TSTP Solution File: GEO053-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO053-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:51:13 EDT 2022
% Result : Unsatisfiable 6.80s 7.18s
% Output : Refutation 6.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO053-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Fri Jun 17 16:06:49 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.72/1.12 *** allocated 10000 integers for termspace/termends
% 0.72/1.12 *** allocated 10000 integers for clauses
% 0.72/1.12 *** allocated 10000 integers for justifications
% 0.72/1.12 Bliksem 1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Automatic Strategy Selection
% 0.72/1.12
% 0.72/1.12 Clauses:
% 0.72/1.12 [
% 0.72/1.12 [ equidistant( X, Y, Y, X ) ],
% 0.72/1.12 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 0.72/1.12 equidistant( Z, T, U, W ) ],
% 0.72/1.12 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.72/1.12 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.72/1.12 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.72/1.12 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.72/1.12 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 0.72/1.12 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.72/1.12 , V0, W, V1 ) ],
% 0.72/1.12 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.72/1.12 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 0.72/1.12 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.72/1.12 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 0.72/1.12 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.72/1.12 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.72/1.12 'lower_dimension_point_3' ) ) ],
% 0.72/1.12 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.72/1.12 'lower_dimension_point_1' ) ) ],
% 0.72/1.12 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.72/1.12 'lower_dimension_point_2' ) ) ],
% 0.72/1.12 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 0.72/1.12 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 0.72/1.12 between( U, X, T ), =( Y, Z ) ],
% 0.72/1.12 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.72/1.12 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.72/1.12 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.72/1.12 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.72/1.12 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.72/1.12 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.72/1.12 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.72/1.12 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.72/1.12 , Y, Z, W, T, U ), U ) ],
% 0.72/1.12 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.72/1.12 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 0.72/1.12 continuous( X, Y, Z, W, T, U ) ) ],
% 0.72/1.12 [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ],
% 0.72/1.12 [ =( insertion( X, Y, Z, T ), extension( extension( Y, X,
% 0.72/1.12 'lower_dimension_point_1', 'lower_dimension_point_2' ), X, Z, T ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ equidistant( X, Y, X, Y ) ],
% 0.72/1.12 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ],
% 0.72/1.12 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ],
% 0.72/1.12 [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z ) ],
% 0.72/1.12 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z ) ],
% 0.72/1.12 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X ) ],
% 0.72/1.12 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y ) ],
% 0.72/1.12 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X ) ],
% 0.72/1.12 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U, W ) ),
% 0.72/1.12 equidistant( X, Y, U, W ) ],
% 0.72/1.12 [ =( X, extension( Y, X, Z, Z ) ) ],
% 0.72/1.12 [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ],
% 0.72/1.12 [ between( X, Y, reflection( X, Y ) ) ],
% 0.72/1.12 [ equidistant( X, reflection( Y, X ), Y, X ) ],
% 0.72/1.12 [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ],
% 0.72/1.12 [ =( X, reflection( X, X ) ) ],
% 0.72/1.12 [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ],
% 0.72/1.12 [ equidistant( X, X, Y, Y ) ],
% 0.72/1.12 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.72/1.12 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X, U, Z, W )
% 0.72/1.12 ],
% 0.72/1.12 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~( equidistant( Y, Z
% 0.72/1.12 , Y, T ) ), =( X, Y ), =( Z, T ) ],
% 0.72/1.12 [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, Y, Y, Z ) ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y ), extension(
% 0.72/1.12 U, W, Z, T ) ), =( U, W ) ],
% 0.72/1.12 [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ), =( X, Y ) ]
