TSTP Solution File: GEO064-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO064-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 02:51:19 EDT 2022
% Result : Unsatisfiable 0.87s 1.27s
% Output : Refutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO064-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sat Jun 18 03:09:58 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.46/1.13 *** allocated 10000 integers for termspace/termends
% 0.46/1.13 *** allocated 10000 integers for clauses
% 0.46/1.13 *** allocated 10000 integers for justifications
% 0.46/1.13 Bliksem 1.12
% 0.46/1.13
% 0.46/1.13
% 0.46/1.13 Automatic Strategy Selection
% 0.46/1.13
% 0.46/1.13 Clauses:
% 0.46/1.13 [
% 0.46/1.13 [ equidistant( X, Y, Y, X ) ],
% 0.46/1.13 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 0.46/1.13 equidistant( Z, T, U, W ) ],
% 0.46/1.13 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.46/1.13 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.46/1.13 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.46/1.13 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.46/1.13 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 0.46/1.13 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.46/1.13 , V0, W, V1 ) ],
% 0.46/1.13 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.46/1.13 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 0.46/1.13 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.46/1.13 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 0.46/1.13 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.46/1.13 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.46/1.13 'lower_dimension_point_3' ) ) ],
% 0.46/1.13 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.46/1.13 'lower_dimension_point_1' ) ) ],
% 0.46/1.13 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.46/1.13 'lower_dimension_point_2' ) ) ],
% 0.46/1.13 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 0.46/1.13 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 0.46/1.13 between( U, X, T ), =( Y, Z ) ],
% 0.46/1.13 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.46/1.13 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.46/1.13 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.46/1.13 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.46/1.13 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.46/1.13 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.46/1.13 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.46/1.13 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.46/1.13 , Y, Z, W, T, U ), U ) ],
% 0.46/1.13 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.46/1.13 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 0.46/1.13 continuous( X, Y, Z, W, T, U ) ) ],
% 0.46/1.13 [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ],
% 0.46/1.13 [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ],
% 0.46/1.13 [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ],
% 0.46/1.13 [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z, X ),
% 0.46/1.13 between( Z, X, Y ) ],
% 0.46/1.13 [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ],
% 0.46/1.13 [ =( insertion( X, Y, Z, T ), extension( extension( Y, X,
% 0.46/1.13 'lower_dimension_point_1', 'lower_dimension_point_2' ), X, Z, T ) ) ]
% 0.46/1.13 ,
% 0.46/1.13 [ equidistant( X, Y, X, Y ) ],
% 0.46/1.13 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ],
% 0.46/1.13 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ],
% 0.46/1.13 [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z ) ],
% 0.46/1.13 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z ) ],
% 0.46/1.13 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X ) ],
% 0.46/1.13 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y ) ],
% 0.46/1.13 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X ) ],
% 0.46/1.13 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U, W ) ),
% 0.46/1.13 equidistant( X, Y, U, W ) ],
% 0.46/1.13 [ =( X, extension( Y, X, Z, Z ) ) ],
