TSTP Solution File: GEO066-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO066-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 02:51:21 EDT 2022
% Result : Unsatisfiable 0.76s 1.19s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO066-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n007.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 : Fri Jun 17 19:14:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.73/1.11 *** allocated 10000 integers for termspace/termends
% 0.73/1.11 *** allocated 10000 integers for clauses
% 0.73/1.11 *** allocated 10000 integers for justifications
% 0.73/1.11 Bliksem 1.12
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 Automatic Strategy Selection
% 0.73/1.11
% 0.73/1.11 Clauses:
% 0.73/1.11 [
% 0.73/1.11 [ equidistant( X, Y, Y, X ) ],
% 0.73/1.11 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 0.73/1.11 equidistant( Z, T, U, W ) ],
% 0.73/1.11 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.73/1.11 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.73/1.11 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.73/1.11 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.73/1.11 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 0.73/1.11 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.73/1.11 , V0, W, V1 ) ],
% 0.73/1.11 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.73/1.11 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 0.73/1.11 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.73/1.11 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 0.73/1.11 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.73/1.11 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.73/1.11 'lower_dimension_point_3' ) ) ],
% 0.73/1.11 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.73/1.11 'lower_dimension_point_1' ) ) ],
% 0.73/1.11 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.73/1.11 'lower_dimension_point_2' ) ) ],
% 0.73/1.11 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 0.73/1.11 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 0.73/1.11 between( U, X, T ), =( Y, Z ) ],
% 0.73/1.11 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.73/1.11 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.73/1.11 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.73/1.11 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.73/1.11 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.73/1.11 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.73/1.11 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.73/1.11 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.73/1.11 , Y, Z, W, T, U ), U ) ],
% 0.73/1.11 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.73/1.11 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 0.73/1.11 continuous( X, Y, Z, W, T, U ) ) ],
% 0.73/1.11 [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ],
% 0.73/1.11 [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ],
% 0.73/1.11 [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ],
% 0.73/1.11 [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z, X ),
% 0.73/1.11 between( Z, X, Y ) ],
% 0.73/1.11 [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ],
% 0.73/1.11 [ =( insertion( X, Y, Z, T ), extension( extension( Y, X,
% 0.73/1.11 'lower_dimension_point_1', 'lower_dimension_point_2' ), X, Z, T ) ) ]
% 0.73/1.11 ,
% 0.73/1.11 [ equidistant( X, Y, X, Y ) ],
% 0.73/1.11 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ],
% 0.73/1.11 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ],
% 0.73/1.11 [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z ) ],
% 0.73/1.11 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z ) ],
% 0.73/1.11 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X ) ],
% 0.73/1.11 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y ) ],
% 0.73/1.11 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X ) ],
% 0.73/1.11 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U, W ) ),
% 0.73/1.11 equidistant( X, Y, U, W ) ],
% 0.73/1.11 [ =( X, extension( Y, X, Z, Z ) ) ],
% 0.73/1.11 [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ],
% 0.73/1.11 [ between( X, Y, reflection( X, Y ) ) ],
% 0.73/1.11 [ equidistant( X, reflection( Y, X ), Y, X ) ],
% 0.73/1.11 [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ],
% 0.73/1.11 [ =( X, reflection( X, X ) ) ],
% 0.73/1.11 [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ],
% 0.73/1.11 [ equidistant( X, X, Y, Y ) ],
% 0.73/1.11 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.73/1.11 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X, U, Z, W )
% 0.73/1.11 ],
% 0.73/1.11 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~( equidistant( Y, Z
% 0.73/1.11 , Y, T ) ), =( X, Y ), =( Z, T ) ],
% 0.73/1.11 [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, Y, Y, Z ) ) ]
% 0.73/1.11 ,