% 0.72/1.12 ,
% 0.72/1.12 [ equidistant( X, Y, X, reflection( reflection( Y, X ), X ) ) ],
% 0.72/1.12 [ =( X, reflection( reflection( X, Y ), Y ) ) ],
% 0.72/1.12 [ between( X, Y, Y ) ],
% 0.72/1.12 [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z ) ],
% 6.80/7.18 [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ],
% 6.80/7.18 [ between( X, X, Y ) ],
% 6.80/7.18 [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ) ],
% 6.80/7.18 [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, Z ) ],
% 6.80/7.18 [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ), =( Y, Z )
% 6.80/7.18 ],
% 6.80/7.18 [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X, Y ), =( Y, Z )
% 6.80/7.18 ],
% 6.80/7.18 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, Z ) ]
% 6.80/7.18 ,
% 6.80/7.18 [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( Y, Z, T ) ]
% 6.80/7.18 ,
% 6.80/7.18 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Z, T ),
% 6.80/7.18 =( Y, Z ) ],
% 6.80/7.18 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, T ),
% 6.80/7.18 =( Y, Z ) ],
% 6.80/7.18 [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X, T, Z ) ]
% 6.80/7.18 ,
% 6.80/7.18 [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( X, Y, T ) ]
% 6.80/7.18 ,
% 6.80/7.18 [ ~( =( 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ],
% 6.80/7.18 [ ~( =( 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ],
% 6.80/7.18 [ ~( =( 'lower_dimension_point_1', 'lower_dimension_point_3' ) ) ],
% 6.80/7.18 [ ~( =( X, extension( Y, X, 'lower_dimension_point_1',
% 6.80/7.18 'lower_dimension_point_2' ) ) ) ],
% 6.80/7.18 [ equidistant( X, extension( Y, X, 'lower_dimension_point_1',
% 6.80/7.18 'lower_dimension_point_2' ), Z, extension( T, Z,
% 6.80/7.18 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ],
% 6.80/7.18 [ between( X, Y, extension( X, Y, 'lower_dimension_point_1',
% 6.80/7.18 'lower_dimension_point_2' ) ) ],
% 6.80/7.18 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), ~( between( X, W, T
% 6.80/7.18 ) ), between( W, 'inner_pasch'( U, 'inner_pasch'( X, W, T, U, Z ), X, Y
% 6.80/7.18 , Z ), Z ), between( Y, 'inner_pasch'( U, 'inner_pasch'( X, W, T, U, Z )
% 6.80/7.18 , X, Y, Z ), U ) ],
% 6.80/7.18 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, X, T ) ), ~(
% 6.80/7.18 equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ],
% 6.80/7.18 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, U, Z, W ) ), ~(
% 6.80/7.18 equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) ), ~(
% 6.80/7.18 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T, V1
% 6.80/7.18 ) ],
% 6.80/7.18 [ ~( between( X, Y, Z ) ), ~( between( T, U, W ) ), ~( equidistant( X, Y
% 6.80/7.18 , T, U ) ), ~( equidistant( X, Z, T, W ) ), equidistant( Y, Z, U, W ) ]
% 6.80/7.18 ,
% 6.80/7.18 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 6.80/7.18 equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) ), ~(
% 6.80/7.18 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T, V1
% 6.80/7.18 ) ],
% 6.80/7.18 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, T ) ), ~(
% 6.80/7.18 equidistant( Z, Y, Z, T ) ), =( Y, T ) ],
% 6.80/7.18 [ equidistant( X, Y, Z, insertion( Z, T, X, Y ) ) ],
% 6.80/7.18 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ), between( T,
% 6.80/7.18 insertion( T, U, X, Y ), U ) ],
% 6.80/7.18 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ), equidistant(
% 6.80/7.18 Y, Z, insertion( T, U, X, Y ), U ) ],
% 6.80/7.18 [ ~( between( X, Y, Z ) ), =( Y, insertion( X, Z, X, Y ) ) ],
% 6.80/7.18 [ ~( equidistant( X, Y, Z, T ) ), =( insertion( U, W, X, Y ), insertion(
% 6.80/7.18 U, W, Z, T ) ) ],
% 6.80/7.18 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 6.80/7.18 equidistant( X, U, Z, W ) ), ~( between( X, Y, U ) ), between( Z, T, W )
% 6.80/7.18 ],
% 6.80/7.18 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between(
% 6.80/7.18 X, Z, T ), between( X, T, Z ) ],
% 6.80/7.18 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between(
% 6.80/7.18 Y, Z, T ), between( Y, T, Z ) ],
% 6.80/7.18 [ ~( between( X, Y, Z ) ), ~( between( T, Y, Z ) ), =( Y, Z ), between(
% 6.80/7.18 X, T, Y ), between( T, X, Y ) ],
% 6.80/7.18 [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between( X, Y, T ),
% 6.80/7.18 between( X, T, Y ) ],
% 6.80/7.18 [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between( Y, T, Z ),
% 6.80/7.18 between( T, Y, Z ) ],
% 6.80/7.18 [ ~( between( X, Y, Z ) ), ~( between( Y, T, U ) ), ~( between( X, U, Z
% 6.80/7.18 ) ), between( X, T, Z ) ],
% 6.80/7.18 [ between( u, v, w ) ],
% 6.80/7.18 [ equidistant( u, v, u, w ) ],
% 6.80/7.18 [ ~( =( v, w ) ) ]
% 6.80/7.18 ] .
