TSTP Solution File: GEO065-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO065-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:51:20 EDT 2022
% Result : Unsatisfiable 0.76s 1.23s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO065-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sat Jun 18 03:40:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/1.10 *** allocated 10000 integers for termspace/termends
% 0.72/1.10 *** allocated 10000 integers for clauses
% 0.72/1.10 *** allocated 10000 integers for justifications
% 0.72/1.10 Bliksem 1.12
% 0.72/1.10
% 0.72/1.10
% 0.72/1.10 Automatic Strategy Selection
% 0.72/1.10
% 0.72/1.10 Clauses:
% 0.72/1.10 [
% 0.72/1.10 [ equidistant( X, Y, Y, X ) ],
% 0.72/1.10 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 0.72/1.10 equidistant( Z, T, U, W ) ],
% 0.72/1.10 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.72/1.10 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.72/1.10 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.72/1.10 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.72/1.10 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 0.72/1.10 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.72/1.10 , V0, W, V1 ) ],
% 0.72/1.10 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.72/1.10 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 0.72/1.10 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.72/1.10 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 0.72/1.10 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.72/1.10 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.72/1.10 'lower_dimension_point_3' ) ) ],
% 0.72/1.10 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.72/1.10 'lower_dimension_point_1' ) ) ],
% 0.72/1.10 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.72/1.10 'lower_dimension_point_2' ) ) ],
% 0.72/1.10 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 0.72/1.10 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 0.72/1.10 between( U, X, T ), =( Y, Z ) ],
% 0.72/1.10 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.72/1.10 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.72/1.10 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.72/1.10 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.72/1.10 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.72/1.10 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.72/1.10 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.72/1.10 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.72/1.10 , Y, Z, W, T, U ), U ) ],
% 0.72/1.10 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.72/1.10 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 0.72/1.10 continuous( X, Y, Z, W, T, U ) ) ],
% 0.72/1.10 [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ],
% 0.72/1.10 [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ],
% 0.72/1.10 [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ],
% 0.72/1.10 [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z, X ),
% 0.72/1.10 between( Z, X, Y ) ],
% 0.72/1.10 [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ],
% 0.72/1.10 [ =( insertion( X, Y, Z, T ), extension( extension( Y, X,
% 0.72/1.10 'lower_dimension_point_1', 'lower_dimension_point_2' ), X, Z, T ) ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ equidistant( X, Y, X, Y ) ],
% 0.72/1.10 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ],
% 0.72/1.10 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ],
% 0.72/1.10 [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z ) ],
% 0.72/1.10 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z ) ],
% 0.72/1.10 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X ) ],
% 0.72/1.10 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y ) ],
% 0.72/1.10 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X ) ],
% 0.72/1.10 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U, W ) ),
% 0.72/1.10 equidistant( X, Y, U, W ) ],
% 0.72/1.10 [ =( X, extension( Y, X, Z, Z ) ) ],
% 0.72/1.10 [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ],
% 0.72/1.10 [ between( X, Y, reflection( X, Y ) ) ],
% 0.72/1.10 [ equidistant( X, reflection( Y, X ), Y, X ) ],
% 0.72/1.10 [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ],
% 0.72/1.10 [ =( X, reflection( X, X ) ) ],
% 0.72/1.10 [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ],
% 0.72/1.10 [ equidistant( X, X, Y, Y ) ],
% 0.72/1.10 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.72/1.10 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X, U, Z, W )
% 0.72/1.10 ],
% 0.72/1.10 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~( equidistant( Y, Z
% 0.72/1.10 , Y, T ) ), =( X, Y ), =( Z, T ) ],
% 0.72/1.10 [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, Y, Y, Z ) ) ]
% 0.72/1.10 ,
% 0.72/1.10 [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y ), extension(
