TSTP Solution File: GEO010-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO010-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 02:50:47 EDT 2022
% Result : Unsatisfiable 17.16s 17.53s
% Output : Refutation 17.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO010-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jun 18 05:38:57 EDT 2022
% 0.12/0.34 % CPUTime :
% 17.16/17.53 *** allocated 10000 integers for termspace/termends
% 17.16/17.53 *** allocated 10000 integers for clauses
% 17.16/17.53 *** allocated 10000 integers for justifications
% 17.16/17.53 Bliksem 1.12
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 Automatic Strategy Selection
% 17.16/17.53
% 17.16/17.53 Clauses:
% 17.16/17.53 [
% 17.16/17.53 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 17.16/17.53 [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X, Y, T ) ]
% 17.16/17.53 ,
% 17.16/17.53 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between(
% 17.16/17.53 X, Z, T ), between( X, T, Z ) ],
% 17.16/17.53 [ equidistant( X, Y, Y, X ) ],
% 17.16/17.53 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 17.16/17.53 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 17.16/17.53 equidistant( Z, T, U, W ) ],
% 17.16/17.53 [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( X,
% 17.16/17.53 'outer_pasch'( Y, X, T, U, Z ), T ) ],
% 17.16/17.53 [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( U, Y,
% 17.16/17.53 'outer_pasch'( Y, X, T, U, Z ) ) ],
% 17.16/17.53 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 17.16/17.53 X, U, euclid1( Z, X, T, U, Y ) ) ],
% 17.16/17.53 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 17.16/17.53 X, T, euclid2( Z, X, T, U, Y ) ) ],
% 17.16/17.53 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 17.16/17.53 euclid1( Z, X, T, U, Y ), Z, euclid2( Z, X, T, U, Y ) ) ],
% 17.16/17.53 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 17.16/17.53 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 17.16/17.53 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 17.16/17.53 , V0, W, V1 ) ],
% 17.16/17.53 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 17.16/17.53 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 17.16/17.53 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 17.16/17.53 'lower_dimension_point_3' ) ) ],
% 17.16/17.53 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 17.16/17.53 'lower_dimension_point_1' ) ) ],
% 17.16/17.53 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 17.16/17.53 'lower_dimension_point_2' ) ) ],
% 17.16/17.53 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 17.16/17.53 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 17.16/17.53 between( U, X, T ), =( Y, Z ) ],
% 17.16/17.53 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 17.16/17.53 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 17.16/17.53 continuous( Y, W, T, Z, U, X ) ) ],
% 17.16/17.53 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 17.16/17.53 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( Y
% 17.16/17.53 , W, T, Z, U, X ), U ) ],
% 17.16/17.53 [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, X, Z ),
% 17.16/17.53 between( X, Z, Y ) ],
% 17.16/17.53 [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ],
% 17.16/17.53 [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ],
% 17.16/17.53 [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ],
% 17.16/17.53 [ colinear( a, b, c ) ],
% 17.16/17.53 [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~( colinear( b, c
% 17.16/17.53 , a ) ), ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) ) ]
% 17.16/17.53 ] .
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 percentage equality = 0.100000, percentage horn = 0.730769
% 17.16/17.53 This is a problem with some equality
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 Options Used:
% 17.16/17.53
% 17.16/17.53 useres = 1
% 17.16/17.53 useparamod = 1
% 17.16/17.53 useeqrefl = 1
% 17.16/17.53 useeqfact = 1
% 17.16/17.53 usefactor = 1
% 17.16/17.53 usesimpsplitting = 0
% 17.16/17.53 usesimpdemod = 5
% 17.16/17.53 usesimpres = 3
% 17.16/17.53
% 17.16/17.53 resimpinuse = 1000
% 17.16/17.53 resimpclauses = 20000
% 17.16/17.53 substype = eqrewr
% 17.16/17.53 backwardsubs = 1
% 17.16/17.53 selectoldest = 5
% 17.16/17.53
% 17.16/17.53 litorderings [0] = split
% 17.16/17.53 litorderings [1] = extend the termordering, first sorting on arguments
% 17.16/17.53
% 17.16/17.53 termordering = kbo
% 17.16/17.53
% 17.16/17.53 litapriori = 0
% 17.16/17.53 termapriori = 1
% 17.16/17.53 litaposteriori = 0
% 17.16/17.53 termaposteriori = 0
% 17.16/17.53 demodaposteriori = 0
% 17.16/17.53 ordereqreflfact = 0
% 17.16/17.53
% 17.16/17.53 litselect = negord
% 17.16/17.53
% 17.16/17.53 maxweight = 15
% 17.16/17.53 maxdepth = 30000
% 17.16/17.53 maxlength = 115
% 17.16/17.53 maxnrvars = 195
% 17.16/17.53 excuselevel = 1
% 17.16/17.53 increasemaxweight = 1
% 17.16/17.53
% 17.16/17.53 maxselected = 10000000
% 17.16/17.53 maxnrclauses = 10000000
% 17.16/17.53
% 17.16/17.53 showgenerated = 0
% 17.16/17.53 showkept = 0
% 17.16/17.53 showselected = 0
% 17.16/17.53 showdeleted = 0
