%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO001-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:50:39 EDT 2022
% Result : Unsatisfiable 5.01s 5.42s
% Output : Refutation 5.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO001-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n026.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 13:22:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.01/5.42 *** allocated 10000 integers for termspace/termends
% 5.01/5.42 *** allocated 10000 integers for clauses
% 5.01/5.42 *** allocated 10000 integers for justifications
% 5.01/5.42 Bliksem 1.12
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 Automatic Strategy Selection
% 5.01/5.42
% 5.01/5.42 Clauses:
% 5.01/5.42 [
% 5.01/5.42 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 5.01/5.42 [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X, Y, T ) ]
% 5.01/5.42 ,
% 5.01/5.42 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between(
% 5.01/5.42 X, Z, T ), between( X, T, Z ) ],
% 5.01/5.42 [ equidistant( X, Y, Y, X ) ],
% 5.01/5.42 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 5.01/5.42 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 5.01/5.42 equidistant( Z, T, U, W ) ],
% 5.01/5.42 [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( X,
% 5.01/5.42 'outer_pasch'( Y, X, T, U, Z ), T ) ],
% 5.01/5.42 [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( U, Y,
% 5.01/5.42 'outer_pasch'( Y, X, T, U, Z ) ) ],
% 5.01/5.42 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 5.01/5.42 X, U, euclid1( Z, X, T, U, Y ) ) ],
% 5.01/5.42 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 5.01/5.42 X, T, euclid2( Z, X, T, U, Y ) ) ],
% 5.01/5.42 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 5.01/5.42 euclid1( Z, X, T, U, Y ), Z, euclid2( Z, X, T, U, Y ) ) ],
% 5.01/5.42 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 5.01/5.42 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 5.01/5.42 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 5.01/5.42 , V0, W, V1 ) ],
% 5.01/5.42 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 5.01/5.42 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 5.01/5.42 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 5.01/5.42 'lower_dimension_point_3' ) ) ],
% 5.01/5.42 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 5.01/5.42 'lower_dimension_point_1' ) ) ],
% 5.01/5.42 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 5.01/5.42 'lower_dimension_point_2' ) ) ],
% 5.01/5.42 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 5.01/5.42 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 5.01/5.42 between( U, X, T ), =( Y, Z ) ],
% 5.01/5.42 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 5.01/5.42 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 5.01/5.42 continuous( Y, W, T, Z, U, X ) ) ],
% 5.01/5.42 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 5.01/5.42 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( Y
% 5.01/5.42 , W, T, Z, U, X ), U ) ],
% 5.01/5.42 [ between( a, b, c ) ],
% 5.01/5.42 [ ~( between( c, b, a ) ) ]
% 5.01/5.42 ] .
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 percentage equality = 0.121212, percentage horn = 0.727273
% 5.01/5.42 This is a problem with some equality
