TSTP Solution File: GEO042-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO042-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 02:51:06 EDT 2022
% Result : Unsatisfiable 7.27s 7.70s
% Output : Refutation 7.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO042-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n020.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 : Fri Jun 17 20:01:04 EDT 2022
% 0.19/0.34 % CPUTime :
% 7.27/7.70 *** allocated 10000 integers for termspace/termends
% 7.27/7.70 *** allocated 10000 integers for clauses
% 7.27/7.70 *** allocated 10000 integers for justifications
% 7.27/7.70 Bliksem 1.12
% 7.27/7.70
% 7.27/7.70
% 7.27/7.70 Automatic Strategy Selection
% 7.27/7.70
% 7.27/7.70 Clauses:
% 7.27/7.70 [
% 7.27/7.70 [ equidistant( X, Y, Y, X ) ],
% 7.27/7.70 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 7.27/7.70 equidistant( Z, T, U, W ) ],
% 7.27/7.70 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 7.27/7.70 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 7.27/7.70 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 7.27/7.70 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 7.27/7.70 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 7.27/7.70 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 7.27/7.70 , V0, W, V1 ) ],
% 7.27/7.70 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 7.27/7.70 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 7.27/7.70 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 7.27/7.70 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 7.27/7.70 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 7.27/7.70 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 7.27/7.70 'lower_dimension_point_3' ) ) ],
% 7.27/7.70 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 7.27/7.70 'lower_dimension_point_1' ) ) ],
% 7.27/7.70 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 7.27/7.70 'lower_dimension_point_2' ) ) ],
% 7.27/7.70 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 7.27/7.70 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 7.27/7.70 between( U, X, T ), =( Y, Z ) ],
% 7.27/7.70 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 7.27/7.70 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 7.27/7.70 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 7.27/7.70 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 7.27/7.70 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 7.27/7.70 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 7.27/7.70 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 7.27/7.70 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 7.27/7.70 , Y, Z, W, T, U ), U ) ],
% 7.27/7.70 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 7.27/7.70 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 7.27/7.70 continuous( X, Y, Z, W, T, U ) ) ],
% 7.27/7.70 [ between( u, v, x ) ],
% 7.27/7.70 [ between( v, w, x ) ],
% 7.27/7.70 [ ~( between( u, v, w ) ) ]
% 7.27/7.70 ] .
% 7.27/7.70
% 7.27/7.70
% 7.27/7.70 percentage equality = 0.118644, percentage horn = 0.761905
