TSTP Solution File: GEO011-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO011-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 02:50:48 EDT 2022
% Result : Unsatisfiable 4.16s 4.57s
% Output : Refutation 4.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO011-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n013.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 01:33:14 EDT 2022
% 0.13/0.35 % CPUTime :
% 4.16/4.57 *** allocated 10000 integers for termspace/termends
% 4.16/4.57 *** allocated 10000 integers for clauses
% 4.16/4.57 *** allocated 10000 integers for justifications
% 4.16/4.57 Bliksem 1.12
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 Automatic Strategy Selection
% 4.16/4.57
% 4.16/4.57 Clauses:
% 4.16/4.57 [
% 4.16/4.57 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 4.16/4.57 [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X, Y, T ) ]
% 4.16/4.57 ,
% 4.16/4.57 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between(
% 4.16/4.57 X, Z, T ), between( X, T, Z ) ],
% 4.16/4.57 [ equidistant( X, Y, Y, X ) ],
% 4.16/4.57 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 4.16/4.57 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 4.16/4.57 equidistant( Z, T, U, W ) ],
% 4.16/4.57 [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( X,
% 4.16/4.57 'outer_pasch'( Y, X, T, U, Z ), T ) ],
% 4.16/4.57 [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( U, Y,
% 4.16/4.57 'outer_pasch'( Y, X, T, U, Z ) ) ],
% 4.16/4.57 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 4.16/4.57 X, U, euclid1( Z, X, T, U, Y ) ) ],
% 4.16/4.57 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 4.16/4.57 X, T, euclid2( Z, X, T, U, Y ) ) ],
% 4.16/4.57 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 4.16/4.57 euclid1( Z, X, T, U, Y ), Z, euclid2( Z, X, T, U, Y ) ) ],
% 4.16/4.57 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 4.16/4.57 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 4.16/4.57 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 4.16/4.57 , V0, W, V1 ) ],
% 4.16/4.57 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 4.16/4.57 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 4.16/4.57 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 4.16/4.57 'lower_dimension_point_3' ) ) ],
% 4.16/4.57 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 4.16/4.57 'lower_dimension_point_1' ) ) ],
% 4.16/4.57 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 4.16/4.57 'lower_dimension_point_2' ) ) ],
% 4.16/4.57 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 4.16/4.57 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 4.16/4.57 between( U, X, T ), =( Y, Z ) ],
% 4.16/4.57 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 4.16/4.57 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 4.16/4.57 continuous( Y, W, T, Z, U, X ) ) ],
% 4.16/4.57 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 4.16/4.57 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( Y
% 4.16/4.57 , W, T, Z, U, X ), U ) ],
% 4.16/4.57 [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, X, Z ),
% 4.16/4.57 between( X, Z, Y ) ],
% 4.16/4.57 [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ],
% 4.16/4.57 [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ],
% 4.16/4.57 [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ],
% 4.16/4.57 [ colinear( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 4.16/4.57 'lower_dimension_point_3' ) ]
% 4.16/4.57 ] .
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 percentage equality = 0.106667, percentage horn = 0.720000
% 4.16/4.57 This is a problem with some equality
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 Options Used:
% 4.16/4.57
% 4.16/4.57 useres = 1
% 4.16/4.57 useparamod = 1
% 4.16/4.57 useeqrefl = 1
% 4.16/4.57 useeqfact = 1
% 4.16/4.57 usefactor = 1
% 4.16/4.57 usesimpsplitting = 0
