TSTP Solution File: GEO002-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO002-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 02:50:41 EDT 2022
% Result : Unsatisfiable 2.40s 2.83s
% Output : Refutation 2.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO002-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n025.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 14:06:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.40/2.83 *** allocated 10000 integers for termspace/termends
% 2.40/2.83 *** allocated 10000 integers for clauses
% 2.40/2.83 *** allocated 10000 integers for justifications
% 2.40/2.83 Bliksem 1.12
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 Automatic Strategy Selection
% 2.40/2.83
% 2.40/2.83 Clauses:
% 2.40/2.83 [
% 2.40/2.83 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 2.40/2.83 [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X, Y, T ) ]
% 2.40/2.83 ,
% 2.40/2.83 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between(
% 2.40/2.83 X, Z, T ), between( X, T, Z ) ],
% 2.40/2.83 [ equidistant( X, Y, Y, X ) ],
% 2.40/2.83 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 2.40/2.83 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 2.40/2.83 equidistant( Z, T, U, W ) ],
% 2.40/2.83 [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( X,
% 2.40/2.83 'outer_pasch'( Y, X, T, U, Z ), T ) ],
% 2.40/2.83 [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( U, Y,
% 2.40/2.83 'outer_pasch'( Y, X, T, U, Z ) ) ],
% 2.40/2.83 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 2.40/2.83 X, U, euclid1( Z, X, T, U, Y ) ) ],
% 2.40/2.83 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 2.40/2.83 X, T, euclid2( Z, X, T, U, Y ) ) ],
% 2.40/2.83 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 2.40/2.83 euclid1( Z, X, T, U, Y ), Z, euclid2( Z, X, T, U, Y ) ) ],
% 2.40/2.83 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 2.40/2.83 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 2.40/2.83 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 2.40/2.83 , V0, W, V1 ) ],
% 2.40/2.83 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 2.40/2.83 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 2.40/2.83 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 2.40/2.83 'lower_dimension_point_3' ) ) ],
% 2.40/2.83 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 2.40/2.83 'lower_dimension_point_1' ) ) ],
% 2.40/2.83 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 2.40/2.83 'lower_dimension_point_2' ) ) ],
% 2.40/2.83 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 2.40/2.83 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 2.40/2.83 between( U, X, T ), =( Y, Z ) ],
% 2.40/2.83 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 2.40/2.83 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 2.40/2.83 continuous( Y, W, T, Z, U, X ) ) ],
% 2.40/2.83 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 2.40/2.83 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( Y
% 2.40/2.83 , W, T, Z, U, X ), U ) ],
% 2.40/2.83 [ ~( between( a, a, b ) ) ]
