75/1.17  
% 0.75/1.17  resimpinuse      =  1000
% 0.75/1.17  resimpclauses =     20000
% 0.75/1.17  substype =          eqrewr
% 0.75/1.17  backwardsubs =      1
% 0.75/1.17  selectoldest =      5
% 0.75/1.17  
% 0.75/1.17  litorderings [0] =  split
% 0.75/1.17  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.75/1.17  
% 0.75/1.17  termordering =      kbo
% 0.75/1.17  
% 0.75/1.17  litapriori =        0
% 0.75/1.17  termapriori =       1
% 0.75/1.17  litaposteriori =    0
% 0.75/1.17  termaposteriori =   0
% 0.75/1.17  demodaposteriori =  0
% 0.75/1.17  ordereqreflfact =   0
% 0.75/1.17  
% 0.75/1.17  litselect =         negord
% 0.75/1.17  
% 0.75/1.17  maxweight =         15
% 0.75/1.17  maxdepth =          30000
% 0.75/1.17  maxlength =         115
% 0.75/1.17  maxnrvars =         195
% 0.75/1.17  excuselevel =       1
% 0.75/1.17  increasemaxweight = 1
% 0.75/1.17  
% 0.75/1.17  maxselected =       10000000
% 0.75/1.17  maxnrclauses =      10000000
% 0.75/1.17  
% 0.75/1.17  showgenerated =    0
% 0.75/1.17  showkept =         0
% 0.75/1.17  showselected =     0
% 0.75/1.17  showdeleted =      0
% 0.75/1.17  showresimp =       1
% 0.75/1.17  showstatus =       2000
% 0.75/1.17  
% 0.75/1.17  prologoutput =     1
% 0.75/1.17  nrgoals =          5000000
% 0.75/1.17  totalproof =       1
% 0.75/1.17  
% 0.75/1.17  Symbols occurring in the translation:
% 0.75/1.17  
% 0.75/1.17  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.75/1.17  .  [1, 2]      (w:1, o:28, a:1, s:1, b:0), 
% 0.75/1.17  !  [4, 1]      (w:0, o:23, a:1, s:1, b:0), 
% 0.75/1.17  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.75/1.17  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.75/1.17  equidistant  [41, 4]      (w:1, o:55, a:1, s:1, b:0), 
% 0.75/1.17  extension  [46, 4]      (w:1, o:56, a:1, s:1, b:0), 
% 0.75/1.17  between  [47, 3]      (w:1, o:53, a:1, s:1, b:0), 
% 0.75/1.17  'inner_pasch'  [53, 5]      (w:1, o:57, a:1, s:1, b:0), 
% 0.75/1.17  'lower_dimension_point_1'  [54, 0]      (w:1, o:20, a:1, s:1, b:0), 
% 0.75/1.17  'lower_dimension_point_2'  [55, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 0.75/1.17  'lower_dimension_point_3'  [56, 0]      (w:1, o:22, a:1, s:1, b:0), 
% 0.75/1.17  euclid1  [57, 5]      (w:1, o:58, a:1, s:1, b:0), 
% 0.75/1.17  euclid2  [58, 5]      (w:1, o:59, a:1, s:1, b:0), 
% 0.75/1.17  continuous  [59, 6]      (w:1, o:60, a:1, s:1, b:0), 
% 0.75/1.17  colinear  [60, 3]      (w:1, o:54, a:1, s:1, b:0).
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  Starting Search:
% 0.75/1.17  
% 0.75/1.17  Resimplifying inuse:
% 0.75/1.17  Done
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  Bliksems!, er is een bewijs:
% 0.75/1.17  % SZS status Unsatisfiable
% 0.75/1.17  % SZS output start Refutation
% 0.75/1.17  
% 0.75/1.17  clause( 9, [ ~( between( 'lower_dimension_point_1', 
% 0.75/1.17    'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.75/1.17  .
% 0.75/1.17  clause( 10, [ ~( between( 'lower_dimension_point_2', 
% 0.75/1.17    'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.75/1.17  .
% 0.75/1.17  clause( 11, [ ~( between( 'lower_dimension_point_3', 
% 0.75/1.17    'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.75/1.17  .
% 0.75/1.17  clause( 21, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z, 
% 0.75/1.17    X ), between( Z, X, Y ) ] )
% 0.75/1.17  .
% 0.75/1.17  clause( 22, [ colinear( 'lower_dimension_point_1', 
% 0.75/1.17    'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 0.75/1.17  .
% 0.75/1.17  clause( 1023, [ between( 'lower_dimension_point_2', 
% 0.75/1.17    'lower_dimension_point_3', 'lower_dimension_point_1' ), between( 
% 0.75/1.17    'lower_dimension_point_3', 'lower_dimension_point_1', 
% 0.75/1.17    'lower_dimension_point_2' ) ] )
% 0.75/1.17  .
% 0.75/1.17  clause( 1092, [] )
% 0.75/1.17  .
