TSTP Solution File: GEO001-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO001-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.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 02:50:40 EDT 2022
% Result : Unsatisfiable 52.14s 52.53s
% Output : Refutation 52.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO001-3 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n003.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 07:14:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.15/3.55 *** allocated 10000 integers for termspace/termends
% 3.15/3.55 *** allocated 10000 integers for clauses
% 3.15/3.55 *** allocated 10000 integers for justifications
% 3.15/3.55 Bliksem 1.12
% 3.15/3.55
% 3.15/3.55
% 3.15/3.55 Automatic Strategy Selection
% 3.15/3.55
% 3.15/3.55 Clauses:
% 3.15/3.55 [
% 3.15/3.55 [ equidistant( X, Y, Y, X ) ],
% 3.15/3.55 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 3.15/3.55 equidistant( Z, T, U, W ) ],
% 3.15/3.55 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 3.15/3.55 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 3.15/3.55 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 3.15/3.55 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 3.15/3.55 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 3.15/3.55 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 3.15/3.55 , V0, W, V1 ) ],
% 3.15/3.55 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 3.15/3.55 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 3.15/3.55 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 3.15/3.55 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 3.15/3.55 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 3.15/3.55 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 3.15/3.55 'lower_dimension_point_3' ) ) ],
% 3.15/3.55 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 3.15/3.55 'lower_dimension_point_1' ) ) ],
% 3.15/3.55 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 3.15/3.55 'lower_dimension_point_2' ) ) ],
% 3.15/3.55 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 3.15/3.55 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 3.15/3.55 between( U, X, T ), =( Y, Z ) ],
% 3.15/3.55 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 3.15/3.55 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 3.15/3.55 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 3.15/3.55 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 3.15/3.55 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 3.15/3.55 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 3.15/3.55 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 3.15/3.55 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 3.15/3.55 , Y, Z, W, T, U ), U ) ],
% 3.15/3.55 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 3.15/3.55 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 3.15/3.55 continuous( X, Y, Z, W, T, U ) ) ],
% 3.15/3.55 [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ],
% 3.15/3.55 [ equidistant( X, Y, X, Y ) ],
% 3.15/3.55 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ],
% 3.15/3.55 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ],
% 3.15/3.55 [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z ) ],
% 3.15/3.55 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z ) ],
% 3.15/3.55 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X ) ],
% 3.15/3.55 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y ) ],
% 3.15/3.55 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X ) ],
% 3.15/3.55 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U, W ) ),
% 3.15/3.55 equidistant( X, Y, U, W ) ],
% 3.15/3.55 [ =( X, extension( Y, X, Z, Z ) ) ],
% 3.15/3.55 [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ],
% 3.15/3.55 [ between( X, Y, reflection( X, Y ) ) ],
% 3.15/3.55 [ equidistant( X, reflection( Y, X ), Y, X ) ],
% 3.15/3.55 [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ],
% 3.15/3.55 [ =( X, reflection( X, X ) ) ],
% 3.15/3.55 [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ],
% 3.15/3.55 [ equidistant( X, X, Y, Y ) ],
% 3.15/3.55 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 3.15/3.55 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X, U, Z, W )
% 3.15/3.55 ],
% 3.15/3.55 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~( equidistant( Y, Z
% 3.15/3.55 , Y, T ) ), =( X, Y ), =( Z, T ) ],
% 3.15/3.55 [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, Y, Y, Z ) ) ]
% 3.15/3.55 ,
% 3.15/3.55 [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y ), extension(
% 3.15/3.55 U, W, Z, T ) ), =( U, W ) ],
% 3.15/3.55 [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ), =( X, Y ) ]
% 3.15/3.55 ,
% 3.15/3.55 [ equidistant( X, Y, X, reflection( reflection( Y, X ), X ) ) ],
% 3.15/3.55 [ =( X, reflection( reflection( X, Y ), Y ) ) ],
% 3.15/3.55 [ between( X, Y, Y ) ],
% 3.15/3.55 [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z ) ],
% 3.15/3.55 [ between( a, b, c ) ],
% 3.15/3.55 [ ~( between( c, b, a ) ) ]
% 3.15/3.55 ] .