% 2.40/2.83 ] .
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 percentage equality = 0.123077, percentage horn = 0.714286
% 2.40/2.83 This is a problem with some equality
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 Options Used:
% 2.40/2.83
% 2.40/2.83 useres = 1
% 2.40/2.83 useparamod = 1
% 2.40/2.83 useeqrefl = 1
% 2.40/2.83 useeqfact = 1
% 2.40/2.83 usefactor = 1
% 2.40/2.83 usesimpsplitting = 0
% 2.40/2.83 usesimpdemod = 5
% 2.40/2.83 usesimpres = 3
% 2.40/2.83
% 2.40/2.83 resimpinuse = 1000
% 2.40/2.83 resimpclauses = 20000
% 2.40/2.83 substype = eqrewr
% 2.40/2.83 backwardsubs = 1
% 2.40/2.83 selectoldest = 5
% 2.40/2.83
% 2.40/2.83 litorderings [0] = split
% 2.40/2.83 litorderings [1] = extend the termordering, first sorting on arguments
% 2.40/2.83
% 2.40/2.83 termordering = kbo
% 2.40/2.83
% 2.40/2.83 litapriori = 0
% 2.40/2.83 termapriori = 1
% 2.40/2.83 litaposteriori = 0
% 2.40/2.83 termaposteriori = 0
% 2.40/2.83 demodaposteriori = 0
% 2.40/2.83 ordereqreflfact = 0
% 2.40/2.83
% 2.40/2.83 litselect = negord
% 2.40/2.83
% 2.40/2.83 maxweight = 15
% 2.40/2.83 maxdepth = 30000
% 2.40/2.83 maxlength = 115
% 2.40/2.83 maxnrvars = 195
% 2.40/2.83 excuselevel = 1
% 2.40/2.83 increasemaxweight = 1
% 2.40/2.83
% 2.40/2.83 maxselected = 10000000
% 2.40/2.83 maxnrclauses = 10000000
% 2.40/2.83
% 2.40/2.83 showgenerated = 0
% 2.40/2.83 showkept = 0
% 2.40/2.83 showselected = 0
% 2.40/2.83 showdeleted = 0
% 2.40/2.83 showresimp = 1
% 2.40/2.83 showstatus = 2000
% 2.40/2.83
% 2.40/2.83 prologoutput = 1
% 2.40/2.83 nrgoals = 5000000
% 2.40/2.83 totalproof = 1
% 2.40/2.83
% 2.40/2.83 Symbols occurring in the translation:
% 2.40/2.83
% 2.40/2.83 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.40/2.83 . [1, 2] (w:1, o:29, a:1, s:1, b:0),
% 2.40/2.83 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 2.40/2.83 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.40/2.83 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.40/2.83 between [41, 3] (w:1, o:54, a:1, s:1, b:0),
% 2.40/2.83 equidistant [44, 4] (w:1, o:55, a:1, s:1, b:0),
% 2.40/2.83 'outer_pasch' [47, 5] (w:1, o:57, a:1, s:1, b:0),
% 2.40/2.83 euclid1 [48, 5] (w:1, o:58, a:1, s:1, b:0),
% 2.40/2.83 euclid2 [49, 5] (w:1, o:59, a:1, s:1, b:0),
% 2.40/2.83 extension [54, 4] (w:1, o:56, a:1, s:1, b:0),
% 2.40/2.83 'lower_dimension_point_1' [55, 0] (w:1, o:19, a:1, s:1, b:0),
% 2.40/2.83 'lower_dimension_point_2' [56, 0] (w:1, o:20, a:1, s:1, b:0),
% 2.40/2.83 'lower_dimension_point_3' [57, 0] (w:1, o:21, a:1, s:1, b:0),
% 2.40/2.83 continuous [58, 6] (w:1, o:60, a:1, s:1, b:0),
% 2.40/2.83 a [59, 0] (w:1, o:22, a:1, s:1, b:0),
% 2.40/2.83 b [60, 0] (w:1, o:23, a:1, s:1, b:0).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 Starting Search:
% 2.40/2.83
% 2.40/2.83 Resimplifying inuse:
% 2.40/2.83 Done
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 Intermediate Status:
% 2.40/2.83 Generated: 17540
% 2.40/2.83 Kept: 2013
% 2.40/2.83 Inuse: 168
% 2.40/2.83 Deleted: 45
% 2.40/2.83 Deletedinuse: 15
% 2.40/2.83
% 2.40/2.83 Resimplifying inuse:
% 2.40/2.83 Done