% 6.80/7.18
% 6.80/7.18
% 6.80/7.18 percentage equality = 0.194570, percentage horn = 0.777778
% 6.80/7.18 This is a problem with some equality
% 6.80/7.18
% 6.80/7.18
% 6.80/7.18
% 6.80/7.18 Options Used:
% 6.80/7.18
% 6.80/7.18 useres = 1
% 6.80/7.18 useparamod = 1
% 6.80/7.18 useeqrefl = 1
% 6.80/7.18 useeqfact = 1
% 6.80/7.18 usefactor = 1
% 6.80/7.18 usesimpsplitting = 0
% 6.80/7.18 usesimpdemod = 5
% 6.80/7.18 usesimpres = 3
% 6.80/7.18
% 6.80/7.18 resimpinuse = 1000
% 6.80/7.18 resimpclauses = 20000
% 6.80/7.18 substype = eqrewr
% 6.80/7.18 backwardsubs = 1
% 6.80/7.18 selectoldest = 5
% 6.80/7.18
% 6.80/7.18 litorderings [0] = split
% 6.80/7.18 litorderings [1] = extend the termordering, first sorting on arguments
% 6.80/7.18
% 6.80/7.18 termordering = kbo
% 6.80/7.18
% 6.80/7.18 litapriori = 0
% 6.80/7.18 termapriori = 1
% 6.80/7.18 litaposteriori = 0
% 6.80/7.18 termaposteriori = 0
% 6.80/7.18 demodaposteriori = 0
% 6.80/7.18 ordereqreflfact = 0
% 6.80/7.18
% 6.80/7.18 litselect = negord
% 6.80/7.18
% 6.80/7.18 maxweight = 15
% 6.80/7.18 maxdepth = 30000
% 6.80/7.18 maxlength = 115
% 6.80/7.18 maxnrvars = 195
% 6.80/7.18 excuselevel = 1
% 6.80/7.18 increasemaxweight = 1
% 6.80/7.18
% 6.80/7.18 maxselected = 10000000
% 6.80/7.18 maxnrclauses = 10000000
% 6.80/7.18
% 6.80/7.18 showgenerated = 0
% 6.80/7.18 showkept = 0
% 6.80/7.18 showselected = 0
% 6.80/7.18 showdeleted = 0
% 6.80/7.18 showresimp = 1
% 6.80/7.18 showstatus = 2000
% 6.80/7.18
% 6.80/7.18 prologoutput = 1
% 6.80/7.18 nrgoals = 5000000
% 6.80/7.18 totalproof = 1
% 6.80/7.18
% 6.80/7.18 Symbols occurring in the translation:
% 6.80/7.18
% 6.80/7.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 6.80/7.18 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 6.80/7.18 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 6.80/7.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.80/7.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.80/7.18 equidistant [41, 4] (w:1, o:60, a:1, s:1, b:0),
% 6.80/7.18 extension [46, 4] (w:1, o:61, a:1, s:1, b:0),
% 6.80/7.18 between [47, 3] (w:1, o:59, a:1, s:1, b:0),
% 6.80/7.18 'inner_pasch' [53, 5] (w:1, o:63, a:1, s:1, b:0),
% 6.80/7.18 'lower_dimension_point_1' [54, 0] (w:1, o:22, a:1, s:1, b:0),
% 6.80/7.18 'lower_dimension_point_2' [55, 0] (w:1, o:23, a:1, s:1, b:0),
% 6.80/7.18 'lower_dimension_point_3' [56, 0] (w:1, o:24, a:1, s:1, b:0),
% 6.80/7.18 euclid1 [57, 5] (w:1, o:64, a:1, s:1, b:0),
% 6.80/7.18 euclid2 [58, 5] (w:1, o:65, a:1, s:1, b:0),
% 6.80/7.18 continuous [59, 6] (w:1, o:66, a:1, s:1, b:0),
% 6.80/7.18 reflection [60, 2] (w:1, o:58, a:1, s:1, b:0),
% 6.80/7.18 insertion [63, 4] (w:1, o:62, a:1, s:1, b:0),
% 6.80/7.18 u [64, 0] (w:1, o:25, a:1, s:1, b:0),
% 6.80/7.18 v [65, 0] (w:1, o:26, a:1, s:1, b:0),
% 6.80/7.18 w [66, 0] (w:1, o:27, a:1, s:1, b:0).
% 6.80/7.18
% 6.80/7.18
% 6.80/7.18 Starting Search:
% 6.80/7.18
% 6.80/7.18 Resimplifying inuse:
% 6.80/7.18 Done
% 6.80/7.18
% 6.80/7.18
% 6.80/7.18 Intermediate Status:
% 6.80/7.18 Generated: 9184
% 6.80/7.18 Kept: 2011
% 6.80/7.18 Inuse: 119
% 6.80/7.18 Deleted: 0
% 6.80/7.18 Deletedinuse: 0
% 6.80/7.18
% 6.80/7.18 Resimplifying inuse:
% 6.80/7.18 Done
% 6.80/7.18
% 6.80/7.18 Resimplifying inuse:
% 6.80/7.18 Done
% 6.80/7.18
% 6.80/7.18
% 6.80/7.18 Intermediate Status:
% 6.80/7.18 Generated: 19527
% 6.80/7.18 Kept: 4270
% 6.80/7.18 Inuse: 161
% 6.80/7.18 Deleted: 0
% 6.80/7.18 Deletedinuse: 0
