TSTP Solution File: GEO010-2 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : GEO010-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n013.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 02:50:48 EDT 2022

% Result   : Unsatisfiable 23.35s 23.78s
% Output   : Refutation 23.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : GEO010-2 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.14  % Command  : bliksem %s
% 0.14/0.36  % Computer : n013.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % DateTime : Sat Jun 18 02:49:59 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 23.35/23.78  *** allocated 10000 integers for termspace/termends
% 23.35/23.78  *** allocated 10000 integers for clauses
% 23.35/23.78  *** allocated 10000 integers for justifications
% 23.35/23.78  Bliksem 1.12
% 23.35/23.78  
% 23.35/23.78  
% 23.35/23.78  Automatic Strategy Selection
% 23.35/23.78  
% 23.35/23.78  Clauses:
% 23.35/23.78  [
% 23.35/23.78     [ equidistant( X, Y, Y, X ) ],
% 23.35/23.78     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ), 
% 23.35/23.78    equidistant( Z, T, U, W ) ],
% 23.35/23.78     [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 23.35/23.78     [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 23.35/23.78     [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 23.35/23.78     [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~( 
% 23.35/23.78    equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~( 
% 23.35/23.78    between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 23.35/23.78    , V0, W, V1 ) ],
% 23.35/23.78     [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 23.35/23.78     [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y, 
% 23.35/23.78    'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 23.35/23.78     [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U, 
% 23.35/23.78    'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 23.35/23.78     [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2', 
% 23.35/23.78    'lower_dimension_point_3' ) ) ],
% 23.35/23.78     [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3', 
% 23.35/23.78    'lower_dimension_point_1' ) ) ],
% 23.35/23.78     [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1', 
% 23.35/23.78    'lower_dimension_point_2' ) ) ],
% 23.35/23.78     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~( 
% 23.35/23.78    equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ), 
% 23.35/23.78    between( U, X, T ), =( Y, Z ) ],
% 23.35/23.78     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 23.35/23.78    X, T, euclid1( X, T, Y, U, Z ) ) ],
% 23.35/23.78     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 23.35/23.78    X, U, euclid2( X, T, Y, U, Z ) ) ],
% 23.35/23.78     [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between( 
% 23.35/23.78    euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 23.35/23.78     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~( 
% 23.35/23.78    between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 23.35/23.78    , Y, Z, W, T, U ), U ) ],
% 23.35/23.78     [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~( 
% 23.35/23.78    between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X, 
% 23.35/23.78    continuous( X, Y, Z, W, T, U ) ) ],
% 23.35/23.78     [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ],
% 23.35/23.78     [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ],
% 23.35/23.78     [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ],
% 23.35/23.78     [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z, X ), 
% 23.35/23.78    between( Z, X, Y ) ],
% 23.35/23.78     [ colinear( a, b, c ) ],
% 23.35/23.78     [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( colinear( b, c
% 23.35/23.78    , a ) ), ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) ) ]
% 23.35/23.78  ] .
% 23.35/23.78  
% 23.35/23.78  
% 23.35/23.78  percentage equality = 0.097222, percentage horn = 0.750000
% 23.35/23.78  This is a problem with some equality
% 23.35/23.78  
% 23.35/23.78  
% 23.35/23.78  
% 23.35/23.78  Options Used:
% 23.35/23.78  
% 23.35/23.78  useres =            1
% 23.35/23.78  useparamod =        1
% 23.35/23.78  useeqrefl =         1
% 23.35/23.78  useeqfact =         1
% 23.35/23.78  usefactor =         1
% 23.35/23.78  usesimpsplitting =  0
% 23.35/23.78  usesimpdemod =      5
% 23.35/23.78  usesimpres =        3
% 23.35/23.78  
% 23.35/23.78  resimpinuse      =  1000
% 23.35/23.78  resimpclauses =     20000
% 23.35/23.78  substype =          eqrewr
% 23.35/23.78  backwardsubs =      1
% 23.35/23.78  selectoldest =      5
% 23.35/23.78  
% 23.35/23.78  litorderings [0] =  split
% 23.35/23.78  litorderings [1] =  extend the termordering, first sorting on arguments
% 23.35/23.78  
% 23.35/23.78  termordering =      kbo
% 23.35/23.78  
% 23.35/23.78  litapriori =        0
% 23.35/23.78  termapriori =       1
% 23.35/23.78  litaposteriori =    0
% 23.35/23.78  termaposteriori =   0
% 23.35/23.78  demodaposteriori =  0
% 23.35/23.78  ordereqreflfact =   0
% 23.35/23.78  
% 23.35/23.78  litselect =         negord
% 23.35/23.78  
% 23.35/23.78  maxweight =         15
% 23.35/23.78  maxdepth =          30000
% 23.35/23.78  maxlength =         115
% 23.35/23.78  maxnrvars =         195
% 23.35/23.78  excuselevel =       1
% 23.35/23.78  increasemaxweight = 1
% 23.35/23.78  
% 23.35/23.78  maxselected =       10000000
% 23.35/23.78  maxnrclauses =      10000000
% 23.35/23.78  
% 23.35/23.78  showgenerated =    0
% 23.35/23.78  showkept =         0
% 23.35/23.78  showselected =     0
% 23.35/23.78  showdeleted =      0
% 23.35/23.78  showresimp =       1
% 23.35/23.78  showstatus =       2000
% 23.35/23.78  
% 23.35/23.78  prologoutput =     1
% 23.35/23.78  nrgoals =          5000000
% 23.35/23.78  totalproof =       1
% 23.35/23.78  
% 23.35/23.78  Symbols occurring in the translation:
% 23.35/23.78  
% 23.35/23.78  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 23.35/23.78  .  [1, 2]      (w:1, o:31, a:1, s:1, b:0), 
% 23.35/23.78  !  [4, 1]      (w:0, o:26, a:1, s:1, b:0), 
% 23.35/23.78  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 23.35/23.78  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 23.35/23.78  equidistant  [41, 4]      (w:1, o:58, a:1, s:1, b:0), 
% 23.35/23.78  extension  [46, 4]      (w:1, o:59, a:1, s:1, b:0), 
% 23.35/23.78  between  [47, 3]      (w:1, o:56, a:1, s:1, b:0), 
% 23.35/23.78  'inner_pasch'  [53, 5]      (w:1, o:60, a:1, s:1, b:0), 
% 23.35/23.78  'lower_dimension_point_1'  [54, 0]      (w:1, o:20, a:1, s:1, b:0), 
% 23.35/23.78  'lower_dimension_point_2'  [55, 0]      (w:1, o:21, a:1, s:1, b:0), 
% 23.35/23.78  'lower_dimension_point_3'  [56, 0]      (w:1, o:22, a:1, s:1, b:0), 
% 23.35/23.78  euclid1  [57, 5]      (w:1, o:61, a:1, s:1, b:0), 
% 23.35/23.78  euclid2  [58, 5]      (w:1, o:62, a:1, s:1, b:0), 
% 23.35/23.78  continuous  [59, 6]      (w:1, o:63, a:1, s:1, b:0), 
% 23.35/23.78  colinear  [60, 3]      (w:1, o:57, a:1, s:1, b:0), 
% 23.35/23.78  a  [61, 0]      (w:1, o:23, a:1, s:1, b:0), 
% 23.35/23.78  b  [62, 0]      (w:1, o:24, a:1, s:1, b:0), 
% 23.35/23.78  c  [63, 0]      (w:1, o:25, a:1, s:1, b:0).
