TSTP Solution File: GEO010-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO010-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 7.47s 7.84s
% Output : Refutation 7.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : GEO010-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.14/0.15 % Command : bliksem %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Sat Jun 18 03:27:14 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.78/1.18 *** allocated 10000 integers for termspace/termends
% 0.78/1.18 *** allocated 10000 integers for clauses
% 0.78/1.18 *** allocated 10000 integers for justifications
% 0.78/1.18 Bliksem 1.12
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 Automatic Strategy Selection
% 0.78/1.18
% 0.78/1.18 Clauses:
% 0.78/1.18 [
% 0.78/1.18 [ equidistant( X, Y, Y, X ) ],
% 0.78/1.18 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 0.78/1.18 equidistant( Z, T, U, W ) ],
% 0.78/1.18 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.78/1.18 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.78/1.18 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.78/1.18 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.78/1.18 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 0.78/1.18 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.78/1.18 , V0, W, V1 ) ],
% 0.78/1.18 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.78/1.18 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 0.78/1.18 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.78/1.18 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 0.78/1.18 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.78/1.18 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.78/1.18 'lower_dimension_point_3' ) ) ],
% 0.78/1.18 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.78/1.18 'lower_dimension_point_1' ) ) ],
% 0.78/1.18 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.78/1.18 'lower_dimension_point_2' ) ) ],
% 0.78/1.18 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 0.78/1.18 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 0.78/1.18 between( U, X, T ), =( Y, Z ) ],
% 0.78/1.18 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.78/1.18 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.78/1.18 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.78/1.18 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.78/1.18 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.78/1.18 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.78/1.18 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.78/1.18 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.78/1.18 , Y, Z, W, T, U ), U ) ],
% 0.78/1.18 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.78/1.18 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 0.78/1.18 continuous( X, Y, Z, W, T, U ) ) ],
% 0.78/1.18 [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ],
% 0.78/1.18 [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ],
% 0.78/1.18 [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ],
% 0.78/1.18 [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z, X ),
% 0.78/1.18 between( Z, X, Y ) ],
% 0.78/1.18 [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ],
% 0.78/1.18 [ =( insertion( X, Y, Z, T ), extension( extension( Y, X,
% 0.78/1.18 'lower_dimension_point_1', 'lower_dimension_point_2' ), X, Z, T ) ) ]
% 0.78/1.18 ,
% 0.78/1.18 [ equidistant( X, Y, X, Y ) ],
% 0.78/1.18 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ],
% 0.78/1.18 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ],
% 0.78/1.18 [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z ) ],
% 0.78/1.18 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z ) ],
% 0.78/1.18 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X ) ],
% 0.78/1.18 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y ) ],
% 0.78/1.18 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X ) ],
% 0.78/1.18 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U, W ) ),
% 0.78/1.18 equidistant( X, Y, U, W ) ],
% 0.78/1.18 [ =( X, extension( Y, X, Z, Z ) ) ],
% 0.78/1.18 [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ],
% 0.78/1.18 [ between( X, Y, reflection( X, Y ) ) ],
% 0.78/1.18 [ equidistant( X, reflection( Y, X ), Y, X ) ],
% 0.78/1.18 [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ],
% 0.78/1.18 [ =( X, reflection( X, X ) ) ],
% 0.78/1.18 [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ],
% 0.78/1.18 [ equidistant( X, X, Y, Y ) ],
% 0.78/1.18 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.78/1.18 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X, U, Z, W )
% 0.78/1.18 ],
% 0.78/1.18 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~( equidistant( Y, Z
% 0.78/1.18 , Y, T ) ), =( X, Y ), =( Z, T ) ],
% 0.78/1.18 [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, Y, Y, Z ) ) ]
% 0.78/1.18 ,
% 0.78/1.18 [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y ), extension(
% 0.78/1.18 U, W, Z, T ) ), =( U, W ) ],
% 0.78/1.18 [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ), =( X, Y ) ]
% 4.61/5.07 ,
% 4.61/5.07 [ equidistant( X, Y, X, reflection( reflection( Y, X ), X ) ) ],
% 4.61/5.07 [ =( X, reflection( reflection( X, Y ), Y ) ) ],
% 4.61/5.07 [ between( X, Y, Y ) ],
% 4.61/5.07 [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z ) ],
% 4.61/5.07 [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ],
% 4.61/5.07 [ between( X, X, Y ) ],
% 4.61/5.07 [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ) ],
% 4.61/5.07 [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, Z ) ],
% 4.61/5.07 [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ), =( Y, Z )
% 4.61/5.07 ],
% 4.61/5.07 [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X, Y ), =( Y, Z )
% 4.61/5.07 ],
% 4.61/5.07 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, Z ) ]
% 4.61/5.07 ,
% 4.61/5.07 [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( Y, Z, T ) ]
% 4.61/5.07 ,
% 4.61/5.07 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Z, T ),
% 4.61/5.07 =( Y, Z ) ],
% 4.61/5.07 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, T ),
% 4.61/5.07 =( Y, Z ) ],
% 4.61/5.07 [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X, T, Z ) ]
% 4.61/5.07 ,
% 4.61/5.07 [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( X, Y, T ) ]
% 4.61/5.07 ,
% 4.61/5.07 [ ~( =( 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ],
% 4.61/5.07 [ ~( =( 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ],