% 6.80/7.18
% 6.80/7.18 Resimplifying inuse:
% 6.80/7.18 Done
% 6.80/7.18
% 6.80/7.18 Resimplifying inuse:
% 6.80/7.18 Done
% 6.80/7.18
% 6.80/7.18
% 6.80/7.18 Intermediate Status:
% 6.80/7.18 Generated: 30000
% 6.80/7.18 Kept: 6348
% 6.80/7.18 Inuse: 195
% 6.80/7.18 Deleted: 1
% 6.80/7.18 Deletedinuse: 0
% 6.80/7.18
% 6.80/7.18 Resimplifying inuse:
% 6.80/7.18 Done
% 6.80/7.18
% 6.80/7.18 Resimplifying inuse:
% 6.80/7.18 Done
% 6.80/7.18
% 6.80/7.18
% 6.80/7.18 Intermediate Status:
% 6.80/7.18 Generated: 42789
% 6.80/7.18 Kept: 8393
% 6.80/7.18 Inuse: 227
% 6.80/7.18 Deleted: 1
% 6.80/7.18 Deletedinuse: 0
% 6.80/7.18
% 6.80/7.18 Resimplifying inuse:
% 6.80/7.18 Done
% 6.80/7.18
% 6.80/7.18 Resimplifying inuse:
% 6.80/7.18 Done
% 6.80/7.18
% 6.80/7.18
% 6.80/7.18 Intermediate Status:
% 6.80/7.18 Generated: 54104
% 6.80/7.18 Kept: 10434
% 6.80/7.18 Inuse: 261
% 6.80/7.18 Deleted: 1
% 6.80/7.18 Deletedinuse: 0
% 6.80/7.18
% 6.80/7.18 Resimplifying inuse:
% 6.80/7.18 Done
% 6.80/7.18
% 6.80/7.18 Resimplifying inuse:
% 6.80/7.18 Done
% 6.80/7.18
% 6.80/7.18
% 6.80/7.18 Intermediate Status:
% 6.80/7.18 Generated: 71960
% 6.80/7.18 Kept: 12436
% 6.80/7.18 Inuse: 297
% 6.80/7.18 Deleted: 1
% 6.80/7.18 Deletedinuse: 0
% 6.80/7.18
% 6.80/7.18 Resimplifying inuse:
% 6.80/7.18 Done
% 6.80/7.18
% 6.80/7.18 Resimplifying inuse:
% 6.80/7.18 Done
% 6.80/7.18
% 6.80/7.18
% 6.80/7.18 Intermediate Status:
% 6.80/7.18 Generated: 88182
% 6.80/7.18 Kept: 14459
% 6.80/7.18 Inuse: 353
% 6.80/7.18 Deleted: 8
% 6.80/7.18 Deletedinuse: 1
% 6.80/7.18
% 6.80/7.18 Resimplifying inuse:
% 6.80/7.18 Done
% 6.80/7.18
% 6.80/7.18 Resimplifying inuse:
% 6.80/7.18 Done
% 6.80/7.18
% 6.80/7.18
% 6.80/7.18 Intermediate Status:
% 6.80/7.18 Generated: 105512
% 6.80/7.18 Kept: 16518
% 6.80/7.18 Inuse: 415
% 6.80/7.18 Deleted: 17
% 6.80/7.18 Deletedinuse: 1
% 6.80/7.18
% 6.80/7.18 Resimplifying inuse:
% 6.80/7.18 Done
% 6.80/7.18
% 6.80/7.18 Resimplifying inuse:
% 6.80/7.18 Done
% 6.80/7.18
% 6.80/7.18
% 6.80/7.18 Intermediate Status:
% 6.80/7.18 Generated: 119098
% 6.80/7.18 Kept: 18552
% 6.80/7.18 Inuse: 458
% 6.80/7.18 Deleted: 18
% 6.80/7.18 Deletedinuse: 1
% 6.80/7.18
% 6.80/7.18 Resimplifying inuse:
% 6.80/7.18 Done
% 6.80/7.18
% 6.80/7.18 Resimplifying inuse:
% 6.80/7.18 Done
% 6.80/7.18
% 6.80/7.18 Resimplifying clauses:
% 6.80/7.18 Done
% 6.80/7.18
% 6.80/7.18
% 6.80/7.18 Bliksems!, er is een bewijs:
% 6.80/7.18 % SZS status Unsatisfiable
% 6.80/7.18 % SZS output start Refutation
% 6.80/7.18
% 6.80/7.18 clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 21, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ]
% 6.80/7.18 )
% 6.80/7.18 .
% 6.80/7.18 clause( 29, [ =( extension( Y, X, Z, Z ), X ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 30, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 31, [ between( X, Y, reflection( X, Y ) ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 35, [ ~( =( reflection( Y, X ), X ) ), =( Y, X ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 38, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~(
% 6.80/7.18 equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 43, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 46, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 47, [ between( X, X, Y ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 49, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, Z ) ]
% 6.80/7.18 )
% 6.80/7.18 .
