%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO065-2 : TPTP v8.1.0. Released v1.0.0.
% 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 02:51:20 EDT 2022
% Result : Unsatisfiable 6.64s 7.05s
% Output : Refutation 6.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15 % Problem : GEO065-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.16 % Command : bliksem %s
% 0.14/0.37 % Computer : n006.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % DateTime : Fri Jun 17 22:16:41 EDT 2022
% 0.14/0.38 % CPUTime :
% 6.64/7.05 *** allocated 10000 integers for termspace/termends
% 6.64/7.05 *** allocated 10000 integers for clauses
% 6.64/7.05 *** allocated 10000 integers for justifications
% 6.64/7.05 Bliksem 1.12
% 6.64/7.05
% 6.64/7.05
% 6.64/7.05 Automatic Strategy Selection
% 6.64/7.05
% 6.64/7.05 Clauses:
% 6.64/7.05 [
% 6.64/7.05 [ equidistant( X, Y, Y, X ) ],
% 6.64/7.05 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 6.64/7.05 equidistant( Z, T, U, W ) ],
% 6.64/7.05 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 6.64/7.05 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 6.64/7.05 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 6.64/7.05 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 6.64/7.05 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 6.64/7.05 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 6.64/7.05 , V0, W, V1 ) ],
% 6.64/7.05 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 6.64/7.05 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 6.64/7.05 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 6.64/7.05 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 6.64/7.05 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 6.64/7.05 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 6.64/7.05 'lower_dimension_point_3' ) ) ],
% 6.64/7.05 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 6.64/7.05 'lower_dimension_point_1' ) ) ],
% 6.64/7.05 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 6.64/7.05 'lower_dimension_point_2' ) ) ],
% 6.64/7.05 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 6.64/7.05 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 6.64/7.05 between( U, X, T ), =( Y, Z ) ],
% 6.64/7.05 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 6.64/7.05 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 6.64/7.05 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 6.64/7.05 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 6.64/7.05 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 6.64/7.05 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 6.64/7.05 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 6.64/7.05 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 6.64/7.05 , Y, Z, W, T, U ), U ) ],
% 6.64/7.05 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 6.64/7.05 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 6.64/7.05 continuous( X, Y, Z, W, T, U ) ) ],
% 6.64/7.05 [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ],
% 6.64/7.05 [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ],
