TSTP Solution File: GEO059-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO059-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 02:51:17 EDT 2022
% Result : Unsatisfiable 14.13s 14.48s
% Output : Refutation 14.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO059-3 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sat Jun 18 14:14:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 14.13/14.48 *** allocated 10000 integers for termspace/termends
% 14.13/14.48 *** allocated 10000 integers for clauses
% 14.13/14.48 *** allocated 10000 integers for justifications
% 14.13/14.48 Bliksem 1.12
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 Automatic Strategy Selection
% 14.13/14.48
% 14.13/14.48 Clauses:
% 14.13/14.48 [
% 14.13/14.48 [ equidistant( X, Y, Y, X ) ],
% 14.13/14.48 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 14.13/14.48 equidistant( Z, T, U, W ) ],
% 14.13/14.48 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 14.13/14.48 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 14.13/14.48 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 14.13/14.48 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 14.13/14.48 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 14.13/14.48 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 14.13/14.48 , V0, W, V1 ) ],
% 14.13/14.48 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 14.13/14.48 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 14.13/14.48 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 14.13/14.48 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 14.13/14.48 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 14.13/14.48 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 14.13/14.48 'lower_dimension_point_3' ) ) ],
% 14.13/14.48 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 14.13/14.48 'lower_dimension_point_1' ) ) ],
% 14.13/14.48 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 14.13/14.48 'lower_dimension_point_2' ) ) ],
% 14.13/14.48 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 14.13/14.48 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 14.13/14.48 between( U, X, T ), =( Y, Z ) ],
% 14.13/14.48 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 14.13/14.48 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 14.13/14.48 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 14.13/14.48 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 14.13/14.48 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 14.13/14.48 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 14.13/14.48 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 14.13/14.48 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 14.13/14.48 , Y, Z, W, T, U ), U ) ],
% 14.13/14.48 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 14.13/14.48 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 14.13/14.48 continuous( X, Y, Z, W, T, U ) ) ],
% 14.13/14.48 [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ],
% 14.13/14.48 [ equidistant( X, Y, X, Y ) ],
% 14.13/14.48 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ],
% 14.13/14.48 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ],
% 14.13/14.48 [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z ) ],
% 14.13/14.48 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z ) ],
% 14.13/14.48 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X ) ],
% 14.13/14.48 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y ) ],
% 14.13/14.48 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X ) ],
% 14.13/14.48 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U, W ) ),
% 14.13/14.48 equidistant( X, Y, U, W ) ],
% 14.13/14.48 [ =( X, extension( Y, X, Z, Z ) ) ],
% 14.13/14.48 [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ],
% 14.13/14.48 [ between( X, Y, reflection( X, Y ) ) ],
% 14.13/14.48 [ equidistant( X, reflection( Y, X ), Y, X ) ],
% 14.13/14.48 [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ],
% 14.13/14.48 [ =( X, reflection( X, X ) ) ],
% 14.13/14.48 [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ],
% 14.13/14.48 [ equidistant( X, X, Y, Y ) ],
% 14.13/14.48 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 14.13/14.48 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X, U, Z, W )
% 14.13/14.48 ],
% 14.13/14.48 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~( equidistant( Y, Z
% 14.13/14.48 , Y, T ) ), =( X, Y ), =( Z, T ) ],
% 14.13/14.48 [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, Y, Y, Z ) ) ]
% 14.13/14.48 ,
% 14.13/14.48 [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y ), extension(
% 14.13/14.48 U, W, Z, T ) ), =( U, W ) ],
% 14.13/14.48 [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ), =( X, Y ) ]
% 14.13/14.48 ,
% 14.13/14.48 [ ~( equidistant( v, u, v, reflection( reflection( u, v ), v ) ) ) ]
% 14.13/14.48 ] .
