TSTP Solution File: GEO012-3 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO012-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 02:50:51 EDT 2022
% Result : Unsatisfiable 232.54s 232.92s
% Output : Refutation 232.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO012-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jun 18 15:20:57 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.43/1.10 *** allocated 10000 integers for termspace/termends
% 0.43/1.10 *** allocated 10000 integers for clauses
% 0.43/1.10 *** allocated 10000 integers for justifications
% 0.43/1.10 Bliksem 1.12
% 0.43/1.10
% 0.43/1.10
% 0.43/1.10 Automatic Strategy Selection
% 0.43/1.10
% 0.43/1.10 Clauses:
% 0.43/1.10 [
% 0.43/1.10 [ equidistant( X, Y, Y, X ) ],
% 0.43/1.10 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 0.43/1.10 equidistant( Z, T, U, W ) ],
% 0.43/1.10 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.43/1.10 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.43/1.10 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.43/1.10 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.43/1.10 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 0.43/1.10 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.43/1.10 , V0, W, V1 ) ],
% 0.43/1.10 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.43/1.10 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 0.43/1.10 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.43/1.10 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 0.43/1.10 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.43/1.10 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.43/1.10 'lower_dimension_point_3' ) ) ],
% 0.43/1.10 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.43/1.10 'lower_dimension_point_1' ) ) ],
% 0.43/1.10 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.43/1.10 'lower_dimension_point_2' ) ) ],
% 0.43/1.10 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 0.43/1.10 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 0.43/1.10 between( U, X, T ), =( Y, Z ) ],
% 0.43/1.10 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.43/1.10 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.43/1.10 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.43/1.10 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.43/1.10 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.43/1.10 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.43/1.10 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.43/1.10 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.43/1.10 , Y, Z, W, T, U ), U ) ],
% 0.43/1.10 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.43/1.10 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 0.43/1.10 continuous( X, Y, Z, W, T, U ) ) ],
% 0.43/1.10 [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ],
% 0.43/1.10 [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ],
% 0.43/1.10 [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ],
% 0.43/1.10 [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z, X ),
% 0.43/1.10 between( Z, X, Y ) ],
% 0.43/1.10 [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ],
% 0.43/1.10 [ =( insertion( X, Y, Z, T ), extension( extension( Y, X,
% 0.43/1.10 'lower_dimension_point_1', 'lower_dimension_point_2' ), X, Z, T ) ) ]
% 0.43/1.10 ,
% 0.43/1.10 [ equidistant( X, Y, X, Y ) ],
% 0.43/1.10 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ],
% 0.43/1.10 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ],
% 0.43/1.10 [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z ) ],
% 0.43/1.10 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z ) ],
% 0.43/1.10 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X ) ],
% 0.43/1.10 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y ) ],
% 0.43/1.10 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X ) ],
% 0.43/1.10 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U, W ) ),
% 0.43/1.10 equidistant( X, Y, U, W ) ],
% 0.43/1.10 [ =( X, extension( Y, X, Z, Z ) ) ],
% 0.43/1.10 [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ],
% 0.43/1.10 [ between( X, Y, reflection( X, Y ) ) ],
% 0.43/1.10 [ equidistant( X, reflection( Y, X ), Y, X ) ],
% 0.43/1.10 [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ],
% 0.43/1.10 [ =( X, reflection( X, X ) ) ],
% 0.43/1.10 [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ],
% 0.43/1.10 [ equidistant( X, X, Y, Y ) ],
% 0.43/1.10 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.43/1.10 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X, U, Z, W )
% 0.43/1.10 ],
% 0.43/1.10 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~( equidistant( Y, Z
% 0.43/1.10 , Y, T ) ), =( X, Y ), =( Z, T ) ],
% 0.43/1.10 [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, Y, Y, Z ) ) ]
% 0.43/1.10 ,
% 0.43/1.10 [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y ), extension(
% 0.43/1.10 U, W, Z, T ) ), =( U, W ) ],
% 0.43/1.10 [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ), =( X, Y ) ]
% 2.13/2.51 ,
% 2.13/2.51 [ equidistant( X, Y, X, reflection( reflection( Y, X ), X ) ) ],
% 2.13/2.51 [ =( X, reflection( reflection( X, Y ), Y ) ) ],
% 2.13/2.51 [ between( X, Y, Y ) ],
% 2.13/2.51 [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z ) ],
% 2.13/2.51 [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ],
% 2.13/2.51 [ between( X, X, Y ) ],
% 2.13/2.51 [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ) ],
% 2.13/2.51 [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, Z ) ],
% 2.13/2.51 [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ), =( Y, Z )
% 2.13/2.51 ],
% 2.13/2.51 [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X, Y ), =( Y, Z )
% 2.13/2.51 ],
% 2.13/2.51 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, Z ) ]
% 2.13/2.51 ,
% 2.13/2.51 [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( Y, Z, T ) ]
% 2.13/2.51 ,
% 2.13/2.51 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Z, T ),
% 2.13/2.51 =( Y, Z ) ],
% 2.13/2.51 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, T ),
% 2.13/2.51 =( Y, Z ) ],
% 2.13/2.51 [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X, T, Z ) ]
% 2.13/2.51 ,
% 2.13/2.51 [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( X, Y, T ) ]
% 2.13/2.51 ,
% 2.13/2.51 [ ~( =( 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ],
% 2.13/2.51 [ ~( =( 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ],
% 2.13/2.51 [ ~( =( 'lower_dimension_point_1', 'lower_dimension_point_3' ) ) ],
% 2.13/2.51 [ ~( =( X, extension( Y, X, 'lower_dimension_point_1',
% 2.13/2.51 'lower_dimension_point_2' ) ) ) ],
% 2.13/2.51 [ equidistant( X, extension( Y, X, 'lower_dimension_point_1',
% 2.13/2.51 'lower_dimension_point_2' ), Z, extension( T, Z,
% 2.13/2.51 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ],
% 2.13/2.51 [ between( X, Y, extension( X, Y, 'lower_dimension_point_1',
% 2.13/2.51 'lower_dimension_point_2' ) ) ],