% 0.73/1.11 [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y ), extension(
% 0.73/1.11 U, W, Z, T ) ), =( U, W ) ],
% 0.73/1.11 [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ), =( X, Y ) ]
% 0.76/1.19 ,
% 0.76/1.19 [ equidistant( X, Y, X, reflection( reflection( Y, X ), X ) ) ],
% 0.76/1.19 [ =( X, reflection( reflection( X, Y ), Y ) ) ],
% 0.76/1.19 [ between( X, Y, Y ) ],
% 0.76/1.19 [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z ) ],
% 0.76/1.19 [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ],
% 0.76/1.19 [ between( X, X, Y ) ],
% 0.76/1.19 [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ) ],
% 0.76/1.19 [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, Z ) ],
% 0.76/1.19 [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ), =( Y, Z )
% 0.76/1.19 ],
% 0.76/1.19 [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X, Y ), =( Y, Z )
% 0.76/1.19 ],
% 0.76/1.19 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, Z ) ]
% 0.76/1.19 ,
% 0.76/1.19 [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( Y, Z, T ) ]
% 0.76/1.19 ,
% 0.76/1.19 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Z, T ),
% 0.76/1.19 =( Y, Z ) ],
% 0.76/1.19 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, T ),
% 0.76/1.19 =( Y, Z ) ],
% 0.76/1.19 [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X, T, Z ) ]
% 0.76/1.19 ,
% 0.76/1.19 [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( X, Y, T ) ]
% 0.76/1.19 ,
% 0.76/1.19 [ ~( =( 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ],
% 0.76/1.19 [ ~( =( 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ],
% 0.76/1.19 [ ~( =( 'lower_dimension_point_1', 'lower_dimension_point_3' ) ) ],
% 0.76/1.19 [ ~( =( X, extension( Y, X, 'lower_dimension_point_1',
% 0.76/1.19 'lower_dimension_point_2' ) ) ) ],
% 0.76/1.19 [ equidistant( X, extension( Y, X, 'lower_dimension_point_1',
% 0.76/1.19 'lower_dimension_point_2' ), Z, extension( T, Z,
% 0.76/1.19 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ],
% 0.76/1.19 [ between( X, Y, extension( X, Y, 'lower_dimension_point_1',
% 0.76/1.19 'lower_dimension_point_2' ) ) ],
% 0.76/1.19 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), ~( between( X, W, T
% 0.76/1.19 ) ), between( W, 'inner_pasch'( U, 'inner_pasch'( X, W, T, U, Z ), X, Y
% 0.76/1.19 , Z ), Z ), between( Y, 'inner_pasch'( U, 'inner_pasch'( X, W, T, U, Z )
% 0.76/1.19 , X, Y, Z ), U ) ],
% 0.76/1.19 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, X, T ) ), ~(
% 0.76/1.19 equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ],
% 0.76/1.19 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, U, Z, W ) ), ~(
% 0.76/1.19 equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) ), ~(
% 0.76/1.19 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T, V1
% 0.76/1.19 ) ],
% 0.76/1.19 [ ~( between( X, Y, Z ) ), ~( between( T, U, W ) ), ~( equidistant( X, Y
% 0.76/1.19 , T, U ) ), ~( equidistant( X, Z, T, W ) ), equidistant( Y, Z, U, W ) ]
% 0.76/1.19 ,
% 0.76/1.19 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.76/1.19 equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) ), ~(
% 0.76/1.19 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T, V1
% 0.76/1.19 ) ],
% 0.76/1.19 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, T ) ), ~(
% 0.76/1.19 equidistant( Z, Y, Z, T ) ), =( Y, T ) ],
% 0.76/1.19 [ equidistant( X, Y, Z, insertion( Z, T, X, Y ) ) ],
% 0.76/1.19 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ), between( T,
% 0.76/1.19 insertion( T, U, X, Y ), U ) ],
% 0.76/1.19 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ), equidistant(
% 0.76/1.19 Y, Z, insertion( T, U, X, Y ), U ) ],
% 0.76/1.19 [ ~( between( X, Y, Z ) ), =( Y, insertion( X, Z, X, Y ) ) ],
% 0.76/1.19 [ ~( equidistant( X, Y, Z, T ) ), =( insertion( U, W, X, Y ), insertion(
% 0.76/1.19 U, W, Z, T ) ) ],
% 0.76/1.19 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.76/1.19 equidistant( X, U, Z, W ) ), ~( between( X, Y, U ) ), between( Z, T, W )
% 0.76/1.19 ],
% 0.76/1.19 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between(
% 0.76/1.19 X, Z, T ), between( X, T, Z ) ],
% 0.76/1.19 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between(
% 0.76/1.19 Y, Z, T ), between( Y, T, Z ) ],
% 0.76/1.19 [ ~( between( X, Y, Z ) ), ~( between( T, Y, Z ) ), =( Y, Z ), between(
% 0.76/1.19 X, T, Y ), between( T, X, Y ) ],
% 0.76/1.19 [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between( X, Y, T ),
% 0.76/1.19 between( X, T, Y ) ],
% 0.76/1.19 [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between( Y, T, Z ),
% 0.76/1.19 between( T, Y, Z ) ],
% 0.76/1.19 [ ~( between( X, Y, Z ) ), ~( between( Y, T, U ) ), ~( between( X, U, Z
% 0.76/1.19 ) ), between( X, T, Z ) ],
% 0.76/1.19 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, Z ) ), =( Y, Z ) ]
% 0.76/1.19 ,
% 0.76/1.19 [ between( v, u, w ) ],
% 0.76/1.19 [ ~( colinear( u, v, w ) ) ]
% 0.76/1.19 ] .
