TSTP Solution File: GEO002-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO002-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:50:41 EDT 2022
% Result : Unsatisfiable 3.62s 4.07s
% Output : Refutation 3.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO002-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jun 18 05:53:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 3.62/4.07 *** allocated 10000 integers for termspace/termends
% 3.62/4.07 *** allocated 10000 integers for clauses
% 3.62/4.07 *** allocated 10000 integers for justifications
% 3.62/4.07 Bliksem 1.12
% 3.62/4.07
% 3.62/4.07
% 3.62/4.07 Automatic Strategy Selection
% 3.62/4.07
% 3.62/4.07 Clauses:
% 3.62/4.07 [
% 3.62/4.07 [ equidistant( X, Y, Y, X ) ],
% 3.62/4.07 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 3.62/4.07 equidistant( Z, T, U, W ) ],
% 3.62/4.07 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 3.62/4.07 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 3.62/4.07 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 3.62/4.07 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 3.62/4.07 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 3.62/4.07 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 3.62/4.07 , V0, W, V1 ) ],
% 3.62/4.07 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 3.62/4.07 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 3.62/4.07 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 3.62/4.07 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 3.62/4.07 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 3.62/4.07 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 3.62/4.07 'lower_dimension_point_3' ) ) ],
% 3.62/4.07 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 3.62/4.07 'lower_dimension_point_1' ) ) ],
% 3.62/4.07 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 3.62/4.07 'lower_dimension_point_2' ) ) ],
% 3.62/4.07 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 3.62/4.07 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 3.62/4.07 between( U, X, T ), =( Y, Z ) ],
% 3.62/4.07 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 3.62/4.07 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 3.62/4.07 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 3.62/4.07 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 3.62/4.07 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 3.62/4.07 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 3.62/4.07 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 3.62/4.07 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 3.62/4.07 , Y, Z, W, T, U ), U ) ],
% 3.62/4.07 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 3.62/4.07 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 3.62/4.07 continuous( X, Y, Z, W, T, U ) ) ],
% 3.62/4.07 [ ~( between( a, a, b ) ) ]
% 3.62/4.07 ] .
% 3.62/4.07
% 3.62/4.07
% 3.62/4.07 percentage equality = 0.122807, percentage horn = 0.736842
