TSTP Solution File: GEO007-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO007-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 02:50:45 EDT 2022
% Result : Unsatisfiable 63.47s 63.87s
% Output : Refutation 63.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO007-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.04/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Sat Jun 18 02:13:54 EDT 2022
% 0.14/0.35 % CPUTime :
% 63.47/63.87 *** allocated 10000 integers for termspace/termends
% 63.47/63.87 *** allocated 10000 integers for clauses
% 63.47/63.87 *** allocated 10000 integers for justifications
% 63.47/63.87 Bliksem 1.12
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 Automatic Strategy Selection
% 63.47/63.87
% 63.47/63.87 Clauses:
% 63.47/63.87 [
% 63.47/63.87 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 63.47/63.87 [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X, Y, T ) ]
% 63.47/63.87 ,
% 63.47/63.87 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between(
% 63.47/63.87 X, Z, T ), between( X, T, Z ) ],
% 63.47/63.87 [ equidistant( X, Y, Y, X ) ],
% 63.47/63.87 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 63.47/63.87 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 63.47/63.87 equidistant( Z, T, U, W ) ],
% 63.47/63.87 [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( X,
% 63.47/63.87 'outer_pasch'( Y, X, T, U, Z ), T ) ],
% 63.47/63.87 [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( U, Y,
% 63.47/63.87 'outer_pasch'( Y, X, T, U, Z ) ) ],
% 63.47/63.87 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 63.47/63.87 X, U, euclid1( Z, X, T, U, Y ) ) ],
% 63.47/63.87 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 63.47/63.87 X, T, euclid2( Z, X, T, U, Y ) ) ],
% 63.47/63.87 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 63.47/63.87 euclid1( Z, X, T, U, Y ), Z, euclid2( Z, X, T, U, Y ) ) ],
% 63.47/63.87 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 63.47/63.87 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 63.47/63.87 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 63.47/63.87 , V0, W, V1 ) ],
% 63.47/63.87 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 63.47/63.87 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 63.47/63.87 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 63.47/63.87 'lower_dimension_point_3' ) ) ],
% 63.47/63.87 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 63.47/63.87 'lower_dimension_point_1' ) ) ],
% 63.47/63.87 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 63.47/63.87 'lower_dimension_point_2' ) ) ],
% 63.47/63.87 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 63.47/63.87 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 63.47/63.87 between( U, X, T ), =( Y, Z ) ],
% 63.47/63.87 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 63.47/63.87 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 63.47/63.87 continuous( Y, W, T, Z, U, X ) ) ],
% 63.47/63.87 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 63.47/63.87 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( Y
% 63.47/63.87 , W, T, Z, U, X ), U ) ],
% 63.47/63.87 [ ~( =( a, c ) ) ],
% 63.47/63.87 [ between( d, a, c ) ],
% 63.47/63.87 [ between( e, a, c ) ],
% 63.47/63.87 [ ~( between( d, e, a ) ) ],
% 63.47/63.87 [ ~( between( e, d, a ) ) ]
% 63.47/63.87 ] .
