TSTP Solution File: GEO011-4 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GEO011-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n014.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 02:50:50 EDT 2022

% Result   : Unsatisfiable 0.97s 1.36s
% Output   : Refutation 0.97s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO011-4 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n014.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 : Fri Jun 17 15:11:04 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.97/1.36  *** allocated 10000 integers for termspace/termends
% 0.97/1.36  *** allocated 10000 integers for clauses
% 0.97/1.36  *** allocated 10000 integers for justifications
% 0.97/1.36  Bliksem 1.12
% 0.97/1.36  
% 0.97/1.36  
% 0.97/1.36  Automatic Strategy Selection
% 0.97/1.36  
% 0.97/1.36  Clauses:
% 0.97/1.36  [
% 0.97/1.36     [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ],
% 0.97/1.36     [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ],
% 0.97/1.36     [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ],
% 0.97/1.36     [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z, X ), 
% 0.97/1.36    between( Z, X, Y ) ],
% 0.97/1.36     [ 'equal_distance'( distance( X, Y ), distance( Y, X ) ) ],
% 0.97/1.36     [ ~( 'equal_distance'( distance( X, Y ), distance( Z, T ) ) ), ~( 
% 0.97/1.36    'equal_distance'( distance( X, Y ), distance( U, W ) ) ), 
% 0.97/1.36    'equal_distance'( distance( Z, T ), distance( U, W ) ) ],
% 0.97/1.36     [ ~( 'equal_distance'( distance( X, Y ), distance( Z, Z ) ) ), =( X, Y )
% 0.97/1.36     ],
% 0.97/1.36     [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.97/1.36     [ 'equal_distance'( distance( X, extension( Y, X, Z, T ) ), distance( Z
% 0.97/1.36    , T ) ) ],
% 0.97/1.36     [ ~( 'equal_distance'( distance( X, Y ), distance( Z, T ) ) ), ~( 
% 0.97/1.36    'equal_distance'( distance( Y, U ), distance( T, W ) ) ), ~( 
% 0.97/1.36    'equal_distance'( distance( X, V0 ), distance( Z, V1 ) ) ), ~( 
% 0.97/1.36    'equal_distance'( distance( Y, V0 ), distance( T, V1 ) ) ), ~( between( X
% 0.97/1.36    , Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), 'equal_distance'( 
% 0.97/1.36    distance( U, V0 ), distance( W, V1 ) ) ],
% 0.97/1.36     [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.97/1.36     [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y, 
% 0.97/1.36    'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.97/1.36     [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U, 
% 0.97/1.36    'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.97/1.36     [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2', 
% 0.97/1.36    'lower_dimension_point_3' ) ) ],
% 0.97/1.36     [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3', 
% 0.97/1.36    'lower_dimension_point_1' ) ) ],
% 0.97/1.36     [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1', 
% 0.97/1.36    'lower_dimension_point_2' ) ) ],
% 0.97/1.36     [ ~( 'equal_distance'( distance( X, Y ), distance( X, Z ) ) ), ~( 
% 0.97/1.36    'equal_distance'( distance( T, Y ), distance( T, Z ) ) ), ~( 
% 0.97/1.36    'equal_distance'( distance( U, Y ), distance( U, Z ) ) ), between( X, T, 
% 0.97/1.36    U ), between( T, U, X ), between( U, X, T ), =( Y, Z ) ],
% 0.97/1.36     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 0.97/1.36    X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.97/1.36     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 0.97/1.36    X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.97/1.36     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 0.97/1.36    euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.97/1.36     [ ~( 'equal_distance'( distance( X, Y ), distance( X, Z ) ) ), ~( 
% 0.97/1.36    'equal_distance'( distance( X, T ), distance( X, U ) ) ), ~( between( X, 
% 0.97/1.36    Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X, Y, Z, W, T
% 0.97/1.36    , U ), U ) ],
% 0.97/1.36     [ ~( 'equal_distance'( distance( X, Y ), distance( X, Z ) ) ), ~( 
% 0.97/1.36    'equal_distance'( distance( X, T ), distance( X, U ) ) ), ~( between( X, 
% 0.97/1.36    Y, T ) ), ~( between( Y, W, T ) ), 'equal_distance'( distance( X, W ), 
% 0.97/1.36    distance( X, continuous( X, Y, Z, W, T, U ) ) ) ],
% 0.97/1.36     [ colinear( 'lower_dimension_point_1', 'lower_dimension_point_2', 
% 0.97/1.36    'lower_dimension_point_3' ) ]
% 0.97/1.36  ] .
