TSTP Solution File: GEO001-2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO001-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 02:50:39 EDT 2022
% Result : Unsatisfiable 5.98s 6.39s
% Output : Refutation 5.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GEO001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.15 % Command : bliksem %s
% 0.14/0.37 % Computer : n011.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % DateTime : Sat Jun 18 13:18:23 EDT 2022
% 0.21/0.37 % CPUTime :
% 5.98/6.39 *** allocated 10000 integers for termspace/termends
% 5.98/6.39 *** allocated 10000 integers for clauses
% 5.98/6.39 *** allocated 10000 integers for justifications
% 5.98/6.39 Bliksem 1.12
% 5.98/6.39
% 5.98/6.39
% 5.98/6.39 Automatic Strategy Selection
% 5.98/6.39
% 5.98/6.39 Clauses:
% 5.98/6.39 [
% 5.98/6.39 [ equidistant( X, Y, Y, X ) ],
% 5.98/6.39 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 5.98/6.39 equidistant( Z, T, U, W ) ],
% 5.98/6.39 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 5.98/6.39 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 5.98/6.39 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 5.98/6.39 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 5.98/6.39 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 5.98/6.39 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 5.98/6.39 , V0, W, V1 ) ],
% 5.98/6.39 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 5.98/6.39 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 5.98/6.39 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 5.98/6.39 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 5.98/6.39 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 5.98/6.39 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 5.98/6.39 'lower_dimension_point_3' ) ) ],
% 5.98/6.39 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 5.98/6.39 'lower_dimension_point_1' ) ) ],
% 5.98/6.39 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 5.98/6.39 'lower_dimension_point_2' ) ) ],
% 5.98/6.39 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 5.98/6.39 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 5.98/6.39 between( U, X, T ), =( Y, Z ) ],
% 5.98/6.39 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 5.98/6.39 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 5.98/6.39 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 5.98/6.39 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 5.98/6.39 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 5.98/6.39 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 5.98/6.39 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 5.98/6.39 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 5.98/6.39 , Y, Z, W, T, U ), U ) ],
% 5.98/6.39 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 5.98/6.39 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 5.98/6.39 continuous( X, Y, Z, W, T, U ) ) ],
% 5.98/6.39 [ between( a, b, c ) ],
% 5.98/6.39 [ ~( between( c, b, a ) ) ]
% 5.98/6.39 ] .
% 5.98/6.39
% 5.98/6.39
% 5.98/6.39 percentage equality = 0.120690, percentage horn = 0.750000
% 5.98/6.39 This is a problem with some equality
% 5.98/6.39
% 5.98/6.39
% 5.98/6.39
% 5.98/6.39 Options Used:
% 5.98/6.39
% 5.98/6.39 useres = 1
% 5.98/6.39 useparamod = 1
% 5.98/6.39 useeqrefl = 1
% 5.98/6.39 useeqfact = 1
% 5.98/6.39 usefactor = 1
% 5.98/6.39 usesimpsplitting = 0
% 5.98/6.39 usesimpdemod = 5
% 5.98/6.39 usesimpres = 3
% 5.98/6.39
% 5.98/6.39 resimpinuse = 1000
% 5.98/6.39 resimpclauses = 20000
% 5.98/6.39 substype = eqrewr
% 5.98/6.39 backwardsubs = 1
% 5.98/6.39 selectoldest = 5
% 5.98/6.39
% 5.98/6.39 litorderings [0] = split
% 5.98/6.39 litorderings [1] = extend the termordering, first sorting on arguments
% 5.98/6.39
% 5.98/6.39 termordering = kbo
% 5.98/6.39
% 5.98/6.39 litapriori = 0
% 5.98/6.39 termapriori = 1