% 17.16/17.53 showresimp = 1
% 17.16/17.53 showstatus = 2000
% 17.16/17.53
% 17.16/17.53 prologoutput = 1
% 17.16/17.53 nrgoals = 5000000
% 17.16/17.53 totalproof = 1
% 17.16/17.53
% 17.16/17.53 Symbols occurring in the translation:
% 17.16/17.53
% 17.16/17.53 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 17.16/17.53 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 17.16/17.53 ! [4, 1] (w:0, o:25, a:1, s:1, b:0),
% 17.16/17.53 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 17.16/17.53 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 17.16/17.53 between [41, 3] (w:1, o:55, a:1, s:1, b:0),
% 17.16/17.53 equidistant [44, 4] (w:1, o:57, a:1, s:1, b:0),
% 17.16/17.53 'outer_pasch' [47, 5] (w:1, o:59, a:1, s:1, b:0),
% 17.16/17.53 euclid1 [48, 5] (w:1, o:60, a:1, s:1, b:0),
% 17.16/17.53 euclid2 [49, 5] (w:1, o:61, a:1, s:1, b:0),
% 17.16/17.53 extension [54, 4] (w:1, o:58, a:1, s:1, b:0),
% 17.16/17.53 'lower_dimension_point_1' [55, 0] (w:1, o:19, a:1, s:1, b:0),
% 17.16/17.53 'lower_dimension_point_2' [56, 0] (w:1, o:20, a:1, s:1, b:0),
% 17.16/17.53 'lower_dimension_point_3' [57, 0] (w:1, o:21, a:1, s:1, b:0),
% 17.16/17.53 continuous [58, 6] (w:1, o:62, a:1, s:1, b:0),
% 17.16/17.53 colinear [59, 3] (w:1, o:56, a:1, s:1, b:0),
% 17.16/17.53 a [60, 0] (w:1, o:22, a:1, s:1, b:0),
% 17.16/17.53 b [61, 0] (w:1, o:23, a:1, s:1, b:0),
% 17.16/17.53 c [62, 0] (w:1, o:24, a:1, s:1, b:0).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 Starting Search:
% 17.16/17.53
% 17.16/17.53 Resimplifying inuse:
% 17.16/17.53 Done
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 Intermediate Status:
% 17.16/17.53 Generated: 15777
% 17.16/17.53 Kept: 2003
% 17.16/17.53 Inuse: 158
% 17.16/17.53 Deleted: 60
% 17.16/17.53 Deletedinuse: 11
% 17.16/17.53
% 17.16/17.53 Resimplifying inuse:
% 17.16/17.53 Done
% 17.16/17.53
% 17.16/17.53 Resimplifying inuse:
% 17.16/17.53 Done
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 Intermediate Status:
% 17.16/17.53 Generated: 32906
% 17.16/17.53 Kept: 4011
% 17.16/17.53 Inuse: 305
% 17.16/17.53 Deleted: 76
% 17.16/17.53 Deletedinuse: 14
% 17.16/17.53
% 17.16/17.53 Resimplifying inuse:
% 17.16/17.53 Done
% 17.16/17.53
% 17.16/17.53 Resimplifying inuse:
% 17.16/17.53 Done
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 Intermediate Status:
% 17.16/17.53 Generated: 101317
% 17.16/17.53 Kept: 6012
% 17.16/17.53 Inuse: 515
% 17.16/17.53 Deleted: 76
% 17.16/17.53 Deletedinuse: 14
% 17.16/17.53
% 17.16/17.53 Resimplifying inuse:
% 17.16/17.53 Done
% 17.16/17.53
% 17.16/17.53 Resimplifying inuse:
% 17.16/17.53 Done
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 Intermediate Status:
% 17.16/17.53 Generated: 137782
% 17.16/17.53 Kept: 8022
% 17.16/17.53 Inuse: 680
% 17.16/17.53 Deleted: 102
% 17.16/17.53 Deletedinuse: 14
% 17.16/17.53
% 17.16/17.53 Resimplifying inuse:
% 17.16/17.53 Done
% 17.16/17.53
% 17.16/17.53 Resimplifying inuse:
% 17.16/17.53 Done
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 Intermediate Status:
% 17.16/17.53 Generated: 422769
% 17.16/17.53 Kept: 10066
% 17.16/17.53 Inuse: 1169
% 17.16/17.53 Deleted: 159
% 17.16/17.53 Deletedinuse: 49
% 17.16/17.53
% 17.16/17.53 Resimplifying inuse:
% 17.16/17.53 Done
% 17.16/17.53
% 17.16/17.53 Resimplifying inuse:
% 17.16/17.53 Done
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 Intermediate Status:
% 17.16/17.53 Generated: 478548
% 17.16/17.53 Kept: 12077
% 17.16/17.53 Inuse: 1284
% 17.16/17.53 Deleted: 166
% 17.16/17.53 Deletedinuse: 53
% 17.16/17.53
% 17.16/17.53 Resimplifying inuse:
% 17.16/17.53 Done
% 17.16/17.53
% 17.16/17.53 Resimplifying inuse:
% 17.16/17.53 Done
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 Intermediate Status:
% 17.16/17.53 Generated: 571304
% 17.16/17.53 Kept: 14079
% 17.16/17.53 Inuse: 1420
% 17.16/17.53 Deleted: 172
% 17.16/17.53 Deletedinuse: 53
% 17.16/17.53
% 17.16/17.53 Resimplifying inuse:
% 17.16/17.53 Done
% 17.16/17.53
% 17.16/17.53 Resimplifying inuse:
% 17.16/17.53 Done
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 Intermediate Status:
% 17.16/17.53 Generated: 741702
% 17.16/17.53 Kept: 16080
% 17.16/17.53 Inuse: 1565
% 17.16/17.53 Deleted: 178
% 17.16/17.53 Deletedinuse: 54
% 17.16/17.53
% 17.16/17.53 Resimplifying inuse:
% 17.16/17.53 Done
% 17.16/17.53
% 17.16/17.53 Resimplifying inuse:
% 17.16/17.53 Done
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 Intermediate Status:
% 17.16/17.53 Generated: 1164548
% 17.16/17.53 Kept: 18088
% 17.16/17.53 Inuse: 1764
% 17.16/17.53 Deleted: 185
% 17.16/17.53 Deletedinuse: 54
% 17.16/17.53
% 17.16/17.53 Resimplifying inuse:
% 17.16/17.53 Done
% 17.16/17.53
% 17.16/17.53 Resimplifying inuse:
% 17.16/17.53 Done
% 17.16/17.53
% 17.16/17.53 Resimplifying clauses:
% 17.16/17.53
% 17.16/17.53 Bliksems!, er is een bewijs:
% 17.16/17.53 % SZS status Unsatisfiable
% 17.16/17.53 % SZS output start Refutation
% 17.16/17.53
% 17.16/17.53 clause( 0, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 4, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 6, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( X,
% 17.16/17.53 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( U,