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 percentage equality = 0.219048, percentage horn = 0.785714
% 14.13/14.48 This is a problem with some equality
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 Options Used:
% 14.13/14.48
% 14.13/14.48 useres = 1
% 14.13/14.48 useparamod = 1
% 14.13/14.48 useeqrefl = 1
% 14.13/14.48 useeqfact = 1
% 14.13/14.48 usefactor = 1
% 14.13/14.48 usesimpsplitting = 0
% 14.13/14.48 usesimpdemod = 5
% 14.13/14.48 usesimpres = 3
% 14.13/14.48
% 14.13/14.48 resimpinuse = 1000
% 14.13/14.48 resimpclauses = 20000
% 14.13/14.48 substype = eqrewr
% 14.13/14.48 backwardsubs = 1
% 14.13/14.48 selectoldest = 5
% 14.13/14.48
% 14.13/14.48 litorderings [0] = split
% 14.13/14.48 litorderings [1] = extend the termordering, first sorting on arguments
% 14.13/14.48
% 14.13/14.48 termordering = kbo
% 14.13/14.48
% 14.13/14.48 litapriori = 0
% 14.13/14.48 termapriori = 1
% 14.13/14.48 litaposteriori = 0
% 14.13/14.48 termaposteriori = 0
% 14.13/14.48 demodaposteriori = 0
% 14.13/14.48 ordereqreflfact = 0
% 14.13/14.48
% 14.13/14.48 litselect = negord
% 14.13/14.48
% 14.13/14.48 maxweight = 15
% 14.13/14.48 maxdepth = 30000
% 14.13/14.48 maxlength = 115
% 14.13/14.48 maxnrvars = 195
% 14.13/14.48 excuselevel = 1
% 14.13/14.48 increasemaxweight = 1
% 14.13/14.48
% 14.13/14.48 maxselected = 10000000
% 14.13/14.48 maxnrclauses = 10000000
% 14.13/14.48
% 14.13/14.48 showgenerated = 0
% 14.13/14.48 showkept = 0
% 14.13/14.48 showselected = 0
% 14.13/14.48 showdeleted = 0
% 14.13/14.48 showresimp = 1
% 14.13/14.48 showstatus = 2000
% 14.13/14.48
% 14.13/14.48 prologoutput = 1
% 14.13/14.48 nrgoals = 5000000
% 14.13/14.48 totalproof = 1
% 14.13/14.48
% 14.13/14.48 Symbols occurring in the translation:
% 14.13/14.48
% 14.13/14.48 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 14.13/14.48 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 14.13/14.48 ! [4, 1] (w:0, o:27, a:1, s:1, b:0),
% 14.13/14.48 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 14.13/14.48 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 14.13/14.48 equidistant [41, 4] (w:1, o:59, a:1, s:1, b:0),
% 14.13/14.48 extension [46, 4] (w:1, o:60, a:1, s:1, b:0),
% 14.13/14.48 between [47, 3] (w:1, o:58, a:1, s:1, b:0),
% 14.13/14.48 'inner_pasch' [53, 5] (w:1, o:61, a:1, s:1, b:0),
% 14.13/14.48 'lower_dimension_point_1' [54, 0] (w:1, o:22, a:1, s:1, b:0),
% 14.13/14.48 'lower_dimension_point_2' [55, 0] (w:1, o:23, a:1, s:1, b:0),
% 14.13/14.48 'lower_dimension_point_3' [56, 0] (w:1, o:24, a:1, s:1, b:0),
% 14.13/14.48 euclid1 [57, 5] (w:1, o:62, a:1, s:1, b:0),
% 14.13/14.48 euclid2 [58, 5] (w:1, o:63, a:1, s:1, b:0),
% 14.13/14.48 continuous [59, 6] (w:1, o:64, a:1, s:1, b:0),
% 14.13/14.48 reflection [60, 2] (w:1, o:57, a:1, s:1, b:0),
% 14.13/14.48 v [63, 0] (w:1, o:26, a:1, s:1, b:0),
% 14.13/14.48 u [64, 0] (w:1, o:25, a:1, s:1, b:0).