% 3.15/3.55
% 3.15/3.55
% 3.15/3.55 percentage equality = 0.223214, percentage horn = 0.808511
% 52.14/52.53 This is a problem with some equality
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 Options Used:
% 52.14/52.53
% 52.14/52.53 useres = 1
% 52.14/52.53 useparamod = 1
% 52.14/52.53 useeqrefl = 1
% 52.14/52.53 useeqfact = 1
% 52.14/52.53 usefactor = 1
% 52.14/52.53 usesimpsplitting = 0
% 52.14/52.53 usesimpdemod = 5
% 52.14/52.53 usesimpres = 3
% 52.14/52.53
% 52.14/52.53 resimpinuse = 1000
% 52.14/52.53 resimpclauses = 20000
% 52.14/52.53 substype = eqrewr
% 52.14/52.53 backwardsubs = 1
% 52.14/52.53 selectoldest = 5
% 52.14/52.53
% 52.14/52.53 litorderings [0] = split
% 52.14/52.53 litorderings [1] = extend the termordering, first sorting on arguments
% 52.14/52.53
% 52.14/52.53 termordering = kbo
% 52.14/52.53
% 52.14/52.53 litapriori = 0
% 52.14/52.53 termapriori = 1
% 52.14/52.53 litaposteriori = 0
% 52.14/52.53 termaposteriori = 0
% 52.14/52.53 demodaposteriori = 0
% 52.14/52.53 ordereqreflfact = 0
% 52.14/52.53
% 52.14/52.53 litselect = negord
% 52.14/52.53
% 52.14/52.53 maxweight = 15
% 52.14/52.53 maxdepth = 30000
% 52.14/52.53 maxlength = 115
% 52.14/52.53 maxnrvars = 195
% 52.14/52.53 excuselevel = 1
% 52.14/52.53 increasemaxweight = 1
% 52.14/52.53
% 52.14/52.53 maxselected = 10000000
% 52.14/52.53 maxnrclauses = 10000000
% 52.14/52.53
% 52.14/52.53 showgenerated = 0
% 52.14/52.53 showkept = 0
% 52.14/52.53 showselected = 0
% 52.14/52.53 showdeleted = 0
% 52.14/52.53 showresimp = 1
% 52.14/52.53 showstatus = 2000
% 52.14/52.53
% 52.14/52.53 prologoutput = 1
% 52.14/52.53 nrgoals = 5000000
% 52.14/52.53 totalproof = 1
% 52.14/52.53
% 52.14/52.53 Symbols occurring in the translation:
% 52.14/52.53
% 52.14/52.53 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 52.14/52.53 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 52.14/52.53 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 52.14/52.53 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 52.14/52.53 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 52.14/52.53 equidistant [41, 4] (w:1, o:60, a:1, s:1, b:0),
% 52.14/52.53 extension [46, 4] (w:1, o:61, a:1, s:1, b:0),
% 52.14/52.53 between [47, 3] (w:1, o:59, a:1, s:1, b:0),
% 52.14/52.53 'inner_pasch' [53, 5] (w:1, o:62, a:1, s:1, b:0),
% 52.14/52.53 'lower_dimension_point_1' [54, 0] (w:1, o:22, a:1, s:1, b:0),
% 52.14/52.53 'lower_dimension_point_2' [55, 0] (w:1, o:23, a:1, s:1, b:0),
% 52.14/52.53 'lower_dimension_point_3' [56, 0] (w:1, o:24, a:1, s:1, b:0),
% 52.14/52.53 euclid1 [57, 5] (w:1, o:63, a:1, s:1, b:0),
% 52.14/52.53 euclid2 [58, 5] (w:1, o:64, a:1, s:1, b:0),
% 52.14/52.53 continuous [59, 6] (w:1, o:65, a:1, s:1, b:0),
% 52.14/52.53 reflection [60, 2] (w:1, o:58, a:1, s:1, b:0),
% 52.14/52.53 a [63, 0] (w:1, o:25, a:1, s:1, b:0),
% 52.14/52.53 b [64, 0] (w:1, o:26, a:1, s:1, b:0),
% 52.14/52.53 c [65, 0] (w:1, o:27, a:1, s:1, b:0).