% 0.97/1.36  
% 0.97/1.36  
% 0.97/1.36  percentage equality = 0.104478, percentage horn = 0.739130
% 0.97/1.36  This is a problem with some equality
% 0.97/1.36  
% 0.97/1.36  
% 0.97/1.36  
% 0.97/1.36  Options Used:
% 0.97/1.36  
% 0.97/1.36  useres =            1
% 0.97/1.36  useparamod =        1
% 0.97/1.36  useeqrefl =         1
% 0.97/1.36  useeqfact =         1
% 0.97/1.36  usefactor =         1
% 0.97/1.36  usesimpsplitting =  0
% 0.97/1.36  usesimpdemod =      5
% 0.97/1.36  usesimpres =        3
% 0.97/1.36  
% 0.97/1.36  resimpinuse      =  1000
% 0.97/1.36  resimpclauses =     20000
% 0.97/1.36  substype =          eqrewr
% 0.97/1.36  backwardsubs =      1
% 0.97/1.36  selectoldest =      5
% 0.97/1.36  
% 0.97/1.36  litorderings [0] =  split
% 0.97/1.36  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.97/1.36  
% 0.97/1.36  termordering =      kbo
% 0.97/1.36  
% 0.97/1.36  litapriori =        0
% 0.97/1.36  termapriori =       1
% 0.97/1.36  litaposteriori =    0
% 0.97/1.36  termaposteriori =   0
% 0.97/1.36  demodaposteriori =  0
% 0.97/1.36  ordereqreflfact =   0
% 0.97/1.36  
% 0.97/1.36  litselect =         negord
% 0.97/1.36  
% 0.97/1.36  maxweight =         15
% 0.97/1.36  maxdepth =          30000
% 0.97/1.36  maxlength =         115
% 0.97/1.36  maxnrvars =         195
% 0.97/1.36  excuselevel =       1
% 0.97/1.36  increasemaxweight = 1
% 0.97/1.36  
% 0.97/1.36  maxselected =       10000000
% 0.97/1.36  maxnrclauses =      10000000
% 0.97/1.36  
% 0.97/1.36  showgenerated =    0
% 0.97/1.36  showkept =         0
% 0.97/1.36  showselected =     0
% 0.97/1.36  showdeleted =      0
% 0.97/1.36  showresimp =       1
% 0.97/1.36  showstatus =       2000
% 0.97/1.36  
% 0.97/1.36  prologoutput =     1
% 0.97/1.36  nrgoals =          5000000
% 0.97/1.36  totalproof =       1
% 0.97/1.36  
% 0.97/1.36  Symbols occurring in the translation:
% 0.97/1.36  
% 0.97/1.36  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.97/1.36  .  [1, 2]      (w:1, o:28, a:1, s:1, b:0), 
% 0.97/1.36  !  [4, 1]      (w:0, o:23, a:1, s:1, b:0), 
% 0.97/1.36  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.97/1.36  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.97/1.36  between  [42, 3]      (w:1, o:55, a:1, s:1, b:0), 
% 0.97/1.36  colinear  [43, 3]      (w:1, o:56, a:1, s:1, b:0), 
% 0.97/1.36  distance  [44, 2]      (w:1, o:53, a:1, s:1, b:0), 
% 0.97/1.36  'equal_distance'  [45, 2]      (w:1, o:54, a:1, s:1, b:0), 
% 0.97/1.36  extension  [49, 4]      (w:1, o:57, a:1, s:1, b:0), 
% 0.97/1.36  'inner_pasch'  [55, 5]      (w:1, o:58, a:1, s:1, b:0), 
% 0.97/1.36  'lower_dimension_point_1'  [56, 0]      (w:1, o:20, a:1, s:1, b:0), 
% 0.97/1.36  'lower_dimension_point_2'  [57, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 0.97/1.36  'lower_dimension_point_3'  [58, 0]      (w:1, o:22, a:1, s:1, b:0), 
% 0.97/1.36  euclid1  [59, 5]      (w:1, o:59, a:1, s:1, b:0), 
% 0.97/1.36  euclid2  [60, 5]      (w:1, o:60, a:1, s:1, b:0), 
% 0.97/1.36  continuous  [61, 6]      (w:1, o:61, a:1, s:1, b:0).