% 2.13/2.51 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), ~( between( X, W, T
% 2.13/2.51 ) ), between( W, 'inner_pasch'( U, 'inner_pasch'( X, W, T, U, Z ), X, Y
% 2.13/2.51 , Z ), Z ), between( Y, 'inner_pasch'( U, 'inner_pasch'( X, W, T, U, Z )
% 2.13/2.51 , X, Y, Z ), U ) ],
% 2.13/2.51 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, X, T ) ), ~(
% 2.13/2.51 equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ],
% 2.13/2.51 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, U, Z, W ) ), ~(
% 2.13/2.51 equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) ), ~(
% 2.13/2.51 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T, V1
% 2.13/2.51 ) ],
% 2.13/2.51 [ ~( between( X, Y, Z ) ), ~( between( T, U, W ) ), ~( equidistant( X, Y
% 2.13/2.51 , T, U ) ), ~( equidistant( X, Z, T, W ) ), equidistant( Y, Z, U, W ) ]
% 2.13/2.51 ,
% 2.13/2.51 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 2.13/2.51 equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) ), ~(
% 2.13/2.51 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T, V1
% 2.13/2.51 ) ],
% 2.13/2.51 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, T ) ), ~(
% 2.13/2.51 equidistant( Z, Y, Z, T ) ), =( Y, T ) ],
% 2.13/2.51 [ equidistant( X, Y, Z, insertion( Z, T, X, Y ) ) ],
% 2.13/2.51 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ), between( T,
% 2.13/2.51 insertion( T, U, X, Y ), U ) ],
% 2.13/2.51 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ), equidistant(
% 2.13/2.51 Y, Z, insertion( T, U, X, Y ), U ) ],
% 2.13/2.51 [ ~( between( X, Y, Z ) ), =( Y, insertion( X, Z, X, Y ) ) ],
% 2.13/2.51 [ ~( equidistant( X, Y, Z, T ) ), =( insertion( U, W, X, Y ), insertion(
% 2.13/2.51 U, W, Z, T ) ) ],
% 2.13/2.51 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 2.13/2.51 equidistant( X, U, Z, W ) ), ~( between( X, Y, U ) ), between( Z, T, W )
% 2.13/2.51 ],
% 2.13/2.51 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between(
% 2.13/2.51 X, Z, T ), between( X, T, Z ) ],
% 2.13/2.51 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between(
% 2.13/2.51 Y, Z, T ), between( Y, T, Z ) ],
% 2.13/2.51 [ ~( between( X, Y, Z ) ), ~( between( T, Y, Z ) ), =( Y, Z ), between(
% 2.13/2.51 X, T, Y ), between( T, X, Y ) ],
% 2.13/2.51 [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between( X, Y, T ),
% 2.13/2.51 between( X, T, Y ) ],
% 2.13/2.51 [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between( Y, T, Z ),
% 2.13/2.51 between( T, Y, Z ) ],
% 2.13/2.51 [ ~( between( X, Y, Z ) ), ~( between( Y, T, U ) ), ~( between( X, U, Z
% 2.13/2.51 ) ), between( X, T, Z ) ],
% 2.13/2.51 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, Z ) ), =( Y, Z ) ]
% 69.69/70.08 ,
% 69.69/70.08 [ ~( between( X, Y, Z ) ), colinear( Z, Y, X ) ],
% 69.69/70.08 [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ],
% 69.69/70.08 [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ],
% 69.69/70.08 [ ~( colinear( X, Y, Z ) ), colinear( Z, Y, X ) ],
% 69.69/70.08 [ ~( colinear( X, Y, Z ) ), colinear( Y, Z, X ) ],
% 69.69/70.08 [ ~( colinear( X, Y, Z ) ), colinear( X, Z, Y ) ],
% 69.69/70.08 [ ~( colinear( X, Y, Z ) ), colinear( Z, X, Y ) ],
% 69.69/70.08 [ ~( colinear( X, Y, Z ) ), colinear( Y, X, Z ) ],
% 69.69/70.08 [ ~( colinear( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 69.69/70.08 'lower_dimension_point_3' ) ) ],
% 69.69/70.08 [ colinear( X, X, Y ) ],
% 69.69/70.08 [ colinear( X, Y, X ) ],
% 69.69/70.08 [ colinear( X, Y, Y ) ],
% 69.69/70.08 [ ~( =( X, Y ) ), colinear( X, Z, Y ) ],
% 69.69/70.08 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 69.69/70.08 equidistant( X, U, Z, W ) ), ~( colinear( X, Y, U ) ), colinear( Z, T, W
% 69.69/70.08 ) ],
% 69.69/70.08 [ ~( =( a, b ) ) ],
% 69.69/70.08 [ colinear( a, b, c ) ],
% 69.69/70.08 [ colinear( a, b, d ) ],
% 69.69/70.08 [ ~( colinear( a, c, d ) ), ~( colinear( b, c, d ) ) ]
% 69.69/70.08 ] .
% 69.69/70.08
% 69.69/70.08
% 69.69/70.08 percentage equality = 0.171103, percentage horn = 0.811881
% 69.69/70.08 This is a problem with some equality
% 69.69/70.08
% 69.69/70.08
% 69.69/70.08
% 69.69/70.08 Options Used:
% 69.69/70.08
% 69.69/70.08 useres = 1
% 69.69/70.08 useparamod = 1
% 69.69/70.08 useeqrefl = 1
% 69.69/70.08 useeqfact = 1
% 69.69/70.08 usefactor = 1
% 69.69/70.08 usesimpsplitting = 0
% 69.69/70.08 usesimpdemod = 5
% 69.69/70.08 usesimpres = 3
% 69.69/70.08
% 69.69/70.08 resimpinuse = 1000
% 69.69/70.08 resimpclauses = 20000
% 69.69/70.08 substype = eqrewr
% 69.69/70.08 backwardsubs = 1
% 69.69/70.08 selectoldest = 5
% 69.69/70.08
% 69.69/70.08 litorderings [0] = split
% 69.69/70.08 litorderings [1] = extend the termordering, first sorting on arguments
% 69.69/70.08
% 69.69/70.08 termordering = kbo
% 69.69/70.08
% 69.69/70.08 litapriori = 0
% 69.69/70.08 termapriori = 1
% 69.69/70.08 litaposteriori = 0
% 69.69/70.08 termaposteriori = 0
% 69.69/70.08 demodaposteriori = 0
% 69.69/70.08 ordereqreflfact = 0
% 69.69/70.08
% 69.69/70.08 litselect = negord
% 69.69/70.08
% 69.69/70.08 maxweight = 15
% 69.69/70.08 maxdepth = 30000
% 69.69/70.08 maxlength = 115
% 69.69/70.08 maxnrvars = 195
% 69.69/70.08 excuselevel = 1
% 69.69/70.08 increasemaxweight = 1
% 69.69/70.08
% 69.69/70.08 maxselected = 10000000
% 69.69/70.08 maxnrclauses = 10000000
% 69.69/70.08
% 69.69/70.08 showgenerated = 0
% 69.69/70.08 showkept = 0
% 69.69/70.08 showselected = 0
% 69.69/70.08 showdeleted = 0
% 69.69/70.08 showresimp = 1
% 69.69/70.08 showstatus = 2000
% 69.69/70.08
% 69.69/70.08 prologoutput = 1
% 69.69/70.09 nrgoals = 5000000
% 69.69/70.09 totalproof = 1
% 69.69/70.09
% 69.69/70.09 Symbols occurring in the translation:
% 69.69/70.09
% 69.69/70.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 69.69/70.09 . [1, 2] (w:1, o:34, a:1, s:1, b:0),
% 69.69/70.09 ! [4, 1] (w:0, o:29, a:1, s:1, b:0),
% 69.69/70.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 69.69/70.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 69.69/70.09 equidistant [41, 4] (w:1, o:62, a:1, s:1, b:0),
% 69.69/70.09 extension [46, 4] (w:1, o:63, a:1, s:1, b:0),
% 69.69/70.09 between [47, 3] (w:1, o:60, a:1, s:1, b:0),
% 69.69/70.09 'inner_pasch' [53, 5] (w:1, o:65, a:1, s:1, b:0),
% 69.69/70.09 'lower_dimension_point_1' [54, 0] (w:1, o:22, a:1, s:1, b:0),
% 69.69/70.09 'lower_dimension_point_2' [55, 0] (w:1, o:23, a:1, s:1, b:0),
% 69.69/70.09 'lower_dimension_point_3' [56, 0] (w:1, o:24, a:1, s:1, b:0),
% 69.69/70.09 euclid1 [57, 5] (w:1, o:66, a:1, s:1, b:0),
% 69.69/70.09 euclid2 [58, 5] (w:1, o:67, a:1, s:1, b:0),
% 69.69/70.09 continuous [59, 6] (w:1, o:68, a:1, s:1, b:0),
% 69.69/70.09 colinear [60, 3] (w:1, o:61, a:1, s:1, b:0),
% 69.69/70.09 reflection [61, 2] (w:1, o:59, a:1, s:1, b:0),
% 69.69/70.09 insertion [64, 4] (w:1, o:64, a:1, s:1, b:0),
% 69.69/70.09 a [65, 0] (w:1, o:25, a:1, s:1, b:0),
% 69.69/70.09 b [66, 0] (w:1, o:26, a:1, s:1, b:0),
% 69.69/70.09 c [67, 0] (w:1, o:27, a:1, s:1, b:0),
% 69.69/70.09 d [68, 0] (w:1, o:28, a:1, s:1, b:0).