% 4.61/5.07 [ ~( =( 'lower_dimension_point_1', 'lower_dimension_point_3' ) ) ],
% 4.61/5.07 [ ~( =( X, extension( Y, X, 'lower_dimension_point_1',
% 4.61/5.07 'lower_dimension_point_2' ) ) ) ],
% 4.61/5.07 [ equidistant( X, extension( Y, X, 'lower_dimension_point_1',
% 4.61/5.07 'lower_dimension_point_2' ), Z, extension( T, Z,
% 4.61/5.07 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ],
% 4.61/5.07 [ between( X, Y, extension( X, Y, 'lower_dimension_point_1',
% 4.61/5.07 'lower_dimension_point_2' ) ) ],
% 4.61/5.07 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), ~( between( X, W, T
% 4.61/5.07 ) ), between( W, 'inner_pasch'( U, 'inner_pasch'( X, W, T, U, Z ), X, Y
% 4.61/5.07 , Z ), Z ), between( Y, 'inner_pasch'( U, 'inner_pasch'( X, W, T, U, Z )
% 4.61/5.07 , X, Y, Z ), U ) ],
% 4.61/5.07 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, X, T ) ), ~(
% 4.61/5.07 equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ],
% 4.61/5.07 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, U, Z, W ) ), ~(
% 4.61/5.07 equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) ), ~(
% 4.61/5.07 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T, V1
% 4.61/5.07 ) ],
% 4.61/5.07 [ ~( between( X, Y, Z ) ), ~( between( T, U, W ) ), ~( equidistant( X, Y
% 4.61/5.07 , T, U ) ), ~( equidistant( X, Z, T, W ) ), equidistant( Y, Z, U, W ) ]
% 4.61/5.07 ,
% 4.61/5.07 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 4.61/5.07 equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) ), ~(
% 4.61/5.07 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T, V1
% 4.61/5.07 ) ],
% 4.61/5.07 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, T ) ), ~(
% 4.61/5.07 equidistant( Z, Y, Z, T ) ), =( Y, T ) ],
% 4.61/5.07 [ equidistant( X, Y, Z, insertion( Z, T, X, Y ) ) ],
% 4.61/5.07 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ), between( T,
% 4.61/5.07 insertion( T, U, X, Y ), U ) ],
% 4.61/5.07 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ), equidistant(
% 4.61/5.07 Y, Z, insertion( T, U, X, Y ), U ) ],
% 4.61/5.07 [ ~( between( X, Y, Z ) ), =( Y, insertion( X, Z, X, Y ) ) ],
% 4.61/5.07 [ ~( equidistant( X, Y, Z, T ) ), =( insertion( U, W, X, Y ), insertion(
% 4.61/5.07 U, W, Z, T ) ) ],
% 4.61/5.07 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 4.61/5.07 equidistant( X, U, Z, W ) ), ~( between( X, Y, U ) ), between( Z, T, W )
% 4.61/5.07 ],
% 4.61/5.07 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between(
% 4.61/5.07 X, Z, T ), between( X, T, Z ) ],
% 4.61/5.07 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between(
% 4.61/5.07 Y, Z, T ), between( Y, T, Z ) ],
% 4.61/5.07 [ ~( between( X, Y, Z ) ), ~( between( T, Y, Z ) ), =( Y, Z ), between(
% 4.61/5.07 X, T, Y ), between( T, X, Y ) ],
% 4.61/5.07 [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between( X, Y, T ),
% 4.61/5.07 between( X, T, Y ) ],
% 4.61/5.07 [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between( Y, T, Z ),
% 4.61/5.07 between( T, Y, Z ) ],
% 4.61/5.07 [ ~( between( X, Y, Z ) ), ~( between( Y, T, U ) ), ~( between( X, U, Z
% 4.61/5.07 ) ), between( X, T, Z ) ],
% 4.61/5.07 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, Z ) ), =( Y, Z ) ]
% 7.47/7.84 ,
% 7.47/7.84 [ ~( between( X, Y, Z ) ), colinear( Z, Y, X ) ],
% 7.47/7.84 [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ],
% 7.47/7.84 [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ],
% 7.47/7.84 [ colinear( a, b, c ) ],
% 7.47/7.84 [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( colinear( b, c
% 7.47/7.84 , a ) ), ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) ) ]
% 7.47/7.84 ] .
% 7.47/7.84
% 7.47/7.84
% 7.47/7.84 percentage equality = 0.176955, percentage horn = 0.784091
% 7.47/7.84 This is a problem with some equality
% 7.47/7.84
% 7.47/7.84
% 7.47/7.84
% 7.47/7.84 Options Used:
% 7.47/7.84
% 7.47/7.84 useres = 1
% 7.47/7.84 useparamod = 1
% 7.47/7.84 useeqrefl = 1
% 7.47/7.84 useeqfact = 1
% 7.47/7.84 usefactor = 1
% 7.47/7.84 usesimpsplitting = 0
% 7.47/7.84 usesimpdemod = 5
% 7.47/7.84 usesimpres = 3
% 7.47/7.84
% 7.47/7.84 resimpinuse = 1000
% 7.47/7.84 resimpclauses = 20000
% 7.47/7.84 substype = eqrewr
% 7.47/7.84 backwardsubs = 1
% 7.47/7.84 selectoldest = 5
% 7.47/7.84
% 7.47/7.84 litorderings [0] = split
% 7.47/7.84 litorderings [1] = extend the termordering, first sorting on arguments
% 7.47/7.84
% 7.47/7.84 termordering = kbo
% 7.47/7.84
% 7.47/7.84 litapriori = 0
% 7.47/7.84 termapriori = 1
% 7.47/7.84 litaposteriori = 0
% 7.47/7.84 termaposteriori = 0
% 7.47/7.84 demodaposteriori = 0
% 7.47/7.84 ordereqreflfact = 0
% 7.47/7.84
% 7.47/7.84 litselect = negord
% 7.47/7.84
% 7.47/7.84 maxweight = 15
% 7.47/7.84 maxdepth = 30000
% 7.47/7.84 maxlength = 115
% 7.47/7.84 maxnrvars = 195
% 7.47/7.84 excuselevel = 1
% 7.47/7.84 increasemaxweight = 1
% 7.47/7.84
% 7.47/7.84 maxselected = 10000000
% 7.47/7.84 maxnrclauses = 10000000
% 7.47/7.84
% 7.47/7.84 showgenerated = 0
% 7.47/7.84 showkept = 0
% 7.47/7.84 showselected = 0
% 7.47/7.84 showdeleted = 0
% 7.47/7.84 showresimp = 1
% 7.47/7.84 showstatus = 2000
% 7.47/7.84
% 7.47/7.84 prologoutput = 1
% 7.47/7.84 nrgoals = 5000000
% 7.47/7.84 totalproof = 1
% 7.47/7.84
% 7.47/7.84 Symbols occurring in the translation:
% 7.47/7.84
% 7.47/7.84 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 7.47/7.84 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 7.47/7.84 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 7.47/7.84 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 7.47/7.84 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 7.47/7.84 equidistant [41, 4] (w:1, o:61, a:1, s:1, b:0),
% 7.47/7.84 extension [46, 4] (w:1, o:62, a:1, s:1, b:0),
% 7.47/7.84 between [47, 3] (w:1, o:59, a:1, s:1, b:0),
% 7.47/7.84 'inner_pasch' [53, 5] (w:1, o:64, a:1, s:1, b:0),
% 7.47/7.84 'lower_dimension_point_1' [54, 0] (w:1, o:22, a:1, s:1, b:0),
% 7.47/7.84 'lower_dimension_point_2' [55, 0] (w:1, o:23, a:1, s:1, b:0),
% 7.47/7.84 'lower_dimension_point_3' [56, 0] (w:1, o:24, a:1, s:1, b:0),
% 7.47/7.84 euclid1 [57, 5] (w:1, o:65, a:1, s:1, b:0),
% 7.47/7.84 euclid2 [58, 5] (w:1, o:66, a:1, s:1, b:0),
% 7.47/7.84 continuous [59, 6] (w:1, o:67, a:1, s:1, b:0),
% 7.47/7.84 colinear [60, 3] (w:1, o:60, a:1, s:1, b:0),
% 7.47/7.84 reflection [61, 2] (w:1, o:58, a:1, s:1, b:0),
% 7.47/7.84 insertion [64, 4] (w:1, o:63, a:1, s:1, b:0),
% 7.47/7.84 a [65, 0] (w:1, o:25, a:1, s:1, b:0),
% 7.47/7.84 b [66, 0] (w:1, o:26, a:1, s:1, b:0),
% 7.47/7.84 c [67, 0] (w:1, o:27, a:1, s:1, b:0).