% 0.97/1.36  
% 0.97/1.36  
% 0.97/1.36  Starting Search:
% 0.97/1.36  
% 0.97/1.36  Resimplifying inuse:
% 0.97/1.36  Done
% 0.97/1.36  
% 0.97/1.36  
% 0.97/1.36  Bliksems!, er is een bewijs:
% 0.97/1.36  % SZS status Unsatisfiable
% 0.97/1.36  % SZS output start Refutation
% 0.97/1.36  
% 0.97/1.36  clause( 3, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z, X
% 0.97/1.36     ), between( Z, X, Y ) ] )
% 0.97/1.36  .
% 0.97/1.36  clause( 13, [ ~( between( 'lower_dimension_point_1', 
% 0.97/1.36    'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.97/1.36  .
% 0.97/1.36  clause( 14, [ ~( between( 'lower_dimension_point_2', 
% 0.97/1.36    'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.97/1.36  .
% 0.97/1.36  clause( 15, [ ~( between( 'lower_dimension_point_3', 
% 0.97/1.36    'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.97/1.36  .
% 0.97/1.36  clause( 22, [ colinear( 'lower_dimension_point_1', 
% 0.97/1.36    'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 0.97/1.36  .
% 0.97/1.36  clause( 84, [ between( 'lower_dimension_point_2', 'lower_dimension_point_3'
% 0.97/1.36    , 'lower_dimension_point_1' ), between( 'lower_dimension_point_3', 
% 0.97/1.36    'lower_dimension_point_1', 'lower_dimension_point_2' ) ] )
% 0.97/1.36  .
% 0.97/1.36  clause( 1605, [] )
% 0.97/1.36  .
% 0.97/1.36  
% 0.97/1.36  
% 0.97/1.36  % SZS output end Refutation
% 0.97/1.36  found a proof!
% 0.97/1.36  
% 0.97/1.36  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.97/1.36  
% 0.97/1.36  initialclauses(
% 0.97/1.36  [ clause( 1607, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 0.97/1.36  , clause( 1608, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 0.97/1.36  , clause( 1609, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 0.97/1.36  , clause( 1610, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 0.97/1.36    , Z, X ), between( Z, X, Y ) ] )
% 0.97/1.36  , clause( 1611, [ 'equal_distance'( distance( X, Y ), distance( Y, X ) ) ]
% 0.97/1.36     )
% 0.97/1.36  , clause( 1612, [ ~( 'equal_distance'( distance( X, Y ), distance( Z, T ) )
% 0.97/1.36     ), ~( 'equal_distance'( distance( X, Y ), distance( U, W ) ) ), 
% 0.97/1.36    'equal_distance'( distance( Z, T ), distance( U, W ) ) ] )
% 0.97/1.36  , clause( 1613, [ ~( 'equal_distance'( distance( X, Y ), distance( Z, Z ) )
% 0.97/1.36     ), =( X, Y ) ] )
% 0.97/1.36  , clause( 1614, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.97/1.36  , clause( 1615, [ 'equal_distance'( distance( X, extension( Y, X, Z, T ) )
% 0.97/1.36    , distance( Z, T ) ) ] )
% 0.97/1.36  , clause( 1616, [ ~( 'equal_distance'( distance( X, Y ), distance( Z, T ) )
% 0.97/1.36     ), ~( 'equal_distance'( distance( Y, U ), distance( T, W ) ) ), ~( 
% 0.97/1.36    'equal_distance'( distance( X, V0 ), distance( Z, V1 ) ) ), ~( 
% 0.97/1.36    'equal_distance'( distance( Y, V0 ), distance( T, V1 ) ) ), ~( between( X
% 0.97/1.36    , Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), 'equal_distance'( 
% 0.97/1.36    distance( U, V0 ), distance( W, V1 ) ) ] )
% 0.97/1.36  , clause( 1617, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.97/1.36  , clause( 1618, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( 
% 0.97/1.36    Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 0.97/1.36  , clause( 1619, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( 
% 0.97/1.36    U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 0.97/1.36  , clause( 1620, [ ~( between( 'lower_dimension_point_1', 
% 0.97/1.36    'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.97/1.36  , clause( 1621, [ ~( between( 'lower_dimension_point_2', 
% 0.97/1.36    'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.97/1.36  , clause( 1622, [ ~( between( 'lower_dimension_point_3', 
% 0.97/1.36    'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.97/1.36  , clause( 1623, [ ~( 'equal_distance'( distance( X, Y ), distance( X, Z ) )
% 0.97/1.36     ), ~( 'equal_distance'( distance( T, Y ), distance( T, Z ) ) ), ~( 
% 0.97/1.36    'equal_distance'( distance( U, Y ), distance( U, Z ) ) ), between( X, T, 
% 0.97/1.36    U ), between( T, U, X ), between( U, X, T ), =( Y, Z ) ] )