% 69.69/70.09
% 69.69/70.09
% 69.69/70.09 Starting Search:
% 69.69/70.09
% 69.69/70.09 Resimplifying inuse:
% 69.69/70.09 Done
% 69.69/70.09
% 69.69/70.09
% 69.69/70.09 Intermediate Status:
% 69.69/70.09 Generated: 8582
% 69.69/70.09 Kept: 2080
% 69.69/70.09 Inuse: 129
% 69.69/70.09 Deleted: 0
% 69.69/70.09 Deletedinuse: 0
% 69.69/70.09
% 69.69/70.09 Resimplifying inuse:
% 69.69/70.09 Done
% 69.69/70.09
% 69.69/70.09 Resimplifying inuse:
% 69.69/70.09 Done
% 69.69/70.09
% 69.69/70.09
% 69.69/70.09 Intermediate Status:
% 69.69/70.09 Generated: 18156
% 69.69/70.09 Kept: 4098
% 69.69/70.09 Inuse: 176
% 69.69/70.09 Deleted: 0
% 69.69/70.09 Deletedinuse: 0
% 69.69/70.09
% 69.69/70.09 Resimplifying inuse:
% 69.69/70.09 Done
% 69.69/70.09
% 69.69/70.09 Resimplifying inuse:
% 69.69/70.09 Done
% 69.69/70.09
% 69.69/70.09
% 69.69/70.09 Intermediate Status:
% 69.69/70.09 Generated: 25538
% 69.69/70.09 Kept: 6114
% 69.69/70.09 Inuse: 205
% 69.69/70.09 Deleted: 1
% 69.69/70.09 Deletedinuse: 0
% 69.69/70.09
% 69.69/70.09 Resimplifying inuse:
% 69.69/70.09 Done
% 69.69/70.09
% 69.69/70.09 Resimplifying inuse:
% 69.69/70.09 Done
% 69.69/70.09
% 69.69/70.09
% 69.69/70.09 Intermediate Status:
% 69.69/70.09 Generated: 35886
% 69.69/70.09 Kept: 8120
% 69.69/70.09 Inuse: 236
% 69.69/70.09 Deleted: 1
% 69.69/70.09 Deletedinuse: 0
% 69.69/70.09
% 69.69/70.09 Resimplifying inuse:
% 69.69/70.09 Done
% 69.69/70.09
% 69.69/70.09 Resimplifying inuse:
% 69.69/70.09 Done
% 69.69/70.09
% 69.69/70.09
% 69.69/70.09 Intermediate Status:
% 69.69/70.09 Generated: 51858
% 69.69/70.09 Kept: 10183
% 69.69/70.09 Inuse: 270
% 69.69/70.09 Deleted: 1
% 232.54/232.92 Deletedinuse: 0
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 68650
% 232.54/232.92 Kept: 12212
% 232.54/232.92 Inuse: 307
% 232.54/232.92 Deleted: 1
% 232.54/232.92 Deletedinuse: 0
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 79245
% 232.54/232.92 Kept: 14212
% 232.54/232.92 Inuse: 335
% 232.54/232.92 Deleted: 1
% 232.54/232.92 Deletedinuse: 0
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 95327
% 232.54/232.92 Kept: 16251
% 232.54/232.92 Inuse: 402
% 232.54/232.92 Deleted: 8
% 232.54/232.92 Deletedinuse: 0
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 112707
% 232.54/232.92 Kept: 18271
% 232.54/232.92 Inuse: 458
% 232.54/232.92 Deleted: 14
% 232.54/232.92 Deletedinuse: 0
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 125024
% 232.54/232.92 Kept: 20794
% 232.54/232.92 Inuse: 486
% 232.54/232.92 Deleted: 15
% 232.54/232.92 Deletedinuse: 0
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying clauses:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 141696
% 232.54/232.92 Kept: 22800
% 232.54/232.92 Inuse: 549
% 232.54/232.92 Deleted: 85
% 232.54/232.92 Deletedinuse: 0
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 158687
% 232.54/232.92 Kept: 24819
% 232.54/232.92 Inuse: 613
% 232.54/232.92 Deleted: 85
% 232.54/232.92 Deletedinuse: 0
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 175755
% 232.54/232.92 Kept: 26846
% 232.54/232.92 Inuse: 677
% 232.54/232.92 Deleted: 85
% 232.54/232.92 Deletedinuse: 0
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 190631
% 232.54/232.92 Kept: 28859
% 232.54/232.92 Inuse: 726
% 232.54/232.92 Deleted: 85
% 232.54/232.92 Deletedinuse: 0
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 210836
% 232.54/232.92 Kept: 30875
% 232.54/232.92 Inuse: 813
% 232.54/232.92 Deleted: 87
% 232.54/232.92 Deletedinuse: 0
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 281599
% 232.54/232.92 Kept: 32893
% 232.54/232.92 Inuse: 896
% 232.54/232.92 Deleted: 89
% 232.54/232.92 Deletedinuse: 2
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 413903
% 232.54/232.92 Kept: 34899
% 232.54/232.92 Inuse: 977
% 232.54/232.92 Deleted: 89
% 232.54/232.92 Deletedinuse: 2
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 506578
% 232.54/232.92 Kept: 36911
% 232.54/232.92 Inuse: 1052
% 232.54/232.92 Deleted: 89
% 232.54/232.92 Deletedinuse: 2
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 545574
% 232.54/232.92 Kept: 38917
% 232.54/232.92 Inuse: 1095
% 232.54/232.92 Deleted: 89
% 232.54/232.92 Deletedinuse: 2
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying clauses:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 581708
% 232.54/232.92 Kept: 40972
% 232.54/232.92 Inuse: 1135
% 232.54/232.92 Deleted: 167
% 232.54/232.92 Deletedinuse: 2
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 626448
% 232.54/232.92 Kept: 43024
% 232.54/232.92 Inuse: 1185
% 232.54/232.92 Deleted: 167
% 232.54/232.92 Deletedinuse: 2
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 671510
% 232.54/232.92 Kept: 45057
% 232.54/232.92 Inuse: 1235
% 232.54/232.92 Deleted: 167
% 232.54/232.92 Deletedinuse: 2
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 721099
% 232.54/232.92 Kept: 47057
% 232.54/232.92 Inuse: 1274
% 232.54/232.92 Deleted: 167
% 232.54/232.92 Deletedinuse: 2
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 742577
% 232.54/232.92 Kept: 49084
% 232.54/232.92 Inuse: 1306
% 232.54/232.92 Deleted: 167
% 232.54/232.92 Deletedinuse: 2
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 775786
% 232.54/232.92 Kept: 51093
% 232.54/232.92 Inuse: 1362
% 232.54/232.92 Deleted: 167
% 232.54/232.92 Deletedinuse: 2
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 803803
% 232.54/232.92 Kept: 53112
% 232.54/232.92 Inuse: 1405
% 232.54/232.92 Deleted: 167
% 232.54/232.92 Deletedinuse: 2
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 838841
% 232.54/232.92 Kept: 55128
% 232.54/232.92 Inuse: 1469
% 232.54/232.92 Deleted: 167
% 232.54/232.92 Deletedinuse: 2
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 858810
% 232.54/232.92 Kept: 57152
% 232.54/232.92 Inuse: 1504
% 232.54/232.92 Deleted: 167
% 232.54/232.92 Deletedinuse: 2
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 894689
% 232.54/232.92 Kept: 59165
% 232.54/232.92 Inuse: 1571
% 232.54/232.92 Deleted: 167
% 232.54/232.92 Deletedinuse: 2
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying clauses:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 928753
% 232.54/232.92 Kept: 61177
% 232.54/232.92 Inuse: 1613
% 232.54/232.92 Deleted: 239
% 232.54/232.92 Deletedinuse: 2
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 969850
% 232.54/232.92 Kept: 63177
% 232.54/232.92 Inuse: 1651
% 232.54/232.92 Deleted: 269
% 232.54/232.92 Deletedinuse: 32
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 1009881
% 232.54/232.92 Kept: 65215
% 232.54/232.92 Inuse: 1697
% 232.54/232.92 Deleted: 275
% 232.54/232.92 Deletedinuse: 38
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 1059329
% 232.54/232.92 Kept: 67249
% 232.54/232.92 Inuse: 1739
% 232.54/232.92 Deleted: 297
% 232.54/232.92 Deletedinuse: 39
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 1103820
% 232.54/232.92 Kept: 69305
% 232.54/232.92 Inuse: 1777
% 232.54/232.92 Deleted: 297
% 232.54/232.92 Deletedinuse: 39
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 1259161
% 232.54/232.92 Kept: 71309
% 232.54/232.92 Inuse: 1812
% 232.54/232.92 Deleted: 297
% 232.54/232.92 Deletedinuse: 39
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 1383270
% 232.54/232.92 Kept: 73341
% 232.54/232.92 Inuse: 1852
% 232.54/232.92 Deleted: 297
% 232.54/232.92 Deletedinuse: 39
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 1472133
% 232.54/232.92 Kept: 75387
% 232.54/232.92 Inuse: 1890
% 232.54/232.92 Deleted: 297
% 232.54/232.92 Deletedinuse: 39
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 1590261
% 232.54/232.92 Kept: 77395
% 232.54/232.92 Inuse: 1947
% 232.54/232.92 Deleted: 297
% 232.54/232.92 Deletedinuse: 39
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 Intermediate Status:
% 232.54/232.92 Generated: 1740040
% 232.54/232.92 Kept: 79409
% 232.54/232.92 Inuse: 2024
% 232.54/232.92 Deleted: 298
% 232.54/232.92 Deletedinuse: 39
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying inuse:
% 232.54/232.92 Done
% 232.54/232.92
% 232.54/232.92 Resimplifying clauses:
% 232.54/232.92
% 232.54/232.92 Bliksems!, er is een bewijs:
% 232.54/232.92 % SZS status Unsatisfiable
% 232.54/232.92 % SZS output start Refutation
% 232.54/232.92
% 232.54/232.92 clause( 18, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 19, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 20, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 21, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z,