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 percentage equality = 0.184549, percentage horn = 0.776471
% 0.76/1.19 This is a problem with some equality
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 Options Used:
% 0.76/1.19
% 0.76/1.19 useres = 1
% 0.76/1.19 useparamod = 1
% 0.76/1.19 useeqrefl = 1
% 0.76/1.19 useeqfact = 1
% 0.76/1.19 usefactor = 1
% 0.76/1.19 usesimpsplitting = 0
% 0.76/1.19 usesimpdemod = 5
% 0.76/1.19 usesimpres = 3
% 0.76/1.19
% 0.76/1.19 resimpinuse = 1000
% 0.76/1.19 resimpclauses = 20000
% 0.76/1.19 substype = eqrewr
% 0.76/1.19 backwardsubs = 1
% 0.76/1.19 selectoldest = 5
% 0.76/1.19
% 0.76/1.19 litorderings [0] = split
% 0.76/1.19 litorderings [1] = extend the termordering, first sorting on arguments
% 0.76/1.19
% 0.76/1.19 termordering = kbo
% 0.76/1.19
% 0.76/1.19 litapriori = 0
% 0.76/1.19 termapriori = 1
% 0.76/1.19 litaposteriori = 0
% 0.76/1.19 termaposteriori = 0
% 0.76/1.19 demodaposteriori = 0
% 0.76/1.19 ordereqreflfact = 0
% 0.76/1.19
% 0.76/1.19 litselect = negord
% 0.76/1.19
% 0.76/1.19 maxweight = 15
% 0.76/1.19 maxdepth = 30000
% 0.76/1.19 maxlength = 115
% 0.76/1.19 maxnrvars = 195
% 0.76/1.19 excuselevel = 1
% 0.76/1.19 increasemaxweight = 1
% 0.76/1.19
% 0.76/1.19 maxselected = 10000000
% 0.76/1.19 maxnrclauses = 10000000
% 0.76/1.19
% 0.76/1.19 showgenerated = 0
% 0.76/1.19 showkept = 0
% 0.76/1.19 showselected = 0
% 0.76/1.19 showdeleted = 0
% 0.76/1.19 showresimp = 1
% 0.76/1.19 showstatus = 2000
% 0.76/1.19
% 0.76/1.19 prologoutput = 1
% 0.76/1.19 nrgoals = 5000000
% 0.76/1.19 totalproof = 1
% 0.76/1.19
% 0.76/1.19 Symbols occurring in the translation:
% 0.76/1.19
% 0.76/1.19 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.76/1.19 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 0.76/1.19 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 0.76/1.19 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.19 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.19 equidistant [41, 4] (w:1, o:61, a:1, s:1, b:0),
% 0.76/1.19 extension [46, 4] (w:1, o:62, a:1, s:1, b:0),
% 0.76/1.19 between [47, 3] (w:1, o:59, a:1, s:1, b:0),
% 0.76/1.19 'inner_pasch' [53, 5] (w:1, o:64, a:1, s:1, b:0),
% 0.76/1.19 'lower_dimension_point_1' [54, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.76/1.19 'lower_dimension_point_2' [55, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.76/1.19 'lower_dimension_point_3' [56, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.76/1.19 euclid1 [57, 5] (w:1, o:65, a:1, s:1, b:0),
% 0.76/1.19 euclid2 [58, 5] (w:1, o:66, a:1, s:1, b:0),
% 0.76/1.19 continuous [59, 6] (w:1, o:67, a:1, s:1, b:0),
% 0.76/1.19 colinear [60, 3] (w:1, o:60, a:1, s:1, b:0),
% 0.76/1.19 reflection [61, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.76/1.19 insertion [64, 4] (w:1, o:63, a:1, s:1, b:0),
% 0.76/1.19 v [65, 0] (w:1, o:26, a:1, s:1, b:0),
% 0.76/1.19 u [66, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.76/1.19 w [67, 0] (w:1, o:27, a:1, s:1, b:0).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 Starting Search:
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 Bliksems!, er is een bewijs:
% 0.76/1.19 % SZS status Unsatisfiable
% 0.76/1.19 % SZS output start Refutation
% 0.76/1.19
% 0.76/1.19 clause( 20, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 50, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 83, [ between( v, u, w ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 84, [ ~( colinear( u, v, w ) ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 577, [ between( w, u, v ) ] )
% 0.76/1.19 .
% 0.76/1.19 clause( 839, [] )
% 0.76/1.19 .