% 0.97/1.36  , clause( 1624, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.97/1.36     ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 0.97/1.36  , clause( 1625, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.97/1.36     ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 0.97/1.36  , clause( 1626, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.97/1.36     ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ] )
% 0.97/1.36  , clause( 1627, [ ~( 'equal_distance'( distance( X, Y ), distance( X, Z ) )
% 0.97/1.36     ), ~( 'equal_distance'( distance( X, T ), distance( X, U ) ) ), ~( 
% 0.97/1.36    between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.97/1.36    , Y, Z, W, T, U ), U ) ] )
% 0.97/1.36  , clause( 1628, [ ~( 'equal_distance'( distance( X, Y ), distance( X, Z ) )
% 0.97/1.36     ), ~( 'equal_distance'( distance( X, T ), distance( X, U ) ) ), ~( 
% 0.97/1.36    between( X, Y, T ) ), ~( between( Y, W, T ) ), 'equal_distance'( distance( 
% 0.97/1.36    X, W ), distance( X, continuous( X, Y, Z, W, T, U ) ) ) ] )
% 0.97/1.36  , clause( 1629, [ colinear( 'lower_dimension_point_1', 
% 0.97/1.36    'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 0.97/1.36  ] ).
% 0.97/1.36  
% 0.97/1.36  
% 0.97/1.36  
% 0.97/1.36  subsumption(
% 0.97/1.36  clause( 3, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z, X
% 0.97/1.36     ), between( Z, X, Y ) ] )
% 0.97/1.36  , clause( 1610, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 0.97/1.36    , Z, X ), between( Z, X, Y ) ] )
% 0.97/1.36  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 0.97/1.36    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.97/1.36     ).
% 0.97/1.36  
% 0.97/1.36  
% 0.97/1.36  subsumption(
% 0.97/1.36  clause( 13, [ ~( between( 'lower_dimension_point_1', 
% 0.97/1.36    'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.97/1.36  , clause( 1620, [ ~( between( 'lower_dimension_point_1', 
% 0.97/1.36    'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.97/1.36  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.97/1.36  
% 0.97/1.36  
% 0.97/1.36  subsumption(
% 0.97/1.36  clause( 14, [ ~( between( 'lower_dimension_point_2', 
% 0.97/1.36    'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.97/1.36  , clause( 1621, [ ~( between( 'lower_dimension_point_2', 
% 0.97/1.36    'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.97/1.36  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.97/1.36  
% 0.97/1.36  
% 0.97/1.36  subsumption(
% 0.97/1.36  clause( 15, [ ~( between( 'lower_dimension_point_3', 
% 0.97/1.36    'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.97/1.36  , clause( 1622, [ ~( between( 'lower_dimension_point_3', 
% 0.97/1.36    'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.97/1.36  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.97/1.36  
% 0.97/1.36  
% 0.97/1.36  subsumption(
% 0.97/1.36  clause( 22, [ colinear( 'lower_dimension_point_1', 
% 0.97/1.36    'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 0.97/1.36  , clause( 1629, [ colinear( 'lower_dimension_point_1', 
% 0.97/1.36    'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 0.97/1.36  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.97/1.36  
% 0.97/1.36  
% 0.97/1.36  resolution(
% 0.97/1.36  clause( 1800, [ ~( colinear( 'lower_dimension_point_1', 
% 0.97/1.36    'lower_dimension_point_2', 'lower_dimension_point_3' ) ), between( 
% 0.97/1.36    'lower_dimension_point_2', 'lower_dimension_point_3', 
% 0.97/1.36    'lower_dimension_point_1' ), between( 'lower_dimension_point_3', 
% 0.97/1.36    'lower_dimension_point_1', 'lower_dimension_point_2' ) ] )
% 0.97/1.36  , clause( 13, [ ~( between( 'lower_dimension_point_1', 
% 0.97/1.36    'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.97/1.36  , 0, clause( 3, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 0.97/1.36    , Z, X ), between( Z, X, Y ) ] )
% 0.97/1.36  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 
% 0.97/1.36    'lower_dimension_point_1' ), :=( Y, 'lower_dimension_point_2' ), :=( Z, 
% 0.97/1.36    'lower_dimension_point_3' )] )).