% 232.54/232.92 X ), between( Z, X, Y ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 37, [ ~( =( X, Y ) ), =( reflection( X, Y ), Y ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 38, [ =( reflection( X, X ), X ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 47, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 50, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 54, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( Y
% 232.54/232.92 , Z, T ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 55, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X
% 232.54/232.92 , Z, T ), =( Y, Z ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 56, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X
% 232.54/232.92 , Y, T ), =( Y, Z ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 57, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X
% 232.54/232.92 , T, Z ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 58, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( X
% 232.54/232.92 , Y, T ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 76, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ),
% 232.54/232.92 between( X, Z, T ), between( X, T, Z ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 78, [ ~( between( X, Y, Z ) ), ~( between( T, Y, Z ) ), =( Y, Z ),
% 232.54/232.92 between( X, T, Y ), between( T, X, Y ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 79, [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between( X
% 232.54/232.92 , Y, T ), between( X, T, Y ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 80, [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between( Y
% 232.54/232.92 , T, Z ), between( T, Y, Z ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 83, [ ~( between( X, Y, Z ) ), colinear( Z, Y, X ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 84, [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 85, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 89, [ ~( colinear( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 90, [ ~( colinear( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 95, [ ~( =( X, Y ) ), colinear( X, Z, Y ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 97, [ ~( =( b, a ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 98, [ colinear( a, b, c ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 99, [ colinear( a, b, d ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 100, [ ~( colinear( a, c, d ) ), ~( colinear( b, c, d ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 990, [ colinear( b, a, d ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 1148, [ colinear( d, b, a ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 1152, [ colinear( X, Y, Z ), ~( =( Y, X ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 1154, [ colinear( c, a, b ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 1155, [ colinear( d, a, b ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 1157, [ colinear( b, d, a ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 1366, [ between( c, a, b ), between( a, b, c ), between( b, c, a )
% 232.54/232.92 ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 2368, [ ~( =( X, Y ) ), =( Y, X ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 2500, [ colinear( a, X, d ), ~( =( X, b ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 13985, [ ~( =( c, b ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 13989, [ ~( colinear( b, c, d ) ), ~( between( d, c, a ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 13990, [ ~( colinear( a, c, d ) ), ~( between( d, c, b ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 13991, [ ~( colinear( b, c, d ) ), ~( between( a, d, c ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 13992, [ ~( colinear( a, c, d ) ), ~( between( b, d, c ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 13993, [ ~( colinear( b, c, d ) ), ~( between( c, a, d ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 14012, [ ~( colinear( b, c, d ) ), ~( between( a, c, d ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 59512, [ ~( between( d, c, a ) ), ~( between( d, c, b ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 59518, [ ~( between( d, c, a ) ), ~( between( d, b, c ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 59519, [ ~( between( d, c, a ) ), ~( between( c, d, b ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 59576, [ ~( between( d, c, a ) ), ~( between( d, c, X ) ), ~(
% 232.54/232.92 between( d, b, X ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 59581, [ ~( between( d, c, a ) ), ~( between( d, c, X ) ), ~(
% 232.54/232.92 between( d, X, b ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 59631, [ ~( between( d, c, a ) ), ~( between( d, a, b ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 59633, [ ~( between( d, c, a ) ), ~( between( d, b, a ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 59656, [ ~( between( d, c, a ) ), ~( between( d, X, a ) ), ~(
% 232.54/232.92 between( X, b, a ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 59665, [ ~( between( d, b, a ) ), ~( between( a, c, d ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 59702, [ ~( between( d, c, a ) ), ~( between( c, b, a ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 59997, [ ~( between( c, b, a ) ), ~( between( a, c, d ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 60063, [ ~( between( a, c, d ) ), ~( between( a, b, c ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 60132, [ ~( between( a, b, c ) ), ~( between( a, X, c ) ), ~(
% 232.54/232.92 between( X, c, d ) ), =( X, c ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 60174, [ ~( between( a, b, c ) ), ~( between( b, c, d ) ), =( c, b
% 232.54/232.92 ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 60267, [ ~( between( a, c, d ) ), ~( between( a, b, d ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 60331, [ ~( between( a, c, d ) ), between( b, d, a ), between( d, a
% 232.54/232.92 , b ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 60861, [ ~( between( d, a, b ) ), ~( between( a, c, d ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 60900, [ ~( between( a, c, d ) ), between( b, d, a ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 60901, [ ~( between( a, b, c ) ), ~( between( b, c, d ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 61736, [ ~( between( a, c, d ) ), between( a, d, b ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 61864, [ ~( between( a, c, d ) ), ~( between( a, X, d ) ), between(
% 232.54/232.92 X, d, b ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 61902, [ ~( between( a, c, d ) ), between( c, d, b ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 61933, [ ~( between( d, c, a ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 61940, [ ~( between( a, c, d ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 62129, [ ~( between( a, c, X ) ), ~( between( a, X, d ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 63473, [ ~( between( a, X, d ) ), ~( between( X, c, a ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 65677, [ ~( between( a, b, c ) ), ~( between( X, b, c ) ), ~(
% 232.54/232.92 between( X, c, d ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 66235, [ ~( between( d, c, b ) ), ~( between( a, d, c ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 66236, [ ~( between( d, c, b ) ), ~( between( c, a, d ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 66309, [ ~( between( a, d, c ) ), ~( between( X, d, c ) ), ~(
% 232.54/232.92 between( X, c, b ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 66350, [ ~( between( a, d, c ) ), ~( between( a, c, b ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 66368, [ ~( between( a, c, b ) ), ~( between( a, d, X ) ), ~(
% 232.54/232.92 between( a, c, X ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 66424, [ ~( between( a, c, b ) ), ~( between( a, d, b ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 66528, [ ~( between( a, d, b ) ), ~( between( b, c, a ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 66939, [ ~( between( b, c, a ) ), ~( between( b, d, a ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 67630, [ ~( between( c, a, d ) ), ~( between( b, c, d ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 67682, [ ~( between( b, c, d ) ), ~( between( X, c, d ) ), ~(
% 232.54/232.92 between( X, a, d ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 67740, [ ~( between( b, c, d ) ), ~( between( b, a, d ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 67762, [ ~( between( b, a, d ) ), ~( between( b, c, X ) ), ~(