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 Options Used:
% 5.01/5.42
% 5.01/5.42 useres = 1
% 5.01/5.42 useparamod = 1
% 5.01/5.42 useeqrefl = 1
% 5.01/5.42 useeqfact = 1
% 5.01/5.42 usefactor = 1
% 5.01/5.42 usesimpsplitting = 0
% 5.01/5.42 usesimpdemod = 5
% 5.01/5.42 usesimpres = 3
% 5.01/5.42
% 5.01/5.42 resimpinuse = 1000
% 5.01/5.42 resimpclauses = 20000
% 5.01/5.42 substype = eqrewr
% 5.01/5.42 backwardsubs = 1
% 5.01/5.42 selectoldest = 5
% 5.01/5.42
% 5.01/5.42 litorderings [0] = split
% 5.01/5.42 litorderings [1] = extend the termordering, first sorting on arguments
% 5.01/5.42
% 5.01/5.42 termordering = kbo
% 5.01/5.42
% 5.01/5.42 litapriori = 0
% 5.01/5.42 termapriori = 1
% 5.01/5.42 litaposteriori = 0
% 5.01/5.42 termaposteriori = 0
% 5.01/5.42 demodaposteriori = 0
% 5.01/5.42 ordereqreflfact = 0
% 5.01/5.42
% 5.01/5.42 litselect = negord
% 5.01/5.42
% 5.01/5.42 maxweight = 15
% 5.01/5.42 maxdepth = 30000
% 5.01/5.42 maxlength = 115
% 5.01/5.42 maxnrvars = 195
% 5.01/5.42 excuselevel = 1
% 5.01/5.42 increasemaxweight = 1
% 5.01/5.42
% 5.01/5.42 maxselected = 10000000
% 5.01/5.42 maxnrclauses = 10000000
% 5.01/5.42
% 5.01/5.42 showgenerated = 0
% 5.01/5.42 showkept = 0
% 5.01/5.42 showselected = 0
% 5.01/5.42 showdeleted = 0
% 5.01/5.42 showresimp = 1
% 5.01/5.42 showstatus = 2000
% 5.01/5.42
% 5.01/5.42 prologoutput = 1
% 5.01/5.42 nrgoals = 5000000
% 5.01/5.42 totalproof = 1
% 5.01/5.42
% 5.01/5.42 Symbols occurring in the translation:
% 5.01/5.42
% 5.01/5.42 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.01/5.42 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 5.01/5.42 ! [4, 1] (w:0, o:25, a:1, s:1, b:0),
% 5.01/5.42 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.01/5.42 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.01/5.42 between [41, 3] (w:1, o:55, a:1, s:1, b:0),
% 5.01/5.42 equidistant [44, 4] (w:1, o:56, a:1, s:1, b:0),
% 5.01/5.42 'outer_pasch' [47, 5] (w:1, o:58, a:1, s:1, b:0),
% 5.01/5.42 euclid1 [48, 5] (w:1, o:59, a:1, s:1, b:0),
% 5.01/5.42 euclid2 [49, 5] (w:1, o:60, a:1, s:1, b:0),
% 5.01/5.42 extension [54, 4] (w:1, o:57, a:1, s:1, b:0),
% 5.01/5.42 'lower_dimension_point_1' [55, 0] (w:1, o:19, a:1, s:1, b:0),
% 5.01/5.42 'lower_dimension_point_2' [56, 0] (w:1, o:20, a:1, s:1, b:0),
% 5.01/5.42 'lower_dimension_point_3' [57, 0] (w:1, o:21, a:1, s:1, b:0),
% 5.01/5.42 continuous [58, 6] (w:1, o:61, a:1, s:1, b:0),
% 5.01/5.42 a [59, 0] (w:1, o:22, a:1, s:1, b:0),
% 5.01/5.42 b [60, 0] (w:1, o:23, a:1, s:1, b:0),
% 5.01/5.42 c [61, 0] (w:1, o:24, a:1, s:1, b:0).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 Starting Search:
% 5.01/5.42
% 5.01/5.42 Resimplifying inuse:
% 5.01/5.42 Done
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 Intermediate Status:
% 5.01/5.42 Generated: 16424
% 5.01/5.42 Kept: 2007
% 5.01/5.42 Inuse: 153
% 5.01/5.42 Deleted: 18
% 5.01/5.42 Deletedinuse: 5
% 5.01/5.42
% 5.01/5.42 Resimplifying inuse:
% 5.01/5.42 Done
% 5.01/5.42
% 5.01/5.42 Resimplifying inuse:
% 5.01/5.42 Done
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 Intermediate Status:
% 5.01/5.42 Generated: 35867
% 5.01/5.42 Kept: 4835
% 5.01/5.42 Inuse: 325
% 5.01/5.42 Deleted: 75
% 5.01/5.42 Deletedinuse: 10
% 5.01/5.42
% 5.01/5.42 Resimplifying inuse:
% 5.01/5.42 Done
