%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO064-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:51:19 EDT 2022
% Result : Unsatisfiable 4.30s 4.72s
% Output : Refutation 4.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO064-2 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jun 18 00:45:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 4.30/4.72 *** allocated 10000 integers for termspace/termends
% 4.30/4.72 *** allocated 10000 integers for clauses
% 4.30/4.72 *** allocated 10000 integers for justifications
% 4.30/4.72 Bliksem 1.12
% 4.30/4.72
% 4.30/4.72
% 4.30/4.72 Automatic Strategy Selection
% 4.30/4.72
% 4.30/4.72 Clauses:
% 4.30/4.72 [
% 4.30/4.72 [ equidistant( X, Y, Y, X ) ],
% 4.30/4.72 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 4.30/4.72 equidistant( Z, T, U, W ) ],
% 4.30/4.72 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 4.30/4.72 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 4.30/4.72 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 4.30/4.72 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 4.30/4.72 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 4.30/4.72 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 4.30/4.72 , V0, W, V1 ) ],
% 4.30/4.72 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 4.30/4.72 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 4.30/4.72 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 4.30/4.72 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 4.30/4.72 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 4.30/4.72 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 4.30/4.72 'lower_dimension_point_3' ) ) ],
% 4.30/4.72 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 4.30/4.72 'lower_dimension_point_1' ) ) ],
% 4.30/4.72 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 4.30/4.72 'lower_dimension_point_2' ) ) ],
% 4.30/4.72 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 4.30/4.72 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 4.30/4.72 between( U, X, T ), =( Y, Z ) ],
% 4.30/4.72 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 4.30/4.72 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 4.30/4.72 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 4.30/4.72 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 4.30/4.72 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 4.30/4.72 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 4.30/4.72 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 4.30/4.72 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 4.30/4.72 , Y, Z, W, T, U ), U ) ],
% 4.30/4.72 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 4.30/4.72 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 4.30/4.72 continuous( X, Y, Z, W, T, U ) ) ],
% 4.30/4.72 [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ],
% 4.30/4.72 [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ],
% 4.30/4.72 [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ],
% 4.30/4.72 [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z, X ),
% 4.30/4.72 between( Z, X, Y ) ],
% 4.30/4.72 [ between( w, v, u ) ],
% 4.30/4.72 [ ~( colinear( u, v, w ) ) ]
% 4.30/4.72 ] .
% 4.30/4.72