% 6.64/7.05 [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ],
% 6.64/7.05 [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z, X ),
% 6.64/7.05 between( Z, X, Y ) ],
% 6.64/7.05 [ between( u, w, v ) ],
% 6.64/7.05 [ ~( colinear( u, v, w ) ) ]
% 6.64/7.05 ] .
% 6.64/7.05
% 6.64/7.05
% 6.64/7.05 percentage equality = 0.102941, percentage horn = 0.750000
% 6.64/7.05 This is a problem with some equality
% 6.64/7.05
% 6.64/7.05
% 6.64/7.05
% 6.64/7.05 Options Used:
% 6.64/7.05
% 6.64/7.05 useres = 1
% 6.64/7.05 useparamod = 1
% 6.64/7.05 useeqrefl = 1
% 6.64/7.05 useeqfact = 1
% 6.64/7.05 usefactor = 1
% 6.64/7.05 usesimpsplitting = 0
% 6.64/7.05 usesimpdemod = 5
% 6.64/7.05 usesimpres = 3
% 6.64/7.05
% 6.64/7.05 resimpinuse = 1000
% 6.64/7.05 resimpclauses = 20000
% 6.64/7.05 substype = eqrewr
% 6.64/7.05 backwardsubs = 1
% 6.64/7.05 selectoldest = 5
% 6.64/7.05
% 6.64/7.05 litorderings [0] = split
% 6.64/7.05 litorderings [1] = extend the termordering, first sorting on arguments
% 6.64/7.05
% 6.64/7.05 termordering = kbo
% 6.64/7.05
% 6.64/7.05 litapriori = 0
% 6.64/7.05 termapriori = 1
% 6.64/7.05 litaposteriori = 0
% 6.64/7.05 termaposteriori = 0
% 6.64/7.05 demodaposteriori = 0
% 6.64/7.05 ordereqreflfact = 0
% 6.64/7.05
% 6.64/7.05 litselect = negord
% 6.64/7.05
% 6.64/7.05 maxweight = 15
% 6.64/7.05 maxdepth = 30000
% 6.64/7.05 maxlength = 115
% 6.64/7.05 maxnrvars = 195
% 6.64/7.05 excuselevel = 1
% 6.64/7.05 increasemaxweight = 1
% 6.64/7.05
% 6.64/7.05 maxselected = 10000000
% 6.64/7.05 maxnrclauses = 10000000
% 6.64/7.05
% 6.64/7.05 showgenerated = 0
% 6.64/7.05 showkept = 0
% 6.64/7.05 showselected = 0
% 6.64/7.05 showdeleted = 0
% 6.64/7.05 showresimp = 1
% 6.64/7.05 showstatus = 2000
% 6.64/7.05
% 6.64/7.05 prologoutput = 1
% 6.64/7.05 nrgoals = 5000000
% 6.64/7.05 totalproof = 1
% 6.64/7.05
% 6.64/7.05 Symbols occurring in the translation:
% 6.64/7.05
% 6.64/7.05 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 6.64/7.05 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 6.64/7.05 ! [4, 1] (w:0, o:26, a:1, s:1, b:0),
% 6.64/7.05 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.64/7.05 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.64/7.05 equidistant [41, 4] (w:1, o:58, a:1, s:1, b:0),
% 6.64/7.05 extension [46, 4] (w:1, o:59, a:1, s:1, b:0),
% 6.64/7.05 between [47, 3] (w:1, o:56, a:1, s:1, b:0),
% 6.64/7.05 'inner_pasch' [53, 5] (w:1, o:60, a:1, s:1, b:0),
% 6.64/7.05 'lower_dimension_point_1' [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 6.64/7.05 'lower_dimension_point_2' [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 6.64/7.05 'lower_dimension_point_3' [56, 0] (w:1, o:22, a:1, s:1, b:0),
% 6.64/7.05 euclid1 [57, 5] (w:1, o:61, a:1, s:1, b:0),
% 6.64/7.05 euclid2 [58, 5] (w:1, o:62, a:1, s:1, b:0),
% 6.64/7.05 continuous [59, 6] (w:1, o:63, a:1, s:1, b:0),
% 6.64/7.05 colinear [60, 3] (w:1, o:57, a:1, s:1, b:0),
% 6.64/7.05 u [61, 0] (w:1, o:23, a:1, s:1, b:0),
% 6.64/7.05 w [62, 0] (w:1, o:25, a:1, s:1, b:0),
% 6.64/7.05 v [63, 0] (w:1, o:24, a:1, s:1, b:0).
