TSTP Solution File: GEO067-3 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO067-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.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 3.33s 3.76s
% Output : Refutation 3.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO067-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n006.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Sat Jun 18 07:39:10 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.79/1.19 *** allocated 10000 integers for termspace/termends
% 0.79/1.19 *** allocated 10000 integers for clauses
% 0.79/1.19 *** allocated 10000 integers for justifications
% 0.79/1.19 Bliksem 1.12
% 0.79/1.19
% 0.79/1.19
% 0.79/1.19 Automatic Strategy Selection
% 0.79/1.19
% 0.79/1.19 Clauses:
% 0.79/1.19 [
% 0.79/1.19 [ equidistant( X, Y, Y, X ) ],
% 0.79/1.19 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 0.79/1.19 equidistant( Z, T, U, W ) ],
% 0.79/1.19 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 0.79/1.19 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 0.79/1.19 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 0.79/1.19 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.79/1.19 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 0.79/1.19 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 0.79/1.19 , V0, W, V1 ) ],
% 0.79/1.19 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 0.79/1.19 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 0.79/1.19 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 0.79/1.19 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 0.79/1.19 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 0.79/1.19 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 0.79/1.19 'lower_dimension_point_3' ) ) ],
% 0.79/1.19 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 0.79/1.19 'lower_dimension_point_1' ) ) ],
% 0.79/1.19 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 0.79/1.19 'lower_dimension_point_2' ) ) ],
% 0.79/1.19 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 0.79/1.19 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 0.79/1.19 between( U, X, T ), =( Y, Z ) ],
% 0.79/1.19 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.79/1.19 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 0.79/1.19 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.79/1.19 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 0.79/1.19 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 0.79/1.19 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 0.79/1.19 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.79/1.19 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 0.79/1.19 , Y, Z, W, T, U ), U ) ],
% 0.79/1.19 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 0.79/1.19 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 0.79/1.19 continuous( X, Y, Z, W, T, U ) ) ],
% 0.79/1.19 [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ],
% 0.79/1.19 [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ],
% 0.79/1.19 [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ],
% 0.79/1.19 [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z, X ),
% 0.79/1.19 between( Z, X, Y ) ],
% 0.79/1.19 [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ],
% 0.79/1.19 [ =( insertion( X, Y, Z, T ), extension( extension( Y, X,
% 0.79/1.19 'lower_dimension_point_1', 'lower_dimension_point_2' ), X, Z, T ) ) ]
% 0.79/1.19 ,
% 0.79/1.19 [ equidistant( X, Y, X, Y ) ],
% 0.79/1.19 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ],
% 0.79/1.19 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ],
% 0.79/1.19 [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z ) ],
% 0.79/1.19 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z ) ],
% 0.79/1.19 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X ) ],
% 0.79/1.19 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y ) ],
% 0.79/1.19 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X ) ],
% 0.79/1.19 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U, W ) ),
% 0.79/1.19 equidistant( X, Y, U, W ) ],
% 0.79/1.19 [ =( X, extension( Y, X, Z, Z ) ) ],
% 0.79/1.19 [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ],
% 0.79/1.19 [ between( X, Y, reflection( X, Y ) ) ],
% 0.79/1.19 [ equidistant( X, reflection( Y, X ), Y, X ) ],
% 0.79/1.19 [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ],
% 0.79/1.19 [ =( X, reflection( X, X ) ) ],
% 0.79/1.19 [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ],
% 0.79/1.19 [ equidistant( X, X, Y, Y ) ],
% 0.79/1.19 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 0.79/1.19 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X, U, Z, W )
% 0.79/1.19 ],
% 0.79/1.19 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~( equidistant( Y, Z
% 0.79/1.19 , Y, T ) ), =( X, Y ), =( Z, T ) ],
% 0.79/1.19 [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, Y, Y, Z ) ) ]
% 0.79/1.19 ,
% 0.79/1.19 [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y ), extension(
% 0.79/1.19 U, W, Z, T ) ), =( U, W ) ],
% 0.79/1.19 [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ), =( X, Y ) ]
% 3.33/3.76 ,
% 3.33/3.76 [ equidistant( X, Y, X, reflection( reflection( Y, X ), X ) ) ],
% 3.33/3.76 [ =( X, reflection( reflection( X, Y ), Y ) ) ],
% 3.33/3.76 [ between( X, Y, Y ) ],
% 3.33/3.76 [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z ) ],