% 4.16/4.57 usesimpdemod = 5
% 4.16/4.57 usesimpres = 3
% 4.16/4.57
% 4.16/4.57 resimpinuse = 1000
% 4.16/4.57 resimpclauses = 20000
% 4.16/4.57 substype = eqrewr
% 4.16/4.57 backwardsubs = 1
% 4.16/4.57 selectoldest = 5
% 4.16/4.57
% 4.16/4.57 litorderings [0] = split
% 4.16/4.57 litorderings [1] = extend the termordering, first sorting on arguments
% 4.16/4.57
% 4.16/4.57 termordering = kbo
% 4.16/4.57
% 4.16/4.57 litapriori = 0
% 4.16/4.57 termapriori = 1
% 4.16/4.57 litaposteriori = 0
% 4.16/4.57 termaposteriori = 0
% 4.16/4.57 demodaposteriori = 0
% 4.16/4.57 ordereqreflfact = 0
% 4.16/4.57
% 4.16/4.57 litselect = negord
% 4.16/4.57
% 4.16/4.57 maxweight = 15
% 4.16/4.57 maxdepth = 30000
% 4.16/4.57 maxlength = 115
% 4.16/4.57 maxnrvars = 195
% 4.16/4.57 excuselevel = 1
% 4.16/4.57 increasemaxweight = 1
% 4.16/4.57
% 4.16/4.57 maxselected = 10000000
% 4.16/4.57 maxnrclauses = 10000000
% 4.16/4.57
% 4.16/4.57 showgenerated = 0
% 4.16/4.57 showkept = 0
% 4.16/4.57 showselected = 0
% 4.16/4.57 showdeleted = 0
% 4.16/4.57 showresimp = 1
% 4.16/4.57 showstatus = 2000
% 4.16/4.57
% 4.16/4.57 prologoutput = 1
% 4.16/4.57 nrgoals = 5000000
% 4.16/4.57 totalproof = 1
% 4.16/4.57
% 4.16/4.57 Symbols occurring in the translation:
% 4.16/4.57
% 4.16/4.57 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.16/4.57 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 4.16/4.57 ! [4, 1] (w:0, o:22, a:1, s:1, b:0),
% 4.16/4.57 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.16/4.57 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.16/4.57 between [41, 3] (w:1, o:52, a:1, s:1, b:0),
% 4.16/4.57 equidistant [44, 4] (w:1, o:54, a:1, s:1, b:0),
% 4.16/4.57 'outer_pasch' [47, 5] (w:1, o:56, a:1, s:1, b:0),
% 4.16/4.57 euclid1 [48, 5] (w:1, o:57, a:1, s:1, b:0),
% 4.16/4.57 euclid2 [49, 5] (w:1, o:58, a:1, s:1, b:0),
% 4.16/4.57 extension [54, 4] (w:1, o:55, a:1, s:1, b:0),
% 4.16/4.57 'lower_dimension_point_1' [55, 0] (w:1, o:19, a:1, s:1, b:0),
% 4.16/4.57 'lower_dimension_point_2' [56, 0] (w:1, o:20, a:1, s:1, b:0),
% 4.16/4.57 'lower_dimension_point_3' [57, 0] (w:1, o:21, a:1, s:1, b:0),
% 4.16/4.57 continuous [58, 6] (w:1, o:59, a:1, s:1, b:0),
% 4.16/4.57 colinear [59, 3] (w:1, o:53, a:1, s:1, b:0).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 Starting Search:
% 4.16/4.57
% 4.16/4.57 Resimplifying inuse:
% 4.16/4.57 Done
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 Intermediate Status:
% 4.16/4.57 Generated: 15913
% 4.16/4.57 Kept: 2004
% 4.16/4.57 Inuse: 163
% 4.16/4.57 Deleted: 64
% 4.16/4.57 Deletedinuse: 13
% 4.16/4.57
% 4.16/4.57 Resimplifying inuse:
% 4.16/4.57 Done
% 4.16/4.57
% 4.16/4.57 Resimplifying inuse:
% 4.16/4.57 Done
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 Intermediate Status:
% 4.16/4.57 Generated: 32845
% 4.16/4.57 Kept: 4010
% 4.16/4.57 Inuse: 308
% 4.16/4.57 Deleted: 78
% 4.16/4.57 Deletedinuse: 14
% 4.16/4.57
% 4.16/4.57 Resimplifying inuse:
% 4.16/4.57 Done
% 4.16/4.57
% 4.16/4.57 Resimplifying inuse:
% 4.16/4.57 Done
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 Intermediate Status:
% 4.16/4.57 Generated: 101874
% 4.16/4.57 Kept: 6022
% 4.16/4.57 Inuse: 520
% 4.16/4.57 Deleted: 78
% 4.16/4.57 Deletedinuse: 14
% 4.16/4.57
% 4.16/4.57 Resimplifying inuse:
% 4.16/4.57 Done
% 4.16/4.57
% 4.16/4.57 Resimplifying inuse:
% 4.16/4.57 Done
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 Intermediate Status:
% 4.16/4.57 Generated: 139405
% 4.16/4.57 Kept: 8027
% 4.16/4.57 Inuse: 687
% 4.16/4.57 Deleted: 104
% 4.16/4.57 Deletedinuse: 14
% 4.16/4.57
% 4.16/4.57 Resimplifying inuse:
% 4.16/4.57 Done
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 Bliksems!, er is een bewijs:
% 4.16/4.57 % SZS status Unsatisfiable
% 4.16/4.57 % SZS output start Refutation
% 4.16/4.57
% 4.16/4.57 clause( 0, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 4.16/4.57 .