% 0.75/1.17  
% 0.75/1.17  
% 0.75/1.17  % SZS output end Refutation
% 0.75/1.17  found a proof!
% 0.75/1.17  
% 0.75/1.17  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.17  
% 0.75/1.17  initialclauses(
% 0.75/1.17  [ clause( 1094, [ equidistant( X, Y, Y, X ) ] )
% 0.75/1.17  , clause( 1095, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, 
% 0.75/1.17    W ) ), equidistant( Z, T, U, W ) ] )
% 0.75/1.17  , clause( 1096, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.75/1.17  , clause( 1097, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.75/1.17  , clause( 1098, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.75/1.17  , clause( 1099, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, 
% 0.75/1.17    W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) )
% 0.75/1.17    , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), 
% 0.75/1.17    equidistant( U, V0, W, V1 ) ] )
% 0.75/1.17  , clause( 1100, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.75/1.17  , clause( 1101, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( 
% 0.75/1.17    Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 0.75/1.17  , clause( 1102, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( 
% 0.75/1.17    U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 0.75/1.17  , clause( 1103, [ ~( between( 'lower_dimension_point_1', 
% 0.75/1.17    'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.75/1.17  , clause( 1104, [ ~( between( 'lower_dimension_point_2', 
% 0.75/1.17    'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.75/1.17  , clause( 1105, [ ~( between( 'lower_dimension_point_3', 
% 0.75/1.17    'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.75/1.17  , clause( 1106, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, 
% 0.75/1.17    Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U
% 0.75/1.17    , X ), between( U, X, T ), =( Y, Z ) ] )
% 0.75/1.17  , clause( 1107, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.75/1.17     ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 0.75/1.17  , clause( 1108, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.75/1.17     ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 0.75/1.17  , clause( 1109, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.75/1.17     ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ] )
% 0.75/1.17  , clause( 1110, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, 
% 0.75/1.17    U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, 
% 0.75/1.17    continuous( X, Y, Z, W, T, U ), U ) ] )
% 0.75/1.17  , clause( 1111, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, 
% 0.75/1.17    U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, 
% 0.75/1.17    W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 0.75/1.17  , clause( 1112, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 0.75/1.17  , clause( 1113, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 0.75/1.17  , clause( 1114, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 0.75/1.17  , clause( 1115, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 0.75/1.17    , Z, X ), between( Z, X, Y ) ] )
% 0.75/1.17  , clause( 1116, [ colinear( 'lower_dimension_point_1', 
% 0.75/1.18    'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 0.75/1.18  ] ).
% 0.75/1.18  
% 0.75/1.18  
% 0.75/1.18  
% 0.75/1.18  subsumption(
% 0.75/1.18  clause( 9, [ ~( between( 'lower_dimension_point_1', 
% 0.75/1.18    'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.75/1.18  , clause( 1103, [ ~( between( 'lower_dimension_point_1', 
% 0.75/1.18    'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.75/1.18  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.18  
% 0.75/1.18  
% 0.75/1.18  subsumption(
% 0.75/1.18  clause( 10, [ ~( between( 'lower_dimension_point_2', 
% 0.75/1.18    'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.75/1.18  , clause( 1104, [ ~( between( 'lower_dimension_point_2', 
% 0.75/1.18    'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.75/1.18  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.18  
% 0.75/1.18  
% 0.75/1.18  subsumption(
% 0.75/1.18  clause( 11, [ ~( between( 'lower_dimension_point_3', 
% 0.75/1.18    'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.75/1.18  , clause( 1105, [ ~( between( 'lower_dimension_point_3', 
% 0.75/1.18    'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.75/1.18  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.18  
% 0.75/1.18  
% 0.75/1.18  subsumption(
% 0.75/1.18  clause( 21, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z, 
% 0.75/1.18    X ), between( Z, X, Y ) ] )
% 0.75/1.18  , clause( 1115, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 0.75/1.18    , Z, X ), between( Z, X, Y ) ] )
% 0.75/1.18  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.75/1.18    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.75/1.18     ).
% 0.75/1.18  
% 0.75/1.18  
% 0.75/1.18  subsumption(
% 0.75/1.18  clause( 22, [ colinear( 'lower_dimension_point_1', 
% 0.75/1.18    'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 0.75/1.18  , clause( 1116, [ colinear( 'lower_dimension_point_1', 
% 0.75/1.18    'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 0.75/1.18  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.18  
% 0.75/1.18  
% 0.75/1.18  resolution(
% 0.75/1.18  clause( 1339, [ ~( colinear( 'lower_dimension_point_1', 
% 0.75/1.18    'lower_dimension_point_2', 'lower_dimension_point_3' ) ), between( 
% 0.75/1.18    'lower_dimension_point_2', 'lower_dimension_point_3', 
% 0.75/1.18    'lower_dimension_point_1' ), between( 'lower_dimension_point_3', 
% 0.75/1.18    'lower_dimension_point_1', 'lower_dimension_point_2' ) ] )
% 0.75/1.18  , clause( 9, [ ~( between( 'lower_dimension_point_1', 
% 0.75/1.18    'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.75/1.18  , 0, clause( 21, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 0.75/1.18    , Z, X ), between( Z, X, Y ) ] )
% 0.75/1.18  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 
% 0.75/1.18    'lower_dimension_point_1' ), :=( Y, 'lower_dimension_point_2' ), :=( Z, 
% 0.75/1.18    'lower_dimension_point_3' )] )).
