TSTP Solution File: GEO036-3 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO036-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 02:51:03 EDT 2022
% Result : Unsatisfiable 1.21s 1.62s
% Output : Refutation 1.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO036-3 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : bliksem %s
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Sat Jun 18 01:30:44 EDT 2022
% 0.15/0.36 % CPUTime :
% 1.21/1.62 *** allocated 10000 integers for termspace/termends
% 1.21/1.62 *** allocated 10000 integers for clauses
% 1.21/1.62 *** allocated 10000 integers for justifications
% 1.21/1.62 Bliksem 1.12
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 Automatic Strategy Selection
% 1.21/1.62
% 1.21/1.62 Clauses:
% 1.21/1.62 [
% 1.21/1.62 [ equidistant( X, Y, Y, X ) ],
% 1.21/1.62 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 1.21/1.62 equidistant( Z, T, U, W ) ],
% 1.21/1.62 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 1.21/1.62 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 1.21/1.62 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 1.21/1.62 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 1.21/1.62 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 1.21/1.62 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 1.21/1.62 , V0, W, V1 ) ],
% 1.21/1.62 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 1.21/1.62 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 1.21/1.62 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 1.21/1.62 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 1.21/1.62 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 1.21/1.62 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 1.21/1.62 'lower_dimension_point_3' ) ) ],
% 1.21/1.62 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 1.21/1.62 'lower_dimension_point_1' ) ) ],
% 1.21/1.62 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 1.21/1.62 'lower_dimension_point_2' ) ) ],
% 1.21/1.62 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 1.21/1.62 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 1.21/1.62 between( U, X, T ), =( Y, Z ) ],
% 1.21/1.62 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 1.21/1.62 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 1.21/1.62 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 1.21/1.62 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 1.21/1.62 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 1.21/1.62 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 1.21/1.62 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 1.21/1.62 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 1.21/1.62 , Y, Z, W, T, U ), U ) ],
% 1.21/1.62 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 1.21/1.62 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 1.21/1.62 continuous( X, Y, Z, W, T, U ) ) ],
% 1.21/1.62 [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ],
% 1.21/1.62 [ equidistant( X, Y, X, Y ) ],
% 1.21/1.62 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ],
% 1.21/1.62 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ],
% 1.21/1.62 [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z ) ],
% 1.21/1.62 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z ) ],
% 1.21/1.62 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X ) ],
% 1.21/1.62 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y ) ],
% 1.21/1.62 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X ) ],
% 1.21/1.62 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U, W ) ),
% 1.21/1.62 equidistant( X, Y, U, W ) ],
% 1.21/1.62 [ =( X, extension( Y, X, Z, Z ) ) ],
% 1.21/1.62 [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ],
% 1.21/1.62 [ between( X, Y, reflection( X, Y ) ) ],
% 1.21/1.62 [ equidistant( X, reflection( Y, X ), Y, X ) ],
% 1.21/1.62 [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ],
% 1.21/1.62 [ =( X, reflection( X, X ) ) ],
% 1.21/1.62 [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ],
% 1.21/1.62 [ equidistant( X, X, Y, Y ) ],
% 1.21/1.62 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 1.21/1.62 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X, U, Z, W )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~( equidistant( Y, Z
% 1.21/1.62 , Y, T ) ), =( X, Y ), =( Z, T ) ],
% 1.21/1.62 [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, Y, Y, Z ) ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y ), extension(
% 1.21/1.62 U, W, Z, T ) ), =( U, W ) ],
% 1.21/1.62 [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ), =( X, Y ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ equidistant( X, Y, X, reflection( reflection( Y, X ), X ) ) ],
% 1.21/1.62 [ =( X, reflection( reflection( X, Y ), Y ) ) ],
% 1.21/1.62 [ between( X, Y, Y ) ],
% 1.21/1.62 [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z ) ],
% 1.21/1.62 [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ],
% 1.21/1.62 [ between( X, X, Y ) ],
% 1.21/1.62 [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ) ],
% 1.21/1.62 [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, Z ) ],
% 1.21/1.62 [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ), =( Y, Z )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X, Y ), =( Y, Z )
% 1.21/1.62 ],
% 1.21/1.62 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, Z ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( Y, Z, T ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Z, T ),
% 1.21/1.62 =( Y, Z ) ],
% 1.21/1.62 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, T ),
% 1.21/1.62 =( Y, Z ) ],
% 1.21/1.62 [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X, T, Z ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( X, Y, T ) ]
% 1.21/1.62 ,
% 1.21/1.62 [ =( 'lower_dimension_point_1', 'lower_dimension_point_2' ), =(
% 1.21/1.62 'lower_dimension_point_2', 'lower_dimension_point_3' ), =(
% 1.21/1.62 'lower_dimension_point_1', 'lower_dimension_point_3' ) ]
% 1.21/1.62 ] .