% 4.16/4.57 clause( 4, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 4.16/4.57 .
% 4.16/4.57 clause( 6, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( X,
% 4.16/4.57 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 4.16/4.57 .
% 4.16/4.57 clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( U,
% 4.16/4.57 Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 4.16/4.57 .
% 4.16/4.57 clause( 12, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 4.16/4.57 .
% 4.16/4.57 clause( 13, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 4.16/4.57 .
% 4.16/4.57 clause( 14, [ ~( between( 'lower_dimension_point_1',
% 4.16/4.57 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 4.16/4.57 .
% 4.16/4.57 clause( 15, [ ~( between( 'lower_dimension_point_2',
% 4.16/4.57 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 4.16/4.57 .
% 4.16/4.57 clause( 16, [ ~( between( 'lower_dimension_point_3',
% 4.16/4.57 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 4.16/4.57 .
% 4.16/4.57 clause( 20, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, X,
% 4.16/4.57 Z ), between( X, Z, Y ) ] )
% 4.16/4.57 .
% 4.16/4.57 clause( 24, [ colinear( 'lower_dimension_point_1',
% 4.16/4.57 'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 4.16/4.57 .
% 4.16/4.57 clause( 318, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), =(
% 4.16/4.57 'outer_pasch'( Y, X, X, T, Z ), X ) ] )
% 4.16/4.57 .
% 4.16/4.57 clause( 928, [ =( extension( Y, X, Z, Z ), X ) ] )
% 4.16/4.57 .
% 4.16/4.57 clause( 944, [ between( X, Y, Y ) ] )
% 4.16/4.57 .
% 4.16/4.57 clause( 1296, [ between( 'lower_dimension_point_2',
% 4.16/4.57 'lower_dimension_point_1', 'lower_dimension_point_3' ), between(
% 4.16/4.57 'lower_dimension_point_1', 'lower_dimension_point_3',
% 4.16/4.57 'lower_dimension_point_2' ) ] )
% 4.16/4.57 .
% 4.16/4.57 clause( 8721, [ ~( between( Y, X, T ) ), ~( between( Y, T, Z ) ), between(
% 4.16/4.57 Z, X, Y ) ] )
% 4.16/4.57 .
% 4.16/4.57 clause( 8801, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 4.16/4.57 .
% 4.16/4.57 clause( 9327, [ between( 'lower_dimension_point_1',
% 4.16/4.57 'lower_dimension_point_3', 'lower_dimension_point_2' ) ] )
% 4.16/4.57 .
% 4.16/4.57 clause( 9369, [] )
% 4.16/4.57 .
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 % SZS output end Refutation
% 4.16/4.57 found a proof!
% 4.16/4.57
% 4.16/4.57 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.16/4.57
% 4.16/4.57 initialclauses(
% 4.16/4.57 [ clause( 9371, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 4.16/4.57 , clause( 9372, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between(
% 4.16/4.57 X, Y, T ) ] )
% 4.16/4.57 , clause( 9373, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y
% 4.16/4.57 ), between( X, Z, T ), between( X, T, Z ) ] )
% 4.16/4.57 , clause( 9374, [ equidistant( X, Y, Y, X ) ] )
% 4.16/4.57 , clause( 9375, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 4.16/4.57 , clause( 9376, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 4.16/4.57 W ) ), equidistant( Z, T, U, W ) ] )
% 4.16/4.57 , clause( 9377, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between(
% 4.16/4.57 X, 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 4.16/4.57 , clause( 9378, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between(
% 4.16/4.57 U, Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 4.16/4.57 , clause( 9379, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 4.16/4.57 ), between( X, U, euclid1( Z, X, T, U, Y ) ) ] )
% 4.16/4.57 , clause( 9380, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 4.16/4.57 ), between( X, T, euclid2( Z, X, T, U, Y ) ) ] )
% 4.16/4.57 , clause( 9381, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 4.16/4.57 ), between( euclid1( Z, X, T, U, Y ), Z, euclid2( Z, X, T, U, Y ) ) ] )
% 4.16/4.57 , clause( 9382, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T,
% 4.16/4.57 W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) )
% 4.16/4.57 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 4.16/4.57 equidistant( U, V0, W, V1 ) ] )
% 4.16/4.57 , clause( 9383, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 4.16/4.57 , clause( 9384, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 4.16/4.57 , clause( 9385, [ ~( between( 'lower_dimension_point_1',