% 7.47/7.84
% 7.47/7.84
% 7.47/7.84 Starting Search:
% 7.47/7.84
% 7.47/7.84 Resimplifying inuse:
% 7.47/7.84 Done
% 7.47/7.84
% 7.47/7.84
% 7.47/7.84 Intermediate Status:
% 7.47/7.84 Generated: 9103
% 7.47/7.84 Kept: 2011
% 7.47/7.84 Inuse: 130
% 7.47/7.84 Deleted: 0
% 7.47/7.84 Deletedinuse: 0
% 7.47/7.84
% 7.47/7.84 Resimplifying inuse:
% 7.47/7.84 Done
% 7.47/7.84
% 7.47/7.84 Resimplifying inuse:
% 7.47/7.84 Done
% 7.47/7.84
% 7.47/7.84
% 7.47/7.84 Intermediate Status:
% 7.47/7.84 Generated: 19090
% 7.47/7.84 Kept: 4244
% 7.47/7.84 Inuse: 171
% 7.47/7.84 Deleted: 0
% 7.47/7.84 Deletedinuse: 0
% 7.47/7.84
% 7.47/7.84 Resimplifying inuse:
% 7.47/7.84 Done
% 7.47/7.84
% 7.47/7.84 Resimplifying inuse:
% 7.47/7.84 Done
% 7.47/7.84
% 7.47/7.84
% 7.47/7.84 Intermediate Status:
% 7.47/7.84 Generated: 29428
% 7.47/7.84 Kept: 6289
% 7.47/7.84 Inuse: 205
% 7.47/7.84 Deleted: 1
% 7.47/7.84 Deletedinuse: 0
% 7.47/7.84
% 7.47/7.84 Resimplifying inuse:
% 7.47/7.84 Done
% 7.47/7.84
% 7.47/7.84 Resimplifying inuse:
% 7.47/7.84 Done
% 7.47/7.84
% 7.47/7.84
% 7.47/7.84 Intermediate Status:
% 7.47/7.84 Generated: 43518
% 7.47/7.84 Kept: 8402
% 7.47/7.84 Inuse: 240
% 7.47/7.84 Deleted: 1
% 7.47/7.84 Deletedinuse: 0
% 7.47/7.84
% 7.47/7.84 Resimplifying inuse:
% 7.47/7.84 Done
% 7.47/7.84
% 7.47/7.84 Resimplifying inuse:
% 7.47/7.84 Done
% 7.47/7.84
% 7.47/7.84
% 7.47/7.84 Intermediate Status:
% 7.47/7.84 Generated: 55903
% 7.47/7.84 Kept: 10414
% 7.47/7.84 Inuse: 280
% 7.47/7.84 Deleted: 1
% 7.47/7.84 Deletedinuse: 0
% 7.47/7.84
% 7.47/7.84 Resimplifying inuse:
% 7.47/7.84 Done
% 7.47/7.84
% 7.47/7.84 Resimplifying inuse:
% 7.47/7.84 Done
% 7.47/7.84
% 7.47/7.84
% 7.47/7.84 Intermediate Status:
% 7.47/7.84 Generated: 74721
% 7.47/7.84 Kept: 12866
% 7.47/7.84 Inuse: 315
% 7.47/7.84 Deleted: 1
% 7.47/7.84 Deletedinuse: 0
% 7.47/7.84
% 7.47/7.84 Resimplifying inuse:
% 7.47/7.84 Done
% 7.47/7.84
% 7.47/7.84 Resimplifying inuse:
% 7.47/7.84 Done
% 7.47/7.84
% 7.47/7.84
% 7.47/7.84 Intermediate Status:
% 7.47/7.84 Generated: 93314
% 7.47/7.84 Kept: 14886
% 7.47/7.84 Inuse: 372
% 7.47/7.84 Deleted: 5
% 7.47/7.84 Deletedinuse: 0
% 7.47/7.84
% 7.47/7.84 Resimplifying inuse:
% 7.47/7.84 Done
% 7.47/7.84
% 7.47/7.84 Resimplifying inuse:
% 7.47/7.84 Done
% 7.47/7.84
% 7.47/7.84
% 7.47/7.84 Intermediate Status:
% 7.47/7.84 Generated: 111600
% 7.47/7.84 Kept: 16918
% 7.47/7.84 Inuse: 429
% 7.47/7.84 Deleted: 13
% 7.47/7.84 Deletedinuse: 0
% 7.47/7.84
% 7.47/7.84 Resimplifying inuse:
% 7.47/7.84 Done
% 7.47/7.84
% 7.47/7.84 Resimplifying inuse:
% 7.47/7.84 Done
% 7.47/7.84
% 7.47/7.84
% 7.47/7.84 Intermediate Status:
% 7.47/7.84 Generated: 122880
% 7.47/7.84 Kept: 18953
% 7.47/7.84 Inuse: 456
% 7.47/7.84 Deleted: 15
% 7.47/7.84 Deletedinuse: 0
% 7.47/7.84
% 7.47/7.84 Resimplifying inuse:
% 7.47/7.84 Done
% 7.47/7.84
% 7.47/7.84 Resimplifying inuse:
% 7.47/7.84 Done
% 7.47/7.84
% 7.47/7.84 Resimplifying clauses:
% 7.47/7.84
% 7.47/7.84 Bliksems!, er is een bewijs:
% 7.47/7.84 % SZS status Unsatisfiable
% 7.47/7.84 % SZS output start Refutation
% 7.47/7.84
% 7.47/7.84 clause( 18, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 7.47/7.84 .
% 7.47/7.84 clause( 19, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 7.47/7.84 .
% 7.47/7.84 clause( 20, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 7.47/7.84 .
% 7.47/7.84 clause( 21, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z,
% 7.47/7.84 X ), between( Z, X, Y ) ] )
% 7.47/7.84 .
% 7.47/7.84 clause( 83, [ ~( between( X, Y, Z ) ), colinear( Z, Y, X ) ] )
% 7.47/7.84 .
% 7.47/7.84 clause( 84, [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 7.47/7.84 .
% 7.47/7.84 clause( 85, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 7.47/7.84 .
% 7.47/7.84 clause( 86, [ colinear( a, b, c ) ] )
% 7.47/7.84 .
% 7.47/7.84 clause( 87, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~(
% 7.47/7.84 colinear( b, c, a ) ), ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) )
% 7.47/7.84 ] )
% 7.47/7.84 .
% 7.47/7.84 clause( 1189, [ between( a, b, c ), between( b, c, a ), between( c, a, b )
% 7.47/7.84 ] )
% 7.47/7.84 .
% 7.47/7.84 clause( 13026, [ ~( colinear( b, a, c ) ), ~( colinear( c, a, b ) ), ~(
% 7.47/7.84 colinear( c, b, a ) ), ~( between( c, a, b ) ) ] )
% 7.47/7.84 .
