TSTP Solution File: GEO006-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO006-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:50:44 EDT 2022
% Result : Unsatisfiable 0.72s 1.58s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO006-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n017.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 13:59:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.58 *** allocated 10000 integers for termspace/termends
% 0.72/1.58 *** allocated 10000 integers for clauses
% 0.72/1.58 *** allocated 10000 integers for justifications
% 0.72/1.58 Bliksem 1.12
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58 Automatic Strategy Selection
% 0.72/1.58
% 0.72/1.58 Clauses:
% 0.72/1.58 [
% 0.72/1.58 [ equidistant( X, Y, Y, X ) ],
% 0.72/1.58 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 0.72/1.58 equidistant( Z, T, U, W ) ],
% 0.72/1.58 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.72/1.58 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.72/1.58 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.72/1.58 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.72/1.58 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 0.72/1.58 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.72/1.58 , V0, W, V1 ) ],
% 0.72/1.58 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.72/1.58 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 0.72/1.58 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.72/1.58 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 0.72/1.58 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.72/1.58 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.72/1.58 'lower_dimension_point_3' ) ) ],
% 0.72/1.58 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.72/1.58 'lower_dimension_point_1' ) ) ],
% 0.72/1.58 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.72/1.58 'lower_dimension_point_2' ) ) ],
% 0.72/1.58 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 0.72/1.58 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 0.72/1.58 between( U, X, T ), =( Y, Z ) ],
% 0.72/1.58 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.72/1.58 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.72/1.58 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.72/1.58 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.72/1.58 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.72/1.58 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.72/1.58 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.72/1.58 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.72/1.58 , Y, Z, W, T, U ), U ) ],
% 0.72/1.58 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.72/1.58 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 0.72/1.58 continuous( X, Y, Z, W, T, U ) ) ],
% 0.72/1.58 [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ],
% 0.72/1.58 [ equidistant( X, Y, X, Y ) ],
% 0.72/1.58 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ],
% 0.72/1.58 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ],
% 0.72/1.58 [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z ) ],
% 0.72/1.58 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z ) ],
% 0.72/1.58 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X ) ],
% 0.72/1.58 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y ) ],
% 0.72/1.58 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X ) ],
% 0.72/1.58 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U, W ) ),
% 0.72/1.58 equidistant( X, Y, U, W ) ],
% 0.72/1.58 [ =( X, extension( Y, X, Z, Z ) ) ],
% 0.72/1.58 [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ],
% 0.72/1.58 [ between( X, Y, reflection( X, Y ) ) ],
% 0.72/1.58 [ equidistant( X, reflection( Y, X ), Y, X ) ],
% 0.72/1.58 [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ],
% 0.72/1.58 [ =( X, reflection( X, X ) ) ],
% 0.72/1.58 [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ],
% 0.72/1.58 [ equidistant( X, X, Y, Y ) ],
% 0.72/1.58 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.72/1.58 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X, U, Z, W )
% 0.72/1.58 ],
% 0.72/1.58 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~( equidistant( Y, Z
% 0.72/1.58 , Y, T ) ), =( X, Y ), =( Z, T ) ],
% 0.72/1.58 [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, Y, Y, Z ) ) ]
% 0.72/1.58 ,
% 0.72/1.58 [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y ), extension(
% 0.72/1.58 U, W, Z, T ) ), =( U, W ) ],
% 0.72/1.58 [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ), =( X, Y ) ]
% 0.72/1.58 ,
% 0.72/1.58 [ equidistant( X, Y, X, reflection( reflection( Y, X ), X ) ) ],
% 0.72/1.58 [ =( X, reflection( reflection( X, Y ), Y ) ) ],
% 0.72/1.58 [ between( X, Y, Y ) ],
% 0.72/1.58 [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z ) ],
% 0.72/1.58 [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ],
% 0.72/1.58 [ between( X, X, Y ) ],
% 0.72/1.58 [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ) ],
% 0.72/1.58 [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, Z ) ],
% 0.72/1.58 [ ~( =( a, c ) ) ],
% 0.72/1.58 [ ~( =( a, d ) ) ],
% 0.72/1.58 [ ~( =( c, d ) ) ],
% 0.72/1.58 [ between( a, c, d ) ],
% 0.72/1.58 [ between( c, a, d ), between( a, d, c ) ]
% 0.72/1.58 ] .