% 2.40/2.83
% 2.40/2.83 Resimplifying inuse:
% 2.40/2.83 Done
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 Intermediate Status:
% 2.40/2.83 Generated: 35897
% 2.40/2.83 Kept: 4019
% 2.40/2.83 Inuse: 341
% 2.40/2.83 Deleted: 62
% 2.40/2.83 Deletedinuse: 16
% 2.40/2.83
% 2.40/2.83 Resimplifying inuse:
% 2.40/2.83 Done
% 2.40/2.83
% 2.40/2.83 Resimplifying inuse:
% 2.40/2.83 Done
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 Intermediate Status:
% 2.40/2.83 Generated: 63071
% 2.40/2.83 Kept: 6025
% 2.40/2.83 Inuse: 545
% 2.40/2.83 Deleted: 63
% 2.40/2.83 Deletedinuse: 16
% 2.40/2.83
% 2.40/2.83 Resimplifying inuse:
% 2.40/2.83 Done
% 2.40/2.83
% 2.40/2.83 Resimplifying inuse:
% 2.40/2.83 Done
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 Intermediate Status:
% 2.40/2.83 Generated: 140810
% 2.40/2.83 Kept: 8031
% 2.40/2.83 Inuse: 737
% 2.40/2.83 Deleted: 63
% 2.40/2.83 Deletedinuse: 16
% 2.40/2.83
% 2.40/2.83 Resimplifying inuse:
% 2.40/2.83 Done
% 2.40/2.83
% 2.40/2.83 Resimplifying inuse:
% 2.40/2.83 Done
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 Bliksems!, er is een bewijs:
% 2.40/2.83 % SZS status Unsatisfiable
% 2.40/2.83 % SZS output start Refutation
% 2.40/2.83
% 2.40/2.83 clause( 0, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 2.40/2.83 .
% 2.40/2.83 clause( 1, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X,
% 2.40/2.83 Y, T ) ] )
% 2.40/2.83 .
% 2.40/2.83 clause( 4, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 2.40/2.83 .
% 2.40/2.83 clause( 6, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( X,
% 2.40/2.83 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 2.40/2.83 .
% 2.40/2.83 clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( U,
% 2.40/2.83 Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 2.40/2.83 .
% 2.40/2.83 clause( 12, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 2.40/2.83 .
% 2.40/2.83 clause( 13, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 2.40/2.83 .
% 2.40/2.83 clause( 20, [ ~( between( a, a, b ) ) ] )
% 2.40/2.83 .
% 2.40/2.83 clause( 126, [ ~( between( a, a, X ) ), ~( between( a, b, X ) ) ] )
% 2.40/2.83 .
% 2.40/2.83 clause( 326, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), =(
% 2.40/2.83 'outer_pasch'( Y, X, X, T, Z ), X ) ] )
% 2.40/2.83 .
% 2.40/2.83 clause( 405, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), ~( between(
% 2.40/2.83 Y, W, 'outer_pasch'( Y, X, T, U, Z ) ) ), between( U, Y, W ) ] )
% 2.40/2.83 .
% 2.40/2.83 clause( 420, [ ~( between( X, Y, Y ) ), between( Y, Y, Z ), ~( between( Y,
% 2.40/2.83 Z, X ) ) ] )
% 2.40/2.83 .
% 2.40/2.83 clause( 962, [ =( extension( Y, X, Z, Z ), X ) ] )
% 2.40/2.83 .
% 2.40/2.83 clause( 978, [ between( X, Y, Y ) ] )
% 2.40/2.83 .
% 2.40/2.83 clause( 9774, [ between( Y, Y, Z ), ~( between( Y, Z, X ) ) ] )
% 2.40/2.83 .
% 2.40/2.83 clause( 9814, [ ~( between( a, X, Y ) ), ~( between( a, b, X ) ) ] )
% 2.40/2.83 .
% 2.40/2.83 clause( 9816, [] )
% 2.40/2.83 .
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 % SZS output end Refutation
% 2.40/2.83 found a proof!