% 6.64/7.05
% 6.64/7.05
% 6.64/7.05 Starting Search:
% 6.64/7.05
% 6.64/7.05 Resimplifying inuse:
% 6.64/7.05 Done
% 6.64/7.05
% 6.64/7.05
% 6.64/7.05 Intermediate Status:
% 6.64/7.05 Generated: 15807
% 6.64/7.05 Kept: 2578
% 6.64/7.05 Inuse: 175
% 6.64/7.05 Deleted: 12
% 6.64/7.05 Deletedinuse: 0
% 6.64/7.05
% 6.64/7.05 Resimplifying inuse:
% 6.64/7.05 Done
% 6.64/7.05
% 6.64/7.05 Resimplifying inuse:
% 6.64/7.05 Done
% 6.64/7.05
% 6.64/7.05
% 6.64/7.05 Intermediate Status:
% 6.64/7.05 Generated: 30315
% 6.64/7.05 Kept: 4582
% 6.64/7.05 Inuse: 310
% 6.64/7.05 Deleted: 39
% 6.64/7.05 Deletedinuse: 1
% 6.64/7.05
% 6.64/7.05 Resimplifying inuse:
% 6.64/7.05 Done
% 6.64/7.05
% 6.64/7.05 Resimplifying inuse:
% 6.64/7.05 Done
% 6.64/7.05
% 6.64/7.05
% 6.64/7.05 Intermediate Status:
% 6.64/7.05 Generated: 53554
% 6.64/7.05 Kept: 6587
% 6.64/7.05 Inuse: 543
% 6.64/7.05 Deleted: 51
% 6.64/7.05 Deletedinuse: 1
% 6.64/7.05
% 6.64/7.05 Resimplifying inuse:
% 6.64/7.05 Done
% 6.64/7.05
% 6.64/7.05 Resimplifying inuse:
% 6.64/7.05 Done
% 6.64/7.05
% 6.64/7.05
% 6.64/7.05 Intermediate Status:
% 6.64/7.05 Generated: 75451
% 6.64/7.05 Kept: 8785
% 6.64/7.05 Inuse: 686
% 6.64/7.05 Deleted: 106
% 6.64/7.05 Deletedinuse: 1
% 6.64/7.05
% 6.64/7.05 Resimplifying inuse:
% 6.64/7.05 Done
% 6.64/7.05
% 6.64/7.05 Resimplifying inuse:
% 6.64/7.05 Done
% 6.64/7.05
% 6.64/7.05
% 6.64/7.05 Intermediate Status:
% 6.64/7.05 Generated: 271041
% 6.64/7.05 Kept: 10789
% 6.64/7.05 Inuse: 882
% 6.64/7.05 Deleted: 111
% 6.64/7.05 Deletedinuse: 1
% 6.64/7.05
% 6.64/7.05 Resimplifying inuse:
% 6.64/7.05 Done
% 6.64/7.05
% 6.64/7.05 Resimplifying inuse:
% 6.64/7.05 Done
% 6.64/7.05
% 6.64/7.05
% 6.64/7.05 Intermediate Status:
% 6.64/7.05 Generated: 347632
% 6.64/7.05 Kept: 12805
% 6.64/7.05 Inuse: 1008
% 6.64/7.05 Deleted: 111
% 6.64/7.05 Deletedinuse: 1
% 6.64/7.05
% 6.64/7.05 Resimplifying inuse:
% 6.64/7.05 Done
% 6.64/7.05
% 6.64/7.05 Resimplifying inuse:
% 6.64/7.05 Done
% 6.64/7.05
% 6.64/7.05
% 6.64/7.05 Intermediate Status:
% 6.64/7.05 Generated: 387030
% 6.64/7.05 Kept: 14993
% 6.64/7.05 Inuse: 1086
% 6.64/7.05 Deleted: 113
% 6.64/7.05 Deletedinuse: 2
% 6.64/7.05
% 6.64/7.05 Resimplifying inuse:
% 6.64/7.05 Done
% 6.64/7.05
% 6.64/7.05 Resimplifying inuse:
% 6.64/7.05 Done
% 6.64/7.05
% 6.64/7.05
% 6.64/7.05 Bliksems!, er is een bewijs:
% 6.64/7.05 % SZS status Unsatisfiable
% 6.64/7.05 % SZS output start Refutation
% 6.64/7.05
% 6.64/7.05 clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 6.64/7.05 .
% 6.64/7.05 clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 6.64/7.05 .
% 6.64/7.05 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 6.64/7.05 .
% 6.64/7.05 clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 6.64/7.05 .
% 6.64/7.05 clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 6.64/7.05 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 6.64/7.05 .
% 6.64/7.05 clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 6.64/7.05 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 6.64/7.05 .
% 6.64/7.05 clause( 19, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 6.64/7.05 .
% 6.64/7.05 clause( 22, [ between( u, w, v ) ] )
% 6.64/7.05 .