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 % SZS output end Refutation
% 0.76/1.19 found a proof!
% 0.76/1.19
% 0.76/1.19 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.19
% 0.76/1.19 initialclauses(
% 0.76/1.19 [ clause( 841, [ equidistant( X, Y, Y, X ) ] )
% 0.76/1.19 , clause( 842, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W
% 0.76/1.19 ) ), equidistant( Z, T, U, W ) ] )
% 0.76/1.19 , clause( 843, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 0.76/1.19 , clause( 844, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 0.76/1.19 , clause( 845, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 0.76/1.19 , clause( 846, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W
% 0.76/1.19 ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) )
% 0.76/1.19 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 0.76/1.19 equidistant( U, V0, W, V1 ) ] )
% 0.76/1.19 , clause( 847, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 0.76/1.19 , clause( 848, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.76/1.19 Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 0.76/1.19 , clause( 849, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 0.76/1.19 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 0.76/1.19 , clause( 850, [ ~( between( 'lower_dimension_point_1',
% 0.76/1.19 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 0.76/1.19 , clause( 851, [ ~( between( 'lower_dimension_point_2',
% 0.76/1.19 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 0.76/1.19 , clause( 852, [ ~( between( 'lower_dimension_point_3',
% 0.76/1.19 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.76/1.19 , clause( 853, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z
% 0.76/1.19 ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U,
% 0.76/1.19 X ), between( U, X, T ), =( Y, Z ) ] )
% 0.76/1.19 , clause( 854, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.76/1.19 ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 0.76/1.19 , clause( 855, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.76/1.19 ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 0.76/1.19 , clause( 856, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y
% 0.76/1.19 ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ] )
% 0.76/1.19 , clause( 857, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U
% 0.76/1.19 ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 0.76/1.19 continuous( X, Y, Z, W, T, U ), U ) ] )
% 0.76/1.19 , clause( 858, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U
% 0.76/1.19 ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W
% 0.76/1.19 , X, continuous( X, Y, Z, W, T, U ) ) ] )
% 0.76/1.19 , clause( 859, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 0.76/1.19 , clause( 860, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 0.76/1.19 , clause( 861, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 0.76/1.19 , clause( 862, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y,
% 0.76/1.19 Z, X ), between( Z, X, Y ) ] )
% 0.76/1.19 , clause( 863, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 0.76/1.19 , clause( 864, [ =( insertion( X, Y, Z, T ), extension( extension( Y, X,
% 0.76/1.19 'lower_dimension_point_1', 'lower_dimension_point_2' ), X, Z, T ) ) ] )
% 0.76/1.19 , clause( 865, [ equidistant( X, Y, X, Y ) ] )
% 0.76/1.19 , clause( 866, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y )
% 0.76/1.19 ] )
% 0.76/1.19 , clause( 867, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T )
% 0.76/1.19 ] )
% 0.76/1.19 , clause( 868, [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z )
% 0.76/1.19 ] )
% 0.76/1.19 , clause( 869, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z )