% 3.62/4.07 This is a problem with some equality
% 3.62/4.07
% 3.62/4.07
% 3.62/4.07
% 3.62/4.07 Options Used:
% 3.62/4.07
% 3.62/4.07 useres = 1
% 3.62/4.07 useparamod = 1
% 3.62/4.07 useeqrefl = 1
% 3.62/4.07 useeqfact = 1
% 3.62/4.07 usefactor = 1
% 3.62/4.07 usesimpsplitting = 0
% 3.62/4.07 usesimpdemod = 5
% 3.62/4.07 usesimpres = 3
% 3.62/4.07
% 3.62/4.07 resimpinuse = 1000
% 3.62/4.07 resimpclauses = 20000
% 3.62/4.07 substype = eqrewr
% 3.62/4.07 backwardsubs = 1
% 3.62/4.07 selectoldest = 5
% 3.62/4.07
% 3.62/4.07 litorderings [0] = split
% 3.62/4.07 litorderings [1] = extend the termordering, first sorting on arguments
% 3.62/4.07
% 3.62/4.07 termordering = kbo
% 3.62/4.07
% 3.62/4.07 litapriori = 0
% 3.62/4.07 termapriori = 1
% 3.62/4.07 litaposteriori = 0
% 3.62/4.07 termaposteriori = 0
% 3.62/4.07 demodaposteriori = 0
% 3.62/4.07 ordereqreflfact = 0
% 3.62/4.07
% 3.62/4.07 litselect = negord
% 3.62/4.07
% 3.62/4.07 maxweight = 15
% 3.62/4.07 maxdepth = 30000
% 3.62/4.07 maxlength = 115
% 3.62/4.07 maxnrvars = 195
% 3.62/4.07 excuselevel = 1
% 3.62/4.07 increasemaxweight = 1
% 3.62/4.07
% 3.62/4.07 maxselected = 10000000
% 3.62/4.07 maxnrclauses = 10000000
% 3.62/4.07
% 3.62/4.07 showgenerated = 0
% 3.62/4.07 showkept = 0
% 3.62/4.07 showselected = 0
% 3.62/4.07 showdeleted = 0
% 3.62/4.07 showresimp = 1
% 3.62/4.07 showstatus = 2000
% 3.62/4.07
% 3.62/4.07 prologoutput = 1
% 3.62/4.07 nrgoals = 5000000
% 3.62/4.07 totalproof = 1
% 3.62/4.07
% 3.62/4.07 Symbols occurring in the translation:
% 3.62/4.07
% 3.62/4.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.62/4.07 . [1, 2] (w:1, o:30, a:1, s:1, b:0),
% 3.62/4.07 ! [4, 1] (w:0, o:25, a:1, s:1, b:0),
% 3.62/4.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.62/4.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.62/4.07 equidistant [41, 4] (w:1, o:56, a:1, s:1, b:0),
% 3.62/4.07 extension [46, 4] (w:1, o:57, a:1, s:1, b:0),
% 3.62/4.07 between [47, 3] (w:1, o:55, a:1, s:1, b:0),
% 3.62/4.07 'inner_pasch' [53, 5] (w:1, o:58, a:1, s:1, b:0),
% 3.62/4.07 'lower_dimension_point_1' [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 3.62/4.07 'lower_dimension_point_2' [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 3.62/4.07 'lower_dimension_point_3' [56, 0] (w:1, o:22, a:1, s:1, b:0),
% 3.62/4.07 euclid1 [57, 5] (w:1, o:59, a:1, s:1, b:0),
% 3.62/4.07 euclid2 [58, 5] (w:1, o:60, a:1, s:1, b:0),
% 3.62/4.07 continuous [59, 6] (w:1, o:61, a:1, s:1, b:0),
% 3.62/4.07 a [60, 0] (w:1, o:23, a:1, s:1, b:0),
% 3.62/4.07 b [61, 0] (w:1, o:24, a:1, s:1, b:0).
% 3.62/4.07
% 3.62/4.07
% 3.62/4.07 Starting Search:
% 3.62/4.07
% 3.62/4.07 Resimplifying inuse:
% 3.62/4.07 Done
% 3.62/4.07
% 3.62/4.07
% 3.62/4.07 Intermediate Status:
% 3.62/4.07 Generated: 14110
% 3.62/4.07 Kept: 2003
% 3.62/4.07 Inuse: 151
% 3.62/4.07 Deleted: 20
% 3.62/4.07 Deletedinuse: 1
% 3.62/4.07
% 3.62/4.07 Resimplifying inuse:
% 3.62/4.07 Done
% 3.62/4.07