% 17.16/17.53 Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 12, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 13, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 20, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, X,
% 17.16/17.53 Z ), between( X, Z, Y ) ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 21, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 22, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 23, [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 24, [ colinear( a, b, c ) ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 25, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~(
% 17.16/17.53 colinear( b, c, a ) ), ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) )
% 17.16/17.53 ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 319, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), =(
% 17.16/17.53 'outer_pasch'( Y, X, X, T, Z ), X ) ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 929, [ =( extension( Y, X, Z, Z ), X ) ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 945, [ between( X, Y, Y ) ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 1286, [ ~( colinear( X, Y, Z ) ), between( X, Z, Y ), colinear( Y,
% 17.16/17.53 X, Z ) ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 1287, [ ~( colinear( X, Y, Z ) ), between( Y, X, Z ), colinear( X,
% 17.16/17.53 Z, Y ) ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 8907, [ between( b, a, c ), colinear( a, c, b ) ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 9044, [ ~( between( Y, X, T ) ), ~( between( Y, T, Z ) ), between(
% 17.16/17.53 Z, X, Y ) ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 9117, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 9418, [ colinear( a, c, b ) ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 9419, [ ~( colinear( Y, Z, X ) ), colinear( Y, X, Z ) ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 9423, [ ~( colinear( Z, X, Y ) ), colinear( X, Z, Y ) ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 9671, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 9675, [ colinear( c, a, b ) ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 9676, [ ~( colinear( b, c, a ) ), ~( colinear( c, a, b ) ), ~(
% 17.16/17.53 colinear( c, b, a ) ) ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 10272, [ colinear( c, b, a ) ] )
% 17.16/17.53 .
% 17.16/17.53 clause( 20083, [] )
% 17.16/17.53 .
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 % SZS output end Refutation
% 17.16/17.53 found a proof!
% 17.16/17.53
% 17.16/17.53 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 17.16/17.53
% 17.16/17.53 initialclauses(
% 17.16/17.53 [ clause( 20085, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 17.16/17.53 , clause( 20086, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ),
% 17.16/17.53 between( X, Y, T ) ] )
% 17.16/17.53 , clause( 20087, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X,
% 17.16/17.53 Y ), between( X, Z, T ), between( X, T, Z ) ] )
% 17.16/17.53 , clause( 20088, [ equidistant( X, Y, Y, X ) ] )
% 17.16/17.53 , clause( 20089, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 17.16/17.53 , clause( 20090, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 17.16/17.53 , W ) ), equidistant( Z, T, U, W ) ] )
% 17.16/17.53 , clause( 20091, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ),
% 17.16/17.53 between( X, 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 17.16/17.53 , clause( 20092, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ),
% 17.16/17.53 between( U, Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 17.16/17.53 , clause( 20093, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 17.16/17.53 Y ), between( X, U, euclid1( Z, X, T, U, Y ) ) ] )
% 17.16/17.53 , clause( 20094, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 17.16/17.53 Y ), between( X, T, euclid2( Z, X, T, U, Y ) ) ] )
% 17.16/17.53 , clause( 20095, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 17.16/17.53 Y ), between( euclid1( Z, X, T, U, Y ), Z, euclid2( Z, X, T, U, Y ) ) ]
% 17.16/17.53 )
% 17.16/17.53 , clause( 20096, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 17.16/17.53 , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 17.16/17.53 ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 17.16/17.53 equidistant( U, V0, W, V1 ) ] )
% 17.16/17.53 , clause( 20097, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 17.16/17.53 , clause( 20098, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 17.16/17.53 , clause( 20099, [ ~( between( 'lower_dimension_point_1',
% 17.16/17.53 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 17.16/17.53 , clause( 20100, [ ~( between( 'lower_dimension_point_2',
% 17.16/17.53 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 17.16/17.53 , clause( 20101, [ ~( between( 'lower_dimension_point_3',
% 17.16/17.53 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 17.16/17.53 , clause( 20102, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 17.16/17.53 , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T,
% 17.16/17.53 U, X ), between( U, X, T ), =( Y, Z ) ] )