% 0.46/1.13 [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ],
% 0.46/1.13 [ between( X, Y, reflection( X, Y ) ) ],
% 0.46/1.13 [ equidistant( X, reflection( Y, X ), Y, X ) ],
% 0.46/1.13 [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ],
% 0.46/1.13 [ =( X, reflection( X, X ) ) ],
% 0.46/1.13 [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ],
% 0.46/1.13 [ equidistant( X, X, Y, Y ) ],
% 0.46/1.13 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.46/1.13 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X, U, Z, W )
% 0.46/1.13 ],
% 0.46/1.13 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~( equidistant( Y, Z
% 0.46/1.13 , Y, T ) ), =( X, Y ), =( Z, T ) ],
% 0.46/1.13 [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, Y, Y, Z ) ) ]
% 0.46/1.13 ,
% 0.46/1.13 [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y ), extension(
% 0.46/1.13 U, W, Z, T ) ), =( U, W ) ],
% 0.46/1.13 [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ), =( X, Y ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ equidistant( X, Y, X, reflection( reflection( Y, X ), X ) ) ],
% 0.87/1.27 [ =( X, reflection( reflection( X, Y ), Y ) ) ],
% 0.87/1.27 [ between( X, Y, Y ) ],
% 0.87/1.27 [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z ) ],
% 0.87/1.27 [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ],
% 0.87/1.27 [ between( X, X, Y ) ],
% 0.87/1.27 [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ) ],
% 0.87/1.27 [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, Z ) ],
% 0.87/1.27 [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ), =( Y, Z )
% 0.87/1.27 ],
% 0.87/1.27 [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X, Y ), =( Y, Z )
% 0.87/1.27 ],
% 0.87/1.27 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, Z ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( Y, Z, T ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Z, T ),
% 0.87/1.27 =( Y, Z ) ],
% 0.87/1.27 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, T ),
% 0.87/1.27 =( Y, Z ) ],
% 0.87/1.27 [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X, T, Z ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( X, Y, T ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( =( 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ],
% 0.87/1.27 [ ~( =( 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ],
% 0.87/1.27 [ ~( =( 'lower_dimension_point_1', 'lower_dimension_point_3' ) ) ],
% 0.87/1.27 [ ~( =( X, extension( Y, X, 'lower_dimension_point_1',
% 0.87/1.27 'lower_dimension_point_2' ) ) ) ],
% 0.87/1.27 [ equidistant( X, extension( Y, X, 'lower_dimension_point_1',
% 0.87/1.27 'lower_dimension_point_2' ), Z, extension( T, Z,
% 0.87/1.27 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ],
% 0.87/1.27 [ between( X, Y, extension( X, Y, 'lower_dimension_point_1',
% 0.87/1.27 'lower_dimension_point_2' ) ) ],
% 0.87/1.27 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), ~( between( X, W, T
% 0.87/1.27 ) ), between( W, 'inner_pasch'( U, 'inner_pasch'( X, W, T, U, Z ), X, Y
% 0.87/1.27 , Z ), Z ), between( Y, 'inner_pasch'( U, 'inner_pasch'( X, W, T, U, Z )
% 0.87/1.27 , X, Y, Z ), U ) ],
% 0.87/1.27 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, X, T ) ), ~(
% 0.87/1.27 equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ],
% 0.87/1.27 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, U, Z, W ) ), ~(
% 0.87/1.27 equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) ), ~(
% 0.87/1.27 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T, V1
% 0.87/1.27 ) ],
% 0.87/1.27 [ ~( between( X, Y, Z ) ), ~( between( T, U, W ) ), ~( equidistant( X, Y
% 0.87/1.27 , T, U ) ), ~( equidistant( X, Z, T, W ) ), equidistant( Y, Z, U, W ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.87/1.27 equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) ), ~(
% 0.87/1.27 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T, V1
% 0.87/1.27 ) ],
% 0.87/1.27 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, T ) ), ~(