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 percentage equality = 0.230216, percentage horn = 0.781818
% 1.21/1.62 This is a problem with some equality
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 Options Used:
% 1.21/1.62
% 1.21/1.62 useres = 1
% 1.21/1.62 useparamod = 1
% 1.21/1.62 useeqrefl = 1
% 1.21/1.62 useeqfact = 1
% 1.21/1.62 usefactor = 1
% 1.21/1.62 usesimpsplitting = 0
% 1.21/1.62 usesimpdemod = 5
% 1.21/1.62 usesimpres = 3
% 1.21/1.62
% 1.21/1.62 resimpinuse = 1000
% 1.21/1.62 resimpclauses = 20000
% 1.21/1.62 substype = eqrewr
% 1.21/1.62 backwardsubs = 1
% 1.21/1.62 selectoldest = 5
% 1.21/1.62
% 1.21/1.62 litorderings [0] = split
% 1.21/1.62 litorderings [1] = extend the termordering, first sorting on arguments
% 1.21/1.62
% 1.21/1.62 termordering = kbo
% 1.21/1.62
% 1.21/1.62 litapriori = 0
% 1.21/1.62 termapriori = 1
% 1.21/1.62 litaposteriori = 0
% 1.21/1.62 termaposteriori = 0
% 1.21/1.62 demodaposteriori = 0
% 1.21/1.62 ordereqreflfact = 0
% 1.21/1.62
% 1.21/1.62 litselect = negord
% 1.21/1.62
% 1.21/1.62 maxweight = 15
% 1.21/1.62 maxdepth = 30000
% 1.21/1.62 maxlength = 115
% 1.21/1.62 maxnrvars = 195
% 1.21/1.62 excuselevel = 1
% 1.21/1.62 increasemaxweight = 1
% 1.21/1.62
% 1.21/1.62 maxselected = 10000000
% 1.21/1.62 maxnrclauses = 10000000
% 1.21/1.62
% 1.21/1.62 showgenerated = 0
% 1.21/1.62 showkept = 0
% 1.21/1.62 showselected = 0
% 1.21/1.62 showdeleted = 0
% 1.21/1.62 showresimp = 1
% 1.21/1.62 showstatus = 2000
% 1.21/1.62
% 1.21/1.62 prologoutput = 1
% 1.21/1.62 nrgoals = 5000000
% 1.21/1.62 totalproof = 1
% 1.21/1.62
% 1.21/1.62 Symbols occurring in the translation:
% 1.21/1.62
% 1.21/1.62 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.21/1.62 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 1.21/1.62 ! [4, 1] (w:0, o:25, a:1, s:1, b:0),
% 1.21/1.62 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.21/1.62 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.21/1.62 equidistant [41, 4] (w:1, o:57, a:1, s:1, b:0),
% 1.21/1.62 extension [46, 4] (w:1, o:58, a:1, s:1, b:0),
% 1.21/1.62 between [47, 3] (w:1, o:56, a:1, s:1, b:0),
% 1.21/1.62 'inner_pasch' [53, 5] (w:1, o:59, a:1, s:1, b:0),
% 1.21/1.62 'lower_dimension_point_1' [54, 0] (w:1, o:22, a:1, s:1, b:0),
% 1.21/1.62 'lower_dimension_point_2' [55, 0] (w:1, o:23, a:1, s:1, b:0),
% 1.21/1.62 'lower_dimension_point_3' [56, 0] (w:1, o:24, a:1, s:1, b:0),
% 1.21/1.62 euclid1 [57, 5] (w:1, o:60, a:1, s:1, b:0),
% 1.21/1.62 euclid2 [58, 5] (w:1, o:61, a:1, s:1, b:0),
% 1.21/1.62 continuous [59, 6] (w:1, o:62, a:1, s:1, b:0),
% 1.21/1.62 reflection [60, 2] (w:1, o:55, a:1, s:1, b:0).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 Starting Search:
% 1.21/1.62
% 1.21/1.62 Resimplifying inuse:
% 1.21/1.62 Done
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 Intermediate Status:
% 1.21/1.62 Generated: 9828
% 1.21/1.62 Kept: 2062
% 1.21/1.62 Inuse: 121
% 1.21/1.62 Deleted: 0
% 1.21/1.62 Deletedinuse: 0
% 1.21/1.62
% 1.21/1.62 Resimplifying inuse:
% 1.21/1.62 Done
% 1.21/1.62
% 1.21/1.62 Resimplifying inuse:
% 1.21/1.62 Done
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 Intermediate Status:
% 1.21/1.62 Generated: 19636
% 1.21/1.62 Kept: 4077
% 1.21/1.62 Inuse: 157
% 1.21/1.62 Deleted: 0
% 1.21/1.62 Deletedinuse: 0
% 1.21/1.62
% 1.21/1.62 Resimplifying inuse:
% 1.21/1.62 Done
% 1.21/1.62
% 1.21/1.62 Resimplifying inuse:
% 1.21/1.62 Done
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 Intermediate Status:
% 1.21/1.62 Generated: 31040
% 1.21/1.62 Kept: 6277
% 1.21/1.62 Inuse: 193
% 1.21/1.62 Deleted: 3
% 1.21/1.62 Deletedinuse: 0
% 1.21/1.62
% 1.21/1.62 Resimplifying inuse:
% 1.21/1.62 Done
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 Bliksems!, er is een bewijs:
% 1.21/1.62 % SZS status Unsatisfiable
% 1.21/1.62 % SZS output start Refutation
% 1.21/1.62
% 1.21/1.62 clause( 9, [ ~( between( 'lower_dimension_point_1',
% 1.21/1.62 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 1.21/1.62 .