% 5.98/6.39 litaposteriori = 0
% 5.98/6.39 termaposteriori = 0
% 5.98/6.39 demodaposteriori = 0
% 5.98/6.39 ordereqreflfact = 0
% 5.98/6.39
% 5.98/6.39 litselect = negord
% 5.98/6.39
% 5.98/6.39 maxweight = 15
% 5.98/6.39 maxdepth = 30000
% 5.98/6.39 maxlength = 115
% 5.98/6.39 maxnrvars = 195
% 5.98/6.39 excuselevel = 1
% 5.98/6.39 increasemaxweight = 1
% 5.98/6.39
% 5.98/6.39 maxselected = 10000000
% 5.98/6.39 maxnrclauses = 10000000
% 5.98/6.39
% 5.98/6.39 showgenerated = 0
% 5.98/6.39 showkept = 0
% 5.98/6.39 showselected = 0
% 5.98/6.39 showdeleted = 0
% 5.98/6.39 showresimp = 1
% 5.98/6.39 showstatus = 2000
% 5.98/6.39
% 5.98/6.39 prologoutput = 1
% 5.98/6.39 nrgoals = 5000000
% 5.98/6.39 totalproof = 1
% 5.98/6.39
% 5.98/6.39 Symbols occurring in the translation:
% 5.98/6.39
% 5.98/6.39 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.98/6.39 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 5.98/6.39 ! [4, 1] (w:0, o:26, a:1, s:1, b:0),
% 5.98/6.39 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.98/6.39 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.98/6.39 equidistant [41, 4] (w:1, o:57, a:1, s:1, b:0),
% 5.98/6.39 extension [46, 4] (w:1, o:58, a:1, s:1, b:0),
% 5.98/6.39 between [47, 3] (w:1, o:56, a:1, s:1, b:0),
% 5.98/6.39 'inner_pasch' [53, 5] (w:1, o:59, a:1, s:1, b:0),
% 5.98/6.39 'lower_dimension_point_1' [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 5.98/6.39 'lower_dimension_point_2' [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 5.98/6.39 'lower_dimension_point_3' [56, 0] (w:1, o:22, a:1, s:1, b:0),
% 5.98/6.39 euclid1 [57, 5] (w:1, o:60, a:1, s:1, b:0),
% 5.98/6.39 euclid2 [58, 5] (w:1, o:61, a:1, s:1, b:0),
% 5.98/6.39 continuous [59, 6] (w:1, o:62, a:1, s:1, b:0),
% 5.98/6.39 a [60, 0] (w:1, o:23, a:1, s:1, b:0),
% 5.98/6.39 b [61, 0] (w:1, o:24, a:1, s:1, b:0),
% 5.98/6.39 c [62, 0] (w:1, o:25, a:1, s:1, b:0).
% 5.98/6.39
% 5.98/6.39
% 5.98/6.39 Starting Search:
% 5.98/6.39
% 5.98/6.39 Resimplifying inuse:
% 5.98/6.39 Done
% 5.98/6.39
% 5.98/6.39
% 5.98/6.39 Intermediate Status:
% 5.98/6.39 Generated: 17524
% 5.98/6.39 Kept: 2011
% 5.98/6.39 Inuse: 202
% 5.98/6.39 Deleted: 37
% 5.98/6.39 Deletedinuse: 1
% 5.98/6.39
% 5.98/6.39 Resimplifying inuse:
% 5.98/6.39 Done
% 5.98/6.39
% 5.98/6.39 Resimplifying inuse:
% 5.98/6.39 Done
% 5.98/6.39
% 5.98/6.39
% 5.98/6.39 Intermediate Status:
% 5.98/6.39 Generated: 37200
% 5.98/6.39 Kept: 4012
% 5.98/6.39 Inuse: 351
% 5.98/6.39 Deleted: 61
% 5.98/6.39 Deletedinuse: 2
% 5.98/6.39
% 5.98/6.39 Resimplifying inuse:
% 5.98/6.39 Done
% 5.98/6.39
% 5.98/6.39 Resimplifying inuse:
% 5.98/6.39 Done
% 5.98/6.39
% 5.98/6.39
% 5.98/6.39 Intermediate Status:
% 5.98/6.39 Generated: 60959
% 5.98/6.39 Kept: 6028
% 5.98/6.39 Inuse: 526
% 5.98/6.39 Deleted: 62
% 5.98/6.39 Deletedinuse: 3
% 5.98/6.39
% 5.98/6.39 Resimplifying inuse:
% 5.98/6.39 Done
% 5.98/6.39
% 5.98/6.39 Resimplifying inuse:
% 5.98/6.39 Done
% 5.98/6.39
% 5.98/6.39
% 5.98/6.39 Intermediate Status:
% 5.98/6.39 Generated: 83875
% 5.98/6.39 Kept: 8030
% 5.98/6.39 Inuse: 713
% 5.98/6.39 Deleted: 67
% 5.98/6.39 Deletedinuse: 8
% 5.98/6.39
% 5.98/6.39 Resimplifying inuse:
% 5.98/6.39 Done
% 5.98/6.39
% 5.98/6.39 Resimplifying inuse:
% 5.98/6.39 Done
% 5.98/6.39
% 5.98/6.39
% 5.98/6.39 Intermediate Status:
% 5.98/6.39 Generated: 149013
% 5.98/6.39 Kept: 10040
% 5.98/6.39 Inuse: 786
% 5.98/6.39 Deleted: 67
% 5.98/6.39 Deletedinuse: 8
% 5.98/6.39
% 5.98/6.39 Resimplifying inuse:
% 5.98/6.39 Done
% 5.98/6.39
% 5.98/6.39 Resimplifying inuse:
% 5.98/6.39 Done
% 5.98/6.39
% 5.98/6.39
% 5.98/6.39 Intermediate Status:
% 5.98/6.39 Generated: 286426
% 5.98/6.39 Kept: 12053
% 5.98/6.39 Inuse: 911
% 5.98/6.39 Deleted: 67
% 5.98/6.39 Deletedinuse: 8
% 5.98/6.39
% 5.98/6.39 Resimplifying inuse:
% 5.98/6.39 Done
% 5.98/6.39
% 5.98/6.39 Resimplifying inuse:
% 5.98/6.39 Done
% 5.98/6.39
% 5.98/6.39
% 5.98/6.39 Intermediate Status:
% 5.98/6.39 Generated: 377413
% 5.98/6.39 Kept: 14060
% 5.98/6.39 Inuse: 1041
% 5.98/6.39 Deleted: 67
% 5.98/6.39 Deletedinuse: 8
% 5.98/6.39
% 5.98/6.39 Resimplifying inuse:
% 5.98/6.39 Done
% 5.98/6.39
% 5.98/6.39 Resimplifying inuse:
% 5.98/6.39 Done
% 5.98/6.39
% 5.98/6.39
% 5.98/6.39 Intermediate Status:
% 5.98/6.39 Generated: 433422
% 5.98/6.39 Kept: 16067
% 5.98/6.39 Inuse: 1139
% 5.98/6.39 Deleted: 83
% 5.98/6.39 Deletedinuse: 23
% 5.98/6.39
% 5.98/6.39 Resimplifying inuse:
% 5.98/6.39 Done
% 5.98/6.39
% 5.98/6.39
% 5.98/6.39 Bliksems!, er is een bewijs:
% 5.98/6.39 % SZS status Unsatisfiable
% 5.98/6.39 % SZS output start Refutation
% 5.98/6.39
% 5.98/6.39 clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 5.98/6.39 .
% 5.98/6.39 clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 5.98/6.39 .
% 5.98/6.39 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 5.98/6.39 .
% 5.98/6.39 clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 5.98/6.39 .
% 5.98/6.39 clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 5.98/6.39 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 5.98/6.39 .
% 5.98/6.39 clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 5.98/6.39 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 5.98/6.39 .
% 5.98/6.39 clause( 18, [ between( a, b, c ) ] )
% 5.98/6.39 .
% 5.98/6.39 clause( 19, [ ~( between( c, b, a ) ) ] )
% 5.98/6.39 .
% 5.98/6.39 clause( 60, [ ~( between( c, X, a ) ), ~( between( b, X, b ) ) ] )
% 5.98/6.39 .
% 5.98/6.39 clause( 235, [ =( extension( Y, X, Z, Z ), X ) ] )
% 5.98/6.39 .
% 5.98/6.39 clause( 241, [ between( X, Y, Y ) ] )
% 5.98/6.39 .
% 5.98/6.39 clause( 348, [ ~( between( X, Y, c ) ), between( Y, 'inner_pasch'( X, Y, c
% 5.98/6.39 , b, a ), a ) ] )
% 5.98/6.39 .
% 5.98/6.39 clause( 15867, [ ~( between( b, 'inner_pasch'( X, c, c, b, a ), b ) ) ] )
% 5.98/6.39 .
% 5.98/6.39 clause( 17276, [ ~( between( a, b, c ) ) ] )
% 5.98/6.39 .
% 5.98/6.39 clause( 17300, [] )
% 5.98/6.39 .
% 5.98/6.39
% 5.98/6.39
% 5.98/6.39 % SZS output end Refutation
% 5.98/6.39 found a proof!
% 5.98/6.39
% 5.98/6.39 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 5.98/6.39
% 5.98/6.39 initialclauses(
% 5.98/6.39 [ clause( 17302, [ equidistant( X, Y, Y, X ) ] )
% 5.98/6.39 , clause( 17303, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 5.98/6.39 , W ) ), equidistant( Z, T, U, W ) ] )
% 5.98/6.39 , clause( 17304, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 5.98/6.39 , clause( 17305, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 5.98/6.39 , clause( 17306, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 5.98/6.39 , clause( 17307, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 5.98/6.39 , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 5.98/6.39 ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 5.98/6.39 equidistant( U, V0, W, V1 ) ] )
% 5.98/6.39 , clause( 17308, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 5.98/6.39 , clause( 17309, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 5.98/6.39 between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 5.98/6.39 , clause( 17310, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 5.98/6.39 between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 5.98/6.39 , clause( 17311, [ ~( between( 'lower_dimension_point_1',
% 5.98/6.39 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 5.98/6.39 , clause( 17312, [ ~( between( 'lower_dimension_point_2',
% 5.98/6.39 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 5.98/6.39 , clause( 17313, [ ~( between( 'lower_dimension_point_3',
% 5.98/6.39 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 5.98/6.39 , clause( 17314, [ ~( equidistant( X,Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------