% 23.35/23.78  
% 23.35/23.78  
% 23.35/23.78  Starting Search:
% 23.35/23.78  
% 23.35/23.78  Resimplifying inuse:
% 23.35/23.78  Done
% 23.35/23.78  
% 23.35/23.78  
% 23.35/23.78  Intermediate Status:
% 23.35/23.78  Generated:    13277
% 23.35/23.78  Kept:         2142
% 23.35/23.78  Inuse:        140
% 23.35/23.78  Deleted:      27
% 23.35/23.78  Deletedinuse: 0
% 23.35/23.78  
% 23.35/23.78  Resimplifying inuse:
% 23.35/23.78  Done
% 23.35/23.78  
% 23.35/23.78  Resimplifying inuse:
% 23.35/23.78  Done
% 23.35/23.78  
% 23.35/23.78  
% 23.35/23.78  Intermediate Status:
% 23.35/23.78  Generated:    36762
% 23.35/23.78  Kept:         4143
% 23.35/23.78  Inuse:        350
% 23.35/23.78  Deleted:      64
% 23.35/23.78  Deletedinuse: 1
% 23.35/23.78  
% 23.35/23.78  Resimplifying inuse:
% 23.35/23.78  Done
% 23.35/23.78  
% 23.35/23.78  Resimplifying inuse:
% 23.35/23.78  Done
% 23.35/23.78  
% 23.35/23.78  
% 23.35/23.78  Intermediate Status:
% 23.35/23.78  Generated:    60608
% 23.35/23.78  Kept:         6145
% 23.35/23.78  Inuse:        539
% 23.35/23.78  Deleted:      64
% 23.35/23.78  Deletedinuse: 1
% 23.35/23.78  
% 23.35/23.78  Resimplifying inuse:
% 23.35/23.78  Done
% 23.35/23.78  
% 23.35/23.78  Resimplifying inuse:
% 23.35/23.78  Done
% 23.35/23.78  
% 23.35/23.78  
% 23.35/23.78  Intermediate Status:
% 23.35/23.78  Generated:    82948
% 23.35/23.78  Kept:         8345
% 23.35/23.78  Inuse:        688
% 23.35/23.78  Deleted:      82
% 23.35/23.78  Deletedinuse: 19
% 23.35/23.78  
% 23.35/23.78  Resimplifying inuse:
% 23.35/23.78  Done
% 23.35/23.78  
% 23.35/23.78  Resimplifying inuse:
% 23.35/23.78  Done
% 23.35/23.78  
% 23.35/23.78  
% 23.35/23.78  Intermediate Status:
% 23.35/23.78  Generated:    194083
% 23.35/23.78  Kept:         10356
% 23.35/23.78  Inuse:        784
% 23.35/23.78  Deleted:      82
% 23.35/23.78  Deletedinuse: 19
% 23.35/23.78  
% 23.35/23.78  Resimplifying inuse:
% 23.35/23.78  Done
% 23.35/23.78  
% 23.35/23.78  Resimplifying inuse:
% 23.35/23.78  Done
% 23.35/23.78  
% 23.35/23.78  
% 23.35/23.78  Intermediate Status:
% 23.35/23.78  Generated:    296763
% 23.35/23.78  Kept:         12363
% 23.35/23.78  Inuse:        915
% 23.35/23.78  Deleted:      82
% 23.35/23.78  Deletedinuse: 19
% 23.35/23.78  
% 23.35/23.78  Resimplifying inuse:
% 23.35/23.78  Done
% 23.35/23.78  
% 23.35/23.78  Resimplifying inuse:
% 23.35/23.78  Done
% 23.35/23.78  
% 23.35/23.78  
% 23.35/23.78  Intermediate Status:
% 23.35/23.78  Generated:    376116
% 23.35/23.78  Kept:         14486
% 23.35/23.78  Inuse:        1027
% 23.35/23.78  Deleted:      241
% 23.35/23.78  Deletedinuse: 31
% 23.35/23.78  
% 23.35/23.78  Resimplifying inuse:
% 23.35/23.78  Done
% 23.35/23.78  
% 23.35/23.78  Resimplifying inuse:
% 23.35/23.78  Done
% 23.35/23.78  
% 23.35/23.78  
% 23.35/23.78  Intermediate Status:
% 23.35/23.78  Generated:    443565
% 23.35/23.78  Kept:         16495
% 23.35/23.78  Inuse:        1181
% 23.35/23.78  Deleted:      248
% 23.35/23.78  Deletedinuse: 32
% 23.35/23.78  
% 23.35/23.78  Resimplifying inuse:
% 23.35/23.78  Done
% 23.35/23.78  
% 23.35/23.78  Resimplifying inuse:
% 23.35/23.78  Done
% 23.35/23.78  
% 23.35/23.78  
% 23.35/23.78  Intermediate Status:
% 23.35/23.78  Generated:    724993
% 23.35/23.78  Kept:         18507
% 23.35/23.78  Inuse:        1319
% 23.35/23.78  Deleted:      372
% 23.35/23.78  Deletedinuse: 32
% 23.35/23.78  
% 23.35/23.78  Resimplifying inuse:
% 23.35/23.78  Done
% 23.35/23.78  
% 23.35/23.78  Resimplifying inuse:
% 23.35/23.78  Done
% 23.35/23.78  
% 23.35/23.78  Resimplifying clauses:
% 23.35/23.78  
% 23.35/23.78  Bliksems!, er is een bewijs:
% 23.35/23.78  % SZS status Unsatisfiable
% 23.35/23.78  % SZS output start Refutation
% 23.35/23.78  
% 23.35/23.78  clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 23.35/23.78  .