% 1.21/1.62 clause( 10, [ ~( between( 'lower_dimension_point_2',
% 1.21/1.62 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 1.21/1.62 .
% 1.21/1.62 clause( 11, [ ~( between( 'lower_dimension_point_3',
% 1.21/1.62 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 1.21/1.62 .
% 1.21/1.62 clause( 28, [ =( extension( Y, X, Z, Z ), X ) ] )
% 1.21/1.62 .
% 1.21/1.62 clause( 29, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ] )
% 1.21/1.62 .
% 1.21/1.62 clause( 44, [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z ) ]
% 1.21/1.62 )
% 1.21/1.62 .
% 1.21/1.62 clause( 54, [ =( 'lower_dimension_point_2', 'lower_dimension_point_1' ),
% 1.21/1.62 =( 'lower_dimension_point_3', 'lower_dimension_point_2' ), =(
% 1.21/1.62 'lower_dimension_point_3', 'lower_dimension_point_1' ) ] )
% 1.21/1.62 .
% 1.21/1.62 clause( 69, [ ~( between( X, Y, X ) ), between( Z, Y, X ) ] )
% 1.21/1.62 .
% 1.21/1.62 clause( 187, [ ~( between( 'lower_dimension_point_3',
% 1.21/1.62 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 1.21/1.62 .
% 1.21/1.62 clause( 188, [ ~( between( 'lower_dimension_point_1',
% 1.21/1.62 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 1.21/1.62 .
% 1.21/1.62 clause( 189, [ ~( between( 'lower_dimension_point_2',
% 1.21/1.62 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 1.21/1.62 .
% 1.21/1.62 clause( 2059, [ ~( =( T, Y ) ), between( X, Y, T ) ] )
% 1.21/1.62 .
% 1.21/1.62 clause( 2105, [ ~( =( 'lower_dimension_point_2', 'lower_dimension_point_1'
% 1.21/1.62 ) ) ] )
% 1.21/1.62 .
% 1.21/1.62 clause( 2106, [ ~( =( 'lower_dimension_point_3', 'lower_dimension_point_1'
% 1.21/1.62 ) ) ] )
% 1.21/1.62 .
% 1.21/1.62 clause( 2107, [ ~( =( 'lower_dimension_point_3', 'lower_dimension_point_2'
% 1.21/1.62 ) ) ] )
% 1.21/1.62 .
% 1.21/1.62 clause( 6652, [] )
% 1.21/1.62 .
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 % SZS output end Refutation
% 1.21/1.62 found a proof!
