TSTP Solution File: GEO011-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO011-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:50:49 EDT 2022
% Result : Unsatisfiable 0.75s 1.39s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO011-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jun 18 11:18:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.71/1.10 *** allocated 10000 integers for termspace/termends
% 0.71/1.10 *** allocated 10000 integers for clauses
% 0.71/1.10 *** allocated 10000 integers for justifications
% 0.71/1.10 Bliksem 1.12
% 0.71/1.10
% 0.71/1.10
% 0.71/1.10 Automatic Strategy Selection
% 0.71/1.10
% 0.71/1.10 Clauses:
% 0.71/1.10 [
% 0.71/1.10 [ equidistant( X, Y, Y, X ) ],
% 0.71/1.10 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 0.71/1.10 equidistant( Z, T, U, W ) ],
% 0.71/1.10 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.71/1.10 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.71/1.10 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.71/1.10 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.71/1.10 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 0.71/1.10 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.71/1.10 , V0, W, V1 ) ],
% 0.71/1.10 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.71/1.10 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 0.71/1.10 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.71/1.10 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 0.71/1.10 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.71/1.10 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.71/1.10 'lower_dimension_point_3' ) ) ],
% 0.71/1.10 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.71/1.10 'lower_dimension_point_1' ) ) ],
% 0.71/1.10 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.71/1.10 'lower_dimension_point_2' ) ) ],
% 0.71/1.10 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 0.71/1.10 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 0.71/1.10 between( U, X, T ), =( Y, Z ) ],
% 0.71/1.10 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.71/1.10 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.71/1.10 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.71/1.10 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.71/1.10 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.71/1.10 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.71/1.10 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.71/1.10 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.71/1.10 , Y, Z, W, T, U ), U ) ],
% 0.71/1.10 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.71/1.10 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 0.71/1.10 continuous( X, Y, Z, W, T, U ) ) ],
% 0.71/1.10 [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ],
% 0.71/1.10 [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ],
% 0.71/1.10 [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ],
% 0.71/1.10 [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z, X ),
% 0.71/1.10 between( Z, X, Y ) ],
% 0.71/1.10 [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ],
% 0.71/1.10 [ =( insertion( X, Y, Z, T ), extension( extension( Y, X,
% 0.71/1.10 'lower_dimension_point_1', 'lower_dimension_point_2' ), X, Z, T ) ) ]
% 0.71/1.10 ,
% 0.71/1.10 [ equidistant( X, Y, X, Y ) ],
% 0.71/1.10 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ],
% 0.71/1.10 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ],
% 0.71/1.10 [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z ) ],
% 0.71/1.10 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z ) ],
% 0.71/1.10 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X ) ],
% 0.71/1.10 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y ) ],
% 0.71/1.10 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X ) ],
% 0.71/1.10 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U, W ) ),
% 0.71/1.10 equidistant( X, Y, U, W ) ],
% 0.71/1.10 [ =( X, extension( Y, X, Z, Z ) ) ],
% 0.71/1.10 [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ],
% 0.71/1.10 [ between( X, Y, reflection( X, Y ) ) ],
% 0.71/1.10 [ equidistant( X, reflection( Y, X ), Y, X ) ],
% 0.71/1.10 [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ],
% 0.71/1.10 [ =( X, reflection( X, X ) ) ],
% 0.71/1.10 [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ],
% 0.71/1.10 [ equidistant( X, X, Y, Y ) ],
% 0.71/1.10 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.71/1.10 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X, U, Z, W )
% 0.71/1.10 ],
% 0.71/1.10 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~( equidistant( Y, Z
% 0.71/1.10 , Y, T ) ), =( X, Y ), =( Z, T ) ],
% 0.71/1.10 [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, Y, Y, Z ) ) ]
% 0.71/1.10 ,
% 0.71/1.10 [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y ), extension(
% 0.71/1.10 U, W, Z, T ) ), =( U, W ) ],
% 0.71/1.10 [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ), =( X, Y ) ]
% 0.75/1.39 ,
% 0.75/1.39 [ equidistant( X, Y, X, reflection( reflection( Y, X ), X ) ) ],
% 0.75/1.39 [ =( X, reflection( reflection( X, Y ), Y ) ) ],