% 4.16/4.57 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 4.16/4.57 , clause( 9386, [ ~( between( 'lower_dimension_point_2',
% 4.16/4.57 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 4.16/4.57 , clause( 9387, [ ~( between( 'lower_dimension_point_3',
% 4.16/4.57 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 4.16/4.57 , clause( 9388, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T,
% 4.16/4.57 Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U
% 4.16/4.57 , X ), between( U, X, T ), =( Y, Z ) ] )
% 4.16/4.57 , clause( 9389, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 4.16/4.57 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X,
% 4.16/4.57 W, X, continuous( Y, W, T, Z, U, X ) ) ] )
% 4.16/4.57 , clause( 9390, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 4.16/4.57 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 4.16/4.57 continuous( Y, W, T, Z, U, X ), U ) ] )
% 4.16/4.57 , clause( 9391, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 4.16/4.57 , X, Z ), between( X, Z, Y ) ] )
% 4.16/4.57 , clause( 9392, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 4.16/4.57 , clause( 9393, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 4.16/4.57 , clause( 9394, [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 4.16/4.57 , clause( 9395, [ colinear( 'lower_dimension_point_1',
% 4.16/4.57 'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 4.16/4.57 ] ).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 subsumption(
% 4.16/4.57 clause( 0, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 4.16/4.57 , clause( 9371, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 4.16/4.57 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.16/4.57 ), ==>( 1, 1 )] ) ).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 subsumption(
% 4.16/4.57 clause( 4, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 4.16/4.57 , clause( 9375, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 4.16/4.57 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.16/4.57 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 subsumption(
% 4.16/4.57 clause( 6, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( X,
% 4.16/4.57 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 4.16/4.57 , clause( 9377, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between(
% 4.16/4.57 X, 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 4.16/4.57 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 4.16/4.57 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 4.16/4.57 ).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 subsumption(
% 4.16/4.57 clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( U,
% 4.16/4.57 Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 4.16/4.57 , clause( 9378, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between(
% 4.16/4.57 U, Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 4.16/4.57 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 4.16/4.57 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 4.16/4.57 ).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 subsumption(
% 4.16/4.57 clause( 12, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 4.16/4.57 , clause( 9383, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 4.16/4.57 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.16/4.57 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 subsumption(
% 4.16/4.57 clause( 13, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 4.16/4.57 , clause( 9384, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 4.16/4.57 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.16/4.57 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 subsumption(
% 4.16/4.57 clause( 14, [ ~( between( 'lower_dimension_point_1',
% 4.16/4.57 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 4.16/4.57 , clause( 9385, [ ~( between( 'lower_dimension_point_1',
% 4.16/4.57 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 4.16/4.57 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 subsumption(
% 4.16/4.57 clause( 15, [ ~( between( 'lower_dimension_point_2',
% 4.16/4.57 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 4.16/4.57 , clause( 9386, [ ~( between( 'lower_dimension_point_2',