% 7.27/7.70 This is a problem with some equality
% 7.27/7.70
% 7.27/7.70
% 7.27/7.70
% 7.27/7.70 Options Used:
% 7.27/7.70
% 7.27/7.70 useres = 1
% 7.27/7.70 useparamod = 1
% 7.27/7.70 useeqrefl = 1
% 7.27/7.70 useeqfact = 1
% 7.27/7.70 usefactor = 1
% 7.27/7.70 usesimpsplitting = 0
% 7.27/7.70 usesimpdemod = 5
% 7.27/7.70 usesimpres = 3
% 7.27/7.70
% 7.27/7.70 resimpinuse = 1000
% 7.27/7.70 resimpclauses = 20000
% 7.27/7.70 substype = eqrewr
% 7.27/7.70 backwardsubs = 1
% 7.27/7.70 selectoldest = 5
% 7.27/7.70
% 7.27/7.70 litorderings [0] = split
% 7.27/7.70 litorderings [1] = extend the termordering, first sorting on arguments
% 7.27/7.70
% 7.27/7.70 termordering = kbo
% 7.27/7.70
% 7.27/7.70 litapriori = 0
% 7.27/7.70 termapriori = 1
% 7.27/7.70 litaposteriori = 0
% 7.27/7.70 termaposteriori = 0
% 7.27/7.70 demodaposteriori = 0
% 7.27/7.70 ordereqreflfact = 0
% 7.27/7.70
% 7.27/7.70 litselect = negord
% 7.27/7.70
% 7.27/7.70 maxweight = 15
% 7.27/7.70 maxdepth = 30000
% 7.27/7.70 maxlength = 115
% 7.27/7.70 maxnrvars = 195
% 7.27/7.70 excuselevel = 1
% 7.27/7.70 increasemaxweight = 1
% 7.27/7.70
% 7.27/7.70 maxselected = 10000000
% 7.27/7.70 maxnrclauses = 10000000
% 7.27/7.70
% 7.27/7.70 showgenerated = 0
% 7.27/7.70 showkept = 0
% 7.27/7.70 showselected = 0
% 7.27/7.70 showdeleted = 0
% 7.27/7.70 showresimp = 1
% 7.27/7.70 showstatus = 2000
% 7.27/7.70
% 7.27/7.70 prologoutput = 1
% 7.27/7.70 nrgoals = 5000000
% 7.27/7.70 totalproof = 1
% 7.27/7.70
% 7.27/7.70 Symbols occurring in the translation:
% 7.27/7.70
% 7.27/7.70 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 7.27/7.70 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 7.27/7.70 ! [4, 1] (w:0, o:27, a:1, s:1, b:0),
% 7.27/7.70 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 7.27/7.70 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 7.27/7.70 equidistant [41, 4] (w:1, o:58, a:1, s:1, b:0),
% 7.27/7.70 extension [46, 4] (w:1, o:59, a:1, s:1, b:0),
% 7.27/7.70 between [47, 3] (w:1, o:57, a:1, s:1, b:0),
% 7.27/7.70 'inner_pasch' [53, 5] (w:1, o:60, a:1, s:1, b:0),
% 7.27/7.70 'lower_dimension_point_1' [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 7.27/7.70 'lower_dimension_point_2' [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 7.27/7.70 'lower_dimension_point_3' [56, 0] (w:1, o:22, a:1, s:1, b:0),
% 7.27/7.70 euclid1 [57, 5] (w:1, o:61, a:1, s:1, b:0),
% 7.27/7.70 euclid2 [58, 5] (w:1, o:62, a:1, s:1, b:0),
% 7.27/7.70 continuous [59, 6] (w:1, o:63, a:1, s:1, b:0),
% 7.27/7.70 u [60, 0] (w:1, o:23, a:1, s:1, b:0),
% 7.27/7.70 v [61, 0] (w:1, o:24, a:1, s:1, b:0),
% 7.27/7.70 x [62, 0] (w:1, o:26, a:1, s:1, b:0),
% 7.27/7.70 w [63, 0] (w:1, o:25, a:1, s:1, b:0).
% 7.27/7.70
% 7.27/7.70
% 7.27/7.70 Starting Search:
% 7.27/7.70
% 7.27/7.70 Resimplifying inuse:
% 7.27/7.70 Done
% 7.27/7.70
% 7.27/7.70
% 7.27/7.70 Intermediate Status:
% 7.27/7.70 Generated: 17730
% 7.27/7.70 Kept: 2006
% 7.27/7.70 Inuse: 206
% 7.27/7.70 Deleted: 35
% 7.27/7.70 Deletedinuse: 0
% 7.27/7.70
% 7.27/7.70 Resimplifying inuse:
% 7.27/7.70 Done
% 7.27/7.70
% 7.27/7.70 Resimplifying inuse:
% 7.27/7.70 Done
% 7.27/7.70
% 7.27/7.70
% 7.27/7.70 Intermediate Status:
% 7.27/7.70 Generated: 29741
% 7.27/7.70 Kept: 4006
% 7.27/7.70 Inuse: 293
% 7.27/7.70 Deleted: 71
% 7.27/7.70 Deletedinuse: 3
% 7.27/7.70
% 7.27/7.70 Resimplifying inuse:
% 7.27/7.70 Done
% 7.27/7.70
% 7.27/7.70 Resimplifying inuse:
% 7.27/7.70 Done
% 7.27/7.70
% 7.27/7.70
% 7.27/7.70 Intermediate Status:
% 7.27/7.70 Generated: 58187
% 7.27/7.70 Kept: 6115
% 7.27/7.70 Inuse: 491
% 7.27/7.70 Deleted: 83
% 7.27/7.70 Deletedinuse: 3
% 7.27/7.70
% 7.27/7.70 Resimplifying inuse:
% 7.27/7.70 Done
% 7.27/7.70
% 7.27/7.70 Resimplifying inuse:
% 7.27/7.70 Done
% 7.27/7.70
% 7.27/7.70
% 7.27/7.70 Intermediate Status:
% 7.27/7.70 Generated: 85400
% 7.27/7.70 Kept: 8298
% 7.27/7.70 Inuse: 711
% 7.27/7.70 Deleted: 83
% 7.27/7.70 Deletedinuse: 3
% 7.27/7.70
% 7.27/7.70 Resimplifying inuse:
% 7.27/7.70 Done
% 7.27/7.70
% 7.27/7.70 Resimplifying inuse:
% 7.27/7.70 Done
% 7.27/7.70
% 7.27/7.70
% 7.27/7.70 Intermediate Status:
% 7.27/7.70 Generated: 199346
% 7.27/7.70 Kept: 10308
% 7.27/7.70 Inuse: 812
% 7.27/7.70 Deleted: 83
% 7.27/7.70 Deletedinuse: 3
% 7.27/7.70
% 7.27/7.70 Resimplifying inuse:
% 7.27/7.70 Done
% 7.27/7.70
% 7.27/7.70 Resimplifying inuse:
% 7.27/7.70 Done
% 7.27/7.70
% 7.27/7.70
% 7.27/7.70 Intermediate Status:
% 7.27/7.70 Generated: 322333
% 7.27/7.70 Kept: 12312
% 7.27/7.70 Inuse: 948
% 7.27/7.70 Deleted: 83
% 7.27/7.70 Deletedinuse: 3
% 7.27/7.70
% 7.27/7.70 Resimplifying inuse:
% 7.27/7.70 Done
% 7.27/7.70
% 7.27/7.70 Resimplifying inuse:
% 7.27/7.70 Done
% 7.27/7.70
% 7.27/7.70
% 7.27/7.70 Intermediate Status:
% 7.27/7.70 Generated: 411630
% 7.27/7.70 Kept: 14312
% 7.27/7.70 Inuse: 1079
% 7.27/7.70 Deleted: 83
% 7.27/7.70 Deletedinuse: 3
% 7.27/7.70
% 7.27/7.70 Resimplifying inuse:
% 7.27/7.70 Done
% 7.27/7.70
% 7.27/7.70
% 7.27/7.70 Intermediate Status:
% 7.27/7.70 Generated: 451629
% 7.27/7.70 Kept: 16343
% 7.27/7.70 Inuse: 1152
% 7.27/7.70 Deleted: 83
% 7.27/7.70 Deletedinuse: 3
% 7.27/7.70
% 7.27/7.70 Resimplifying inuse:
% 7.27/7.70 Done
% 7.27/7.70
% 7.27/7.70 Resimplifying inuse:
% 7.27/7.70 Done
% 7.27/7.70
% 7.27/7.70
% 7.27/7.70 Intermediate Status:
% 7.27/7.70 Generated: 504699
% 7.27/7.70 Kept: 18489
% 7.27/7.70 Inuse: 1250
% 7.27/7.70 Deleted: 182
% 7.27/7.70 Deletedinuse: 24
% 7.27/7.70
% 7.27/7.70 Resimplifying inuse:
% 7.27/7.70 Done
% 7.27/7.70
% 7.27/7.70 Resimplifying inuse:
% 7.27/7.70 Done
% 7.27/7.70
% 7.27/7.70 Resimplifying clauses:
% 7.27/7.70 Done
% 7.27/7.70
% 7.27/7.70
% 7.27/7.70 Intermediate Status:
% 7.27/7.70 Generated: 548986
% 7.27/7.70 Kept: 20507
% 7.27/7.70 Inuse: 1306
% 7.27/7.70 Deleted: 2851
% 7.27/7.70 Deletedinuse: 31
% 7.27/7.70
% 7.27/7.70 Resimplifying inuse:
% 7.27/7.70 Done
% 7.27/7.70
% 7.27/7.70
% 7.27/7.70 Bliksems!, er is een bewijs:
% 7.27/7.70 % SZS status Unsatisfiable
% 7.27/7.70 % SZS output start Refutation
% 7.27/7.70
% 7.27/7.70 clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 7.27/7.70 .
