TSTP Solution File: GEO066-2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO066-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 4.26s 4.66s
% Output : Refutation 4.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GEO066-2 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.10 % Command : bliksem %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % DateTime : Sat Jun 18 09:42:47 EDT 2022
% 0.10/0.29 % CPUTime :
% 4.26/4.66 *** allocated 10000 integers for termspace/termends
% 4.26/4.66 *** allocated 10000 integers for clauses
% 4.26/4.66 *** allocated 10000 integers for justifications
% 4.26/4.66 Bliksem 1.12
% 4.26/4.66
% 4.26/4.66
% 4.26/4.66 Automatic Strategy Selection
% 4.26/4.66
% 4.26/4.66 Clauses:
% 4.26/4.66 [
% 4.26/4.66 [ equidistant( X, Y, Y, X ) ],
% 4.26/4.66 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 4.26/4.66 equidistant( Z, T, U, W ) ],
% 4.26/4.66 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 4.26/4.66 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 4.26/4.66 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 4.26/4.66 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 4.26/4.66 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 4.26/4.66 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 4.26/4.66 , V0, W, V1 ) ],
% 4.26/4.66 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 4.26/4.66 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 4.26/4.66 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 4.26/4.66 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 4.26/4.66 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 4.26/4.66 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 4.26/4.66 'lower_dimension_point_3' ) ) ],
% 4.26/4.66 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 4.26/4.66 'lower_dimension_point_1' ) ) ],
% 4.26/4.66 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 4.26/4.66 'lower_dimension_point_2' ) ) ],
% 4.26/4.66 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 4.26/4.66 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 4.26/4.66 between( U, X, T ), =( Y, Z ) ],
% 4.26/4.66 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 4.26/4.66 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 4.26/4.66 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 4.26/4.66 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 4.26/4.66 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 4.26/4.66 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 4.26/4.66 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 4.26/4.66 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 4.26/4.66 , Y, Z, W, T, U ), U ) ],
% 4.26/4.66 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 4.26/4.66 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 4.26/4.66 continuous( X, Y, Z, W, T, U ) ) ],
% 4.26/4.66 [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ],
% 4.26/4.66 [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ],
% 4.26/4.66 [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ],
% 4.26/4.66 [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y, Z, X ),
% 4.26/4.66 between( Z, X, Y ) ],
% 4.26/4.66 [ between( v, u, w ) ],
% 4.26/4.66 [ ~( colinear( u, v, w ) ) ]
% 4.26/4.66 ] .
% 4.26/4.66
% 4.26/4.66
% 4.26/4.66 percentage equality = 0.102941, percentage horn = 0.750000
% 4.26/4.66 This is a problem with some equality
% 4.26/4.66
% 4.26/4.66
% 4.26/4.66
% 4.26/4.66 Options Used:
% 4.26/4.66
% 4.26/4.66 useres = 1
% 4.26/4.66 useparamod = 1
% 4.26/4.66 useeqrefl = 1
% 4.26/4.66 useeqfact = 1
% 4.26/4.66 usefactor = 1
% 4.26/4.66 usesimpsplitting = 0
% 4.26/4.66 usesimpdemod = 5
% 4.26/4.66 usesimpres = 3
% 4.26/4.66
% 4.26/4.66 resimpinuse = 1000
% 4.26/4.66 resimpclauses = 20000
% 4.26/4.66 substype = eqrewr
% 4.26/4.66 backwardsubs = 1
% 4.26/4.66 selectoldest = 5
% 4.26/4.66
% 4.26/4.66 litorderings [0] = split
% 4.26/4.66 litorderings [1] = extend the termordering, first sorting on arguments
% 4.26/4.66
% 4.26/4.66 termordering = kbo
% 4.26/4.66
% 4.26/4.66 litapriori = 0
% 4.26/4.66 termapriori = 1
