TSTP Solution File: GEO047-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO047-3 : TPTP v8.1.0. Released v1.0.0.
% 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 02:51:10 EDT 2022
% Result : Unsatisfiable 48.61s 49.03s
% Output : Refutation 48.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO047-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jun 18 11:35:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.89/2.27 *** allocated 10000 integers for termspace/termends
% 1.89/2.27 *** allocated 10000 integers for clauses
% 1.89/2.27 *** allocated 10000 integers for justifications
% 1.89/2.27 Bliksem 1.12
% 1.89/2.27
% 1.89/2.27
% 1.89/2.27 Automatic Strategy Selection
% 1.89/2.27
% 1.89/2.27 Clauses:
% 1.89/2.27 [
% 1.89/2.27 [ equidistant( X, Y, Y, X ) ],
% 1.89/2.27 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 1.89/2.27 equidistant( Z, T, U, W ) ],
% 1.89/2.27 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 1.89/2.27 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 1.89/2.27 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 1.89/2.27 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 1.89/2.27 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 1.89/2.27 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 1.89/2.27 , V0, W, V1 ) ],
% 1.89/2.27 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 1.89/2.27 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 1.89/2.27 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 1.89/2.27 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 1.89/2.27 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 1.89/2.27 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 1.89/2.27 'lower_dimension_point_3' ) ) ],
% 1.89/2.27 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 1.89/2.27 'lower_dimension_point_1' ) ) ],
% 1.89/2.27 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 1.89/2.27 'lower_dimension_point_2' ) ) ],
% 1.89/2.27 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 1.89/2.27 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 1.89/2.27 between( U, X, T ), =( Y, Z ) ],
% 1.89/2.27 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 1.89/2.27 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 1.89/2.27 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 1.89/2.27 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 1.89/2.27 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 1.89/2.27 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 1.89/2.27 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 1.89/2.27 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 1.89/2.27 , Y, Z, W, T, U ), U ) ],
% 1.89/2.27 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 1.89/2.27 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 1.89/2.27 continuous( X, Y, Z, W, T, U ) ) ],
% 1.89/2.27 [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ],
% 1.89/2.27 [ equidistant( X, Y, X, Y ) ],
% 1.89/2.27 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ],
% 1.89/2.27 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ],
% 1.89/2.27 [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z ) ],
% 1.89/2.27 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z ) ],
% 1.89/2.27 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X ) ],
% 1.89/2.27 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y ) ],
% 1.89/2.27 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X ) ],
% 1.89/2.27 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U, W ) ),
% 1.89/2.27 equidistant( X, Y, U, W ) ],
% 1.89/2.27 [ =( X, extension( Y, X, Z, Z ) ) ],
% 1.89/2.27 [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ],
% 1.89/2.27 [ between( X, Y, reflection( X, Y ) ) ],
% 1.89/2.27 [ equidistant( X, reflection( Y, X ), Y, X ) ],
% 1.89/2.27 [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ],
% 1.89/2.27 [ =( X, reflection( X, X ) ) ],
% 1.89/2.27 [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ],
% 1.89/2.27 [ equidistant( X, X, Y, Y ) ],
% 1.89/2.27 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 1.89/2.27 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X, U, Z, W )
% 1.89/2.27 ],
% 1.89/2.27 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~( equidistant( Y, Z
% 1.89/2.27 , Y, T ) ), =( X, Y ), =( Z, T ) ],
% 1.89/2.27 [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, Y, Y, Z ) ) ]
% 1.89/2.27 ,
% 1.89/2.27 [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y ), extension(
% 1.89/2.27 U, W, Z, T ) ), =( U, W ) ],
% 1.89/2.27 [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ), =( X, Y ) ]
% 1.89/2.27 ,
% 1.89/2.27 [ equidistant( X, Y, X, reflection( reflection( Y, X ), X ) ) ],
% 1.89/2.27 [ =( X, reflection( reflection( X, Y ), Y ) ) ],
% 1.89/2.27 [ between( X, Y, Y ) ],
% 1.89/2.27 [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z ) ],
% 1.89/2.27 [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ],
% 1.89/2.27 [ between( X, X, Y ) ],
% 1.89/2.27 [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ) ],
% 48.61/49.03 [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, Z ) ],
% 48.61/49.03 [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ), =( Y, Z )
% 48.61/49.03 ],
% 48.61/49.03 [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X, Y ), =( Y, Z )
% 48.61/49.03 ],
% 48.61/49.03 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, Z ) ]
% 48.61/49.03 ,
% 48.61/49.03 [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( Y, Z, T ) ]
% 48.61/49.03 ,
% 48.61/49.03 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Z, T ),
% 48.61/49.03 =( Y, Z ) ],
% 48.61/49.03 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, T ),
% 48.61/49.03 =( Y, Z ) ],
% 48.61/49.03 [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X, T, Z ) ]
% 48.61/49.03 ,
% 48.61/49.03 [ between( u, v, w ) ],
% 48.61/49.03 [ between( u, w, x ) ],
% 48.61/49.03 [ ~( between( u, v, x ) ) ]
% 48.61/49.03 ] .