% 5.01/5.42
% 5.01/5.42 Resimplifying inuse:
% 5.01/5.42 Done
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 Intermediate Status:
% 5.01/5.42 Generated: 68866
% 5.01/5.42 Kept: 6844
% 5.01/5.42 Inuse: 563
% 5.01/5.42 Deleted: 76
% 5.01/5.42 Deletedinuse: 10
% 5.01/5.42
% 5.01/5.42 Resimplifying inuse:
% 5.01/5.42 Done
% 5.01/5.42
% 5.01/5.42 Resimplifying inuse:
% 5.01/5.42 Done
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 Intermediate Status:
% 5.01/5.42 Generated: 139520
% 5.01/5.42 Kept: 8850
% 5.01/5.42 Inuse: 732
% 5.01/5.42 Deleted: 76
% 5.01/5.42 Deletedinuse: 10
% 5.01/5.42
% 5.01/5.42 Resimplifying inuse:
% 5.01/5.42 Done
% 5.01/5.42
% 5.01/5.42 Resimplifying inuse:
% 5.01/5.42 Done
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 Intermediate Status:
% 5.01/5.42 Generated: 199446
% 5.01/5.42 Kept: 10856
% 5.01/5.42 Inuse: 907
% 5.01/5.42 Deleted: 93
% 5.01/5.42 Deletedinuse: 11
% 5.01/5.42
% 5.01/5.42 Resimplifying inuse:
% 5.01/5.42 Done
% 5.01/5.42
% 5.01/5.42 Resimplifying inuse:
% 5.01/5.42 Done
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 Intermediate Status:
% 5.01/5.42 Generated: 234125
% 5.01/5.42 Kept: 12869
% 5.01/5.42 Inuse: 1062
% 5.01/5.42 Deleted: 132
% 5.01/5.42 Deletedinuse: 11
% 5.01/5.42
% 5.01/5.42 Resimplifying inuse:
% 5.01/5.42 Done
% 5.01/5.42
% 5.01/5.42 Resimplifying inuse:
% 5.01/5.42 Done
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 Intermediate Status:
% 5.01/5.42 Generated: 358005
% 5.01/5.42 Kept: 14875
% 5.01/5.42 Inuse: 1218
% 5.01/5.42 Deleted: 210
% 5.01/5.42 Deletedinuse: 29
% 5.01/5.42
% 5.01/5.42 Resimplifying inuse:
% 5.01/5.42 Done
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 Bliksems!, er is een bewijs:
% 5.01/5.42 % SZS status Unsatisfiable
% 5.01/5.42 % SZS output start Refutation
% 5.01/5.42
% 5.01/5.42 clause( 0, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 5.01/5.42 .
% 5.01/5.42 clause( 4, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 5.01/5.42 .
% 5.01/5.42 clause( 6, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( X,
% 5.01/5.42 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 5.01/5.42 .
% 5.01/5.42 clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( U,
% 5.01/5.42 Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 5.01/5.42 .
% 5.01/5.42 clause( 12, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 5.01/5.42 .
% 5.01/5.42 clause( 13, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 5.01/5.42 .
% 5.01/5.42 clause( 20, [ between( a, b, c ) ] )
% 5.01/5.42 .
% 5.01/5.42 clause( 21, [ ~( between( c, b, a ) ) ] )
% 5.01/5.42 .
% 5.01/5.42 clause( 385, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), =(
% 5.01/5.42 'outer_pasch'( Y, X, X, T, Z ), X ) ] )
% 5.01/5.42 .
% 5.01/5.42 clause( 1046, [ =( extension( Y, X, Z, Z ), X ) ] )
% 5.01/5.42 .
% 5.01/5.42 clause( 1068, [ between( X, Y, Y ) ] )
% 5.01/5.42 .
% 5.01/5.42 clause( 15594, [ ~( between( Y, X, T ) ), ~( between( Y, T, Z ) ), between(
% 5.01/5.42 Z, X, Y ) ] )
% 5.01/5.42 .
% 5.01/5.42 clause( 15750, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 5.01/5.42 .
% 5.01/5.42 clause( 16302, [] )
% 5.01/5.42 .
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 % SZS output end Refutation
% 5.01/5.42 found a proof!