% 23.35/23.78  clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 23.35/23.78  .
% 23.35/23.78  clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 23.35/23.78  .
% 23.35/23.78  clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 23.35/23.78  .
% 23.35/23.78  clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y, 
% 23.35/23.78    'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 23.35/23.78  .
% 23.35/23.78  clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U, 
% 23.35/23.78    'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 23.35/23.78  .
% 23.35/23.78  clause( 18, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 23.35/23.78  .
% 23.35/23.78  clause( 19, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 23.35/23.78  .
% 23.35/23.78  clause( 20, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 23.35/23.78  .
% 23.35/23.78  clause( 21, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z, 
% 23.35/23.79    X ), between( Z, X, Y ) ] )
% 23.35/23.79  .
% 23.35/23.79  clause( 22, [ colinear( a, b, c ) ] )
% 23.35/23.79  .
% 23.35/23.79  clause( 23, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 23.35/23.79    colinear( b, c, a ) ), ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) )
% 23.35/23.79     ] )
% 23.35/23.79  .
% 23.35/23.79  clause( 207, [ =( extension( Y, X, Z, Z ), X ) ] )
% 23.35/23.79  .
% 23.35/23.79  clause( 215, [ between( X, Y, Y ) ] )
% 23.35/23.79  .
% 23.35/23.79  clause( 301, [ ~( between( X, Y, Z ) ), ~( between( U, T, Z ) ), between( Y
% 23.35/23.79    , W, U ), ~( between( W, 'inner_pasch'( X, Y, Z, T, U ), W ) ) ] )
% 23.35/23.79  .
% 23.35/23.79  clause( 336, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( T, Z, Z
% 23.35/23.79    , Y, X ), T ) ] )
% 23.35/23.79  .
% 23.35/23.79  clause( 1024, [ between( a, b, c ), between( b, c, a ), between( c, a, b )
% 23.35/23.79     ] )
% 23.35/23.79  .
% 23.35/23.79  clause( 1077, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 23.35/23.79    colinear( c, b, a ) ), ~( between( b, c, a ) ) ] )
% 23.35/23.79  .
% 23.35/23.79  clause( 1078, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 23.35/23.79    colinear( c, b, a ) ), ~( between( c, a, b ) ) ] )
% 23.35/23.79  .
% 23.35/23.79  clause( 1081, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 23.35/23.79    colinear( c, b, a ) ), ~( between( a, b, c ) ) ] )
% 23.35/23.79  .
% 23.35/23.79  clause( 14203, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 23.35/23.79  .
% 23.35/23.79  clause( 14480, [ ~( between( X, Y, Z ) ), colinear( Z, Y, X ) ] )
% 23.35/23.79  .
% 23.35/23.79  clause( 14481, [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 23.35/23.79  .
% 23.35/23.79  clause( 14482, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 23.35/23.79  .
% 23.35/23.79  clause( 20012, [ ~( between( b, c, a ) ) ] )
% 23.35/23.79  .
% 23.35/23.79  clause( 20013, [ ~( between( c, a, b ) ) ] )
% 23.35/23.79  .
% 23.35/23.79  clause( 20015, [ ~( between( a, b, c ) ) ] )
% 23.35/23.79  .
% 23.35/23.79  clause( 20042, [] )
% 23.35/23.79  .
% 23.35/23.79  
% 23.35/23.79  
% 23.35/23.79  % SZS output end Refutation
% 23.35/23.79  found a proof!