% 2.40/2.83
% 2.40/2.83 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.40/2.83
% 2.40/2.83 initialclauses(
% 2.40/2.83 [ clause( 9818, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 2.40/2.83 , clause( 9819, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between(
% 2.40/2.83 X, Y, T ) ] )
% 2.40/2.83 , clause( 9820, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y
% 2.40/2.83 ), between( X, Z, T ), between( X, T, Z ) ] )
% 2.40/2.83 , clause( 9821, [ equidistant( X, Y, Y, X ) ] )
% 2.40/2.83 , clause( 9822, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 2.40/2.83 , clause( 9823, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 2.40/2.83 W ) ), equidistant( Z, T, U, W ) ] )
% 2.40/2.83 , clause( 9824, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between(
% 2.40/2.83 X, 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 2.40/2.83 , clause( 9825, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between(
% 2.40/2.83 U, Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 2.40/2.83 , clause( 9826, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 2.40/2.83 ), between( X, U, euclid1( Z, X, T, U, Y ) ) ] )
% 2.40/2.83 , clause( 9827, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 2.40/2.83 ), between( X, T, euclid2( Z, X, T, U, Y ) ) ] )
% 2.40/2.83 , clause( 9828, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 2.40/2.83 ), between( euclid1( Z, X, T, U, Y ), Z, euclid2( Z, X, T, U, Y ) ) ] )
% 2.40/2.83 , clause( 9829, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T,
% 2.40/2.83 W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) )
% 2.40/2.83 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 2.40/2.83 equidistant( U, V0, W, V1 ) ] )
% 2.40/2.83 , clause( 9830, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 2.40/2.83 , clause( 9831, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 2.40/2.83 , clause( 9832, [ ~( between( 'lower_dimension_point_1',
% 2.40/2.83 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 2.40/2.83 , clause( 9833, [ ~( between( 'lower_dimension_point_2',
% 2.40/2.83 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 2.40/2.83 , clause( 9834, [ ~( between( 'lower_dimension_point_3',
% 2.40/2.83 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 2.40/2.83 , clause( 9835, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T,
% 2.40/2.83 Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U
% 2.40/2.83 , X ), between( U, X, T ), =( Y, Z ) ] )
% 2.40/2.83 , clause( 9836, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 2.40/2.83 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X,
% 2.40/2.83 W, X, continuous( Y, W, T, Z, U, X ) ) ] )
% 2.40/2.83 , clause( 9837, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 2.40/2.83 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 2.40/2.83 continuous( Y, W, T, Z, U, X ), U ) ] )
% 2.40/2.83 , clause( 9838, [ ~( between( a, a, b ) ) ] )
% 2.40/2.83 ] ).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 subsumption(
% 2.40/2.83 clause( 0, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 2.40/2.83 , clause( 9818, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 2.40/2.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.40/2.83 ), ==>( 1, 1 )] ) ).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 subsumption(
% 2.40/2.83 clause( 1, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X,
% 2.40/2.83 Y, T ) ] )
% 2.40/2.83 , clause( 9819, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between(
% 2.40/2.83 X, Y, T ) ] )
% 2.40/2.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 2.40/2.83 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 subsumption(
% 2.40/2.83 clause( 4, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 2.40/2.83 , clause( 9822, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 2.40/2.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.40/2.83 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 subsumption(