% 4.30/4.72
% 4.30/4.72 percentage equality = 0.102941, percentage horn = 0.750000
% 4.30/4.72 This is a problem with some equality
% 4.30/4.72
% 4.30/4.72
% 4.30/4.72
% 4.30/4.72 Options Used:
% 4.30/4.72
% 4.30/4.72 useres = 1
% 4.30/4.72 useparamod = 1
% 4.30/4.72 useeqrefl = 1
% 4.30/4.72 useeqfact = 1
% 4.30/4.72 usefactor = 1
% 4.30/4.72 usesimpsplitting = 0
% 4.30/4.72 usesimpdemod = 5
% 4.30/4.72 usesimpres = 3
% 4.30/4.72
% 4.30/4.72 resimpinuse = 1000
% 4.30/4.72 resimpclauses = 20000
% 4.30/4.72 substype = eqrewr
% 4.30/4.72 backwardsubs = 1
% 4.30/4.72 selectoldest = 5
% 4.30/4.72
% 4.30/4.72 litorderings [0] = split
% 4.30/4.72 litorderings [1] = extend the termordering, first sorting on arguments
% 4.30/4.72
% 4.30/4.72 termordering = kbo
% 4.30/4.72
% 4.30/4.72 litapriori = 0
% 4.30/4.72 termapriori = 1
% 4.30/4.72 litaposteriori = 0
% 4.30/4.72 termaposteriori = 0
% 4.30/4.72 demodaposteriori = 0
% 4.30/4.72 ordereqreflfact = 0
% 4.30/4.72
% 4.30/4.72 litselect = negord
% 4.30/4.72
% 4.30/4.72 maxweight = 15
% 4.30/4.72 maxdepth = 30000
% 4.30/4.72 maxlength = 115
% 4.30/4.72 maxnrvars = 195
% 4.30/4.72 excuselevel = 1
% 4.30/4.72 increasemaxweight = 1
% 4.30/4.72
% 4.30/4.72 maxselected = 10000000
% 4.30/4.72 maxnrclauses = 10000000
% 4.30/4.72
% 4.30/4.72 showgenerated = 0
% 4.30/4.72 showkept = 0
% 4.30/4.72 showselected = 0
% 4.30/4.72 showdeleted = 0
% 4.30/4.72 showresimp = 1
% 4.30/4.72 showstatus = 2000
% 4.30/4.72
% 4.30/4.72 prologoutput = 1
% 4.30/4.72 nrgoals = 5000000
% 4.30/4.72 totalproof = 1
% 4.30/4.72
% 4.30/4.72 Symbols occurring in the translation:
% 4.30/4.72
% 4.30/4.72 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.30/4.72 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 4.30/4.72 ! [4, 1] (w:0, o:26, a:1, s:1, b:0),
% 4.30/4.72 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.30/4.72 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.30/4.72 equidistant [41, 4] (w:1, o:58, a:1, s:1, b:0),
% 4.30/4.72 extension [46, 4] (w:1, o:59, a:1, s:1, b:0),
% 4.30/4.72 between [47, 3] (w:1, o:56, a:1, s:1, b:0),
% 4.30/4.72 'inner_pasch' [53, 5] (w:1, o:60, a:1, s:1, b:0),
% 4.30/4.72 'lower_dimension_point_1' [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 4.30/4.72 'lower_dimension_point_2' [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 4.30/4.72 'lower_dimension_point_3' [56, 0] (w:1, o:22, a:1, s:1, b:0),
% 4.30/4.72 euclid1 [57, 5] (w:1, o:61, a:1, s:1, b:0),
% 4.30/4.72 euclid2 [58, 5] (w:1, o:62, a:1, s:1, b:0),
% 4.30/4.72 continuous [59, 6] (w:1, o:63, a:1, s:1, b:0),
% 4.30/4.72 colinear [60, 3] (w:1, o:57, a:1, s:1, b:0),
% 4.30/4.72 w [61, 0] (w:1, o:25, a:1, s:1, b:0),
% 4.30/4.72 v [62, 0] (w:1, o:24, a:1, s:1, b:0),
% 4.30/4.72 u [63, 0] (w:1, o:23, a:1, s:1, b:0).
% 4.30/4.72
% 4.30/4.72
% 4.30/4.72 Starting Search:
% 4.30/4.72
% 4.30/4.72 Resimplifying inuse:
% 4.30/4.72 Done
% 4.30/4.72
% 4.30/4.72
% 4.30/4.72 Intermediate Status:
% 4.30/4.72 Generated: 15599
% 4.30/4.72 Kept: 2553
% 4.30/4.72 Inuse: 171
% 4.30/4.72 Deleted: 16
% 4.30/4.72 Deletedinuse: 0
% 4.30/4.72
% 4.30/4.72 Resimplifying inuse:
% 4.30/4.72 Done
% 4.30/4.72
% 4.30/4.72 Resimplifying inuse:
% 4.30/4.72 Done