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 Starting Search:
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 Intermediate Status:
% 52.14/52.53 Generated: 9625
% 52.14/52.53 Kept: 2028
% 52.14/52.53 Inuse: 122
% 52.14/52.53 Deleted: 0
% 52.14/52.53 Deletedinuse: 0
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 Intermediate Status:
% 52.14/52.53 Generated: 18900
% 52.14/52.53 Kept: 4045
% 52.14/52.53 Inuse: 158
% 52.14/52.53 Deleted: 0
% 52.14/52.53 Deletedinuse: 0
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 Intermediate Status:
% 52.14/52.53 Generated: 35203
% 52.14/52.53 Kept: 6056
% 52.14/52.53 Inuse: 234
% 52.14/52.53 Deleted: 8
% 52.14/52.53 Deletedinuse: 0
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 Intermediate Status:
% 52.14/52.53 Generated: 47010
% 52.14/52.53 Kept: 8064
% 52.14/52.53 Inuse: 306
% 52.14/52.53 Deleted: 13
% 52.14/52.53 Deletedinuse: 1
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 Intermediate Status:
% 52.14/52.53 Generated: 59061
% 52.14/52.53 Kept: 10131
% 52.14/52.53 Inuse: 359
% 52.14/52.53 Deleted: 13
% 52.14/52.53 Deletedinuse: 1
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 Intermediate Status:
% 52.14/52.53 Generated: 71455
% 52.14/52.53 Kept: 12131
% 52.14/52.53 Inuse: 427
% 52.14/52.53 Deleted: 14
% 52.14/52.53 Deletedinuse: 2
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 Intermediate Status:
% 52.14/52.53 Generated: 87717
% 52.14/52.53 Kept: 14142
% 52.14/52.53 Inuse: 514
% 52.14/52.53 Deleted: 18
% 52.14/52.53 Deletedinuse: 4
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 Intermediate Status:
% 52.14/52.53 Generated: 98203
% 52.14/52.53 Kept: 16156
% 52.14/52.53 Inuse: 536
% 52.14/52.53 Deleted: 19
% 52.14/52.53 Deletedinuse: 4
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 Intermediate Status:
% 52.14/52.53 Generated: 115030
% 52.14/52.53 Kept: 18159
% 52.14/52.53 Inuse: 591
% 52.14/52.53 Deleted: 19
% 52.14/52.53 Deletedinuse: 4
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53 Resimplifying clauses:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 Intermediate Status:
% 52.14/52.53 Generated: 129682
% 52.14/52.53 Kept: 20172
% 52.14/52.53 Inuse: 655
% 52.14/52.53 Deleted: 193
% 52.14/52.53 Deletedinuse: 6
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 Intermediate Status:
% 52.14/52.53 Generated: 144073
% 52.14/52.53 Kept: 22188
% 52.14/52.53 Inuse: 715
% 52.14/52.53 Deleted: 193
% 52.14/52.53 Deletedinuse: 6
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 Intermediate Status:
% 52.14/52.53 Generated: 158064
% 52.14/52.53 Kept: 24194
% 52.14/52.53 Inuse: 776
% 52.14/52.53 Deleted: 193
% 52.14/52.53 Deletedinuse: 6
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 Intermediate Status:
% 52.14/52.53 Generated: 232623