% 23.35/23.79  
% 23.35/23.79  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 23.35/23.79  
% 23.35/23.79  initialclauses(
% 23.35/23.79  [ clause( 20044, [ equidistant( X, Y, Y, X ) ] )
% 23.35/23.79  , clause( 20045, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 23.35/23.79    , W ) ), equidistant( Z, T, U, W ) ] )
% 23.35/23.79  , clause( 20046, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 23.35/23.79  , clause( 20047, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 23.35/23.79  , clause( 20048, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 23.35/23.79  , clause( 20049, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 23.35/23.79    , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 23.35/23.79     ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), 
% 23.35/23.79    equidistant( U, V0, W, V1 ) ] )
% 23.35/23.79  , clause( 20050, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 23.35/23.79  , clause( 20051, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), 
% 23.35/23.79    between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 23.35/23.79  , clause( 20052, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), 
% 23.35/23.79    between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 23.35/23.79  , clause( 20053, [ ~( between( 'lower_dimension_point_1', 
% 23.35/23.79    'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 23.35/23.79  , clause( 20054, [ ~( between( 'lower_dimension_point_2', 
% 23.35/23.79    'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 23.35/23.79  , clause( 20055, [ ~( between( 'lower_dimension_point_3', 
% 23.35/23.79    'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 23.35/23.79  , clause( 20056, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 23.35/23.79    , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, 
% 23.35/23.79    U, X ), between( U, X, T ), =( Y, Z ) ] )
% 23.35/23.79  , clause( 20057, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 23.35/23.79    Y ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 23.35/23.79  , clause( 20058, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 23.35/23.79    Y ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 23.35/23.79  , clause( 20059, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, 
% 23.35/23.79    Y ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ]
% 23.35/23.79     )
% 23.35/23.79  , clause( 20060, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 23.35/23.79    , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, 
% 23.35/23.79    continuous( X, Y, Z, W, T, U ), U ) ] )
% 23.35/23.79  , clause( 20061, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 23.35/23.79    , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 23.35/23.79    , W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 23.35/23.79  , clause( 20062, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 23.35/23.79  , clause( 20063, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 23.35/23.79  , clause( 20064, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 23.35/23.79  , clause( 20065, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 23.35/23.79    , Z, X ), between( Z, X, Y ) ] )
% 23.35/23.79  , clause( 20066, [ colinear( a, b, c ) ] )
% 23.35/23.79  , clause( 20067, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 23.35/23.79    colinear( b, c, a ) ), ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) )
% 23.35/23.79     ] )
% 23.35/23.79  ] ).
% 23.35/23.79  
% 23.35/23.79  
% 23.35/23.79  
% 23.35/23.79  subsumption(
% 23.35/23.79  clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 23.35/23.79  , clause( 20046, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 23.35/23.79  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 23.35/23.79    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 23.35/23.79  
% 23.35/23.79  
% 23.35/23.79  subsumption(
% 23.35/23.79  clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 23.35/23.79  , clause( 20047, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 23.35/23.79  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 23.35/23.79    permutation( 0, [ ==>( 0, 0 )] ) ).
% 23.35/23.79  
% 23.35/23.79  
% 23.35/23.79  subsumption(
% 23.35/23.79  clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 23.35/23.79  , clause( 20048, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 23.35/23.79  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ), 
% 144.24/144.61    permutation( 0, [ ==>( 0, 0 )] ) ).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  subsumption(
% 144.24/144.61  clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 144.24/144.61  , clause( 20050, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 144.24/144.61  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 144.24/144.61     ), ==>( 1, 1 )] ) ).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  subsumption(
% 144.24/144.61  clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y, 
% 144.24/144.61    'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 144.24/144.61  , clause( 20051, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), 
% 144.24/144.61    between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 144.24/144.61  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 144.24/144.61    , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 144.24/144.61     ).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  subsumption(
% 144.24/144.61  clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U, 
% 144.24/144.61    'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 144.24/144.61  , clause( 20052, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), 
% 144.24/144.61    between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 144.24/144.61  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 144.24/144.61    , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 144.24/144.61     ).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  subsumption(
% 144.24/144.61  clause( 18, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 144.24/144.61  , clause( 20062, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 144.24/144.61  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 144.24/144.61    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  subsumption(
% 144.24/144.61  clause( 19, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 144.24/144.61  , clause( 20063, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 144.24/144.61  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 144.24/144.61    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  subsumption(