% 7.47/7.84 clause( 13027, [ ~( colinear( b, a, c ) ), ~( colinear( b, c, a ) ), ~(
% 7.47/7.84 colinear( c, b, a ) ), ~( between( a, b, c ) ) ] )
% 7.47/7.84 .
% 7.47/7.84 clause( 13031, [ ~( colinear( b, a, c ) ), ~( colinear( b, c, a ) ), ~(
% 7.47/7.84 colinear( c, b, a ) ), ~( between( b, c, a ) ) ] )
% 7.47/7.84 .
% 7.47/7.84 clause( 20259, [ ~( between( c, a, b ) ) ] )
% 7.47/7.84 .
% 7.47/7.84 clause( 20260, [ ~( between( a, b, c ) ) ] )
% 7.47/7.84 .
% 7.47/7.84 clause( 20262, [ ~( between( b, c, a ) ) ] )
% 7.47/7.84 .
% 7.47/7.84 clause( 20289, [] )
% 7.47/7.84 .
% 7.47/7.84
% 7.47/7.84
% 7.47/7.84 % SZS output end Refutation
% 7.47/7.84 found a proof!
% 7.47/7.84
% 7.47/7.84 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 7.47/7.84
% 7.47/7.84 initialclauses(
% 7.47/7.84 [ clause( 20291, [ equidistant( X, Y, Y, X ) ] )
% 7.47/7.84 , clause( 20292, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 7.47/7.84 , W ) ), equidistant( Z, T, U, W ) ] )
% 7.47/7.84 , clause( 20293, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 7.47/7.84 , clause( 20294, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 7.47/7.84 , clause( 20295, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 7.47/7.84 , clause( 20296, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 7.47/7.84 , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 7.47/7.84 ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 7.47/7.84 equidistant( U, V0, W, V1 ) ] )
% 7.47/7.84 , clause( 20297, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 7.47/7.84 , clause( 20298, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 7.47/7.84 between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 7.47/7.84 , clause( 20299, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 7.47/7.84 between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 7.47/7.84 , clause( 20300, [ ~( between( 'lower_dimension_point_1',
% 7.47/7.84 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 7.47/7.84 , clause( 20301, [ ~( between( 'lower_dimension_point_2',
% 7.47/7.84 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 7.47/7.84 , clause( 20302, [ ~( between( 'lower_dimension_point_3',
% 7.47/7.84 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 7.47/7.84 , clause( 20303, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 7.47/7.84 , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T,
% 7.47/7.84 U, X ), between( U, X, T ), =( Y, Z ) ] )
% 7.47/7.84 , clause( 20304, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 7.47/7.84 Y ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 7.47/7.84 , clause( 20305, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 7.47/7.84 Y ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 7.47/7.84 , clause( 20306, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 7.47/7.84 Y ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ]
% 7.47/7.84 )
% 7.47/7.84 , clause( 20307, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 7.47/7.84 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 7.47/7.84 continuous( X, Y, Z, W, T, U ), U ) ] )
% 7.47/7.84 , clause( 20308, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 7.47/7.84 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 7.47/7.84 , W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 7.47/7.84 , clause( 20309, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 7.47/7.84 , clause( 20310, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 7.47/7.84 , clause( 20311, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 7.47/7.84 , clause( 20312, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 7.47/7.84 , Z, X ), between( Z, X, Y ) ] )
% 7.47/7.84 , clause( 20313, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 7.47/7.84 , clause( 20314, [ =( insertion( X, Y, Z, T ), extension( extension( Y, X,
% 7.47/7.84 'lower_dimension_point_1', 'lower_dimension_point_2' ), X, Z, T ) ) ] )
% 7.47/7.84 , clause( 20315, [ equidistant( X, Y, X, Y ) ] )
% 7.47/7.84 , clause( 20316, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y
% 7.47/7.84 ) ] )
% 7.47/7.84 , clause( 20317, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T
% 7.47/7.84 ) ] )
% 7.47/7.84 , clause( 20318, [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z
% 7.47/7.84 ) ] )
% 7.47/7.84 , clause( 20319, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z
% 7.47/7.84 ) ] )
% 7.47/7.84 , clause( 20320, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X
% 7.47/7.84 ) ] )
% 7.47/7.84 , clause( 20321, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y
% 7.47/7.84 ) ] )
% 7.47/7.84 , clause( 20322, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X
% 7.47/7.84 ) ] )
% 7.47/7.84 , clause( 20323, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U
% 7.47/7.84 , W ) ), equidistant( X, Y, U, W ) ] )
% 7.47/7.84 , clause( 20324, [ =( X, extension( Y, X, Z, Z ) ) ] )
% 7.47/7.84 , clause( 20325, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X )
% 7.47/7.84 ] )
% 7.47/7.84 , clause( 20326, [ between( X, Y, reflection( X, Y ) ) ] )
% 7.47/7.84 , clause( 20327, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 7.47/7.84 , clause( 20328, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 7.47/7.84 , clause( 20329, [ =( X, reflection( X, X ) ) ] )
% 7.47/7.84 , clause( 20330, [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ] )
% 7.47/7.84 , clause( 20331, [ equidistant( X, X, Y, Y ) ] )
% 7.47/7.84 , clause( 20332, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 7.47/7.84 , W ) ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X
% 7.47/7.84 , U, Z, W ) ] )
% 7.47/7.84 , clause( 20333, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~(
% 7.47/7.84 equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 7.47/7.84 , clause( 20334, [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X,
% 7.47/7.84 Y, Y, Z ) ) ] )
% 7.47/7.84 , clause( 20335, [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y
% 7.47/7.84 ), extension( U, W, Z, T ) ), =( U, W ) ] )
% 7.47/7.84 , clause( 20336, [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ),