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58 percentage equality = 0.240000, percentage horn = 0.814815
% 0.72/1.58 This is a problem with some equality
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58 Options Used:
% 0.72/1.58
% 0.72/1.58 useres = 1
% 0.72/1.58 useparamod = 1
% 0.72/1.58 useeqrefl = 1
% 0.72/1.58 useeqfact = 1
% 0.72/1.58 usefactor = 1
% 0.72/1.58 usesimpsplitting = 0
% 0.72/1.58 usesimpdemod = 5
% 0.72/1.58 usesimpres = 3
% 0.72/1.58
% 0.72/1.58 resimpinuse = 1000
% 0.72/1.58 resimpclauses = 20000
% 0.72/1.58 substype = eqrewr
% 0.72/1.58 backwardsubs = 1
% 0.72/1.58 selectoldest = 5
% 0.72/1.58
% 0.72/1.58 litorderings [0] = split
% 0.72/1.58 litorderings [1] = extend the termordering, first sorting on arguments
% 0.72/1.58
% 0.72/1.58 termordering = kbo
% 0.72/1.58
% 0.72/1.58 litapriori = 0
% 0.72/1.58 termapriori = 1
% 0.72/1.58 litaposteriori = 0
% 0.72/1.58 termaposteriori = 0
% 0.72/1.58 demodaposteriori = 0
% 0.72/1.58 ordereqreflfact = 0
% 0.72/1.58
% 0.72/1.58 litselect = negord
% 0.72/1.58
% 0.72/1.58 maxweight = 15
% 0.72/1.58 maxdepth = 30000
% 0.72/1.58 maxlength = 115
% 0.72/1.58 maxnrvars = 195
% 0.72/1.58 excuselevel = 1
% 0.72/1.58 increasemaxweight = 1
% 0.72/1.58
% 0.72/1.58 maxselected = 10000000
% 0.72/1.58 maxnrclauses = 10000000
% 0.72/1.58
% 0.72/1.58 showgenerated = 0
% 0.72/1.58 showkept = 0
% 0.72/1.58 showselected = 0
% 0.72/1.58 showdeleted = 0
% 0.72/1.58 showresimp = 1
% 0.72/1.58 showstatus = 2000
% 0.72/1.58
% 0.72/1.58 prologoutput = 1
% 0.72/1.58 nrgoals = 5000000
% 0.72/1.58 totalproof = 1
% 0.72/1.58
% 0.72/1.58 Symbols occurring in the translation:
% 0.72/1.58
% 0.72/1.58 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.58 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 0.72/1.58 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 0.72/1.58 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.58 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.58 equidistant [41, 4] (w:1, o:60, a:1, s:1, b:0),
% 0.72/1.58 extension [46, 4] (w:1, o:61, a:1, s:1, b:0),
% 0.72/1.58 between [47, 3] (w:1, o:59, a:1, s:1, b:0),
% 0.72/1.58 'inner_pasch' [53, 5] (w:1, o:62, a:1, s:1, b:0),
% 0.72/1.58 'lower_dimension_point_1' [54, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.72/1.58 'lower_dimension_point_2' [55, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.72/1.58 'lower_dimension_point_3' [56, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.72/1.58 euclid1 [57, 5] (w:1, o:63, a:1, s:1, b:0),
% 0.72/1.58 euclid2 [58, 5] (w:1, o:64, a:1, s:1, b:0),
% 0.72/1.58 continuous [59, 6] (w:1, o:65, a:1, s:1, b:0),
% 0.72/1.58 reflection [60, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.72/1.58 a [63, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.72/1.58 c [64, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.72/1.58 d [65, 0] (w:1, o:27, a:1, s:1, b:0).