% 52.14/52.53 Kept: 26209
% 52.14/52.53 Inuse: 830
% 52.14/52.53 Deleted: 193
% 52.14/52.53 Deletedinuse: 6
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 Intermediate Status:
% 52.14/52.53 Generated: 351093
% 52.14/52.53 Kept: 28221
% 52.14/52.53 Inuse: 900
% 52.14/52.53 Deleted: 193
% 52.14/52.53 Deletedinuse: 6
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 Intermediate Status:
% 52.14/52.53 Generated: 497649
% 52.14/52.53 Kept: 30226
% 52.14/52.53 Inuse: 993
% 52.14/52.53 Deleted: 193
% 52.14/52.53 Deletedinuse: 6
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 Intermediate Status:
% 52.14/52.53 Generated: 607312
% 52.14/52.53 Kept: 32254
% 52.14/52.53 Inuse: 1125
% 52.14/52.53 Deleted: 193
% 52.14/52.53 Deletedinuse: 6
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 Intermediate Status:
% 52.14/52.53 Generated: 649369
% 52.14/52.53 Kept: 35371
% 52.14/52.53 Inuse: 1153
% 52.14/52.53 Deleted: 195
% 52.14/52.53 Deletedinuse: 6
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 Intermediate Status:
% 52.14/52.53 Generated: 688851
% 52.14/52.53 Kept: 37378
% 52.14/52.53 Inuse: 1220
% 52.14/52.53 Deleted: 195
% 52.14/52.53 Deletedinuse: 6
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 Intermediate Status:
% 52.14/52.53 Generated: 759826
% 52.14/52.53 Kept: 39382
% 52.14/52.53 Inuse: 1319
% 52.14/52.53 Deleted: 195
% 52.14/52.53 Deletedinuse: 6
% 52.14/52.53
% 52.14/52.53 Resimplifying inuse:
% 52.14/52.53 Done
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 Bliksems!, er is een bewijs:
% 52.14/52.53 % SZS status Unsatisfiable
% 52.14/52.53 % SZS output start Refutation
% 52.14/52.53
% 52.14/52.53 clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 52.14/52.53 .
% 52.14/52.53 clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 52.14/52.53 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 52.14/52.53 .
% 52.14/52.53 clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 52.14/52.53 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 52.14/52.53 .
% 52.14/52.53 clause( 43, [ between( X, Y, Y ) ] )
% 52.14/52.53 .
% 52.14/52.53 clause( 45, [ between( a, b, c ) ] )
% 52.14/52.53 .
% 52.14/52.53 clause( 46, [ ~( between( c, b, a ) ) ] )
% 52.14/52.53 .
% 52.14/52.53 clause( 330, [ ~( between( X, Y, c ) ), between( b, 'inner_pasch'( a, b, c
% 52.14/52.53 , Y, X ), X ) ] )
% 52.14/52.53 .
% 52.14/52.53 clause( 39747, [ between( b, 'inner_pasch'( a, b, c, c, X ), X ) ] )
% 52.14/52.53 .
% 52.14/52.53 clause( 39798, [ =( 'inner_pasch'( a, b, c, c, b ), b ) ] )
% 52.14/52.53 .
% 52.14/52.53 clause( 39925, [ ~( between( b, c, c ) ), between( c, b, a ) ] )
% 52.14/52.53 .
% 52.14/52.53 clause( 39938, [] )
% 52.14/52.53 .
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 % SZS output end Refutation
% 52.14/52.53 found a proof!