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 percentage equality = 0.213235, percentage horn = 0.803571
% 48.61/49.03 This is a problem with some equality
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Options Used:
% 48.61/49.03
% 48.61/49.03 useres = 1
% 48.61/49.03 useparamod = 1
% 48.61/49.03 useeqrefl = 1
% 48.61/49.03 useeqfact = 1
% 48.61/49.03 usefactor = 1
% 48.61/49.03 usesimpsplitting = 0
% 48.61/49.03 usesimpdemod = 5
% 48.61/49.03 usesimpres = 3
% 48.61/49.03
% 48.61/49.03 resimpinuse = 1000
% 48.61/49.03 resimpclauses = 20000
% 48.61/49.03 substype = eqrewr
% 48.61/49.03 backwardsubs = 1
% 48.61/49.03 selectoldest = 5
% 48.61/49.03
% 48.61/49.03 litorderings [0] = split
% 48.61/49.03 litorderings [1] = extend the termordering, first sorting on arguments
% 48.61/49.03
% 48.61/49.03 termordering = kbo
% 48.61/49.03
% 48.61/49.03 litapriori = 0
% 48.61/49.03 termapriori = 1
% 48.61/49.03 litaposteriori = 0
% 48.61/49.03 termaposteriori = 0
% 48.61/49.03 demodaposteriori = 0
% 48.61/49.03 ordereqreflfact = 0
% 48.61/49.03
% 48.61/49.03 litselect = negord
% 48.61/49.03
% 48.61/49.03 maxweight = 15
% 48.61/49.03 maxdepth = 30000
% 48.61/49.03 maxlength = 115
% 48.61/49.03 maxnrvars = 195
% 48.61/49.03 excuselevel = 1
% 48.61/49.03 increasemaxweight = 1
% 48.61/49.03
% 48.61/49.03 maxselected = 10000000
% 48.61/49.03 maxnrclauses = 10000000
% 48.61/49.03
% 48.61/49.03 showgenerated = 0
% 48.61/49.03 showkept = 0
% 48.61/49.03 showselected = 0
% 48.61/49.03 showdeleted = 0
% 48.61/49.03 showresimp = 1
% 48.61/49.03 showstatus = 2000
% 48.61/49.03
% 48.61/49.03 prologoutput = 1
% 48.61/49.03 nrgoals = 5000000
% 48.61/49.03 totalproof = 1
% 48.61/49.03
% 48.61/49.03 Symbols occurring in the translation:
% 48.61/49.03
% 48.61/49.03 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 48.61/49.03 . [1, 2] (w:1, o:34, a:1, s:1, b:0),
% 48.61/49.03 ! [4, 1] (w:0, o:29, a:1, s:1, b:0),
% 48.61/49.03 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 48.61/49.03 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 48.61/49.03 equidistant [41, 4] (w:1, o:61, a:1, s:1, b:0),
% 48.61/49.03 extension [46, 4] (w:1, o:62, a:1, s:1, b:0),
% 48.61/49.03 between [47, 3] (w:1, o:60, a:1, s:1, b:0),
% 48.61/49.03 'inner_pasch' [53, 5] (w:1, o:63, a:1, s:1, b:0),
% 48.61/49.03 'lower_dimension_point_1' [54, 0] (w:1, o:22, a:1, s:1, b:0),
% 48.61/49.03 'lower_dimension_point_2' [55, 0] (w:1, o:23, a:1, s:1, b:0),
% 48.61/49.03 'lower_dimension_point_3' [56, 0] (w:1, o:24, a:1, s:1, b:0),
% 48.61/49.03 euclid1 [57, 5] (w:1, o:64, a:1, s:1, b:0),
% 48.61/49.03 euclid2 [58, 5] (w:1, o:65, a:1, s:1, b:0),
% 48.61/49.03 continuous [59, 6] (w:1, o:66, a:1, s:1, b:0),
% 48.61/49.03 reflection [60, 2] (w:1, o:59, a:1, s:1, b:0),
% 48.61/49.03 u [63, 0] (w:1, o:25, a:1, s:1, b:0),
% 48.61/49.03 v [64, 0] (w:1, o:26, a:1, s:1, b:0),
% 48.61/49.03 w [65, 0] (w:1, o:27, a:1, s:1, b:0),
% 48.61/49.03 x [66, 0] (w:1, o:28, a:1, s:1, b:0).