% 3.33/3.76 [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ],
% 3.33/3.76 [ between( X, X, Y ) ],
% 3.33/3.76 [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ) ],
% 3.33/3.76 [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, Z ) ],
% 3.33/3.76 [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ), =( Y, Z )
% 3.33/3.76 ],
% 3.33/3.76 [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X, Y ), =( Y, Z )
% 3.33/3.76 ],
% 3.33/3.76 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, Z ) ]
% 3.33/3.76 ,
% 3.33/3.76 [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( Y, Z, T ) ]
% 3.33/3.76 ,
% 3.33/3.76 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Z, T ),
% 3.33/3.76 =( Y, Z ) ],
% 3.33/3.76 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, T ),
% 3.33/3.76 =( Y, Z ) ],
% 3.33/3.76 [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), between( X, T, Z ) ]
% 3.33/3.76 ,
% 3.33/3.76 [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( X, Y, T ) ]
% 3.33/3.76 ,
% 3.33/3.76 [ ~( =( 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ],
% 3.33/3.76 [ ~( =( 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ],
% 3.33/3.76 [ ~( =( 'lower_dimension_point_1', 'lower_dimension_point_3' ) ) ],
% 3.33/3.76 [ ~( =( X, extension( Y, X, 'lower_dimension_point_1',
% 3.33/3.76 'lower_dimension_point_2' ) ) ) ],
% 3.33/3.76 [ equidistant( X, extension( Y, X, 'lower_dimension_point_1',
% 3.33/3.76 'lower_dimension_point_2' ), Z, extension( T, Z,
% 3.33/3.76 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ],
% 3.33/3.76 [ between( X, Y, extension( X, Y, 'lower_dimension_point_1',
% 3.33/3.76 'lower_dimension_point_2' ) ) ],
% 3.33/3.76 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), ~( between( X, W, T
% 3.33/3.76 ) ), between( W, 'inner_pasch'( U, 'inner_pasch'( X, W, T, U, Z ), X, Y
% 3.33/3.76 , Z ), Z ), between( Y, 'inner_pasch'( U, 'inner_pasch'( X, W, T, U, Z )
% 3.33/3.76 , X, Y, Z ), U ) ],
% 3.33/3.76 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, X, T ) ), ~(
% 3.33/3.76 equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ],
% 3.33/3.76 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, U, Z, W ) ), ~(
% 3.33/3.76 equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) ), ~(
% 3.33/3.76 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T, V1
% 3.33/3.76 ) ],
% 3.33/3.76 [ ~( between( X, Y, Z ) ), ~( between( T, U, W ) ), ~( equidistant( X, Y
% 3.33/3.76 , T, U ) ), ~( equidistant( X, Z, T, W ) ), equidistant( Y, Z, U, W ) ]
% 3.33/3.76 ,
% 3.33/3.76 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 3.33/3.76 equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 ) ), ~(
% 3.33/3.76 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0, T, V1
% 3.33/3.76 ) ],
% 3.33/3.76 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, T ) ), ~(
% 3.33/3.76 equidistant( Z, Y, Z, T ) ), =( Y, T ) ],
% 3.33/3.76 [ equidistant( X, Y, Z, insertion( Z, T, X, Y ) ) ],
% 3.33/3.76 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ), between( T,
% 3.33/3.76 insertion( T, U, X, Y ), U ) ],
% 3.33/3.76 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) ), equidistant(
% 3.33/3.76 Y, Z, insertion( T, U, X, Y ), U ) ],
% 3.33/3.76 [ ~( between( X, Y, Z ) ), =( Y, insertion( X, Z, X, Y ) ) ],
% 3.33/3.76 [ ~( equidistant( X, Y, Z, T ) ), =( insertion( U, W, X, Y ), insertion(
% 3.33/3.76 U, W, Z, T ) ) ],
% 3.33/3.76 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 3.33/3.76 equidistant( X, U, Z, W ) ), ~( between( X, Y, U ) ), between( Z, T, W )
% 3.33/3.76 ],
% 3.33/3.76 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between(
% 3.33/3.76 X, Z, T ), between( X, T, Z ) ],
% 3.33/3.76 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X, Y ), between(
% 3.33/3.76 Y, Z, T ), between( Y, T, Z ) ],
% 3.33/3.76 [ ~( between( X, Y, Z ) ), ~( between( T, Y, Z ) ), =( Y, Z ), between(
% 3.33/3.76 X, T, Y ), between( T, X, Y ) ],
% 3.33/3.76 [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between( X, Y, T ),
% 3.33/3.76 between( X, T, Y ) ],
% 3.33/3.76 [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ), between( Y, T, Z ),
% 3.33/3.76 between( T, Y, Z ) ],
% 3.33/3.76 [ ~( between( X, Y, Z ) ), ~( between( Y, T, U ) ), ~( between( X, U, Z
% 3.33/3.76 ) ), between( X, T, Z ) ],
% 3.33/3.76 [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, Z ) ), =( Y, Z ) ]
% 3.33/3.76 ,
% 3.33/3.76 [ ~( between( X, Y, Z ) ), colinear( Z, Y, X ) ],
% 3.33/3.76 [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ],
% 3.33/3.76 [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ],
% 3.33/3.76 [ ~( colinear( X, Y, Z ) ), colinear( Z, Y, X ) ],
% 3.33/3.76 [ ~( colinear( X, Y, Z ) ), colinear( Y, Z, X ) ],
% 3.33/3.76 [ ~( colinear( X, Y, Z ) ), colinear( X, Z, Y ) ],
% 3.33/3.76 [ ~( colinear( X, Y, Z ) ), colinear( Z, X, Y ) ],
% 3.33/3.76 [ ~( colinear( X, Y, Z ) ), colinear( Y, X, Z ) ],
% 3.33/3.76 [ ~( colinear( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 3.33/3.76 'lower_dimension_point_3' ) ) ],
% 3.33/3.76 [ ~( colinear( x, x, y ) ), ~( colinear( x, y, x ) ), ~( colinear( y, x
% 3.33/3.76 , x ) ), =( x, y ) ],
% 3.33/3.76 [ ~( colinear( x, x, y ) ), ~( colinear( x, y, x ) ), ~( colinear( y, x
% 3.33/3.76 , x ) ), ~( colinear( x, z, y ) ) ]
% 3.33/3.76 ] .