% 17.16/17.53 , clause( 20103, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 17.16/17.53 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 17.16/17.53 , W, X, continuous( Y, W, T, Z, U, X ) ) ] )
% 17.16/17.53 , clause( 20104, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 17.16/17.53 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 17.16/17.53 continuous( Y, W, T, Z, U, X ), U ) ] )
% 17.16/17.53 , clause( 20105, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 17.16/17.53 , X, Z ), between( X, Z, Y ) ] )
% 17.16/17.53 , clause( 20106, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 17.16/17.53 , clause( 20107, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 17.16/17.53 , clause( 20108, [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 17.16/17.53 , clause( 20109, [ colinear( a, b, c ) ] )
% 17.16/17.53 , clause( 20110, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~(
% 17.16/17.53 colinear( b, c, a ) ), ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) )
% 17.16/17.53 ] )
% 17.16/17.53 ] ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 0, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 17.16/17.53 , clause( 20085, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 17.16/17.53 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 17.16/17.53 ), ==>( 1, 1 )] ) ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 4, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 17.16/17.53 , clause( 20089, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 17.16/17.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 17.16/17.53 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 6, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( X,
% 17.16/17.53 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 17.16/17.53 , clause( 20091, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ),
% 17.16/17.53 between( X, 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 17.16/17.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 17.16/17.53 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 17.16/17.53 ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( U,
% 17.16/17.53 Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 17.16/17.53 , clause( 20092, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ),
% 17.16/17.53 between( U, Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 17.16/17.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 17.16/17.53 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 17.16/17.53 ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 12, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 17.16/17.53 , clause( 20097, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 17.16/17.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 17.16/17.53 permutation( 0, [ ==>( 0, 0 )] ) ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 13, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 17.16/17.53 , clause( 20098, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 17.16/17.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 17.16/17.53 permutation( 0, [ ==>( 0, 0 )] ) ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 20, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, X,
% 17.16/17.53 Z ), between( X, Z, Y ) ] )
% 17.16/17.53 , clause( 20105, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 17.16/17.53 , X, Z ), between( X, Z, Y ) ] )
% 17.16/17.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 17.16/17.53 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 17.16/17.53 ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 21, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 17.16/17.53 , clause( 20106, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 17.16/17.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 17.16/17.53 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 22, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 17.16/17.53 , clause( 20107, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 17.16/17.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 17.16/17.53 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 23, [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 17.16/17.53 , clause( 20108, [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 17.16/17.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 17.16/17.53 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 24, [ colinear( a, b, c ) ] )
% 17.16/17.53 , clause( 20109, [ colinear( a, b, c ) ] )
% 17.16/17.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 25, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~(
% 17.16/17.53 colinear( b, c, a ) ), ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) )
% 17.16/17.53 ] )
% 17.16/17.53 , clause( 20110, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~(
% 17.16/17.53 colinear( b, c, a ) ), ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) )
% 17.16/17.53 ] )
% 17.16/17.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 17.16/17.53 , 2 ), ==>( 3, 3 ), ==>( 4, 4 )] ) ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 eqswap(