% 7.27/7.70 clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 7.27/7.70 .
% 7.27/7.70 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 7.27/7.70 .
% 7.27/7.70 clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 7.27/7.70 .
% 7.27/7.70 clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 7.27/7.70 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 7.27/7.70 .
% 7.27/7.70 clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 7.27/7.70 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 7.27/7.70 .
% 7.27/7.70 clause( 18, [ between( u, v, x ) ] )
% 7.27/7.70 .
% 7.27/7.70 clause( 19, [ between( v, w, x ) ] )
% 7.27/7.70 .
% 7.27/7.70 clause( 20, [ ~( between( u, v, w ) ) ] )
% 7.27/7.70 .
% 7.27/7.70 clause( 237, [ =( extension( Y, X, Z, Z ), X ) ] )
% 7.27/7.70 .
% 7.27/7.70 clause( 243, [ between( X, Y, Y ) ] )
% 7.27/7.70 .
% 7.27/7.70 clause( 357, [ ~( between( X, Y, x ) ), between( w, 'inner_pasch'( v, w, x
% 7.27/7.70 , Y, X ), X ) ] )
% 7.27/7.70 .
% 7.27/7.70 clause( 364, [ ~( between( X, Y, Z ) ), ~( between( U, T, Z ) ), between( Y
% 7.27/7.70 , W, U ), ~( between( W, 'inner_pasch'( X, Y, Z, T, U ), W ) ) ] )
% 7.27/7.70 .
% 7.27/7.70 clause( 393, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( T, Z, Z
% 7.34/7.70 , Y, X ), T ) ] )
% 7.34/7.70 .
% 7.34/7.70 clause( 397, [ ~( between( X, Y, Z ) ), ~( between( T, X, Z ) ), =(
% 7.34/7.70 'inner_pasch'( X, Y, Z, X, T ), X ) ] )
% 7.34/7.70 .
% 7.34/7.70 clause( 18911, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 7.34/7.70 .
% 7.34/7.70 clause( 19373, [ ~( between( w, v, u ) ) ] )
% 7.34/7.70 .
% 7.34/7.70 clause( 19909, [ ~( between( X, v, x ) ), between( w, v, X ) ] )
% 7.34/7.70 .
% 7.34/7.70 clause( 20802, [] )
% 7.34/7.70 .
% 7.34/7.70
% 7.34/7.70
% 7.34/7.70 % SZS output end Refutation
% 7.34/7.70 found a proof!
% 7.34/7.70
% 7.34/7.70 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 7.34/7.70
% 7.34/7.70 initialclauses(
% 7.34/7.70 [ clause( 20804, [ equidistant( X, Y, Y, X ) ] )
% 7.34/7.70 , clause( 20805, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 7.34/7.70 , W ) ), equidistant( Z, T, U, W ) ] )
% 7.34/7.70 , clause( 20806, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 7.34/7.70 , clause( 20807, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 7.34/7.70 , clause( 20808, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 7.34/7.70 , clause( 20809, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 7.34/7.70 , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 7.34/7.70 ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 7.34/7.70 equidistant( U, V0, W, V1 ) ] )
% 7.34/7.70 , clause( 20810, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 7.34/7.70 , clause( 20811, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 7.34/7.70 between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 7.34/7.70 , clause( 20812, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 7.34/7.70 between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 7.34/7.70 , clause( 20813, [ ~( between( 'lower_dimension_point_1',
% 7.34/7.70 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 7.34/7.70 , clause( 20814, [ ~( between( 'lower_dimension_point_2',
% 7.34/7.70 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 7.34/7.70 , clause( 20815, [ ~( between( 'lower_dimension_point_3',
% 7.34/7.70 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 7.34/7.70 , clause( 20816, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 7.34/7.70 , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T,
% 7.34/7.70 U, X ), between( U, X, T ), =( Y, Z ) ] )
% 7.34/7.70 , clause( 20817, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 7.34/7.70 Y ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 7.34/7.70 , clause( 20818, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 7.34/7.70 Y ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 7.34/7.70 , clause( 20819, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 7.34/7.70 Y ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ]
% 7.34/7.70 )
% 7.34/7.70 , clause( 20820, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 7.34/7.70 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 7.34/7.70 continuous( X, Y, Z, W, T, U ), U ) ] )
% 7.34/7.70 , clause( 20821, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 7.34/7.70 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 7.34/7.70 , W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 7.34/7.70 , clause( 20822, [ between( u, v, x ) ] )
% 7.34/7.70 , clause( 20823, [ between( v, w, x ) ] )
% 7.34/7.70 , clause( 20824, [ ~( between( u, v, w ) ) ] )
% 7.34/7.70 ] ).