% 6.80/7.18 clause( 52, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X
% 6.80/7.18 , Y, T ), =( Y, Z ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 78, [ between( u, v, w ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 79, [ equidistant( u, v, u, w ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 80, [ ~( =( w, v ) ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 271, [ ~( =( X, v ) ), ~( between( w, X, w ) ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 695, [ between( reflection( X, Y ), Y, X ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 834, [ between( w, v, u ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 1000, [ between( X, v, u ), ~( between( w, X, w ) ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 1340, [ ~( between( w, u, w ) ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 1393, [ equidistant( u, w, u, v ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 2205, [ ~( =( T, Y ) ), between( X, Y, T ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 2215, [ ~( =( w, u ) ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 2228, [ ~( =( X, u ) ), ~( equidistant( X, w, Y, Y ) ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 2229, [ ~( equidistant( u, w, X, X ) ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 3141, [ ~( between( X, u, w ) ), ~( between( X, u, v ) ), =( X, u )
% 6.80/7.18 , =( w, v ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 5164, [ ~( between( w, u, v ) ), =( v, u ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 6253, [ ~( between( X, u, v ) ), between( X, u, w ), =( v, u ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 12117, [ ~( between( w, u, v ) ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 12136, [ ~( =( v, u ) ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 12195, [ ~( =( X, u ) ), ~( =( reflection( v, X ), X ) ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 12210, [ ~( =( reflection( v, u ), u ) ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 20050, [ ~( between( X, u, v ) ), between( X, u, w ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 20059, [ ~( between( X, u, v ) ), =( X, u ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 20083, [ =( reflection( v, u ), u ) ] )
% 6.80/7.18 .
% 6.80/7.18 clause( 20383, [] )
% 6.80/7.18 .
% 6.80/7.18
% 6.80/7.18
% 6.80/7.18 % SZS output end Refutation
% 6.80/7.18 found a proof!
% 6.80/7.18
% 6.80/7.18 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 6.80/7.18
% 6.80/7.18 initialclauses(
% 6.80/7.18 [ clause( 20385, [ equidistant( X, Y, Y, X ) ] )
% 6.80/7.18 , clause( 20386, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 6.80/7.18 , W ) ), equidistant( Z, T, U, W ) ] )
% 6.80/7.18 , clause( 20387, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 6.80/7.18 , clause( 20388, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 6.80/7.18 , clause( 20389, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 6.80/7.18 , clause( 20390, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 6.80/7.18 , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 6.80/7.18 ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 6.80/7.18 equidistant( U, V0, W, V1 ) ] )
% 6.80/7.18 , clause( 20391, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 6.80/7.18 , clause( 20392, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 6.80/7.18 between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 6.80/7.18 , clause( 20393, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 6.80/7.18 between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 6.80/7.18 , clause( 20394, [ ~( between( 'lower_dimension_point_1',
% 6.80/7.18 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 6.80/7.18 , clause( 20395, [ ~( between( 'lower_dimension_point_2',
% 6.80/7.18 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 6.80/7.18 , clause( 20396, [ ~( between( 'lower_dimension_point_3',
% 6.80/7.18 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 6.80/7.18 , clause( 20397, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 6.80/7.18 , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T,
% 6.80/7.18 U, X ), between( U, X, T ), =( Y, Z ) ] )
% 6.80/7.18 , clause( 20398, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 6.80/7.18 Y ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 6.80/7.18 , clause( 20399, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 6.80/7.18 Y ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 6.80/7.18 , clause( 20400, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 6.80/7.18 Y ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ]
% 6.80/7.18 )
% 6.80/7.18 , clause( 20401, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 6.80/7.18 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 6.80/7.18 continuous( X, Y, Z, W, T, U ), U ) ] )
% 6.80/7.18 , clause( 20402, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 6.80/7.18 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 6.80/7.18 , W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 6.80/7.18 , clause( 20403, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 6.80/7.18 , clause( 20404, [ =( insertion( X, Y, Z, T ), extension( extension( Y, X,
% 6.80/7.18 'lower_dimension_point_1', 'lower_dimension_point_2' ), X, Z, T ) ) ] )