% 0.75/1.39 [ between( X, Y, Y ) ],
% 0.75/1.39 [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z ) ],
% 0.75/1.39 [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ],
% 0.75/1.39 [ between( X, X, Y ) ],
% 0.75/1.39 [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ) ],
% 0.75/1.39 [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, Z ) ],
% 0.75/1.39 [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ), =( Y, Z )
% 0.75/1.39 ],
% 0.75/1.39 [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X, Y ), =( Y, Z )
% 0.75/1.39 ],
% 0.75/1.39 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, Z ) ]
% 0.75/1.39 ,
% 0.75/1.39 [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( Y, Z, T ) ]
% 0.75/1.39 ,
% 0.75/1.39 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Z, T ),
% 0.75/1.39 =( Y, Z ) ],
% 0.75/1.39 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, T ),
% 0.75/1.39 =( Y, Z ) ],
% 0.75/1.39 [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X, T, Z ) ]
% 0.75/1.39 ,
% 0.75/1.39 [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( X, Y, T ) ]
% 0.75/1.39 ,
% 0.75/1.39 [ ~( =( 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ],
% 0.75/1.39 [ ~( =( 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ],
% 0.75/1.39 [ ~( =( 'lower_dimension_point_1', 'lower_dimension_point_3' ) ) ],
% 0.75/1.39 [ ~( =( X, extension( Y, X, 'lower_dimension_point_1',
% 0.75/1.39 'lower_dimension_point_2' ) ) ) ],
% 0.75/1.39 [ equidistant( X, extension( Y, X, 'lower_dimension_point_1',
% 0.75/1.39 'lower_dimension_point_2' ), Z, extension( T, Z,
% 0.75/1.39 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ],
% 0.75/1.39 [ between( X, Y, extension( X, Y, 'lower_dimension_point_1',
% 0.75/1.39 'lower_dimension_point_2' ) ) ],
% 0.75/1.39 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), ~( between( X, W, T
% 0.75/1.39 ) ), between( W, 'inner_pasch'( U, 'inner_pasch'( X, W, T, U, Z ), X, Y
% 0.75/1.39 , Z ), Z ), between( Y, 'inner_pasch'( U, 'inner_pasch'( X, W, T, U, Z )
% 0.75/1.39 , X, Y, Z ), U ) ],
% 0.75/1.39 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, X, T ) ), ~(
% 0.75/1.39 equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ],
% 0.75/1.39 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, U, Z, W ) ), ~(
% 0.75/1.39 equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) ), ~(
% 0.75/1.39 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T, V1
% 0.75/1.39 ) ],
% 0.75/1.39 [ ~( between( X, Y, Z ) ), ~( between( T, U, W ) ), ~( equidistant( X, Y
% 0.75/1.39 , T, U ) ), ~( equidistant( X, Z, T, W ) ), equidistant( Y, Z, U, W ) ]
% 0.75/1.39 ,
% 0.75/1.39 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.75/1.39 equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) ), ~(
% 0.75/1.39 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T, V1
% 0.75/1.39 ) ],
% 0.75/1.39 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, T ) ), ~(
% 0.75/1.39 equidistant( Z, Y, Z, T ) ), =( Y, T ) ],
% 0.75/1.39 [ equidistant( X, Y, Z, insertion( Z, T, X, Y ) ) ],
% 0.75/1.39 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ), between( T,
% 0.75/1.39 insertion( T, U, X, Y ), U ) ],
% 0.75/1.39 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ), equidistant(
% 0.75/1.39 Y, Z, insertion( T, U, X, Y ), U ) ],
% 0.75/1.39 [ ~( between( X, Y, Z ) ), =( Y, insertion( X, Z, X, Y ) ) ],
% 0.75/1.39 [ ~( equidistant( X, Y, Z, T ) ), =( insertion( U, W, X, Y ), insertion(
% 0.75/1.39 U, W, Z, T ) ) ],
% 0.75/1.39 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.75/1.39 equidistant( X, U, Z, W ) ), ~( between( X, Y, U ) ), between( Z, T, W )
% 0.75/1.39 ],
% 0.75/1.39 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between(
% 0.75/1.39 X, Z, T ), between( X, T, Z ) ],
% 0.75/1.39 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between(
% 0.75/1.39 Y, Z, T ), between( Y, T, Z ) ],
% 0.75/1.39 [ ~( between( X, Y, Z ) ), ~( between( T, Y, Z ) ), =( Y, Z ), between(
% 0.75/1.39 X, T, Y ), between( T, X, Y ) ],
% 0.75/1.39 [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between( X, Y, T ),
% 0.75/1.39 between( X, T, Y ) ],
% 0.75/1.39 [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between( Y, T, Z ),
% 0.75/1.39 between( T, Y, Z ) ],
% 0.75/1.39 [ ~( between( X, Y, Z ) ), ~( between( Y, T, U ) ), ~( between( X, U, Z
% 0.75/1.39 ) ), between( X, T, Z ) ],
% 0.75/1.39 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, Z ) ), =( Y, Z ) ]
% 0.75/1.39 ,
% 0.75/1.39 [ ~( between( X, Y, Z ) ), colinear( Z, Y, X ) ],
% 0.75/1.39 [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ],
% 0.75/1.39 [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ],
% 0.75/1.39 [ ~( colinear( X, Y, Z ) ), colinear( Z, Y, X ) ],
% 0.75/1.39 [ ~( colinear( X, Y, Z ) ), colinear( Y, Z, X ) ],
% 0.75/1.39 [ ~( colinear( X, Y, Z ) ), colinear( X, Z, Y ) ],
% 0.75/1.39 [ ~( colinear( X, Y, Z ) ), colinear( Z, X, Y ) ],
% 0.75/1.39 [ ~( colinear( X, Y, Z ) ), colinear( Y, X, Z ) ],
% 0.75/1.39 [ colinear( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.75/1.39 'lower_dimension_point_3' ) ]
% 0.75/1.39 ] .