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 percentage equality = 0.130435, percentage horn = 0.760000
% 63.47/63.87 This is a problem with some equality
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 Options Used:
% 63.47/63.87
% 63.47/63.87 useres = 1
% 63.47/63.87 useparamod = 1
% 63.47/63.87 useeqrefl = 1
% 63.47/63.87 useeqfact = 1
% 63.47/63.87 usefactor = 1
% 63.47/63.87 usesimpsplitting = 0
% 63.47/63.87 usesimpdemod = 5
% 63.47/63.87 usesimpres = 3
% 63.47/63.87
% 63.47/63.87 resimpinuse = 1000
% 63.47/63.87 resimpclauses = 20000
% 63.47/63.87 substype = eqrewr
% 63.47/63.87 backwardsubs = 1
% 63.47/63.87 selectoldest = 5
% 63.47/63.87
% 63.47/63.87 litorderings [0] = split
% 63.47/63.87 litorderings [1] = extend the termordering, first sorting on arguments
% 63.47/63.87
% 63.47/63.87 termordering = kbo
% 63.47/63.87
% 63.47/63.87 litapriori = 0
% 63.47/63.87 termapriori = 1
% 63.47/63.87 litaposteriori = 0
% 63.47/63.87 termaposteriori = 0
% 63.47/63.87 demodaposteriori = 0
% 63.47/63.87 ordereqreflfact = 0
% 63.47/63.87
% 63.47/63.87 litselect = negord
% 63.47/63.87
% 63.47/63.87 maxweight = 15
% 63.47/63.87 maxdepth = 30000
% 63.47/63.87 maxlength = 115
% 63.47/63.87 maxnrvars = 195
% 63.47/63.87 excuselevel = 1
% 63.47/63.87 increasemaxweight = 1
% 63.47/63.87
% 63.47/63.87 maxselected = 10000000
% 63.47/63.87 maxnrclauses = 10000000
% 63.47/63.87
% 63.47/63.87 showgenerated = 0
% 63.47/63.87 showkept = 0
% 63.47/63.87 showselected = 0
% 63.47/63.87 showdeleted = 0
% 63.47/63.87 showresimp = 1
% 63.47/63.87 showstatus = 2000
% 63.47/63.87
% 63.47/63.87 prologoutput = 1
% 63.47/63.87 nrgoals = 5000000
% 63.47/63.87 totalproof = 1
% 63.47/63.87
% 63.47/63.87 Symbols occurring in the translation:
% 63.47/63.87
% 63.47/63.87 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 63.47/63.87 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 63.47/63.87 ! [4, 1] (w:0, o:26, a:1, s:1, b:0),
% 63.47/63.87 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 63.47/63.87 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 63.47/63.87 between [41, 3] (w:1, o:56, a:1, s:1, b:0),
% 63.47/63.87 equidistant [44, 4] (w:1, o:57, a:1, s:1, b:0),
% 63.47/63.87 'outer_pasch' [47, 5] (w:1, o:59, a:1, s:1, b:0),
% 63.47/63.87 euclid1 [48, 5] (w:1, o:60, a:1, s:1, b:0),
% 63.47/63.87 euclid2 [49, 5] (w:1, o:61, a:1, s:1, b:0),
% 63.47/63.87 extension [54, 4] (w:1, o:58, a:1, s:1, b:0),
% 63.47/63.87 'lower_dimension_point_1' [55, 0] (w:1, o:19, a:1, s:1, b:0),
% 63.47/63.87 'lower_dimension_point_2' [56, 0] (w:1, o:20, a:1, s:1, b:0),
% 63.47/63.87 'lower_dimension_point_3' [57, 0] (w:1, o:21, a:1, s:1, b:0),
% 63.47/63.87 continuous [58, 6] (w:1, o:62, a:1, s:1, b:0),
% 63.47/63.87 a [59, 0] (w:1, o:22, a:1, s:1, b:0),
% 63.47/63.87 c [60, 0] (w:1, o:23, a:1, s:1, b:0),
% 63.47/63.87 d [61, 0] (w:1, o:24, a:1, s:1, b:0),
% 63.47/63.87 e [62, 0] (w:1, o:25, a:1, s:1, b:0).
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 Starting Search:
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 Intermediate Status:
% 63.47/63.87 Generated: 15465
% 63.47/63.87 Kept: 2013
% 63.47/63.87 Inuse: 149
% 63.47/63.87 Deleted: 15
% 63.47/63.87 Deletedinuse: 4
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 Intermediate Status:
% 63.47/63.87 Generated: 53642
% 63.47/63.87 Kept: 4022
% 63.47/63.87 Inuse: 340
% 63.47/63.87 Deleted: 63
% 63.47/63.87 Deletedinuse: 18
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 Intermediate Status:
% 63.47/63.87 Generated: 164178
% 63.47/63.87 Kept: 7833
% 63.47/63.87 Inuse: 579
% 63.47/63.87 Deleted: 79
% 63.47/63.87 Deletedinuse: 20
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 Intermediate Status:
% 63.47/63.87 Generated: 219891
% 63.47/63.87 Kept: 9835
% 63.47/63.87 Inuse: 856
% 63.47/63.87 Deleted: 143
% 63.47/63.87 Deletedinuse: 20
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 Intermediate Status:
% 63.47/63.87 Generated: 251037
% 63.47/63.87 Kept: 11848
% 63.47/63.87 Inuse: 1011
% 63.47/63.87 Deleted: 144
% 63.47/63.87 Deletedinuse: 20
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 Intermediate Status:
% 63.47/63.87 Generated: 323594
% 63.47/63.87 Kept: 13857
% 63.47/63.87 Inuse: 1152
% 63.47/63.87 Deleted: 158
% 63.47/63.87 Deletedinuse: 23
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 Intermediate Status:
% 63.47/63.87 Generated: 366141
% 63.47/63.87 Kept: 15865
% 63.47/63.87 Inuse: 1283
% 63.47/63.87 Deleted: 179
% 63.47/63.87 Deletedinuse: 24
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 Intermediate Status:
% 63.47/63.87 Generated: 449193