% 1.21/1.62
% 1.21/1.62 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.21/1.62
% 1.21/1.62 initialclauses(
% 1.21/1.62 [ clause( 6654, [ equidistant( X, Y, Y, X ) ] )
% 1.21/1.62 , clause( 6655, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 1.21/1.62 W ) ), equidistant( Z, T, U, W ) ] )
% 1.21/1.62 , clause( 6656, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 1.21/1.62 , clause( 6657, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 1.21/1.62 , clause( 6658, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 1.21/1.62 , clause( 6659, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T,
% 1.21/1.62 W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) )
% 1.21/1.62 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 1.21/1.62 equidistant( U, V0, W, V1 ) ] )
% 1.21/1.62 , clause( 6660, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 1.21/1.62 , clause( 6661, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 1.21/1.62 Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 1.21/1.62 , clause( 6662, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 1.21/1.62 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 1.21/1.62 , clause( 6663, [ ~( between( 'lower_dimension_point_1',
% 1.21/1.62 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 1.21/1.62 , clause( 6664, [ ~( between( 'lower_dimension_point_2',
% 1.21/1.62 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 1.21/1.62 , clause( 6665, [ ~( between( 'lower_dimension_point_3',
% 1.21/1.62 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 1.21/1.62 , clause( 6666, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T,
% 1.21/1.62 Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U
% 1.21/1.62 , X ), between( U, X, T ), =( Y, Z ) ] )
% 1.21/1.62 , clause( 6667, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 1.21/1.62 ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 1.21/1.62 , clause( 6668, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 1.21/1.62 ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 1.21/1.62 , clause( 6669, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 1.21/1.62 ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ] )
% 1.21/1.62 , clause( 6670, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 1.21/1.62 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 1.21/1.62 continuous( X, Y, Z, W, T, U ), U ) ] )
% 1.21/1.62 , clause( 6671, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 1.21/1.62 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X,
% 1.21/1.62 W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 1.21/1.62 , clause( 6672, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 1.21/1.62 , clause( 6673, [ equidistant( X, Y, X, Y ) ] )
% 1.21/1.62 , clause( 6674, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y )
% 1.21/1.62 ] )
% 1.21/1.62 , clause( 6675, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T )
% 1.21/1.62 ] )
% 1.21/1.62 , clause( 6676, [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z )
% 1.21/1.62 ] )
% 1.21/1.62 , clause( 6677, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z )
% 1.21/1.62 ] )
% 1.21/1.62 , clause( 6678, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X )
% 1.21/1.62 ] )
% 1.21/1.62 , clause( 6679, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y )
% 1.21/1.62 ] )
% 1.21/1.62 , clause( 6680, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X )
% 1.21/1.62 ] )
% 1.21/1.62 , clause( 6681, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U,
% 1.21/1.62 W ) ), equidistant( X, Y, U, W ) ] )
% 1.21/1.62 , clause( 6682, [ =( X, extension( Y, X, Z, Z ) ) ] )
% 1.21/1.62 , clause( 6683, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X )
% 1.21/1.62 ] )
% 1.21/1.62 , clause( 6684, [ between( X, Y, reflection( X, Y ) ) ] )
% 1.21/1.62 , clause( 6685, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 1.21/1.62 , clause( 6686, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 1.21/1.62 , clause( 6687, [ =( X, reflection( X, X ) ) ] )
% 1.21/1.62 , clause( 6688, [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ] )
% 1.21/1.62 , clause( 6689, [ equidistant( X, X, Y, Y ) ] )
% 1.21/1.62 , clause( 6690, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T,
% 1.21/1.62 W ) ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X,
% 1.21/1.62 U, Z, W ) ] )
% 1.21/1.62 , clause( 6691, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~(
% 1.21/1.62 equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 1.21/1.62 , clause( 6692, [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, Y