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58 Starting Search:
% 0.72/1.58
% 0.72/1.58 Resimplifying inuse:
% 0.72/1.58 Done
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58 Intermediate Status:
% 0.72/1.58 Generated: 10128
% 0.72/1.58 Kept: 2008
% 0.72/1.58 Inuse: 130
% 0.72/1.58 Deleted: 0
% 0.72/1.58 Deletedinuse: 0
% 0.72/1.58
% 0.72/1.58 Resimplifying inuse:
% 0.72/1.58 Done
% 0.72/1.58
% 0.72/1.58 Resimplifying inuse:
% 0.72/1.58 Done
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58 Intermediate Status:
% 0.72/1.58 Generated: 19429
% 0.72/1.58 Kept: 4034
% 0.72/1.58 Inuse: 165
% 0.72/1.58 Deleted: 1
% 0.72/1.58 Deletedinuse: 0
% 0.72/1.58
% 0.72/1.58 Resimplifying inuse:
% 0.72/1.58 Done
% 0.72/1.58
% 0.72/1.58 Resimplifying inuse:
% 0.72/1.58 Done
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58 Intermediate Status:
% 0.72/1.58 Generated: 30556
% 0.72/1.58 Kept: 6040
% 0.72/1.58 Inuse: 210
% 0.72/1.58 Deleted: 2
% 0.72/1.58 Deletedinuse: 0
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58 Bliksems!, er is een bewijs:
% 0.72/1.58 % SZS status Unsatisfiable
% 0.72/1.58 % SZS output start Refutation
% 0.72/1.58
% 0.72/1.58 clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.72/1.58 .
% 0.72/1.58 clause( 28, [ =( extension( Y, X, Z, Z ), X ) ] )
% 0.72/1.58 .
% 0.72/1.58 clause( 29, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ] )
% 0.72/1.58 .
% 0.72/1.58 clause( 32, [ ~( =( X, Y ) ), =( reflection( X, Y ), Y ) ] )
% 0.72/1.58 .
% 0.72/1.58 clause( 33, [ =( reflection( X, X ), X ) ] )
% 0.72/1.58 .
% 0.72/1.58 clause( 42, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 0.72/1.58 .
% 0.72/1.58 clause( 45, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 0.72/1.58 .
% 0.72/1.58 clause( 47, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ) ]
% 0.72/1.58 )
% 0.72/1.58 .
% 0.72/1.58 clause( 49, [ ~( =( c, a ) ) ] )
% 0.72/1.58 .
% 0.72/1.58 clause( 51, [ ~( =( d, c ) ) ] )
% 0.72/1.58 .
% 0.72/1.58 clause( 52, [ between( a, c, d ) ] )
% 0.72/1.58 .
% 0.72/1.58 clause( 53, [ between( c, a, d ), between( a, d, c ) ] )
% 0.72/1.58 .
% 0.72/1.58 clause( 189, [ ~( =( X, c ) ), ~( between( X, d, X ) ) ] )
% 0.72/1.58 .
% 0.72/1.58 clause( 478, [ between( d, c, a ) ] )
% 0.72/1.58 .
% 0.72/1.58 clause( 1791, [ ~( =( T, Y ) ), between( X, Y, T ) ] )
% 0.72/1.58 .
% 0.72/1.58 clause( 1815, [ ~( =( X, d ) ), ~( =( X, c ) ) ] )
% 0.72/1.58 .
% 0.72/1.58 clause( 1843, [ ~( =( X, Y ) ), =( Y, X ) ] )
% 0.72/1.58 .
% 0.72/1.58 clause( 1916, [ between( X, c, a ), ~( =( X, d ) ) ] )
% 0.72/1.58 .
% 0.72/1.58 clause( 6457, [ ~( =( X, d ) ), ~( between( c, X, a ) ) ] )
% 0.72/1.58 .
% 0.72/1.58 clause( 6497, [ ~( between( c, d, a ) ) ] )
% 0.72/1.58 .
% 0.72/1.58 clause( 6500, [ ~( between( a, d, c ) ) ] )
% 0.72/1.58 .
% 0.72/1.58 clause( 6545, [ between( c, a, d ) ] )
% 0.72/1.58 .
% 0.72/1.58 clause( 6594, [ =( c, a ) ] )
% 0.72/1.58 .
% 0.72/1.58 clause( 6607, [] )
% 0.72/1.58 .
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58 % SZS output end Refutation
% 0.72/1.58 found a proof!