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Starting Search:
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 9656
% 48.61/49.03 Kept: 2001
% 48.61/49.03 Inuse: 130
% 48.61/49.03 Deleted: 0
% 48.61/49.03 Deletedinuse: 0
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 18691
% 48.61/49.03 Kept: 4011
% 48.61/49.03 Inuse: 160
% 48.61/49.03 Deleted: 0
% 48.61/49.03 Deletedinuse: 0
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 29180
% 48.61/49.03 Kept: 6155
% 48.61/49.03 Inuse: 195
% 48.61/49.03 Deleted: 1
% 48.61/49.03 Deletedinuse: 0
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 42197
% 48.61/49.03 Kept: 8160
% 48.61/49.03 Inuse: 258
% 48.61/49.03 Deleted: 7
% 48.61/49.03 Deletedinuse: 0
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 51865
% 48.61/49.03 Kept: 10174
% 48.61/49.03 Inuse: 310
% 48.61/49.03 Deleted: 12
% 48.61/49.03 Deletedinuse: 0
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 61999
% 48.61/49.03 Kept: 12181
% 48.61/49.03 Inuse: 361
% 48.61/49.03 Deleted: 12
% 48.61/49.03 Deletedinuse: 0
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 72343
% 48.61/49.03 Kept: 14196
% 48.61/49.03 Inuse: 409
% 48.61/49.03 Deleted: 12
% 48.61/49.03 Deletedinuse: 0
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 88099
% 48.61/49.03 Kept: 16818
% 48.61/49.03 Inuse: 467
% 48.61/49.03 Deleted: 14
% 48.61/49.03 Deletedinuse: 0
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 96922
% 48.61/49.03 Kept: 18835
% 48.61/49.03 Inuse: 517
% 48.61/49.03 Deleted: 22
% 48.61/49.03 Deletedinuse: 0
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03 Resimplifying clauses:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 109325
% 48.61/49.03 Kept: 20856
% 48.61/49.03 Inuse: 579
% 48.61/49.03 Deleted: 147
% 48.61/49.03 Deletedinuse: 0
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 122903
% 48.61/49.03 Kept: 22870
% 48.61/49.03 Inuse: 646
% 48.61/49.03 Deleted: 147
% 48.61/49.03 Deletedinuse: 0
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 134513
% 48.61/49.03 Kept: 24892
% 48.61/49.03 Inuse: 688
% 48.61/49.03 Deleted: 147
% 48.61/49.03 Deletedinuse: 0
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 144557
% 48.61/49.03 Kept: 27689
% 48.61/49.03 Inuse: 699
% 48.61/49.03 Deleted: 147
% 48.61/49.03 Deletedinuse: 0
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 155999
% 48.61/49.03 Kept: 29964
% 48.61/49.03 Inuse: 739
% 48.61/49.03 Deleted: 147
% 48.61/49.03 Deletedinuse: 0
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 169023
% 48.61/49.03 Kept: 31978
% 48.61/49.03 Inuse: 791
% 48.61/49.03 Deleted: 147
% 48.61/49.03 Deletedinuse: 0
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 184368
% 48.61/49.03 Kept: 33982
% 48.61/49.03 Inuse: 859
% 48.61/49.03 Deleted: 147
% 48.61/49.03 Deletedinuse: 0
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 199642
% 48.61/49.03 Kept: 36007
% 48.61/49.03 Inuse: 925
% 48.61/49.03 Deleted: 151
% 48.61/49.03 Deletedinuse: 2
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 210705
% 48.61/49.03 Kept: 38036
% 48.61/49.03 Inuse: 968
% 48.61/49.03 Deleted: 151
% 48.61/49.03 Deletedinuse: 2
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 221656
% 48.61/49.03 Kept: 40058
% 48.61/49.03 Inuse: 1012
% 48.61/49.03 Deleted: 151
% 48.61/49.03 Deletedinuse: 2
% 48.61/49.03