% 6.80/7.18 , clause( 20405, [ equidistant( X, Y, X, Y ) ] )
% 6.80/7.18 , clause( 20406, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y
% 6.80/7.18 ) ] )
% 6.80/7.18 , clause( 20407, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T
% 6.80/7.18 ) ] )
% 6.80/7.18 , clause( 20408, [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z
% 6.80/7.18 ) ] )
% 6.80/7.18 , clause( 20409, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z
% 6.80/7.18 ) ] )
% 6.80/7.18 , clause( 20410, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X
% 6.80/7.18 ) ] )
% 6.80/7.18 , clause( 20411, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y
% 6.80/7.18 ) ] )
% 6.80/7.18 , clause( 20412, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X
% 6.80/7.18 ) ] )
% 6.80/7.18 , clause( 20413, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U
% 6.80/7.18 , W ) ), equidistant( X, Y, U, W ) ] )
% 6.80/7.18 , clause( 20414, [ =( X, extension( Y, X, Z, Z ) ) ] )
% 6.80/7.18 , clause( 20415, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X )
% 6.80/7.18 ] )
% 6.80/7.18 , clause( 20416, [ between( X, Y, reflection( X, Y ) ) ] )
% 6.80/7.18 , clause( 20417, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 6.80/7.18 , clause( 20418, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 6.80/7.18 , clause( 20419, [ =( X, reflection( X, X ) ) ] )
% 6.80/7.18 , clause( 20420, [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ] )
% 6.80/7.18 , clause( 20421, [ equidistant( X, X, Y, Y ) ] )
% 6.80/7.18 , clause( 20422, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 6.80/7.18 , W ) ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X
% 6.80/7.18 , U, Z, W ) ] )
% 6.80/7.18 , clause( 20423, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~(
% 6.80/7.18 equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 6.80/7.18 , clause( 20424, [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X,
% 6.80/7.18 Y, Y, Z ) ) ] )
% 6.80/7.18 , clause( 20425, [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y
% 6.80/7.18 ), extension( U, W, Z, T ) ), =( U, W ) ] )
% 6.80/7.18 , clause( 20426, [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ),
% 6.80/7.18 =( X, Y ) ] )
% 6.80/7.18 , clause( 20427, [ equidistant( X, Y, X, reflection( reflection( Y, X ), X
% 6.80/7.18 ) ) ] )
% 6.80/7.18 , clause( 20428, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 6.80/7.18 , clause( 20429, [ between( X, Y, Y ) ] )
% 6.80/7.18 , clause( 20430, [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y,
% 6.80/7.18 Z ) ] )
% 6.80/7.18 , clause( 20431, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 6.80/7.18 , clause( 20432, [ between( X, X, Y ) ] )
% 6.80/7.18 , clause( 20433, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X,
% 6.80/7.18 Y ) ] )
% 6.80/7.18 , clause( 20434, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y,
% 6.80/7.18 Z ) ] )
% 6.80/7.18 , clause( 20435, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X,
% 6.80/7.18 Y ), =( Y, Z ) ] )
% 6.80/7.18 , clause( 20436, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X,
% 6.80/7.18 Y ), =( Y, Z ) ] )
% 6.80/7.18 , clause( 20437, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ),
% 6.80/7.18 between( X, Y, Z ) ] )
% 6.80/7.18 , clause( 20438, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ),
% 6.80/7.18 between( Y, Z, T ) ] )
% 6.80/7.18 , clause( 20439, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ),
% 6.80/7.18 between( X, Z, T ), =( Y, Z ) ] )
% 6.80/7.18 , clause( 20440, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ),
% 6.80/7.18 between( X, Y, T ), =( Y, Z ) ] )
% 6.80/7.18 , clause( 20441, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ),
% 6.80/7.18 between( X, T, Z ) ] )
% 6.80/7.18 , clause( 20442, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ),
% 6.80/7.18 between( X, Y, T ) ] )
% 6.80/7.18 , clause( 20443, [ ~( =( 'lower_dimension_point_1',
% 6.80/7.18 'lower_dimension_point_2' ) ) ] )
% 6.80/7.18 , clause( 20444, [ ~( =( 'lower_dimension_point_2',
% 6.80/7.18 'lower_dimension_point_3' ) ) ] )
% 6.80/7.18 , clause( 20445, [ ~( =( 'lower_dimension_point_1',
% 6.80/7.18 'lower_dimension_point_3' ) ) ] )
% 6.80/7.18 , clause( 20446, [ ~( =( X, extension( Y, X, 'lower_dimension_point_1',
% 6.80/7.18 'lower_dimension_point_2' ) ) ) ] )
% 6.80/7.18 , clause( 20447, [ equidistant( X, extension( Y, X,
% 6.80/7.18 'lower_dimension_point_1', 'lower_dimension_point_2' ), Z, extension( T,
% 6.80/7.18 Z, 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 6.80/7.18 , clause( 20448, [ between( X, Y, extension( X, Y,
% 6.80/7.18 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 6.80/7.18 , clause( 20449, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), ~(
% 6.80/7.18 between( X, W, T ) ), between( W, 'inner_pasch'( U, 'inner_pasch'( X, W,
% 6.80/7.18 T, U, Z ), X, Y, Z ), Z ), between( Y, 'inner_pasch'( U, 'inner_pasch'( X
% 6.80/7.18 , W, T, U, Z ), X, Y, Z ), U ) ] )
% 6.80/7.18 , clause( 20450, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, X, T ) )
% 6.80/7.18 , ~( equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 6.80/7.18 , clause( 20451, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, U, Z
% 6.80/7.18 , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 )