% 1.21/1.62 , Y, Z ) ) ] )
% 1.21/1.62 , clause( 6693, [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y
% 1.21/1.62 ), extension( U, W, Z, T ) ), =( U, W ) ] )
% 1.21/1.62 , clause( 6694, [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ),
% 1.21/1.62 =( X, Y ) ] )
% 1.21/1.62 , clause( 6695, [ equidistant( X, Y, X, reflection( reflection( Y, X ), X )
% 1.21/1.62 ) ] )
% 1.21/1.62 , clause( 6696, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 1.21/1.62 , clause( 6697, [ between( X, Y, Y ) ] )
% 1.21/1.62 , clause( 6698, [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z
% 1.21/1.62 ) ] )
% 1.21/1.62 , clause( 6699, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 1.21/1.62 , clause( 6700, [ between( X, X, Y ) ] )
% 1.21/1.62 , clause( 6701, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y
% 1.21/1.62 ) ] )
% 1.21/1.62 , clause( 6702, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, Z
% 1.21/1.62 ) ] )
% 1.21/1.62 , clause( 6703, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y
% 1.21/1.62 ), =( Y, Z ) ] )
% 1.21/1.62 , clause( 6704, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X, Y
% 1.21/1.62 ), =( Y, Z ) ] )
% 1.21/1.62 , clause( 6705, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between(
% 1.21/1.62 X, Y, Z ) ] )
% 1.21/1.62 , clause( 6706, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between(
% 1.21/1.62 Y, Z, T ) ] )
% 1.21/1.62 , clause( 6707, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between(
% 1.21/1.62 X, Z, T ), =( Y, Z ) ] )
% 1.21/1.62 , clause( 6708, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between(
% 1.21/1.62 X, Y, T ), =( Y, Z ) ] )
% 1.21/1.62 , clause( 6709, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between(
% 1.21/1.62 X, T, Z ) ] )
% 1.21/1.62 , clause( 6710, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between(
% 1.21/1.62 X, Y, T ) ] )
% 1.21/1.62 , clause( 6711, [ =( 'lower_dimension_point_1', 'lower_dimension_point_2' )
% 1.21/1.62 , =( 'lower_dimension_point_2', 'lower_dimension_point_3' ), =(
% 1.21/1.62 'lower_dimension_point_1', 'lower_dimension_point_3' ) ] )
% 1.21/1.62 ] ).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 subsumption(
% 1.21/1.62 clause( 9, [ ~( between( 'lower_dimension_point_1',
% 1.21/1.62 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 1.21/1.62 , clause( 6663, [ ~( between( 'lower_dimension_point_1',
% 1.21/1.62 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 1.21/1.62 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 subsumption(
% 1.21/1.62 clause( 10, [ ~( between( 'lower_dimension_point_2',
% 1.21/1.62 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 1.21/1.62 , clause( 6664, [ ~( between( 'lower_dimension_point_2',
% 1.21/1.62 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 1.21/1.62 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 subsumption(
% 1.21/1.62 clause( 11, [ ~( between( 'lower_dimension_point_3',
% 1.21/1.62 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 1.21/1.62 , clause( 6665, [ ~( between( 'lower_dimension_point_3',
% 1.21/1.62 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 1.21/1.62 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 eqswap(
% 1.21/1.62 clause( 6874, [ =( extension( Y, X, Z, Z ), X ) ] )
% 1.21/1.62 , clause( 6682, [ =( X, extension( Y, X, Z, Z ) ) ] )
% 1.21/1.62 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 subsumption(
% 1.21/1.62 clause( 28, [ =( extension( Y, X, Z, Z ), X ) ] )
% 1.21/1.62 , clause( 6874, [ =( extension( Y, X, Z, Z ), X ) ] )
% 1.21/1.62 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.21/1.62 permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 subsumption(
% 1.21/1.62 clause( 29, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ] )
% 1.21/1.62 , clause( 6683, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X )
% 1.21/1.62 ] )
% 1.21/1.62 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 1.21/1.62 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 subsumption(
% 1.21/1.62 clause( 44, [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z ) ]
% 1.21/1.62 )
% 1.21/1.62 , clause( 6698, [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z
% 1.21/1.62 ) ] )
% 1.21/1.62 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 1.21/1.62 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 eqswap(
% 1.21/1.62 clause( 7151, [ =( 'lower_dimension_point_3', 'lower_dimension_point_1' ),
% 1.21/1.62 =( 'lower_dimension_point_1', 'lower_dimension_point_2' ), =(