% 3.33/3.76
% 3.33/3.76
% 3.33/3.76 percentage equality = 0.171875, percentage horn = 0.797872
% 3.33/3.76 This is a problem with some equality
% 3.33/3.76
% 3.33/3.76
% 3.33/3.76
% 3.33/3.76 Options Used:
% 3.33/3.76
% 3.33/3.76 useres = 1
% 3.33/3.76 useparamod = 1
% 3.33/3.76 useeqrefl = 1
% 3.33/3.76 useeqfact = 1
% 3.33/3.76 usefactor = 1
% 3.33/3.76 usesimpsplitting = 0
% 3.33/3.76 usesimpdemod = 5
% 3.33/3.76 usesimpres = 3
% 3.33/3.76
% 3.33/3.76 resimpinuse = 1000
% 3.33/3.76 resimpclauses = 20000
% 3.33/3.76 substype = eqrewr
% 3.33/3.76 backwardsubs = 1
% 3.33/3.76 selectoldest = 5
% 3.33/3.76
% 3.33/3.76 litorderings [0] = split
% 3.33/3.76 litorderings [1] = extend the termordering, first sorting on arguments
% 3.33/3.76
% 3.33/3.76 termordering = kbo
% 3.33/3.76
% 3.33/3.76 litapriori = 0
% 3.33/3.76 termapriori = 1
% 3.33/3.76 litaposteriori = 0
% 3.33/3.76 termaposteriori = 0
% 3.33/3.76 demodaposteriori = 0
% 3.33/3.76 ordereqreflfact = 0
% 3.33/3.76
% 3.33/3.76 litselect = negord
% 3.33/3.76
% 3.33/3.76 maxweight = 15
% 3.33/3.76 maxdepth = 30000
% 3.33/3.76 maxlength = 115
% 3.33/3.76 maxnrvars = 195
% 3.33/3.76 excuselevel = 1
% 3.33/3.76 increasemaxweight = 1
% 3.33/3.76
% 3.33/3.76 maxselected = 10000000
% 3.33/3.76 maxnrclauses = 10000000
% 3.33/3.76
% 3.33/3.76 showgenerated = 0
% 3.33/3.76 showkept = 0
% 3.33/3.76 showselected = 0
% 3.33/3.76 showdeleted = 0
% 3.33/3.76 showresimp = 1
% 3.33/3.76 showstatus = 2000
% 3.33/3.76
% 3.33/3.76 prologoutput = 1
% 3.33/3.76 nrgoals = 5000000
% 3.33/3.76 totalproof = 1
% 3.33/3.76
% 3.33/3.76 Symbols occurring in the translation:
% 3.33/3.76
% 3.33/3.76 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.33/3.76 . [1, 2] (w:1, o:33, a:1, s:1, b:0),
% 3.33/3.76 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 3.33/3.76 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.33/3.76 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.33/3.76 equidistant [41, 4] (w:1, o:61, a:1, s:1, b:0),
% 3.33/3.76 extension [46, 4] (w:1, o:62, a:1, s:1, b:0),
% 3.33/3.76 between [47, 3] (w:1, o:59, a:1, s:1, b:0),
% 3.33/3.76 'inner_pasch' [53, 5] (w:1, o:64, a:1, s:1, b:0),
% 3.33/3.76 'lower_dimension_point_1' [54, 0] (w:1, o:22, a:1, s:1, b:0),
% 3.33/3.76 'lower_dimension_point_2' [55, 0] (w:1, o:23, a:1, s:1, b:0),
% 3.33/3.76 'lower_dimension_point_3' [56, 0] (w:1, o:24, a:1, s:1, b:0),
% 3.33/3.76 euclid1 [57, 5] (w:1, o:65, a:1, s:1, b:0),
% 3.33/3.76 euclid2 [58, 5] (w:1, o:66, a:1, s:1, b:0),
% 3.33/3.76 continuous [59, 6] (w:1, o:67, a:1, s:1, b:0),
% 3.33/3.76 colinear [60, 3] (w:1, o:60, a:1, s:1, b:0),
% 3.33/3.76 reflection [61, 2] (w:1, o:58, a:1, s:1, b:0),
% 3.33/3.76 insertion [64, 4] (w:1, o:63, a:1, s:1, b:0),
% 3.33/3.76 x [65, 0] (w:1, o:25, a:1, s:1, b:0),
% 3.33/3.76 y [66, 0] (w:1, o:26, a:1, s:1, b:0),
% 3.33/3.76 z [67, 0] (w:1, o:27, a:1, s:1, b:0).
% 3.33/3.76
% 3.33/3.76
% 3.33/3.76 Starting Search:
% 3.33/3.76
% 3.33/3.76 Resimplifying inuse:
% 3.33/3.76 Done
% 3.33/3.76
% 3.33/3.76
% 3.33/3.76 Intermediate Status:
% 3.33/3.76 Generated: 9248
% 3.33/3.76 Kept: 2001
% 3.33/3.76 Inuse: 136
% 3.33/3.76 Deleted: 0
% 3.33/3.76 Deletedinuse: 0
% 3.33/3.76
% 3.33/3.76 Resimplifying inuse:
% 3.33/3.76 Done
% 3.33/3.76
% 3.33/3.76 Resimplifying inuse:
% 3.33/3.76 Done
% 3.33/3.76
% 3.33/3.76
% 3.33/3.76 Intermediate Status:
% 3.33/3.76 Generated: 18766
% 3.33/3.76 Kept: 4010
% 3.33/3.76 Inuse: 177
% 3.33/3.76 Deleted: 0
% 3.33/3.76 Deletedinuse: 0
% 3.33/3.76
% 3.33/3.76 Resimplifying inuse:
% 3.33/3.76 Done
% 3.33/3.76
% 3.33/3.76 Resimplifying inuse:
% 3.33/3.76 Done
% 3.33/3.76
% 3.33/3.76
% 3.33/3.76 Intermediate Status:
% 3.33/3.76 Generated: 28222
% 3.33/3.76 Kept: 6107
% 3.33/3.76 Inuse: 210
% 3.33/3.76 Deleted: 1
% 3.33/3.76 Deletedinuse: 0
% 3.33/3.76
% 3.33/3.76 Resimplifying inuse:
% 3.33/3.76 Done
% 3.33/3.76
% 3.33/3.76 Resimplifying inuse:
% 3.33/3.76 Done
% 3.33/3.76
% 3.33/3.76
% 3.33/3.76 Intermediate Status:
% 3.33/3.76 Generated: 41676
% 3.33/3.76 Kept: 8121
% 3.33/3.76 Inuse: 244
% 3.33/3.76 Deleted: 1
% 3.33/3.76 Deletedinuse: 0
% 3.33/3.76
% 3.33/3.76 Resimplifying inuse:
% 3.33/3.76 Done
% 3.33/3.76
% 3.33/3.76 Resimplifying inuse:
% 3.33/3.76 Done
% 3.33/3.76
% 3.33/3.76
% 3.33/3.76 Intermediate Status:
% 3.33/3.76 Generated: 54795
% 3.33/3.76 Kept: 10125
% 3.33/3.76 Inuse: 284
% 3.33/3.76 Deleted: 1
% 3.33/3.76 Deletedinuse: 0
% 3.33/3.76
% 3.33/3.76 Resimplifying inuse:
% 3.33/3.76 Done
% 3.33/3.76
% 3.33/3.76 Resimplifying inuse:
% 3.33/3.76 Done
% 3.33/3.76
% 3.33/3.76
% 3.33/3.76 Intermediate Status:
% 3.33/3.76 Generated: 72106
% 3.33/3.76 Kept: 12138
% 3.33/3.76 Inuse: 319
% 3.33/3.76 Deleted: 1
% 3.33/3.76 Deletedinuse: 0
% 3.33/3.76
% 3.33/3.76 Resimplifying inuse:
% 3.33/3.76 Done
% 3.33/3.76
% 3.33/3.76
% 3.33/3.76 Bliksems!, er is een bewijs:
% 3.33/3.76 % SZS status Unsatisfiable
% 3.33/3.76 % SZS output start Refutation
% 3.33/3.76
% 3.33/3.76 clause( 48, [ between( X, Y, Y ) ] )
% 3.33/3.76 .