% 232.54/232.92 between( b, X, d ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 67811, [ ~( between( b, a, d ) ), ~( between( b, c, a ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 67845, [ ~( between( b, c, a ) ), ~( between( d, a, b ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 67919, [ ~( between( b, c, a ) ), between( a, b, d ), between( b, d
% 232.54/232.92 , a ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 69027, [ ~( between( a, d, c ) ), ~( between( b, d, c ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 69032, [ ~( between( a, d, c ) ), ~( between( d, b, c ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 69088, [ ~( between( a, d, c ) ), ~( between( X, b, c ) ), ~(
% 232.54/232.92 between( X, d, c ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 69099, [ ~( between( a, d, c ) ), ~( between( b, X, c ) ), ~(
% 232.54/232.92 between( X, d, c ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 69108, [ ~( between( b, d, c ) ), ~( between( c, d, a ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 69152, [ ~( between( a, d, c ) ), ~( between( b, a, c ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 69154, [ ~( between( a, d, c ) ), ~( between( a, b, c ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 69177, [ ~( between( a, b, c ) ), ~( between( a, X, d ) ), ~(
% 232.54/232.92 between( a, X, c ) ), =( a, X ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 69179, [ ~( between( a, b, c ) ), ~( between( a, d, X ) ), ~(
% 232.54/232.92 between( a, X, c ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 69231, [ ~( between( a, b, c ) ), ~( between( a, d, b ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 69233, [ ~( between( a, b, c ) ), ~( between( a, b, d ) ), =( b, a
% 232.54/232.92 ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 69266, [ ~( between( a, b, c ) ), ~( between( b, d, a ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 69473, [ ~( between( a, b, c ) ), between( d, a, b ), between( a, b
% 232.54/232.92 , d ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 70409, [ ~( between( b, a, c ) ), ~( between( c, d, a ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 70486, [ ~( between( c, d, a ) ), ~( between( c, a, b ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 70545, [ ~( between( c, a, b ) ), ~( between( c, a, X ) ), ~(
% 232.54/232.92 between( d, a, X ) ), =( a, X ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 70602, [ ~( between( c, a, b ) ), ~( between( d, a, b ) ), =( b, a
% 232.54/232.92 ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 71062, [ ~( between( c, d, a ) ), ~( between( c, d, b ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 71970, [ ~( between( b, d, c ) ), ~( between( c, a, d ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 72049, [ ~( between( c, a, d ) ), ~( between( c, d, b ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 72106, [ ~( between( c, d, b ) ), ~( between( c, a, X ) ), ~(
% 232.54/232.92 between( c, d, X ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 72166, [ ~( between( c, d, b ) ), ~( between( c, a, b ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 72192, [ ~( between( c, a, b ) ), ~( between( c, X, b ) ), ~(
% 232.54/232.92 between( X, d, b ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 72242, [ ~( between( c, a, b ) ), ~( between( a, d, b ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 72277, [ ~( between( c, a, b ) ), ~( between( b, d, a ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 72492, [ ~( between( c, a, b ) ), between( d, a, b ), between( a, b
% 232.54/232.92 , d ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 73472, [ ~( between( c, a, d ) ), ~( between( c, b, d ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 73540, [ ~( between( c, b, d ) ), ~( between( c, a, X ) ), ~(
% 232.54/232.92 between( c, X, d ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 73541, [ ~( between( c, a, d ) ), ~( between( c, b, X ) ), ~(
% 232.54/232.92 between( c, X, d ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 73592, [ ~( between( c, a, d ) ), ~( between( c, b, a ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 73593, [ ~( between( c, b, d ) ), ~( between( c, a, b ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 73625, [ ~( between( c, a, b ) ), ~( between( c, X, b ) ), ~(
% 232.54/232.92 between( X, b, d ) ), =( X, b ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 73672, [ ~( between( c, a, b ) ), ~( between( a, b, d ) ), =( b, a
% 232.54/232.92 ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 73934, [ ~( between( c, b, a ) ), ~( between( d, a, c ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 74009, [ ~( between( d, a, c ) ), ~( between( a, b, c ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 74074, [ ~( between( a, b, c ) ), ~( between( d, a, X ) ), ~(
% 232.54/232.92 between( a, X, c ) ), =( a, X ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 74121, [ ~( between( a, b, c ) ), ~( between( d, a, b ) ), =( b, a
% 232.54/232.92 ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 80955, [ ~( between( a, b, c ) ), ~( between( d, a, b ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 80981, [ ~( between( c, a, b ) ), ~( between( a, b, d ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 80991, [ ~( between( c, a, b ) ), between( d, a, b ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 80999, [ ~( between( c, a, b ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 81010, [ ~( between( a, b, c ) ), between( a, b, d ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 81012, [ ~( between( a, b, c ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 81018, [ ~( between( b, c, a ) ) ] )
% 232.54/232.92 .
% 232.54/232.92 clause( 81032, [] )
% 232.54/232.92 .
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 % SZS output end Refutation
% 232.54/232.92 found a proof!
% 232.54/232.92
% 232.54/232.92 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 232.54/232.92
% 232.54/232.92 initialclauses(
% 232.54/232.92 [ clause( 81034, [ equidistant( X, Y, Y, X ) ] )
% 232.54/232.92 , clause( 81035, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 232.54/232.92 , W ) ), equidistant( Z, T, U, W ) ] )
% 232.54/232.92 , clause( 81036, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 232.54/232.92 , clause( 81037, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 232.54/232.92 , clause( 81038, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 232.54/232.92 , clause( 81039, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 232.54/232.92 , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 232.54/232.92 ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 232.54/232.92 equidistant( U, V0, W, V1 ) ] )
% 232.54/232.92 , clause( 81040, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 232.54/232.92 , clause( 81041, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 232.54/232.92 between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 232.54/232.92 , clause( 81042, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 232.54/232.92 between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 232.54/232.92 , clause( 81043, [ ~( between( 'lower_dimension_point_1',
% 232.54/232.92 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 232.54/232.92 , clause( 81044, [ ~( between( 'lower_dimension_point_2',
% 232.54/232.92 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 232.54/232.92 , clause( 81045, [ ~( between( 'lower_dimension_point_3',
% 232.54/232.92 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 232.54/232.92 , clause( 81046, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 232.54/232.92 , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T,
% 232.54/232.92 U, X ), between( U, X, T ), =( Y, Z ) ] )
% 232.54/232.92 , clause( 81047, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 232.54/232.92 Y ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 232.54/232.92 , clause( 81048, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 232.54/232.92 Y ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 232.54/232.92 , clause( 81049, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 232.54/232.92 Y ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ]
% 232.54/232.92 )
% 232.54/232.92 , clause( 81050, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 232.54/232.92 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 232.54/232.92 continuous( X, Y, Z, W, T, U ), U ) ] )