% 48.61/49.03 Resimplifying clauses:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 232352
% 48.61/49.03 Kept: 42092
% 48.61/49.03 Inuse: 1049
% 48.61/49.03 Deleted: 291
% 48.61/49.03 Deletedinuse: 2
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 243944
% 48.61/49.03 Kept: 44125
% 48.61/49.03 Inuse: 1091
% 48.61/49.03 Deleted: 291
% 48.61/49.03 Deletedinuse: 2
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 254989
% 48.61/49.03 Kept: 46130
% 48.61/49.03 Inuse: 1130
% 48.61/49.03 Deleted: 291
% 48.61/49.03 Deletedinuse: 2
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 316251
% 48.61/49.03 Kept: 48140
% 48.61/49.03 Inuse: 1169
% 48.61/49.03 Deleted: 291
% 48.61/49.03 Deletedinuse: 2
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 409405
% 48.61/49.03 Kept: 50178
% 48.61/49.03 Inuse: 1216
% 48.61/49.03 Deleted: 291
% 48.61/49.03 Deletedinuse: 2
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 518844
% 48.61/49.03 Kept: 52245
% 48.61/49.03 Inuse: 1266
% 48.61/49.03 Deleted: 291
% 48.61/49.03 Deletedinuse: 2
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 624834
% 48.61/49.03 Kept: 54254
% 48.61/49.03 Inuse: 1310
% 48.61/49.03 Deleted: 291
% 48.61/49.03 Deletedinuse: 2
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03 Resimplifying inuse:
% 48.61/49.03 Done
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Intermediate Status:
% 48.61/49.03 Generated: 718278
% 48.61/49.03 Kept: 56264
% 48.61/49.03 Inuse: 1350
% 48.61/49.03 Deleted: 291
% 48.61/49.03 Deletedinuse: 2
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 Bliksems!, er is een bewijs:
% 48.61/49.03 % SZS status Unsatisfiable
% 48.61/49.03 % SZS output start Refutation
% 48.61/49.03
% 48.61/49.03 clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 48.61/49.03 .
% 48.61/49.03 clause( 32, [ ~( =( X, Y ) ), =( reflection( X, Y ), Y ) ] )
% 48.61/49.03 .
% 48.61/49.03 clause( 33, [ =( reflection( X, X ), X ) ] )
% 48.61/49.03 .
% 48.61/49.03 clause( 35, [ equidistant( X, X, Y, Y ) ] )
% 48.61/49.03 .
% 48.61/49.03 clause( 42, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 48.61/49.03 .
% 48.61/49.03 clause( 45, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 48.61/49.03 .
% 48.61/49.03 clause( 49, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( Y
% 48.61/49.03 , Z, T ) ] )
% 48.61/49.03 .
% 48.61/49.03 clause( 51, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X
% 48.61/49.03 , Y, T ), =( Y, Z ) ] )
% 48.61/49.03 .
% 48.61/49.03 clause( 53, [ between( u, v, w ) ] )
% 48.61/49.03 .
% 48.61/49.03 clause( 54, [ between( u, w, x ) ] )
% 48.61/49.03 .
% 48.61/49.03 clause( 55, [ ~( between( u, v, x ) ) ] )
% 48.61/49.03 .
% 48.61/49.03 clause( 149, [ ~( between( u, X, x ) ), ~( equidistant( X, v, Y, Y ) ) ] )
% 48.61/49.03 .
% 48.61/49.03 clause( 183, [ between( x, w, u ) ] )
% 48.61/49.03 .
% 48.61/49.03 clause( 184, [ ~( between( x, v, u ) ) ] )
% 48.61/49.03 .
% 48.61/49.03 clause( 1966, [ ~( =( X, Y ) ), =( Y, X ) ] )
% 48.61/49.03 .
% 48.61/49.03 clause( 3224, [ ~( between( x, X, u ) ), ~( =( X, v ) ) ] )
% 48.61/49.03 .
% 48.61/49.03 clause( 3255, [ between( X, v, w ), ~( =( X, u ) ) ] )
% 48.61/49.03 .
% 48.61/49.03 clause( 3260, [ between( u, w, X ), ~( =( X, x ) ) ] )
% 48.61/49.03 .
% 48.61/49.03 clause( 9908, [ ~( =( w, v ) ) ] )
% 48.61/49.03 .