% 7.47/7.84 =( X, Y ) ] )
% 7.47/7.84 , clause( 20337, [ equidistant( X, Y, X, reflection( reflection( Y, X ), X
% 7.47/7.84 ) ) ] )
% 7.47/7.84 , clause( 20338, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 7.47/7.84 , clause( 20339, [ between( X, Y, Y ) ] )
% 7.47/7.84 , clause( 20340, [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y,
% 7.47/7.84 Z ) ] )
% 7.47/7.84 , clause( 20341, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 7.47/7.84 , clause( 20342, [ between( X, X, Y ) ] )
% 7.47/7.84 , clause( 20343, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X,
% 7.47/7.84 Y ) ] )
% 7.47/7.84 , clause( 20344, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y,
% 7.47/7.84 Z ) ] )
% 7.47/7.84 , clause( 20345, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X,
% 7.47/7.84 Y ), =( Y, Z ) ] )
% 7.47/7.84 , clause( 20346, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X,
% 7.47/7.84 Y ), =( Y, Z ) ] )
% 7.47/7.84 , clause( 20347, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ),
% 7.47/7.84 between( X, Y, Z ) ] )
% 7.47/7.84 , clause( 20348, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ),
% 7.47/7.84 between( Y, Z, T ) ] )
% 7.47/7.84 , clause( 20349, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ),
% 7.47/7.84 between( X, Z, T ), =( Y, Z ) ] )
% 7.47/7.84 , clause( 20350, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ),
% 7.47/7.84 between( X, Y, T ), =( Y, Z ) ] )
% 7.47/7.84 , clause( 20351, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ),
% 7.47/7.84 between( X, T, Z ) ] )
% 7.47/7.84 , clause( 20352, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ),
% 7.47/7.84 between( X, Y, T ) ] )
% 7.47/7.84 , clause( 20353, [ ~( =( 'lower_dimension_point_1',
% 7.47/7.84 'lower_dimension_point_2' ) ) ] )
% 7.47/7.84 , clause( 20354, [ ~( =( 'lower_dimension_point_2',
% 7.47/7.84 'lower_dimension_point_3' ) ) ] )
% 7.47/7.84 , clause( 20355, [ ~( =( 'lower_dimension_point_1',
% 7.47/7.84 'lower_dimension_point_3' ) ) ] )
% 7.47/7.84 , clause( 20356, [ ~( =( X, extension( Y, X, 'lower_dimension_point_1',
% 7.47/7.84 'lower_dimension_point_2' ) ) ) ] )
% 7.47/7.84 , clause( 20357, [ equidistant( X, extension( Y, X,
% 7.47/7.84 'lower_dimension_point_1', 'lower_dimension_point_2' ), Z, extension( T,
% 7.47/7.84 Z, 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 7.47/7.84 , clause( 20358, [ between( X, Y, extension( X, Y,
% 7.47/7.84 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 7.47/7.84 , clause( 20359, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), ~(
% 7.47/7.84 between( X, W, T ) ), between( W, 'inner_pasch'( U, 'inner_pasch'( X, W,
% 7.47/7.84 T, U, Z ), X, Y, Z ), Z ), between( Y, 'inner_pasch'( U, 'inner_pasch'( X
% 7.47/7.84 , W, T, U, Z ), X, Y, Z ), U ) ] )
% 7.47/7.84 , clause( 20360, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, X, T ) )
% 7.47/7.84 , ~( equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 7.47/7.84 , clause( 20361, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, U, Z
% 7.47/7.84 , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 )
% 7.47/7.84 ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0
% 7.47/7.84 , T, V1 ) ] )
% 7.47/7.84 , clause( 20362, [ ~( between( X, Y, Z ) ), ~( between( T, U, W ) ), ~(
% 7.47/7.84 equidistant( X, Y, T, U ) ), ~( equidistant( X, Z, T, W ) ), equidistant(
% 7.47/7.84 Y, Z, U, W ) ] )
% 7.47/7.84 , clause( 20363, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 7.47/7.84 , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 )
% 7.47/7.84 ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0
% 7.47/7.84 , T, V1 ) ] )
% 7.47/7.84 , clause( 20364, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, T ) )
% 7.47/7.84 , ~( equidistant( Z, Y, Z, T ) ), =( Y, T ) ] )
% 7.47/7.84 , clause( 20365, [ equidistant( X, Y, Z, insertion( Z, T, X, Y ) ) ] )
% 7.47/7.84 , clause( 20366, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) )
% 7.47/7.84 , between( T, insertion( T, U, X, Y ), U ) ] )
% 7.47/7.84 , clause( 20367, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) )
% 7.47/7.84 , equidistant( Y, Z, insertion( T, U, X, Y ), U ) ] )
% 7.47/7.84 , clause( 20368, [ ~( between( X, Y, Z ) ), =( Y, insertion( X, Z, X, Y ) )
% 7.47/7.84 ] )
% 7.47/7.84 , clause( 20369, [ ~( equidistant( X, Y, Z, T ) ), =( insertion( U, W, X, Y
% 7.47/7.84 ), insertion( U, W, Z, T ) ) ] )
% 7.47/7.84 , clause( 20370, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 7.47/7.84 , W ) ), ~( equidistant( X, U, Z, W ) ), ~( between( X, Y, U ) ), between(
% 7.47/7.84 Z, T, W ) ] )
% 7.47/7.84 , clause( 20371, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X,
% 7.47/7.84 Y ), between( X, Z, T ), between( X, T, Z ) ] )
% 7.47/7.84 , clause( 20372, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X,
% 7.47/7.84 Y ), between( Y, Z, T ), between( Y, T, Z ) ] )
% 7.47/7.84 , clause( 20373, [ ~( between( X, Y, Z ) ), ~( between( T, Y, Z ) ), =( Y,
% 7.47/7.84 Z ), between( X, T, Y ), between( T, X, Y ) ] )
% 7.47/7.84 , clause( 20374, [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ),
% 7.47/7.84 between( X, Y, T ), between( X, T, Y ) ] )
% 7.47/7.84 , clause( 20375, [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ),
% 7.47/7.84 between( Y, T, Z ), between( T, Y, Z ) ] )
% 7.47/7.84 , clause( 20376, [ ~( between( X, Y, Z ) ), ~( between( Y, T, U ) ), ~(
% 7.47/7.84 between( X, U, Z ) ), between( X, T, Z ) ] )
% 7.47/7.84 , clause( 20377, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, Z ) )
% 7.47/7.84 , =( Y, Z ) ] )
% 7.47/7.84 , clause( 20378, [ ~( between( X, Y, Z ) ), colinear( Z, Y, X ) ] )
% 7.47/7.84 , clause( 20379, [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 7.47/7.84 , clause( 20380, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 7.47/7.84 , clause( 20381, [ colinear( a, b, c ) ] )
% 7.47/7.84 , clause( 20382, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~(
% 7.47/7.84 colinear( b, c, a ) ), ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) )
% 7.47/7.84 ] )
% 7.47/7.84 ] ).