% 0.72/1.10 U, W, Z, T ) ), =( U, W ) ],
% 0.72/1.10 [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ), =( X, Y ) ]
% 0.76/1.23 ,
% 0.76/1.23 [ equidistant( X, Y, X, reflection( reflection( Y, X ), X ) ) ],
% 0.76/1.23 [ =( X, reflection( reflection( X, Y ), Y ) ) ],
% 0.76/1.23 [ between( X, Y, Y ) ],
% 0.76/1.23 [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z ) ],
% 0.76/1.23 [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ],
% 0.76/1.23 [ between( X, X, Y ) ],
% 0.76/1.23 [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ) ],
% 0.76/1.23 [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, Z ) ],
% 0.76/1.23 [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ), =( Y, Z )
% 0.76/1.23 ],
% 0.76/1.23 [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X, Y ), =( Y, Z )
% 0.76/1.23 ],
% 0.76/1.23 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, Z ) ]
% 0.76/1.23 ,
% 0.76/1.23 [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( Y, Z, T ) ]
% 0.76/1.23 ,
% 0.76/1.23 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Z, T ),
% 0.76/1.23 =( Y, Z ) ],
% 0.76/1.23 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, T ),
% 0.76/1.23 =( Y, Z ) ],
% 0.76/1.23 [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X, T, Z ) ]
% 0.76/1.23 ,
% 0.76/1.23 [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( X, Y, T ) ]
% 0.76/1.23 ,
% 0.76/1.23 [ ~( =( 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ],
% 0.76/1.23 [ ~( =( 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ],
% 0.76/1.23 [ ~( =( 'lower_dimension_point_1', 'lower_dimension_point_3' ) ) ],
% 0.76/1.23 [ ~( =( X, extension( Y, X, 'lower_dimension_point_1',
% 0.76/1.23 'lower_dimension_point_2' ) ) ) ],
% 0.76/1.23 [ equidistant( X, extension( Y, X, 'lower_dimension_point_1',
% 0.76/1.23 'lower_dimension_point_2' ), Z, extension( T, Z,
% 0.76/1.23 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ],
% 0.76/1.23 [ between( X, Y, extension( X, Y, 'lower_dimension_point_1',
% 0.76/1.23 'lower_dimension_point_2' ) ) ],
% 0.76/1.23 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), ~( between( X, W, T
% 0.76/1.23 ) ), between( W, 'inner_pasch'( U, 'inner_pasch'( X, W, T, U, Z ), X, Y
% 0.76/1.23 , Z ), Z ), between( Y, 'inner_pasch'( U, 'inner_pasch'( X, W, T, U, Z )
% 0.76/1.23 , X, Y, Z ), U ) ],
% 0.76/1.23 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, X, T ) ), ~(
% 0.76/1.23 equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ],
% 0.76/1.23 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, U, Z, W ) ), ~(
% 0.76/1.23 equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) ), ~(
% 0.76/1.23 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T, V1
% 0.76/1.23 ) ],
% 0.76/1.23 [ ~( between( X, Y, Z ) ), ~( between( T, U, W ) ), ~( equidistant( X, Y
% 0.76/1.23 , T, U ) ), ~( equidistant( X, Z, T, W ) ), equidistant( Y, Z, U, W ) ]
% 0.76/1.23 ,
% 0.76/1.23 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.76/1.23 equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) ), ~(
% 0.76/1.23 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T, V1
% 0.76/1.23 ) ],
% 0.76/1.23 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, T ) ), ~(
% 0.76/1.23 equidistant( Z, Y, Z, T ) ), =( Y, T ) ],
% 0.76/1.23 [ equidistant( X, Y, Z, insertion( Z, T, X, Y ) ) ],
% 0.76/1.23 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ), between( T,
% 0.76/1.23 insertion( T, U, X, Y ), U ) ],
% 0.76/1.23 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ), equidistant(
% 0.76/1.23 Y, Z, insertion( T, U, X, Y ), U ) ],
% 0.76/1.23 [ ~( between( X, Y, Z ) ), =( Y, insertion( X, Z, X, Y ) ) ],
% 0.76/1.23 [ ~( equidistant( X, Y, Z, T ) ), =( insertion( U, W, X, Y ), insertion(
% 0.76/1.23 U, W, Z, T ) ) ],
% 0.76/1.23 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.76/1.23 equidistant( X, U, Z, W ) ), ~( between( X, Y, U ) ), between( Z, T, W )
% 0.76/1.23 ],
% 0.76/1.23 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between(
% 0.76/1.23 X, Z, T ), between( X, T, Z ) ],
% 0.76/1.23 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between(
% 0.76/1.23 Y, Z, T ), between( Y, T, Z ) ],
% 0.76/1.23 [ ~( between( X, Y, Z ) ), ~( between( T, Y, Z ) ), =( Y, Z ), between(
% 0.76/1.23 X, T, Y ), between( T, X, Y ) ],
% 0.76/1.23 [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between( X, Y, T ),
% 0.76/1.23 between( X, T, Y ) ],
% 0.76/1.23 [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between( Y, T, Z ),
% 0.76/1.23 between( T, Y, Z ) ],
% 0.76/1.23 [ ~( between( X, Y, Z ) ), ~( between( Y, T, U ) ), ~( between( X, U, Z
% 0.76/1.23 ) ), between( X, T, Z ) ],
% 0.76/1.23 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, Z ) ), =( Y, Z ) ]
% 0.76/1.23 ,
% 0.76/1.23 [ between( u, w, v ) ],
% 0.76/1.23 [ ~( colinear( u, v, w ) ) ]
% 0.76/1.23 ] .