% 0.87/1.27 equidistant( Z, Y, Z, T ) ), =( Y, T ) ],
% 0.87/1.27 [ equidistant( X, Y, Z, insertion( Z, T, X, Y ) ) ],
% 0.87/1.27 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ), between( T,
% 0.87/1.27 insertion( T, U, X, Y ), U ) ],
% 0.87/1.27 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ), equidistant(
% 0.87/1.27 Y, Z, insertion( T, U, X, Y ), U ) ],
% 0.87/1.27 [ ~( between( X, Y, Z ) ), =( Y, insertion( X, Z, X, Y ) ) ],
% 0.87/1.27 [ ~( equidistant( X, Y, Z, T ) ), =( insertion( U, W, X, Y ), insertion(
% 0.87/1.27 U, W, Z, T ) ) ],
% 0.87/1.27 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.87/1.27 equidistant( X, U, Z, W ) ), ~( between( X, Y, U ) ), between( Z, T, W )
% 0.87/1.27 ],
% 0.87/1.27 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between(
% 0.87/1.27 X, Z, T ), between( X, T, Z ) ],
% 0.87/1.27 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between(
% 0.87/1.27 Y, Z, T ), between( Y, T, Z ) ],
% 0.87/1.27 [ ~( between( X, Y, Z ) ), ~( between( T, Y, Z ) ), =( Y, Z ), between(
% 0.87/1.27 X, T, Y ), between( T, X, Y ) ],
% 0.87/1.27 [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between( X, Y, T ),
% 0.87/1.27 between( X, T, Y ) ],
% 0.87/1.27 [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between( Y, T, Z ),
% 0.87/1.27 between( T, Y, Z ) ],
% 0.87/1.27 [ ~( between( X, Y, Z ) ), ~( between( Y, T, U ) ), ~( between( X, U, Z
% 0.87/1.27 ) ), between( X, T, Z ) ],
% 0.87/1.27 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, Z ) ), =( Y, Z ) ]
% 0.87/1.27 ,
% 0.87/1.27 [ between( w, v, u ) ],
% 0.87/1.27 [ ~( colinear( u, v, w ) ) ]
% 0.87/1.27 ] .
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 percentage equality = 0.184549, percentage horn = 0.776471
% 0.87/1.27 This is a problem with some equality
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 Options Used:
% 0.87/1.27
% 0.87/1.27 useres = 1
% 0.87/1.27 useparamod = 1
% 0.87/1.27 useeqrefl = 1
% 0.87/1.27 useeqfact = 1
% 0.87/1.27 usefactor = 1
% 0.87/1.27 usesimpsplitting = 0
% 0.87/1.27 usesimpdemod = 5
% 0.87/1.27 usesimpres = 3
% 0.87/1.27
% 0.87/1.27 resimpinuse = 1000
% 0.87/1.27 resimpclauses = 20000
% 0.87/1.27 substype = eqrewr
% 0.87/1.27 backwardsubs = 1
% 0.87/1.27 selectoldest = 5
% 0.87/1.27
% 0.87/1.27 litorderings [0] = split
% 0.87/1.27 litorderings [1] = extend the termordering, first sorting on arguments
% 0.87/1.27
% 0.87/1.27 termordering = kbo
% 0.87/1.27
% 0.87/1.27 litapriori = 0
% 0.87/1.27 termapriori = 1
% 0.87/1.27 litaposteriori = 0
% 0.87/1.27 termaposteriori = 0
% 0.87/1.27 demodaposteriori = 0
% 0.87/1.27 ordereqreflfact = 0
% 0.87/1.27
% 0.87/1.27 litselect = negord
% 0.87/1.27
% 0.87/1.27 maxweight = 15
% 0.87/1.27 maxdepth = 30000
% 0.87/1.27 maxlength = 115
% 0.87/1.27 maxnrvars = 195
% 0.87/1.27 excuselevel = 1
% 0.87/1.27 increasemaxweight = 1
% 0.87/1.27
% 0.87/1.27 maxselected = 10000000
% 0.87/1.27 maxnrclauses = 10000000
% 0.87/1.27
% 0.87/1.27 showgenerated = 0
% 0.87/1.27 showkept = 0
% 0.87/1.27 showselected = 0
% 0.87/1.27 showdeleted = 0
% 0.87/1.27 showresimp = 1
% 0.87/1.27 showstatus = 2000
% 0.87/1.27
% 0.87/1.27 prologoutput = 1
% 0.87/1.27 nrgoals = 5000000
% 0.87/1.27 totalproof = 1
% 0.87/1.27
% 0.87/1.27 Symbols occurring in the translation:
% 0.87/1.27
% 0.87/1.27 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.27 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 0.87/1.27 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 0.87/1.27 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.27 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.27 equidistant [41, 4] (w:1, o:61, a:1, s:1, b:0),
% 0.87/1.27 extension [46, 4] (w:1, o:62, a:1, s:1, b:0),
% 0.87/1.27 between [47, 3] (w:1, o:59, a:1, s:1, b:0),
% 0.87/1.27 'inner_pasch' [53, 5] (w:1, o:64, a:1, s:1, b:0),
% 0.87/1.27 'lower_dimension_point_1' [54, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.87/1.27 'lower_dimension_point_2' [55, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.87/1.27 'lower_dimension_point_3' [56, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.87/1.27 euclid1 [57, 5] (w:1, o:65, a:1, s:1, b:0),