% 3.62/4.07 Resimplifying inuse:
% 3.62/4.07 Done
% 3.62/4.07
% 3.62/4.07
% 3.62/4.07 Intermediate Status:
% 3.62/4.07 Generated: 41047
% 3.62/4.07 Kept: 4007
% 3.62/4.07 Inuse: 373
% 3.62/4.07 Deleted: 46
% 3.62/4.07 Deletedinuse: 1
% 3.62/4.07
% 3.62/4.07 Resimplifying inuse:
% 3.62/4.07 Done
% 3.62/4.07
% 3.62/4.07 Resimplifying inuse:
% 3.62/4.07 Done
% 3.62/4.07
% 3.62/4.07
% 3.62/4.07 Intermediate Status:
% 3.62/4.07 Generated: 60418
% 3.62/4.07 Kept: 6025
% 3.62/4.07 Inuse: 526
% 3.62/4.07 Deleted: 46
% 3.62/4.07 Deletedinuse: 1
% 3.62/4.07
% 3.62/4.07 Resimplifying inuse:
% 3.62/4.07 Done
% 3.62/4.07
% 3.62/4.07 Resimplifying inuse:
% 3.62/4.07 Done
% 3.62/4.07
% 3.62/4.07
% 3.62/4.07 Intermediate Status:
% 3.62/4.07 Generated: 170241
% 3.62/4.07 Kept: 8029
% 3.62/4.07 Inuse: 638
% 3.62/4.07 Deleted: 46
% 3.62/4.07 Deletedinuse: 1
% 3.62/4.07
% 3.62/4.07 Resimplifying inuse:
% 3.62/4.07 Done
% 3.62/4.07
% 3.62/4.07 Resimplifying inuse:
% 3.62/4.07 Done
% 3.62/4.07
% 3.62/4.07
% 3.62/4.07 Intermediate Status:
% 3.62/4.07 Generated: 252581
% 3.62/4.07 Kept: 10039
% 3.62/4.07 Inuse: 768
% 3.62/4.07 Deleted: 46
% 3.62/4.07 Deletedinuse: 1
% 3.62/4.07
% 3.62/4.07 Resimplifying inuse:
% 3.62/4.07 Done
% 3.62/4.07
% 3.62/4.07 Resimplifying inuse:
% 3.62/4.07 Done
% 3.62/4.07
% 3.62/4.07
% 3.62/4.07 Bliksems!, er is een bewijs:
% 3.62/4.07 % SZS status Unsatisfiable
% 3.62/4.07 % SZS output start Refutation
% 3.62/4.07
% 3.62/4.07 clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 3.62/4.07 .
% 3.62/4.07 clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 3.62/4.07 .
% 3.62/4.07 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 3.62/4.07 .
% 3.62/4.07 clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 3.62/4.07 .
% 3.62/4.07 clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 3.62/4.07 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 3.62/4.07 .
% 3.62/4.07 clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 3.62/4.07 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 3.62/4.07 .
% 3.62/4.07 clause( 18, [ ~( between( a, a, b ) ) ] )
% 3.62/4.07 .
% 3.62/4.07 clause( 59, [ ~( between( a, a, X ) ), ~( between( X, b, X ) ) ] )
% 3.62/4.07 .
% 3.62/4.07 clause( 166, [ =( extension( Y, X, Z, Z ), X ) ] )
% 3.62/4.07 .
% 3.62/4.07 clause( 174, [ between( X, Y, Y ) ] )
% 3.62/4.07 .
% 3.62/4.07 clause( 257, [ ~( between( X, Y, Z ) ), between( Z, 'inner_pasch'( T, Z, Z
% 3.62/4.07 , Y, X ), X ) ] )
% 3.62/4.07 .
% 3.62/4.07 clause( 11095, [ between( X, 'inner_pasch'( Y, X, X, X, Z ), Z ) ] )
% 3.62/4.07 .
% 3.62/4.07 clause( 11353, [ =( 'inner_pasch'( Y, X, X, X, X ), X ) ] )
% 3.62/4.07 .
% 3.62/4.07 clause( 11359, [ ~( between( Y, Y, Y ) ), between( Y, Y, X ) ] )
% 3.62/4.07 .
% 3.62/4.07 clause( 11360, [ between( Y, Y, X ) ] )
% 3.62/4.07 .
% 3.62/4.07 clause( 11372, [] )
% 3.62/4.07 .
% 3.62/4.07
% 3.62/4.07
% 3.62/4.07 % SZS output end Refutation
% 3.62/4.07 found a proof!