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 Starting Search:
% 14.13/14.48
% 14.13/14.48 Resimplifying inuse:
% 14.13/14.48 Done
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 Intermediate Status:
% 14.13/14.48 Generated: 8721
% 14.13/14.48 Kept: 2007
% 14.13/14.48 Inuse: 103
% 14.13/14.48 Deleted: 9
% 14.13/14.48 Deletedinuse: 1
% 14.13/14.48
% 14.13/14.48 Resimplifying inuse:
% 14.13/14.48 Done
% 14.13/14.48
% 14.13/14.48 Resimplifying inuse:
% 14.13/14.48 Done
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 Intermediate Status:
% 14.13/14.48 Generated: 20781
% 14.13/14.48 Kept: 4010
% 14.13/14.48 Inuse: 167
% 14.13/14.48 Deleted: 12
% 14.13/14.48 Deletedinuse: 1
% 14.13/14.48
% 14.13/14.48 Resimplifying inuse:
% 14.13/14.48 Done
% 14.13/14.48
% 14.13/14.48 Resimplifying inuse:
% 14.13/14.48 Done
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 Intermediate Status:
% 14.13/14.48 Generated: 33144
% 14.13/14.48 Kept: 6013
% 14.13/14.48 Inuse: 232
% 14.13/14.48 Deleted: 20
% 14.13/14.48 Deletedinuse: 1
% 14.13/14.48
% 14.13/14.48 Resimplifying inuse:
% 14.13/14.48 Done
% 14.13/14.48
% 14.13/14.48 Resimplifying inuse:
% 14.13/14.48 Done
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 Intermediate Status:
% 14.13/14.48 Generated: 45246
% 14.13/14.48 Kept: 8016
% 14.13/14.48 Inuse: 293
% 14.13/14.48 Deleted: 20
% 14.13/14.48 Deletedinuse: 1
% 14.13/14.48
% 14.13/14.48 Resimplifying inuse:
% 14.13/14.48 Done
% 14.13/14.48
% 14.13/14.48 Resimplifying inuse:
% 14.13/14.48 Done
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 Intermediate Status:
% 14.13/14.48 Generated: 61288
% 14.13/14.48 Kept: 10024
% 14.13/14.48 Inuse: 385
% 14.13/14.48 Deleted: 21
% 14.13/14.48 Deletedinuse: 1
% 14.13/14.48
% 14.13/14.48 Resimplifying inuse:
% 14.13/14.48 Done
% 14.13/14.48
% 14.13/14.48 Resimplifying inuse:
% 14.13/14.48 Done
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 Intermediate Status:
% 14.13/14.48 Generated: 77332
% 14.13/14.48 Kept: 12040
% 14.13/14.48 Inuse: 455
% 14.13/14.48 Deleted: 24
% 14.13/14.48 Deletedinuse: 4
% 14.13/14.48
% 14.13/14.48 Resimplifying inuse:
% 14.13/14.48 Done
% 14.13/14.48
% 14.13/14.48 Resimplifying inuse:
% 14.13/14.48 Done
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 Intermediate Status:
% 14.13/14.48 Generated: 92701
% 14.13/14.48 Kept: 14050
% 14.13/14.48 Inuse: 520
% 14.13/14.48 Deleted: 34
% 14.13/14.48 Deletedinuse: 5
% 14.13/14.48
% 14.13/14.48 Resimplifying inuse:
% 14.13/14.48 Done
% 14.13/14.48
% 14.13/14.48 Resimplifying inuse:
% 14.13/14.48 Done
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 Intermediate Status:
% 14.13/14.48 Generated: 111002
% 14.13/14.48 Kept: 16122
% 14.13/14.48 Inuse: 609
% 14.13/14.48 Deleted: 42
% 14.13/14.48 Deletedinuse: 5
% 14.13/14.48
% 14.13/14.48 Resimplifying inuse:
% 14.13/14.48 Done
% 14.13/14.48
% 14.13/14.48 Resimplifying inuse:
% 14.13/14.48 Done
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 Intermediate Status:
% 14.13/14.48 Generated: 127229
% 14.13/14.48 Kept: 18152
% 14.13/14.48 Inuse: 701
% 14.13/14.48 Deleted: 42
% 14.13/14.48 Deletedinuse: 5
% 14.13/14.48
% 14.13/14.48 Resimplifying inuse:
% 14.13/14.48 Done
% 14.13/14.48
% 14.13/14.48 Resimplifying inuse:
% 14.13/14.48 Done
% 14.13/14.48
% 14.13/14.48 Resimplifying clauses:
% 14.13/14.48
% 14.13/14.48 Bliksems!, er is een bewijs:
% 14.13/14.48 % SZS status Unsatisfiable
% 14.13/14.48 % SZS output start Refutation
% 14.13/14.48
% 14.13/14.48 clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) )
% 14.13/14.48 , equidistant( Z, T, U, W ) ] )
% 14.13/14.48 .