% 63.47/63.87 Kept: 17879
% 63.47/63.87 Inuse: 1427
% 63.47/63.87 Deleted: 180
% 63.47/63.87 Deletedinuse: 24
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 Intermediate Status:
% 63.47/63.87 Generated: 504520
% 63.47/63.87 Kept: 19902
% 63.47/63.87 Inuse: 1526
% 63.47/63.87 Deleted: 196
% 63.47/63.87 Deletedinuse: 24
% 63.47/63.87
% 63.47/63.87 Resimplifying clauses:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 Intermediate Status:
% 63.47/63.87 Generated: 827871
% 63.47/63.87 Kept: 21907
% 63.47/63.87 Inuse: 1650
% 63.47/63.87 Deleted: 460
% 63.47/63.87 Deletedinuse: 43
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 Intermediate Status:
% 63.47/63.87 Generated: 1038576
% 63.47/63.87 Kept: 23922
% 63.47/63.87 Inuse: 1770
% 63.47/63.87 Deleted: 525
% 63.47/63.87 Deletedinuse: 45
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 Intermediate Status:
% 63.47/63.87 Generated: 1129505
% 63.47/63.87 Kept: 25925
% 63.47/63.87 Inuse: 1936
% 63.47/63.87 Deleted: 525
% 63.47/63.87 Deletedinuse: 45
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 Intermediate Status:
% 63.47/63.87 Generated: 1614716
% 63.47/63.87 Kept: 27927
% 63.47/63.87 Inuse: 2115
% 63.47/63.87 Deleted: 525
% 63.47/63.87 Deletedinuse: 45
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 Intermediate Status:
% 63.47/63.87 Generated: 2001944
% 63.47/63.87 Kept: 29937
% 63.47/63.87 Inuse: 2301
% 63.47/63.87 Deleted: 527
% 63.47/63.87 Deletedinuse: 47
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 Intermediate Status:
% 63.47/63.87 Generated: 2220321
% 63.47/63.87 Kept: 31947
% 63.47/63.87 Inuse: 2480
% 63.47/63.87 Deleted: 527
% 63.47/63.87 Deletedinuse: 47
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 Intermediate Status:
% 63.47/63.87 Generated: 2323017
% 63.47/63.87 Kept: 33969
% 63.47/63.87 Inuse: 2601
% 63.47/63.87 Deleted: 527
% 63.47/63.87 Deletedinuse: 47
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 Intermediate Status:
% 63.47/63.87 Generated: 2647590
% 63.47/63.87 Kept: 35989
% 63.47/63.87 Inuse: 2676
% 63.47/63.87 Deleted: 551
% 63.47/63.87 Deletedinuse: 47
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 Intermediate Status:
% 63.47/63.87 Generated: 3443045
% 63.47/63.87 Kept: 38032
% 63.47/63.87 Inuse: 2783
% 63.47/63.87 Deleted: 558
% 63.47/63.87 Deletedinuse: 49
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 Intermediate Status:
% 63.47/63.87 Generated: 4390953
% 63.47/63.87 Kept: 40939
% 63.47/63.87 Inuse: 2857
% 63.47/63.87 Deleted: 573
% 63.47/63.87 Deletedinuse: 59
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87 Resimplifying clauses:
% 63.47/63.87 Done
% 63.47/63.87
% 63.47/63.87 Resimplifying inuse:
% 63.47/63.87
% 63.47/63.87 Bliksems!, er is een bewijs:
% 63.47/63.87 % SZS status Unsatisfiable
% 63.47/63.87 % SZS output start Refutation
% 63.47/63.87
% 63.47/63.87 clause( 0, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 1, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X,
% 63.47/63.87 Y, T ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 2, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ),
% 63.47/63.87 between( X, Z, T ), between( X, T, Z ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 4, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 6, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( X,
% 63.47/63.87 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( U,
% 63.47/63.87 Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 12, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 13, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 20, [ ~( =( c, a ) ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 21, [ between( d, a, c ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 22, [ between( e, a, c ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 23, [ ~( between( d, e, a ) ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 24, [ ~( between( e, d, a ) ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 59, [ ~( between( d, e, X ) ), ~( between( X, a, X ) ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 93, [ ~( between( X, d, c ) ), between( X, d, a ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 95, [ ~( between( X, e, c ) ), between( X, e, a ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 168, [ ~( =( X, a ) ), ~( between( c, X, Y ) ), ~( between( c, X, Z
% 63.47/63.87 ) ), between( c, Y, Z ), between( c, Z, Y ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 347, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), =(