% 3.33/3.76 clause( 85, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 3.33/3.76 .
% 3.33/3.76 clause( 86, [ ~( colinear( X, Y, Z ) ), colinear( Z, Y, X ) ] )
% 3.33/3.76 .
% 3.33/3.76 clause( 87, [ ~( colinear( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 3.33/3.76 .
% 3.33/3.76 clause( 89, [ ~( colinear( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 3.33/3.76 .
% 3.33/3.76 clause( 92, [ ~( colinear( x, y, x ) ), ~( colinear( y, x, x ) ), =( y, x )
% 3.33/3.76 ] )
% 3.33/3.76 .
% 3.33/3.76 clause( 93, [ ~( colinear( y, x, x ) ), ~( colinear( x, x, x ) ), ~(
% 3.33/3.76 colinear( x, z, x ) ) ] )
% 3.33/3.76 .
% 3.33/3.76 clause( 802, [ colinear( X, Y, X ) ] )
% 3.33/3.76 .
% 3.33/3.76 clause( 917, [ colinear( X, Y, Y ) ] )
% 3.33/3.76 .
% 3.33/3.76 clause( 13125, [ =( y, x ) ] )
% 3.33/3.76 .
% 3.33/3.76 clause( 13223, [ ~( colinear( x, z, x ) ) ] )
% 3.33/3.76 .
% 3.33/3.76 clause( 13224, [] )
% 3.33/3.76 .
% 3.33/3.76
% 3.33/3.76
% 3.33/3.76 % SZS output end Refutation
% 3.33/3.76 found a proof!
% 3.33/3.76
% 3.33/3.76 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.33/3.76
% 3.33/3.76 initialclauses(
% 3.33/3.76 [ clause( 13226, [ equidistant( X, Y, Y, X ) ] )
% 3.33/3.76 , clause( 13227, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 3.33/3.76 , W ) ), equidistant( Z, T, U, W ) ] )
% 3.33/3.76 , clause( 13228, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 3.33/3.76 , clause( 13229, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 3.33/3.76 , clause( 13230, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 3.33/3.76 , clause( 13231, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 3.33/3.76 , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 3.33/3.76 ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 3.33/3.76 equidistant( U, V0, W, V1 ) ] )
% 3.33/3.76 , clause( 13232, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 3.33/3.76 , clause( 13233, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 3.33/3.76 between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 3.33/3.76 , clause( 13234, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 3.33/3.76 between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 3.33/3.76 , clause( 13235, [ ~( between( 'lower_dimension_point_1',
% 3.33/3.76 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 3.33/3.76 , clause( 13236, [ ~( between( 'lower_dimension_point_2',
% 3.33/3.76 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 3.33/3.76 , clause( 13237, [ ~( between( 'lower_dimension_point_3',
% 3.33/3.76 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 3.33/3.76 , clause( 13238, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 3.33/3.76 , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T,
% 3.33/3.76 U, X ), between( U, X, T ), =( Y, Z ) ] )
% 3.33/3.76 , clause( 13239, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 3.33/3.76 Y ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 3.33/3.76 , clause( 13240, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 3.33/3.76 Y ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 3.33/3.76 , clause( 13241, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 3.33/3.76 Y ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ]
% 3.33/3.76 )
% 3.33/3.76 , clause( 13242, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 3.33/3.76 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 3.33/3.76 continuous( X, Y, Z, W, T, U ), U ) ] )
% 3.33/3.76 , clause( 13243, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 3.33/3.76 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 3.33/3.76 , W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 3.33/3.76 , clause( 13244, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 3.33/3.76 , clause( 13245, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 3.33/3.76 , clause( 13246, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 3.33/3.76 , clause( 13247, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 3.33/3.76 , Z, X ), between( Z, X, Y ) ] )
% 3.33/3.76 , clause( 13248, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 3.33/3.76 , clause( 13249, [ =( insertion( X, Y, Z, T ), extension( extension( Y, X,
% 3.33/3.76 'lower_dimension_point_1', 'lower_dimension_point_2' ), X, Z, T ) ) ] )
% 3.33/3.76 , clause( 13250, [ equidistant( X, Y, X, Y ) ] )
% 3.33/3.76 , clause( 13251, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y
% 3.33/3.76 ) ] )
% 3.33/3.76 , clause( 13252, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T
% 3.33/3.76 ) ] )
% 3.33/3.76 , clause( 13253, [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z
% 3.33/3.76 ) ] )
% 3.33/3.76 , clause( 13254, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z
% 3.33/3.76 ) ] )
% 3.33/3.76 , clause( 13255, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X
% 3.33/3.76 ) ] )
% 3.33/3.76 , clause( 13256, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y
% 3.33/3.76 ) ] )
% 3.33/3.76 , clause( 13257, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X
% 3.33/3.76 ) ] )
% 3.33/3.76 , clause( 13258, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U