% 0.72/1.58
% 0.72/1.58 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.72/1.58
% 0.72/1.58 initialclauses(
% 0.72/1.58 [ clause( 6609, [ equidistant( X, Y, Y, X ) ] )
% 0.72/1.58 , clause( 6610, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 0.72/1.58 W ) ), equidistant( Z, T, U, W ) ] )
% 0.72/1.58 , clause( 6611, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.72/1.58 , clause( 6612, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.72/1.58 , clause( 6613, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.72/1.58 , clause( 6614, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T,
% 0.72/1.58 W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) )
% 0.72/1.58 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 0.72/1.58 equidistant( U, V0, W, V1 ) ] )
% 0.72/1.58 , clause( 6615, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.72/1.58 , clause( 6616, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.72/1.58 Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 0.72/1.58 , clause( 6617, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.72/1.58 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 0.72/1.58 , clause( 6618, [ ~( between( 'lower_dimension_point_1',
% 0.72/1.58 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.72/1.58 , clause( 6619, [ ~( between( 'lower_dimension_point_2',
% 0.72/1.58 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.72/1.58 , clause( 6620, [ ~( between( 'lower_dimension_point_3',
% 0.72/1.58 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.72/1.58 , clause( 6621, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T,
% 0.72/1.58 Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U
% 0.72/1.58 , X ), between( U, X, T ), =( Y, Z ) ] )
% 0.72/1.58 , clause( 6622, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.72/1.58 ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 0.72/1.58 , clause( 6623, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.72/1.58 ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 0.72/1.58 , clause( 6624, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.72/1.58 ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ] )
% 0.72/1.58 , clause( 6625, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 0.72/1.58 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 0.72/1.58 continuous( X, Y, Z, W, T, U ), U ) ] )
% 0.72/1.58 , clause( 6626, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 0.72/1.58 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X,
% 0.72/1.58 W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 0.72/1.58 , clause( 6627, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 0.72/1.58 , clause( 6628, [ equidistant( X, Y, X, Y ) ] )
% 0.72/1.58 , clause( 6629, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y )
% 0.72/1.58 ] )
% 0.72/1.58 , clause( 6630, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T )
% 0.72/1.58 ] )
% 0.72/1.58 , clause( 6631, [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z )
% 0.72/1.58 ] )
% 0.72/1.58 , clause( 6632, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z )
% 0.72/1.58 ] )
% 0.72/1.58 , clause( 6633, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X )
% 0.72/1.58 ] )
% 0.72/1.58 , clause( 6634, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y )
% 0.72/1.58 ] )
% 0.72/1.58 , clause( 6635, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X )
% 0.72/1.58 ] )
% 0.72/1.58 , clause( 6636, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U,
% 0.72/1.58 W ) ), equidistant( X, Y, U, W ) ] )
% 0.72/1.58 , clause( 6637, [ =( X, extension( Y, X, Z, Z ) ) ] )
% 0.72/1.58 , clause( 6638, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X )
% 0.72/1.58 ] )
% 0.72/1.58 , clause( 6639, [ between( X, Y, reflection( X, Y ) ) ] )
% 0.72/1.58 , clause( 6640, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 0.72/1.58 , clause( 6641, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 0.72/1.58 , clause( 6642, [ =( X, reflection( X, X ) ) ] )
% 0.72/1.58 , clause( 6643, [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ] )
% 0.72/1.58 , clause( 6644, [ equidistant( X, X, Y, Y ) ] )
% 0.72/1.58 , clause( 6645, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T,
% 0.72/1.58 W ) ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X,
% 0.72/1.58 U, Z, W ) ] )
% 0.72/1.58 , clause( 6646, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~(
% 0.72/1.58 equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 0.72/1.58 , clause( 6647, [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, Y
% 0.72/1.58 , Y, Z ) ) ] )
% 0.72/1.58 , clause( 6648, [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y
% 0.72/1.58 ), extension( U, W, Z, T ) ), =( U, W ) ] )
% 0.72/1.58 , clause( 6649, [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ),
% 0.72/1.58 =( X, Y ) ] )
% 0.72/1.58 , clause( 6650, [ equidistant( X, Y, X, reflection( reflection( Y, X ), X )
% 0.72/1.58 ) ] )
% 0.72/1.58 , clause( 6651, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 0.72/1.58 , clause( 6652, [ between( X, Y, Y ) ] )
% 0.72/1.58 , clause( 6653, [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z
% 0.72/1.58 ) ] )
% 0.72/1.58 , clause( 6654, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 0.72/1.58 , clause( 6655, [ between( X, X, Y ) ] )
% 0.72/1.58 , clause( 6656, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y
% 0.72/1.58 ) ] )
% 0.72/1.58 , clause( 6657, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, Z
% 0.72/1.58 ) ] )
% 0.72/1.58 , clause( 6658, [ ~( =( a, c ) ) ] )
% 0.72/1.58 , clause( 6659, [ ~( =( a, d ) ) ] )
% 0.72/1.58 , clause( 6660, [ ~( =( c, d ) ) ] )
% 0.72/1.58 , clause( 6661, [ between( a, c, d ) ] )
% 0.72/1.58 , clause( 6662, [ between( c, a, d ), between( a, d, c ) ] )
% 0.72/1.58 ] ).