% 52.14/52.53
% 52.14/52.53 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 52.14/52.53
% 52.14/52.53 initialclauses(
% 52.14/52.53 [ clause( 39940, [ equidistant( X, Y, Y, X ) ] )
% 52.14/52.53 , clause( 39941, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 52.14/52.53 , W ) ), equidistant( Z, T, U, W ) ] )
% 52.14/52.53 , clause( 39942, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 52.14/52.53 , clause( 39943, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 52.14/52.53 , clause( 39944, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 52.14/52.53 , clause( 39945, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 52.14/52.53 , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 52.14/52.53 ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 52.14/52.53 equidistant( U, V0, W, V1 ) ] )
% 52.14/52.53 , clause( 39946, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 52.14/52.53 , clause( 39947, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 52.14/52.53 between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 52.14/52.53 , clause( 39948, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 52.14/52.53 between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 52.14/52.53 , clause( 39949, [ ~( between( 'lower_dimension_point_1',
% 52.14/52.53 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 52.14/52.53 , clause( 39950, [ ~( between( 'lower_dimension_point_2',
% 52.14/52.53 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 52.14/52.53 , clause( 39951, [ ~( between( 'lower_dimension_point_3',
% 52.14/52.53 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 52.14/52.53 , clause( 39952, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 52.14/52.53 , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T,
% 52.14/52.53 U, X ), between( U, X, T ), =( Y, Z ) ] )
% 52.14/52.53 , clause( 39953, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 52.14/52.53 Y ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 52.14/52.53 , clause( 39954, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 52.14/52.53 Y ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 52.14/52.53 , clause( 39955, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 52.14/52.53 Y ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ]
% 52.14/52.53 )
% 52.14/52.53 , clause( 39956, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 52.14/52.53 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 52.14/52.53 continuous( X, Y, Z, W, T, U ), U ) ] )
% 52.14/52.53 , clause( 39957, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 52.14/52.53 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 52.14/52.53 , W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 52.14/52.53 , clause( 39958, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 52.14/52.53 , clause( 39959, [ equidistant( X, Y, X, Y ) ] )
% 52.14/52.53 , clause( 39960, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y
% 52.14/52.53 ) ] )
% 52.14/52.53 , clause( 39961, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T
% 52.14/52.53 ) ] )
% 52.14/52.53 , clause( 39962, [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z
% 52.14/52.53 ) ] )
% 52.14/52.53 , clause( 39963, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z
% 52.14/52.53 ) ] )
% 52.14/52.53 , clause( 39964, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X
% 52.14/52.53 ) ] )
% 52.14/52.53 , clause( 39965, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y
% 52.14/52.53 ) ] )
% 52.14/52.53 , clause( 39966, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X
% 52.14/52.53 ) ] )
% 52.14/52.53 , clause( 39967, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U
% 52.14/52.53 , W ) ), equidistant( X, Y, U, W ) ] )
% 52.14/52.53 , clause( 39968, [ =( X, extension( Y, X, Z, Z ) ) ] )
% 52.14/52.53 , clause( 39969, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X )
% 52.14/52.53 ] )
% 52.14/52.53 , clause( 39970, [ between( X, Y, reflection( X, Y ) ) ] )
% 52.14/52.53 , clause( 39971, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 52.14/52.53 , clause( 39972, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 52.14/52.53 , clause( 39973, [ =( X, reflection( X, X ) ) ] )
% 52.14/52.53 , clause( 39974, [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ] )
% 52.14/52.53 , clause( 39975, [ equidistant( X, X, Y, Y ) ] )
% 52.14/52.53 , clause( 39976, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 52.14/52.53 , W ) ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X
% 52.14/52.53 , U, Z, W ) ] )
% 52.14/52.53 , clause( 39977, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~(
% 52.14/52.53 equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 52.14/52.53 , clause( 39978, [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X,
% 52.14/52.53 Y, Y, Z ) ) ] )
% 52.14/52.53 , clause( 39979, [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y
% 52.14/52.53 ), extension( U, W, Z, T ) ), =( U, W ) ] )
% 52.14/52.53 , clause( 39980, [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ),
% 52.14/52.53 =( X, Y ) ] )
% 52.14/52.53 , clause( 39981, [ equidistant( X, Y, X, reflection( reflection( Y, X ), X
% 52.14/52.53 ) ) ] )
% 52.14/52.53 , clause( 39982, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 52.14/52.53 , clause( 39983, [ between( X, Y, Y ) ] )
% 52.14/52.53 , clause( 39984, [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y,
% 52.14/52.53 Z ) ] )
% 52.14/52.53 , clause( 39985, [ between( a, b, c ) ] )
% 52.14/52.53 , clause( 39986, [ ~( between( c, b, a ) ) ] )
% 52.14/52.53 ] ).
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 subsumption(
% 52.14/52.53 clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 52.14/52.53 , clause( 39946, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 52.14/52.53 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 52.14/52.53 ), ==>( 1, 1 )] ) ).
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 subsumption(
% 52.14/52.53 clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 52.14/52.53 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 52.14/52.53 , clause( 39947, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 52.14/52.53 between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 52.14/52.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 52.14/52.53 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 52.14/52.53 ).