% 0.76/1.23
% 0.76/1.23
% 0.76/1.23 percentage equality = 0.184549, percentage horn = 0.776471
% 0.76/1.23 This is a problem with some equality
% 0.76/1.23
% 0.76/1.23
% 0.76/1.23
% 0.76/1.23 Options Used:
% 0.76/1.23
% 0.76/1.23 useres = 1
% 0.76/1.23 useparamod = 1
% 0.76/1.23 useeqrefl = 1
% 0.76/1.23 useeqfact = 1
% 0.76/1.23 usefactor = 1
% 0.76/1.23 usesimpsplitting = 0
% 0.76/1.23 usesimpdemod = 5
% 0.76/1.23 usesimpres = 3
% 0.76/1.23
% 0.76/1.23 resimpinuse = 1000
% 0.76/1.23 resimpclauses = 20000
% 0.76/1.23 substype = eqrewr
% 0.76/1.23 backwardsubs = 1
% 0.76/1.23 selectoldest = 5
% 0.76/1.23
% 0.76/1.23 litorderings [0] = split
% 0.76/1.23 litorderings [1] = extend the termordering, first sorting on arguments
% 0.76/1.23
% 0.76/1.23 termordering = kbo
% 0.76/1.23
% 0.76/1.23 litapriori = 0
% 0.76/1.23 termapriori = 1
% 0.76/1.23 litaposteriori = 0
% 0.76/1.23 termaposteriori = 0
% 0.76/1.23 demodaposteriori = 0
% 0.76/1.23 ordereqreflfact = 0
% 0.76/1.23
% 0.76/1.23 litselect = negord
% 0.76/1.23
% 0.76/1.23 maxweight = 15
% 0.76/1.23 maxdepth = 30000
% 0.76/1.23 maxlength = 115
% 0.76/1.23 maxnrvars = 195
% 0.76/1.23 excuselevel = 1
% 0.76/1.23 increasemaxweight = 1
% 0.76/1.23
% 0.76/1.23 maxselected = 10000000
% 0.76/1.23 maxnrclauses = 10000000
% 0.76/1.23
% 0.76/1.23 showgenerated = 0
% 0.76/1.23 showkept = 0
% 0.76/1.23 showselected = 0
% 0.76/1.23 showdeleted = 0
% 0.76/1.23 showresimp = 1
% 0.76/1.23 showstatus = 2000
% 0.76/1.23
% 0.76/1.23 prologoutput = 1
% 0.76/1.23 nrgoals = 5000000
% 0.76/1.23 totalproof = 1
% 0.76/1.23
% 0.76/1.23 Symbols occurring in the translation:
% 0.76/1.23
% 0.76/1.23 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.76/1.23 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 0.76/1.23 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 0.76/1.23 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.23 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.23 equidistant [41, 4] (w:1, o:61, a:1, s:1, b:0),
% 0.76/1.23 extension [46, 4] (w:1, o:62, a:1, s:1, b:0),
% 0.76/1.23 between [47, 3] (w:1, o:59, a:1, s:1, b:0),
% 0.76/1.23 'inner_pasch' [53, 5] (w:1, o:64, a:1, s:1, b:0),
% 0.76/1.23 'lower_dimension_point_1' [54, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.76/1.23 'lower_dimension_point_2' [55, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.76/1.23 'lower_dimension_point_3' [56, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.76/1.23 euclid1 [57, 5] (w:1, o:65, a:1, s:1, b:0),
% 0.76/1.23 euclid2 [58, 5] (w:1, o:66, a:1, s:1, b:0),
% 0.76/1.23 continuous [59, 6] (w:1, o:67, a:1, s:1, b:0),
% 0.76/1.23 colinear [60, 3] (w:1, o:60, a:1, s:1, b:0),
% 0.76/1.23 reflection [61, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.76/1.23 insertion [64, 4] (w:1, o:63, a:1, s:1, b:0),
% 0.76/1.23 u [65, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.76/1.23 w [66, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.76/1.23 v [67, 0] (w:1, o:26, a:1, s:1, b:0).