% 4.16/4.57 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 4.16/4.57 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 subsumption(
% 4.16/4.57 clause( 16, [ ~( between( 'lower_dimension_point_3',
% 4.16/4.57 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 4.16/4.57 , clause( 9387, [ ~( between( 'lower_dimension_point_3',
% 4.16/4.57 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 4.16/4.57 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 subsumption(
% 4.16/4.57 clause( 20, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, X,
% 4.16/4.57 Z ), between( X, Z, Y ) ] )
% 4.16/4.57 , clause( 9391, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 4.16/4.57 , X, Z ), between( X, Z, Y ) ] )
% 4.16/4.57 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.16/4.57 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 4.16/4.57 ).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 subsumption(
% 4.16/4.57 clause( 24, [ colinear( 'lower_dimension_point_1',
% 4.16/4.57 'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 4.16/4.57 , clause( 9395, [ colinear( 'lower_dimension_point_1',
% 4.16/4.57 'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 4.16/4.57 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 eqswap(
% 4.16/4.57 clause( 9805, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 4.16/4.57 , clause( 0, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 4.16/4.57 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 resolution(
% 4.16/4.57 clause( 9806, [ =( 'outer_pasch'( X, Y, Y, Z, T ), Y ), ~( between( Y, X, T
% 4.16/4.57 ) ), ~( between( Y, T, Z ) ) ] )
% 4.16/4.57 , clause( 9805, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 4.16/4.57 , 1, clause( 6, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between(
% 4.16/4.57 X, 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 4.16/4.57 , 2, substitution( 0, [ :=( X, Y ), :=( Y, 'outer_pasch'( X, Y, Y, Z, T ) )] )
% 4.16/4.57 , substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, T ), :=( T, Y ), :=(
% 4.16/4.57 U, Z )] )).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 subsumption(
% 4.16/4.57 clause( 318, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), =(
% 4.16/4.57 'outer_pasch'( Y, X, X, T, Z ), X ) ] )
% 4.16/4.57 , clause( 9806, [ =( 'outer_pasch'( X, Y, Y, Z, T ), Y ), ~( between( Y, X
% 4.16/4.57 , T ) ), ~( between( Y, T, Z ) ) ] )
% 4.16/4.57 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, T ), :=( T, Z )] ),
% 4.16/4.57 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 eqswap(
% 4.16/4.57 clause( 9810, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 4.16/4.57 , clause( 4, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 4.16/4.57 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 resolution(
% 4.16/4.57 clause( 9811, [ =( extension( X, Y, Z, Z ), Y ) ] )
% 4.16/4.57 , clause( 9810, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 4.16/4.57 , 1, clause( 13, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 4.16/4.57 , 0, substitution( 0, [ :=( X, Y ), :=( Y, extension( X, Y, Z, Z ) ), :=( Z
% 4.16/4.57 , Z )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, Z
% 4.16/4.57 )] )).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 subsumption(
% 4.16/4.57 clause( 928, [ =( extension( Y, X, Z, Z ), X ) ] )
% 4.16/4.57 , clause( 9811, [ =( extension( X, Y, Z, Z ), Y ) ] )
% 4.16/4.57 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 4.16/4.57 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 paramod(
% 4.16/4.57 clause( 9814, [ between( X, Y, Y ) ] )
% 4.16/4.57 , clause( 928, [ =( extension( Y, X, Z, Z ), X ) ] )
% 4.16/4.57 , 0, clause( 12, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 4.16/4.57 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 4.16/4.57 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] )).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 subsumption(
% 4.16/4.57 clause( 944, [ between( X, Y, Y ) ] )
% 4.16/4.57 , clause( 9814, [ between( X, Y, Y ) ] )
% 4.16/4.57 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.16/4.57 )] ) ).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 resolution(
% 4.16/4.57 clause( 9815, [ ~( colinear( 'lower_dimension_point_1',
% 4.16/4.57 'lower_dimension_point_2', 'lower_dimension_point_3' ) ), between(