% 6.64/7.05 clause( 23, [ ~( colinear( u, v, w ) ) ] )
% 6.64/7.05 .
% 6.64/7.05 clause( 89, [ ~( between( v, w, u ) ) ] )
% 6.64/7.05 .
% 6.64/7.05 clause( 264, [ =( extension( Y, X, Z, Z ), X ) ] )
% 6.64/7.05 .
% 6.64/7.05 clause( 277, [ between( X, Y, Y ) ] )
% 6.64/7.05 .
% 6.64/7.05 clause( 367, [ ~( between( X, Y, Z ) ), ~( between( U, T, Z ) ), between( Y
% 6.64/7.05 , W, U ), ~( between( W, 'inner_pasch'( X, Y, Z, T, U ), W ) ) ] )
% 6.64/7.05 .
% 6.64/7.05 clause( 386, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( T, Z, Z
% 6.64/7.05 , Y, X ), T ) ] )
% 6.64/7.05 .
% 6.64/7.05 clause( 16306, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 6.64/7.05 .
% 6.64/7.05 clause( 16685, [] )
% 6.64/7.05 .
% 6.64/7.05
% 6.64/7.05
% 6.64/7.05 % SZS output end Refutation
% 6.64/7.05 found a proof!
% 6.64/7.05
% 6.64/7.05 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 6.64/7.05
% 6.64/7.05 initialclauses(
% 6.64/7.05 [ clause( 16687, [ equidistant( X, Y, Y, X ) ] )
% 6.64/7.05 , clause( 16688, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 6.64/7.05 , W ) ), equidistant( Z, T, U, W ) ] )
% 6.64/7.05 , clause( 16689, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 6.64/7.05 , clause( 16690, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 6.64/7.05 , clause( 16691, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 6.64/7.05 , clause( 16692, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 6.64/7.05 , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 6.64/7.05 ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 6.64/7.05 equidistant( U, V0, W, V1 ) ] )
% 6.64/7.05 , clause( 16693, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 6.64/7.05 , clause( 16694, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 6.64/7.05 between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 6.64/7.05 , clause( 16695, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 6.64/7.05 between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 6.64/7.05 , clause( 16696, [ ~( between( 'lower_dimension_point_1',
% 6.64/7.05 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 6.64/7.06 , clause( 16697, [ ~( between( 'lower_dimension_point_2',
% 6.64/7.06 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 6.64/7.06 , clause( 16698, [ ~( between( 'lower_dimension_point_3',
% 6.64/7.06 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 6.64/7.06 , clause( 16699, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 6.64/7.06 , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T,
% 6.64/7.06 U, X ), between( U, X, T ), =( Y, Z ) ] )
% 6.64/7.06 , clause( 16700, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 6.64/7.06 Y ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 6.64/7.06 , clause( 16701, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 6.64/7.06 Y ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 6.64/7.06 , clause( 16702, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 6.64/7.06 Y ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ]
% 6.64/7.06 )
% 6.64/7.06 , clause( 16703, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 6.64/7.06 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 6.64/7.06 continuous( X, Y, Z, W, T, U ), U ) ] )
% 6.64/7.06 , clause( 16704, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 6.64/7.06 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 6.64/7.06 , W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 6.64/7.06 , clause( 16705, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 6.64/7.06 , clause( 16706, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 6.64/7.06 , clause( 16707, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 6.64/7.06 , clause( 16708, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 6.64/7.06 , Z, X ), between( Z, X, Y ) ] )
% 6.64/7.06 , clause( 16709, [ between( u, w, v ) ] )
% 6.64/7.06 , clause( 16710, [ ~( colinear( u, v, w ) ) ] )
% 6.64/7.06 ] ).