% 0.76/1.19 ] )
% 0.76/1.19 , clause( 870, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X )
% 0.76/1.19 ] )
% 0.76/1.19 , clause( 871, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y )
% 0.76/1.19 ] )
% 0.76/1.19 , clause( 872, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X )
% 0.76/1.19 ] )
% 0.76/1.19 , clause( 873, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U, W
% 0.76/1.19 ) ), equidistant( X, Y, U, W ) ] )
% 0.76/1.19 , clause( 874, [ =( X, extension( Y, X, Z, Z ) ) ] )
% 0.76/1.19 , clause( 875, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ]
% 0.76/1.19 )
% 0.76/1.19 , clause( 876, [ between( X, Y, reflection( X, Y ) ) ] )
% 0.76/1.19 , clause( 877, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 0.76/1.19 , clause( 878, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 0.76/1.19 , clause( 879, [ =( X, reflection( X, X ) ) ] )
% 0.76/1.19 , clause( 880, [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ] )
% 0.76/1.19 , clause( 881, [ equidistant( X, X, Y, Y ) ] )
% 0.76/1.19 , clause( 882, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W
% 0.76/1.19 ) ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X, U
% 0.76/1.19 , Z, W ) ] )
% 0.76/1.19 , clause( 883, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~(
% 0.76/1.19 equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 0.76/1.19 , clause( 884, [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, Y
% 0.76/1.19 , Y, Z ) ) ] )
% 0.76/1.19 , clause( 885, [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y )
% 0.76/1.19 , extension( U, W, Z, T ) ), =( U, W ) ] )
% 0.76/1.19 , clause( 886, [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ), =(
% 0.76/1.19 X, Y ) ] )
% 0.76/1.19 , clause( 887, [ equidistant( X, Y, X, reflection( reflection( Y, X ), X )
% 0.76/1.19 ) ] )
% 0.76/1.19 , clause( 888, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 0.76/1.19 , clause( 889, [ between( X, Y, Y ) ] )
% 0.76/1.19 , clause( 890, [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z
% 0.76/1.19 ) ] )
% 0.76/1.19 , clause( 891, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 0.76/1.19 , clause( 892, [ between( X, X, Y ) ] )
% 0.76/1.19 , clause( 893, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y
% 0.76/1.19 ) ] )
% 0.76/1.19 , clause( 894, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, Z
% 0.76/1.19 ) ] )
% 0.76/1.19 , clause( 895, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y
% 0.76/1.19 ), =( Y, Z ) ] )
% 0.76/1.19 , clause( 896, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X, Y
% 0.76/1.19 ), =( Y, Z ) ] )
% 0.76/1.19 , clause( 897, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between(
% 0.76/1.19 X, Y, Z ) ] )
% 0.76/1.19 , clause( 898, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between(
% 0.76/1.19 Y, Z, T ) ] )
% 0.76/1.19 , clause( 899, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between(
% 0.76/1.19 X, Z, T ), =( Y, Z ) ] )
% 0.76/1.19 , clause( 900, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between(
% 0.76/1.19 X, Y, T ), =( Y, Z ) ] )
% 0.76/1.19 , clause( 901, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between(
% 0.76/1.19 X, T, Z ) ] )
% 0.76/1.19 , clause( 902, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between(
% 0.76/1.19 X, Y, T ) ] )
% 0.76/1.19 , clause( 903, [ ~( =( 'lower_dimension_point_1', 'lower_dimension_point_2'
% 0.76/1.19 ) ) ] )
% 0.76/1.19 , clause( 904, [ ~( =( 'lower_dimension_point_2', 'lower_dimension_point_3'
% 0.76/1.19 ) ) ] )
% 0.76/1.19 , clause( 905, [ ~( =( 'lower_dimension_point_1', 'lower_dimension_point_3'