% 4.16/4.57 'lower_dimension_point_2', 'lower_dimension_point_1',
% 4.16/4.57 'lower_dimension_point_3' ), between( 'lower_dimension_point_1',
% 4.16/4.57 'lower_dimension_point_3', 'lower_dimension_point_2' ) ] )
% 4.16/4.57 , clause( 14, [ ~( between( 'lower_dimension_point_1',
% 4.16/4.57 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 4.16/4.57 , 0, clause( 20, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 4.16/4.57 , X, Z ), between( X, Z, Y ) ] )
% 4.16/4.57 , 1, substitution( 0, [] ), substitution( 1, [ :=( X,
% 4.16/4.57 'lower_dimension_point_1' ), :=( Y, 'lower_dimension_point_2' ), :=( Z,
% 4.16/4.57 'lower_dimension_point_3' )] )).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 resolution(
% 4.16/4.57 clause( 9818, [ between( 'lower_dimension_point_2',
% 4.16/4.57 'lower_dimension_point_1', 'lower_dimension_point_3' ), between(
% 4.16/4.57 'lower_dimension_point_1', 'lower_dimension_point_3',
% 4.16/4.57 'lower_dimension_point_2' ) ] )
% 4.16/4.57 , clause( 9815, [ ~( colinear( 'lower_dimension_point_1',
% 4.16/4.57 'lower_dimension_point_2', 'lower_dimension_point_3' ) ), between(
% 4.16/4.57 'lower_dimension_point_2', 'lower_dimension_point_1',
% 4.16/4.57 'lower_dimension_point_3' ), between( 'lower_dimension_point_1',
% 4.16/4.57 'lower_dimension_point_3', 'lower_dimension_point_2' ) ] )
% 4.16/4.57 , 0, clause( 24, [ colinear( 'lower_dimension_point_1',
% 4.16/4.57 'lower_dimension_point_2', 'lower_dimension_point_3' ) ] )
% 4.16/4.57 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 subsumption(
% 4.16/4.57 clause( 1296, [ between( 'lower_dimension_point_2',
% 4.16/4.57 'lower_dimension_point_1', 'lower_dimension_point_3' ), between(
% 4.16/4.57 'lower_dimension_point_1', 'lower_dimension_point_3',
% 4.16/4.57 'lower_dimension_point_2' ) ] )
% 4.16/4.57 , clause( 9818, [ between( 'lower_dimension_point_2',
% 4.16/4.57 'lower_dimension_point_1', 'lower_dimension_point_3' ), between(
% 4.16/4.57 'lower_dimension_point_1', 'lower_dimension_point_3',
% 4.16/4.57 'lower_dimension_point_2' ) ] )
% 4.16/4.57 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 4.16/4.57 ).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 paramod(
% 4.16/4.57 clause( 9820, [ between( X, Y, Z ), ~( between( Z, Y, T ) ), ~( between( Z
% 4.16/4.57 , T, X ) ), ~( between( Z, Y, T ) ), ~( between( Z, T, X ) ) ] )
% 4.16/4.57 , clause( 318, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), =(
% 4.16/4.57 'outer_pasch'( Y, X, X, T, Z ), X ) ] )
% 4.16/4.57 , 2, clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between(
% 4.16/4.57 U, Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 4.16/4.57 , 2, 3, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, X )] )
% 4.16/4.57 , substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, Z ), :=(
% 4.16/4.57 U, X )] )).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 factor(
% 4.16/4.57 clause( 9822, [ between( X, Y, Z ), ~( between( Z, Y, T ) ), ~( between( Z
% 4.16/4.57 , T, X ) ), ~( between( Z, T, X ) ) ] )
% 4.16/4.57 , clause( 9820, [ between( X, Y, Z ), ~( between( Z, Y, T ) ), ~( between(
% 4.16/4.57 Z, T, X ) ), ~( between( Z, Y, T ) ), ~( between( Z, T, X ) ) ] )
% 4.16/4.57 , 1, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 4.16/4.57 ).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 factor(
% 4.16/4.57 clause( 9824, [ between( X, Y, Z ), ~( between( Z, Y, T ) ), ~( between( Z
% 4.16/4.57 , T, X ) ) ] )
% 4.16/4.57 , clause( 9822, [ between( X, Y, Z ), ~( between( Z, Y, T ) ), ~( between(
% 4.16/4.57 Z, T, X ) ), ~( between( Z, T, X ) ) ] )
% 4.16/4.57 , 2, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 4.16/4.57 ).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 subsumption(
% 4.16/4.57 clause( 8721, [ ~( between( Y, X, T ) ), ~( between( Y, T, Z ) ), between(
% 4.16/4.57 Z, X, Y ) ] )
% 4.16/4.57 , clause( 9824, [ between( X, Y, Z ), ~( between( Z, Y, T ) ), ~( between(
% 4.16/4.57 Z, T, X ) ) ] )
% 4.16/4.57 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] ),
% 4.16/4.57 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 resolution(
% 4.16/4.57 clause( 9826, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 4.16/4.57 , clause( 8721, [ ~( between( Y, X, T ) ), ~( between( Y, T, Z ) ), between(