% 0.75/1.39
% 0.75/1.39
% 0.75/1.39 percentage equality = 0.173387, percentage horn = 0.793478
% 0.75/1.39 This is a problem with some equality
% 0.75/1.39
% 0.75/1.39
% 0.75/1.39
% 0.75/1.39 Options Used:
% 0.75/1.39
% 0.75/1.39 useres = 1
% 0.75/1.39 useparamod = 1
% 0.75/1.39 useeqrefl = 1
% 0.75/1.39 useeqfact = 1
% 0.75/1.39 usefactor = 1
% 0.75/1.39 usesimpsplitting = 0
% 0.75/1.39 usesimpdemod = 5
% 0.75/1.39 usesimpres = 3
% 0.75/1.39
% 0.75/1.39 resimpinuse = 1000
% 0.75/1.39 resimpclauses = 20000
% 0.75/1.39 substype = eqrewr
% 0.75/1.39 backwardsubs = 1
% 0.75/1.39 selectoldest = 5
% 0.75/1.39
% 0.75/1.39 litorderings [0] = split
% 0.75/1.39 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.39
% 0.75/1.39 termordering = kbo
% 0.75/1.39
% 0.75/1.39 litapriori = 0
% 0.75/1.39 termapriori = 1
% 0.75/1.39 litaposteriori = 0
% 0.75/1.39 termaposteriori = 0
% 0.75/1.39 demodaposteriori = 0
% 0.75/1.39 ordereqreflfact = 0
% 0.75/1.39
% 0.75/1.39 litselect = negord
% 0.75/1.39
% 0.75/1.39 maxweight = 15
% 0.75/1.39 maxdepth = 30000
% 0.75/1.39 maxlength = 115
% 0.75/1.39 maxnrvars = 195
% 0.75/1.39 excuselevel = 1
% 0.75/1.39 increasemaxweight = 1
% 0.75/1.39
% 0.75/1.39 maxselected = 10000000
% 0.75/1.39 maxnrclauses = 10000000
% 0.75/1.39
% 0.75/1.39 showgenerated = 0
% 0.75/1.39 showkept = 0
% 0.75/1.39 showselected = 0
% 0.75/1.39 showdeleted = 0
% 0.75/1.39 showresimp = 1
% 0.75/1.39 showstatus = 2000
% 0.75/1.39
% 0.75/1.39 prologoutput = 1
% 0.75/1.39 nrgoals = 5000000
% 0.75/1.39 totalproof = 1
% 0.75/1.39
% 0.75/1.39 Symbols occurring in the translation:
% 0.75/1.39
% 0.75/1.39 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.39 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 0.75/1.39 ! [4, 1] (w:0, o:25, a:1, s:1, b:0),
% 0.75/1.39 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.39 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.39 equidistant [41, 4] (w:1, o:58, a:1, s:1, b:0),
% 0.75/1.39 extension [46, 4] (w:1, o:59, a:1, s:1, b:0),
% 0.75/1.39 between [47, 3] (w:1, o:56, a:1, s:1, b:0),
% 0.75/1.39 'inner_pasch' [53, 5] (w:1, o:61, a:1, s:1, b:0),
% 0.75/1.39 'lower_dimension_point_1' [54, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.75/1.39 'lower_dimension_point_2' [55, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.75/1.39 'lower_dimension_point_3' [56, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.75/1.39 euclid1 [57, 5] (w:1, o:62, a:1, s:1, b:0),
% 0.75/1.39 euclid2 [58, 5] (w:1, o:63, a:1, s:1, b:0),
% 0.75/1.39 continuous [59, 6] (w:1, o:64, a:1, s:1, b:0),
% 0.75/1.39 colinear [60, 3] (w:1, o:57, a:1, s:1, b:0),
% 0.75/1.39 reflection [61, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.75/1.39 insertion [64, 4] (w:1, o:60, a:1, s:1, b:0).
% 0.75/1.39
% 0.75/1.39
% 0.75/1.39 Starting Search:
% 0.75/1.39
% 0.75/1.39 Resimplifying inuse:
% 0.75/1.39 Done
% 0.75/1.39
% 0.75/1.39
% 0.75/1.39 Intermediate Status:
% 0.75/1.39 Generated: 9180
% 0.75/1.39 Kept: 2008
% 0.75/1.39 Inuse: 136
% 0.75/1.39 Deleted: 0
% 0.75/1.39 Deletedinuse: 0
% 0.75/1.39
% 0.75/1.39 Resimplifying inuse:
% 0.75/1.39 Done
% 0.75/1.39
% 0.75/1.39 Resimplifying inuse:
% 0.75/1.39 Done
% 0.75/1.39
% 0.75/1.39
% 0.75/1.39 Bliksems!, er is een bewijs:
% 0.75/1.39 % SZS status Unsatisfiable
% 0.75/1.39 % SZS output start Refutation
% 0.75/1.39
% 0.75/1.39 clause( 9, [ ~( between( 'lower_dimension_point_1',
% 0.75/1.39 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.75/1.39 .
% 0.75/1.39 clause( 10, [ ~( between( 'lower_dimension_point_2',
% 0.75/1.39 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.75/1.39 .
% 0.75/1.39 clause( 11, [ ~( between( 'lower_dimension_point_3',
% 0.75/1.39 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.75/1.39 .
% 0.75/1.39 clause( 21, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z,
% 0.75/1.39 X ), between( Z, X, Y ) ] )
% 0.75/1.39 .
% 0.75/1.39 clause( 37, [ ~( =( X, Y ) ), =( reflection( X, Y ), Y ) ] )
% 0.75/1.39 .
% 0.75/1.39 clause( 38, [ =( reflection( X, X ), X ) ] )
% 0.75/1.39 .
% 0.75/1.39 clause( 47, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 0.75/1.39 .
% 0.75/1.39 clause( 50, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 0.75/1.39 .
% 0.75/1.39 clause( 89, [ ~( colinear( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 0.75/1.39 .
% 0.75/1.39 clause( 90, [ ~( colinear( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 0.75/1.39 .
% 0.75/1.39 clause( 91, [ colinear( 'lower_dimension_point_1',
% 0.75/1.39 'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 0.75/1.39 .
% 0.75/1.39 clause( 541, [ colinear( 'lower_dimension_point_2',
% 0.75/1.39 'lower_dimension_point_1', 'lower_dimension_point_3' ) ] )
% 0.75/1.39 .
% 0.75/1.39 clause( 554, [ colinear( 'lower_dimension_point_3',
% 0.75/1.39 'lower_dimension_point_2', 'lower_dimension_point_1' ) ] )
% 0.75/1.39 .