% 2.40/2.83 clause( 6, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( X,
% 2.40/2.83 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 2.40/2.83 , clause( 9824, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between(
% 2.40/2.83 X, 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 2.40/2.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 2.40/2.83 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 2.40/2.83 ).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 subsumption(
% 2.40/2.83 clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( U,
% 2.40/2.83 Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 2.40/2.83 , clause( 9825, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between(
% 2.40/2.83 U, Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 2.40/2.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 2.40/2.83 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 2.40/2.83 ).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 subsumption(
% 2.40/2.83 clause( 12, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 2.40/2.83 , clause( 9830, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 2.40/2.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 2.40/2.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 subsumption(
% 2.40/2.83 clause( 13, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 2.40/2.83 , clause( 9831, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 2.40/2.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 2.40/2.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 subsumption(
% 2.40/2.83 clause( 20, [ ~( between( a, a, b ) ) ] )
% 2.40/2.83 , clause( 9838, [ ~( between( a, a, b ) ) ] )
% 2.40/2.83 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 resolution(
% 2.40/2.83 clause( 10033, [ ~( between( a, a, X ) ), ~( between( a, b, X ) ) ] )
% 2.40/2.83 , clause( 20, [ ~( between( a, a, b ) ) ] )
% 2.40/2.83 , 0, clause( 1, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between(
% 2.40/2.83 X, Y, T ) ] )
% 2.40/2.83 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, a ), :=(
% 2.40/2.83 Z, X ), :=( T, b )] )).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 subsumption(
% 2.40/2.83 clause( 126, [ ~( between( a, a, X ) ), ~( between( a, b, X ) ) ] )
% 2.40/2.83 , clause( 10033, [ ~( between( a, a, X ) ), ~( between( a, b, X ) ) ] )
% 2.40/2.83 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 2.40/2.83 1 )] ) ).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 eqswap(
% 2.40/2.83 clause( 10034, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 2.40/2.83 , clause( 0, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 2.40/2.83 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 resolution(
% 2.40/2.83 clause( 10035, [ =( 'outer_pasch'( X, Y, Y, Z, T ), Y ), ~( between( Y, X,
% 2.40/2.83 T ) ), ~( between( Y, T, Z ) ) ] )
% 2.40/2.83 , clause( 10034, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 2.40/2.83 , 1, clause( 6, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between(
% 2.40/2.83 X, 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 2.40/2.83 , 2, substitution( 0, [ :=( X, Y ), :=( Y, 'outer_pasch'( X, Y, Y, Z, T ) )] )
% 2.40/2.83 , substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, T ), :=( T, Y ), :=(
% 2.40/2.83 U, Z )] )).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 subsumption(
% 2.40/2.83 clause( 326, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), =(
% 2.40/2.83 'outer_pasch'( Y, X, X, T, Z ), X ) ] )
% 2.40/2.83 , clause( 10035, [ =( 'outer_pasch'( X, Y, Y, Z, T ), Y ), ~( between( Y, X
% 2.40/2.83 , T ) ), ~( between( Y, T, Z ) ) ] )
% 2.40/2.83 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, T ), :=( T, Z )] ),
% 2.40/2.83 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 resolution(
% 2.40/2.83 clause( 10048, [ ~( between( Y, W, 'outer_pasch'( Y, Z, T, X, U ) ) ),
% 2.40/2.83 between( X, Y, W ), ~( between( Z, Y, U ) ), ~( between( T, U, X ) ) ] )