% 17.16/17.53 clause( 20641, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 17.16/17.53 , clause( 0, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 17.16/17.53 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 resolution(
% 17.16/17.53 clause( 20642, [ =( 'outer_pasch'( X, Y, Y, Z, T ), Y ), ~( between( Y, X,
% 17.16/17.53 T ) ), ~( between( Y, T, Z ) ) ] )
% 17.16/17.53 , clause( 20641, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 17.16/17.53 , 1, clause( 6, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between(
% 17.16/17.53 X, 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 17.16/17.53 , 2, substitution( 0, [ :=( X, Y ), :=( Y, 'outer_pasch'( X, Y, Y, Z, T ) )] )
% 17.16/17.53 , substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, T ), :=( T, Y ), :=(
% 17.16/17.53 U, Z )] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 319, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), =(
% 17.16/17.53 'outer_pasch'( Y, X, X, T, Z ), X ) ] )
% 17.16/17.53 , clause( 20642, [ =( 'outer_pasch'( X, Y, Y, Z, T ), Y ), ~( between( Y, X
% 17.16/17.53 , T ) ), ~( between( Y, T, Z ) ) ] )
% 17.16/17.53 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, T ), :=( T, Z )] ),
% 17.16/17.53 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 eqswap(
% 17.16/17.53 clause( 20646, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 17.16/17.53 , clause( 4, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 17.16/17.53 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 resolution(
% 17.16/17.53 clause( 20647, [ =( extension( X, Y, Z, Z ), Y ) ] )
% 17.16/17.53 , clause( 20646, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 17.16/17.53 , 1, clause( 13, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 17.16/17.53 , 0, substitution( 0, [ :=( X, Y ), :=( Y, extension( X, Y, Z, Z ) ), :=( Z
% 17.16/17.53 , Z )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, Z
% 17.16/17.53 )] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 929, [ =( extension( Y, X, Z, Z ), X ) ] )
% 17.16/17.53 , clause( 20647, [ =( extension( X, Y, Z, Z ), Y ) ] )
% 17.16/17.53 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 17.16/17.53 permutation( 0, [ ==>( 0, 0 )] ) ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 paramod(
% 17.16/17.53 clause( 20650, [ between( X, Y, Y ) ] )
% 17.16/17.53 , clause( 929, [ =( extension( Y, X, Z, Z ), X ) ] )
% 17.16/17.53 , 0, clause( 12, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 17.16/17.53 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 17.16/17.53 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 945, [ between( X, Y, Y ) ] )
% 17.16/17.53 , clause( 20650, [ between( X, Y, Y ) ] )
% 17.16/17.53 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 17.16/17.53 )] ) ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 resolution(
% 17.16/17.53 clause( 20667, [ colinear( X, Y, Z ), ~( colinear( Y, X, Z ) ), between( Y
% 17.16/17.53 , X, Z ), between( Y, Z, X ) ] )
% 17.16/17.53 , clause( 21, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 17.16/17.53 , 0, clause( 20, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 17.16/17.53 , X, Z ), between( X, Z, Y ) ] )
% 17.16/17.53 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 17.16/17.53 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 resolution(
% 17.16/17.53 clause( 20681, [ colinear( Y, X, Z ), colinear( Y, X, Z ), ~( colinear( X,
% 17.16/17.53 Y, Z ) ), between( X, Z, Y ) ] )
% 17.16/17.53 , clause( 22, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 17.16/17.53 , 0, clause( 20667, [ colinear( X, Y, Z ), ~( colinear( Y, X, Z ) ),
% 17.16/17.53 between( Y, X, Z ), between( Y, Z, X ) ] )
% 17.16/17.53 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 17.16/17.53 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 factor(
% 17.16/17.53 clause( 20683, [ colinear( X, Y, Z ), ~( colinear( Y, X, Z ) ), between( Y
% 17.16/17.53 , Z, X ) ] )
% 17.16/17.53 , clause( 20681, [ colinear( Y, X, Z ), colinear( Y, X, Z ), ~( colinear( X
% 17.16/17.53 , Y, Z ) ), between( X, Z, Y ) ] )
% 17.16/17.53 , 0, 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 1286, [ ~( colinear( X, Y, Z ) ), between( X, Z, Y ), colinear( Y,
% 17.16/17.53 X, Z ) ] )
% 17.16/17.53 , clause( 20683, [ colinear( X, Y, Z ), ~( colinear( Y, X, Z ) ), between(
% 17.16/17.53 Y, Z, X ) ] )
% 17.16/17.53 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 17.16/17.53 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 resolution(
% 17.16/17.53 clause( 20701, [ colinear( X, Y, Z ), ~( colinear( X, Z, Y ) ), between( X
% 17.16/17.53 , Z, Y ), between( Z, X, Y ) ] )
% 17.16/17.53 , clause( 21, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 17.16/17.53 , 0, clause( 20, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 17.16/17.53 , X, Z ), between( X, Z, Y ) ] )
% 17.16/17.53 , 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 17.16/17.53 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 resolution(
% 17.16/17.53 clause( 20724, [ colinear( X, Z, Y ), colinear( X, Z, Y ), ~( colinear( X,
% 17.16/17.53 Y, Z ) ), between( Y, X, Z ) ] )