% 14.13/14.48 clause( 20, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ]
% 14.13/14.48 )
% 14.13/14.48 .
% 14.13/14.48 clause( 21, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ]
% 14.13/14.48 )
% 14.13/14.48 .
% 14.13/14.48 clause( 26, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X ) ]
% 14.13/14.48 )
% 14.13/14.48 .
% 14.13/14.48 clause( 31, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 14.13/14.48 .
% 14.13/14.48 clause( 41, [ ~( equidistant( v, u, v, reflection( reflection( u, v ), v )
% 14.13/14.48 ) ) ] )
% 14.13/14.48 .
% 14.13/14.48 clause( 85, [ ~( equidistant( X, reflection( Y, X ), Z, T ) ), equidistant(
% 14.13/14.48 Z, T, Y, X ) ] )
% 14.13/14.48 .
% 14.13/14.48 clause( 1040, [ equidistant( reflection( X, Y ), Y, X, Y ) ] )
% 14.13/14.48 .
% 14.13/14.48 clause( 1059, [ equidistant( X, Y, reflection( X, Y ), Y ) ] )
% 14.13/14.48 .
% 14.13/14.48 clause( 1066, [ equidistant( X, Y, reflection( Y, X ), X ) ] )
% 14.13/14.48 .
% 14.13/14.48 clause( 3448, [ ~( equidistant( reflection( reflection( u, v ), v ), v, u,
% 14.13/14.48 v ) ) ] )
% 14.13/14.48 .
% 14.13/14.48 clause( 6646, [ equidistant( reflection( reflection( X, Y ), Y ), Y, X, Y )
% 14.13/14.48 ] )
% 14.13/14.48 .
% 14.13/14.48 clause( 20028, [] )
% 14.13/14.48 .
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 % SZS output end Refutation
% 14.13/14.48 found a proof!
% 14.13/14.48
% 14.13/14.48 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 14.13/14.48
% 14.13/14.48 initialclauses(
% 14.13/14.48 [ clause( 20030, [ equidistant( X, Y, Y, X ) ] )
% 14.13/14.48 , clause( 20031, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 14.13/14.48 , W ) ), equidistant( Z, T, U, W ) ] )
% 14.13/14.48 , clause( 20032, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 14.13/14.48 , clause( 20033, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 14.13/14.48 , clause( 20034, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 14.13/14.48 , clause( 20035, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 14.13/14.48 , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 14.13/14.48 ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 14.13/14.48 equidistant( U, V0, W, V1 ) ] )
% 14.13/14.48 , clause( 20036, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 14.13/14.48 , clause( 20037, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 14.13/14.48 between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 14.13/14.48 , clause( 20038, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 14.13/14.48 between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 14.13/14.48 , clause( 20039, [ ~( between( 'lower_dimension_point_1',
% 14.13/14.48 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 14.13/14.48 , clause( 20040, [ ~( between( 'lower_dimension_point_2',
% 14.13/14.48 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 14.13/14.48 , clause( 20041, [ ~( between( 'lower_dimension_point_3',
% 14.13/14.48 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 14.13/14.48 , clause( 20042, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 14.13/14.48 , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T,
% 14.13/14.48 U, X ), between( U, X, T ), =( Y, Z ) ] )
% 14.13/14.48 , clause( 20043, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 14.13/14.48 Y ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 14.13/14.48 , clause( 20044, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 14.13/14.48 Y ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 14.13/14.48 , clause( 20045, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 14.13/14.48 Y ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ]
% 14.13/14.48 )
% 14.13/14.48 , clause( 20046, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 14.13/14.48 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 14.13/14.48 continuous( X, Y, Z, W, T, U ), U ) ] )
% 14.13/14.48 , clause( 20047, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 14.13/14.48 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 14.13/14.48 , W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 14.13/14.48 , clause( 20048, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 14.13/14.48 , clause( 20049, [ equidistant( X, Y, X, Y ) ] )