% 4.30/4.72
% 4.30/4.72
% 4.30/4.72 Intermediate Status:
% 4.30/4.72 Generated: 30020
% 4.30/4.72 Kept: 4559
% 4.30/4.72 Inuse: 307
% 4.30/4.72 Deleted: 38
% 4.30/4.72 Deletedinuse: 1
% 4.30/4.72
% 4.30/4.72 Resimplifying inuse:
% 4.30/4.72 Done
% 4.30/4.72
% 4.30/4.72 Resimplifying inuse:
% 4.30/4.72 Done
% 4.30/4.72
% 4.30/4.72
% 4.30/4.72 Intermediate Status:
% 4.30/4.72 Generated: 53419
% 4.30/4.72 Kept: 6567
% 4.30/4.72 Inuse: 541
% 4.30/4.72 Deleted: 50
% 4.30/4.72 Deletedinuse: 1
% 4.30/4.72
% 4.30/4.72 Resimplifying inuse:
% 4.30/4.72 Done
% 4.30/4.72
% 4.30/4.72 Resimplifying inuse:
% 4.30/4.72 Done
% 4.30/4.72
% 4.30/4.72
% 4.30/4.72 Intermediate Status:
% 4.30/4.72 Generated: 71538
% 4.30/4.72 Kept: 8655
% 4.30/4.72 Inuse: 662
% 4.30/4.72 Deleted: 50
% 4.30/4.72 Deletedinuse: 1
% 4.30/4.72
% 4.30/4.72 Resimplifying inuse:
% 4.30/4.72 Done
% 4.30/4.72
% 4.30/4.72 Resimplifying inuse:
% 4.30/4.72 Done
% 4.30/4.72
% 4.30/4.72
% 4.30/4.72 Intermediate Status:
% 4.30/4.72 Generated: 248985
% 4.30/4.72 Kept: 10661
% 4.30/4.72 Inuse: 807
% 4.30/4.72 Deleted: 118
% 4.30/4.72 Deletedinuse: 1
% 4.30/4.72
% 4.30/4.72 Resimplifying inuse:
% 4.30/4.72 Done
% 4.30/4.72
% 4.30/4.72 Resimplifying inuse:
% 4.30/4.72 Done
% 4.30/4.72
% 4.30/4.72
% 4.30/4.72 Intermediate Status:
% 4.30/4.72 Generated: 330192
% 4.30/4.72 Kept: 12674
% 4.30/4.72 Inuse: 934
% 4.30/4.72 Deleted: 119
% 4.30/4.72 Deletedinuse: 1
% 4.30/4.72
% 4.30/4.72 Resimplifying inuse:
% 4.30/4.72 Done
% 4.30/4.72
% 4.30/4.72
% 4.30/4.72 Bliksems!, er is een bewijs:
% 4.30/4.72 % SZS status Unsatisfiable
% 4.30/4.72 % SZS output start Refutation
% 4.30/4.72
% 4.30/4.72 clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 4.30/4.72 .
% 4.30/4.72 clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 4.30/4.72 .
% 4.30/4.72 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 4.30/4.72 .
% 4.30/4.72 clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 4.30/4.72 .
% 4.30/4.72 clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 4.30/4.72 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 4.30/4.72 .
% 4.30/4.72 clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 4.30/4.72 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 4.30/4.72 .
% 4.30/4.72 clause( 18, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 4.30/4.72 .
% 4.30/4.72 clause( 22, [ between( w, v, u ) ] )
% 4.30/4.72 .
% 4.30/4.72 clause( 23, [ ~( colinear( u, v, w ) ) ] )
% 4.30/4.72 .
% 4.30/4.72 clause( 103, [ ~( between( u, v, w ) ) ] )
% 4.30/4.72 .
% 4.30/4.72 clause( 179, [ ~( between( u, X, w ) ), ~( between( v, X, v ) ) ] )
% 4.30/4.72 .
% 4.30/4.72 clause( 243, [ =( extension( Y, X, Z, Z ), X ) ] )
% 4.30/4.72 .
% 4.30/4.72 clause( 251, [ between( X, Y, Y ) ] )
% 4.30/4.72 .
% 4.30/4.72 clause( 327, [ ~( between( X, Y, u ) ), between( Y, 'inner_pasch'( X, Y, u
% 4.30/4.72 , v, w ), w ) ] )
% 4.30/4.72 .
% 4.30/4.72 clause( 13029, [ ~( between( v, 'inner_pasch'( X, u, u, v, w ), v ) ) ] )
% 4.30/4.72 .
% 4.30/4.72 clause( 13201, [ ~( between( w, v, u ) ) ] )
% 4.30/4.72 .
% 4.30/4.72 clause( 13225, [] )
% 4.30/4.72 .
% 4.30/4.72
% 4.30/4.72
% 4.30/4.72 % SZS output end Refutation
% 4.30/4.72 found a proof!