% 0.87/1.27 euclid2 [58, 5] (w:1, o:66, a:1, s:1, b:0),
% 0.87/1.27 continuous [59, 6] (w:1, o:67, a:1, s:1, b:0),
% 0.87/1.27 colinear [60, 3] (w:1, o:60, a:1, s:1, b:0),
% 0.87/1.27 reflection [61, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.87/1.27 insertion [64, 4] (w:1, o:63, a:1, s:1, b:0),
% 0.87/1.27 w [65, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.87/1.27 v [66, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.87/1.27 u [67, 0] (w:1, o:25, a:1, s:1, b:0).
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 Starting Search:
% 0.87/1.27
% 0.87/1.27 Resimplifying inuse:
% 0.87/1.27 Done
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 Bliksems!, er is een bewijs:
% 0.87/1.27 % SZS status Unsatisfiable
% 0.87/1.27 % SZS output start Refutation
% 0.87/1.27
% 0.87/1.27 clause( 18, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 0.87/1.27 .
% 0.87/1.27 clause( 50, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 0.87/1.27 .
% 0.87/1.27 clause( 83, [ between( w, v, u ) ] )
% 0.87/1.27 .
% 0.87/1.27 clause( 84, [ ~( colinear( u, v, w ) ) ] )
% 0.87/1.27 .
% 0.87/1.27 clause( 577, [ between( u, v, w ) ] )
% 0.87/1.27 .
% 0.87/1.27 clause( 1203, [] )
% 0.87/1.27 .
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 % SZS output end Refutation
% 0.87/1.27 found a proof!
% 0.87/1.27
% 0.87/1.27 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.87/1.27
% 0.87/1.27 initialclauses(
% 0.87/1.27 [ clause( 1205, [ equidistant( X, Y, Y, X ) ] )
% 0.87/1.27 , clause( 1206, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 0.87/1.27 W ) ), equidistant( Z, T, U, W ) ] )
% 0.87/1.27 , clause( 1207, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.87/1.27 , clause( 1208, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.87/1.27 , clause( 1209, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.87/1.27 , clause( 1210, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T,
% 0.87/1.27 W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) )
% 0.87/1.27 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 0.87/1.27 equidistant( U, V0, W, V1 ) ] )
% 0.87/1.27 , clause( 1211, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.87/1.27 , clause( 1212, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.87/1.27 Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 0.87/1.27 , clause( 1213, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.87/1.27 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 0.87/1.27 , clause( 1214, [ ~( between( 'lower_dimension_point_1',
% 0.87/1.27 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.87/1.27 , clause( 1215, [ ~( between( 'lower_dimension_point_2',
% 0.87/1.27 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.87/1.27 , clause( 1216, [ ~( between( 'lower_dimension_point_3',
% 0.87/1.27 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.87/1.27 , clause( 1217, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T,
% 0.87/1.27 Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U
% 0.87/1.27 , X ), between( U, X, T ), =( Y, Z ) ] )
% 0.87/1.27 , clause( 1218, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.87/1.27 ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 0.87/1.27 , clause( 1219, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.87/1.27 ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 0.87/1.27 , clause( 1220, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.87/1.27 ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ] )
% 0.87/1.27 , clause( 1221, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 0.87/1.27 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 0.87/1.27 continuous( X, Y, Z, W, T, U ), U ) ] )
% 0.87/1.27 , clause( 1222, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 0.87/1.27 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X,