% 144.24/144.61  clause( 20, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 144.24/144.61  , clause( 20064, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 144.24/144.61  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 144.24/144.61    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  subsumption(
% 144.24/144.61  clause( 21, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z, 
% 144.24/144.61    X ), between( Z, X, Y ) ] )
% 144.24/144.61  , clause( 20065, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 144.24/144.61    , Z, X ), between( Z, X, Y ) ] )
% 144.24/144.61  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 144.24/144.61    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 144.24/144.61     ).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  subsumption(
% 144.24/144.61  clause( 22, [ colinear( a, b, c ) ] )
% 144.24/144.61  , clause( 20066, [ colinear( a, b, c ) ] )
% 144.24/144.61  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  subsumption(
% 144.24/144.61  clause( 23, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( b, c, a ) ), ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) )
% 144.24/144.61     ] )
% 144.24/144.61  , clause( 20067, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( b, c, a ) ), ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) )
% 144.24/144.61     ] )
% 144.24/144.61  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 144.24/144.61    , 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  eqswap(
% 144.24/144.61  clause( 20527, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 144.24/144.61  , clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 144.24/144.61  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  resolution(
% 144.24/144.61  clause( 20528, [ =( extension( X, Y, Z, Z ), Y ) ] )
% 144.24/144.61  , clause( 20527, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 144.24/144.61  , 1, clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 144.24/144.61  , 0, substitution( 0, [ :=( X, Y ), :=( Y, extension( X, Y, Z, Z ) ), :=( Z
% 144.24/144.61    , Z )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, Z
% 144.24/144.61     )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  subsumption(
% 144.24/144.61  clause( 207, [ =( extension( Y, X, Z, Z ), X ) ] )
% 144.24/144.61  , clause( 20528, [ =( extension( X, Y, Z, Z ), Y ) ] )
% 144.24/144.61  , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ), 
% 144.24/144.61    permutation( 0, [ ==>( 0, 0 )] ) ).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  paramod(
% 144.24/144.61  clause( 20531, [ between( X, Y, Y ) ] )
% 144.24/144.61  , clause( 207, [ =( extension( Y, X, Z, Z ), X ) ] )
% 144.24/144.61  , 0, clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 144.24/144.61  , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ), 
% 144.24/144.61    substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  subsumption(
% 144.24/144.61  clause( 215, [ between( X, Y, Y ) ] )
% 144.24/144.61  , clause( 20531, [ between( X, Y, Y ) ] )
% 144.24/144.61  , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 144.24/144.61     )] ) ).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  eqswap(
% 144.24/144.61  clause( 20532, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 144.24/144.61  , clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 144.24/144.61  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  paramod(
% 144.24/144.61  clause( 20533, [ between( X, W, U ), ~( between( W, 'inner_pasch'( Y, X, Z
% 144.24/144.61    , T, U ), W ) ), ~( between( Y, X, Z ) ), ~( between( U, T, Z ) ) ] )
% 144.24/144.61  , clause( 20532, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 144.24/144.61  , 0, clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( 
% 144.24/144.61    Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 144.24/144.61  , 2, 2, substitution( 0, [ :=( X, W ), :=( Y, 'inner_pasch'( Y, X, Z, T, U
% 144.24/144.61     ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, U
% 144.24/144.61     ), :=( U, T )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  subsumption(
% 144.24/144.61  clause( 301, [ ~( between( X, Y, Z ) ), ~( between( U, T, Z ) ), between( Y
% 144.24/144.61    , W, U ), ~( between( W, 'inner_pasch'( X, Y, Z, T, U ), W ) ) ] )
% 144.24/144.61  , clause( 20533, [ between( X, W, U ), ~( between( W, 'inner_pasch'( Y, X, 
% 144.24/144.61    Z, T, U ), W ) ), ~( between( Y, X, Z ) ), ~( between( U, T, Z ) ) ] )
% 144.24/144.61  , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T ), :=( U
% 144.24/144.61    , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 3 ), ==>( 2
% 144.24/144.61    , 0 ), ==>( 3, 1 )] ) ).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  resolution(
% 144.24/144.61  clause( 26153, [ ~( between( Z, T, Y ) ), between( T, 'inner_pasch'( X, Y, 
% 144.24/144.61    Y, T, Z ), X ) ] )
% 144.24/144.61  , clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U
% 144.24/144.61    , 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 144.24/144.61  , 0, clause( 215, [ between( X, Y, Y ) ] )
% 144.24/144.61  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Z ), 
% 144.24/144.61    :=( U, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  subsumption(
% 144.24/144.61  clause( 336, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( T, Z, Z
% 144.24/144.61    , Y, X ), T ) ] )
% 144.24/144.61  , clause( 26153, [ ~( between( Z, T, Y ) ), between( T, 'inner_pasch'( X, Y
% 144.24/144.61    , Y, T, Z ), X ) ] )
% 144.24/144.61  , substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] ), 
% 144.24/144.61    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  resolution(
% 144.24/144.61  clause( 26155, [ between( a, b, c ), between( b, c, a ), between( c, a, b )
% 144.24/144.61     ] )
% 144.24/144.61  , clause( 21, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z
% 144.24/144.61    , X ), between( Z, X, Y ) ] )
% 144.24/144.61  , 0, clause( 22, [ colinear( a, b, c ) ] )
% 144.24/144.61  , 0, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, c )] ), 
% 144.24/144.61    substitution( 1, [] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  subsumption(
% 144.24/144.61  clause( 1024, [ between( a, b, c ), between( b, c, a ), between( c, a, b )
% 144.24/144.61     ] )
% 144.24/144.61  , clause( 26155, [ between( a, b, c ), between( b, c, a ), between( c, a, b
% 144.24/144.61     ) ] )
% 144.24/144.61  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 144.24/144.61    , 2 )] ) ).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  resolution(
% 144.24/144.61  clause( 26158, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( c, a, b ) ), ~( colinear( c, b, a ) ), ~( between( b, c, a ) )
% 144.24/144.61     ] )