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58 subsumption(
% 0.72/1.58 clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.72/1.58 , clause( 6615, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.72/1.58 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.58 ), ==>( 1, 1 )] ) ).
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58 eqswap(
% 0.72/1.58 clause( 6755, [ =( extension( Y, X, Z, Z ), X ) ] )
% 0.72/1.58 , clause( 6637, [ =( X, extension( Y, X, Z, Z ) ) ] )
% 0.72/1.58 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58 subsumption(
% 0.72/1.58 clause( 28, [ =( extension( Y, X, Z, Z ), X ) ] )
% 0.72/1.58 , clause( 6755, [ =( extension( Y, X, Z, Z ), X ) ] )
% 0.72/1.58 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.58 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58 subsumption(
% 0.72/1.58 clause( 29, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ] )
% 0.72/1.58 , clause( 6638, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X )
% 0.72/1.58 ] )
% 0.72/1.58 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 0.72/1.58 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58 eqswap(
% 0.72/1.58 clause( 6881, [ =( reflection( Y, X ), X ), ~( =( Y, X ) ) ] )
% 0.72/1.58 , clause( 6641, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 0.72/1.58 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58 subsumption(
% 0.72/1.58 clause( 32, [ ~( =( X, Y ) ), =( reflection( X, Y ), Y ) ] )
% 0.72/1.58 , clause( 6881, [ =( reflection( Y, X ), X ), ~( =( Y, X ) ) ] )
% 0.72/1.58 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 0.72/1.58 ), ==>( 1, 0 )] ) ).
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58 eqswap(
% 0.72/1.58 clause( 6948, [ =( reflection( X, X ), X ) ] )
% 0.72/1.58 , clause( 6642, [ =( X, reflection( X, X ) ) ] )
% 0.72/1.58 , 0, substitution( 0, [ :=( X, X )] )).
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58 subsumption(
% 0.72/1.58 clause( 33, [ =( reflection( X, X ), X ) ] )
% 0.72/1.58 , clause( 6948, [ =( reflection( X, X ), X ) ] )
% 0.72/1.58 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58 eqswap(
% 0.72/1.58 clause( 7040, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 0.72/1.58 , clause( 6651, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 0.72/1.58 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58 subsumption(
% 0.72/1.58 clause( 42, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 0.72/1.58 , clause( 7040, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 0.72/1.58 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.72/1.58 )] ) ).
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58 subsumption(
% 0.72/1.58 clause( 45, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 0.72/1.58 , clause( 6654, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 0.72/1.58 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.58 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58 subsumption(
% 0.72/1.58 clause( 47, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ) ]
% 0.72/1.58 )
% 0.72/1.58 , clause( 6656, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y
% 0.72/1.58 ) ] )
% 0.72/1.58 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.72/1.58 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58 eqswap(
% 0.72/1.58 clause( 7323, [ ~( =( c, a ) ) ] )
% 0.72/1.58 , clause( 6658, [ ~( =( a, c ) ) ] )
% 0.72/1.58 , 0, substitution( 0, [] )).
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58 subsumption(
% 0.72/1.58 clause( 49, [ ~( =( c, a ) ) ] )
% 0.72/1.58 , clause( 7323, [ ~( =( c, a ) ) ] )
% 0.72/1.58 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58 eqswap(
% 0.72/1.58 clause( 7421, [ ~( =( d, c ) ) ] )
% 0.72/1.58 , clause( 6660, [ ~( =( c, d ) ) ] )
% 0.72/1.58 , 0, substitution( 0, [] )).