% 0.76/1.19 ) ) ] )
% 0.76/1.19 , clause( 906, [ ~( =( X, extension( Y, X, 'lower_dimension_point_1',
% 0.76/1.19 'lower_dimension_point_2' ) ) ) ] )
% 0.76/1.19 , clause( 907, [ equidistant( X, extension( Y, X, 'lower_dimension_point_1'
% 0.76/1.19 , 'lower_dimension_point_2' ), Z, extension( T, Z,
% 0.76/1.19 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 0.76/1.19 , clause( 908, [ between( X, Y, extension( X, Y, 'lower_dimension_point_1'
% 0.76/1.19 , 'lower_dimension_point_2' ) ) ] )
% 0.76/1.19 , clause( 909, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), ~(
% 0.76/1.19 between( X, W, T ) ), between( W, 'inner_pasch'( U, 'inner_pasch'( X, W,
% 0.76/1.19 T, U, Z ), X, Y, Z ), Z ), between( Y, 'inner_pasch'( U, 'inner_pasch'( X
% 0.76/1.19 , W, T, U, Z ), X, Y, Z ), U ) ] )
% 0.76/1.19 , clause( 910, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, X, T ) ),
% 0.76/1.19 ~( equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 0.76/1.19 , clause( 911, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, U, Z, W
% 0.76/1.19 ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) )
% 0.76/1.19 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T
% 0.76/1.19 , V1 ) ] )
% 0.76/1.19 , clause( 912, [ ~( between( X, Y, Z ) ), ~( between( T, U, W ) ), ~(
% 0.76/1.19 equidistant( X, Y, T, U ) ), ~( equidistant( X, Z, T, W ) ), equidistant(
% 0.76/1.19 Y, Z, U, W ) ] )
% 0.76/1.19 , clause( 913, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W
% 0.76/1.19 ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) )
% 0.76/1.19 , ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T
% 0.76/1.19 , V1 ) ] )
% 0.76/1.19 , clause( 914, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, T ) ),
% 0.76/1.19 ~( equidistant( Z, Y, Z, T ) ), =( Y, T ) ] )
% 0.76/1.19 , clause( 915, [ equidistant( X, Y, Z, insertion( Z, T, X, Y ) ) ] )
% 0.76/1.19 , clause( 916, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ),
% 0.76/1.19 between( T, insertion( T, U, X, Y ), U ) ] )
% 0.76/1.19 , clause( 917, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ),
% 0.76/1.19 equidistant( Y, Z, insertion( T, U, X, Y ), U ) ] )
% 0.76/1.19 , clause( 918, [ ~( between( X, Y, Z ) ), =( Y, insertion( X, Z, X, Y ) ) ]
% 0.76/1.19 )
% 0.76/1.19 , clause( 919, [ ~( equidistant( X, Y, Z, T ) ), =( insertion( U, W, X, Y )
% 0.76/1.19 , insertion( U, W, Z, T ) ) ] )
% 0.76/1.19 , clause( 920, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W
% 0.76/1.19 ) ), ~( equidistant( X, U, Z, W ) ), ~( between( X, Y, U ) ), between( Z
% 0.76/1.19 , T, W ) ] )
% 0.76/1.19 , clause( 921, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y
% 0.76/1.19 ), between( X, Z, T ), between( X, T, Z ) ] )
% 0.76/1.19 , clause( 922, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y
% 0.76/1.19 ), between( Y, Z, T ), between( Y, T, Z ) ] )
% 0.76/1.19 , clause( 923, [ ~( between( X, Y, Z ) ), ~( between( T, Y, Z ) ), =( Y, Z
% 0.76/1.19 ), between( X, T, Y ), between( T, X, Y ) ] )
% 0.76/1.19 , clause( 924, [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between(
% 0.76/1.19 X, Y, T ), between( X, T, Y ) ] )
% 0.76/1.19 , clause( 925, [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between(
% 0.76/1.19 Y, T, Z ), between( T, Y, Z ) ] )
% 0.76/1.19 , clause( 926, [ ~( between( X, Y, Z ) ), ~( between( Y, T, U ) ), ~(
% 0.76/1.19 between( X, U, Z ) ), between( X, T, Z ) ] )
% 0.76/1.19 , clause( 927, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, Z ) ),
% 0.76/1.19 =( Y, Z ) ] )
% 0.76/1.19 , clause( 928, [ between( v, u, w ) ] )
% 0.76/1.19 , clause( 929, [ ~( colinear( u, v, w ) ) ] )
% 0.76/1.19 ] ).