% 144.24/144.61  , clause( 23, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( b, c, a ) ), ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) )
% 144.24/144.61     ] )
% 144.24/144.61  , 2, clause( 18, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 144.24/144.61  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, c ), :=( 
% 144.24/144.61    Z, a )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  resolution(
% 144.24/144.61  clause( 26173, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( c, b, a ) ), ~( between( b, c, a ) ), ~( between( b, c, a ) ) ]
% 144.24/144.61     )
% 144.24/144.61  , clause( 26158, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( c, a, b ) ), ~( colinear( c, b, a ) ), ~( between( b, c, a ) )
% 144.24/144.61     ] )
% 144.24/144.61  , 2, clause( 20, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 144.24/144.61  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, c ), :=( 
% 144.24/144.61    Z, a )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  factor(
% 144.24/144.61  clause( 26175, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( c, b, a ) ), ~( between( b, c, a ) ) ] )
% 144.24/144.61  , clause( 26173, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( c, b, a ) ), ~( between( b, c, a ) ), ~( between( b, c, a ) ) ]
% 144.24/144.61     )
% 144.24/144.61  , 3, 4, substitution( 0, [] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  subsumption(
% 144.24/144.61  clause( 1077, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( c, b, a ) ), ~( between( b, c, a ) ) ] )
% 144.24/144.61  , clause( 26175, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( c, b, a ) ), ~( between( b, c, a ) ) ] )
% 144.24/144.61  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 144.24/144.61    , 2 ), ==>( 3, 3 )] ) ).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  resolution(
% 144.24/144.61  clause( 26179, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( b, c, a ) ), ~( colinear( c, b, a ) ), ~( between( c, a, b ) )
% 144.24/144.61     ] )
% 144.24/144.61  , clause( 23, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( b, c, a ) ), ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) )
% 144.24/144.61     ] )
% 144.24/144.61  , 3, clause( 18, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 144.24/144.61  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y, a ), :=( 
% 144.24/144.61    Z, b )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  resolution(
% 144.24/144.61  clause( 26197, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( c, b, a ) ), ~( between( c, a, b ) ), ~( between( c, a, b ) ) ]
% 144.24/144.61     )
% 144.24/144.61  , clause( 26179, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( b, c, a ) ), ~( colinear( c, b, a ) ), ~( between( c, a, b ) )
% 144.24/144.61     ] )
% 144.24/144.61  , 2, clause( 19, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 144.24/144.61  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y, a ), :=( 
% 144.24/144.61    Z, b )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  factor(
% 144.24/144.61  clause( 26199, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( c, b, a ) ), ~( between( c, a, b ) ) ] )
% 144.24/144.61  , clause( 26197, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( c, b, a ) ), ~( between( c, a, b ) ), ~( between( c, a, b ) ) ]
% 144.24/144.61     )
% 144.24/144.61  , 3, 4, substitution( 0, [] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  subsumption(
% 144.24/144.61  clause( 1078, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( c, b, a ) ), ~( between( c, a, b ) ) ] )
% 144.24/144.61  , clause( 26199, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( c, b, a ) ), ~( between( c, a, b ) ) ] )
% 144.24/144.61  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 144.24/144.61    , 2 ), ==>( 3, 3 )] ) ).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  resolution(
% 144.24/144.61  clause( 26203, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( b, c, a ) ), ~( colinear( c, b, a ) ), ~( between( a, b, c ) )
% 144.24/144.61     ] )
% 144.24/144.61  , clause( 23, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( b, c, a ) ), ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) )
% 144.24/144.61     ] )
% 144.24/144.61  , 3, clause( 19, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 144.24/144.61  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=( 
% 144.24/144.61    Z, c )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  resolution(
% 144.24/144.61  clause( 26221, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( c, b, a ) ), ~( between( a, b, c ) ), ~( between( a, b, c ) ) ]
% 144.24/144.61     )
% 144.24/144.61  , clause( 26203, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( b, c, a ) ), ~( colinear( c, b, a ) ), ~( between( a, b, c ) )
% 144.24/144.61     ] )
% 144.24/144.61  , 2, clause( 20, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 144.24/144.61  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=( 
% 144.24/144.61    Z, c )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  factor(
% 144.24/144.61  clause( 26223, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( c, b, a ) ), ~( between( a, b, c ) ) ] )
% 144.24/144.61  , clause( 26221, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( c, b, a ) ), ~( between( a, b, c ) ), ~( between( a, b, c ) ) ]
% 144.24/144.61     )
% 144.24/144.61  , 3, 4, substitution( 0, [] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  subsumption(
% 144.24/144.61  clause( 1081, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( c, b, a ) ), ~( between( a, b, c ) ) ] )
% 144.24/144.61  , clause( 26223, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( c, b, a ) ), ~( between( a, b, c ) ) ] )
% 144.24/144.61  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 144.24/144.61    , 2 ), ==>( 3, 3 )] ) ).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  resolution(
% 144.24/144.61  clause( 26228, [ ~( between( X, Y, Y ) ), ~( between( Z, X, Y ) ), between( 
% 144.24/144.61    Y, X, Z ), ~( between( Z, X, Y ) ) ] )
% 144.24/144.61  , clause( 301, [ ~( between( X, Y, Z ) ), ~( between( U, T, Z ) ), between( 
% 144.24/144.61    Y, W, U ), ~( between( W, 'inner_pasch'( X, Y, Z, T, U ), W ) ) ] )
% 144.24/144.61  , 3, clause( 336, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( T, 
% 144.24/144.61    Z, Z, Y, X ), T ) ] )
% 144.24/144.61  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, X ), 
% 144.24/144.61    :=( U, Z ), :=( W, X )] ), substitution( 1, [ :=( X, Z ), :=( Y, X ), 
% 144.24/144.61    :=( Z, Y ), :=( T, X )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  resolution(
% 144.24/144.61  clause( 26234, [ ~( between( Z, X, Y ) ), between( Y, X, Z ), ~( between( Z