% 5.01/5.42
% 5.01/5.42 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 5.01/5.42
% 5.01/5.42 initialclauses(
% 5.01/5.42 [ clause( 16304, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 5.01/5.42 , clause( 16305, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ),
% 5.01/5.42 between( X, Y, T ) ] )
% 5.01/5.42 , clause( 16306, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X,
% 5.01/5.42 Y ), between( X, Z, T ), between( X, T, Z ) ] )
% 5.01/5.42 , clause( 16307, [ equidistant( X, Y, Y, X ) ] )
% 5.01/5.42 , clause( 16308, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 5.01/5.42 , clause( 16309, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 5.01/5.42 , W ) ), equidistant( Z, T, U, W ) ] )
% 5.01/5.42 , clause( 16310, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ),
% 5.01/5.42 between( X, 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 5.01/5.42 , clause( 16311, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ),
% 5.01/5.42 between( U, Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 5.01/5.42 , clause( 16312, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 5.01/5.42 Y ), between( X, U, euclid1( Z, X, T, U, Y ) ) ] )
% 5.01/5.42 , clause( 16313, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 5.01/5.42 Y ), between( X, T, euclid2( Z, X, T, U, Y ) ) ] )
% 5.01/5.42 , clause( 16314, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 5.01/5.42 Y ), between( euclid1( Z, X, T, U, Y ), Z, euclid2( Z, X, T, U, Y ) ) ]
% 5.01/5.42 )
% 5.01/5.42 , clause( 16315, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 5.01/5.42 , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 5.01/5.42 ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 5.01/5.42 equidistant( U, V0, W, V1 ) ] )
% 5.01/5.42 , clause( 16316, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 5.01/5.42 , clause( 16317, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 5.01/5.42 , clause( 16318, [ ~( between( 'lower_dimension_point_1',
% 5.01/5.42 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 5.01/5.42 , clause( 16319, [ ~( between( 'lower_dimension_point_2',
% 5.01/5.42 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 5.01/5.42 , clause( 16320, [ ~( between( 'lower_dimension_point_3',
% 5.01/5.42 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 5.01/5.42 , clause( 16321, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 5.01/5.42 , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T,
% 5.01/5.42 U, X ), between( U, X, T ), =( Y, Z ) ] )
% 5.01/5.42 , clause( 16322, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 5.01/5.42 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 5.01/5.42 , W, X, continuous( Y, W, T, Z, U, X ) ) ] )
% 5.01/5.42 , clause( 16323, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 5.01/5.42 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 5.01/5.42 continuous( Y, W, T, Z, U, X ), U ) ] )
% 5.01/5.42 , clause( 16324, [ between( a, b, c ) ] )
% 5.01/5.42 , clause( 16325, [ ~( between( c, b, a ) ) ] )
% 5.01/5.42 ] ).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 subsumption(
% 5.01/5.42 clause( 0, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 5.01/5.42 , clause( 16304, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 5.01/5.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.01/5.42 ), ==>( 1, 1 )] ) ).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 subsumption(
% 5.01/5.42 clause( 4, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 5.01/5.42 , clause( 16308, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 5.01/5.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.01/5.42 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 subsumption(
% 5.01/5.42 clause( 6, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( X,
% 5.01/5.42 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 5.01/5.42 , clause( 16310, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ),
% 5.01/5.42 between( X, 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 5.01/5.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 5.01/5.42 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 5.01/5.42 ).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 subsumption(