% 0.87/1.27 W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 0.87/1.27 , clause( 1223, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 0.87/1.27 , clause( 1224, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 0.87/1.27 , clause( 1225, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 0.87/1.27 , clause( 1226, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 0.87/1.27 , Z, X ), between( Z, X, Y ) ] )
% 0.87/1.27 , clause( 1227, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 0.87/1.27 , clause( 1228, [ =( insertion( X, Y, Z, T ), extension( extension( Y, X,
% 0.87/1.27 'lower_dimension_point_1', 'lower_dimension_point_2' ), X, Z, T ) ) ] )
% 0.87/1.27 , clause( 1229, [ equidistant( X, Y, X, Y ) ] )
% 0.87/1.27 , clause( 1230, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 1231, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 1232, [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 1233, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 1234, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 1235, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 1236, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 1237, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U,
% 0.87/1.27 W ) ), equidistant( X, Y, U, W ) ] )
% 0.87/1.27 , clause( 1238, [ =( X, extension( Y, X, Z, Z ) ) ] )
% 0.87/1.27 , clause( 1239, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 1240, [ between( X, Y, reflection( X, Y ) ) ] )
% 0.87/1.27 , clause( 1241, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 0.87/1.27 , clause( 1242, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 0.87/1.27 , clause( 1243, [ =( X, reflection( X, X ) ) ] )
% 0.87/1.27 , clause( 1244, [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ] )
% 0.87/1.27 , clause( 1245, [ equidistant( X, X, Y, Y ) ] )
% 0.87/1.27 , clause( 1246, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T,
% 0.87/1.27 W ) ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X,
% 0.87/1.27 U, Z, W ) ] )
% 0.87/1.27 , clause( 1247, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~(
% 0.87/1.27 equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 0.87/1.27 , clause( 1248, [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, Y
% 0.87/1.27 , Y, Z ) ) ] )
% 0.87/1.27 , clause( 1249, [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y
% 0.87/1.27 ), extension( U, W, Z, T ) ), =( U, W ) ] )
% 0.87/1.27 , clause( 1250, [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ),
% 0.87/1.27 =( X, Y ) ] )
% 0.87/1.27 , clause( 1251, [ equidistant( X, Y, X, reflection( reflection( Y, X ), X )
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 1252, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 0.87/1.27 , clause( 1253, [ between( X, Y, Y ) ] )
% 0.87/1.27 , clause( 1254, [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 1255, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 0.87/1.27 , clause( 1256, [ between( X, X, Y ) ] )
% 0.87/1.27 , clause( 1257, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 1258, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, Z
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 1259, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y
% 0.87/1.27 ), =( Y, Z ) ] )
% 0.87/1.27 , clause( 1260, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X, Y
% 0.87/1.27 ), =( Y, Z ) ] )
% 0.87/1.27 , clause( 1261, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between(
% 0.87/1.27 X, Y, Z ) ] )
% 0.87/1.27 , clause( 1262, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between(
% 0.87/1.27 Y, Z, T ) ] )
% 0.87/1.27 , clause( 1263, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between(
% 0.87/1.27 X, Z, T ), =( Y, Z ) ] )
% 0.87/1.27 , clause( 1264, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between(
% 0.87/1.27 X, Y, T ), =( Y, Z ) ] )
% 0.87/1.27 , clause( 1265, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between(
% 0.87/1.27 X, T, Z ) ] )
% 0.87/1.27 , clause( 1266, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between(