% 6.64/7.06
% 6.64/7.06
% 6.64/7.06
% 6.64/7.06 subsumption(
% 6.64/7.06 clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 6.64/7.06 , clause( 16689, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 6.64/7.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.64/7.06 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 6.64/7.06
% 6.64/7.06
% 6.64/7.06 subsumption(
% 6.64/7.06 clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 6.64/7.06 , clause( 16690, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 6.64/7.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.64/7.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.64/7.06
% 6.64/7.06
% 6.64/7.06 subsumption(
% 6.64/7.06 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 6.64/7.06 , clause( 16691, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 6.64/7.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 6.64/7.06 permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.64/7.06
% 6.64/7.06
% 6.64/7.06 subsumption(
% 6.64/7.06 clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 6.64/7.06 , clause( 16693, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 6.64/7.06 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 6.64/7.06 ), ==>( 1, 1 )] ) ).
% 6.64/7.06
% 6.64/7.06
% 6.64/7.06 subsumption(
% 6.64/7.06 clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 6.64/7.06 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 6.64/7.06 , clause( 16694, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 6.64/7.06 between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 6.64/7.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 6.64/7.06 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 6.64/7.06 ).
% 6.64/7.06
% 6.64/7.06
% 6.64/7.06 subsumption(
% 6.64/7.06 clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 6.64/7.06 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 6.64/7.06 , clause( 16695, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 6.64/7.06 between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 6.64/7.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 6.64/7.06 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 6.64/7.06 ).
% 6.64/7.06
% 6.64/7.06
% 6.64/7.06 subsumption(
% 6.64/7.06 clause( 19, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 6.64/7.06 , clause( 16706, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 6.64/7.06 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 6.64/7.06 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 6.64/7.06
% 6.64/7.06
% 6.64/7.06 subsumption(
% 6.64/7.06 clause( 22, [ between( u, w, v ) ] )
% 6.64/7.06 , clause( 16709, [ between( u, w, v ) ] )
% 6.64/7.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.64/7.06
% 6.64/7.06
% 6.64/7.06 subsumption(
% 6.64/7.06 clause( 23, [ ~( colinear( u, v, w ) ) ] )
% 6.64/7.06 , clause( 16710, [ ~( colinear( u, v, w ) ) ] )
% 6.64/7.06 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 6.64/7.06
% 6.64/7.06
% 6.64/7.06 resolution(
% 6.64/7.06 clause( 16994, [ ~( between( v, w, u ) ) ] )
% 131.13/131.61 , clause( 23, [ ~( colinear( u, v, w ) ) ] )
% 131.13/131.61 , 0, clause( 19, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 131.13/131.61 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, v ), :=( Y, w ), :=(
% 131.13/131.61 Z, u )] )).
% 131.13/131.61
% 131.13/131.61
% 131.13/131.61 subsumption(
% 131.13/131.61 clause( 89, [ ~( between( v, w, u ) ) ] )
% 131.13/131.61 , clause( 16994, [ ~( between( v, w, u ) ) ] )
% 131.13/131.61 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.13/131.61
% 131.13/131.61
% 131.13/131.61 eqswap(
% 131.13/131.61 clause( 16995, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 131.13/131.61 , clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 131.13/131.61 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 131.13/131.61
% 131.13/131.61
% 131.13/131.61 resolution(
% 131.13/131.61 clause( 16996, [ =( extension( X, Y, Z, Z ), Y ) ] )
% 131.13/131.61 , clause( 16995, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 131.13/131.61 , 1, clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 131.13/131.61 , 0, substitution( 0, [ :=( X, Y ), :=( Y, extension( X, Y, Z, Z ) ), :=( Z
% 131.13/131.61 , Z )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, Z
% 131.13/131.61 )] )).
% 131.13/131.61
% 131.13/131.61
% 131.13/131.61 subsumption(
% 131.13/131.61 clause( 264, [ =( extension( Y, X, Z, Z ), X ) ] )
% 131.13/131.61 , clause( 16996, [ =( extension( X, Y, Z, Z ), Y ) ] )
% 131.13/131.61 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 131.13/131.61 permutation( 0, [ ==>( 0, 0 )] ) ).