% 63.47/63.87 'outer_pasch'( Y, X, X, T, Z ), X ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 351, [ ~( between( X, Y, a ) ), between( X, 'outer_pasch'( Y, X, e
% 63.47/63.87 , c, a ), e ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 426, [ ~( between( X, c, Y ) ), between( Y, a, 'outer_pasch'( a, d
% 63.47/63.87 , X, Y, c ) ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 893, [ ~( between( e, d, c ) ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 1135, [ =( extension( Y, X, Z, Z ), X ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 1151, [ between( X, Y, Y ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 3057, [ ~( between( d, e, c ) ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 12532, [ ~( between( Y, X, T ) ), ~( between( Y, T, Z ) ), between(
% 63.47/63.87 Z, X, Y ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 12798, [ between( X, 'outer_pasch'( a, X, e, c, a ), e ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 13141, [ =( 'outer_pasch'( a, e, e, c, a ), e ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 13171, [ ~( between( e, a, c ) ), between( c, a, e ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 13184, [ between( c, a, e ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 17788, [ ~( between( d, c, X ) ), between( X, a, d ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 17810, [ between( c, a, d ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 40906, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 41789, [ ~( between( c, e, d ) ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 41851, [ ~( between( c, d, e ) ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 41879, [ ~( =( X, a ) ), ~( between( c, X, e ) ), ~( between( c, X
% 63.47/63.87 , d ) ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 42029, [ ~( between( c, a, d ) ) ] )
% 63.47/63.87 .
% 63.47/63.87 clause( 42030, [] )
% 63.47/63.87 .
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 % SZS output end Refutation
% 63.47/63.87 found a proof!
% 63.47/63.87
% 63.47/63.87 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 63.47/63.87
% 63.47/63.87 initialclauses(
% 63.47/63.87 [ clause( 42032, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 63.47/63.87 , clause( 42033, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ),
% 63.47/63.87 between( X, Y, T ) ] )
% 63.47/63.87 , clause( 42034, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X,
% 63.47/63.87 Y ), between( X, Z, T ), between( X, T, Z ) ] )
% 63.47/63.87 , clause( 42035, [ equidistant( X, Y, Y, X ) ] )
% 63.47/63.87 , clause( 42036, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 63.47/63.87 , clause( 42037, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 63.47/63.87 , W ) ), equidistant( Z, T, U, W ) ] )
% 63.47/63.87 , clause( 42038, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ),
% 63.47/63.87 between( X, 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 63.47/63.87 , clause( 42039, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ),
% 63.47/63.87 between( U, Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 63.47/63.87 , clause( 42040, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 63.47/63.87 Y ), between( X, U, euclid1( Z, X, T, U, Y ) ) ] )
% 63.47/63.87 , clause( 42041, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 63.47/63.87 Y ), between( X, T, euclid2( Z, X, T, U, Y ) ) ] )
% 63.47/63.87 , clause( 42042, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 63.47/63.87 Y ), between( euclid1( Z, X, T, U, Y ), Z, euclid2( Z, X, T, U, Y ) ) ]
% 63.47/63.87 )
% 63.47/63.87 , clause( 42043, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 63.47/63.87 , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 63.47/63.87 ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 63.47/63.87 equidistant( U, V0, W, V1 ) ] )
% 63.47/63.87 , clause( 42044, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 63.47/63.87 , clause( 42045, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 63.47/63.87 , clause( 42046, [ ~( between( 'lower_dimension_point_1',
% 63.47/63.87 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 63.47/63.87 , clause( 42047, [ ~( between( 'lower_dimension_point_2',
% 63.47/63.87 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 63.47/63.87 , clause( 42048, [ ~( between( 'lower_dimension_point_3',
% 63.47/63.87 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 63.47/63.87 , clause( 42049, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 63.47/63.87 , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T,
% 63.47/63.87 U, X ), between( U, X, T ), =( Y, Z ) ] )