% 0.75/1.18  
% 0.75/1.18  
% 0.75/1.18  resolution(
% 0.75/1.18  clause( 1342, [ between( 'lower_dimension_point_2', 
% 0.75/1.18    'lower_dimension_point_3', 'lower_dimension_point_1' ), between( 
% 0.75/1.18    'lower_dimension_point_3', 'lower_dimension_point_1', 
% 0.75/1.18    'lower_dimension_point_2' ) ] )
% 0.75/1.18  , clause( 1339, [ ~( colinear( 'lower_dimension_point_1', 
% 0.75/1.18    'lower_dimension_point_2', 'lower_dimension_point_3' ) ), between( 
% 0.75/1.18    'lower_dimension_point_2', 'lower_dimension_point_3', 
% 0.75/1.18    'lower_dimension_point_1' ), between( 'lower_dimension_point_3', 
% 0.75/1.18    'lower_dimension_point_1', 'lower_dimension_point_2' ) ] )
% 0.75/1.18  , 0, clause( 22, [ colinear( 'lower_dimension_point_1', 
% 0.75/1.18    'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 0.75/1.18  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.75/1.18  
% 0.75/1.18  
% 0.75/1.18  subsumption(
% 0.75/1.18  clause( 1023, [ between( 'lower_dimension_point_2', 
% 0.75/1.18    'lower_dimension_point_3', 'lower_dimension_point_1' ), between( 
% 0.75/1.18    'lower_dimension_point_3', 'lower_dimension_point_1', 
% 0.75/1.18    'lower_dimension_point_2' ) ] )
% 0.75/1.18  , clause( 1342, [ between( 'lower_dimension_point_2', 
% 0.75/1.18    'lower_dimension_point_3', 'lower_dimension_point_1' ), between( 
% 0.75/1.18    'lower_dimension_point_3', 'lower_dimension_point_1', 
% 0.75/1.18    'lower_dimension_point_2' ) ] )
% 0.75/1.18  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.75/1.18     ).
% 0.75/1.18  
% 0.75/1.18  
% 0.75/1.18  resolution(
% 0.75/1.18  clause( 1343, [ between( 'lower_dimension_point_3', 
% 0.75/1.18    'lower_dimension_point_1', 'lower_dimension_point_2' ) ] )
% 0.75/1.18  , clause( 10, [ ~( between( 'lower_dimension_point_2', 
% 0.75/1.18    'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.75/1.18  , 0, clause( 1023, [ between( 'lower_dimension_point_2', 
% 0.75/1.18    'lower_dimension_point_3', 'lower_dimension_point_1' ), between( 
% 0.75/1.18    'lower_dimension_point_3', 'lower_dimension_point_1', 
% 0.75/1.18    'lower_dimension_point_2' ) ] )
% 0.75/1.18  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.75/1.18  
% 0.75/1.18  
% 0.75/1.18  resolution(
% 0.75/1.18  clause( 1344, [] )
% 0.75/1.18  , clause( 11, [ ~( between( 'lower_dimension_point_3', 
% 0.75/1.18    'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.75/1.18  , 0, clause( 1343, [ between( 'lower_dimension_point_3', 
% 0.75/1.18    'lower_dimension_point_1', 'lower_dimension_point_2' ) ] )
% 0.75/1.18  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.75/1.18  
% 0.75/1.18  
% 0.75/1.18  subsumption(
% 0.75/1.18  clause( 1092, [] )
% 0.75/1.18  , clause( 1344, [] )
% 0.75/1.18  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.75/1.18  
% 0.75/1.18  
% 0.75/1.18  end.
% 0.75/1.18  
% 0.75/1.18  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.18  
% 0.75/1.18  Memory use:
% 0.75/1.18  
% 0.75/1.18  space for terms:        30625
% 0.75/1.18  space for clauses:      55232
% 0.75/1.18  
% 0.75/1.18  
% 0.75/1.18  clauses generated:      6105
% 0.75/1.18  clauses kept:           1093
% 0.75/1.18  clauses selected:       79
% 0.75/1.18  clauses deleted:        3
% 0.75/1.18  clauses inuse deleted:  0
% 0.75/1.18  
% 0.75/1.18  subsentry:          15131
% 0.75/1.18  literals s-matched: 12332
% 0.75/1.18  literals matched:   9976
% 0.75/1.18  full subsumption:   8035
% 0.75/1.18  
% 0.75/1.18  checksum:           -676952007
% 0.75/1.18  
% 0.75/1.18  
% 0.75/1.18  Bliksem ended
%------------------------------------------------------------------------------