% 7.47/7.84
% 7.47/7.84
% 7.47/7.84
% 7.47/7.84 subsumption(
% 7.47/7.84 clause( 18, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 7.47/7.84 , clause( 20309, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 7.47/7.84 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 7.47/7.84 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 7.47/7.84
% 7.47/7.84
% 7.47/7.84 subsumption(
% 7.47/7.84 clause( 19, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 7.47/7.84 , clause( 20310, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 7.47/7.84 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 7.47/7.84 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 7.47/7.84
% 7.47/7.84
% 7.47/7.84 subsumption(
% 7.47/7.84 clause( 20, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 7.47/7.84 , clause( 20311, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 7.47/7.84 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 7.47/7.84 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 7.47/7.84
% 7.47/7.84
% 7.47/7.84 subsumption(
% 7.47/7.84 clause( 21, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z,
% 7.47/7.84 X ), between( Z, X, Y ) ] )
% 7.47/7.85 , clause( 20312, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 7.47/7.85 , Z, X ), between( Z, X, Y ) ] )
% 7.47/7.85 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 7.47/7.85 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 7.47/7.85 ).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 subsumption(
% 7.47/7.85 clause( 83, [ ~( between( X, Y, Z ) ), colinear( Z, Y, X ) ] )
% 7.47/7.85 , clause( 20378, [ ~( between( X, Y, Z ) ), colinear( Z, Y, X ) ] )
% 7.47/7.85 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 7.47/7.85 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 subsumption(
% 7.47/7.85 clause( 84, [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 7.47/7.85 , clause( 20379, [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 7.47/7.85 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 7.47/7.85 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 subsumption(
% 7.47/7.85 clause( 85, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 7.47/7.85 , clause( 20380, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 7.47/7.85 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 7.47/7.85 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 subsumption(
% 7.47/7.85 clause( 86, [ colinear( a, b, c ) ] )
% 7.47/7.85 , clause( 20381, [ colinear( a, b, c ) ] )
% 7.47/7.85 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 subsumption(
% 7.47/7.85 clause( 87, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~(
% 7.47/7.85 colinear( b, c, a ) ), ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) )
% 7.47/7.85 ] )
% 7.47/7.85 , clause( 20382, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~(
% 7.47/7.85 colinear( b, c, a ) ), ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) )
% 7.47/7.85 ] )
% 7.47/7.85 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 7.47/7.85 , 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 resolution(
% 7.47/7.85 clause( 21697, [ between( a, b, c ), between( b, c, a ), between( c, a, b )
% 7.47/7.85 ] )
% 7.47/7.85 , clause( 21, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z
% 7.47/7.85 , X ), between( Z, X, Y ) ] )
% 7.47/7.85 , 0, clause( 86, [ colinear( a, b, c ) ] )
% 7.47/7.85 , 0, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, c )] ),
% 7.47/7.85 substitution( 1, [] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 subsumption(
% 7.47/7.85 clause( 1189, [ between( a, b, c ), between( b, c, a ), between( c, a, b )
% 7.47/7.85 ] )
% 7.47/7.85 , clause( 21697, [ between( a, b, c ), between( b, c, a ), between( c, a, b
% 7.47/7.85 ) ] )
% 7.47/7.85 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 7.47/7.85 , 2 )] ) ).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 resolution(
% 7.47/7.85 clause( 21700, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~(
% 7.47/7.85 colinear( c, a, b ) ), ~( colinear( c, b, a ) ), ~( between( c, a, b ) )
% 7.47/7.85 ] )
% 7.47/7.85 , clause( 87, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~(
% 7.47/7.85 colinear( b, c, a ) ), ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) )
% 7.47/7.85 ] )
% 7.47/7.85 , 2, clause( 19, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 7.47/7.85 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y, a ), :=(
% 7.47/7.85 Z, b )] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 resolution(
% 7.47/7.85 clause( 21713, [ ~( colinear( b, a, c ) ), ~( colinear( c, a, b ) ), ~(
% 7.47/7.85 colinear( c, b, a ) ), ~( between( c, a, b ) ), ~( between( c, a, b ) ) ]
% 7.47/7.85 )
% 7.47/7.85 , clause( 21700, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~(
% 7.47/7.85 colinear( c, a, b ) ), ~( colinear( c, b, a ) ), ~( between( c, a, b ) )
% 7.47/7.85 ] )
% 7.47/7.85 , 0, clause( 85, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 7.47/7.85 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y, a ), :=(
% 7.47/7.85 Z, b )] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 factor(
% 7.47/7.85 clause( 21717, [ ~( colinear( b, a, c ) ), ~( colinear( c, a, b ) ), ~(
% 7.47/7.85 colinear( c, b, a ) ), ~( between( c, a, b ) ) ] )
% 7.47/7.85 , clause( 21713, [ ~( colinear( b, a, c ) ), ~( colinear( c, a, b ) ), ~(
% 7.47/7.85 colinear( c, b, a ) ), ~( between( c, a, b ) ), ~( between( c, a, b ) ) ]
% 7.47/7.85 )
% 7.47/7.85 , 3, 4, substitution( 0, [] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 subsumption(
% 7.47/7.85 clause( 13026, [ ~( colinear( b, a, c ) ), ~( colinear( c, a, b ) ), ~(
% 7.47/7.85 colinear( c, b, a ) ), ~( between( c, a, b ) ) ] )
% 7.47/7.85 , clause( 21717, [ ~( colinear( b, a, c ) ), ~( colinear( c, a, b ) ), ~(
% 7.47/7.85 colinear( c, b, a ) ), ~( between( c, a, b ) ) ] )
% 7.47/7.85 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 7.47/7.85 , 2 ), ==>( 3, 3 )] ) ).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 resolution(
% 7.47/7.85 clause( 21721, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~(
% 7.47/7.85 colinear( b, c, a ) ), ~( colinear( c, b, a ) ), ~( between( a, b, c ) )
% 7.47/7.85 ] )
% 7.47/7.85 , clause( 87, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~(
% 7.47/7.85 colinear( b, c, a ) ), ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) )
% 7.47/7.85 ] )
% 7.47/7.85 , 3, clause( 19, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 7.47/7.85 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=(