% 0.76/1.23
% 0.76/1.23
% 0.76/1.23 Starting Search:
% 0.76/1.23
% 0.76/1.23 Resimplifying inuse:
% 0.76/1.23 Done
% 0.76/1.23
% 0.76/1.23
% 0.76/1.23 Bliksems!, er is een bewijs:
% 0.76/1.23 % SZS status Unsatisfiable
% 0.76/1.23 % SZS output start Refutation
% 0.76/1.23
% 0.76/1.23 clause( 19, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 0.76/1.23 .
% 0.76/1.23 clause( 50, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 0.76/1.23 .
% 0.76/1.23 clause( 83, [ between( u, w, v ) ] )
% 0.76/1.23 .
% 0.76/1.23 clause( 84, [ ~( colinear( u, v, w ) ) ] )
% 0.76/1.23 .
% 0.76/1.23 clause( 577, [ between( v, w, u ) ] )
% 0.76/1.23 .
% 0.76/1.23 clause( 1185, [] )
% 0.76/1.23 .
% 0.76/1.23
% 0.76/1.23
% 0.76/1.23 % SZS output end Refutation
% 0.76/1.23 found a proof!
% 0.76/1.23
% 0.76/1.23 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.23
% 0.76/1.23 initialclauses(
% 0.76/1.23 [ clause( 1187, [ equidistant( X, Y, Y, X ) ] )
% 0.76/1.23 , clause( 1188, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U,
% 0.76/1.23 W ) ), equidistant( Z, T, U, W ) ] )
% 0.76/1.23 , clause( 1189, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.76/1.23 , clause( 1190, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.76/1.23 , clause( 1191, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.76/1.23 , clause( 1192, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T,
% 0.76/1.23 W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) )
% 0.76/1.23 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 0.76/1.23 equidistant( U, V0, W, V1 ) ] )
% 0.76/1.23 , clause( 1193, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.76/1.23 , clause( 1194, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.76/1.23 Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 0.76/1.23 , clause( 1195, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.76/1.23 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 0.76/1.23 , clause( 1196, [ ~( between( 'lower_dimension_point_1',
% 0.76/1.23 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.76/1.23 , clause( 1197, [ ~( between( 'lower_dimension_point_2',
% 0.76/1.23 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.76/1.23 , clause( 1198, [ ~( between( 'lower_dimension_point_3',
% 0.76/1.23 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.76/1.23 , clause( 1199, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T,
% 0.76/1.23 Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U
% 0.76/1.23 , X ), between( U, X, T ), =( Y, Z ) ] )
% 0.76/1.23 , clause( 1200, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.76/1.23 ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 0.76/1.23 , clause( 1201, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.76/1.23 ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 0.76/1.23 , clause( 1202, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.76/1.23 ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ] )
% 0.76/1.23 , clause( 1203, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 0.76/1.23 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 0.76/1.23 continuous( X, Y, Z, W, T, U ), U ) ] )
% 0.76/1.23 , clause( 1204, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X,
% 0.76/1.23 U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X,
% 0.76/1.23 W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 0.76/1.23 , clause( 1205, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 0.76/1.23 , clause( 1206, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 0.76/1.23 , clause( 1207, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 0.76/1.23 , clause( 1208, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 0.76/1.23 , Z, X ), between( Z, X, Y ) ] )
% 0.76/1.23 , clause( 1209, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 0.76/1.23 , clause( 1210, [ =( insertion( X, Y, Z, T ), extension( extension( Y, X,