% 0.75/1.39 clause( 643, [ colinear( 'lower_dimension_point_1',
% 0.75/1.39 'lower_dimension_point_3', 'lower_dimension_point_2' ) ] )
% 0.75/1.39 .
% 0.75/1.39 clause( 1102, [ ~( between( 'lower_dimension_point_3',
% 0.75/1.39 'lower_dimension_point_2', 'lower_dimension_point_1' ) ) ] )
% 0.75/1.39 .
% 0.75/1.39 clause( 1103, [ ~( between( 'lower_dimension_point_1',
% 0.75/1.39 'lower_dimension_point_3', 'lower_dimension_point_2' ) ) ] )
% 0.75/1.39 .
% 0.75/1.39 clause( 1104, [ ~( between( 'lower_dimension_point_2',
% 0.75/1.39 'lower_dimension_point_1', 'lower_dimension_point_3' ) ) ] )
% 0.75/1.39 .
% 0.75/1.39 clause( 2413, [ ~( =( X, Y ) ), =( Y, X ) ] )
% 0.75/1.39 .
% 0.75/1.39 clause( 2517, [ ~( between( 'lower_dimension_point_1',
% 0.75/1.39 'lower_dimension_point_3', X ) ), ~( =( X, 'lower_dimension_point_2' ) )
% 0.75/1.39 ] )
% 0.75/1.39 .
% 0.75/1.39 clause( 2535, [ colinear( 'lower_dimension_point_1',
% 0.75/1.39 'lower_dimension_point_3', X ), ~( =( X, 'lower_dimension_point_2' ) ) ]
% 0.75/1.39 )
% 0.75/1.39 .
% 0.75/1.39 clause( 3781, [ ~( =( X, 'lower_dimension_point_2' ) ), between(
% 0.75/1.39 'lower_dimension_point_3', X, 'lower_dimension_point_1' ), between( X,
% 0.75/1.39 'lower_dimension_point_1', 'lower_dimension_point_3' ) ] )
% 0.75/1.39 .
% 0.75/1.39 clause( 3807, [ between( 'lower_dimension_point_2',
% 0.75/1.39 'lower_dimension_point_1', 'lower_dimension_point_3' ) ] )
% 0.75/1.39 .
% 0.75/1.39 clause( 3808, [] )
% 0.75/1.39 .
% 0.75/1.39
% 0.75/1.39
% 0.75/1.39 % SZS output end Refutation
% 0.75/1.39 found a proof!
% 0.75/1.39
% 0.75/1.39 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.75/1.39
% 0.75/1.39 initialclauses(
% 0.75/1.39 [ clause( 3810, [ equidistant( X, Y, Y, X ) ] )
% 0.75/1.39 , clause( 3811, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 0.75/1.39 W ) ), equidistant( Z, T, U, W ) ] )
% 0.75/1.39 , clause( 3812, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.75/1.39 , clause( 3813, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.75/1.39 , clause( 3814, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.75/1.39 , clause( 3815, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T,
% 0.75/1.39 W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) )
% 0.75/1.39 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 0.75/1.39 equidistant( U, V0, W, V1 ) ] )
% 0.75/1.39 , clause( 3816, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.75/1.39 , clause( 3817, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.75/1.39 Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 0.75/1.39 , clause( 3818, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.75/1.39 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 0.75/1.39 , clause( 3819, [ ~( between( 'lower_dimension_point_1',
% 0.75/1.39 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.75/1.39 , clause( 3820, [ ~( between( 'lower_dimension_point_2',
% 0.75/1.39 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.75/1.39 , clause( 3821, [ ~( between( 'lower_dimension_point_3',
% 0.75/1.39 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.75/1.39 , clause( 3822, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T,
% 0.75/1.39 Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U
% 0.75/1.39 , X ), between( U, X, T ), =( Y, Z ) ] )
% 0.75/1.39 , clause( 3823, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.75/1.39 ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 0.75/1.39 , clause( 3824, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.75/1.39 ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 0.75/1.39 , clause( 3825, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.75/1.39 ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ] )
% 0.75/1.39 , clause( 3826, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 0.75/1.39 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 0.75/1.39 continuous( X, Y, Z, W, T, U ), U ) ] )
% 0.75/1.39 , clause( 3827, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 0.75/1.39 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X,
% 0.75/1.39 W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 0.75/1.39 , clause( 3828, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 0.75/1.39 , clause( 3829, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 0.75/1.39 , clause( 3830, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 0.75/1.39 , clause( 3831, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 0.75/1.39 , Z, X ), between( Z, X, Y ) ] )
% 0.75/1.39 , clause( 3832, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 0.75/1.39 , clause( 3833, [ =( insertion( X, Y, Z, T ), extension( extension( Y, X,
% 0.75/1.39 'lower_dimension_point_1', 'lower_dimension_point_2' ), X, Z, T ) ) ] )
% 0.75/1.39 , clause( 3834, [ equidistant( X, Y, X, Y ) ] )
% 0.75/1.39 , clause( 3835, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y )
% 0.75/1.39 ] )
% 0.75/1.39 , clause( 3836, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T )
% 0.75/1.39 ] )
% 0.75/1.39 , clause( 3837, [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z )
% 0.75/1.39 ] )
% 0.75/1.39 , clause( 3838, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z )