% 0.87/1.27 X, Y, T ) ] )
% 0.87/1.27 , clause( 1267, [ ~( =( 'lower_dimension_point_1',
% 0.87/1.27 'lower_dimension_point_2' ) ) ] )
% 0.87/1.27 , clause( 1268, [ ~( =( 'lower_dimension_point_2',
% 0.87/1.27 'lower_dimension_point_3' ) ) ] )
% 0.87/1.27 , clause( 1269, [ ~( =( 'lower_dimension_point_1',
% 0.87/1.27 'lower_dimension_point_3' ) ) ] )
% 0.87/1.27 , clause( 1270, [ ~( =( X, extension( Y, X, 'lower_dimension_point_1',
% 0.87/1.27 'lower_dimension_point_2' ) ) ) ] )
% 0.87/1.27 , clause( 1271, [ equidistant( X, extension( Y, X,
% 0.87/1.27 'lower_dimension_point_1', 'lower_dimension_point_2' ), Z, extension( T,
% 0.87/1.27 Z, 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.87/1.27 , clause( 1272, [ between( X, Y, extension( X, Y, 'lower_dimension_point_1'
% 0.87/1.27 , 'lower_dimension_point_2' ) ) ] )
% 0.87/1.27 , clause( 1273, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), ~(
% 0.87/1.27 between( X, W, T ) ), between( W, 'inner_pasch'( U, 'inner_pasch'( X, W,
% 0.87/1.27 T, U, Z ), X, Y, Z ), Z ), between( Y, 'inner_pasch'( U, 'inner_pasch'( X
% 0.87/1.27 , W, T, U, Z ), X, Y, Z ), U ) ] )
% 0.87/1.27 , clause( 1274, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, X, T ) ),
% 0.87/1.27 ~( equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 0.87/1.27 , clause( 1275, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, U, Z,
% 0.87/1.27 W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) )
% 0.87/1.27 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T
% 0.87/1.27 , V1 ) ] )
% 0.87/1.27 , clause( 1276, [ ~( between( X, Y, Z ) ), ~( between( T, U, W ) ), ~(
% 0.87/1.27 equidistant( X, Y, T, U ) ), ~( equidistant( X, Z, T, W ) ), equidistant(
% 0.87/1.27 Y, Z, U, W ) ] )
% 0.87/1.27 , clause( 1277, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T,
% 0.87/1.27 W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) )
% 0.87/1.27 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T
% 0.87/1.27 , V1 ) ] )
% 0.87/1.27 , clause( 1278, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, T ) ),
% 0.87/1.27 ~( equidistant( Z, Y, Z, T ) ), =( Y, T ) ] )
% 0.87/1.27 , clause( 1279, [ equidistant( X, Y, Z, insertion( Z, T, X, Y ) ) ] )
% 0.87/1.27 , clause( 1280, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ),
% 0.87/1.27 between( T, insertion( T, U, X, Y ), U ) ] )
% 0.87/1.27 , clause( 1281, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ),
% 0.87/1.27 equidistant( Y, Z, insertion( T, U, X, Y ), U ) ] )
% 0.87/1.27 , clause( 1282, [ ~( between( X, Y, Z ) ), =( Y, insertion( X, Z, X, Y ) )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 1283, [ ~( equidistant( X, Y, Z, T ) ), =( insertion( U, W, X, Y
% 0.87/1.27 ), insertion( U, W, Z, T ) ) ] )
% 0.87/1.27 , clause( 1284, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T,
% 0.87/1.27 W ) ), ~( equidistant( X, U, Z, W ) ), ~( between( X, Y, U ) ), between(
% 0.87/1.27 Z, T, W ) ] )
% 0.87/1.27 , clause( 1285, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y
% 0.87/1.27 ), between( X, Z, T ), between( X, T, Z ) ] )
% 0.87/1.27 , clause( 1286, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y
% 0.87/1.27 ), between( Y, Z, T ), between( Y, T, Z ) ] )
% 0.87/1.27 , clause( 1287, [ ~( between( X, Y, Z ) ), ~( between( T, Y, Z ) ), =( Y, Z
% 0.87/1.27 ), between( X, T, Y ), between( T, X, Y ) ] )
% 0.87/1.27 , clause( 1288, [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between(
% 0.87/1.27 X, Y, T ), between( X, T, Y ) ] )
% 0.87/1.27 , clause( 1289, [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between(
% 0.87/1.27 Y, T, Z ), between( T, Y, Z ) ] )
% 0.87/1.27 , clause( 1290, [ ~( between( X, Y, Z ) ), ~( between( Y, T, U ) ), ~(
% 0.87/1.27 between( X, U, Z ) ), between( X, T, Z ) ] )
% 0.87/1.27 , clause( 1291, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, Z ) ),
% 0.87/1.27 =( Y, Z ) ] )
% 0.87/1.27 , clause( 1292, [ between( w, v, u ) ] )
% 0.87/1.27 , clause( 1293, [ ~( colinear( u, v, w ) ) ] )
% 0.87/1.27 ] ).