% 17.16/17.53 , clause( 23, [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 17.16/17.53 , 0, clause( 20701, [ colinear( X, Y, Z ), ~( colinear( X, Z, Y ) ),
% 17.16/17.53 between( X, Z, Y ), between( Z, X, Y ) ] )
% 17.16/17.53 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 17.16/17.53 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 factor(
% 17.16/17.53 clause( 20726, [ colinear( X, Y, Z ), ~( colinear( X, Z, Y ) ), between( Z
% 17.16/17.53 , X, Y ) ] )
% 17.16/17.53 , clause( 20724, [ colinear( X, Z, Y ), colinear( X, Z, Y ), ~( colinear( X
% 17.16/17.53 , Y, Z ) ), between( Y, X, Z ) ] )
% 17.16/17.53 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 1287, [ ~( colinear( X, Y, Z ) ), between( Y, X, Z ), colinear( X,
% 17.16/17.53 Z, Y ) ] )
% 17.16/17.53 , clause( 20726, [ colinear( X, Y, Z ), ~( colinear( X, Z, Y ) ), between(
% 17.16/17.53 Z, X, Y ) ] )
% 17.16/17.53 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 17.16/17.53 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 resolution(
% 17.16/17.53 clause( 20727, [ between( b, a, c ), colinear( a, c, b ) ] )
% 17.16/17.53 , clause( 1287, [ ~( colinear( X, Y, Z ) ), between( Y, X, Z ), colinear( X
% 17.16/17.53 , Z, Y ) ] )
% 17.16/17.53 , 0, clause( 24, [ colinear( a, b, c ) ] )
% 17.16/17.53 , 0, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, c )] ),
% 17.16/17.53 substitution( 1, [] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 8907, [ between( b, a, c ), colinear( a, c, b ) ] )
% 17.16/17.53 , clause( 20727, [ between( b, a, c ), colinear( a, c, b ) ] )
% 17.16/17.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 17.16/17.53 ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 paramod(
% 17.16/17.53 clause( 20729, [ between( X, Y, Z ), ~( between( Z, Y, T ) ), ~( between( Z
% 17.16/17.53 , T, X ) ), ~( between( Z, Y, T ) ), ~( between( Z, T, X ) ) ] )
% 17.16/17.53 , clause( 319, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), =(
% 17.16/17.53 'outer_pasch'( Y, X, X, T, Z ), X ) ] )
% 17.16/17.53 , 2, clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between(
% 17.16/17.53 U, Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 17.16/17.53 , 2, 3, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, X )] )
% 17.16/17.53 , substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, Z ), :=(
% 17.16/17.53 U, X )] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 factor(
% 17.16/17.53 clause( 20731, [ between( X, Y, Z ), ~( between( Z, Y, T ) ), ~( between( Z
% 17.16/17.53 , T, X ) ), ~( between( Z, T, X ) ) ] )
% 17.16/17.53 , clause( 20729, [ between( X, Y, Z ), ~( between( Z, Y, T ) ), ~( between(
% 17.16/17.53 Z, T, X ) ), ~( between( Z, Y, T ) ), ~( between( Z, T, X ) ) ] )
% 17.16/17.53 , 1, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 17.16/17.53 ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 factor(
% 17.16/17.53 clause( 20733, [ between( X, Y, Z ), ~( between( Z, Y, T ) ), ~( between( Z
% 17.16/17.53 , T, X ) ) ] )
% 17.16/17.53 , clause( 20731, [ between( X, Y, Z ), ~( between( Z, Y, T ) ), ~( between(
% 17.16/17.53 Z, T, X ) ), ~( between( Z, T, X ) ) ] )
% 17.16/17.53 , 2, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 17.16/17.53 ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 9044, [ ~( between( Y, X, T ) ), ~( between( Y, T, Z ) ), between(
% 17.16/17.53 Z, X, Y ) ] )
% 17.16/17.53 , clause( 20733, [ between( X, Y, Z ), ~( between( Z, Y, T ) ), ~( between(
% 17.16/17.53 Z, T, X ) ) ] )
% 17.16/17.53 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] ),
% 17.16/17.53 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 resolution(
% 17.16/17.53 clause( 20735, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 17.16/17.53 , clause( 9044, [ ~( between( Y, X, T ) ), ~( between( Y, T, Z ) ), between(
% 17.16/17.53 Z, X, Y ) ] )
% 17.16/17.53 , 0, clause( 945, [ between( X, Y, Y ) ] )
% 17.16/17.53 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, Y )] ),
% 17.16/17.53 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 9117, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 17.16/17.53 , clause( 20735, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 17.16/17.53 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 17.16/17.53 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 resolution(
% 17.16/17.53 clause( 20736, [ between( c, a, b ), colinear( a, c, b ) ] )
% 17.16/17.53 , clause( 9117, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 17.16/17.53 , 0, clause( 8907, [ between( b, a, c ), colinear( a, c, b ) ] )
% 17.16/17.53 , 0, substitution( 0, [ :=( X, b ), :=( Y, a ), :=( Z, c )] ),
% 17.16/17.53 substitution( 1, [] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 resolution(
% 17.16/17.53 clause( 20737, [ colinear( a, c, b ), colinear( a, c, b ) ] )
% 17.16/17.53 , clause( 22, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 17.16/17.53 , 0, clause( 20736, [ between( c, a, b ), colinear( a, c, b ) ] )
% 17.16/17.53 , 0, substitution( 0, [ :=( X, c ), :=( Y, a ), :=( Z, b )] ),
% 17.16/17.53 substitution( 1, [] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 factor(
% 17.16/17.53 clause( 20738, [ colinear( a, c, b ) ] )