% 5.01/5.42 clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between( U,
% 5.01/5.42 Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 5.01/5.42 , clause( 16311, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ),
% 5.01/5.42 between( U, Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 5.01/5.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 5.01/5.42 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 5.01/5.42 ).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 subsumption(
% 5.01/5.42 clause( 12, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 5.01/5.42 , clause( 16316, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 5.01/5.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.01/5.42 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 subsumption(
% 5.01/5.42 clause( 13, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 5.01/5.42 , clause( 16317, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 5.01/5.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 5.01/5.42 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 subsumption(
% 5.01/5.42 clause( 20, [ between( a, b, c ) ] )
% 5.01/5.42 , clause( 16324, [ between( a, b, c ) ] )
% 5.01/5.42 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 subsumption(
% 5.01/5.42 clause( 21, [ ~( between( c, b, a ) ) ] )
% 5.01/5.42 , clause( 16325, [ ~( between( c, b, a ) ) ] )
% 5.01/5.42 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 eqswap(
% 5.01/5.42 clause( 16582, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 5.01/5.42 , clause( 0, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 5.01/5.42 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 resolution(
% 5.01/5.42 clause( 16583, [ =( 'outer_pasch'( X, Y, Y, Z, T ), Y ), ~( between( Y, X,
% 5.01/5.42 T ) ), ~( between( Y, T, Z ) ) ] )
% 5.01/5.42 , clause( 16582, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 5.01/5.42 , 1, clause( 6, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between(
% 5.01/5.42 X, 'outer_pasch'( Y, X, T, U, Z ), T ) ] )
% 5.01/5.42 , 2, substitution( 0, [ :=( X, Y ), :=( Y, 'outer_pasch'( X, Y, Y, Z, T ) )] )
% 5.01/5.42 , substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, T ), :=( T, Y ), :=(
% 5.01/5.42 U, Z )] )).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 subsumption(
% 5.01/5.42 clause( 385, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), =(
% 5.01/5.42 'outer_pasch'( Y, X, X, T, Z ), X ) ] )
% 5.01/5.42 , clause( 16583, [ =( 'outer_pasch'( X, Y, Y, Z, T ), Y ), ~( between( Y, X
% 5.01/5.42 , T ) ), ~( between( Y, T, Z ) ) ] )
% 5.01/5.42 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, T ), :=( T, Z )] ),
% 5.01/5.42 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 eqswap(
% 5.01/5.42 clause( 16587, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 5.01/5.42 , clause( 4, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 5.01/5.42 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 resolution(
% 5.01/5.42 clause( 16588, [ =( extension( X, Y, Z, Z ), Y ) ] )
% 5.01/5.42 , clause( 16587, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 5.01/5.42 , 1, clause( 13, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 5.01/5.42 , 0, substitution( 0, [ :=( X, Y ), :=( Y, extension( X, Y, Z, Z ) ), :=( Z
% 5.01/5.42 , Z )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, Z
% 5.01/5.42 )] )).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 subsumption(
% 5.01/5.42 clause( 1046, [ =( extension( Y, X, Z, Z ), X ) ] )
% 5.01/5.42 , clause( 16588, [ =( extension( X, Y, Z, Z ), Y ) ] )
% 5.01/5.42 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 5.01/5.42 permutation( 0, [ ==>( 0, 0 )] ) ).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 paramod(
% 5.01/5.42 clause( 16591, [ between( X, Y, Y ) ] )
% 5.01/5.42 , clause( 1046, [ =( extension( Y, X, Z, Z ), X ) ] )
% 5.01/5.42 , 0, clause( 12, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 5.01/5.42 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 5.01/5.42 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] )).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 subsumption(
% 5.01/5.42 clause( 1068, [ between( X, Y, Y ) ] )
% 5.01/5.42 , clause( 16591, [ between( X, Y, Y ) ] )