% 3.33/3.76 , W ) ), equidistant( X, Y, U, W ) ] )
% 3.33/3.76 , clause( 13259, [ =( X, extension( Y, X, Z, Z ) ) ] )
% 3.33/3.76 , clause( 13260, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X )
% 3.33/3.76 ] )
% 3.33/3.76 , clause( 13261, [ between( X, Y, reflection( X, Y ) ) ] )
% 3.33/3.76 , clause( 13262, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 3.33/3.76 , clause( 13263, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 3.33/3.76 , clause( 13264, [ =( X, reflection( X, X ) ) ] )
% 3.33/3.76 , clause( 13265, [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ] )
% 3.33/3.76 , clause( 13266, [ equidistant( X, X, Y, Y ) ] )
% 3.33/3.76 , clause( 13267, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 3.33/3.76 , W ) ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X
% 3.33/3.76 , U, Z, W ) ] )
% 3.33/3.76 , clause( 13268, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~(
% 3.33/3.76 equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 3.33/3.76 , clause( 13269, [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X,
% 3.33/3.76 Y, Y, Z ) ) ] )
% 3.33/3.76 , clause( 13270, [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y
% 3.33/3.76 ), extension( U, W, Z, T ) ), =( U, W ) ] )
% 3.33/3.76 , clause( 13271, [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ),
% 3.33/3.76 =( X, Y ) ] )
% 3.33/3.76 , clause( 13272, [ equidistant( X, Y, X, reflection( reflection( Y, X ), X
% 3.33/3.76 ) ) ] )
% 3.33/3.76 , clause( 13273, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 3.33/3.76 , clause( 13274, [ between( X, Y, Y ) ] )
% 3.33/3.76 , clause( 13275, [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y,
% 3.33/3.76 Z ) ] )
% 3.33/3.76 , clause( 13276, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 3.33/3.76 , clause( 13277, [ between( X, X, Y ) ] )
% 3.33/3.76 , clause( 13278, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X,
% 3.33/3.76 Y ) ] )
% 3.33/3.76 , clause( 13279, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y,
% 3.33/3.76 Z ) ] )
% 3.33/3.76 , clause( 13280, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X,
% 3.33/3.76 Y ), =( Y, Z ) ] )
% 3.33/3.76 , clause( 13281, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X,
% 3.33/3.76 Y ), =( Y, Z ) ] )
% 3.33/3.76 , clause( 13282, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ),
% 3.33/3.76 between( X, Y, Z ) ] )
% 3.33/3.76 , clause( 13283, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ),
% 3.33/3.76 between( Y, Z, T ) ] )
% 3.33/3.76 , clause( 13284, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ),
% 3.33/3.76 between( X, Z, T ), =( Y, Z ) ] )
% 3.33/3.76 , clause( 13285, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ),
% 3.33/3.76 between( X, Y, T ), =( Y, Z ) ] )
% 3.33/3.76 , clause( 13286, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ),
% 3.33/3.76 between( X, T, Z ) ] )
% 3.33/3.76 , clause( 13287, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ),
% 3.33/3.76 between( X, Y, T ) ] )
% 3.33/3.76 , clause( 13288, [ ~( =( 'lower_dimension_point_1',
% 3.33/3.76 'lower_dimension_point_2' ) ) ] )
% 3.33/3.76 , clause( 13289, [ ~( =( 'lower_dimension_point_2',
% 3.33/3.76 'lower_dimension_point_3' ) ) ] )
% 3.33/3.76 , clause( 13290, [ ~( =( 'lower_dimension_point_1',
% 3.33/3.76 'lower_dimension_point_3' ) ) ] )
% 3.33/3.76 , clause( 13291, [ ~( =( X, extension( Y, X, 'lower_dimension_point_1',
% 3.33/3.76 'lower_dimension_point_2' ) ) ) ] )
% 3.33/3.76 , clause( 13292, [ equidistant( X, extension( Y, X,
% 3.33/3.76 'lower_dimension_point_1', 'lower_dimension_point_2' ), Z, extension( T,
% 3.33/3.76 Z, 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 3.33/3.76 , clause( 13293, [ between( X, Y, extension( X, Y,
% 3.33/3.76 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 3.33/3.76 , clause( 13294, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), ~(
% 3.33/3.76 between( X, W, T ) ), between( W, 'inner_pasch'( U, 'inner_pasch'( X, W,
% 3.33/3.76 T, U, Z ), X, Y, Z ), Z ), between( Y, 'inner_pasch'( U, 'inner_pasch'( X
% 3.33/3.76 , W, T, U, Z ), X, Y, Z ), U ) ] )
% 3.33/3.76 , clause( 13295, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, X, T ) )
% 3.33/3.76 , ~( equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 3.33/3.76 , clause( 13296, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, U, Z
% 3.33/3.76 , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 )
% 3.33/3.76 ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0
% 3.33/3.76 , T, V1 ) ] )
% 3.33/3.76 , clause( 13297, [ ~( between( X, Y, Z ) ), ~( between( T, U, W ) ), ~(
% 3.33/3.77 equidistant( X, Y, T, U ) ), ~( equidistant( X, Z, T, W ) ), equidistant(
% 3.33/3.77 Y, Z, U, W ) ] )
% 3.33/3.77 , clause( 13298, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 3.33/3.77 , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( U, V0, W, V1 )
% 3.33/3.77 ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( Y, V0
% 3.33/3.77 , T, V1 ) ] )
% 3.33/3.77 , clause( 13299, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, T ) )
% 3.33/3.77 , ~( equidistant( Z, Y, Z, T ) ), =( Y, T ) ] )
% 3.33/3.77 , clause( 13300, [ equidistant( X, Y, Z, insertion( Z, T, X, Y ) ) ] )