% 7.34/7.70
% 7.34/7.70
% 7.34/7.70
% 7.34/7.70 subsumption(
% 7.34/7.70 clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 7.34/7.70 , clause( 20806, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 7.34/7.70 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 7.34/7.70 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 7.34/7.70
% 7.34/7.70
% 7.34/7.70 subsumption(
% 7.34/7.70 clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 7.34/7.70 , clause( 20807, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 7.34/7.70 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 7.34/7.70 permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.34/7.70
% 7.34/7.70
% 7.34/7.70 subsumption(
% 7.34/7.70 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 7.34/7.70 , clause( 20808, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 7.34/7.70 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 7.34/7.70 permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.34/7.70
% 7.34/7.70
% 7.34/7.70 subsumption(
% 7.34/7.70 clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 7.34/7.70 , clause( 20810, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 7.34/7.70 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 7.34/7.70 ), ==>( 1, 1 )] ) ).
% 7.34/7.70
% 7.34/7.70
% 7.34/7.70 subsumption(
% 7.34/7.70 clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 7.34/7.70 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 7.34/7.70 , clause( 20811, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 7.34/7.70 between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 7.34/7.70 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 7.34/7.70 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 7.34/7.70 ).
% 7.34/7.70
% 7.34/7.70
% 7.34/7.70 subsumption(
% 7.34/7.70 clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 7.34/7.70 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 7.34/7.70 , clause( 20812, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 7.34/7.70 between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 7.34/7.70 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 7.34/7.70 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 7.34/7.70 ).
% 7.34/7.70
% 7.34/7.70
% 7.34/7.70 subsumption(
% 7.34/7.70 clause( 18, [ between( u, v, x ) ] )
% 7.34/7.70 , clause( 20822, [ between( u, v, x ) ] )
% 7.34/7.70 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.34/7.70
% 7.34/7.70
% 7.34/7.70 subsumption(
% 7.34/7.70 clause( 19, [ between( v, w, x ) ] )
% 7.34/7.70 , clause( 20823, [ between( v, w, x ) ] )
% 7.34/7.70 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 7.34/7.70
% 7.34/7.70
% 7.34/7.70 subsumption(
% 7.34/7.70 clause( 20, [ ~( between( u, v, w ) ) ] )
% 7.34/7.70 , clause( 20824, [ ~( between( u, v, w ) ) ] )
% 127.25/127.67 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 eqswap(
% 127.25/127.67 clause( 21104, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 127.25/127.67 , clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 127.25/127.67 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 resolution(
% 127.25/127.67 clause( 21105, [ =( extension( X, Y, Z, Z ), Y ) ] )
% 127.25/127.67 , clause( 21104, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 127.25/127.67 , 1, clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 127.25/127.67 , 0, substitution( 0, [ :=( X, Y ), :=( Y, extension( X, Y, Z, Z ) ), :=( Z
% 127.25/127.67 , Z )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, Z
% 127.25/127.67 )] )).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 subsumption(
% 127.25/127.67 clause( 237, [ =( extension( Y, X, Z, Z ), X ) ] )
% 127.25/127.67 , clause( 21105, [ =( extension( X, Y, Z, Z ), Y ) ] )