% 1.21/1.62 'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 1.21/1.62 , clause( 6711, [ =( 'lower_dimension_point_1', 'lower_dimension_point_2' )
% 1.21/1.62 , =( 'lower_dimension_point_2', 'lower_dimension_point_3' ), =(
% 1.21/1.62 'lower_dimension_point_1', 'lower_dimension_point_3' ) ] )
% 1.21/1.62 , 2, substitution( 0, [] )).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 eqswap(
% 1.21/1.62 clause( 7153, [ =( 'lower_dimension_point_3', 'lower_dimension_point_2' ),
% 1.21/1.62 =( 'lower_dimension_point_3', 'lower_dimension_point_1' ), =(
% 1.21/1.62 'lower_dimension_point_1', 'lower_dimension_point_2' ) ] )
% 1.21/1.62 , clause( 7151, [ =( 'lower_dimension_point_3', 'lower_dimension_point_1' )
% 1.21/1.62 , =( 'lower_dimension_point_1', 'lower_dimension_point_2' ), =(
% 1.21/1.62 'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 1.21/1.62 , 2, substitution( 0, [] )).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 eqswap(
% 1.21/1.62 clause( 7154, [ =( 'lower_dimension_point_2', 'lower_dimension_point_1' ),
% 1.21/1.62 =( 'lower_dimension_point_3', 'lower_dimension_point_2' ), =(
% 1.21/1.62 'lower_dimension_point_3', 'lower_dimension_point_1' ) ] )
% 1.21/1.62 , clause( 7153, [ =( 'lower_dimension_point_3', 'lower_dimension_point_2' )
% 1.21/1.62 , =( 'lower_dimension_point_3', 'lower_dimension_point_1' ), =(
% 1.21/1.62 'lower_dimension_point_1', 'lower_dimension_point_2' ) ] )
% 1.21/1.62 , 2, substitution( 0, [] )).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 subsumption(
% 1.21/1.62 clause( 54, [ =( 'lower_dimension_point_2', 'lower_dimension_point_1' ),
% 1.21/1.62 =( 'lower_dimension_point_3', 'lower_dimension_point_2' ), =(
% 1.21/1.62 'lower_dimension_point_3', 'lower_dimension_point_1' ) ] )
% 1.21/1.62 , clause( 7154, [ =( 'lower_dimension_point_2', 'lower_dimension_point_1' )
% 1.21/1.62 , =( 'lower_dimension_point_3', 'lower_dimension_point_2' ), =(
% 1.21/1.62 'lower_dimension_point_3', 'lower_dimension_point_1' ) ] )
% 1.21/1.62 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 1.21/1.62 , 2 )] ) ).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 eqswap(
% 1.21/1.62 clause( 7156, [ ~( =( Y, X ) ), ~( between( X, Z, Y ) ), between( T, Z, Y )
% 1.21/1.62 ] )
% 1.21/1.62 , clause( 44, [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z )
% 1.21/1.62 ] )
% 1.21/1.62 , 1, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y ), :=( T, T )] )
% 1.21/1.62 ).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 eqrefl(
% 1.21/1.62 clause( 7157, [ ~( between( X, Y, X ) ), between( Z, Y, X ) ] )
% 1.21/1.62 , clause( 7156, [ ~( =( Y, X ) ), ~( between( X, Z, Y ) ), between( T, Z, Y
% 1.21/1.62 ) ] )
% 1.21/1.62 , 0, substitution( 0, [ :=( X, X ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 1.21/1.62 ).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 subsumption(
% 1.21/1.62 clause( 69, [ ~( between( X, Y, X ) ), between( Z, Y, X ) ] )
% 1.21/1.62 , clause( 7157, [ ~( between( X, Y, X ) ), between( Z, Y, X ) ] )
% 1.21/1.62 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 1.21/1.62 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 resolution(
% 1.21/1.62 clause( 7158, [ ~( between( 'lower_dimension_point_3',
% 1.21/1.62 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 1.21/1.62 , clause( 9, [ ~( between( 'lower_dimension_point_1',
% 1.21/1.62 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 1.21/1.62 , 0, clause( 69, [ ~( between( X, Y, X ) ), between( Z, Y, X ) ] )
% 1.21/1.62 , 1, substitution( 0, [] ), substitution( 1, [ :=( X,
% 1.21/1.62 'lower_dimension_point_3' ), :=( Y, 'lower_dimension_point_2' ), :=( Z,
% 1.21/1.62 'lower_dimension_point_1' )] )).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 subsumption(
% 1.21/1.62 clause( 187, [ ~( between( 'lower_dimension_point_3',
% 1.21/1.62 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 1.21/1.62 , clause( 7158, [ ~( between( 'lower_dimension_point_3',
% 1.21/1.62 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 1.21/1.62 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 resolution(
% 1.21/1.62 clause( 7159, [ ~( between( 'lower_dimension_point_1',
% 1.21/1.62 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 1.21/1.62 , clause( 10, [ ~( between( 'lower_dimension_point_2',
% 1.21/1.62 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 1.21/1.62 , 0, clause( 69, [ ~( between( X, Y, X ) ), between( Z, Y, X ) ] )
% 1.21/1.62 , 1, substitution( 0, [] ), substitution( 1, [ :=( X,
% 1.21/1.62 'lower_dimension_point_1' ), :=( Y, 'lower_dimension_point_3' ), :=( Z,