% 3.33/3.77 , clause( 13301, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) )
% 3.33/3.77 , between( T, insertion( T, U, X, Y ), U ) ] )
% 3.33/3.77 , clause( 13302, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Z, T, U ) )
% 3.33/3.77 , equidistant( Y, Z, insertion( T, U, X, Y ), U ) ] )
% 3.33/3.77 , clause( 13303, [ ~( between( X, Y, Z ) ), =( Y, insertion( X, Z, X, Y ) )
% 3.33/3.77 ] )
% 3.33/3.77 , clause( 13304, [ ~( equidistant( X, Y, Z, T ) ), =( insertion( U, W, X, Y
% 3.33/3.77 ), insertion( U, W, Z, T ) ) ] )
% 3.33/3.77 , clause( 13305, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 3.33/3.77 , W ) ), ~( equidistant( X, U, Z, W ) ), ~( between( X, Y, U ) ), between(
% 3.33/3.77 Z, T, W ) ] )
% 3.33/3.77 , clause( 13306, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X,
% 3.33/3.77 Y ), between( X, Z, T ), between( X, T, Z ) ] )
% 3.33/3.77 , clause( 13307, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), =( X,
% 3.33/3.77 Y ), between( Y, Z, T ), between( Y, T, Z ) ] )
% 3.33/3.77 , clause( 13308, [ ~( between( X, Y, Z ) ), ~( between( T, Y, Z ) ), =( Y,
% 3.33/3.77 Z ), between( X, T, Y ), between( T, X, Y ) ] )
% 3.33/3.77 , clause( 13309, [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ),
% 3.33/3.77 between( X, Y, T ), between( X, T, Y ) ] )
% 3.33/3.77 , clause( 13310, [ ~( between( X, Y, Z ) ), ~( between( X, T, Z ) ),
% 3.33/3.77 between( Y, T, Z ), between( T, Y, Z ) ] )
% 3.33/3.77 , clause( 13311, [ ~( between( X, Y, Z ) ), ~( between( Y, T, U ) ), ~(
% 3.33/3.77 between( X, U, Z ) ), between( X, T, Z ) ] )
% 3.33/3.77 , clause( 13312, [ ~( between( X, Y, Z ) ), ~( equidistant( X, Y, X, Z ) )
% 3.33/3.77 , =( Y, Z ) ] )
% 3.33/3.77 , clause( 13313, [ ~( between( X, Y, Z ) ), colinear( Z, Y, X ) ] )
% 3.33/3.77 , clause( 13314, [ ~( between( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 3.33/3.77 , clause( 13315, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 3.33/3.77 , clause( 13316, [ ~( colinear( X, Y, Z ) ), colinear( Z, Y, X ) ] )
% 3.33/3.77 , clause( 13317, [ ~( colinear( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 3.33/3.77 , clause( 13318, [ ~( colinear( X, Y, Z ) ), colinear( X, Z, Y ) ] )
% 3.33/3.77 , clause( 13319, [ ~( colinear( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 3.33/3.77 , clause( 13320, [ ~( colinear( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 3.33/3.77 , clause( 13321, [ ~( colinear( 'lower_dimension_point_1',
% 3.33/3.77 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 3.33/3.77 , clause( 13322, [ ~( colinear( x, x, y ) ), ~( colinear( x, y, x ) ), ~(
% 3.33/3.77 colinear( y, x, x ) ), =( x, y ) ] )
% 3.33/3.77 , clause( 13323, [ ~( colinear( x, x, y ) ), ~( colinear( x, y, x ) ), ~(
% 3.33/3.77 colinear( y, x, x ) ), ~( colinear( x, z, y ) ) ] )
% 3.33/3.77 ] ).
% 3.33/3.77
% 3.33/3.77
% 3.33/3.77
% 3.33/3.77 subsumption(
% 3.33/3.77 clause( 48, [ between( X, Y, Y ) ] )
% 3.33/3.77 , clause( 13274, [ between( X, Y, Y ) ] )
% 3.33/3.77 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.33/3.77 )] ) ).
% 3.33/3.77
% 3.33/3.77
% 3.33/3.77 subsumption(
% 3.33/3.77 clause( 85, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 3.33/3.77 , clause( 13315, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 3.33/3.77 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.33/3.77 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 3.33/3.77
% 3.33/3.77
% 3.33/3.77 subsumption(
% 3.33/3.77 clause( 86, [ ~( colinear( X, Y, Z ) ), colinear( Z, Y, X ) ] )
% 3.33/3.77 , clause( 13316, [ ~( colinear( X, Y, Z ) ), colinear( Z, Y, X ) ] )
% 3.33/3.77 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.33/3.77 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 3.33/3.77
% 3.33/3.77
% 3.33/3.77 subsumption(
% 3.33/3.77 clause( 87, [ ~( colinear( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 3.33/3.77 , clause( 13317, [ ~( colinear( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 3.33/3.77 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 3.33/3.77 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 3.33/3.77
% 3.33/3.77
% 3.33/3.77 subsumption(
% 3.33/3.77 clause( 89, [ ~( colinear( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 3.33/3.77 , clause( 13319, [ ~( colinear( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 3.33/3.77 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.11/4.51 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 resolution(
% 4.11/4.51 clause( 14523, [ ~( colinear( x, y, x ) ), ~( colinear( y, x, x ) ), =( x,
% 4.11/4.51 y ), ~( colinear( y, x, x ) ) ] )
% 4.11/4.51 , clause( 13322, [ ~( colinear( x, x, y ) ), ~( colinear( x, y, x ) ), ~(
% 4.11/4.51 colinear( y, x, x ) ), =( x, y ) ] )
% 4.11/4.51 , 0, clause( 86, [ ~( colinear( X, Y, Z ) ), colinear( Z, Y, X ) ] )
% 4.11/4.51 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, y ), :=( Y, x ), :=(
% 4.11/4.51 Z, x )] )).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 eqswap(
% 4.11/4.51 clause( 14526, [ =( y, x ), ~( colinear( x, y, x ) ), ~( colinear( y, x, x
% 4.11/4.51 ) ), ~( colinear( y, x, x ) ) ] )