% 0.75/1.39 ] )
% 0.75/1.39 , clause( 3839, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X )
% 0.75/1.39 ] )
% 0.75/1.39 , clause( 3840, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y )
% 0.75/1.39 ] )
% 0.75/1.39 , clause( 3841, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X )
% 0.75/1.39 ] )
% 0.75/1.39 , clause( 3842, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U,
% 0.75/1.39 W ) ), equidistant( X, Y, U, W ) ] )
% 0.75/1.39 , clause( 3843, [ =( X, extension( Y, X, Z, Z ) ) ] )
% 0.75/1.39 , clause( 3844, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X )
% 0.75/1.39 ] )
% 0.75/1.39 , clause( 3845, [ between( X, Y, reflection( X, Y ) ) ] )
% 0.75/1.39 , clause( 3846, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 0.75/1.39 , clause( 3847, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 0.75/1.39 , clause( 3848, [ =( X, reflection( X, X ) ) ] )
% 0.75/1.39 , clause( 3849, [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ] )
% 0.75/1.39 , clause( 3850, [ equidistant( X, X, Y, Y ) ] )
% 0.75/1.39 , clause( 3851, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T,
% 0.75/1.39 W ) ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X,
% 0.75/1.39 U, Z, W ) ] )
% 0.75/1.39 , clause( 3852, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~(
% 0.75/1.39 equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 0.75/1.39 , clause( 3853, [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, Y
% 0.75/1.39 , Y, Z ) ) ] )
% 0.75/1.39 , clause( 3854, [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y
% 0.75/1.39 ), extension( U, W, Z, T ) ), =( U, W ) ] )
% 0.75/1.39 , clause( 3855, [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ),
% 0.75/1.39 =( X, Y ) ] )
% 0.75/1.39 , clause( 3856, [ equidistant( X, Y, X, reflection( reflection( Y, X ), X )
% 0.75/1.39 ) ] )
% 0.75/1.39 , clause( 3857, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 0.75/1.39 , clause( 3858, [ between( X, Y, Y ) ] )
% 0.75/1.39 , clause( 3859, [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z
% 0.75/1.39 ) ] )
% 0.75/1.39 , clause( 3860, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 0.75/1.39 , clause( 3861, [ between( X, X, Y ) ] )
% 0.75/1.39 , clause( 3862, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y
% 0.75/1.39 ) ] )
% 0.75/1.39 , clause( 3863, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, Z
% 0.75/1.39 ) ] )
% 0.75/1.39 , clause( 3864, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y
% 0.75/1.39 ), =( Y, Z ) ] )
% 0.75/1.39 , clause( 3865, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X, Y
% 0.75/1.39 ), =( Y, Z ) ] )
% 0.75/1.39 , clause( 3866, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between(
% 0.75/1.39 X, Y, Z ) ] )
% 0.75/1.39 , clause( 3867, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between(
% 0.75/1.39 Y, Z, T ) ] )
% 0.75/1.39 , clause( 3868, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between(
% 0.75/1.39 X, Z, T ), =( Y, Z ) ] )
% 0.75/1.39 , clause( 3869, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between(
% 0.75/1.39 X, Y, T ), =( Y, Z ) ] )
% 0.75/1.39 , clause( 3870, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between(
% 0.75/1.39 X, T, Z ) ] )
% 0.75/1.39 , clause( 3871, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between(
% 0.75/1.39 X, Y, T ) ] )
% 0.75/1.39 , clause( 3872, [ ~( =( 'lower_dimension_point_1',
% 0.75/1.39 'lower_dimension_point_2' ) ) ] )
% 0.75/1.39 , clause( 3873, [ ~( =( 'lower_dimension_point_2',
% 0.75/1.39 'lower_dimension_point_3' ) ) ] )
% 0.75/1.39 , clause( 3874, [ ~( =( 'lower_dimension_point_1',
% 0.75/1.39 'lower_dimension_point_3' ) ) ] )
% 0.75/1.39 , clause( 3875, [ ~( =( X, extension( Y, X, 'lower_dimension_point_1',
% 0.75/1.39 'lower_dimension_point_2' ) ) ) ] )
% 0.75/1.39 , clause( 3876, [ equidistant( X, extension( Y, X,
% 0.75/1.39 'lower_dimension_point_1', 'lower_dimension_point_2' ), Z, extension( T,
% 0.75/1.39 Z, 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.75/1.39 , clause( 3877, [ between( X, Y, extension( X, Y, 'lower_dimension_point_1'
% 0.75/1.39 , 'lower_dimension_point_2' ) ) ] )
% 0.75/1.39 , clause( 3878, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), ~(
% 0.75/1.39 between( X, W, T ) ), between( W, 'inner_pasch'( U, 'inner_pasch'( X, W,
% 0.75/1.39 T, U, Z ), X, Y, Z ), Z ), between( Y, 'inner_pasch'( U, 'inner_pasch'( X
% 0.75/1.39 , W, T, U, Z ), X, Y, Z ), U ) ] )
% 0.75/1.39 , clause( 3879, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, X, T ) ),
% 0.75/1.39 ~( equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 0.75/1.39 , clause( 3880, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, U, Z,
% 0.75/1.39 W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) )
% 0.75/1.39 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T
% 0.75/1.39 , V1 ) ] )
% 0.75/1.39 , clause( 3881, [ ~( between( X, Y, Z ) ), ~( between( T, U, W ) ), ~(
% 0.75/1.39 equidistant( X, Y, T, U ) ), ~( equidistant( X, Z, T, W ) ), equidistant(
% 0.75/1.39 Y, Z, U, W ) ] )
% 0.75/1.39 , clause( 3882, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T,