% 127.25/127.67 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 127.25/127.67 permutation( 0, [ ==>( 0, 0 )] ) ).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 paramod(
% 127.25/127.67 clause( 21108, [ between( X, Y, Y ) ] )
% 127.25/127.67 , clause( 237, [ =( extension( Y, X, Z, Z ), X ) ] )
% 127.25/127.67 , 0, clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 127.25/127.67 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 127.25/127.67 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] )).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 subsumption(
% 127.25/127.67 clause( 243, [ between( X, Y, Y ) ] )
% 127.25/127.67 , clause( 21108, [ between( X, Y, Y ) ] )
% 127.25/127.67 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 127.25/127.67 )] ) ).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 resolution(
% 127.25/127.67 clause( 21109, [ ~( between( X, Y, x ) ), between( w, 'inner_pasch'( v, w,
% 127.25/127.67 x, Y, X ), X ) ] )
% 127.25/127.67 , clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y
% 127.25/127.67 , 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 127.25/127.67 , 0, clause( 19, [ between( v, w, x ) ] )
% 127.25/127.67 , 0, substitution( 0, [ :=( X, v ), :=( Y, w ), :=( Z, x ), :=( T, X ),
% 127.25/127.67 :=( U, Y )] ), substitution( 1, [] )).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 subsumption(
% 127.25/127.67 clause( 357, [ ~( between( X, Y, x ) ), between( w, 'inner_pasch'( v, w, x
% 127.25/127.67 , Y, X ), X ) ] )
% 127.25/127.67 , clause( 21109, [ ~( between( X, Y, x ) ), between( w, 'inner_pasch'( v, w
% 127.25/127.67 , x, Y, X ), X ) ] )
% 127.25/127.67 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 127.25/127.67 ), ==>( 1, 1 )] ) ).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 eqswap(
% 127.25/127.67 clause( 21111, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 127.25/127.67 , clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 127.25/127.67 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 paramod(
% 127.25/127.67 clause( 21112, [ between( X, W, U ), ~( between( W, 'inner_pasch'( Y, X, Z
% 127.25/127.67 , T, U ), W ) ), ~( between( Y, X, Z ) ), ~( between( U, T, Z ) ) ] )
% 127.25/127.67 , clause( 21111, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 127.25/127.67 , 0, clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 127.25/127.67 Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 127.25/127.67 , 2, 2, substitution( 0, [ :=( X, W ), :=( Y, 'inner_pasch'( Y, X, Z, T, U
% 127.25/127.67 ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, U
% 127.25/127.67 ), :=( U, T )] )).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 subsumption(
% 127.25/127.67 clause( 364, [ ~( between( X, Y, Z ) ), ~( between( U, T, Z ) ), between( Y
% 127.25/127.67 , W, U ), ~( between( W, 'inner_pasch'( X, Y, Z, T, U ), W ) ) ] )
% 127.25/127.67 , clause( 21112, [ between( X, W, U ), ~( between( W, 'inner_pasch'( Y, X,
% 127.25/127.67 Z, T, U ), W ) ), ~( between( Y, X, Z ) ), ~( between( U, T, Z ) ) ] )
% 127.25/127.67 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T ), :=( U
% 127.25/127.67 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 3 ), ==>( 2
% 127.25/127.67 , 0 ), ==>( 3, 1 )] ) ).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 resolution(
% 127.25/127.67 clause( 26732, [ ~( between( Z, T, Y ) ), between( T, 'inner_pasch'( X, Y,
% 127.25/127.67 Y, T, Z ), X ) ] )
% 127.25/127.67 , clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U
% 127.25/127.67 , 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 127.25/127.67 , 0, clause( 243, [ between( X, Y, Y ) ] )
% 127.25/127.67 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Z ),