% 144.24/144.61    , X, Y ) ) ] )
% 144.24/144.61  , clause( 26228, [ ~( between( X, Y, Y ) ), ~( between( Z, X, Y ) ), 
% 144.24/144.61    between( Y, X, Z ), ~( between( Z, X, Y ) ) ] )
% 144.24/144.61  , 0, clause( 215, [ between( X, Y, Y ) ] )
% 144.24/144.61  , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 144.24/144.61    substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  factor(
% 144.24/144.61  clause( 26235, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 144.24/144.61  , clause( 26234, [ ~( between( Z, X, Y ) ), between( Y, X, Z ), ~( between( 
% 144.24/144.61    Z, X, Y ) ) ] )
% 144.24/144.61  , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  subsumption(
% 144.24/144.61  clause( 14203, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 144.24/144.61  , clause( 26235, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 144.24/144.61  , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 144.24/144.61    permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  resolution(
% 144.24/144.61  clause( 26236, [ colinear( X, Y, Z ), ~( between( Z, Y, X ) ) ] )
% 144.24/144.61  , clause( 18, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 144.24/144.61  , 0, clause( 14203, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 144.24/144.61  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 144.24/144.61    substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  subsumption(
% 144.24/144.61  clause( 14480, [ ~( between( X, Y, Z ) ), colinear( Z, Y, X ) ] )
% 144.24/144.61  , clause( 26236, [ colinear( X, Y, Z ), ~( between( Z, Y, X ) ) ] )
% 144.24/144.61  , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ), 
% 144.24/144.61    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  resolution(
% 144.24/144.61  clause( 26237, [ colinear( Z, X, Y ), ~( between( Z, Y, X ) ) ] )
% 144.24/144.61  , clause( 19, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 144.24/144.61  , 0, clause( 14203, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 144.24/144.61  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 144.24/144.61    substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  subsumption(
% 144.24/144.61  clause( 14481, [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 144.24/144.61  , clause( 26237, [ colinear( Z, X, Y ), ~( between( Z, Y, X ) ) ] )
% 144.24/144.61  , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ), 
% 144.24/144.61    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  resolution(
% 144.24/144.61  clause( 26238, [ colinear( Y, Z, X ), ~( between( Z, Y, X ) ) ] )
% 144.24/144.61  , clause( 20, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 144.24/144.61  , 0, clause( 14203, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 144.24/144.61  , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ), 
% 144.24/144.61    substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  subsumption(
% 144.24/144.61  clause( 14482, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 144.24/144.61  , clause( 26238, [ colinear( Y, Z, X ), ~( between( Z, Y, X ) ) ] )
% 144.24/144.61  , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ), 
% 144.24/144.61    permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  resolution(
% 144.24/144.61  clause( 26239, [ ~( colinear( b, a, c ) ), ~( colinear( c, b, a ) ), ~( 
% 144.24/144.61    between( b, c, a ) ), ~( between( b, c, a ) ) ] )
% 144.24/144.61  , clause( 1077, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( c, b, a ) ), ~( between( b, c, a ) ) ] )
% 144.24/144.61  , 0, clause( 14480, [ ~( between( X, Y, Z ) ), colinear( Z, Y, X ) ] )
% 144.24/144.61  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, c ), :=( 
% 144.24/144.61    Z, a )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  factor(
% 144.24/144.61  clause( 26242, [ ~( colinear( b, a, c ) ), ~( colinear( c, b, a ) ), ~( 
% 144.24/144.61    between( b, c, a ) ) ] )
% 144.24/144.61  , clause( 26239, [ ~( colinear( b, a, c ) ), ~( colinear( c, b, a ) ), ~( 
% 144.24/144.61    between( b, c, a ) ), ~( between( b, c, a ) ) ] )
% 144.24/144.61  , 2, 3, substitution( 0, [] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  resolution(
% 144.24/144.61  clause( 26243, [ ~( colinear( c, b, a ) ), ~( between( b, c, a ) ), ~( 
% 144.24/144.61    between( b, c, a ) ) ] )
% 144.24/144.61  , clause( 26242, [ ~( colinear( b, a, c ) ), ~( colinear( c, b, a ) ), ~( 
% 144.24/144.61    between( b, c, a ) ) ] )
% 144.24/144.61  , 0, clause( 14481, [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 144.24/144.61  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, c ), :=( 
% 144.24/144.61    Z, a )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  factor(
% 144.24/144.61  clause( 26245, [ ~( colinear( c, b, a ) ), ~( between( b, c, a ) ) ] )
% 144.24/144.61  , clause( 26243, [ ~( colinear( c, b, a ) ), ~( between( b, c, a ) ), ~( 
% 144.24/144.61    between( b, c, a ) ) ] )
% 144.24/144.61  , 1, 2, substitution( 0, [] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  resolution(
% 144.24/144.61  clause( 26246, [ ~( between( b, c, a ) ), ~( between( b, c, a ) ) ] )
% 144.24/144.61  , clause( 26245, [ ~( colinear( c, b, a ) ), ~( between( b, c, a ) ) ] )
% 144.24/144.61  , 0, clause( 14482, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 144.24/144.61  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, c ), :=( 
% 144.24/144.61    Z, a )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  factor(
% 144.24/144.61  clause( 26247, [ ~( between( b, c, a ) ) ] )
% 144.24/144.61  , clause( 26246, [ ~( between( b, c, a ) ), ~( between( b, c, a ) ) ] )
% 144.24/144.61  , 0, 1, substitution( 0, [] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  subsumption(
% 144.24/144.61  clause( 20012, [ ~( between( b, c, a ) ) ] )
% 144.24/144.61  , clause( 26247, [ ~( between( b, c, a ) ) ] )
% 144.24/144.61  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  resolution(
% 144.24/144.61  clause( 26248, [ ~( colinear( b, a, c ) ), ~( colinear( c, b, a ) ), ~( 
% 144.24/144.61    between( c, a, b ) ), ~( between( c, a, b ) ) ] )
% 144.24/144.61  , clause( 1078, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( c, b, a ) ), ~( between( c, a, b ) ) ] )
% 144.24/144.61  , 0, clause( 14482, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 144.24/144.61  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y, a ), :=( 
% 144.24/144.61    Z, b )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  factor(
% 144.24/144.61  clause( 26251, [ ~( colinear( b, a, c ) ), ~( colinear( c, b, a ) ), ~( 
% 144.24/144.61    between( c, a, b ) ) ] )
% 144.24/144.61  , clause( 26248, [ ~( colinear( b, a, c ) ), ~( colinear( c, b, a ) ), ~( 