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 subsumption(
% 52.14/52.53 clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 52.14/52.53 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 52.14/52.53 , clause( 39948, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 52.14/52.53 between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 52.14/52.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 52.14/52.53 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 52.14/52.53 ).
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 subsumption(
% 52.14/52.53 clause( 43, [ between( X, Y, Y ) ] )
% 52.14/52.53 , clause( 39983, [ between( X, Y, Y ) ] )
% 52.14/52.53 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 52.14/52.53 )] ) ).
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 subsumption(
% 52.14/52.53 clause( 45, [ between( a, b, c ) ] )
% 52.14/52.53 , clause( 39985, [ between( a, b, c ) ] )
% 52.14/52.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 52.14/52.53
% 52.14/52.53
% 52.14/52.53 subsumption(
% 52.14/52.53 clause( 46, [ ~( between( c, b, a ) ) ] )
% 52.14/52.53 , clause( 39986, [ ~( between( c, b, a ) ) ] )
% 52.14/52.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 52.14/52.54
% 52.14/52.54
% 52.14/52.54 resolution(
% 52.14/52.54 clause( 40364, [ ~( between( X, Y, c ) ), between( b, 'inner_pasch'( a, b,
% 52.14/52.54 c, Y, X ), X ) ] )
% 52.14/52.54 , clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y
% 52.14/52.54 , 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 52.14/52.54 , 0, clause( 45, [ between( a, b, c ) ] )
% 52.14/52.54 , 0, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, c ), :=( T, X ),
% 52.14/52.54 :=( U, Y )] ), substitution( 1, [] )).
% 52.14/52.54
% 52.14/52.54
% 52.14/52.54 subsumption(
% 52.14/52.54 clause( 330, [ ~( between( X, Y, c ) ), between( b, 'inner_pasch'( a, b, c
% 52.14/52.54 , Y, X ), X ) ] )
% 52.14/52.54 , clause( 40364, [ ~( between( X, Y, c ) ), between( b, 'inner_pasch'( a, b
% 52.14/52.54 , c, Y, X ), X ) ] )
% 52.14/52.54 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 52.14/52.54 ), ==>( 1, 1 )] ) ).
% 52.14/52.54
% 52.14/52.54
% 52.14/52.54 resolution(
% 52.14/52.54 clause( 40366, [ between( b, 'inner_pasch'( a, b, c, c, X ), X ) ] )
% 52.14/52.54 , clause( 330, [ ~( between( X, Y, c ) ), between( b, 'inner_pasch'( a, b,
% 52.14/52.54 c, Y, X ), X ) ] )
% 52.14/52.54 , 0, clause( 43, [ between( X, Y, Y ) ] )
% 52.14/52.54 , 0, substitution( 0, [ :=( X, X ), :=( Y, c )] ), substitution( 1, [ :=( X
% 52.14/52.54 , X ), :=( Y, c )] )).
% 52.14/52.54
% 52.14/52.54
% 52.14/52.54 subsumption(
% 52.14/52.54 clause( 39747, [ between( b, 'inner_pasch'( a, b, c, c, X ), X ) ] )
% 52.14/52.54 , clause( 40366, [ between( b, 'inner_pasch'( a, b, c, c, X ), X ) ] )
% 52.14/52.54 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 52.14/52.54
% 52.14/52.54
% 52.14/52.54 eqswap(
% 52.14/52.54 clause( 40367, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 52.14/52.54 , clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 52.14/52.54 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 52.14/52.54
% 52.14/52.54
% 52.14/52.54 resolution(
% 52.14/52.54 clause( 40368, [ =( 'inner_pasch'( a, b, c, c, b ), b ) ] )
% 52.14/52.54 , clause( 40367, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 52.14/52.54 , 1, clause( 39747, [ between( b, 'inner_pasch'( a, b, c, c, X ), X ) ] )
% 52.14/52.54 , 0, substitution( 0, [ :=( X, b ), :=( Y, 'inner_pasch'( a, b, c, c, b ) )] )
% 52.14/52.54 , substitution( 1, [ :=( X, b )] )).