% 127.25/127.67 :=( U, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 subsumption(
% 127.25/127.67 clause( 393, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( T, Z, Z
% 127.25/127.67 , Y, X ), T ) ] )
% 127.25/127.67 , clause( 26732, [ ~( between( Z, T, Y ) ), between( T, 'inner_pasch'( X, Y
% 127.25/127.67 , Y, T, Z ), X ) ] )
% 127.25/127.67 , substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] ),
% 127.25/127.67 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 eqswap(
% 127.25/127.67 clause( 26734, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 127.25/127.67 , clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 127.25/127.67 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 resolution(
% 127.25/127.67 clause( 26735, [ =( 'inner_pasch'( X, Y, Z, X, T ), X ), ~( between( X, Y,
% 127.25/127.67 Z ) ), ~( between( T, X, Z ) ) ] )
% 127.25/127.67 , clause( 26734, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 127.25/127.67 , 1, clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 127.25/127.67 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 127.25/127.67 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'inner_pasch'( X, Y, Z, X, T ) )] )
% 127.25/127.67 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=(
% 127.25/127.67 U, X )] )).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 subsumption(
% 127.25/127.67 clause( 397, [ ~( between( X, Y, Z ) ), ~( between( T, X, Z ) ), =(
% 127.25/127.67 'inner_pasch'( X, Y, Z, X, T ), X ) ] )
% 127.25/127.67 , clause( 26735, [ =( 'inner_pasch'( X, Y, Z, X, T ), X ), ~( between( X, Y
% 127.25/127.67 , Z ) ), ~( between( T, X, Z ) ) ] )
% 127.25/127.67 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 127.25/127.67 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 resolution(
% 127.25/127.67 clause( 26743, [ ~( between( X, Y, Y ) ), ~( between( Z, X, Y ) ), between(
% 127.25/127.67 Y, X, Z ), ~( between( Z, X, Y ) ) ] )
% 127.25/127.67 , clause( 364, [ ~( between( X, Y, Z ) ), ~( between( U, T, Z ) ), between(
% 127.25/127.67 Y, W, U ), ~( between( W, 'inner_pasch'( X, Y, Z, T, U ), W ) ) ] )
% 127.25/127.67 , 3, clause( 393, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( T,
% 127.25/127.67 Z, Z, Y, X ), T ) ] )
% 127.25/127.67 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, X ),
% 127.25/127.67 :=( U, Z ), :=( W, X )] ), substitution( 1, [ :=( X, Z ), :=( Y, X ),
% 127.25/127.67 :=( Z, Y ), :=( T, X )] )).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 resolution(
% 127.25/127.67 clause( 26749, [ ~( between( Z, X, Y ) ), between( Y, X, Z ), ~( between( Z
% 127.25/127.67 , X, Y ) ) ] )
% 127.25/127.67 , clause( 26743, [ ~( between( X, Y, Y ) ), ~( between( Z, X, Y ) ),
% 127.25/127.67 between( Y, X, Z ), ~( between( Z, X, Y ) ) ] )
% 127.25/127.67 , 0, clause( 243, [ between( X, Y, Y ) ] )
% 127.25/127.67 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 127.25/127.67 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 factor(
% 127.25/127.67 clause( 26750, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 127.25/127.67 , clause( 26749, [ ~( between( Z, X, Y ) ), between( Y, X, Z ), ~( between(
% 127.25/127.67 Z, X, Y ) ) ] )
% 127.25/127.67 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 subsumption(
% 127.25/127.67 clause( 18911, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 127.25/127.67 , clause( 26750, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 127.25/127.67 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 127.25/127.67 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 resolution(
% 127.25/127.67 clause( 26751, [ ~( between( w, v, u ) ) ] )
% 127.25/127.67 , clause( 20, [ ~( between( u, v, w ) ) ] )