% 4.26/4.66 litaposteriori = 0
% 4.26/4.66 termaposteriori = 0
% 4.26/4.66 demodaposteriori = 0
% 4.26/4.66 ordereqreflfact = 0
% 4.26/4.66
% 4.26/4.66 litselect = negord
% 4.26/4.66
% 4.26/4.66 maxweight = 15
% 4.26/4.66 maxdepth = 30000
% 4.26/4.66 maxlength = 115
% 4.26/4.66 maxnrvars = 195
% 4.26/4.66 excuselevel = 1
% 4.26/4.66 increasemaxweight = 1
% 4.26/4.66
% 4.26/4.66 maxselected = 10000000
% 4.26/4.66 maxnrclauses = 10000000
% 4.26/4.66
% 4.26/4.66 showgenerated = 0
% 4.26/4.66 showkept = 0
% 4.26/4.66 showselected = 0
% 4.26/4.66 showdeleted = 0
% 4.26/4.66 showresimp = 1
% 4.26/4.66 showstatus = 2000
% 4.26/4.66
% 4.26/4.66 prologoutput = 1
% 4.26/4.66 nrgoals = 5000000
% 4.26/4.66 totalproof = 1
% 4.26/4.66
% 4.26/4.66 Symbols occurring in the translation:
% 4.26/4.66
% 4.26/4.66 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.26/4.66 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 4.26/4.66 ! [4, 1] (w:0, o:26, a:1, s:1, b:0),
% 4.26/4.66 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.26/4.66 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.26/4.66 equidistant [41, 4] (w:1, o:58, a:1, s:1, b:0),
% 4.26/4.66 extension [46, 4] (w:1, o:59, a:1, s:1, b:0),
% 4.26/4.66 between [47, 3] (w:1, o:56, a:1, s:1, b:0),
% 4.26/4.66 'inner_pasch' [53, 5] (w:1, o:60, a:1, s:1, b:0),
% 4.26/4.66 'lower_dimension_point_1' [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 4.26/4.66 'lower_dimension_point_2' [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 4.26/4.66 'lower_dimension_point_3' [56, 0] (w:1, o:22, a:1, s:1, b:0),
% 4.26/4.66 euclid1 [57, 5] (w:1, o:61, a:1, s:1, b:0),
% 4.26/4.66 euclid2 [58, 5] (w:1, o:62, a:1, s:1, b:0),
% 4.26/4.66 continuous [59, 6] (w:1, o:63, a:1, s:1, b:0),
% 4.26/4.66 colinear [60, 3] (w:1, o:57, a:1, s:1, b:0),
% 4.26/4.66 v [61, 0] (w:1, o:24, a:1, s:1, b:0),
% 4.26/4.66 u [62, 0] (w:1, o:23, a:1, s:1, b:0),
% 4.26/4.66 w [63, 0] (w:1, o:25, a:1, s:1, b:0).
% 4.26/4.66
% 4.26/4.66
% 4.26/4.66 Starting Search:
% 4.26/4.66
% 4.26/4.66 Resimplifying inuse:
% 4.26/4.66 Done
% 4.26/4.66
% 4.26/4.66
% 4.26/4.66 Intermediate Status:
% 4.26/4.66 Generated: 15599
% 4.26/4.66 Kept: 2549
% 4.26/4.66 Inuse: 171
% 4.26/4.66 Deleted: 16
% 4.26/4.66 Deletedinuse: 0
% 4.26/4.66
% 4.26/4.66 Resimplifying inuse:
% 4.26/4.66 Done
% 4.26/4.66
% 4.26/4.66 Resimplifying inuse:
% 4.26/4.66 Done
% 4.26/4.66
% 4.26/4.66
% 4.26/4.66 Intermediate Status:
% 4.26/4.66 Generated: 30017
% 4.26/4.66 Kept: 4551
% 4.26/4.66 Inuse: 307
% 4.26/4.66 Deleted: 34
% 4.26/4.66 Deletedinuse: 1
% 4.26/4.66
% 4.26/4.66 Resimplifying inuse:
% 4.26/4.66 Done
% 4.26/4.66
% 4.26/4.66 Resimplifying inuse:
% 4.26/4.66 Done
% 4.26/4.66
% 4.26/4.66
% 4.26/4.66 Intermediate Status:
% 4.26/4.66 Generated: 53244
% 4.26/4.66 Kept: 6556
% 4.26/4.66 Inuse: 540
% 4.26/4.66 Deleted: 46
% 4.26/4.66 Deletedinuse: 1
% 4.26/4.66
% 4.26/4.66 Resimplifying inuse:
% 4.26/4.66 Done
% 4.26/4.66
% 4.26/4.66 Resimplifying inuse:
% 4.26/4.66 Done
% 4.26/4.66
% 4.26/4.66
% 4.26/4.66 Intermediate Status:
% 4.26/4.66 Generated: 71554
% 4.26/4.66 Kept: 8651
% 4.26/4.66 Inuse: 662
% 4.26/4.66 Deleted: 50
% 4.26/4.66 Deletedinuse: 1
% 4.26/4.66
% 4.26/4.66 Resimplifying inuse:
% 4.26/4.66 Done
% 4.26/4.66
% 4.26/4.66 Resimplifying inuse:
% 4.26/4.66 Done
% 4.26/4.66
% 4.26/4.66
% 4.26/4.66 Intermediate Status:
% 4.26/4.66 Generated: 247423
% 4.26/4.66 Kept: 10657
% 4.26/4.66 Inuse: 806
% 4.26/4.66 Deleted: 114
% 4.26/4.66 Deletedinuse: 1
% 4.26/4.66
% 4.26/4.66 Resimplifying inuse:
% 4.26/4.66 Done
% 4.26/4.66
% 4.26/4.66 Resimplifying inuse:
% 4.26/4.66 Done
% 4.26/4.66
% 4.26/4.66
% 4.26/4.66 Intermediate Status:
% 4.26/4.66 Generated: 331645
% 4.26/4.66 Kept: 12686
% 4.26/4.66 Inuse: 938
% 4.26/4.66 Deleted: 115
% 4.26/4.66 Deletedinuse: 1
% 4.26/4.66
% 4.26/4.66 Resimplifying inuse:
% 4.26/4.66 Done
% 4.26/4.66
% 4.26/4.66
% 4.26/4.66 Bliksems!, er is een bewijs:
% 4.26/4.66 % SZS status Unsatisfiable
% 4.26/4.66 % SZS output start Refutation
% 4.26/4.66
% 4.26/4.66 clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 4.26/4.66 .