% 17.16/17.53 , clause( 20737, [ colinear( a, c, b ), colinear( a, c, b ) ] )
% 17.16/17.53 , 0, 1, substitution( 0, [] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 9418, [ colinear( a, c, b ) ] )
% 17.16/17.53 , clause( 20738, [ colinear( a, c, b ) ] )
% 17.16/17.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 resolution(
% 17.16/17.53 clause( 20739, [ between( Z, Y, X ), ~( colinear( Y, X, Z ) ), colinear( Y
% 17.16/17.53 , Z, X ) ] )
% 17.16/17.53 , clause( 9117, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 17.16/17.53 , 0, clause( 1287, [ ~( colinear( X, Y, Z ) ), between( Y, X, Z ), colinear(
% 17.16/17.53 X, Z, Y ) ] )
% 17.16/17.53 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 17.16/17.53 substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 resolution(
% 17.16/17.53 clause( 20741, [ colinear( Y, X, Z ), ~( colinear( Y, Z, X ) ), colinear( Y
% 17.16/17.53 , X, Z ) ] )
% 17.16/17.53 , clause( 22, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 17.16/17.53 , 0, clause( 20739, [ between( Z, Y, X ), ~( colinear( Y, X, Z ) ),
% 17.16/17.53 colinear( Y, Z, X ) ] )
% 17.16/17.53 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 17.16/17.53 substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 factor(
% 17.16/17.53 clause( 20742, [ colinear( X, Y, Z ), ~( colinear( X, Z, Y ) ) ] )
% 17.16/17.53 , clause( 20741, [ colinear( Y, X, Z ), ~( colinear( Y, Z, X ) ), colinear(
% 17.16/17.53 Y, X, Z ) ] )
% 17.16/17.53 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 9419, [ ~( colinear( Y, Z, X ) ), colinear( Y, X, Z ) ] )
% 17.16/17.53 , clause( 20742, [ colinear( X, Y, Z ), ~( colinear( X, Z, Y ) ) ] )
% 17.16/17.53 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 17.16/17.53 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 resolution(
% 17.16/17.53 clause( 20743, [ between( Z, Y, X ), ~( colinear( X, Z, Y ) ), colinear( Z
% 17.16/17.53 , X, Y ) ] )
% 17.16/17.53 , clause( 9117, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 17.16/17.53 , 0, clause( 1286, [ ~( colinear( X, Y, Z ) ), between( X, Z, Y ), colinear(
% 17.16/17.53 Y, X, Z ) ] )
% 17.16/17.53 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 17.16/17.53 substitution( 1, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 resolution(
% 17.16/17.53 clause( 20745, [ colinear( X, Z, Y ), ~( colinear( Z, X, Y ) ), colinear( X
% 17.16/17.53 , Z, Y ) ] )
% 17.16/17.53 , clause( 23, [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 17.16/17.53 , 0, clause( 20743, [ between( Z, Y, X ), ~( colinear( X, Z, Y ) ),
% 17.16/17.53 colinear( Z, X, Y ) ] )
% 17.16/17.53 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 17.16/17.53 substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 factor(
% 17.16/17.53 clause( 20746, [ colinear( X, Y, Z ), ~( colinear( Y, X, Z ) ) ] )
% 17.16/17.53 , clause( 20745, [ colinear( X, Z, Y ), ~( colinear( Z, X, Y ) ), colinear(
% 17.16/17.53 X, Z, Y ) ] )
% 17.16/17.53 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 9423, [ ~( colinear( Z, X, Y ) ), colinear( X, Z, Y ) ] )
% 17.16/17.53 , clause( 20746, [ colinear( X, Y, Z ), ~( colinear( Y, X, Z ) ) ] )
% 17.16/17.53 , substitution( 0, [ :=( X, X ), :=( Y, Z ), :=( Z, Y )] ),
% 17.16/17.53 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 resolution(
% 17.16/17.53 clause( 20747, [ colinear( X, Z, Y ), ~( between( Z, Y, X ) ) ] )
% 17.16/17.53 , clause( 23, [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 17.16/17.53 , 0, clause( 9117, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 17.16/17.53 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 17.16/17.53 substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 9671, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 17.16/17.53 , clause( 20747, [ colinear( X, Z, Y ), ~( between( Z, Y, X ) ) ] )
% 17.16/17.53 , substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, X )] ),
% 17.16/17.53 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 resolution(
% 17.16/17.53 clause( 20748, [ between( a, b, c ), colinear( c, a, b ) ] )
% 17.16/17.53 , clause( 1286, [ ~( colinear( X, Y, Z ) ), between( X, Z, Y ), colinear( Y
% 17.16/17.53 , X, Z ) ] )
% 17.16/17.53 , 0, clause( 9418, [ colinear( a, c, b ) ] )
% 17.16/17.53 , 0, substitution( 0, [ :=( X, a ), :=( Y, c ), :=( Z, b )] ),
% 17.16/17.53 substitution( 1, [] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 resolution(
% 17.16/17.53 clause( 20749, [ colinear( c, a, b ), colinear( c, a, b ) ] )
% 17.16/17.53 , clause( 9671, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 17.16/17.53 , 0, clause( 20748, [ between( a, b, c ), colinear( c, a, b ) ] )
% 17.16/17.53 , 0, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, c )] ),
% 17.16/17.53 substitution( 1, [] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 factor(
% 17.16/17.53 clause( 20750, [ colinear( c, a, b ) ] )
% 17.16/17.53 , clause( 20749, [ colinear( c, a, b ), colinear( c, a, b ) ] )
% 17.16/17.53 , 0, 1, substitution( 0, [] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 9675, [ colinear( c, a, b ) ] )