% 232.54/232.92 , clause( 81051, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 232.54/232.92 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 232.54/232.92 , W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 232.54/232.92 , clause( 81052, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 232.54/232.92 , clause( 81053, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 232.54/232.92 , clause( 81054, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 232.54/232.92 , clause( 81055, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 232.54/232.92 , Z, X ), between( Z, X, Y ) ] )
% 232.54/232.92 , clause( 81056, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 232.54/232.92 , clause( 81057, [ =( insertion( X, Y, Z, T ), extension( extension( Y, X,
% 232.54/232.92 'lower_dimension_point_1', 'lower_dimension_point_2' ), X, Z, T ) ) ] )
% 232.54/232.92 , clause( 81058, [ equidistant( X, Y, X, Y ) ] )
% 232.54/232.92 , clause( 81059, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y
% 232.54/232.92 ) ] )
% 232.54/232.92 , clause( 81060, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T
% 232.54/232.92 ) ] )
% 232.54/232.92 , clause( 81061, [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z
% 232.54/232.92 ) ] )
% 232.54/232.92 , clause( 81062, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z
% 232.54/232.92 ) ] )
% 232.54/232.92 , clause( 81063, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X
% 232.54/232.92 ) ] )
% 232.54/232.92 , clause( 81064, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y
% 232.54/232.92 ) ] )
% 232.54/232.92 , clause( 81065, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X
% 232.54/232.92 ) ] )
% 232.54/232.92 , clause( 81066, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U
% 232.54/232.92 , W ) ), equidistant( X, Y, U, W ) ] )
% 232.54/232.92 , clause( 81067, [ =( X, extension( Y, X, Z, Z ) ) ] )
% 232.54/232.92 , clause( 81068, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X )
% 232.54/232.92 ] )
% 232.54/232.92 , clause( 81069, [ between( X, Y, reflection( X, Y ) ) ] )
% 232.54/232.92 , clause( 81070, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 232.54/232.92 , clause( 81071, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 232.54/232.92 , clause( 81072, [ =( X, reflection( X, X ) ) ] )
% 232.54/232.92 , clause( 81073, [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ] )
% 232.54/232.92 , clause( 81074, [ equidistant( X, X, Y, Y ) ] )
% 232.54/232.92 , clause( 81075, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 232.54/232.92 , W ) ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X
% 232.54/232.92 , U, Z, W ) ] )
% 232.54/232.92 , clause( 81076, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~(
% 232.54/232.92 equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 232.54/232.92 , clause( 81077, [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X,
% 232.54/232.92 Y, Y, Z ) ) ] )
% 232.54/232.92 , clause( 81078, [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y
% 232.54/232.92 ), extension( U, W, Z, T ) ), =( U, W ) ] )
% 232.54/232.92 , clause( 81079, [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ),
% 232.54/232.92 =( X, Y ) ] )
% 232.54/232.92 , clause( 81080, [ equidistant( X, Y, X, reflection( reflection( Y, X ), X
% 232.54/232.92 ) ) ] )
% 232.54/232.92 , clause( 81081, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 232.54/232.92 , clause( 81082, [ between( X, Y, Y ) ] )
% 232.54/232.92 , clause( 81083, [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y,
% 232.54/232.92 Z ) ] )
% 232.54/232.92 , clause( 81084, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 232.54/232.92 , clause( 81085, [ between( X, X, Y ) ] )
% 232.54/232.92 , clause( 81086, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X,
% 232.54/232.92 Y ) ] )
% 232.54/232.92 , clause( 81087, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y,
% 232.54/232.92 Z ) ] )
% 232.54/232.92 , clause( 81088, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X,
% 232.54/232.92 Y ), =( Y, Z ) ] )
% 232.54/232.92 , clause( 81089, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X,
% 232.54/232.92 Y ), =( Y, Z ) ] )
% 232.54/232.92 , clause( 81090, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ),
% 232.54/232.92 between( X, Y, Z ) ] )
% 232.54/232.92 , clause( 81091, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ),
% 232.54/232.92 between( Y, Z, T ) ] )
% 232.54/232.92 , clause( 81092, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ),
% 232.54/232.92 between( X, Z, T ), =( Y, Z ) ] )
% 232.54/232.92 , clause( 81093, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ),
% 232.54/232.92 between( X, Y, T ), =( Y, Z ) ] )
% 232.54/232.92 , clause( 81094, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ),
% 232.54/232.92 between( X, T, Z ) ] )
% 232.54/232.92 , clause( 81095, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ),
% 232.54/232.92 between( X, Y, T ) ] )
% 232.54/232.92 , clause( 81096, [ ~( =( 'lower_dimension_point_1',
% 232.54/232.92 'lower_dimension_point_2' ) ) ] )
% 232.54/232.92 , clause( 81097, [ ~( =( 'lower_dimension_point_2',
% 232.54/232.92 'lower_dimension_point_3' ) ) ] )
% 232.54/232.92 , clause( 81098, [ ~( =( 'lower_dimension_point_1',
% 232.54/232.92 'lower_dimension_point_3' ) ) ] )
% 232.54/232.92 , clause( 81099, [ ~( =( X, extension( Y, X, 'lower_dimension_point_1',
% 232.54/232.92 'lower_dimension_point_2' ) ) ) ] )
% 232.54/232.92 , clause( 81100, [ equidistant( X, extension( Y, X,
% 232.54/232.92 'lower_dimension_point_1', 'lower_dimension_point_2' ), Z, extension( T,
% 232.54/232.92 Z, 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 232.54/232.92 , clause( 81101, [ between( X, Y, extension( X, Y,
% 232.54/232.92 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 232.54/232.92 , clause( 81102, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), ~(
% 232.54/232.92 between( X, W, T ) ), between( W, 'inner_pasch'( U, 'inner_pasch'( X, W,
% 232.54/232.92 T, U, Z ), X, Y, Z ), Z ), between( Y, 'inner_pasch'( U, 'inner_pasch'( X
% 232.54/232.92 , W, T, U, Z ), X, Y, Z ), U ) ] )
% 232.54/232.92 , clause( 81103, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, X, T ) )
% 232.54/232.92 , ~( equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 232.54/232.92 , clause( 81104, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, U, Z
% 232.54/232.92 , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 )
% 232.54/232.92 ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0
% 232.54/232.92 , T, V1 ) ] )
% 232.54/232.92 , clause( 81105, [ ~( between( X, Y, Z ) ), ~( between( T, U, W ) ), ~(
% 232.54/232.92 equidistant( X, Y, T, U ) ), ~( equidistant( X, Z, T, W ) ), equidistant(
% 232.54/232.92 Y, Z, U, W ) ] )
% 232.54/232.92 , clause( 81106, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 232.54/232.92 , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 )
% 232.54/232.92 ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0
% 232.54/232.92 , T, V1 ) ] )
% 232.54/232.92 , clause( 81107, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, T ) )
% 232.54/232.92 , ~( equidistant( Z, Y, Z, T ) ), =( Y, T ) ] )
% 232.54/232.92 , clause( 81108, [ equidistant( X, Y, Z, insertion( Z, T, X, Y ) ) ] )
% 232.54/232.92 , clause( 81109, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) )
% 232.54/232.92 , between( T, insertion( T, U, X, Y ), U ) ] )
% 232.54/232.92 , clause( 81110, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) )
% 232.54/232.92 , equidistant( Y, Z, insertion( T, U, X, Y ), U ) ] )
% 232.54/232.92 , clause( 81111, [ ~( between( X, Y, Z ) ), =( Y, insertion( X, Z, X, Y ) )
% 232.54/232.92 ] )
% 232.54/232.92 , clause( 81112, [ ~( equidistant( X, Y, Z, T ) ), =( insertion( U, W, X, Y
% 232.54/232.92 ), insertion( U, W, Z, T ) ) ] )
% 232.54/232.92 , clause( 81113, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 232.54/232.92 , W ) ), ~( equidistant( X, U, Z, W ) ), ~( between( X, Y, U ) ), between(
% 232.54/232.92 Z, T, W ) ] )
% 232.54/232.92 , clause( 81114, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X,
% 232.54/232.92 Y ), between( X, Z, T ), between( X, T, Z ) ] )
% 232.54/232.92 , clause( 81115, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X,
% 232.54/232.92 Y ), between( Y, Z, T ), between( Y, T, Z ) ] )
% 232.54/232.92 , clause( 81116, [ ~( between( X, Y, Z ) ), ~( between( T, Y, Z ) ), =( Y,
% 232.54/232.92 Z ), between( X, T, Y ), between( T, X, Y ) ] )
% 232.54/232.92 , clause( 81117, [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ),
% 232.54/232.92 between( X, Y, T ), between( X, T, Y ) ] )
% 232.54/232.92 , clause( 81118, [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ),
% 232.54/232.92 between( Y, T, Z ), between( T, Y, Z ) ] )