% 0.75/1.39 W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) )
% 0.75/1.39 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T
% 0.75/1.39 , V1 ) ] )
% 0.75/1.39 , clause( 3883, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, T ) ),
% 0.75/1.39 ~( equidistant( Z, Y, Z, T ) ), =( Y, T ) ] )
% 0.75/1.39 , clause( 3884, [ equidistant( X, Y, Z, insertion( Z, T, X, Y ) ) ] )
% 0.75/1.39 , clause( 3885, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ),
% 0.75/1.39 between( T, insertion( T, U, X, Y ), U ) ] )
% 0.75/1.39 , clause( 3886, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ),
% 0.75/1.39 equidistant( Y, Z, insertion( T, U, X, Y ), U ) ] )
% 0.75/1.39 , clause( 3887, [ ~( between( X, Y, Z ) ), =( Y, insertion( X, Z, X, Y ) )
% 0.75/1.39 ] )
% 0.75/1.39 , clause( 3888, [ ~( equidistant( X, Y, Z, T ) ), =( insertion( U, W, X, Y
% 0.75/1.39 ), insertion( U, W, Z, T ) ) ] )
% 0.75/1.39 , clause( 3889, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T,
% 0.75/1.39 W ) ), ~( equidistant( X, U, Z, W ) ), ~( between( X, Y, U ) ), between(
% 0.75/1.39 Z, T, W ) ] )
% 0.75/1.39 , clause( 3890, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y
% 0.75/1.39 ), between( X, Z, T ), between( X, T, Z ) ] )
% 0.75/1.39 , clause( 3891, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y
% 0.75/1.39 ), between( Y, Z, T ), between( Y, T, Z ) ] )
% 0.75/1.39 , clause( 3892, [ ~( between( X, Y, Z ) ), ~( between( T, Y, Z ) ), =( Y, Z
% 0.75/1.39 ), between( X, T, Y ), between( T, X, Y ) ] )
% 0.75/1.39 , clause( 3893, [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between(
% 0.75/1.39 X, Y, T ), between( X, T, Y ) ] )
% 0.75/1.39 , clause( 3894, [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between(
% 0.75/1.39 Y, T, Z ), between( T, Y, Z ) ] )
% 0.75/1.39 , clause( 3895, [ ~( between( X, Y, Z ) ), ~( between( Y, T, U ) ), ~(
% 0.75/1.39 between( X, U, Z ) ), between( X, T, Z ) ] )
% 0.75/1.39 , clause( 3896, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, Z ) ),
% 0.75/1.39 =( Y, Z ) ] )
% 0.75/1.39 , clause( 3897, [ ~( between( X, Y, Z ) ), colinear( Z, Y, X ) ] )
% 0.75/1.39 , clause( 3898, [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 0.75/1.39 , clause( 3899, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 0.75/1.39 , clause( 3900, [ ~( colinear( X, Y, Z ) ), colinear( Z, Y, X ) ] )
% 0.75/1.39 , clause( 3901, [ ~( colinear( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 0.75/1.39 , clause( 3902, [ ~( colinear( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 0.75/1.39 , clause( 3903, [ ~( colinear( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 0.75/1.39 , clause( 3904, [ ~( colinear( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 0.75/1.39 , clause( 3905, [ colinear( 'lower_dimension_point_1',
% 0.75/1.39 'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 0.75/1.39 ] ).
% 0.75/1.39
% 0.75/1.39
% 0.75/1.39
% 0.75/1.39 subsumption(
% 0.75/1.39 clause( 9, [ ~( between( 'lower_dimension_point_1',
% 0.75/1.39 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.75/1.39 , clause( 3819, [ ~( between( 'lower_dimension_point_1',
% 0.75/1.39 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.75/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.39
% 0.75/1.39
% 0.75/1.39 subsumption(
% 0.75/1.39 clause( 10, [ ~( between( 'lower_dimension_point_2',
% 0.75/1.39 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.75/1.39 , clause( 3820, [ ~( between( 'lower_dimension_point_2',
% 0.75/1.39 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.75/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.39
% 0.75/1.39
% 0.75/1.39 subsumption(
% 0.75/1.39 clause( 11, [ ~( between( 'lower_dimension_point_3',
% 0.75/1.39 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.75/1.39 , clause( 3821, [ ~( between( 'lower_dimension_point_3',
% 0.75/1.39 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.75/1.39 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.39
% 0.75/1.39
% 0.75/1.39 subsumption(
% 0.75/1.39 clause( 21, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z,
% 0.75/1.40 X ), between( Z, X, Y ) ] )
% 0.75/1.40 , clause( 3831, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 0.75/1.40 , Z, X ), between( Z, X, Y ) ] )
% 0.75/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.40 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 0.75/1.40 ).
% 0.75/1.40
% 0.75/1.40
% 0.75/1.40 eqswap(
% 0.75/1.40 clause( 4134, [ =( reflection( Y, X ), X ), ~( =( Y, X ) ) ] )
% 0.75/1.40 , clause( 3847, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 0.75/1.40 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.75/1.40
% 0.75/1.40
% 0.75/1.40 subsumption(
% 0.75/1.40 clause( 37, [ ~( =( X, Y ) ), =( reflection( X, Y ), Y ) ] )
% 0.75/1.40 , clause( 4134, [ =( reflection( Y, X ), X ), ~( =( Y, X ) ) ] )
% 0.75/1.40 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 0.75/1.40 ), ==>( 1, 0 )] ) ).
% 0.75/1.40
% 0.75/1.40
% 0.75/1.40 eqswap(
% 0.75/1.40 clause( 4204, [ =( reflection( X, X ), X ) ] )
% 0.75/1.40 , clause( 3848, [ =( X, reflection( X, X ) ) ] )
% 0.75/1.40 , 0, substitution( 0, [ :=( X, X )] )).