% 4.11/4.51 , clause( 14523, [ ~( colinear( x, y, x ) ), ~( colinear( y, x, x ) ), =( x
% 4.11/4.51 , y ), ~( colinear( y, x, x ) ) ] )
% 4.11/4.51 , 2, substitution( 0, [] )).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 factor(
% 4.11/4.51 clause( 14527, [ =( y, x ), ~( colinear( x, y, x ) ), ~( colinear( y, x, x
% 4.11/4.51 ) ) ] )
% 4.11/4.51 , clause( 14526, [ =( y, x ), ~( colinear( x, y, x ) ), ~( colinear( y, x,
% 4.11/4.51 x ) ), ~( colinear( y, x, x ) ) ] )
% 4.11/4.51 , 2, 3, substitution( 0, [] )).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 subsumption(
% 4.11/4.51 clause( 92, [ ~( colinear( x, y, x ) ), ~( colinear( y, x, x ) ), =( y, x )
% 4.11/4.51 ] )
% 4.11/4.51 , clause( 14527, [ =( y, x ), ~( colinear( x, y, x ) ), ~( colinear( y, x,
% 4.11/4.51 x ) ) ] )
% 4.11/4.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2
% 4.11/4.51 , 1 )] ) ).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 paramod(
% 4.11/4.51 clause( 33817, [ ~( colinear( x, z, x ) ), ~( colinear( x, y, x ) ), ~(
% 4.11/4.51 colinear( y, x, x ) ), ~( colinear( x, x, y ) ), ~( colinear( x, y, x ) )
% 4.11/4.51 , ~( colinear( y, x, x ) ) ] )
% 4.11/4.51 , clause( 92, [ ~( colinear( x, y, x ) ), ~( colinear( y, x, x ) ), =( y, x
% 4.11/4.51 ) ] )
% 4.11/4.51 , 2, clause( 13323, [ ~( colinear( x, x, y ) ), ~( colinear( x, y, x ) ),
% 4.11/4.51 ~( colinear( y, x, x ) ), ~( colinear( x, z, y ) ) ] )
% 4.11/4.51 , 3, 4, substitution( 0, [] ), substitution( 1, [] )).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 factor(
% 4.11/4.51 clause( 33843, [ ~( colinear( x, z, x ) ), ~( colinear( x, y, x ) ), ~(
% 4.11/4.51 colinear( y, x, x ) ), ~( colinear( x, x, y ) ), ~( colinear( y, x, x ) )
% 4.11/4.51 ] )
% 4.11/4.51 , clause( 33817, [ ~( colinear( x, z, x ) ), ~( colinear( x, y, x ) ), ~(
% 4.11/4.51 colinear( y, x, x ) ), ~( colinear( x, x, y ) ), ~( colinear( x, y, x ) )
% 4.11/4.51 , ~( colinear( y, x, x ) ) ] )
% 4.11/4.51 , 1, 4, substitution( 0, [] )).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 factor(
% 4.11/4.51 clause( 33844, [ ~( colinear( x, z, x ) ), ~( colinear( x, y, x ) ), ~(
% 4.11/4.51 colinear( y, x, x ) ), ~( colinear( x, x, y ) ) ] )
% 4.11/4.51 , clause( 33843, [ ~( colinear( x, z, x ) ), ~( colinear( x, y, x ) ), ~(
% 4.11/4.51 colinear( y, x, x ) ), ~( colinear( x, x, y ) ), ~( colinear( y, x, x ) )
% 4.11/4.51 ] )
% 4.11/4.51 , 2, 4, substitution( 0, [] )).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 paramod(
% 4.11/4.51 clause( 33846, [ ~( colinear( x, x, x ) ), ~( colinear( x, y, x ) ), ~(
% 4.11/4.51 colinear( y, x, x ) ), ~( colinear( x, z, x ) ), ~( colinear( x, y, x ) )
% 4.11/4.51 , ~( colinear( y, x, x ) ) ] )
% 4.11/4.51 , clause( 92, [ ~( colinear( x, y, x ) ), ~( colinear( y, x, x ) ), =( y, x
% 4.11/4.51 ) ] )
% 4.11/4.51 , 2, clause( 33844, [ ~( colinear( x, z, x ) ), ~( colinear( x, y, x ) ),
% 4.11/4.51 ~( colinear( y, x, x ) ), ~( colinear( x, x, y ) ) ] )
% 4.11/4.51 , 3, 4, substitution( 0, [] ), substitution( 1, [] )).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 factor(
% 4.11/4.51 clause( 33866, [ ~( colinear( x, x, x ) ), ~( colinear( x, y, x ) ), ~(
% 4.11/4.51 colinear( y, x, x ) ), ~( colinear( x, z, x ) ), ~( colinear( y, x, x ) )
% 4.11/4.51 ] )
% 4.11/4.51 , clause( 33846, [ ~( colinear( x, x, x ) ), ~( colinear( x, y, x ) ), ~(
% 4.11/4.51 colinear( y, x, x ) ), ~( colinear( x, z, x ) ), ~( colinear( x, y, x ) )
% 4.11/4.51 , ~( colinear( y, x, x ) ) ] )
% 4.11/4.51 , 1, 4, substitution( 0, [] )).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 factor(
% 4.11/4.51 clause( 33867, [ ~( colinear( x, x, x ) ), ~( colinear( x, y, x ) ), ~(
% 4.11/4.51 colinear( y, x, x ) ), ~( colinear( x, z, x ) ) ] )
% 4.11/4.51 , clause( 33866, [ ~( colinear( x, x, x ) ), ~( colinear( x, y, x ) ), ~(
% 4.11/4.51 colinear( y, x, x ) ), ~( colinear( x, z, x ) ), ~( colinear( y, x, x ) )
% 4.11/4.51 ] )
% 4.11/4.51 , 2, 4, substitution( 0, [] )).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 resolution(
% 4.11/4.51 clause( 33869, [ ~( colinear( x, x, x ) ), ~( colinear( y, x, x ) ), ~(
% 4.11/4.51 colinear( x, z, x ) ), ~( colinear( y, x, x ) ) ] )
% 4.11/4.51 , clause( 33867, [ ~( colinear( x, x, x ) ), ~( colinear( x, y, x ) ), ~(
% 4.11/4.51 colinear( y, x, x ) ), ~( colinear( x, z, x ) ) ] )
% 4.11/4.51 , 1, clause( 89, [ ~( colinear( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 4.11/4.51 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, y ), :=( Y, x ), :=(
% 4.11/4.51 Z, x )] )).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 factor(
% 4.11/4.51 clause( 33872, [ ~( colinear( x, x, x ) ), ~( colinear( y, x, x ) ), ~(
% 4.11/4.51 colinear( x, z, x ) ) ] )
% 4.11/4.51 , clause( 33869, [ ~( colinear( x, x, x ) ), ~( colinear( y, x, x ) ), ~(
% 4.11/4.51 colinear( x, z, x ) ), ~( colinear( y, x, x ) ) ] )
% 4.11/4.51 , 1, 3, substitution( 0, [] )).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 subsumption(
% 4.11/4.51 clause( 93, [ ~( colinear( y, x, x ) ), ~( colinear( x, x, x ) ), ~(
% 4.11/4.51 colinear( x, z, x ) ) ] )
% 4.11/4.51 , clause( 33872, [ ~( colinear( x, x, x ) ), ~( colinear( y, x, x ) ), ~(