% 2.40/2.83 , clause( 1, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X
% 2.40/2.83 , Y, T ) ] )
% 2.40/2.83 , 0, clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between(
% 2.40/2.83 U, Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 2.40/2.83 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, 'outer_pasch'( Y, Z
% 2.40/2.83 , T, X, U ) ), :=( T, W )] ), substitution( 1, [ :=( X, Z ), :=( Y, Y ),
% 2.40/2.83 :=( Z, U ), :=( T, T ), :=( U, X )] )).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 subsumption(
% 2.40/2.83 clause( 405, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), ~( between(
% 2.40/2.83 Y, W, 'outer_pasch'( Y, X, T, U, Z ) ) ), between( U, Y, W ) ] )
% 2.40/2.83 , clause( 10048, [ ~( between( Y, W, 'outer_pasch'( Y, Z, T, X, U ) ) ),
% 2.40/2.83 between( X, Y, W ), ~( between( Z, Y, U ) ), ~( between( T, U, X ) ) ] )
% 2.40/2.83 , substitution( 0, [ :=( X, U ), :=( Y, Y ), :=( Z, X ), :=( T, T ), :=( U
% 2.40/2.83 , Z ), :=( W, W )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 3 ), ==>( 2
% 2.40/2.83 , 0 ), ==>( 3, 1 )] ) ).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 factor(
% 2.40/2.83 clause( 10053, [ ~( between( X, Y, Y ) ), ~( between( Y, Z, 'outer_pasch'(
% 2.40/2.83 Y, X, X, Y, Y ) ) ), between( Y, Y, Z ) ] )
% 2.40/2.83 , clause( 405, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), ~(
% 2.40/2.83 between( Y, W, 'outer_pasch'( Y, X, T, U, Z ) ) ), between( U, Y, W ) ]
% 2.40/2.83 )
% 2.40/2.83 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, X ),
% 2.40/2.83 :=( U, Y ), :=( W, Z )] )).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 paramod(
% 2.40/2.83 clause( 10054, [ ~( between( X, Y, Z ) ), ~( between( Z, X, X ) ), ~(
% 2.40/2.83 between( Z, X, X ) ), ~( between( Z, X, X ) ), between( X, X, Y ) ] )
% 2.40/2.83 , clause( 326, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), =(
% 2.40/2.83 'outer_pasch'( Y, X, X, T, Z ), X ) ] )
% 2.40/2.83 , 2, clause( 10053, [ ~( between( X, Y, Y ) ), ~( between( Y, Z,
% 2.40/2.83 'outer_pasch'( Y, X, X, Y, Y ) ) ), between( Y, Y, Z ) ] )
% 2.40/2.83 , 1, 4, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, X ), :=( T, X )] )
% 2.40/2.83 , substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 factor(
% 2.40/2.83 clause( 10056, [ ~( between( X, Y, Z ) ), ~( between( Z, X, X ) ), ~(
% 2.40/2.83 between( Z, X, X ) ), between( X, X, Y ) ] )
% 2.40/2.83 , clause( 10054, [ ~( between( X, Y, Z ) ), ~( between( Z, X, X ) ), ~(
% 2.40/2.83 between( Z, X, X ) ), ~( between( Z, X, X ) ), between( X, X, Y ) ] )
% 2.40/2.83 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 factor(
% 2.40/2.83 clause( 10058, [ ~( between( X, Y, Z ) ), ~( between( Z, X, X ) ), between(
% 2.40/2.83 X, X, Y ) ] )
% 2.40/2.83 , clause( 10056, [ ~( between( X, Y, Z ) ), ~( between( Z, X, X ) ), ~(
% 2.40/2.83 between( Z, X, X ) ), between( X, X, Y ) ] )
% 2.40/2.83 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 subsumption(
% 2.40/2.83 clause( 420, [ ~( between( X, Y, Y ) ), between( Y, Y, Z ), ~( between( Y,
% 2.40/2.83 Z, X ) ) ] )
% 2.40/2.83 , clause( 10058, [ ~( between( X, Y, Z ) ), ~( between( Z, X, X ) ),
% 2.40/2.83 between( X, X, Y ) ] )
% 2.40/2.83 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 2.40/2.83 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 eqswap(
% 2.40/2.83 clause( 10060, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 2.40/2.83 , clause( 4, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 2.40/2.83 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 resolution(
% 2.40/2.83 clause( 10061, [ =( extension( X, Y, Z, Z ), Y ) ] )
% 2.40/2.83 , clause( 10060, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 2.40/2.83 , 1, clause( 13, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 2.40/2.83 , 0, substitution( 0, [ :=( X, Y ), :=( Y, extension( X, Y, Z, Z ) ), :=( Z