% 3.62/4.07
% 3.62/4.07 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.62/4.07
% 3.62/4.07 initialclauses(
% 3.62/4.07 [ clause( 11374, [ equidistant( X, Y, Y, X ) ] )
% 3.62/4.07 , clause( 11375, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 3.62/4.07 , W ) ), equidistant( Z, T, U, W ) ] )
% 3.62/4.07 , clause( 11376, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 3.62/4.07 , clause( 11377, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 3.62/4.07 , clause( 11378, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 3.62/4.07 , clause( 11379, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 3.62/4.07 , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 3.62/4.07 ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 3.62/4.07 equidistant( U, V0, W, V1 ) ] )
% 3.62/4.07 , clause( 11380, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 3.62/4.07 , clause( 11381, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 3.62/4.07 between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 3.62/4.07 , clause( 11382, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 3.62/4.07 between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 3.62/4.07 , clause( 11383, [ ~( between( 'lower_dimension_point_1',
% 3.62/4.07 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 3.62/4.07 , clause( 11384, [ ~( between( 'lower_dimension_point_2',
% 3.62/4.07 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 3.62/4.07 , clause( 11385, [ ~( between( 'lower_dimension_point_3',
% 3.62/4.07 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 3.62/4.07 , clause( 11386, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 3.62/4.07 , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T,
% 3.62/4.07 U, X ), between( U, X, T ), =( Y, Z ) ] )
% 3.62/4.07 , clause( 11387, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 3.62/4.07 Y ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 3.62/4.07 , clause( 11388, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 3.62/4.07 Y ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 3.62/4.07 , clause( 11389, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 97.32/97.78 Y ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ]
% 97.32/97.78 )
% 97.32/97.78 , clause( 11390, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 97.32/97.78 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 97.32/97.78 continuous( X, Y, Z, W, T, U ), U ) ] )
% 97.32/97.78 , clause( 11391, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 97.32/97.78 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 97.32/97.78 , W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 97.32/97.78 , clause( 11392, [ ~( between( a, a, b ) ) ] )
% 97.32/97.78 ] ).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 subsumption(
% 97.32/97.78 clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 97.32/97.78 , clause( 11376, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 97.32/97.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 97.32/97.78 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 subsumption(
% 97.32/97.78 clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 97.32/97.78 , clause( 11377, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 97.32/97.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 97.32/97.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 subsumption(
% 97.32/97.78 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 97.32/97.78 , clause( 11378, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 97.32/97.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 97.32/97.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 subsumption(
% 97.32/97.78 clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 97.32/97.78 , clause( 11380, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 97.32/97.78 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.32/97.78 ), ==>( 1, 1 )] ) ).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 subsumption(
% 97.32/97.78 clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 97.32/97.78 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 97.32/97.78 , clause( 11381, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 97.32/97.78 between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 97.32/97.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 97.32/97.78 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 97.32/97.78 ).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 subsumption(