% 4.30/4.72
% 4.30/4.72 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.30/4.72
% 4.30/4.72 initialclauses(
% 4.30/4.72 [ clause( 13227, [ equidistant( X, Y, Y, X ) ] )
% 4.30/4.72 , clause( 13228, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 4.30/4.72 , W ) ), equidistant( Z, T, U, W ) ] )
% 4.30/4.72 , clause( 13229, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 4.30/4.72 , clause( 13230, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 4.30/4.72 , clause( 13231, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 4.30/4.72 , clause( 13232, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 4.30/4.72 , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 4.30/4.72 ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 4.30/4.72 equidistant( U, V0, W, V1 ) ] )
% 4.30/4.72 , clause( 13233, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 4.30/4.72 , clause( 13234, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 4.30/4.72 between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 4.30/4.72 , clause( 13235, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 4.30/4.72 between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 4.30/4.72 , clause( 13236, [ ~( between( 'lower_dimension_point_1',
% 4.30/4.72 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 4.30/4.72 , clause( 13237, [ ~( between( 'lower_dimension_point_2',
% 4.30/4.72 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 4.30/4.72 , clause( 13238, [ ~( between( 'lower_dimension_point_3',
% 4.30/4.72 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 4.30/4.72 , clause( 13239, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 4.30/4.72 , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T,
% 4.30/4.72 U, X ), between( U, X, T ), =( Y, Z ) ] )
% 4.30/4.72 , clause( 13240, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 4.30/4.72 Y ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 4.30/4.72 , clause( 13241, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 4.30/4.72 Y ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 4.30/4.72 , clause( 13242, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 4.30/4.72 Y ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ]
% 4.30/4.72 )
% 4.30/4.72 , clause( 13243, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 4.30/4.72 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 4.30/4.72 continuous( X, Y, Z, W, T, U ), U ) ] )
% 4.30/4.72 , clause( 13244, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 4.30/4.72 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 4.30/4.72 , W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 4.30/4.72 , clause( 13245, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 4.30/4.72 , clause( 13246, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 4.30/4.72 , clause( 13247, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 4.30/4.72 , clause( 13248, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 4.30/4.72 , Z, X ), between( Z, X, Y ) ] )
% 4.30/4.72 , clause( 13249, [ between( w, v, u ) ] )
% 4.30/4.72 , clause( 13250, [ ~( colinear( u, v, w ) ) ] )
% 4.30/4.72 ] ).
% 4.30/4.72
% 4.30/4.72
% 4.30/4.72
% 4.30/4.72 subsumption(
% 4.30/4.72 clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 4.30/4.72 , clause( 13229, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 4.30/4.72 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.30/4.72 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 4.30/4.72
% 4.30/4.72
% 4.30/4.72 subsumption(
% 4.30/4.72 clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 4.30/4.72 , clause( 13230, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 4.30/4.72 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.30/4.72 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.30/4.72
% 4.30/4.72
% 4.30/4.72 subsumption(
% 4.30/4.72 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 4.30/4.72 , clause( 13231, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 4.30/4.72 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.30/4.72 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.30/4.72
% 4.30/4.72
% 4.30/4.72 subsumption(
% 4.30/4.72 clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 4.30/4.72 , clause( 13233, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 4.30/4.72 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.30/4.72 ), ==>( 1, 1 )] ) ).
% 4.30/4.72
% 4.30/4.72
% 4.30/4.72 subsumption(
% 4.30/4.72 clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 4.30/4.72 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 4.30/4.72 , clause( 13234, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 4.30/4.72 between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 4.30/4.72 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 4.30/4.72 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 4.30/4.72 ).
% 4.30/4.72
% 4.30/4.72
% 4.30/4.72 subsumption(
% 4.30/4.72 clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 4.30/4.72 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 4.30/4.72 , clause( 13235, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 4.30/4.72 between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 4.30/4.72 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 4.30/4.72 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 4.30/4.72 ).
% 4.30/4.72
% 4.30/4.72
% 4.30/4.72 subsumption(
% 4.30/4.72 clause( 18, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 4.30/4.72 , clause( 13245, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 4.30/4.72 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.30/4.72 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 4.30/4.72
% 4.30/4.72
% 4.30/4.72 subsumption(
% 4.30/4.72 clause( 22, [ between( w, v, u ) ] )
% 4.30/4.72 , clause( 13249, [ between( w, v, u ) ] )
% 4.30/4.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.30/4.72
% 4.30/4.72
% 4.30/4.72 subsumption(
% 4.30/4.72 clause( 23, [ ~( colinear( u, v, w ) ) ] )
% 4.30/4.72 , clause( 13250, [ ~( colinear( u, v, w ) ) ] )
% 4.30/4.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.30/4.72
% 4.30/4.72
% 4.30/4.72 resolution(
% 4.30/4.72 clause( 13534, [ ~( between( u, v, w ) ) ] )
% 4.30/4.72 , clause( 23, [ ~( colinear( u, v, w ) ) ] )
% 4.30/4.72 , 0, clause( 18, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 4.30/4.72 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, u ), :=( Y, v ), :=(
% 4.30/4.72 Z, w )] ))Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------