% 6.80/7.18 ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0
% 6.80/7.18 , T, V1 ) ] )
% 6.80/7.18 , clause( 20452, [ ~( between( X, Y, Z ) ), ~( between( T, U, W ) ), ~(
% 6.80/7.18 equidistant( X, Y, T, U ) ), ~( equidistant( X, Z, T, W ) ), equidistant(
% 6.80/7.18 Y, Z, U, W ) ] )
% 6.80/7.18 , clause( 20453, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 6.80/7.18 , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 )
% 6.80/7.18 ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0
% 6.80/7.18 , T, V1 ) ] )
% 6.80/7.18 , clause( 20454, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, T ) )
% 6.80/7.18 , ~( equidistant( Z, Y, Z, T ) ), =( Y, T ) ] )
% 6.80/7.18 , clause( 20455, [ equidistant( X, Y, Z, insertion( Z, T, X, Y ) ) ] )
% 6.80/7.18 , clause( 20456, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) )
% 6.80/7.18 , between( T, insertion( T, U, X, Y ), U ) ] )
% 6.80/7.18 , clause( 20457, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) )
% 6.80/7.18 , equidistant( Y, Z, insertion( T, U, X, Y ), U ) ] )
% 6.80/7.18 , clause( 20458, [ ~( between( X, Y, Z ) ), =( Y, insertion( X, Z, X, Y ) )
% 6.80/7.18 ] )
% 6.80/7.18 , clause( 20459, [ ~( equidistant( X, Y, Z, T ) ), =( insertion( U, W, X, Y
% 6.80/7.18 ), insertion( U, W, Z, T ) ) ] )
% 6.80/7.18 , clause( 20460, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 6.80/7.18 , W ) ), ~( equidistant( X, U, Z, W ) ), ~( between( X, Y, U ) ), between(
% 6.80/7.18 Z, T, W ) ] )
% 6.80/7.18 , clause( 20461, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X,
% 6.80/7.18 Y ), between( X, Z, T ), between( X, T, Z ) ] )
% 6.80/7.18 , clause( 20462, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X,
% 6.80/7.18 Y ), between( Y, Z, T ), between( Y, T, Z ) ] )
% 6.80/7.18 , clause( 20463, [ ~( between( X, Y, Z ) ), ~( between( T, Y, Z ) ), =( Y,
% 6.80/7.18 Z ), between( X, T, Y ), between( T, X, Y ) ] )
% 6.80/7.18 , clause( 20464, [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ),
% 6.80/7.18 between( X, Y, T ), between( X, T, Y ) ] )
% 6.80/7.18 , clause( 20465, [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ),
% 6.80/7.18 between( Y, T, Z ), between( T, Y, Z ) ] )
% 6.80/7.18 , clause( 20466, [ ~( between( X, Y, Z ) ), ~( between( Y, T, U ) ), ~(
% 6.80/7.18 between( X, U, Z ) ), between( X, T, Z ) ] )
% 6.80/7.18 , clause( 20467, [ between( u, v, w ) ] )
% 6.80/7.18 , clause( 20468, [ equidistant( u, v, u, w ) ] )
% 6.80/7.18 , clause( 20469, [ ~( =( v, w ) ) ] )
% 6.80/7.18 ] ).
% 6.80/7.18
% 6.80/7.18
% 6.80/7.18
% 6.80/7.18 subsumption(
% 6.80/7.18 clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 6.80/7.18 , clause( 20387, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 6.80/7.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.80/7.18 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 6.80/7.18
% 6.80/7.18
% 6.80/7.18 subsumption(
% 6.80/7.18 clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 6.80/7.18 , clause( 20391, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 6.80/7.18 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.80/7.18 ), ==>( 1, 1 )] ) ).
% 6.80/7.18
% 6.80/7.18
% 6.80/7.18 subsumption(
% 6.80/7.18 clause( 21, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ]
% 6.80/7.18 )
% 6.80/7.18 , clause( 20406, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y
% 6.80/7.18 ) ] )
% 6.80/7.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.80/7.18 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 6.80/7.18
% 6.80/7.18
% 6.80/7.18 eqswap(
% 6.80/7.18 clause( 20625, [ =( extension( Y, X, Z, Z ), X ) ] )
% 6.80/7.18 , clause( 20414, [ =( X, extension( Y, X, Z, Z ) ) ] )
% 6.80/7.18 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 6.80/7.18
% 6.80/7.18
% 6.80/7.18 subsumption(
% 6.80/7.18 clause( 29, [ =( extension( Y, X, Z, Z ), X ) ] )
% 6.80/7.18 , clause( 20625, [ =( extension( Y, X, Z, Z ), X ) ] )
% 6.80/7.18 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.80/7.18 permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.80/7.18
% 6.80/7.18
% 6.80/7.18 subsumption(
% 6.80/7.18 clause( 30, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ] )
% 6.80/7.18 , clause( 20415, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X )
% 263.56/263.94 ] )
% 263.56/263.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 263.56/263.94 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 263.56/263.94
% 263.56/263.94
% 263.56/263.94 subsumption(
% 263.56/263.94 clause( 31, [ between( X, Y, reflection( X, Y ) ) ] )
% 263.56/263.94 , clause( 20416, [ between( X, Y, reflection( X, Y ) ) ] )
% 263.56/263.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 263.56/263.94 )] ) ).
% 263.56/263.94
% 263.56/263.94
% 263.56/263.94 eqswap(
% 263.56/263.94 clause( 20819, [ ~( =( reflection( Y, X ), X ) ), =( Y, X ) ] )
% 263.56/263.94 , clause( 20420, [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ] )
% 263.56/263.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 263.56/263.94
% 263.56/263.94
% 263.56/263.94 subsumption(
% 263.56/263.94 clause( 35, [ ~( =( reflection( Y, X ), X ) ), =( Y, X ) ] )
% 263.56/263.94 , clause( 20819, [ ~( =( reflection( Y, X ), X ) ), =( Y, X ) ] )
% 263.56/263.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 263.56/263.94 ), ==>( 1, 1 )] ) ).