% 127.25/127.67 , 0, clause( 18911, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 127.25/127.67 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, w ), :=( Y, v ), :=(
% 127.25/127.67 Z, u )] )).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 subsumption(
% 127.25/127.67 clause( 19373, [ ~( between( w, v, u ) ) ] )
% 127.25/127.67 , clause( 26751, [ ~( between( w, v, u ) ) ] )
% 127.25/127.67 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 paramod(
% 127.25/127.67 clause( 26753, [ between( w, v, X ), ~( between( v, w, x ) ), ~( between( X
% 127.25/127.67 , v, x ) ), ~( between( X, v, x ) ) ] )
% 127.25/127.67 , clause( 397, [ ~( between( X, Y, Z ) ), ~( between( T, X, Z ) ), =(
% 127.25/127.67 'inner_pasch'( X, Y, Z, X, T ), X ) ] )
% 127.25/127.67 , 2, clause( 357, [ ~( between( X, Y, x ) ), between( w, 'inner_pasch'( v,
% 127.25/127.67 w, x, Y, X ), X ) ] )
% 127.25/127.67 , 1, 2, substitution( 0, [ :=( X, v ), :=( Y, w ), :=( Z, x ), :=( T, X )] )
% 127.25/127.67 , substitution( 1, [ :=( X, X ), :=( Y, v )] )).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 resolution(
% 127.25/127.67 clause( 26755, [ between( w, v, X ), ~( between( X, v, x ) ), ~( between( X
% 127.25/127.67 , v, x ) ) ] )
% 127.25/127.67 , clause( 26753, [ between( w, v, X ), ~( between( v, w, x ) ), ~( between(
% 127.25/127.67 X, v, x ) ), ~( between( X, v, x ) ) ] )
% 127.25/127.67 , 1, clause( 19, [ between( v, w, x ) ] )
% 127.25/127.67 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 factor(
% 127.25/127.67 clause( 26756, [ between( w, v, X ), ~( between( X, v, x ) ) ] )
% 127.25/127.67 , clause( 26755, [ between( w, v, X ), ~( between( X, v, x ) ), ~( between(
% 127.25/127.67 X, v, x ) ) ] )
% 127.25/127.67 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 subsumption(
% 127.25/127.67 clause( 19909, [ ~( between( X, v, x ) ), between( w, v, X ) ] )
% 127.25/127.67 , clause( 26756, [ between( w, v, X ), ~( between( X, v, x ) ) ] )
% 127.25/127.67 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 127.25/127.67 0 )] ) ).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 resolution(
% 127.25/127.67 clause( 26757, [ ~( between( u, v, x ) ) ] )
% 127.25/127.67 , clause( 19373, [ ~( between( w, v, u ) ) ] )
% 127.25/127.67 , 0, clause( 19909, [ ~( between( X, v, x ) ), between( w, v, X ) ] )
% 127.25/127.67 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, u )] )).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 resolution(
% 127.25/127.67 clause( 26758, [] )
% 127.25/127.67 , clause( 26757, [ ~( between( u, v, x ) ) ] )
% 127.25/127.67 , 0, clause( 18, [ between( u, v, x ) ] )
% 127.25/127.67 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 subsumption(
% 127.25/127.67 clause( 20802, [] )
% 127.25/127.67 , clause( 26758, [] )
% 127.25/127.67 , substitution( 0, [] ), permutation( 0, [] ) ).
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 end.
% 127.25/127.67
% 127.25/127.67 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 127.25/127.67
% 127.25/127.67 Memory use:
% 127.25/127.67
% 127.25/127.67 space for terms: 331776
% 127.25/127.67 space for clauses: 911629
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 clauses generated: 562643
% 127.25/127.67 clauses kept: 20803
% 127.25/127.67 clauses selected: 1318
% 127.25/127.67 clauses deleted: 2851
% 127.25/127.67 clauses inuse deleted: 31
% 127.25/127.67
% 127.25/127.67 subsentry: 89994428
% 127.25/127.67 literals s-matched: 73972077
% 127.25/127.67 literals matched: 25200082
% 127.25/127.67 full subsumption: 24984357
% 127.25/127.67
% 127.25/127.67 checksum: 1594126648
% 127.25/127.67
% 127.25/127.67
% 127.25/127.67 Bliksem ended
%------------------------------------------------------------------------------