% 144.24/144.61    between( c, a, b ) ), ~( between( c, a, b ) ) ] )
% 144.24/144.61  , 2, 3, substitution( 0, [] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  resolution(
% 144.24/144.61  clause( 26252, [ ~( colinear( c, b, a ) ), ~( between( c, a, b ) ), ~( 
% 144.24/144.61    between( c, a, b ) ) ] )
% 144.24/144.61  , clause( 26251, [ ~( colinear( b, a, c ) ), ~( colinear( c, b, a ) ), ~( 
% 144.24/144.61    between( c, a, b ) ) ] )
% 144.24/144.61  , 0, clause( 14480, [ ~( between( X, Y, Z ) ), colinear( Z, Y, X ) ] )
% 144.24/144.61  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y, a ), :=( 
% 144.24/144.61    Z, b )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  factor(
% 144.24/144.61  clause( 26254, [ ~( colinear( c, b, a ) ), ~( between( c, a, b ) ) ] )
% 144.24/144.61  , clause( 26252, [ ~( colinear( c, b, a ) ), ~( between( c, a, b ) ), ~( 
% 144.24/144.61    between( c, a, b ) ) ] )
% 144.24/144.61  , 1, 2, substitution( 0, [] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  resolution(
% 144.24/144.61  clause( 26255, [ ~( between( c, a, b ) ), ~( between( c, a, b ) ) ] )
% 144.24/144.61  , clause( 26254, [ ~( colinear( c, b, a ) ), ~( between( c, a, b ) ) ] )
% 144.24/144.61  , 0, clause( 14481, [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 144.24/144.61  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y, a ), :=( 
% 144.24/144.61    Z, b )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  factor(
% 144.24/144.61  clause( 26256, [ ~( between( c, a, b ) ) ] )
% 144.24/144.61  , clause( 26255, [ ~( between( c, a, b ) ), ~( between( c, a, b ) ) ] )
% 144.24/144.61  , 0, 1, substitution( 0, [] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  subsumption(
% 144.24/144.61  clause( 20013, [ ~( between( c, a, b ) ) ] )
% 144.24/144.61  , clause( 26256, [ ~( between( c, a, b ) ) ] )
% 144.24/144.61  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  resolution(
% 144.24/144.61  clause( 26257, [ ~( colinear( b, a, c ) ), ~( colinear( c, b, a ) ), ~( 
% 144.24/144.61    between( a, b, c ) ), ~( between( a, b, c ) ) ] )
% 144.24/144.61  , clause( 1081, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( 
% 144.24/144.61    colinear( c, b, a ) ), ~( between( a, b, c ) ) ] )
% 144.24/144.61  , 0, clause( 14481, [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 144.24/144.61  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=( 
% 144.24/144.61    Z, c )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  factor(
% 144.24/144.61  clause( 26260, [ ~( colinear( b, a, c ) ), ~( colinear( c, b, a ) ), ~( 
% 144.24/144.61    between( a, b, c ) ) ] )
% 144.24/144.61  , clause( 26257, [ ~( colinear( b, a, c ) ), ~( colinear( c, b, a ) ), ~( 
% 144.24/144.61    between( a, b, c ) ), ~( between( a, b, c ) ) ] )
% 144.24/144.61  , 2, 3, substitution( 0, [] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  resolution(
% 144.24/144.61  clause( 26261, [ ~( colinear( c, b, a ) ), ~( between( a, b, c ) ), ~( 
% 144.24/144.61    between( a, b, c ) ) ] )
% 144.24/144.61  , clause( 26260, [ ~( colinear( b, a, c ) ), ~( colinear( c, b, a ) ), ~( 
% 144.24/144.61    between( a, b, c ) ) ] )
% 144.24/144.61  , 0, clause( 14482, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 144.24/144.61  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=( 
% 144.24/144.61    Z, c )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  factor(
% 144.24/144.61  clause( 26263, [ ~( colinear( c, b, a ) ), ~( between( a, b, c ) ) ] )
% 144.24/144.61  , clause( 26261, [ ~( colinear( c, b, a ) ), ~( between( a, b, c ) ), ~( 
% 144.24/144.61    between( a, b, c ) ) ] )
% 144.24/144.61  , 1, 2, substitution( 0, [] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  resolution(
% 144.24/144.61  clause( 26264, [ ~( between( a, b, c ) ), ~( between( a, b, c ) ) ] )
% 144.24/144.61  , clause( 26263, [ ~( colinear( c, b, a ) ), ~( between( a, b, c ) ) ] )
% 144.24/144.61  , 0, clause( 14480, [ ~( between( X, Y, Z ) ), colinear( Z, Y, X ) ] )
% 144.24/144.61  , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=( 
% 144.24/144.61    Z, c )] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  factor(
% 144.24/144.61  clause( 26265, [ ~( between( a, b, c ) ) ] )
% 144.24/144.61  , clause( 26264, [ ~( between( a, b, c ) ), ~( between( a, b, c ) ) ] )
% 144.24/144.61  , 0, 1, substitution( 0, [] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  subsumption(
% 144.24/144.61  clause( 20015, [ ~( between( a, b, c ) ) ] )
% 144.24/144.61  , clause( 26265, [ ~( between( a, b, c ) ) ] )
% 144.24/144.61  , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  resolution(
% 144.24/144.61  clause( 26266, [ between( b, c, a ), between( c, a, b ) ] )
% 144.24/144.61  , clause( 20015, [ ~( between( a, b, c ) ) ] )
% 144.24/144.61  , 0, clause( 1024, [ between( a, b, c ), between( b, c, a ), between( c, a
% 144.24/144.61    , b ) ] )
% 144.24/144.61  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  resolution(
% 144.24/144.61  clause( 26267, [ between( c, a, b ) ] )
% 144.24/144.61  , clause( 20012, [ ~( between( b, c, a ) ) ] )
% 144.24/144.61  , 0, clause( 26266, [ between( b, c, a ), between( c, a, b ) ] )
% 144.24/144.61  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  resolution(
% 144.24/144.61  clause( 26268, [] )
% 144.24/144.61  , clause( 20013, [ ~( between( c, a, b ) ) ] )
% 144.24/144.61  , 0, clause( 26267, [ between( c, a, b ) ] )
% 144.24/144.61  , 0, substitution( 0, [] ), substitution( 1, [] )).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  subsumption(
% 144.24/144.61  clause( 20042, [] )
% 144.24/144.61  , clause( 26268, [] )
% 144.24/144.61  , substitution( 0, [] ), permutation( 0, [] ) ).
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  end.
% 144.24/144.61  
% 144.24/144.61  % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 144.24/144.61  
% 144.24/144.61  Memory use:
% 144.24/144.61  
% 144.24/144.61  space for terms:        331258
% 144.24/144.61  space for clauses:      841044
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  clauses generated:      1149045
% 144.24/144.61  clauses kept:           20043
% 144.24/144.61  clauses selected:       1447
% 144.24/144.61  clauses deleted:        2303
% 144.24/144.61  clauses inuse deleted:  32
% 144.24/144.61  
% 144.24/144.61  subsentry:          90356276
% 144.24/144.61  literals s-matched: 73981679
% 144.24/144.61  literals matched:   25177851
% 144.24/144.61  full subsumption:   24962387
% 144.24/144.61  
% 144.24/144.61  checksum:           341076907
% 144.24/144.61  
% 144.24/144.61  
% 144.24/144.61  Bliksem ended
%------------------------------------------------------------------------------