% 232.54/232.92 , clause( 81119, [ ~( between( X, Y, Z ) ), ~( between( Y, T, U ) ), ~(
% 232.54/232.92 between( X, U, Z ) ), between( X, T, Z ) ] )
% 232.54/232.92 , clause( 81120, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, Z ) )
% 232.54/232.92 , =( Y, Z ) ] )
% 232.54/232.92 , clause( 81121, [ ~( between( X, Y, Z ) ), colinear( Z, Y, X ) ] )
% 232.54/232.92 , clause( 81122, [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 232.54/232.92 , clause( 81123, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 232.54/232.92 , clause( 81124, [ ~( colinear( X, Y, Z ) ), colinear( Z, Y, X ) ] )
% 232.54/232.92 , clause( 81125, [ ~( colinear( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 232.54/232.92 , clause( 81126, [ ~( colinear( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 232.54/232.92 , clause( 81127, [ ~( colinear( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 232.54/232.92 , clause( 81128, [ ~( colinear( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 232.54/232.92 , clause( 81129, [ ~( colinear( 'lower_dimension_point_1',
% 232.54/232.92 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 232.54/232.92 , clause( 81130, [ colinear( X, X, Y ) ] )
% 232.54/232.92 , clause( 81131, [ colinear( X, Y, X ) ] )
% 232.54/232.92 , clause( 81132, [ colinear( X, Y, Y ) ] )
% 232.54/232.92 , clause( 81133, [ ~( =( X, Y ) ), colinear( X, Z, Y ) ] )
% 232.54/232.92 , clause( 81134, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 232.54/232.92 , W ) ), ~( equidistant( X, U, Z, W ) ), ~( colinear( X, Y, U ) ),
% 232.54/232.92 colinear( Z, T, W ) ] )
% 232.54/232.92 , clause( 81135, [ ~( =( a, b ) ) ] )
% 232.54/232.92 , clause( 81136, [ colinear( a, b, c ) ] )
% 232.54/232.92 , clause( 81137, [ colinear( a, b, d ) ] )
% 232.54/232.92 , clause( 81138, [ ~( colinear( a, c, d ) ), ~( colinear( b, c, d ) ) ] )
% 232.54/232.92 ] ).
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 subsumption(
% 232.54/232.92 clause( 18, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 232.54/232.92 , clause( 81052, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 232.54/232.92 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 232.54/232.92 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 subsumption(
% 232.54/232.92 clause( 19, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 232.54/232.92 , clause( 81053, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 232.54/232.92 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 232.54/232.92 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 subsumption(
% 232.54/232.92 clause( 20, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 232.54/232.92 , clause( 81054, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 232.54/232.92 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 232.54/232.92 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 subsumption(
% 232.54/232.92 clause( 21, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z,
% 232.54/232.92 X ), between( Z, X, Y ) ] )
% 232.54/232.92 , clause( 81055, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 232.54/232.92 , Z, X ), between( Z, X, Y ) ] )
% 232.54/232.92 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 232.54/232.92 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 232.54/232.92 ).
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 eqswap(
% 232.54/232.92 clause( 81439, [ =( reflection( Y, X ), X ), ~( =( Y, X ) ) ] )
% 232.54/232.92 , clause( 81071, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 232.54/232.92 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 subsumption(
% 232.54/232.92 clause( 37, [ ~( =( X, Y ) ), =( reflection( X, Y ), Y ) ] )
% 232.54/232.92 , clause( 81439, [ =( reflection( Y, X ), X ), ~( =( Y, X ) ) ] )
% 232.54/232.92 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 232.54/232.92 ), ==>( 1, 0 )] ) ).
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 eqswap(
% 232.54/232.92 clause( 81509, [ =( reflection( X, X ), X ) ] )
% 232.54/232.92 , clause( 81072, [ =( X, reflection( X, X ) ) ] )
% 232.54/232.92 , 0, substitution( 0, [ :=( X, X )] )).
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 subsumption(
% 232.54/232.92 clause( 38, [ =( reflection( X, X ), X ) ] )
% 232.54/232.92 , clause( 81509, [ =( reflection( X, X ), X ) ] )
% 232.54/232.92 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 232.54/232.92
% 232.54/232.92
% 232.54/232.92 eqswap(
% 232.54/232.92 clause( 81604, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 232.54/232.92 , clause( 81081, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 232.54/232.92 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 232.54/232.94
% 232.54/232.94
% 232.54/232.94 subsumption(
% 232.54/232.94 clause( 47, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 232.54/232.94 , clause( 81604, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 232.54/232.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 232.54/232.94 )] ) ).
% 232.54/232.94
% 232.54/232.94
% 232.54/232.94 subsumption(
% 232.54/232.94 clause( 50, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 232.54/232.94 , clause( 81084, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 232.54/232.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 232.54/232.94 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 232.54/232.94
% 232.54/232.94
% 232.54/232.94 subsumption(
% 232.54/232.94 clause( 54, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( Y
% 232.54/232.94 , Z, T ) ] )
% 232.54/232.94 , clause( 81091, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ),
% 232.54/232.94 between( Y, Z, T ) ] )
% 232.54/232.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 232.54/232.94 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 232.54/232.94
% 232.54/232.94
% 232.54/232.94 subsumption(
% 232.54/232.94 clause( 55, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X
% 232.54/232.94 , Z, T ), =( Y, Z ) ] )
% 232.54/232.94 , clause( 81092, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ),
% 232.54/232.94 between( X, Z, T ), =( Y, Z ) ] )
% 232.54/232.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 232.54/232.94 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 232.54/232.94 ).
% 232.54/232.94
% 232.54/232.94
% 232.54/232.94 subsumption(
% 232.54/232.94 clause( 56, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X
% 232.54/232.94 , Y, T ), =( Y, Z ) ] )
% 232.54/232.94 , clause( 81093, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ),
% 232.54/232.94 between( X, Y, T ), =( Y, Z ) ] )
% 232.54/232.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 232.54/232.94 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 232.54/232.94 ).
% 232.54/232.94
% 232.54/232.94
% 232.54/232.94 subsumption(
% 232.54/232.94 clause( 57, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X
% 232.54/232.94 , T, Z ) ] )
% 232.54/232.94 , clause( 81094, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ),
% 232.54/232.94 between( X, T, Z ) ] )
% 232.54/232.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 232.54/232.94 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 232.54/232.94
% 232.54/232.94
% 232.54/232.94 subsumption(
% 232.54/232.94 clause( 58, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( X
% 232.54/232.94 , Y, T ) ] )
% 232.54/232.94 , clause( 81095, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ),
% 232.54/232.94 between( X, Y, T ) ] )
% 232.54/232.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 232.54/232.94 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 232.54/232.94
% 232.54/232.94
% 232.54/232.94 subsumption(
% 232.54/232.94 clause( 76, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ),
% 232.54/232.94 between( X, Z, T ), between( X, T, Z ) ] )
% 232.54/232.94 , clause( 81114, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X,
% 232.54/232.94 Y ), between( X, Z, T ), between( X, T, Z ) ] )
% 232.54/232.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 232.54/232.94 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 232.54/232.94 ==>( 4, 4 )] ) ).
% 232.54/232.94
% 232.54/232.94
% 232.54/232.94 subsumption(
% 232.54/232.94 clause( 78, [ ~( between( X, Y, Z ) ), ~( between( T, Y, Z ) ), =( Y, Z ),
% 232.54/232.94 between( X, T, Y ), between( T, X, Y ) ] )
% 232.54/232.94 , clause( 81116, [ ~( between( X, Y, Z ) ), ~( between( T, Y, Z ) ), =( Y,
% 232.54/232.94 Z ), between( X, T, Y ), between( T, X, Y ) ] )
% 232.54/232.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 232.54/232.94 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 232.54/232.94 ==>( 4, 4 )] ) ).