% 5.01/5.42 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 5.01/5.42 )] ) ).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 paramod(
% 5.01/5.42 clause( 16593, [ between( X, Y, Z ), ~( between( Z, Y, T ) ), ~( between( Z
% 5.01/5.42 , T, X ) ), ~( between( Z, Y, T ) ), ~( between( Z, T, X ) ) ] )
% 5.01/5.42 , clause( 385, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), =(
% 5.01/5.42 'outer_pasch'( Y, X, X, T, Z ), X ) ] )
% 5.01/5.42 , 2, clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, Z, U ) ), between(
% 5.01/5.42 U, Y, 'outer_pasch'( Y, X, T, U, Z ) ) ] )
% 5.01/5.42 , 2, 3, substitution( 0, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, X )] )
% 5.01/5.42 , substitution( 1, [ :=( X, Z ), :=( Y, Y ), :=( Z, T ), :=( T, Z ), :=(
% 5.01/5.42 U, X )] )).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 factor(
% 5.01/5.42 clause( 16595, [ between( X, Y, Z ), ~( between( Z, Y, T ) ), ~( between( Z
% 5.01/5.42 , T, X ) ), ~( between( Z, T, X ) ) ] )
% 5.01/5.42 , clause( 16593, [ between( X, Y, Z ), ~( between( Z, Y, T ) ), ~( between(
% 5.01/5.42 Z, T, X ) ), ~( between( Z, Y, T ) ), ~( between( Z, T, X ) ) ] )
% 5.01/5.42 , 1, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 5.01/5.42 ).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 factor(
% 5.01/5.42 clause( 16597, [ between( X, Y, Z ), ~( between( Z, Y, T ) ), ~( between( Z
% 5.01/5.42 , T, X ) ) ] )
% 5.01/5.42 , clause( 16595, [ between( X, Y, Z ), ~( between( Z, Y, T ) ), ~( between(
% 5.01/5.42 Z, T, X ) ), ~( between( Z, T, X ) ) ] )
% 5.01/5.42 , 2, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 5.01/5.42 ).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 subsumption(
% 5.01/5.42 clause( 15594, [ ~( between( Y, X, T ) ), ~( between( Y, T, Z ) ), between(
% 5.01/5.42 Z, X, Y ) ] )
% 5.01/5.42 , clause( 16597, [ between( X, Y, Z ), ~( between( Z, Y, T ) ), ~( between(
% 5.01/5.42 Z, T, X ) ) ] )
% 5.01/5.42 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] ),
% 5.01/5.42 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 resolution(
% 5.01/5.42 clause( 16599, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 5.01/5.42 , clause( 15594, [ ~( between( Y, X, T ) ), ~( between( Y, T, Z ) ),
% 5.01/5.42 between( Z, X, Y ) ] )
% 5.01/5.42 , 0, clause( 1068, [ between( X, Y, Y ) ] )
% 5.01/5.42 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, Y )] ),
% 5.01/5.42 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 subsumption(
% 5.01/5.42 clause( 15750, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 5.01/5.42 , clause( 16599, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 5.01/5.42 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 5.01/5.42 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 resolution(
% 5.01/5.42 clause( 16600, [ between( c, b, a ) ] )
% 5.01/5.42 , clause( 15750, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 5.01/5.42 , 0, clause( 20, [ between( a, b, c ) ] )
% 5.01/5.42 , 0, substitution( 0, [ :=( X, a ), :=( Y, b ), :=( Z, c )] ),
% 5.01/5.42 substitution( 1, [] )).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 resolution(
% 5.01/5.42 clause( 16601, [] )
% 5.01/5.42 , clause( 21, [ ~( between( c, b, a ) ) ] )
% 5.01/5.42 , 0, clause( 16600, [ between( c, b, a ) ] )
% 5.01/5.42 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 subsumption(
% 5.01/5.42 clause( 16302, [] )
% 5.01/5.42 , clause( 16601, [] )
% 5.01/5.42 , substitution( 0, [] ), permutation( 0, [] ) ).
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 end.
% 5.01/5.42
% 5.01/5.42 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 5.01/5.42
% 5.01/5.42 Memory use:
% 5.01/5.42
% 5.01/5.42 space for terms: 278447
% 5.01/5.42 space for clauses: 598891
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 clauses generated: 484209
% 5.01/5.42 clauses kept: 16303
% 5.01/5.42 clauses selected: 1424
% 5.01/5.42 clauses deleted: 233
% 5.01/5.42 clauses inuse deleted: 29
% 5.01/5.42
% 5.01/5.42 subsentry: 1473931
% 5.01/5.42 literals s-matched: 510989
% 5.01/5.42 literals matched: 350935
% 5.01/5.42 full subsumption: 112508
% 5.01/5.42
% 5.01/5.42 checksum: -452941701
% 5.01/5.42
% 5.01/5.42
% 5.01/5.42 Bliksem ended
%------------------------------------------------------------------------------