% 14.13/14.48 , clause( 20050, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y
% 14.13/14.48 ) ] )
% 14.13/14.48 , clause( 20051, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T
% 14.13/14.48 ) ] )
% 14.13/14.48 , clause( 20052, [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z
% 14.13/14.48 ) ] )
% 14.13/14.48 , clause( 20053, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z
% 14.13/14.48 ) ] )
% 14.13/14.48 , clause( 20054, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X
% 14.13/14.48 ) ] )
% 14.13/14.48 , clause( 20055, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y
% 14.13/14.48 ) ] )
% 14.13/14.48 , clause( 20056, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X
% 14.13/14.48 ) ] )
% 14.13/14.48 , clause( 20057, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U
% 14.13/14.48 , W ) ), equidistant( X, Y, U, W ) ] )
% 14.13/14.48 , clause( 20058, [ =( X, extension( Y, X, Z, Z ) ) ] )
% 14.13/14.48 , clause( 20059, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X )
% 14.13/14.48 ] )
% 14.13/14.48 , clause( 20060, [ between( X, Y, reflection( X, Y ) ) ] )
% 14.13/14.48 , clause( 20061, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 14.13/14.48 , clause( 20062, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 14.13/14.48 , clause( 20063, [ =( X, reflection( X, X ) ) ] )
% 14.13/14.48 , clause( 20064, [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ] )
% 14.13/14.48 , clause( 20065, [ equidistant( X, X, Y, Y ) ] )
% 14.13/14.48 , clause( 20066, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 14.13/14.48 , W ) ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X
% 14.13/14.48 , U, Z, W ) ] )
% 14.13/14.48 , clause( 20067, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~(
% 14.13/14.48 equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 14.13/14.48 , clause( 20068, [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X,
% 14.13/14.48 Y, Y, Z ) ) ] )
% 14.13/14.48 , clause( 20069, [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y
% 14.13/14.48 ), extension( U, W, Z, T ) ), =( U, W ) ] )
% 14.13/14.48 , clause( 20070, [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ),
% 14.13/14.48 =( X, Y ) ] )
% 14.13/14.48 , clause( 20071, [ ~( equidistant( v, u, v, reflection( reflection( u, v )
% 14.13/14.48 , v ) ) ) ] )
% 14.13/14.48 ] ).
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 subsumption(
% 14.13/14.48 clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) )
% 14.13/14.48 , equidistant( Z, T, U, W ) ] )
% 14.13/14.48 , clause( 20031, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 14.13/14.48 , W ) ), equidistant( Z, T, U, W ) ] )
% 14.13/14.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 14.13/14.48 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 14.13/14.48 , 2 )] ) ).
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 subsumption(
% 14.13/14.48 clause( 20, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ]
% 14.13/14.48 )
% 14.13/14.48 , clause( 20050, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y
% 14.13/14.48 ) ] )
% 14.13/14.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 14.13/14.48 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 subsumption(
% 14.13/14.48 clause( 21, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ]
% 14.13/14.48 )
% 14.13/14.48 , clause( 20051, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T
% 14.13/14.48 ) ] )
% 14.13/14.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 14.13/14.48 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 subsumption(
% 14.13/14.48 clause( 26, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X ) ]
% 14.13/14.48 )
% 14.13/14.48 , clause( 20056, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X
% 14.13/14.48 ) ] )
% 14.13/14.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 14.13/14.48 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 subsumption(
% 14.13/14.48 clause( 31, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 14.13/14.48 , clause( 20061, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 14.13/14.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 14.13/14.48 )] ) ).