% 7.47/7.85 Z, c )] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 resolution(
% 7.47/7.85 clause( 21737, [ ~( colinear( b, a, c ) ), ~( colinear( b, c, a ) ), ~(
% 7.47/7.85 colinear( c, b, a ) ), ~( between( a, b, c ) ), ~( between( a, b, c ) ) ]
% 7.47/7.85 )
% 7.47/7.85 , clause( 21721, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~(
% 7.47/7.85 colinear( b, c, a ) ), ~( colinear( c, b, a ) ), ~( between( a, b, c ) )
% 7.47/7.85 ] )
% 7.47/7.85 , 0, clause( 84, [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 7.47/7.85 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=(
% 7.47/7.85 Z, c )] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 factor(
% 7.47/7.85 clause( 21741, [ ~( colinear( b, a, c ) ), ~( colinear( b, c, a ) ), ~(
% 7.47/7.85 colinear( c, b, a ) ), ~( between( a, b, c ) ) ] )
% 7.47/7.85 , clause( 21737, [ ~( colinear( b, a, c ) ), ~( colinear( b, c, a ) ), ~(
% 7.47/7.85 colinear( c, b, a ) ), ~( between( a, b, c ) ), ~( between( a, b, c ) ) ]
% 7.47/7.85 )
% 7.47/7.85 , 3, 4, substitution( 0, [] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 subsumption(
% 7.47/7.85 clause( 13027, [ ~( colinear( b, a, c ) ), ~( colinear( b, c, a ) ), ~(
% 7.47/7.85 colinear( c, b, a ) ), ~( between( a, b, c ) ) ] )
% 7.47/7.85 , clause( 21741, [ ~( colinear( b, a, c ) ), ~( colinear( b, c, a ) ), ~(
% 7.47/7.85 colinear( c, b, a ) ), ~( between( a, b, c ) ) ] )
% 7.47/7.85 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 7.47/7.85 , 2 ), ==>( 3, 3 )] ) ).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 resolution(
% 7.47/7.85 clause( 21745, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~(
% 7.47/7.85 colinear( b, c, a ) ), ~( colinear( c, b, a ) ), ~( between( b, c, a ) )
% 7.47/7.85 ] )
% 7.47/7.85 , clause( 87, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~(
% 7.47/7.85 colinear( b, c, a ) ), ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) )
% 7.47/7.85 ] )
% 7.47/7.85 , 3, clause( 20, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 7.47/7.85 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, c ), :=(
% 7.47/7.85 Z, a )] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 resolution(
% 7.47/7.85 clause( 21761, [ ~( colinear( b, a, c ) ), ~( colinear( b, c, a ) ), ~(
% 7.47/7.85 colinear( c, b, a ) ), ~( between( b, c, a ) ), ~( between( b, c, a ) ) ]
% 7.47/7.85 )
% 7.47/7.85 , clause( 21745, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~(
% 7.47/7.85 colinear( b, c, a ) ), ~( colinear( c, b, a ) ), ~( between( b, c, a ) )
% 7.47/7.85 ] )
% 7.47/7.85 , 0, clause( 83, [ ~( between( X, Y, Z ) ), colinear( Z, Y, X ) ] )
% 7.47/7.85 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, c ), :=(
% 7.47/7.85 Z, a )] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 factor(
% 7.47/7.85 clause( 21765, [ ~( colinear( b, a, c ) ), ~( colinear( b, c, a ) ), ~(
% 7.47/7.85 colinear( c, b, a ) ), ~( between( b, c, a ) ) ] )
% 7.47/7.85 , clause( 21761, [ ~( colinear( b, a, c ) ), ~( colinear( b, c, a ) ), ~(
% 7.47/7.85 colinear( c, b, a ) ), ~( between( b, c, a ) ), ~( between( b, c, a ) ) ]
% 7.47/7.85 )
% 7.47/7.85 , 3, 4, substitution( 0, [] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 subsumption(
% 7.47/7.85 clause( 13031, [ ~( colinear( b, a, c ) ), ~( colinear( b, c, a ) ), ~(
% 7.47/7.85 colinear( c, b, a ) ), ~( between( b, c, a ) ) ] )
% 7.47/7.85 , clause( 21765, [ ~( colinear( b, a, c ) ), ~( colinear( b, c, a ) ), ~(
% 7.47/7.85 colinear( c, b, a ) ), ~( between( b, c, a ) ) ] )
% 7.47/7.85 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 7.47/7.85 , 2 ), ==>( 3, 3 )] ) ).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 resolution(
% 7.47/7.85 clause( 21766, [ ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) ), ~(
% 7.47/7.85 between( c, a, b ) ), ~( between( c, a, b ) ) ] )
% 7.47/7.85 , clause( 13026, [ ~( colinear( b, a, c ) ), ~( colinear( c, a, b ) ), ~(
% 7.47/7.85 colinear( c, b, a ) ), ~( between( c, a, b ) ) ] )
% 7.47/7.85 , 0, clause( 83, [ ~( between( X, Y, Z ) ), colinear( Z, Y, X ) ] )
% 7.47/7.85 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y, a ), :=(
% 7.47/7.85 Z, b )] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 factor(
% 7.47/7.85 clause( 21769, [ ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) ), ~(
% 7.47/7.85 between( c, a, b ) ) ] )
% 7.47/7.85 , clause( 21766, [ ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) ), ~(
% 7.47/7.85 between( c, a, b ) ), ~( between( c, a, b ) ) ] )
% 7.47/7.85 , 2, 3, substitution( 0, [] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 resolution(
% 7.47/7.85 clause( 21770, [ ~( colinear( c, b, a ) ), ~( between( c, a, b ) ), ~(
% 7.47/7.85 between( c, a, b ) ) ] )
% 7.47/7.85 , clause( 21769, [ ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) ), ~(
% 7.47/7.85 between( c, a, b ) ) ] )
% 7.47/7.85 , 0, clause( 18, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 7.47/7.85 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y, a ), :=(
% 7.47/7.85 Z, b )] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 factor(
% 7.47/7.85 clause( 21772, [ ~( colinear( c, b, a ) ), ~( between( c, a, b ) ) ] )
% 7.47/7.85 , clause( 21770, [ ~( colinear( c, b, a ) ), ~( between( c, a, b ) ), ~(
% 7.47/7.85 between( c, a, b ) ) ] )
% 7.47/7.85 , 1, 2, substitution( 0, [] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 resolution(
% 7.47/7.85 clause( 21773, [ ~( between( c, a, b ) ), ~( between( c, a, b ) ) ] )
% 7.47/7.85 , clause( 21772, [ ~( colinear( c, b, a ) ), ~( between( c, a, b ) ) ] )
% 7.47/7.85 , 0, clause( 84, [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 7.47/7.85 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, c ), :=( Y, a ), :=(
% 7.47/7.85 Z, b )] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 factor(
% 7.47/7.85 clause( 21774, [ ~( between( c, a, b ) ) ] )
% 7.47/7.85 , clause( 21773, [ ~( between( c, a, b ) ), ~( between( c, a, b ) ) ] )
% 7.47/7.85 , 0, 1, substitution( 0, [] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 subsumption(
% 7.47/7.85 clause( 20259, [ ~( between( c, a, b ) ) ] )
% 7.47/7.85 , clause( 21774, [ ~( between( c, a, b ) ) ] )
% 7.47/7.85 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 resolution(
% 7.47/7.85 clause( 21775, [ ~( colinear( b, c, a ) ), ~( colinear( c, b, a ) ), ~(
% 7.47/7.85 between( a, b, c ) ), ~( between( a, b, c ) ) ] )
% 7.47/7.85 , clause( 13027, [ ~( colinear( b, a, c ) ), ~( colinear( b, c, a ) ), ~(