% 131.13/131.61
% 131.13/131.61
% 131.13/131.61 paramod(
% 131.13/131.61 clause( 16999, [ between( X, Y, Y ) ] )
% 131.13/131.61 , clause( 264, [ =( extension( Y, X, Z, Z ), X ) ] )
% 131.13/131.61 , 0, clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 131.13/131.61 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 131.13/131.61 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] )).
% 131.13/131.61
% 131.13/131.61
% 131.13/131.61 subsumption(
% 131.13/131.61 clause( 277, [ between( X, Y, Y ) ] )
% 131.13/131.61 , clause( 16999, [ between( X, Y, Y ) ] )
% 131.13/131.61 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 131.13/131.61 )] ) ).
% 131.13/131.61
% 131.13/131.61
% 131.13/131.61 eqswap(
% 131.13/131.61 clause( 17000, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 131.13/131.61 , clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 131.13/131.61 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 131.13/131.61
% 131.13/131.61
% 131.13/131.61 paramod(
% 131.13/131.61 clause( 17001, [ between( X, W, U ), ~( between( W, 'inner_pasch'( Y, X, Z
% 131.13/131.61 , T, U ), W ) ), ~( between( Y, X, Z ) ), ~( between( U, T, Z ) ) ] )
% 131.13/131.61 , clause( 17000, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 131.13/131.61 , 0, clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 131.13/131.61 Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 131.13/131.61 , 2, 2, substitution( 0, [ :=( X, W ), :=( Y, 'inner_pasch'( Y, X, Z, T, U
% 131.13/131.61 ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, U
% 131.13/131.61 ), :=( U, T )] )).
% 131.13/131.61
% 131.13/131.61
% 131.13/131.61 subsumption(
% 131.13/131.61 clause( 367, [ ~( between( X, Y, Z ) ), ~( between( U, T, Z ) ), between( Y
% 131.13/131.61 , W, U ), ~( between( W, 'inner_pasch'( X, Y, Z, T, U ), W ) ) ] )
% 131.13/131.61 , clause( 17001, [ between( X, W, U ), ~( between( W, 'inner_pasch'( Y, X,
% 131.13/131.61 Z, T, U ), W ) ), ~( between( Y, X, Z ) ), ~( between( U, T, Z ) ) ] )
% 131.13/131.61 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T ), :=( U
% 131.13/131.61 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 3 ), ==>( 2
% 131.13/131.61 , 0 ), ==>( 3, 1 )] ) ).
% 131.13/131.61
% 131.13/131.61
% 131.13/131.61 resolution(
% 131.13/131.61 clause( 22621, [ ~( between( Z, T, Y ) ), between( T, 'inner_pasch'( X, Y,
% 131.13/131.61 Y, T, Z ), X ) ] )
% 131.13/131.61 , clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U
% 131.13/131.61 , 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 131.13/131.61 , 0, clause( 277, [ between( X, Y, Y ) ] )
% 131.13/131.61 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Z ),
% 131.13/131.61 :=( U, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.13/131.61
% 131.13/131.61
% 131.13/131.61 subsumption(
% 131.13/131.61 clause( 386, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( T, Z, Z
% 131.13/131.61 , Y, X ), T ) ] )
% 131.13/131.61 , clause( 22621, [ ~( between( Z, T, Y ) ), between( T, 'inner_pasch'( X, Y
% 131.13/131.61 , Y, T, Z ), X ) ] )
% 131.13/131.61 , substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] ),
% 131.13/131.61 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 131.13/131.61
% 131.13/131.61
% 131.13/131.61 resolution(
% 131.13/131.61 clause( 22627, [ ~( between( X, Y, Y ) ), ~( between( Z, X, Y ) ), between(
% 131.13/131.61 Y, X, Z ), ~( between( Z, X, Y ) ) ] )
% 131.13/131.61 , clause( 367, [ ~( between( X, Y, Z ) ), ~( between( U, T, Z ) ), between(
% 131.13/131.61 Y, W, U ), ~( between( W, 'inner_pasch'( X, Y, Z, T, U ), W ) ) ] )
% 131.13/131.61 , 3, clause( 386, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( T,
% 131.13/131.61 Z, Z, Y, X ), T ) ] )
% 131.13/131.61 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, X ),
% 131.13/131.61 :=( U, Z ), :=( W, X )] ), substitution( 1, [ :=( X, Z ), :=( Y, X ),
% 131.22/131.61 :=( Z, Y ), :=( T, X )] )).