% 0.75/1.40
% 0.75/1.40
% 0.75/1.40 subsumption(
% 0.75/1.40 clause( 38, [ =( reflection( X, X ), X ) ] )
% 0.75/1.40 , clause( 4204, [ =( reflection( X, X ), X ) ] )
% 0.75/1.40 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.40
% 0.75/1.40
% 0.75/1.40 eqswap(
% 0.75/1.40 clause( 4299, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 0.75/1.40 , clause( 3857, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 0.75/1.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.40
% 0.75/1.40
% 0.75/1.40 subsumption(
% 0.75/1.40 clause( 47, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 0.75/1.40 , clause( 4299, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 0.75/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.75/1.40 )] ) ).
% 0.75/1.40
% 0.75/1.40
% 0.75/1.40 subsumption(
% 0.75/1.40 clause( 50, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 0.75/1.40 , clause( 3860, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 0.75/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.40 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.75/1.40
% 0.75/1.40
% 0.75/1.40 subsumption(
% 0.75/1.40 clause( 89, [ ~( colinear( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 0.75/1.40 , clause( 3903, [ ~( colinear( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 0.75/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.40 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.75/1.40
% 0.75/1.40
% 0.75/1.40 subsumption(
% 0.75/1.40 clause( 90, [ ~( colinear( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 0.75/1.40 , clause( 3904, [ ~( colinear( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 0.75/1.40 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.75/1.40 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.75/1.40
% 0.75/1.40
% 0.75/1.40 subsumption(
% 0.75/1.40 clause( 91, [ colinear( 'lower_dimension_point_1',
% 0.75/1.40 'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 0.75/1.40 , clause( 3905, [ colinear( 'lower_dimension_point_1',
% 0.75/1.40 'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 0.75/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.40
% 0.75/1.40
% 0.75/1.40 resolution(
% 0.75/1.40 clause( 5044, [ colinear( 'lower_dimension_point_2',
% 0.75/1.40 'lower_dimension_point_1', 'lower_dimension_point_3' ) ] )
% 0.75/1.40 , clause( 90, [ ~( colinear( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 0.75/1.40 , 0, clause( 91, [ colinear( 'lower_dimension_point_1',
% 0.75/1.40 'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 0.75/1.40 , 0, substitution( 0, [ :=( X, 'lower_dimension_point_1' ), :=( Y,
% 0.75/1.40 'lower_dimension_point_2' ), :=( Z, 'lower_dimension_point_3' )] ),
% 0.75/1.40 substitution( 1, [] )).
% 0.75/1.40
% 0.75/1.40
% 0.75/1.40 subsumption(
% 0.75/1.40 clause( 541, [ colinear( 'lower_dimension_point_2',
% 0.75/1.40 'lower_dimension_point_1', 'lower_dimension_point_3' ) ] )
% 0.75/1.40 , clause( 5044, [ colinear( 'lower_dimension_point_2',
% 0.75/1.40 'lower_dimension_point_1', 'lower_dimension_point_3' ) ] )
% 0.75/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.40
% 0.75/1.40
% 0.75/1.40 resolution(
% 0.75/1.40 clause( 5045, [ colinear( 'lower_dimension_point_3',
% 0.75/1.40 'lower_dimension_point_2', 'lower_dimension_point_1' ) ] )
% 0.75/1.40 , clause( 89, [ ~( colinear( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 0.75/1.40 , 0, clause( 541, [ colinear( 'lower_dimension_point_2',
% 0.75/1.40 'lower_dimension_point_1', 'lower_dimension_point_3' ) ] )
% 0.75/1.40 , 0, substitution( 0, [ :=( X, 'lower_dimension_point_2' ), :=( Y,
% 0.75/1.40 'lower_dimension_point_1' ), :=( Z, 'lower_dimension_point_3' )] ),
% 0.75/1.40 substitution( 1, [] )).
% 0.75/1.40
% 0.75/1.40
% 0.75/1.40 subsumption(
% 0.75/1.40 clause( 554, [ colinear( 'lower_dimension_point_3',
% 0.75/1.40 'lower_dimension_point_2', 'lower_dimension_point_1' ) ] )
% 0.75/1.40 , clause( 5045, [ colinear( 'lower_dimension_point_3',
% 0.75/1.40 'lower_dimension_point_2', 'lower_dimension_point_1' ) ] )
% 0.75/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.40
% 0.75/1.40
% 0.75/1.40 resolution(
% 0.75/1.40 clause( 5046, [ colinear( 'lower_dimension_point_1',
% 0.75/1.40 'lower_dimension_point_3', 'lower_dimension_point_2' ) ] )
% 0.75/1.40 , clause( 89, [ ~( colinear( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 0.75/1.40 , 0, clause( 554, [ colinear( 'lower_dimension_point_3',
% 0.75/1.40 'lower_dimension_point_2', 'lower_dimension_point_1' ) ] )
% 0.75/1.40 , 0, substitution( 0, [ :=( X, 'lower_dimension_point_3' ), :=( Y,
% 0.75/1.40 'lower_dimension_point_2' ), :=( Z, 'lower_dimension_point_1' )] ),
% 0.75/1.40 substitution( 1, [] )).