% 4.11/4.51 colinear( x, z, x ) ) ] )
% 4.11/4.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 ), ==>( 2
% 4.11/4.51 , 2 )] ) ).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 resolution(
% 4.11/4.51 clause( 33873, [ colinear( Y, X, Y ) ] )
% 4.11/4.51 , clause( 85, [ ~( between( X, Y, Z ) ), colinear( Y, X, Z ) ] )
% 4.11/4.51 , 0, clause( 48, [ between( X, Y, Y ) ] )
% 4.11/4.51 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y )] ),
% 4.11/4.51 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 subsumption(
% 4.11/4.51 clause( 802, [ colinear( X, Y, X ) ] )
% 4.11/4.51 , clause( 33873, [ colinear( Y, X, Y ) ] )
% 4.11/4.51 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 4.11/4.51 )] ) ).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 resolution(
% 4.11/4.51 clause( 33874, [ colinear( Y, X, X ) ] )
% 4.11/4.51 , clause( 87, [ ~( colinear( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 4.11/4.51 , 0, clause( 802, [ colinear( X, Y, X ) ] )
% 4.11/4.51 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, X )] ),
% 4.11/4.51 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 subsumption(
% 4.11/4.51 clause( 917, [ colinear( X, Y, Y ) ] )
% 4.11/4.51 , clause( 33874, [ colinear( Y, X, X ) ] )
% 4.11/4.51 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 4.11/4.51 )] ) ).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 resolution(
% 4.11/4.51 clause( 33876, [ ~( colinear( y, x, x ) ), =( y, x ), ~( colinear( y, x, x
% 4.11/4.51 ) ) ] )
% 4.11/4.51 , clause( 92, [ ~( colinear( x, y, x ) ), ~( colinear( y, x, x ) ), =( y, x
% 4.11/4.51 ) ] )
% 4.11/4.51 , 0, clause( 89, [ ~( colinear( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 4.11/4.51 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, y ), :=( Y, x ), :=(
% 4.11/4.51 Z, x )] )).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 factor(
% 4.11/4.51 clause( 33878, [ ~( colinear( y, x, x ) ), =( y, x ) ] )
% 4.11/4.51 , clause( 33876, [ ~( colinear( y, x, x ) ), =( y, x ), ~( colinear( y, x,
% 4.11/4.51 x ) ) ] )
% 4.11/4.51 , 0, 2, substitution( 0, [] )).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 resolution(
% 4.11/4.51 clause( 33879, [ =( y, x ) ] )
% 4.11/4.51 , clause( 33878, [ ~( colinear( y, x, x ) ), =( y, x ) ] )
% 4.11/4.51 , 0, clause( 917, [ colinear( X, Y, Y ) ] )
% 4.11/4.51 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, y ), :=( Y, x )] )
% 4.11/4.51 ).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 subsumption(
% 4.11/4.51 clause( 13125, [ =( y, x ) ] )
% 4.11/4.51 , clause( 33879, [ =( y, x ) ] )
% 4.11/4.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 paramod(
% 4.11/4.51 clause( 33882, [ ~( colinear( x, x, x ) ), ~( colinear( x, x, x ) ), ~(
% 4.11/4.51 colinear( x, z, x ) ) ] )
% 4.11/4.51 , clause( 13125, [ =( y, x ) ] )
% 4.11/4.51 , 0, clause( 93, [ ~( colinear( y, x, x ) ), ~( colinear( x, x, x ) ), ~(
% 4.11/4.51 colinear( x, z, x ) ) ] )
% 4.11/4.51 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 factor(
% 4.11/4.51 clause( 33883, [ ~( colinear( x, x, x ) ), ~( colinear( x, z, x ) ) ] )
% 4.11/4.51 , clause( 33882, [ ~( colinear( x, x, x ) ), ~( colinear( x, x, x ) ), ~(
% 4.11/4.51 colinear( x, z, x ) ) ] )
% 4.11/4.51 , 0, 1, substitution( 0, [] )).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 resolution(
% 4.11/4.51 clause( 33887, [ ~( colinear( x, z, x ) ) ] )
% 4.11/4.51 , clause( 33883, [ ~( colinear( x, x, x ) ), ~( colinear( x, z, x ) ) ] )
% 4.11/4.51 , 0, clause( 802, [ colinear( X, Y, X ) ] )
% 4.11/4.51 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, x )] )
% 4.11/4.51 ).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 subsumption(
% 4.11/4.51 clause( 13223, [ ~( colinear( x, z, x ) ) ] )
% 4.11/4.51 , clause( 33887, [ ~( colinear( x, z, x ) ) ] )
% 4.11/4.51 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 resolution(
% 4.11/4.51 clause( 33889, [] )
% 4.11/4.51 , clause( 13223, [ ~( colinear( x, z, x ) ) ] )
% 4.11/4.51 , 0, clause( 802, [ colinear( X, Y, X ) ] )
% 4.11/4.51 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, x ), :=( Y, z )] )
% 4.11/4.51 ).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 subsumption(
% 4.11/4.51 clause( 13224, [] )
% 4.11/4.51 , clause( 33889, [] )
% 4.11/4.51 , substitution( 0, [] ), permutation( 0, [] ) ).
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 end.
% 4.11/4.51
% 4.11/4.51 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.11/4.51
% 4.11/4.51 Memory use:
% 4.11/4.51
% 4.11/4.51 space for terms: 294968
% 4.11/4.51 space for clauses: 563738
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 clauses generated: 77913
% 4.11/4.51 clauses kept: 13225
% 4.11/4.51 clauses selected: 333
% 4.11/4.51 clauses deleted: 4
% 4.11/4.51 clauses inuse deleted: 0
% 4.11/4.51
% 4.11/4.51 subsentry: 2235594
% 4.11/4.51 literals s-matched: 1750370
% 4.11/4.51 literals matched: 1704255
% 4.11/4.51 full subsumption: 1211626
% 4.11/4.51
% 4.11/4.51 checksum: 1995414474
% 4.11/4.51
% 4.11/4.51
% 4.11/4.51 Bliksem ended
%------------------------------------------------------------------------------