% 17.16/17.53 , clause( 20750, [ colinear( c, a, b ) ] )
% 17.16/17.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 resolution(
% 17.16/17.53 clause( 20751, [ ~( colinear( b, a, c ) ), ~( colinear( b, c, a ) ), ~(
% 17.16/17.53 colinear( c, a, b ) ), ~( colinear( c, b, a ) ) ] )
% 17.16/17.53 , clause( 25, [ ~( colinear( a, c, b ) ), ~( colinear( b, a, c ) ), ~(
% 17.16/17.53 colinear( b, c, a ) ), ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) )
% 17.16/17.53 ] )
% 17.16/17.53 , 0, clause( 9418, [ colinear( a, c, b ) ] )
% 17.16/17.53 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 resolution(
% 17.16/17.53 clause( 20752, [ ~( colinear( b, c, a ) ), ~( colinear( c, a, b ) ), ~(
% 17.16/17.53 colinear( c, b, a ) ), ~( colinear( b, c, a ) ) ] )
% 17.16/17.53 , clause( 20751, [ ~( colinear( b, a, c ) ), ~( colinear( b, c, a ) ), ~(
% 17.16/17.53 colinear( c, a, b ) ), ~( colinear( c, b, a ) ) ] )
% 17.16/17.53 , 0, clause( 9419, [ ~( colinear( Y, Z, X ) ), colinear( Y, X, Z ) ] )
% 17.16/17.53 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b ), :=(
% 17.16/17.53 Z, c )] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 factor(
% 17.16/17.53 clause( 20756, [ ~( colinear( b, c, a ) ), ~( colinear( c, a, b ) ), ~(
% 17.16/17.53 colinear( c, b, a ) ) ] )
% 17.16/17.53 , clause( 20752, [ ~( colinear( b, c, a ) ), ~( colinear( c, a, b ) ), ~(
% 17.16/17.53 colinear( c, b, a ) ), ~( colinear( b, c, a ) ) ] )
% 17.16/17.53 , 0, 3, substitution( 0, [] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 9676, [ ~( colinear( b, c, a ) ), ~( colinear( c, a, b ) ), ~(
% 17.16/17.53 colinear( c, b, a ) ) ] )
% 17.16/17.53 , clause( 20756, [ ~( colinear( b, c, a ) ), ~( colinear( c, a, b ) ), ~(
% 17.16/17.53 colinear( c, b, a ) ) ] )
% 17.16/17.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2
% 17.16/17.53 , 2 )] ) ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 resolution(
% 17.16/17.53 clause( 20760, [ colinear( c, b, a ) ] )
% 17.16/17.53 , clause( 9419, [ ~( colinear( Y, Z, X ) ), colinear( Y, X, Z ) ] )
% 17.16/17.53 , 0, clause( 9675, [ colinear( c, a, b ) ] )
% 17.16/17.53 , 0, substitution( 0, [ :=( X, b ), :=( Y, c ), :=( Z, a )] ),
% 17.16/17.53 substitution( 1, [] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 10272, [ colinear( c, b, a ) ] )
% 17.16/17.53 , clause( 20760, [ colinear( c, b, a ) ] )
% 17.16/17.53 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 resolution(
% 17.16/17.53 clause( 20761, [ ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) ), ~(
% 17.16/17.53 colinear( c, b, a ) ) ] )
% 17.16/17.53 , clause( 9676, [ ~( colinear( b, c, a ) ), ~( colinear( c, a, b ) ), ~(
% 17.16/17.53 colinear( c, b, a ) ) ] )
% 17.16/17.53 , 0, clause( 9423, [ ~( colinear( Z, X, Y ) ), colinear( X, Z, Y ) ] )
% 17.16/17.53 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, a ), :=(
% 17.16/17.53 Z, c )] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 factor(
% 17.16/17.53 clause( 20765, [ ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) ) ] )
% 17.16/17.53 , clause( 20761, [ ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) ), ~(
% 17.16/17.53 colinear( c, b, a ) ) ] )
% 17.16/17.53 , 1, 2, substitution( 0, [] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 resolution(
% 17.16/17.53 clause( 20766, [ ~( colinear( c, b, a ) ), ~( colinear( c, b, a ) ) ] )
% 17.16/17.53 , clause( 20765, [ ~( colinear( c, a, b ) ), ~( colinear( c, b, a ) ) ] )
% 17.16/17.53 , 0, clause( 9419, [ ~( colinear( Y, Z, X ) ), colinear( Y, X, Z ) ] )
% 17.16/17.53 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, c ), :=(
% 17.16/17.53 Z, b )] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 factor(
% 17.16/17.53 clause( 20769, [ ~( colinear( c, b, a ) ) ] )
% 17.16/17.53 , clause( 20766, [ ~( colinear( c, b, a ) ), ~( colinear( c, b, a ) ) ] )
% 17.16/17.53 , 0, 1, substitution( 0, [] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 resolution(
% 17.16/17.53 clause( 20770, [] )
% 17.16/17.53 , clause( 20769, [ ~( colinear( c, b, a ) ) ] )
% 17.16/17.53 , 0, clause( 10272, [ colinear( c, b, a ) ] )
% 17.16/17.53 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 subsumption(
% 17.16/17.53 clause( 20083, [] )
% 17.16/17.53 , clause( 20770, [] )
% 17.16/17.53 , substitution( 0, [] ), permutation( 0, [] ) ).
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 end.
% 17.16/17.53
% 17.16/17.53 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 17.16/17.53
% 17.16/17.53 Memory use:
% 17.16/17.53
% 17.16/17.53 space for terms: 330907
% 17.16/17.53 space for clauses: 752033
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 clauses generated: 1533682
% 17.16/17.53 clauses kept: 20084
% 17.16/17.53 clauses selected: 1906
% 17.16/17.53 clauses deleted: 204
% 17.16/17.53 clauses inuse deleted: 54
% 17.16/17.53
% 17.16/17.53 subsentry: 4583948
% 17.16/17.53 literals s-matched: 2749537
% 17.16/17.53 literals matched: 2010454
% 17.16/17.53 full subsumption: 855330
% 17.16/17.53
% 17.16/17.53 checksum: 1944854137
% 17.16/17.53
% 17.16/17.53
% 17.16/17.53 Bliksem ended
%------------------------------------------------------------------------------