% 232.54/232.94
% 232.54/232.94
% 232.54/232.94 subsumption(
% 232.54/232.94 clause( 79, [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between( X
% 232.54/232.94 , Y, T ), between( X, T, Y ) ] )
% 232.54/232.94 , clause( 81117, [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ),
% 232.54/232.94 between( X, Y, T ), between( X, T, Y ) ] )
% 232.54/232.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 232.54/232.94 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 232.54/232.94 ).
% 232.54/232.94
% 232.54/232.94
% 232.54/232.94 subsumption(
% 232.54/232.94 clause( 80, [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between( Y
% 232.54/232.94 , T, Z ), between( T, Y, Z ) ] )
% 232.54/232.94 , clause( 81118, [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ),
% 232.54/232.94 between( Y, T, Z ), between( T, Y, Z ) ] )
% 232.54/232.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 232.54/232.94 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 232.54/232.94 ).
% 232.54/232.94
% 232.54/232.94
% 232.54/232.94 subsumption(
% 232.54/232.94 clause( 83, [ ~( between( X, Y, Z ) ), colinear( Z, Y, X ) ] )
% 232.54/232.94 , clause( 81121, [ ~( between( X, Y, Z ) ), colinear( Z, Y, X ) ] )
% 232.54/232.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 232.54/232.95 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 232.54/232.95
% 232.54/232.95
% 232.54/232.95 subsumption(
% 232.54/232.95 clause( 84, [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 232.54/232.95 , clause( 81122, [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 232.54/232.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 232.54/232.95 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 232.54/232.95
% 232.54/232.95
% 232.54/232.95 subsumption(
% 232.54/232.95 clause( 85, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 232.54/232.95 , clause( 81123, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 232.54/232.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 232.54/232.95 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 232.54/232.95
% 232.54/232.95
% 232.54/232.95 subsumption(
% 232.54/232.95 clause( 89, [ ~( colinear( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 232.54/232.95 , clause( 81127, [ ~( colinear( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 232.54/232.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 232.54/232.95 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 232.54/232.95
% 232.54/232.95
% 232.54/232.95 subsumption(
% 232.54/232.95 clause( 90, [ ~( colinear( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 232.54/232.95 , clause( 81128, [ ~( colinear( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 232.54/232.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 232.54/232.95 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 232.54/232.95
% 232.54/232.95
% 232.54/232.95 subsumption(
% 232.54/232.95 clause( 95, [ ~( =( X, Y ) ), colinear( X, Z, Y ) ] )
% 232.54/232.95 , clause( 81133, [ ~( =( X, Y ) ), colinear( X, Z, Y ) ] )
% 232.54/232.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 232.54/232.95 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 232.54/232.95
% 232.54/232.95
% 232.54/232.95 eqswap(
% 232.54/232.95 clause( 84640, [ ~( =( b, a ) ) ] )
% 232.54/232.95 , clause( 81135, [ ~( =( a, b ) ) ] )
% 232.54/232.95 , 0, substitution( 0, [] )).
% 232.54/232.95
% 232.54/232.95
% 232.54/232.95 subsumption(
% 232.54/232.95 clause( 97, [ ~( =( b, a ) ) ] )
% 232.54/232.95 , clause( 84640, [ ~( =( b, a ) ) ] )
% 232.54/232.95 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 232.54/232.95
% 232.54/232.95
% 232.54/232.95 subsumption(
% 232.54/232.95 clause( 98, [ colinear( a, b, c ) ] )
% 232.54/232.95 , clause( 81136, [ colinear( a, b, c ) ] )
% 232.54/232.95 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 232.54/232.95
% 232.54/232.95
% 232.54/232.95 subsumption(
% 232.54/232.95 clause( 99, [ colinear( a, b, d ) ] )
% 232.54/232.95 , clause( 81137, [ colinear( a, b, d ) ] )
% 232.54/232.95 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 232.54/232.95
% 232.54/232.95
% 232.54/232.95 subsumption(
% 232.54/232.95 clause( 100, [ ~( colinear( a, c, d ) ), ~( colinear( b, c, d ) ) ] )
% 232.54/232.95 , clause( 81138, [ ~( colinear( a, c, d ) ), ~( colinear( b, c, d ) ) ] )
% 232.54/232.95 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 232.54/232.95 ).
% 232.54/232.95
% 232.54/232.95
% 232.54/232.95 resolution(
% 232.54/232.95 clause( 85307, [ colinear( b, a, d ) ] )
% 232.54/232.95 , clause( 90, [ ~( colinear( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 232.54/232.95 , 0, clause( 99, [ colinear( a, b, d ) ] )
% 232.54/232.95 , 0, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, d )] ),
% 232.54/232.95 substitution( 1, [] )).
% 232.54/232.95
% 232.54/232.95
% 232.54/232.95 subsumption(
% 232.54/232.95 clause( 990, [ colinear( b, a, d ) ] )
% 232.54/232.95 , clause( 85307, [ colinear( b, a, d ) ] )
% 232.54/232.95 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 232.54/232.95
% 232.54/232.95
% 232.54/232.95 resolution(
% 232.54/232.95 clause( 85308, [ colinear( d, b, a ) ] )
% 232.54/232.95 , clause( 89, [ ~( colinear( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 232.54/232.95 , 0, clause( 990, [ colinear( b, a, d ) ] )
% 232.54/232.95 , 0, substitution( 0, [ :=( X, b ), :=( Y, a ), :=( Z, d )] ),
% 232.54/232.95 substitution( 1, [] )).
% 232.54/232.95
% 232.54/232.95
% 232.54/232.95 subsumption(
% 232.54/232.95 clause( 1148, [ colinear( d, b, a ) ] )
% 232.54/232.95 , clause( 85308, [ colinear( d, b, a ) ] )
% 232.54/232.95 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 232.54/232.95
% 232.54/232.95
% 232.54/232.95 eqswap(
% 232.54/232.95 clause( 85309, [ ~( =( Y, X ) ), colinear( X, Z, Y ) ] )
% 232.54/232.95 , clause( 95, [ ~( =( X, Y ) ), colinear( X, Z, Y ) ] )
% 232.54/232.95 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 232.54/232.95
% 232.54/232.95
% 232.54/232.95 resolution(
% 232.54/232.95 clause( 85310, [ colinear( Z, X, Y ), ~( =( Z, X ) ) ] )
% 232.54/232.95 , clause( 89, [ ~( colinear( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 232.54/232.95 , 0, clause( 85309, [ ~( =( Y, X ) ), colinear( X, Z, Y ) ] )
% 232.54/232.95 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 232.54/232.95 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 232.54/232.95
% 232.54/232.95
% 232.54/232.95 eqswap(
% 232.54/232.95 clause( 85311, [ ~( =( Y, X ) ), colinear( X, Y, Z ) ] )
% 232.54/232.95 , clause( 85310, [ colinear( Z, X, Y ), ~( =( Z, X ) ) ] )
% 232.54/232.95 , 1, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 232.54/232.95
% 232.54/232.95
% 232.54/232.95 subsumption(
% 232.54/232.95 clause( 1152, [ colinear( X, Y, Z ), ~( =( Y, X ) ) ] )
% 232.54/232.95 , clause( 85311, [ ~( =( Y, X ) ), colinear( X, Y, Z ) ] )
% 232.54/232.95 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 232.54/232.95 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 232.54/232.95
% 232.54/232.95
% 232.54/232.95 resolution(
% 232.54/232.95 clause( 85312, [ colinear( c, a, b ) ] )
% 232.54/232.95 , clause( 89, [ ~( colinear( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 232.54/232.95 , 0, clause( 98, [ colinear( a, b, c ) ] )
% 232.54/232.95 , 0, suCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------