% 0.76/1.23 'lower_dimension_point_1', 'lower_dimension_point_2' ), X, Z, T ) ) ] )
% 0.76/1.23 , clause( 1211, [ equidistant( X, Y, X, Y ) ] )
% 0.76/1.23 , clause( 1212, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y )
% 0.76/1.23 ] )
% 0.76/1.23 , clause( 1213, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T )
% 0.76/1.23 ] )
% 0.76/1.23 , clause( 1214, [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z )
% 0.76/1.23 ] )
% 0.76/1.23 , clause( 1215, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z )
% 0.76/1.23 ] )
% 0.76/1.23 , clause( 1216, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X )
% 0.76/1.23 ] )
% 0.76/1.23 , clause( 1217, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y )
% 0.76/1.23 ] )
% 0.76/1.23 , clause( 1218, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X )
% 0.76/1.23 ] )
% 0.76/1.23 , clause( 1219, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U,
% 0.76/1.23 W ) ), equidistant( X, Y, U, W ) ] )
% 0.76/1.23 , clause( 1220, [ =( X, extension( Y, X, Z, Z ) ) ] )
% 0.76/1.23 , clause( 1221, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X )
% 0.76/1.23 ] )
% 0.76/1.23 , clause( 1222, [ between( X, Y, reflection( X, Y ) ) ] )
% 0.76/1.23 , clause( 1223, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 0.76/1.23 , clause( 1224, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 0.76/1.23 , clause( 1225, [ =( X, reflection( X, X ) ) ] )
% 0.76/1.23 , clause( 1226, [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ] )
% 0.76/1.23 , clause( 1227, [ equidistant( X, X, Y, Y ) ] )
% 0.76/1.23 , clause( 1228, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T,
% 0.76/1.23 W ) ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X,
% 0.76/1.23 U, Z, W ) ] )
% 0.76/1.23 , clause( 1229, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~(
% 0.76/1.23 equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 0.76/1.23 , clause( 1230, [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, Y
% 0.76/1.23 , Y, Z ) ) ] )
% 0.76/1.23 , clause( 1231, [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y
% 0.76/1.23 ), extension( U, W, Z, T ) ), =( U, W ) ] )
% 0.76/1.23 , clause( 1232, [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ),
% 0.76/1.23 =( X, Y ) ] )
% 0.76/1.23 , clause( 1233, [ equidistant( X, Y, X, reflection( reflection( Y, X ), X )
% 0.76/1.23 ) ] )
% 0.76/1.23 , clause( 1234, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 0.76/1.23 , clause( 1235, [ between( X, Y, Y ) ] )
% 0.76/1.23 , clause( 1236, [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z
% 0.76/1.23 ) ] )
% 0.76/1.23 , clause( 1237, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 0.76/1.23 , clause( 1238, [ between( X, X, Y ) ] )
% 0.76/1.23 , clause( 1239, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y
% 0.76/1.23 ) ] )
% 0.76/1.23 , clause( 1240, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, Z
% 0.76/1.23 ) ] )
% 0.76/1.23 , clause( 1241, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y
% 0.76/1.23 ), =( Y, Z ) ] )
% 0.76/1.23 , clause( 1242, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X, Y
% 0.76/1.23 ), =( Y, Z ) ] )
% 0.76/1.23 , clause( 1243, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between(
% 0.76/1.23 X, Y, Z ) ] )
% 0.76/1.23 , clause( 1244, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between(
% 0.76/1.23 Y, Z, T ) ] )
% 0.76/1.23 , clause( 1245, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between(
% 0.76/1.23 X, Z, T ), =( Y, Z ) ] )
% 0.76/1.23 , clause( 1246, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between(
% 0.76/1.23 X, Y, T ), =( Y, Z ) ] )
% 0.76/1.23 , clause( 1247, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between(
% 0.76/1.23 X, T, Z ) ] )
% 0.76/1.23 , clause( 1248, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between(
% 0.76/1.23 X, Y, T ) ] )
% 0.76/1.23 , clause( 1249, [ ~( =( 'lower_dimension_point_1',