% 97.32/97.78 clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 97.32/97.78 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 97.32/97.78 , clause( 11382, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 97.32/97.78 between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 97.32/97.78 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 97.32/97.78 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 97.32/97.78 ).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 subsumption(
% 97.32/97.78 clause( 18, [ ~( between( a, a, b ) ) ] )
% 97.32/97.78 , clause( 11392, [ ~( between( a, a, b ) ) ] )
% 97.32/97.78 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 eqswap(
% 97.32/97.78 clause( 11556, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 97.32/97.78 , clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 97.32/97.78 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 paramod(
% 97.32/97.78 clause( 11559, [ ~( between( a, a, X ) ), ~( between( X, b, X ) ) ] )
% 97.32/97.78 , clause( 11556, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 97.32/97.78 , 0, clause( 18, [ ~( between( a, a, b ) ) ] )
% 97.32/97.78 , 0, 4, substitution( 0, [ :=( X, X ), :=( Y, b )] ), substitution( 1, [] )
% 97.32/97.78 ).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 subsumption(
% 97.32/97.78 clause( 59, [ ~( between( a, a, X ) ), ~( between( X, b, X ) ) ] )
% 97.32/97.78 , clause( 11559, [ ~( between( a, a, X ) ), ~( between( X, b, X ) ) ] )
% 97.32/97.78 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 97.32/97.78 1 )] ) ).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 eqswap(
% 97.32/97.78 clause( 23347, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 97.32/97.78 , clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 97.32/97.78 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 resolution(
% 97.32/97.78 clause( 23348, [ =( extension( X, Y, Z, Z ), Y ) ] )
% 97.32/97.78 , clause( 23347, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 97.32/97.78 , 1, clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 97.32/97.78 , 0, substitution( 0, [ :=( X, Y ), :=( Y, extension( X, Y, Z, Z ) ), :=( Z
% 97.32/97.78 , Z )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, Z
% 97.32/97.78 )] )).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 subsumption(
% 97.32/97.78 clause( 166, [ =( extension( Y, X, Z, Z ), X ) ] )
% 97.32/97.78 , clause( 23348, [ =( extension( X, Y, Z, Z ), Y ) ] )
% 97.32/97.78 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 97.32/97.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 paramod(
% 97.32/97.78 clause( 23351, [ between( X, Y, Y ) ] )
% 97.32/97.78 , clause( 166, [ =( extension( Y, X, Z, Z ), X ) ] )
% 97.32/97.78 , 0, clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 97.32/97.78 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 97.32/97.78 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] )).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 subsumption(
% 97.32/97.78 clause( 174, [ between( X, Y, Y ) ] )
% 97.32/97.78 , clause( 23351, [ between( X, Y, Y ) ] )
% 97.32/97.78 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 97.32/97.78 )] ) ).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 resolution(
% 97.32/97.78 clause( 23352, [ ~( between( Z, T, Y ) ), between( Y, 'inner_pasch'( X, Y,
% 97.32/97.78 Y, T, Z ), Z ) ] )
% 97.32/97.78 , clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y
% 97.32/97.78 , 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 97.32/97.78 , 0, clause( 174, [ between( X, Y, Y ) ] )
% 97.32/97.78 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Z ),
% 97.32/97.78 :=( U, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 subsumption(
% 97.32/97.78 clause( 257, [ ~( between( X, Y, Z ) ), between( Z, 'inner_pasch'( T, Z, Z
% 97.32/97.78 , Y, X ), X ) ] )
% 97.32/97.78 , clause( 23352, [ ~( between( Z, T, Y ) ), between( Y, 'inner_pasch'( X, Y
% 97.32/97.78 , Y, T, Z ), Z ) ] )
% 97.32/97.78 , substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] ),
% 97.32/97.78 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 resolution(
% 97.32/97.78 clause( 23354, [ between( Y, 'inner_pasch'( Z, Y, Y, Y, X ), X ) ] )
% 97.32/97.78 , clause( 257, [ ~( between( X, Y, Z ) ), between( Z, 'inner_pasch'( T, Z,
% 97.32/97.78 Z, Y, X ), X ) ] )
% 97.32/97.78 , 0, clause( 174, [ between( X, Y, Y ) ] )
% 97.32/97.78 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Z )] ),
% 97.32/97.78 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 subsumption(
% 97.32/97.78 clause( 11095, [ between( X, 'inner_pasch'( Y, X, X, X, Z ), Z ) ] )
% 97.32/97.78 , clause( 23354, [ between( Y, 'inner_pasch'( Z, Y, Y, Y, X ), X ) ] )
% 97.32/97.78 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 97.32/97.78 permutation( 0, [ ==>( 0, 0 )] ) ).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 eqswap(