% 48.61/49.03 clause( 14747, [ ~( =( X, u ) ), ~( between( v, w, Y ) ), between( X, v, Y
% 48.61/49.03 ), =( w, v ) ] )
% 48.61/49.03 .
% 48.61/49.03 clause( 14791, [ ~( between( v, w, X ) ), between( u, v, X ) ] )
% 48.61/49.03 .
% 48.61/49.03 clause( 48089, [ ~( between( v, w, x ) ) ] )
% 48.61/49.03 .
% 48.61/49.03 clause( 48155, [ ~( between( X, v, w ) ), ~( between( X, w, x ) ) ] )
% 48.61/49.03 .
% 48.61/49.03 clause( 56735, [] )
% 48.61/49.03 .
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 % SZS output end Refutation
% 48.61/49.03 found a proof!
% 48.61/49.03
% 48.61/49.03 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 48.61/49.03
% 48.61/49.03 initialclauses(
% 48.61/49.03 [ clause( 56737, [ equidistant( X, Y, Y, X ) ] )
% 48.61/49.03 , clause( 56738, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 48.61/49.03 , W ) ), equidistant( Z, T, U, W ) ] )
% 48.61/49.03 , clause( 56739, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 48.61/49.03 , clause( 56740, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 48.61/49.03 , clause( 56741, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 48.61/49.03 , clause( 56742, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 48.61/49.03 , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 48.61/49.03 ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 48.61/49.03 equidistant( U, V0, W, V1 ) ] )
% 48.61/49.03 , clause( 56743, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 48.61/49.03 , clause( 56744, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 48.61/49.03 between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 48.61/49.03 , clause( 56745, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 48.61/49.03 between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 48.61/49.03 , clause( 56746, [ ~( between( 'lower_dimension_point_1',
% 48.61/49.03 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 48.61/49.03 , clause( 56747, [ ~( between( 'lower_dimension_point_2',
% 48.61/49.03 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 48.61/49.03 , clause( 56748, [ ~( between( 'lower_dimension_point_3',
% 48.61/49.03 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 48.61/49.03 , clause( 56749, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 48.61/49.03 , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T,
% 48.61/49.03 U, X ), between( U, X, T ), =( Y, Z ) ] )
% 48.61/49.03 , clause( 56750, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 48.61/49.03 Y ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 48.61/49.03 , clause( 56751, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 48.61/49.03 Y ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 48.61/49.03 , clause( 56752, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 48.61/49.03 Y ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ]
% 48.61/49.03 )
% 48.61/49.03 , clause( 56753, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 48.61/49.03 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 48.61/49.03 continuous( X, Y, Z, W, T, U ), U ) ] )
% 48.61/49.03 , clause( 56754, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 48.61/49.03 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 48.61/49.03 , W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 48.61/49.03 , clause( 56755, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 48.61/49.03 , clause( 56756, [ equidistant( X, Y, X, Y ) ] )
% 48.61/49.03 , clause( 56757, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y
% 48.61/49.03 ) ] )
% 48.61/49.03 , clause( 56758, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T
% 48.61/49.03 ) ] )
% 48.61/49.03 , clause( 56759, [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z
% 48.61/49.03 ) ] )
% 48.61/49.03 , clause( 56760, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z
% 48.61/49.03 ) ] )
% 48.61/49.03 , clause( 56761, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X
% 48.61/49.03 ) ] )
% 48.61/49.03 , clause( 56762, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y
% 48.61/49.03 ) ] )
% 48.61/49.03 , clause( 56763, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X
% 48.61/49.03 ) ] )
% 48.61/49.03 , clause( 56764, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U
% 48.61/49.03 , W ) ), equidistant( X, Y, U, W ) ] )
% 48.61/49.03 , clause( 56765, [ =( X, extension( Y, X, Z, Z ) ) ] )
% 48.61/49.03 , clause( 56766, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X )
% 48.61/49.03 ] )
% 48.61/49.03 , clause( 56767, [ between( X, Y, reflection( X, Y ) ) ] )
% 48.61/49.03 , clause( 56768, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 48.61/49.03 , clause( 56769, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 48.61/49.03 , clause( 56770, [ =( X, reflection( X, X ) ) ] )
% 48.61/49.03 , clause( 56771, [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ] )