% 0.76/1.23 'lower_dimension_point_2' ) ) ] )
% 0.76/1.23 , clause( 1250, [ ~( =( 'lower_dimension_point_2',
% 0.76/1.23 'lower_dimension_point_3' ) ) ] )
% 0.76/1.23 , clause( 1251, [ ~( =( 'lower_dimension_point_1',
% 0.76/1.23 'lower_dimension_point_3' ) ) ] )
% 0.76/1.23 , clause( 1252, [ ~( =( X, extension( Y, X, 'lower_dimension_point_1',
% 0.76/1.23 'lower_dimension_point_2' ) ) ) ] )
% 0.76/1.23 , clause( 1253, [ equidistant( X, extension( Y, X,
% 0.76/1.23 'lower_dimension_point_1', 'lower_dimension_point_2' ), Z, extension( T,
% 0.76/1.23 Z, 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.76/1.23 , clause( 1254, [ between( X, Y, extension( X, Y, 'lower_dimension_point_1'
% 0.76/1.23 , 'lower_dimension_point_2' ) ) ] )
% 0.76/1.23 , clause( 1255, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), ~(
% 0.76/1.23 between( X, W, T ) ), between( W, 'inner_pasch'( U, 'inner_pasch'( X, W,
% 0.76/1.23 T, U, Z ), X, Y, Z ), Z ), between( Y, 'inner_pasch'( U, 'inner_pasch'( X
% 0.76/1.23 , W, T, U, Z ), X, Y, Z ), U ) ] )
% 0.76/1.23 , clause( 1256, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, X, T ) ),
% 0.76/1.23 ~( equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 0.76/1.23 , clause( 1257, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, U, Z,
% 0.76/1.23 W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) )
% 0.76/1.23 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T
% 0.76/1.23 , V1 ) ] )
% 0.76/1.23 , clause( 1258, [ ~( between( X, Y, Z ) ), ~( between( T, U, W ) ), ~(
% 0.76/1.23 equidistant( X, Y, T, U ) ), ~( equidistant( X, Z, T, W ) ), equidistant(
% 0.76/1.23 Y, Z, U, W ) ] )
% 0.76/1.23 , clause( 1259, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T,
% 0.76/1.23 W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) )
% 0.76/1.23 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T
% 0.76/1.23 , V1 ) ] )
% 0.76/1.23 , clause( 1260, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, T ) ),
% 0.76/1.23 ~( equidistant( Z, Y, Z, T ) ), =( Y, T ) ] )
% 0.76/1.23 , clause( 1261, [ equidistant( X, Y, Z, insertion( Z, T, X, Y ) ) ] )
% 0.76/1.23 , clause( 1262, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ),
% 0.76/1.23 between( T, insertion( T, U, X, Y ), U ) ] )
% 0.76/1.23 , clause( 1263, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ),
% 0.76/1.23 equidistant( Y, Z, insertion( T, U, X, Y ), U ) ] )
% 0.76/1.23 , clause( 1264, [ ~( between( X, Y, Z ) ), =( Y, insertion( X, Z, X, Y ) )
% 0.76/1.23 ] )
% 0.76/1.23 , clause( 1265, [ ~( equidistant( X, Y, Z, T ) ), =( insertion( U, W, X, Y
% 0.76/1.23 ), insertion( U, W, Z, T ) ) ] )
% 0.76/1.23 , clause( 1266, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T,
% 0.76/1.23 W ) ), ~( equidistant( X, U, Z, W ) ), ~( between( X, Y, U ) ), between(
% 0.76/1.23 Z, T, W ) ] )
% 0.76/1.23 , clause( 1267, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y
% 0.76/1.23 ), between( X, Z, T ), between( X, T, Z ) ] )
% 0.76/1.23 , clause( 1268, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y
% 0.76/1.23 ), between( Y, Z, T ), between( Y, T, Z ) ] )
% 0.76/1.23 , clause( 1269, [ ~( between( X, Y, Z ) ), ~( between( T, Y, Z ) ), =( Y, Z
% 0.76/1.23 ), between( X, T, Y ), between( T, X, Y ) ] )
% 0.76/1.23 , clause( 1270, [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between(
% 0.76/1.23 X, Y, T ), between( X, T, Y ) ] )
% 0.76/1.23 , clause( 1271, [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between(
% 0.76/1.23 Y, T, Z ), between( T, Y, Z ) ] )
% 0.76/1.23 , clause( 1272, [ ~( between( X, Y, Z ) ), ~( between( Y, T, U ) ), ~(
% 0.76/1.23 between( X, U, Z ) ), between( X, T, Z ) ] )
% 0.76/1.23 , clause( 1273, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, Z ) ),
% 0.76/1.23 =( Y, Z ) ] )
% 0.76/1.23 , clause( 1274, [ between( u, w, v ) ] )
% 0.76/1.23 , clause( 1275, [ ~( colinear( u, v, w ) ) ] )
% 0.76/1.23 ] ).