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 subsumption(
% 14.13/14.48 clause( 41, [ ~( equidistant( v, u, v, reflection( reflection( u, v ), v )
% 14.13/14.48 ) ) ] )
% 14.13/14.48 , clause( 20071, [ ~( equidistant( v, u, v, reflection( reflection( u, v )
% 14.13/14.48 , v ) ) ) ] )
% 14.13/14.48 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 resolution(
% 14.13/14.48 clause( 20404, [ ~( equidistant( X, reflection( Y, X ), Z, T ) ),
% 14.13/14.48 equidistant( Z, T, Y, X ) ] )
% 14.13/14.48 , clause( 1, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W )
% 14.13/14.48 ), equidistant( Z, T, U, W ) ] )
% 14.13/14.48 , 1, clause( 31, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 14.13/14.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, reflection( Y, X ) ), :=( Z, Z )
% 14.13/14.48 , :=( T, T ), :=( U, Y ), :=( W, X )] ), substitution( 1, [ :=( X, X ),
% 14.13/14.48 :=( Y, Y )] )).
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 subsumption(
% 14.13/14.48 clause( 85, [ ~( equidistant( X, reflection( Y, X ), Z, T ) ), equidistant(
% 14.13/14.48 Z, T, Y, X ) ] )
% 14.13/14.48 , clause( 20404, [ ~( equidistant( X, reflection( Y, X ), Z, T ) ),
% 14.13/14.48 equidistant( Z, T, Y, X ) ] )
% 14.13/14.48 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 14.13/14.48 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 resolution(
% 14.13/14.48 clause( 20405, [ equidistant( reflection( Y, X ), X, Y, X ) ] )
% 14.13/14.48 , clause( 21, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ]
% 14.13/14.48 )
% 14.13/14.48 , 0, clause( 31, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 14.13/14.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, reflection( Y, X ) ), :=( Z, Y )
% 14.13/14.48 , :=( T, X )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 subsumption(
% 14.13/14.48 clause( 1040, [ equidistant( reflection( X, Y ), Y, X, Y ) ] )
% 14.13/14.48 , clause( 20405, [ equidistant( reflection( Y, X ), X, Y, X ) ] )
% 14.13/14.48 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 14.13/14.48 )] ) ).
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 resolution(
% 14.13/14.48 clause( 20406, [ equidistant( X, Y, reflection( X, Y ), Y ) ] )
% 14.13/14.48 , clause( 20, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ]
% 14.13/14.48 )
% 14.13/14.48 , 0, clause( 1040, [ equidistant( reflection( X, Y ), Y, X, Y ) ] )
% 14.13/14.48 , 0, substitution( 0, [ :=( X, reflection( X, Y ) ), :=( Y, Y ), :=( Z, X )
% 14.13/14.48 , :=( T, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 subsumption(
% 14.13/14.48 clause( 1059, [ equidistant( X, Y, reflection( X, Y ), Y ) ] )
% 14.13/14.48 , clause( 20406, [ equidistant( X, Y, reflection( X, Y ), Y ) ] )
% 14.13/14.48 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 14.13/14.48 )] ) ).
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 resolution(
% 14.13/14.48 clause( 20407, [ equidistant( Y, X, reflection( X, Y ), Y ) ] )
% 14.13/14.48 , clause( 21, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ]
% 14.13/14.48 )
% 14.13/14.48 , 0, clause( 1059, [ equidistant( X, Y, reflection( X, Y ), Y ) ] )
% 14.13/14.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, reflection( X, Y ) )
% 14.13/14.48 , :=( T, Y )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 subsumption(
% 14.13/14.48 clause( 1066, [ equidistant( X, Y, reflection( Y, X ), X ) ] )
% 14.13/14.48 , clause( 20407, [ equidistant( Y, X, reflection( X, Y ), Y ) ] )
% 14.13/14.48 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 14.13/14.48 )] ) ).