% 263.56/263.94
% 263.56/263.94
% 263.56/263.94 subsumption(
% 263.56/263.94 clause( 38, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~(
% 263.56/263.94 equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 263.56/263.94 , clause( 20423, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~(
% 263.56/263.94 equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 263.56/263.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 263.56/263.94 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 263.56/263.94 ==>( 4, 4 )] ) ).
% 263.56/263.94
% 263.56/263.94
% 263.56/263.94 eqswap(
% 263.56/263.94 clause( 20997, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 263.56/263.94 , clause( 20428, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 263.56/263.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 263.56/263.94
% 263.56/263.94
% 263.56/263.94 subsumption(
% 263.56/263.94 clause( 43, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 263.56/263.94 , clause( 20997, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 263.56/263.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 263.56/263.94 )] ) ).
% 263.56/263.94
% 263.56/263.94
% 263.56/263.94 subsumption(
% 263.56/263.94 clause( 46, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 263.56/263.94 , clause( 20431, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 263.56/263.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 263.56/263.94 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 263.56/263.94
% 263.56/263.94
% 263.56/263.94 subsumption(
% 263.56/263.94 clause( 47, [ between( X, X, Y ) ] )
% 263.56/263.94 , clause( 20432, [ between( X, X, Y ) ] )
% 263.56/263.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 263.56/263.94 )] ) ).
% 263.56/263.94
% 263.56/263.94
% 263.56/263.94 subsumption(
% 263.56/263.94 clause( 49, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, Z ) ]
% 263.56/263.94 )
% 263.56/263.94 , clause( 20434, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y,
% 263.56/263.94 Z ) ] )
% 263.56/263.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 263.56/263.94 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 263.56/263.94
% 263.56/263.94
% 263.56/263.94 subsumption(
% 263.56/263.94 clause( 52, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X
% 263.56/263.94 , Y, T ), =( Y, Z ) ] )
% 263.56/263.94 , clause( 20440, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ),
% 263.56/263.94 between( X, Y, T ), =( Y, Z ) ] )
% 263.56/263.94 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 263.56/263.94 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 263.56/263.94 ).
% 263.56/263.94
% 263.56/263.94
% 263.56/263.94 subsumption(
% 263.56/263.94 clause( 78, [ between( u, v, w ) ] )
% 263.56/263.94 , clause( 20467, [ between( u, v, w ) ] )
% 263.56/263.94 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 263.56/263.94
% 263.56/263.94
% 263.56/263.94 subsumption(
% 263.56/263.94 clause( 79, [ equidistant( u, v, u, w ) ] )
% 263.56/263.94 , clause( 20468, [ equidistant( u, v, u, w ) ] )
% 263.56/263.94 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 263.56/263.94
% 263.56/263.94
% 263.56/263.94 eqswap(
% 263.56/263.94 clause( 22039, [ ~( =( w, v ) ) ] )
% 263.56/263.94 , clause( 20469, [ ~( =( v, w ) ) ] )
% 263.56/263.94 , 0, substitution( 0, [] )).
% 263.56/263.94
% 263.56/263.94
% 263.56/263.94 subsumption(
% 263.56/263.94 clause( 80, [ ~( =( w, v ) ) ] )
% 263.56/263.94 , clause( 22039, [ ~( =( w, v ) ) ] )
% 263.56/263.94 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 263.56/263.94
% 263.56/263.94
% 263.56/263.94 eqswap(
% 263.56/263.94 clause( 22041, [ ~( =( v, w ) ) ] )
% 263.56/263.94 , clause( 80, [ ~( =( w, v ) ) ] )
% 263.56/263.94 , 0, substitution( 0, [] )).
% 263.56/263.94
% 263.56/263.94
% 263.56/263.94 paramod(
% 263.56/263.94 clause( 45763, [ ~( =( v, X ) ), ~( between( w, X, w ) ) ] )
% 263.56/263.94 , clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 263.56/263.94 , 1, clause( 22041, [ ~( =( v, w ) ) ] )
% 263.56/263.94 , 0, 3, substitution( 0, [ :=( X, w ), :=( Y, X )] ), substitution( 1, [] )
% 263.56/263.94 ).
% 263.56/263.94
% 263.56/263.94
% 263.56/263.94 eqswap(
% 263.56/263.94 clause( 45915, [ ~( =( X, v ) ), ~( between( w, X, w ) ) ] )
% 263.56/263.94 , clause( 45763, [ ~( =( v, X ) ), ~( between( w, X, w ) ) ] )
% 263.56/263.94 , 0, substitution( 0, [ :=( X, X )] )).
% 263.56/263.94
% 263.56/263.94
% 263.56/263.94 subsumption(
% 263.56/263.94 clause( 271, [ ~( =( X, v ) ), ~( between( w, X, w ) ) ] )
% 263.56/263.94 , clause( 45915, [ ~( =( X, v ) ), ~( between( w, X, w ) ) ] )
% 263.56/263.94 , substitution( 0, [ :=Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------