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 subsumption(
% 0.76/1.19 clause( 20, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 0.76/1.19 , clause( 861, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 0.76/1.19 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.20 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.76/1.20
% 0.76/1.20
% 0.76/1.20 subsumption(
% 0.76/1.20 clause( 50, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 0.76/1.20 , clause( 891, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 0.76/1.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.76/1.20 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 0.76/1.20
% 0.76/1.20
% 0.76/1.20 subsumption(
% 0.76/1.20 clause( 83, [ between( v, u, w ) ] )
% 0.76/1.20 , clause( 928, [ between( v, u, w ) ] )
% 0.76/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.20
% 0.76/1.20
% 0.76/1.20 subsumption(
% 0.76/1.20 clause( 84, [ ~( colinear( u, v, w ) ) ] )
% 0.76/1.20 , clause( 929, [ ~( colinear( u, v, w ) ) ] )
% 0.76/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.20
% 0.76/1.20
% 0.76/1.20 resolution(
% 0.76/1.20 clause( 1516, [ between( w, u, v ) ] )
% 0.76/1.20 , clause( 50, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 0.76/1.20 , 0, clause( 83, [ between( v, u, w ) ] )
% 0.76/1.20 , 0, substitution( 0, [ :=( X, v ), :=( Y, u ), :=( Z, w )] ),
% 0.76/1.20 substitution( 1, [] )).
% 0.76/1.20
% 0.76/1.20
% 0.76/1.20 subsumption(
% 0.76/1.20 clause( 577, [ between( w, u, v ) ] )
% 0.76/1.20 , clause( 1516, [ between( w, u, v ) ] )
% 0.76/1.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.76/1.20
% 0.76/1.20
% 0.76/1.20 resolution(
% 0.76/1.20 clause( 1517, [ colinear( u, v, w ) ] )
% 0.76/1.20 , clause( 20, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 0.76/1.20 , 0, clause( 577, [ between( w, u, v ) ] )
% 0.76/1.20 , 0, substitution( 0, [ :=( X, w ), :=( Y, u ), :=( Z, v )] ),
% 0.76/1.20 substitution( 1, [] )).
% 0.76/1.20
% 0.76/1.20
% 0.76/1.20 resolution(
% 0.76/1.20 clause( 1518, [] )
% 0.76/1.20 , clause( 84, [ ~( colinear( u, v, w ) ) ] )
% 0.76/1.20 , 0, clause( 1517, [ colinear( u, v, w ) ] )
% 0.76/1.20 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.76/1.20
% 0.76/1.20
% 0.76/1.20 subsumption(
% 0.76/1.20 clause( 839, [] )
% 0.76/1.20 , clause( 1518, [] )
% 0.76/1.20 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.76/1.20
% 0.76/1.20
% 0.76/1.20 end.
% 0.76/1.20
% 0.76/1.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.76/1.20
% 0.76/1.20 Memory use:
% 0.76/1.20
% 0.76/1.20 space for terms: 23318
% 0.76/1.20 space for clauses: 43561
% 0.76/1.20
% 0.76/1.20
% 0.76/1.20 clauses generated: 3784
% 0.76/1.20 clauses kept: 840
% 0.76/1.20 clauses selected: 58
% 0.76/1.20 clauses deleted: 0
% 0.76/1.20 clauses inuse deleted: 0
% 0.76/1.20
% 0.76/1.20 subsentry: 25849
% 0.76/1.20 literals s-matched: 21846
% 0.76/1.20 literals matched: 19767
% 0.76/1.20 full subsumption: 17799
% 0.76/1.20
% 0.76/1.20 checksum: 1319227646
% 0.76/1.20
% 0.76/1.20
% 0.76/1.20 Bliksem ended
%------------------------------------------------------------------------------