% 63.47/63.87 , clause( 42050, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 63.47/63.87 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 63.47/63.87 , W, X, continuous( Y, W, T, Z, U, X ) ) ] )
% 63.47/63.87 , clause( 42051, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 63.47/63.87 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 63.47/63.87 continuous( Y, W, T, Z, U, X ), U ) ] )
% 63.47/63.87 , clause( 42052, [ ~( =( a, c ) ) ] )
% 63.47/63.87 , clause( 42053, [ between( d, a, c ) ] )
% 63.47/63.87 , clause( 42054, [ between( e, a, c ) ] )
% 63.47/63.87 , clause( 42055, [ ~( between( d, e, a ) ) ] )
% 63.47/63.87 , clause( 42056, [ ~( between( e, d, a ) ) ] )
% 63.47/63.87 ] ).
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 subsumption(
% 63.47/63.87 clause( 0, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 63.47/63.87 , clause( 42032, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 63.47/63.87 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 63.47/63.87 ), ==>( 1, 1 )] ) ).
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 subsumption(
% 63.47/63.87 clause( 1, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X,
% 63.47/63.87 Y, T ) ] )
% 63.47/63.87 , clause( 42033, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ),
% 63.47/63.87 between( X, Y, T ) ] )
% 63.47/63.87 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 63.47/63.87 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 subsumption(
% 63.47/63.87 clause( 2, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ),
% 63.47/63.87 between( X, Z, T ), between( X, T, Z ) ] )
% 63.47/63.87 , clause( 42034, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X,
% 63.47/63.87 Y ), between( X, Z, T ), between( X, T, Z ) ] )
% 63.47/63.87 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 63.47/63.87 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 ),
% 63.47/63.87 ==>( 4, 4 )] ) ).
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 subsumption(
% 63.47/63.87 clause( 4, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 63.47/63.87 , clause( 42036, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 63.47/63.87 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 63.47/63.87 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 subsumption(
% 63.47/63.87 clause( 6, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( X,
% 63.47/63.87 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 63.47/63.87 , clause( 42038, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ),
% 63.47/63.87 between( X, 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 63.47/63.87 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 63.47/63.87 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 63.47/63.87 ).
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 subsumption(
% 63.47/63.87 clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( U,
% 63.47/63.87 Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 63.47/63.87 , clause( 42039, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ),
% 63.47/63.87 between( U, Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 63.47/63.87 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 63.47/63.87 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 63.47/63.87 ).
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 subsumption(
% 63.47/63.87 clause( 12, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 63.47/63.87 , clause( 42044, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 63.47/63.87 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 63.47/63.87 permutation( 0, [ ==>( 0, 0 )] ) ).
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 subsumption(
% 63.47/63.87 clause( 13, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 63.47/63.87 , clause( 42045, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 63.47/63.87 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 63.47/63.87 permutation( 0, [ ==>( 0, 0 )] ) ).
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 eqswap(
% 63.47/63.87 clause( 42258, [ ~( =( c, a ) ) ] )
% 63.47/63.87 , clause( 42052, [ ~( =( a, c ) ) ] )
% 63.47/63.87 , 0, substitution( 0, [] )).
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 subsumption(
% 63.47/63.87 clause( 20, [ ~( =( c, a ) ) ] )
% 63.47/63.87 , clause( 42258, [ ~( =( c, a ) ) ] )
% 63.47/63.87 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 63.47/63.87
% 63.47/63.87
% 63.47/63.87 subsumption(
% 63.47/63.87 clause( 21, [ between( d, a, c ) ] )
% 63.47/63.87 , clause( 42053, [ between( d, a, c ) ] )
% 63.47/63.87 , substitution( 0, [] ), permutation( Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------