% 131.22/131.61
% 131.22/131.61
% 131.22/131.61 resolution(
% 131.22/131.61 clause( 22633, [ ~( between( Z, X, Y ) ), between( Y, X, Z ), ~( between( Z
% 131.22/131.61 , X, Y ) ) ] )
% 131.22/131.61 , clause( 22627, [ ~( between( X, Y, Y ) ), ~( between( Z, X, Y ) ),
% 131.22/131.61 between( Y, X, Z ), ~( between( Z, X, Y ) ) ] )
% 131.22/131.61 , 0, clause( 277, [ between( X, Y, Y ) ] )
% 131.22/131.61 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.22/131.61 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 131.22/131.61
% 131.22/131.61
% 131.22/131.61 factor(
% 131.22/131.61 clause( 22634, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 131.22/131.61 , clause( 22633, [ ~( between( Z, X, Y ) ), between( Y, X, Z ), ~( between(
% 131.22/131.61 Z, X, Y ) ) ] )
% 131.22/131.61 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 131.22/131.61
% 131.22/131.61
% 131.22/131.61 subsumption(
% 131.22/131.61 clause( 16306, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 131.22/131.61 , clause( 22634, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 131.22/131.61 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 131.22/131.61 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 131.22/131.61
% 131.22/131.61
% 131.22/131.61 resolution(
% 131.22/131.61 clause( 22635, [ ~( between( u, w, v ) ) ] )
% 131.22/131.61 , clause( 89, [ ~( between( v, w, u ) ) ] )
% 131.22/131.61 , 0, clause( 16306, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 131.22/131.61 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, u ), :=( Y, w ), :=(
% 131.22/131.61 Z, v )] )).
% 131.22/131.61
% 131.22/131.61
% 131.22/131.61 resolution(
% 131.22/131.61 clause( 22636, [] )
% 131.22/131.61 , clause( 22635, [ ~( between( u, w, v ) ) ] )
% 131.22/131.61 , 0, clause( 22, [ between( u, w, v ) ] )
% 131.22/131.61 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 131.22/131.61
% 131.22/131.61
% 131.22/131.61 subsumption(
% 131.22/131.61 clause( 16685, [] )
% 131.22/131.61 , clause( 22636, [] )
% 131.22/131.61 , substitution( 0, [] ), permutation( 0, [] ) ).
% 131.22/131.61
% 131.22/131.61
% 131.22/131.61 end.
% 131.22/131.61
% 131.22/131.61 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 131.22/131.61
% 131.22/131.61 Memory use:
% 131.22/131.61
% 131.22/131.61 space for terms: 268895
% 131.22/131.61 space for clauses: 715508
% 131.22/131.61
% 131.22/131.61
% 131.22/131.61 clauses generated: 435888
% 131.22/131.61 clauses kept: 16686
% 131.22/131.61 clauses selected: 1165
% 131.22/131.61 clauses deleted: 178
% 131.22/131.61 clauses inuse deleted: 16
% 131.22/131.61
% 131.22/131.61 subsentry: 89414004
% 131.22/131.61 literals s-matched: 73727794
% 131.22/131.61 literals matched: 25016920
% 131.22/131.61 full subsumption: 24905548
% 131.22/131.61
% 131.22/131.61 checksum: -1593911626
% 131.22/131.61
% 131.22/131.61
% 131.22/131.61 Bliksem ended
%------------------------------------------------------------------------------