% 1.21/1.62 'lower_dimension_point_2' )] )).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 subsumption(
% 1.21/1.62 clause( 188, [ ~( between( 'lower_dimension_point_1',
% 1.21/1.62 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 1.21/1.62 , clause( 7159, [ ~( between( 'lower_dimension_point_1',
% 1.21/1.62 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 1.21/1.62 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 resolution(
% 1.21/1.62 clause( 7160, [ ~( between( 'lower_dimension_point_2',
% 1.21/1.62 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 1.21/1.62 , clause( 11, [ ~( between( 'lower_dimension_point_3',
% 1.21/1.62 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 1.21/1.62 , 0, clause( 69, [ ~( between( X, Y, X ) ), between( Z, Y, X ) ] )
% 1.21/1.62 , 1, substitution( 0, [] ), substitution( 1, [ :=( X,
% 1.21/1.62 'lower_dimension_point_2' ), :=( Y, 'lower_dimension_point_1' ), :=( Z,
% 1.21/1.62 'lower_dimension_point_3' )] )).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 subsumption(
% 1.21/1.62 clause( 189, [ ~( between( 'lower_dimension_point_2',
% 1.21/1.62 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 1.21/1.62 , clause( 7160, [ ~( between( 'lower_dimension_point_2',
% 1.21/1.62 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 1.21/1.62 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 eqswap(
% 1.21/1.62 clause( 7162, [ ~( =( extension( Y, Z, T, U ), X ) ), between( Y, Z, X ) ]
% 1.21/1.62 )
% 1.21/1.62 , clause( 29, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ]
% 1.21/1.62 )
% 1.21/1.62 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 1.21/1.62 :=( U, U )] )).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 paramod(
% 1.21/1.62 clause( 7163, [ ~( =( Y, T ) ), between( X, Y, T ) ] )
% 1.21/1.62 , clause( 28, [ =( extension( Y, X, Z, Z ), X ) ] )
% 1.21/1.62 , 0, clause( 7162, [ ~( =( extension( Y, Z, T, U ), X ) ), between( Y, Z, X
% 1.21/1.62 ) ] )
% 1.21/1.62 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 1.21/1.62 substitution( 1, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U
% 1.21/1.62 , Z )] )).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 eqswap(
% 1.21/1.62 clause( 7164, [ ~( =( Y, X ) ), between( Z, X, Y ) ] )
% 1.21/1.62 , clause( 7163, [ ~( =( Y, T ) ), between( X, Y, T ) ] )
% 1.21/1.62 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, Y )] )
% 1.21/1.62 ).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 subsumption(
% 1.21/1.62 clause( 2059, [ ~( =( T, Y ) ), between( X, Y, T ) ] )
% 1.21/1.62 , clause( 7164, [ ~( =( Y, X ) ), between( Z, X, Y ) ] )
% 1.21/1.62 , substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, X )] ),
% 1.21/1.62 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 eqswap(
% 1.21/1.62 clause( 7165, [ ~( =( Y, X ) ), between( Z, Y, X ) ] )
% 1.21/1.62 , clause( 2059, [ ~( =( T, Y ) ), between( X, Y, T ) ] )
% 1.21/1.62 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, X )] )
% 1.21/1.62 ).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 resolution(
% 1.21/1.62 clause( 7166, [ ~( =( 'lower_dimension_point_1', 'lower_dimension_point_2'
% 1.21/1.62 ) ) ] )
% 1.21/1.62 , clause( 189, [ ~( between( 'lower_dimension_point_2',
% 1.21/1.62 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 1.21/1.62 , 0, clause( 7165, [ ~( =( Y, X ) ), between( Z, Y, X ) ] )
% 1.21/1.62 , 1, substitution( 0, [] ), substitution( 1, [ :=( X,
% 1.21/1.62 'lower_dimension_point_2' ), :=( Y, 'lower_dimension_point_1' ), :=( Z,
% 1.21/1.62 'lower_dimension_point_2' )] )).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 eqswap(
% 1.21/1.62 clause( 7167, [ ~( =( 'lower_dimension_point_2', 'lower_dimension_point_1'
% 1.21/1.62 ) ) ] )
% 1.21/1.62 , clause( 7166, [ ~( =( 'lower_dimension_point_1',
% 1.21/1.62 'lower_dimension_point_2' ) ) ] )
% 1.21/1.62 , 0, substitution( 0, [] )).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 subsumption(
% 1.21/1.62 clause( 2105, [ ~( =( 'lower_dimension_point_2', 'lower_dimension_point_1'
% 1.21/1.62 ) ) ] )
% 1.21/1.62 , clause( 7167, [ ~( =( 'lower_dimension_point_2',
% 1.21/1.62 'lower_dimension_point_1' ) ) ] )
% 1.21/1.62 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 eqswap(
% 1.21/1.62 clause( 7168, [ ~( =( Y, X ) ), between( Z, Y, X ) ] )
% 1.21/1.62 , clause( 2059, [ ~( =( T, Y ) ), between( X, Y, T ) ] )
% 1.21/1.62 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, X )] )
% 1.21/1.62 ).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 resolution(