% 97.32/97.78 clause( 23355, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 97.32/97.78 , clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 97.32/97.78 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 resolution(
% 97.32/97.78 clause( 23356, [ =( 'inner_pasch'( X, Y, Y, Y, Y ), Y ) ] )
% 97.32/97.78 , clause( 23355, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 97.32/97.78 , 1, clause( 11095, [ between( X, 'inner_pasch'( Y, X, X, X, Z ), Z ) ] )
% 97.32/97.78 , 0, substitution( 0, [ :=( X, Y ), :=( Y, 'inner_pasch'( X, Y, Y, Y, Y ) )] )
% 97.32/97.78 , substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Y )] )).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 subsumption(
% 97.32/97.78 clause( 11353, [ =( 'inner_pasch'( Y, X, X, X, X ), X ) ] )
% 97.32/97.78 , clause( 23356, [ =( 'inner_pasch'( X, Y, Y, Y, Y ), Y ) ] )
% 97.32/97.78 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.32/97.78 )] ) ).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 paramod(
% 97.32/97.78 clause( 23359, [ between( X, X, Y ), ~( between( Y, X, X ) ), ~( between( X
% 97.32/97.78 , X, X ) ) ] )
% 97.32/97.78 , clause( 11353, [ =( 'inner_pasch'( Y, X, X, X, X ), X ) ] )
% 97.32/97.78 , 0, clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 97.32/97.78 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 97.32/97.78 , 2, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 97.32/97.78 :=( X, Y ), :=( Y, X ), :=( Z, X ), :=( T, X ), :=( U, X )] )).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 resolution(
% 97.32/97.78 clause( 23362, [ between( X, X, Y ), ~( between( X, X, X ) ) ] )
% 97.32/97.78 , clause( 23359, [ between( X, X, Y ), ~( between( Y, X, X ) ), ~( between(
% 97.32/97.78 X, X, X ) ) ] )
% 97.32/97.78 , 1, clause( 174, [ between( X, Y, Y ) ] )
% 97.32/97.78 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 97.32/97.78 , Y ), :=( Y, X )] )).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 subsumption(
% 97.32/97.78 clause( 11359, [ ~( between( Y, Y, Y ) ), between( Y, Y, X ) ] )
% 97.32/97.78 , clause( 23362, [ between( X, X, Y ), ~( between( X, X, X ) ) ] )
% 97.32/97.78 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 97.32/97.78 ), ==>( 1, 0 )] ) ).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 resolution(
% 97.32/97.78 clause( 23364, [ between( X, X, Y ) ] )
% 97.32/97.78 , clause( 11359, [ ~( between( Y, Y, Y ) ), between( Y, Y, X ) ] )
% 97.32/97.78 , 0, clause( 174, [ between( X, Y, Y ) ] )
% 97.32/97.78 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ :=( X
% 97.32/97.78 , X ), :=( Y, X )] )).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 subsumption(
% 97.32/97.78 clause( 11360, [ between( Y, Y, X ) ] )
% 97.32/97.78 , clause( 23364, [ between( X, X, Y ) ] )
% 97.32/97.78 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 97.32/97.78 )] ) ).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 resolution(
% 97.32/97.78 clause( 23366, [ ~( between( a, a, b ) ) ] )
% 97.32/97.78 , clause( 59, [ ~( between( a, a, X ) ), ~( between( X, b, X ) ) ] )
% 97.32/97.78 , 1, clause( 11360, [ between( Y, Y, X ) ] )
% 97.32/97.78 , 0, substitution( 0, [ :=( X, b )] ), substitution( 1, [ :=( X, b ), :=( Y
% 97.32/97.78 , b )] )).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 resolution(
% 97.32/97.78 clause( 23367, [] )
% 97.32/97.78 , clause( 23366, [ ~( between( a, a, b ) ) ] )
% 97.32/97.78 , 0, clause( 11360, [ between( Y, Y, X ) ] )
% 97.32/97.78 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, b ), :=( Y, a )] )
% 97.32/97.78 ).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 subsumption(
% 97.32/97.78 clause( 11372, [] )
% 97.32/97.78 , clause( 23367, [] )
% 97.32/97.78 , substitution( 0, [] ), permutation( 0, [] ) ).
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 end.
% 97.32/97.78
% 97.32/97.78 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 97.32/97.78
% 97.32/97.78 Memory use:
% 97.32/97.78
% 97.32/97.78 space for terms: 192334
% 97.32/97.78 space for clauses: 465390
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 clauses generated: 287281
% 97.32/97.78 clauses kept: 11373
% 97.32/97.78 clauses selected: 834
% 97.32/97.78 clauses deleted: 48
% 97.32/97.78 clauses inuse deleted: 2
% 97.32/97.78
% 97.32/97.78 subsentry: 47092241
% 97.32/97.78 literals s-matched: 20372084
% 97.32/97.78 literals matched: 16164809
% 97.32/97.78 full subsumption: 16064374
% 97.32/97.78
% 97.32/97.78 checksum: -221447789
% 97.32/97.78
% 97.32/97.78
% 97.32/97.78 Bliksem ended
%------------------------------------------------------------------------------