% 52.14/52.54
% 52.14/52.54
% 52.14/52.54 subsumption(
% 52.14/52.54 clause( 39798, [ =( 'inner_pasch'( a, b, c, c, b ), b ) ] )
% 52.14/52.54 , clause( 40368, [ =( 'inner_pasch'( a, b, c, c, b ), b ) ] )
% 52.14/52.54 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 52.14/52.54
% 52.14/52.54
% 52.14/52.54 paramod(
% 52.14/52.54 clause( 40371, [ between( c, b, a ), ~( between( a, b, c ) ), ~( between( b
% 52.14/52.54 , c, c ) ) ] )
% 52.14/52.54 , clause( 39798, [ =( 'inner_pasch'( a, b, c, c, b ), b ) ] )
% 52.14/52.54 , 0, clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 52.14/52.54 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 52.14/52.54 , 2, 2, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ),
% 52.14/52.54 :=( Z, c ), :=( T, b ), :=( U, c )] )).
% 52.14/52.54
% 52.14/52.54
% 52.14/52.54 resolution(
% 52.14/52.54 clause( 40372, [ between( c, b, a ), ~( between( b, c, c ) ) ] )
% 52.14/52.54 , clause( 40371, [ between( c, b, a ), ~( between( a, b, c ) ), ~( between(
% 52.14/52.54 b, c, c ) ) ] )
% 52.14/52.54 , 1, clause( 45, [ between( a, b, c ) ] )
% 52.14/52.54 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 52.14/52.54
% 52.14/52.54
% 52.14/52.54 subsumption(
% 52.14/52.54 clause( 39925, [ ~( between( b, c, c ) ), between( c, b, a ) ] )
% 52.14/52.54 , clause( 40372, [ between( c, b, a ), ~( between( b, c, c ) ) ] )
% 52.14/52.54 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 52.14/52.54 ).
% 52.14/52.54
% 52.14/52.54
% 52.14/52.54 resolution(
% 52.14/52.54 clause( 40373, [ between( c, b, a ) ] )
% 52.14/52.54 , clause( 39925, [ ~( between( b, c, c ) ), between( c, b, a ) ] )
% 52.14/52.54 , 0, clause( 43, [ between( X, Y, Y ) ] )
% 52.14/52.54 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, c )] )
% 52.14/52.54 ).
% 52.14/52.54
% 52.14/52.54
% 52.14/52.54 resolution(
% 52.14/52.54 clause( 40374, [] )
% 52.14/52.54 , clause( 46, [ ~( between( c, b, a ) ) ] )
% 52.14/52.54 , 0, clause( 40373, [ between( c, b, a ) ] )
% 52.14/52.54 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 52.14/52.54
% 52.14/52.54
% 52.14/52.54 subsumption(
% 52.14/52.54 clause( 39938, [] )
% 52.14/52.54 , clause( 40374, [] )
% 52.14/52.54 , substitution( 0, [] ), permutation( 0, [] ) ).
% 52.14/52.54
% 52.14/52.54
% 52.14/52.54 end.
% 52.14/52.54
% 52.14/52.54 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 52.14/52.54
% 52.14/52.54 Memory use:
% 52.14/52.54
% 52.14/52.54 space for terms: 620410
% 52.14/52.54 space for clauses: 1688238
% 52.14/52.54
% 52.14/52.54
% 52.14/52.54 clauses generated: 770191
% 52.14/52.54 clauses kept: 39939
% 52.14/52.54 clauses selected: 1333
% 52.14/52.54 clauses deleted: 209
% 52.14/52.54 clauses inuse deleted: 6
% 52.14/52.54
% 52.14/52.54 subsentry: 1662415
% 52.14/52.54 literals s-matched: 964710
% 52.14/52.54 literals matched: 774718
% 52.14/52.54 full subsumption: 512292
% 52.14/52.54
% 52.14/52.54 checksum: -1522414929
% 52.14/52.54
% 52.14/52.54
% 52.14/52.54 Bliksem ended
%------------------------------------------------------------------------------