% 1.21/1.62 clause( 7169, [ ~( =( 'lower_dimension_point_3', 'lower_dimension_point_1'
% 1.21/1.62 ) ) ] )
% 1.21/1.62 , clause( 188, [ ~( between( 'lower_dimension_point_1',
% 1.21/1.62 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 1.21/1.62 , 0, clause( 7168, [ ~( =( Y, X ) ), between( Z, Y, X ) ] )
% 1.21/1.62 , 1, substitution( 0, [] ), substitution( 1, [ :=( X,
% 1.21/1.62 'lower_dimension_point_1' ), :=( Y, 'lower_dimension_point_3' ), :=( Z,
% 1.21/1.62 'lower_dimension_point_1' )] )).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 subsumption(
% 1.21/1.62 clause( 2106, [ ~( =( 'lower_dimension_point_3', 'lower_dimension_point_1'
% 1.21/1.62 ) ) ] )
% 1.21/1.62 , clause( 7169, [ ~( =( 'lower_dimension_point_3',
% 1.21/1.62 'lower_dimension_point_1' ) ) ] )
% 1.21/1.62 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 eqswap(
% 1.21/1.62 clause( 7171, [ ~( =( Y, X ) ), between( Z, Y, X ) ] )
% 1.21/1.62 , clause( 2059, [ ~( =( T, Y ) ), between( X, Y, T ) ] )
% 1.21/1.62 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, X )] )
% 1.21/1.62 ).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 resolution(
% 1.21/1.62 clause( 7172, [ ~( =( 'lower_dimension_point_2', 'lower_dimension_point_3'
% 1.21/1.62 ) ) ] )
% 1.21/1.62 , clause( 187, [ ~( between( 'lower_dimension_point_3',
% 1.21/1.62 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 1.21/1.62 , 0, clause( 7171, [ ~( =( Y, X ) ), between( Z, Y, X ) ] )
% 1.21/1.62 , 1, substitution( 0, [] ), substitution( 1, [ :=( X,
% 1.21/1.62 'lower_dimension_point_3' ), :=( Y, 'lower_dimension_point_2' ), :=( Z,
% 1.21/1.62 'lower_dimension_point_3' )] )).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 eqswap(
% 1.21/1.62 clause( 7173, [ ~( =( 'lower_dimension_point_3', 'lower_dimension_point_2'
% 1.21/1.62 ) ) ] )
% 1.21/1.62 , clause( 7172, [ ~( =( 'lower_dimension_point_2',
% 1.21/1.62 'lower_dimension_point_3' ) ) ] )
% 1.21/1.62 , 0, substitution( 0, [] )).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 subsumption(
% 1.21/1.62 clause( 2107, [ ~( =( 'lower_dimension_point_3', 'lower_dimension_point_2'
% 1.21/1.62 ) ) ] )
% 1.21/1.62 , clause( 7173, [ ~( =( 'lower_dimension_point_3',
% 1.21/1.62 'lower_dimension_point_2' ) ) ] )
% 1.21/1.62 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 resolution(
% 1.21/1.62 clause( 7184, [ =( 'lower_dimension_point_3', 'lower_dimension_point_2' ),
% 1.21/1.62 =( 'lower_dimension_point_3', 'lower_dimension_point_1' ) ] )
% 1.21/1.62 , clause( 2105, [ ~( =( 'lower_dimension_point_2',
% 1.21/1.62 'lower_dimension_point_1' ) ) ] )
% 1.21/1.62 , 0, clause( 54, [ =( 'lower_dimension_point_2', 'lower_dimension_point_1'
% 1.21/1.62 ), =( 'lower_dimension_point_3', 'lower_dimension_point_2' ), =(
% 1.21/1.62 'lower_dimension_point_3', 'lower_dimension_point_1' ) ] )
% 1.21/1.62 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 resolution(
% 1.21/1.62 clause( 7185, [ =( 'lower_dimension_point_3', 'lower_dimension_point_1' ) ]
% 1.21/1.62 )
% 1.21/1.62 , clause( 2107, [ ~( =( 'lower_dimension_point_3',
% 1.21/1.62 'lower_dimension_point_2' ) ) ] )
% 1.21/1.62 , 0, clause( 7184, [ =( 'lower_dimension_point_3',
% 1.21/1.62 'lower_dimension_point_2' ), =( 'lower_dimension_point_3',
% 1.21/1.62 'lower_dimension_point_1' ) ] )
% 1.21/1.62 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 resolution(
% 1.21/1.62 clause( 7186, [] )
% 1.21/1.62 , clause( 2106, [ ~( =( 'lower_dimension_point_3',
% 1.21/1.62 'lower_dimension_point_1' ) ) ] )
% 1.21/1.62 , 0, clause( 7185, [ =( 'lower_dimension_point_3',
% 1.21/1.62 'lower_dimension_point_1' ) ] )
% 1.21/1.62 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 subsumption(
% 1.21/1.62 clause( 6652, [] )
% 1.21/1.62 , clause( 7186, [] )
% 1.21/1.62 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 end.
% 1.21/1.62
% 1.21/1.62 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.21/1.62
% 1.21/1.62 Memory use:
% 1.21/1.62
% 1.21/1.62 space for terms: 127278
% 1.21/1.62 space for clauses: 290580
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 clauses generated: 32709
% 1.21/1.62 clauses kept: 6653
% 1.21/1.62 clauses selected: 200
% 1.21/1.62 clauses deleted: 6
% 1.21/1.62 clauses inuse deleted: 0
% 1.21/1.62
% 1.21/1.62 subsentry: 183481
% 1.21/1.62 literals s-matched: 143325
% 1.21/1.62 literals matched: 135419
% 1.21/1.62 full subsumption: 118130
% 1.21/1.62
% 1.21/1.62 checksum: 2049096036
% 1.21/1.62
% 1.21/1.62
% 1.21/1.62 Bliksem ended
%------------------------------------------------------------------------------