% 0.75/1.40
% 0.75/1.40
% 0.75/1.40 subsumption(
% 0.75/1.40 clause( 643, [ colinear( 'lower_dimension_point_1',
% 0.75/1.40 'lower_dimension_point_3', 'lower_dimension_point_2' ) ] )
% 0.75/1.40 , clause( 5046, [ colinear( 'lower_dimension_point_1',
% 0.75/1.40 'lower_dimension_point_3', 'lower_dimension_point_2' ) ] )
% 0.75/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.40
% 0.75/1.40
% 0.75/1.40 resolution(
% 0.75/1.40 clause( 5047, [ ~( between( 'lower_dimension_point_3',
% 0.75/1.40 'lower_dimension_point_2', 'lower_dimension_point_1' ) ) ] )
% 0.75/1.40 , clause( 9, [ ~( between( 'lower_dimension_point_1',
% 0.75/1.40 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.75/1.40 , 0, clause( 50, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 0.75/1.40 , 1, substitution( 0, [] ), substitution( 1, [ :=( X,
% 0.75/1.40 'lower_dimension_point_3' ), :=( Y, 'lower_dimension_point_2' ), :=( Z,
% 0.75/1.40 'lower_dimension_point_1' )] )).
% 0.75/1.40
% 0.75/1.40
% 0.75/1.40 subsumption(
% 0.75/1.40 clause( 1102, [ ~( between( 'lower_dimension_point_3',
% 0.75/1.40 'lower_dimension_point_2', 'lower_dimension_point_1' ) ) ] )
% 0.75/1.40 , clause( 5047, [ ~( between( 'lower_dimension_point_3',
% 0.75/1.40 'lower_dimension_point_2', 'lower_dimension_point_1' ) ) ] )
% 0.75/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.40
% 0.75/1.40
% 0.75/1.40 resolution(
% 0.75/1.40 clause( 5048, [ ~( between( 'lower_dimension_point_1',
% 0.75/1.40 'lower_dimension_point_3', 'lower_dimension_point_2' ) ) ] )
% 0.75/1.40 , clause( 10, [ ~( between( 'lower_dimension_point_2',
% 0.75/1.40 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.75/1.40 , 0, clause( 50, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 0.75/1.40 , 1, substitution( 0, [] ), substitution( 1, [ :=( X,
% 0.75/1.40 'lower_dimension_point_1' ), :=( Y, 'lower_dimension_point_3' ), :=( Z,
% 0.75/1.40 'lower_dimension_point_2' )] )).
% 0.75/1.40
% 0.75/1.40
% 0.75/1.40 subsumption(
% 0.75/1.40 clause( 1103, [ ~( between( 'lower_dimension_point_1',
% 0.75/1.40 'lower_dimension_point_3', 'lower_dimension_point_2' ) ) ] )
% 0.75/1.40 , clause( 5048, [ ~( between( 'lower_dimension_point_1',
% 0.75/1.40 'lower_dimension_point_3', 'lower_dimension_point_2' ) ) ] )
% 0.75/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.40
% 0.75/1.40
% 0.75/1.40 resolution(
% 0.75/1.40 clause( 5049, [ ~( between( 'lower_dimension_point_2',
% 0.75/1.40 'lower_dimension_point_1', 'lower_dimension_point_3' ) ) ] )
% 0.75/1.40 , clause( 11, [ ~( between( 'lower_dimension_point_3',
% 0.75/1.40 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.75/1.40 , 0, clause( 50, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 0.75/1.40 , 1, substitution( 0, [] ), substitution( 1, [ :=( X,
% 0.75/1.40 'lower_dimension_point_2' ), :=( Y, 'lower_dimension_point_1' ), :=( Z,
% 0.75/1.40 'lower_dimension_point_3' )] )).
% 0.75/1.40
% 0.75/1.40
% 0.75/1.40 subsumption(
% 0.75/1.40 clause( 1104, [ ~( between( 'lower_dimension_point_2',
% 0.75/1.40 'lower_dimension_point_1', 'lower_dimension_point_3' ) ) ] )
% 0.75/1.40 , clause( 5049, [ ~( between( 'lower_dimension_point_2',
% 0.75/1.40 'lower_dimension_point_1', 'lower_dimension_point_3' ) ) ] )
% 0.75/1.40 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.75/1.40
% 0.75/1.40
% 0.75/1.40 eqswap(
% 0.75/1.40 clause( 5050, [ ~( =( Y, X ) ), =( reflection( X, Y ), Y ) ] )
% 0.75/1.40 , clause( 37, [ ~( =( X, Y ) ), =( reflection( X, Y ), Y ) ] )
% 0.75/1.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.40
% 0.75/1.40
% 0.75/1.40 eqswap(
% 0.75/1.40 clause( 5053, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 0.75/1.40 , clause( 47, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 0.75/1.40 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.75/1.40
% 0.75/1.40
% 0.75/1.40 paramod(
% 0.75/1.40 clause( 5056, [ =( X, reflection( Y, Y ) ), ~( =( Y, X ) ) ] )
% 0.75/1.40 , clause( 5050, [ ~( =( Y, X ) ), =( reflection( X, Y ), Y ) ] )
% 0.75/1.40 , 1, clause( 5053, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 0.75/1.40 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 0.75/1.40 :=( X, X ), :=( Y, Y )] )).
% 0.75/1.40
% 0.75/1.40
% 0.75/1.40 paramod(
% 0.75/1.40 clause( 5059, [ =( X, Y ), ~( =( Y, X ) ) ] )
% 0.75/1.40 , clause( 38, [ =( reflection( X, X ), X ) ] )
% 0.75/1.40 , 0, clause( 5056, [ =( X, reflection( Y, Y ) ), ~( =( Y, X ) ) ] )
% 0.75/1.40 , 0, 2, sCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------