% 0.76/1.23
% 0.76/1.23
% 0.76/1.23
% 0.76/1.23 subsumption(
% 0.76/1.23 clause( 19, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 0.76/1.24 , clause( 1206, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 0.76/1.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.24 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 subsumption(
% 0.76/1.24 clause( 50, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 0.76/1.24 , clause( 1237, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 0.76/1.24 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.24 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 subsumption(
% 0.76/1.24 clause( 83, [ between( u, w, v ) ] )
% 0.76/1.24 , clause( 1274, [ between( u, w, v ) ] )
% 0.76/1.24 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 subsumption(
% 0.76/1.24 clause( 84, [ ~( colinear( u, v, w ) ) ] )
% 0.76/1.24 , clause( 1275, [ ~( colinear( u, v, w ) ) ] )
% 0.76/1.24 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 resolution(
% 0.76/1.24 clause( 1862, [ between( v, w, u ) ] )
% 0.76/1.24 , clause( 50, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 0.76/1.24 , 0, clause( 83, [ between( u, w, v ) ] )
% 0.76/1.24 , 0, substitution( 0, [ :=( X, u ), :=( Y, w ), :=( Z, v )] ),
% 0.76/1.24 substitution( 1, [] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 subsumption(
% 0.76/1.24 clause( 577, [ between( v, w, u ) ] )
% 0.76/1.24 , clause( 1862, [ between( v, w, u ) ] )
% 0.76/1.24 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 resolution(
% 0.76/1.24 clause( 1863, [ colinear( u, v, w ) ] )
% 0.76/1.24 , clause( 19, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 0.76/1.24 , 0, clause( 577, [ between( v, w, u ) ] )
% 0.76/1.24 , 0, substitution( 0, [ :=( X, v ), :=( Y, w ), :=( Z, u )] ),
% 0.76/1.24 substitution( 1, [] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 resolution(
% 0.76/1.24 clause( 1864, [] )
% 0.76/1.24 , clause( 84, [ ~( colinear( u, v, w ) ) ] )
% 0.76/1.24 , 0, clause( 1863, [ colinear( u, v, w ) ] )
% 0.76/1.24 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 subsumption(
% 0.76/1.24 clause( 1185, [] )
% 0.76/1.24 , clause( 1864, [] )
% 0.76/1.24 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 end.
% 0.76/1.24
% 0.76/1.24 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.24
% 0.76/1.24 Memory use:
% 0.76/1.24
% 0.76/1.24 space for terms: 35855
% 0.76/1.24 space for clauses: 65082
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 clauses generated: 5489
% 0.76/1.24 clauses kept: 1186
% 0.76/1.24 clauses selected: 75
% 0.76/1.24 clauses deleted: 0
% 0.76/1.24 clauses inuse deleted: 0
% 0.76/1.24
% 0.76/1.24 subsentry: 40724
% 0.76/1.24 literals s-matched: 35191
% 0.76/1.24 literals matched: 32373
% 0.76/1.24 full subsumption: 29944
% 0.76/1.24
% 0.76/1.24 checksum: 1340645078
% 0.76/1.24
% 0.76/1.24
% 0.76/1.24 Bliksem ended
%------------------------------------------------------------------------------