% 0.97/1.36  
% 0.97/1.36  
% 0.97/1.36  resolution(
% 0.97/1.36  clause( 1803, [ between( 'lower_dimension_point_2', 
% 0.97/1.36    'lower_dimension_point_3', 'lower_dimension_point_1' ), between( 
% 0.97/1.36    'lower_dimension_point_3', 'lower_dimension_point_1', 
% 0.97/1.36    'lower_dimension_point_2' ) ] )
% 0.97/1.36  , clause( 1800, [ ~( colinear( 'lower_dimension_point_1', 
% 0.97/1.36    'lower_dimension_point_2', 'lower_dimension_point_3' ) ), between( 
% 0.97/1.36    'lower_dimension_point_2', 'lower_dimension_point_3', 
% 0.97/1.36    'lower_dimension_point_1' ), between( 'lower_dimension_point_3', 
% 0.97/1.36    'lower_dimension_point_1', 'lower_dimension_point_2' ) ] )
% 0.97/1.36  , 0, clause( 22, [ colinear( 'lower_dimension_point_1', 
% 0.97/1.36    'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 0.97/1.36  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.97/1.36  
% 0.97/1.36  
% 0.97/1.36  subsumption(
% 0.97/1.36  clause( 84, [ between( 'lower_dimension_point_2', 'lower_dimension_point_3'
% 0.97/1.36    , 'lower_dimension_point_1' ), between( 'lower_dimension_point_3', 
% 0.97/1.36    'lower_dimension_point_1', 'lower_dimension_point_2' ) ] )
% 0.97/1.36  , clause( 1803, [ between( 'lower_dimension_point_2', 
% 0.97/1.36    'lower_dimension_point_3', 'lower_dimension_point_1' ), between( 
% 0.97/1.36    'lower_dimension_point_3', 'lower_dimension_point_1', 
% 0.97/1.36    'lower_dimension_point_2' ) ] )
% 0.97/1.36  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 0.97/1.36     ).
% 0.97/1.36  
% 0.97/1.36  
% 0.97/1.36  resolution(
% 0.97/1.36  clause( 1804, [ between( 'lower_dimension_point_3', 
% 0.97/1.36    'lower_dimension_point_1', 'lower_dimension_point_2' ) ] )
% 0.97/1.36  , clause( 14, [ ~( between( 'lower_dimension_point_2', 
% 0.97/1.36    'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.97/1.36  , 0, clause( 84, [ between( 'lower_dimension_point_2', 
% 0.97/1.36    'lower_dimension_point_3', 'lower_dimension_point_1' ), between( 
% 0.97/1.36    'lower_dimension_point_3', 'lower_dimension_point_1', 
% 0.97/1.36    'lower_dimension_point_2' ) ] )
% 0.97/1.36  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.97/1.36  
% 0.97/1.36  
% 0.97/1.36  resolution(
% 0.97/1.36  clause( 1805, [] )
% 0.97/1.36  , clause( 15, [ ~( between( 'lower_dimension_point_3', 
% 0.97/1.36    'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.97/1.36  , 0, clause( 1804, [ between( 'lower_dimension_point_3', 
% 0.97/1.36    'lower_dimension_point_1', 'lower_dimension_point_2' ) ] )
% 0.97/1.36  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.97/1.36  
% 0.97/1.36  
% 0.97/1.36  subsumption(
% 0.97/1.36  clause( 1605, [] )
% 0.97/1.36  , clause( 1805, [] )
% 0.97/1.36  , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.97/1.36  
% 0.97/1.36  
% 0.97/1.36  end.
% 0.97/1.36  
% 0.97/1.36  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.97/1.36  
% 0.97/1.36  Memory use:
% 0.97/1.36  
% 0.97/1.36  space for terms:        61459
% 0.97/1.36  space for clauses:      79079
% 0.97/1.36  
% 0.97/1.36  
% 0.97/1.36  clauses generated:      10981
% 0.97/1.36  clauses kept:           1606
% 0.97/1.36  clauses selected:       80
% 0.97/1.36  clauses deleted:        24
% 0.97/1.36  clauses inuse deleted:  0
% 0.97/1.36  
% 0.97/1.36  subsentry:          37531
% 0.97/1.36  literals s-matched: 32618
% 0.97/1.36  literals matched:   26228
% 0.97/1.36  full subsumption:   24105
% 0.97/1.36  
% 0.97/1.36  checksum:           -833081430
% 0.97/1.36  
% 0.97/1.36  
% 0.97/1.36  Bliksem ended
%------------------------------------------------------------------------------