% 2.40/2.83 , Z )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, Z
% 2.40/2.83 )] )).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 subsumption(
% 2.40/2.83 clause( 962, [ =( extension( Y, X, Z, Z ), X ) ] )
% 2.40/2.83 , clause( 10061, [ =( extension( X, Y, Z, Z ), Y ) ] )
% 2.40/2.83 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 2.40/2.83 permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 paramod(
% 2.40/2.83 clause( 10064, [ between( X, Y, Y ) ] )
% 2.40/2.83 , clause( 962, [ =( extension( Y, X, Z, Z ), X ) ] )
% 2.40/2.83 , 0, clause( 12, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 2.40/2.83 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 2.40/2.83 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] )).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 subsumption(
% 2.40/2.83 clause( 978, [ between( X, Y, Y ) ] )
% 2.40/2.83 , clause( 10064, [ between( X, Y, Y ) ] )
% 2.40/2.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.40/2.83 )] ) ).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 resolution(
% 2.40/2.83 clause( 10067, [ between( Y, Y, Z ), ~( between( Y, Z, X ) ) ] )
% 2.40/2.83 , clause( 420, [ ~( between( X, Y, Y ) ), between( Y, Y, Z ), ~( between( Y
% 2.40/2.83 , Z, X ) ) ] )
% 2.40/2.83 , 0, clause( 978, [ between( X, Y, Y ) ] )
% 2.40/2.83 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.40/2.83 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 subsumption(
% 2.40/2.83 clause( 9774, [ between( Y, Y, Z ), ~( between( Y, Z, X ) ) ] )
% 2.40/2.83 , clause( 10067, [ between( Y, Y, Z ), ~( between( Y, Z, X ) ) ] )
% 2.40/2.83 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.40/2.83 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 resolution(
% 2.40/2.83 clause( 10068, [ ~( between( a, b, X ) ), ~( between( a, X, Y ) ) ] )
% 2.40/2.83 , clause( 126, [ ~( between( a, a, X ) ), ~( between( a, b, X ) ) ] )
% 2.40/2.83 , 0, clause( 9774, [ between( Y, Y, Z ), ~( between( Y, Z, X ) ) ] )
% 2.40/2.83 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, Y ), :=( Y
% 2.40/2.83 , a ), :=( Z, X )] )).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 subsumption(
% 2.40/2.83 clause( 9814, [ ~( between( a, X, Y ) ), ~( between( a, b, X ) ) ] )
% 2.40/2.83 , clause( 10068, [ ~( between( a, b, X ) ), ~( between( a, X, Y ) ) ] )
% 2.40/2.83 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 2.40/2.83 ), ==>( 1, 0 )] ) ).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 factor(
% 2.40/2.83 clause( 10070, [ ~( between( a, b, b ) ) ] )
% 2.40/2.83 , clause( 9814, [ ~( between( a, X, Y ) ), ~( between( a, b, X ) ) ] )
% 2.40/2.83 , 0, 1, substitution( 0, [ :=( X, b ), :=( Y, b )] )).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 resolution(
% 2.40/2.83 clause( 10071, [] )
% 2.40/2.83 , clause( 10070, [ ~( between( a, b, b ) ) ] )
% 2.40/2.83 , 0, clause( 978, [ between( X, Y, Y ) ] )
% 2.40/2.83 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 2.40/2.83 ).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 subsumption(
% 2.40/2.83 clause( 9816, [] )
% 2.40/2.83 , clause( 10071, [] )
% 2.40/2.83 , substitution( 0, [] ), permutation( 0, [] ) ).
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 end.
% 2.40/2.83
% 2.40/2.83 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.40/2.83
% 2.40/2.83 Memory use:
% 2.40/2.83
% 2.40/2.83 space for terms: 174597
% 2.40/2.83 space for clauses: 363946
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 clauses generated: 221254
% 2.40/2.83 clauses kept: 9817
% 2.40/2.83 clauses selected: 871
% 2.40/2.83 clauses deleted: 115
% 2.40/2.83 clauses inuse deleted: 16
% 2.40/2.83
% 2.40/2.83 subsentry: 703022
% 2.40/2.83 literals s-matched: 213466
% 2.40/2.83 literals matched: 143587
% 2.40/2.83 full subsumption: 49063
% 2.40/2.83
% 2.40/2.83 checksum: -1449670462
% 2.40/2.83
% 2.40/2.83
% 2.40/2.83 Bliksem ended
%------------------------------------------------------------------------------