% 0.72/1.58
% 0.72/1.58
% 0.72/1.58 subsumption(
% 0.72/1.58 clause( 51, [ ~( =( d, c ) ) ] )
% 81.92/82.29 , clause( 7421, [ ~( =( d, c ) ) ] )
% 81.92/82.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 81.92/82.29
% 81.92/82.29
% 81.92/82.29 subsumption(
% 81.92/82.29 clause( 52, [ between( a, c, d ) ] )
% 81.92/82.29 , clause( 6661, [ between( a, c, d ) ] )
% 81.92/82.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 81.92/82.29
% 81.92/82.29
% 81.92/82.29 subsumption(
% 81.92/82.29 clause( 53, [ between( c, a, d ), between( a, d, c ) ] )
% 81.92/82.29 , clause( 6662, [ between( c, a, d ), between( a, d, c ) ] )
% 81.92/82.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 81.92/82.29 ).
% 81.92/82.29
% 81.92/82.29
% 81.92/82.29 eqswap(
% 81.92/82.29 clause( 7618, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 81.92/82.29 , clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 81.92/82.29 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 81.92/82.29
% 81.92/82.29
% 81.92/82.29 eqswap(
% 81.92/82.29 clause( 7619, [ ~( =( c, d ) ) ] )
% 81.92/82.29 , clause( 51, [ ~( =( d, c ) ) ] )
% 81.92/82.29 , 0, substitution( 0, [] )).
% 81.92/82.29
% 81.92/82.29
% 81.92/82.29 paramod(
% 81.92/82.29 clause( 7621, [ ~( =( c, X ) ), ~( between( X, d, X ) ) ] )
% 81.92/82.29 , clause( 7618, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 81.92/82.29 , 0, clause( 7619, [ ~( =( c, d ) ) ] )
% 81.92/82.29 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, d )] ), substitution( 1, [] )
% 81.92/82.29 ).
% 81.92/82.29
% 81.92/82.29
% 81.92/82.29 eqswap(
% 81.92/82.29 clause( 7663, [ ~( =( X, c ) ), ~( between( X, d, X ) ) ] )
% 81.92/82.29 , clause( 7621, [ ~( =( c, X ) ), ~( between( X, d, X ) ) ] )
% 81.92/82.29 , 0, substitution( 0, [ :=( X, X )] )).
% 81.92/82.29
% 81.92/82.29
% 81.92/82.29 subsumption(
% 81.92/82.29 clause( 189, [ ~( =( X, c ) ), ~( between( X, d, X ) ) ] )
% 81.92/82.29 , clause( 7663, [ ~( =( X, c ) ), ~( between( X, d, X ) ) ] )
% 81.92/82.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 81.92/82.29 1 )] ) ).
% 81.92/82.29
% 81.92/82.29
% 81.92/82.29 resolution(
% 81.92/82.29 clause( 19480, [ between( d, c, a ) ] )
% 81.92/82.29 , clause( 45, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 81.92/82.29 , 0, clause( 52, [ between( a, c, d ) ] )
% 81.92/82.29 , 0, substitution( 0, [ :=( X, a ), :=( Y, c ), :=( Z, d )] ),
% 81.92/82.29 substitution( 1, [] )).
% 81.92/82.29
% 81.92/82.29
% 81.92/82.29 subsumption(
% 81.92/82.29 clause( 478, [ between( d, c, a ) ] )
% 81.92/82.29 , clause( 19480, [ between( d, c, a ) ] )
% 81.92/82.29 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 81.92/82.29
% 81.92/82.29
% 81.92/82.29 eqswap(
% 81.92/82.29 clause( 19482, [ ~( =( extension( Y, Z, T, U ), X ) ), between( Y, Z, X ) ]
% 81.92/82.29 )
% 81.92/82.29 , clause( 29, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ]
% 81.92/82.29 )
% 81.92/82.29 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 81.92/82.29 :=( U, U )] )).