% 48.61/49.03 , clause( 56772, [ equidistant( X, X, Y, Y ) ] )
% 48.61/49.03 , clause( 56773, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 48.61/49.03 , W ) ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X
% 48.61/49.03 , U, Z, W ) ] )
% 48.61/49.03 , clause( 56774, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~(
% 48.61/49.03 equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 48.61/49.03 , clause( 56775, [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X,
% 48.61/49.03 Y, Y, Z ) ) ] )
% 48.61/49.03 , clause( 56776, [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y
% 48.61/49.03 ), extension( U, W, Z, T ) ), =( U, W ) ] )
% 48.61/49.03 , clause( 56777, [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ),
% 48.61/49.03 =( X, Y ) ] )
% 48.61/49.03 , clause( 56778, [ equidistant( X, Y, X, reflection( reflection( Y, X ), X
% 48.61/49.03 ) ) ] )
% 48.61/49.03 , clause( 56779, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 48.61/49.03 , clause( 56780, [ between( X, Y, Y ) ] )
% 48.61/49.03 , clause( 56781, [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y,
% 48.61/49.03 Z ) ] )
% 48.61/49.03 , clause( 56782, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 48.61/49.03 , clause( 56783, [ between( X, X, Y ) ] )
% 48.61/49.03 , clause( 56784, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X,
% 48.61/49.03 Y ) ] )
% 48.61/49.03 , clause( 56785, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y,
% 48.61/49.03 Z ) ] )
% 48.61/49.03 , clause( 56786, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X,
% 48.61/49.03 Y ), =( Y, Z ) ] )
% 48.61/49.03 , clause( 56787, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X,
% 48.61/49.03 Y ), =( Y, Z ) ] )
% 48.61/49.03 , clause( 56788, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ),
% 48.61/49.03 between( X, Y, Z ) ] )
% 48.61/49.03 , clause( 56789, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ),
% 48.61/49.03 between( Y, Z, T ) ] )
% 48.61/49.03 , clause( 56790, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ),
% 48.61/49.03 between( X, Z, T ), =( Y, Z ) ] )
% 48.61/49.03 , clause( 56791, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ),
% 48.61/49.03 between( X, Y, T ), =( Y, Z ) ] )
% 48.61/49.03 , clause( 56792, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ),
% 48.61/49.03 between( X, T, Z ) ] )
% 48.61/49.03 , clause( 56793, [ between( u, v, w ) ] )
% 48.61/49.03 , clause( 56794, [ between( u, w, x ) ] )
% 48.61/49.03 , clause( 56795, [ ~( between( u, v, x ) ) ] )
% 48.61/49.03 ] ).
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 subsumption(
% 48.61/49.03 clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 48.61/49.03 , clause( 56739, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 48.61/49.03 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 48.61/49.03 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 eqswap(
% 48.61/49.03 clause( 56861, [ =( reflection( Y, X ), X ), ~( =( Y, X ) ) ] )
% 48.61/49.03 , clause( 56769, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 48.61/49.03 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 subsumption(
% 48.61/49.03 clause( 32, [ ~( =( X, Y ) ), =( reflection( X, Y ), Y ) ] )
% 48.61/49.03 , clause( 56861, [ =( reflection( Y, X ), X ), ~( =( Y, X ) ) ] )
% 48.61/49.03 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 48.61/49.03 ), ==>( 1, 0 )] ) ).
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 eqswap(
% 48.61/49.03 clause( 56928, [ =( reflection( X, X ), X ) ] )
% 48.61/49.03 , clause( 56770, [ =( X, reflection( X, X ) ) ] )
% 48.61/49.03 , 0, substitution( 0, [ :=( X, X )] )).
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 subsumption(
% 48.61/49.03 clause( 33, [ =( reflection( X, X ), X ) ] )
% 48.61/49.03 , clause( 56928, [ =( reflection( X, X ), X ) ] )
% 48.61/49.03 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 subsumption(
% 48.61/49.03 clause( 35, [ equidistant( X, X, Y, Y ) ] )
% 48.61/49.03 , clause( 56772, [ equidistant( X, X, Y, Y ) ] )
% 48.61/49.03 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 48.61/49.03 )] ) ).
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 eqswap(
% 48.61/49.03 clause( 57089, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 48.61/49.03 , clause( 56779, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 48.61/49.03 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 subsumption(
% 48.61/49.03 clause( 42, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 48.61/49.03 , clause( 57089, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 48.61/49.03 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 48.61/49.03 )] ) ).
% 48.61/49.03
% 48.61/49.03
% 48.61/49.03 subsumption(
% 48.61/49.03 clause( 45, [ ~( between( X, Y, Z ) ), betCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------