% 7.47/7.85 colinear( c, b, a ) ), ~( between( a, b, c ) ) ] )
% 7.47/7.85 , 0, clause( 85, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 7.47/7.85 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=(
% 7.47/7.85 Z, c )] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 factor(
% 7.47/7.85 clause( 21778, [ ~( colinear( b, c, a ) ), ~( colinear( c, b, a ) ), ~(
% 7.47/7.85 between( a, b, c ) ) ] )
% 7.47/7.85 , clause( 21775, [ ~( colinear( b, c, a ) ), ~( colinear( c, b, a ) ), ~(
% 7.47/7.85 between( a, b, c ) ), ~( between( a, b, c ) ) ] )
% 7.47/7.85 , 2, 3, substitution( 0, [] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 resolution(
% 7.47/7.85 clause( 21779, [ ~( colinear( c, b, a ) ), ~( between( a, b, c ) ), ~(
% 7.47/7.85 between( a, b, c ) ) ] )
% 7.47/7.85 , clause( 21778, [ ~( colinear( b, c, a ) ), ~( colinear( c, b, a ) ), ~(
% 7.47/7.85 between( a, b, c ) ) ] )
% 7.47/7.85 , 0, clause( 20, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 7.47/7.85 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=(
% 7.47/7.85 Z, c )] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 factor(
% 7.47/7.85 clause( 21781, [ ~( colinear( c, b, a ) ), ~( between( a, b, c ) ) ] )
% 7.47/7.85 , clause( 21779, [ ~( colinear( c, b, a ) ), ~( between( a, b, c ) ), ~(
% 7.47/7.85 between( a, b, c ) ) ] )
% 7.47/7.85 , 1, 2, substitution( 0, [] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 resolution(
% 7.47/7.85 clause( 21782, [ ~( between( a, b, c ) ), ~( between( a, b, c ) ) ] )
% 7.47/7.85 , clause( 21781, [ ~( colinear( c, b, a ) ), ~( between( a, b, c ) ) ] )
% 7.47/7.85 , 0, clause( 83, [ ~( between( X, Y, Z ) ), colinear( Z, Y, X ) ] )
% 7.47/7.85 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=(
% 7.47/7.85 Z, c )] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 factor(
% 7.47/7.85 clause( 21783, [ ~( between( a, b, c ) ) ] )
% 7.47/7.85 , clause( 21782, [ ~( between( a, b, c ) ), ~( between( a, b, c ) ) ] )
% 7.47/7.85 , 0, 1, substitution( 0, [] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 subsumption(
% 7.47/7.85 clause( 20260, [ ~( between( a, b, c ) ) ] )
% 7.47/7.85 , clause( 21783, [ ~( between( a, b, c ) ) ] )
% 7.47/7.85 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 resolution(
% 7.47/7.85 clause( 21784, [ ~( colinear( b, c, a ) ), ~( colinear( c, b, a ) ), ~(
% 7.47/7.85 between( b, c, a ) ), ~( between( b, c, a ) ) ] )
% 7.47/7.85 , clause( 13031, [ ~( colinear( b, a, c ) ), ~( colinear( b, c, a ) ), ~(
% 7.47/7.85 colinear( c, b, a ) ), ~( between( b, c, a ) ) ] )
% 7.47/7.85 , 0, clause( 84, [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 7.47/7.85 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, c ), :=(
% 7.47/7.85 Z, a )] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 factor(
% 7.47/7.85 clause( 21787, [ ~( colinear( b, c, a ) ), ~( colinear( c, b, a ) ), ~(
% 7.47/7.85 between( b, c, a ) ) ] )
% 7.47/7.85 , clause( 21784, [ ~( colinear( b, c, a ) ), ~( colinear( c, b, a ) ), ~(
% 7.47/7.85 between( b, c, a ) ), ~( between( b, c, a ) ) ] )
% 7.47/7.85 , 2, 3, substitution( 0, [] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 resolution(
% 7.47/7.85 clause( 21788, [ ~( colinear( c, b, a ) ), ~( between( b, c, a ) ), ~(
% 7.47/7.85 between( b, c, a ) ) ] )
% 7.47/7.85 , clause( 21787, [ ~( colinear( b, c, a ) ), ~( colinear( c, b, a ) ), ~(
% 7.47/7.85 between( b, c, a ) ) ] )
% 7.47/7.85 , 0, clause( 18, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 7.47/7.85 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, c ), :=(
% 7.47/7.85 Z, a )] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 factor(
% 7.47/7.85 clause( 21790, [ ~( colinear( c, b, a ) ), ~( between( b, c, a ) ) ] )
% 7.47/7.85 , clause( 21788, [ ~( colinear( c, b, a ) ), ~( between( b, c, a ) ), ~(
% 7.47/7.85 between( b, c, a ) ) ] )
% 7.47/7.85 , 1, 2, substitution( 0, [] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 resolution(
% 7.47/7.85 clause( 21791, [ ~( between( b, c, a ) ), ~( between( b, c, a ) ) ] )
% 7.47/7.85 , clause( 21790, [ ~( colinear( c, b, a ) ), ~( between( b, c, a ) ) ] )
% 7.47/7.85 , 0, clause( 85, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 7.47/7.85 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, c ), :=(
% 7.47/7.85 Z, a )] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 factor(
% 7.47/7.85 clause( 21792, [ ~( between( b, c, a ) ) ] )
% 7.47/7.85 , clause( 21791, [ ~( between( b, c, a ) ), ~( between( b, c, a ) ) ] )
% 7.47/7.85 , 0, 1, substitution( 0, [] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 subsumption(
% 7.47/7.85 clause( 20262, [ ~( between( b, c, a ) ) ] )
% 7.47/7.85 , clause( 21792, [ ~( between( b, c, a ) ) ] )
% 7.47/7.85 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 resolution(
% 7.47/7.85 clause( 21793, [ between( b, c, a ), between( c, a, b ) ] )
% 7.47/7.85 , clause( 20260, [ ~( between( a, b, c ) ) ] )
% 7.47/7.85 , 0, clause( 1189, [ between( a, b, c ), between( b, c, a ), between( c, a
% 7.47/7.85 , b ) ] )
% 7.47/7.85 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 resolution(
% 7.47/7.85 clause( 21794, [ between( c, a, b ) ] )
% 7.47/7.85 , clause( 20262, [ ~( between( b, c, a ) ) ] )
% 7.47/7.85 , 0, clause( 21793, [ between( b, c, a ), between( c, a, b ) ] )
% 7.47/7.85 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 resolution(
% 7.47/7.85 clause( 21795, [] )
% 7.47/7.85 , clause( 20259, [ ~( between( c, a, b ) ) ] )
% 7.47/7.85 , 0, clause( 21794, [ between( c, a, b ) ] )
% 7.47/7.85 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 subsumption(
% 7.47/7.85 clause( 20289, [] )
% 7.47/7.85 , clause( 21795, [] )
% 7.47/7.85 , substitution( 0, [] ), permutation( 0, [] ) ).
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 end.
% 7.47/7.85
% 7.47/7.85 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 7.47/7.85
% 7.47/7.85 Memory use:
% 7.47/7.85
% 7.47/7.85 space for terms: 402855
% 7.47/7.85 space for clauses: 855732
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 clauses generated: 133204
% 7.47/7.85 clauses kept: 20290
% 7.47/7.85 clauses selected: 481
% 7.47/7.85 clauses deleted: 298
% 7.47/7.85 clauses inuse deleted: 4
% 7.47/7.85
% 7.47/7.85 subsentry: 4925597
% 7.47/7.85 literals s-matched: 3446228
% 7.47/7.85 literals matched: 3287771
% 7.47/7.85 full subsumption: 3160894
% 7.47/7.85
% 7.47/7.85 checksum: -536147802
% 7.47/7.85
% 7.47/7.85
% 7.47/7.85 Bliksem ended
%------------------------------------------------------------------------------