% 81.92/82.29
% 81.92/82.29
% 81.92/82.29 paramod(
% 81.92/82.29 clause( 19483, [ ~( =( Y, T ) ), between( X, Y, T ) ] )
% 81.92/82.29 , clause( 28, [ =( extension( Y, X, Z, Z ), X ) ] )
% 81.92/82.29 , 0, clause( 19482, [ ~( =( extension( Y, Z, T, U ), X ) ), between( Y, Z,
% 81.92/82.29 X ) ] )
% 81.92/82.29 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 81.92/82.29 substitution( 1, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z ), :=( U
% 81.92/82.29 , Z )] )).
% 81.92/82.29
% 81.92/82.29
% 81.92/82.29 eqswap(
% 81.92/82.29 clause( 19484, [ ~( =( Y, X ) ), between( Z, X, Y ) ] )
% 81.92/82.29 , clause( 19483, [ ~( =( Y, T ) ), between( X, Y, T ) ] )
% 81.92/82.29 , 0, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, T ), :=( T, Y )] )
% 81.92/82.29 ).
% 81.92/82.29
% 81.92/82.29
% 81.92/82.29 subsumption(
% 81.92/82.29 clause( 1791, [ ~( =( T, Y ) ), between( X, Y, T ) ] )
% 81.92/82.29 , clause( 19484, [ ~( =( Y, X ) ), between( Z, X, Y ) ] )
% 81.92/82.29 , substitution( 0, [ :=( X, Y ), :=( Y, T ), :=( Z, X )] ),
% 81.92/82.29 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 81.92/82.29
% 81.92/82.29
% 81.92/82.29 eqswap(
% 81.92/82.29 clause( 19485, [ ~( =( Y, X ) ), between( Z, Y, X ) ] )
% 81.92/82.29 , clause( 1791, [ ~( =( T, Y ) ), between( X, Y, T ) ] )
% 81.92/82.29 , 0, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, X )] )
% 81.92/82.29 ).
% 81.92/82.29
% 81.92/82.29
% 81.92/82.29 eqswap(
% 81.92/82.29 clause( 19486, [ ~( =( c, X ) ), ~( between( X, d, X ) ) ] )
% 81.92/82.29 , clause( 189, [ ~( =( X, c ) ), ~( between( X, d, X ) ) ] )
% 81.92/82.29 , 0, substitution( 0, [ :=( X, X )] )).
% 81.92/82.29
% 81.92/82.29
% 81.92/82.29 resolution(
% 81.92/82.29 clause( 19487, [ ~( =( c, X ) ), ~( =( d, X ) ) ] )
% 81.92/82.29 , clause( 19486, [ ~( =( c, X ) ), ~( between( X, d, X ) ) ] )
% 81.92/82.29 , 1, clause( 19485, [ ~( =( Y, X ) ), between( Z, Y, X ) ] )
% 81.92/82.29 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ), :=( Y
% 81.92/82.29 , d ), :=( Z, X )] )).
% 81.92/82.29
% 81.92/82.29
% 81.92/82.29 eqswap(
% 81.92/82.29 clause( 19489, [ ~( =( X, d ) ), ~( =( c, X ) ) ] )
% 81.92/82.29 , clause( 19487, [ ~( =( c, X ) ), ~( =( d, X ) ) ] )
% 81.92/82.29 , 1, substitution( 0, [ :=( X, X )] )).
% 81.92/82.29
% 81.92/82.29
% 81.92/82.29 eqswap(
% 81.92/82.29 clause( 19490, [ ~( =( X, c ) ), ~( =( X, d ) ) ] )
% 81.92/82.29 , clause( 19489, [ ~( =( X, d ) ), ~( =( c, X ) ) ] )
% 81.92/82.29 , 1, substitution( 0, [ :=( X, X )] )).
% 81.92/82.29
% 81.92/82.29
% 81.92/82.29 subsumption(
% 81.92/82.29 clause( 1815, [ ~( =( X, d ) ), ~( =( X, c ) ) ] )
% 81.92/82.29 , clause( 19490, [ ~( =( X, c ) ), ~( =( X, d ) ) ] )
% 81.92/82.29 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 81.92/82.29 0 )] ) ).
% 81.92/82.29
% 81.92/82.29
% 81.92/82.29 eqswap(
% 81.92/82.29 clause( 19491, [ ~(Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------