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 resolution(
% 14.13/14.48 clause( 20408, [ ~( equidistant( reflection( reflection( u, v ), v ), v, u
% 14.13/14.48 , v ) ) ] )
% 14.13/14.48 , clause( 41, [ ~( equidistant( v, u, v, reflection( reflection( u, v ), v
% 14.13/14.48 ) ) ) ] )
% 14.13/14.48 , 0, clause( 26, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X
% 14.13/14.48 ) ] )
% 14.13/14.48 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, reflection(
% 14.13/14.48 reflection( u, v ), v ) ), :=( Y, v ), :=( Z, u ), :=( T, v )] )).
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 subsumption(
% 14.13/14.48 clause( 3448, [ ~( equidistant( reflection( reflection( u, v ), v ), v, u,
% 14.13/14.48 v ) ) ] )
% 14.13/14.48 , clause( 20408, [ ~( equidistant( reflection( reflection( u, v ), v ), v,
% 14.13/14.48 u, v ) ) ] )
% 14.13/14.48 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 resolution(
% 14.13/14.48 clause( 20409, [ equidistant( reflection( reflection( Y, X ), X ), X, Y, X
% 14.13/14.48 ) ] )
% 14.13/14.48 , clause( 85, [ ~( equidistant( X, reflection( Y, X ), Z, T ) ),
% 14.13/14.48 equidistant( Z, T, Y, X ) ] )
% 14.13/14.48 , 0, clause( 1066, [ equidistant( X, Y, reflection( Y, X ), X ) ] )
% 14.13/14.48 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, reflection(
% 14.13/14.48 reflection( Y, X ), X ) ), :=( T, X )] ), substitution( 1, [ :=( X, X ),
% 14.13/14.48 :=( Y, reflection( Y, X ) )] )).
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 subsumption(
% 14.13/14.48 clause( 6646, [ equidistant( reflection( reflection( X, Y ), Y ), Y, X, Y )
% 14.13/14.48 ] )
% 14.13/14.48 , clause( 20409, [ equidistant( reflection( reflection( Y, X ), X ), X, Y,
% 14.13/14.48 X ) ] )
% 14.13/14.48 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 14.13/14.48 )] ) ).
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 resolution(
% 14.13/14.48 clause( 20410, [] )
% 14.13/14.48 , clause( 3448, [ ~( equidistant( reflection( reflection( u, v ), v ), v, u
% 14.13/14.48 , v ) ) ] )
% 14.13/14.48 , 0, clause( 6646, [ equidistant( reflection( reflection( X, Y ), Y ), Y, X
% 14.13/14.48 , Y ) ] )
% 14.13/14.48 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, u ), :=( Y, v )] )
% 14.13/14.48 ).
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 subsumption(
% 14.13/14.48 clause( 20028, [] )
% 14.13/14.48 , clause( 20410, [] )
% 14.13/14.48 , substitution( 0, [] ), permutation( 0, [] ) ).
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 end.
% 14.13/14.48
% 14.13/14.48 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 14.13/14.48
% 14.13/14.48 Memory use:
% 14.13/14.48
% 14.13/14.48 space for terms: 317190
% 14.13/14.48 space for clauses: 872636
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 clauses generated: 240637
% 14.13/14.48 clauses kept: 20029
% 14.13/14.48 clauses selected: 777
% 14.13/14.48 clauses deleted: 89
% 14.13/14.48 clauses inuse deleted: 5
% 14.13/14.48
% 14.13/14.48 subsentry: 446568
% 14.13/14.48 literals s-matched: 253121
% 14.13/14.48 literals matched: 209774
% 14.13/14.48 full subsumption: 105396
% 14.13/14.48
% 14.13/14.48 checksum: 604130915
% 14.13/14.48
% 14.13/14.48
% 14.13/14.48 Bliksem ended
%------------------------------------------------------------------------------