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 subsumption(
% 0.87/1.27 clause( 18, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 0.87/1.27 , clause( 1223, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 0.87/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.27 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 subsumption(
% 0.87/1.27 clause( 50, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 0.87/1.27 , clause( 1255, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 0.87/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.27 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 subsumption(
% 0.87/1.27 clause( 83, [ between( w, v, u ) ] )
% 0.87/1.27 , clause( 1292, [ between( w, v, u ) ] )
% 0.87/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 subsumption(
% 0.87/1.27 clause( 84, [ ~( colinear( u, v, w ) ) ] )
% 0.87/1.27 , clause( 1293, [ ~( colinear( u, v, w ) ) ] )
% 0.87/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 resolution(
% 0.87/1.27 clause( 1880, [ between( u, v, w ) ] )
% 0.87/1.27 , clause( 50, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 0.87/1.27 , 0, clause( 83, [ between( w, v, u ) ] )
% 0.87/1.27 , 0, substitution( 0, [ :=( X, w ), :=( Y, v ), :=( Z, u )] ),
% 0.87/1.27 substitution( 1, [] )).
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 subsumption(
% 0.87/1.27 clause( 577, [ between( u, v, w ) ] )
% 0.87/1.27 , clause( 1880, [ between( u, v, w ) ] )
% 0.87/1.27 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 resolution(
% 0.87/1.27 clause( 1881, [ colinear( u, v, w ) ] )
% 0.87/1.27 , clause( 18, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 0.87/1.27 , 0, clause( 577, [ between( u, v, w ) ] )
% 0.87/1.27 , 0, substitution( 0, [ :=( X, u ), :=( Y, v ), :=( Z, w )] ),
% 0.87/1.27 substitution( 1, [] )).
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 resolution(
% 0.87/1.27 clause( 1882, [] )
% 0.87/1.27 , clause( 84, [ ~( colinear( u, v, w ) ) ] )
% 0.87/1.27 , 0, clause( 1881, [ colinear( u, v, w ) ] )
% 0.87/1.27 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 subsumption(
% 0.87/1.27 clause( 1203, [] )
% 0.87/1.27 , clause( 1882, [] )
% 0.87/1.27 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 end.
% 0.87/1.27
% 0.87/1.27 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.87/1.27
% 0.87/1.27 Memory use:
% 0.87/1.27
% 0.87/1.27 space for terms: 36103
% 0.87/1.27 space for clauses: 66208
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 clauses generated: 5519
% 0.87/1.27 clauses kept: 1204
% 0.87/1.27 clauses selected: 76
% 0.87/1.27 clauses deleted: 0
% 0.87/1.27 clauses inuse deleted: 0
% 0.87/1.27
% 0.87/1.27 subsentry: 40856
% 0.87/1.27 literals s-matched: 35305
% 0.87/1.27 literals matched: 32487
% 0.87/1.27 full subsumption: 30024
% 0.87/1.27
% 0.87/1.27 checksum: -748737922
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 Bliksem ended
%------------------------------------------------------------------------------