% 4.16/4.57 Z, X, Y ) ] )
% 4.16/4.57 , 0, clause( 944, [ between( X, Y, Y ) ] )
% 4.16/4.57 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, Y )] ),
% 4.16/4.57 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 subsumption(
% 4.16/4.57 clause( 8801, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 4.16/4.57 , clause( 9826, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 4.16/4.57 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.16/4.57 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 resolution(
% 4.16/4.57 clause( 9827, [ between( 'lower_dimension_point_3',
% 4.16/4.57 'lower_dimension_point_1', 'lower_dimension_point_2' ), between(
% 4.16/4.57 'lower_dimension_point_1', 'lower_dimension_point_3',
% 4.16/4.57 'lower_dimension_point_2' ) ] )
% 4.16/4.57 , clause( 8801, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 4.16/4.57 , 0, clause( 1296, [ between( 'lower_dimension_point_2',
% 4.16/4.57 'lower_dimension_point_1', 'lower_dimension_point_3' ), between(
% 4.16/4.57 'lower_dimension_point_1', 'lower_dimension_point_3',
% 4.16/4.57 'lower_dimension_point_2' ) ] )
% 4.16/4.57 , 0, substitution( 0, [ :=( X, 'lower_dimension_point_2' ), :=( Y,
% 4.16/4.57 'lower_dimension_point_1' ), :=( Z, 'lower_dimension_point_3' )] ),
% 4.16/4.57 substitution( 1, [] )).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 resolution(
% 4.16/4.57 clause( 9829, [ between( 'lower_dimension_point_1',
% 4.16/4.57 'lower_dimension_point_3', 'lower_dimension_point_2' ) ] )
% 4.16/4.57 , clause( 16, [ ~( between( 'lower_dimension_point_3',
% 4.16/4.57 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 4.16/4.57 , 0, clause( 9827, [ between( 'lower_dimension_point_3',
% 4.16/4.57 'lower_dimension_point_1', 'lower_dimension_point_2' ), between(
% 4.16/4.57 'lower_dimension_point_1', 'lower_dimension_point_3',
% 4.16/4.57 'lower_dimension_point_2' ) ] )
% 4.16/4.57 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 subsumption(
% 4.16/4.57 clause( 9327, [ between( 'lower_dimension_point_1',
% 4.16/4.57 'lower_dimension_point_3', 'lower_dimension_point_2' ) ] )
% 4.16/4.57 , clause( 9829, [ between( 'lower_dimension_point_1',
% 4.16/4.57 'lower_dimension_point_3', 'lower_dimension_point_2' ) ] )
% 4.16/4.57 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 resolution(
% 4.16/4.57 clause( 9830, [ ~( between( 'lower_dimension_point_1',
% 4.16/4.57 'lower_dimension_point_3', 'lower_dimension_point_2' ) ) ] )
% 4.16/4.57 , clause( 15, [ ~( between( 'lower_dimension_point_2',
% 4.16/4.57 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 4.16/4.57 , 0, clause( 8801, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 4.16/4.57 , 1, substitution( 0, [] ), substitution( 1, [ :=( X,
% 4.16/4.57 'lower_dimension_point_1' ), :=( Y, 'lower_dimension_point_3' ), :=( Z,
% 4.16/4.57 'lower_dimension_point_2' )] )).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 resolution(
% 4.16/4.57 clause( 9831, [] )
% 4.16/4.57 , clause( 9830, [ ~( between( 'lower_dimension_point_1',
% 4.16/4.57 'lower_dimension_point_3', 'lower_dimension_point_2' ) ) ] )
% 4.16/4.57 , 0, clause( 9327, [ between( 'lower_dimension_point_1',
% 4.16/4.57 'lower_dimension_point_3', 'lower_dimension_point_2' ) ] )
% 4.16/4.57 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 subsumption(
% 4.16/4.57 clause( 9369, [] )
% 4.16/4.57 , clause( 9831, [] )
% 4.16/4.57 , substitution( 0, [] ), permutation( 0, [] ) ).
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 end.
% 4.16/4.57
% 4.16/4.57 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.16/4.57
% 4.16/4.57 Memory use:
% 4.16/4.57
% 4.16/4.57 space for terms: 164921
% 4.16/4.57 space for clauses: 356574
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 clauses generated: 422977
% 4.16/4.57 clauses kept: 9370
% 4.16/4.57 clauses selected: 1167
% 4.16/4.57 clauses deleted: 125
% 4.16/4.57 clauses inuse deleted: 14
% 4.16/4.57
% 4.16/4.57 subsentry: 701169
% 4.16/4.57 literals s-matched: 287304
% 4.16/4.57 literals matched: 220124
% 4.16/4.57 full subsumption: 98173
% 4.16/4.57
% 4.16/4.57 checksum: 273440221
% 4.16/4.57
% 4.16/4.57
% 4.16/4.57 Bliksem ended
%------------------------------------------------------------------------------