% 4.26/4.66 clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 4.26/4.66 .
% 4.26/4.66 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 4.26/4.66 .
% 4.26/4.66 clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 4.26/4.66 .
% 4.26/4.66 clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 4.26/4.66 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 4.26/4.66 .
% 4.26/4.66 clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 4.26/4.66 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 4.26/4.66 .
% 4.26/4.66 clause( 20, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 4.26/4.66 .
% 4.26/4.66 clause( 22, [ between( v, u, w ) ] )
% 4.26/4.66 .
% 4.26/4.66 clause( 23, [ ~( colinear( u, v, w ) ) ] )
% 4.26/4.66 .
% 4.26/4.66 clause( 70, [ ~( between( w, u, v ) ) ] )
% 4.26/4.66 .
% 4.26/4.66 clause( 79, [ ~( between( w, X, v ) ), ~( between( u, X, u ) ) ] )
% 4.26/4.66 .
% 4.26/4.66 clause( 243, [ =( extension( Y, X, Z, Z ), X ) ] )
% 4.26/4.66 .
% 4.26/4.66 clause( 251, [ between( X, Y, Y ) ] )
% 4.26/4.66 .
% 4.26/4.66 clause( 327, [ ~( between( X, Y, w ) ), between( Y, 'inner_pasch'( X, Y, w
% 4.26/4.66 , u, v ), v ) ] )
% 4.26/4.66 .
% 4.26/4.66 clause( 13038, [ ~( between( u, 'inner_pasch'( X, w, w, u, v ), u ) ) ] )
% 4.26/4.66 .
% 4.26/4.66 clause( 13210, [ ~( between( v, u, w ) ) ] )
% 4.26/4.66 .
% 4.26/4.66 clause( 13234, [] )
% 4.26/4.66 .
% 4.26/4.66
% 4.26/4.66
% 4.26/4.66 % SZS output end Refutation
% 4.26/4.66 found a proof!
% 4.26/4.66
% 4.26/4.66 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 4.26/4.66
% 4.26/4.66 initialclauses(
% 4.26/4.66 [ clause( 13236, [ equidistant( X, Y, Y, X ) ] )
% 4.26/4.66 , clause( 13237, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 4.26/4.66 , W ) ), equidistant( Z, T, U, W ) ] )
% 4.26/4.66 , clause( 13238, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 4.26/4.66 , clause( 13239, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 4.26/4.66 , clause( 13240, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 4.26/4.66 , clause( 13241, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 4.26/4.66 , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 4.26/4.66 ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 4.26/4.66 equidistant( U, V0, W, V1 ) ] )
% 4.26/4.66 , clause( 13242, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 4.26/4.66 , clause( 13243, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 4.26/4.66 between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 4.26/4.66 , clause( 13244, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 4.26/4.66 between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 4.26/4.66 , clause( 13245, [ ~( between( 'lower_dimension_point_1',
% 4.26/4.66 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 4.26/4.66 , clause( 13246, [ ~( between( 'lower_dimension_point_2',
% 4.26/4.66 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 4.26/4.66 , clause( 13247, [ ~( between( 'lower_dimension_point_3',
% 4.26/4.66 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 4.26/4.66 , clause( 13248, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 4.26/4.66 , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T,
% 4.26/4.66 U, X ), between( U, X, T ), =( Y, Z ) ] )
% 4.26/4.66 , clause( 13249, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 4.26/4.66 Y ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 4.26/4.66 , clause( 13250, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 4.26/4.66 Y ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 4.26/4.66 , clause( 13251, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 4.26/4.66 Y ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ]
% 4.26/4.66 )
% 4.26/4.66 , clause( 13252, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 4.26/4.66 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 4.26/4.66 continuous( X, Y, Z, W, T, U ), U ) ] )
% 4.26/4.66 , clause( 13253, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 4.26/4.66 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 4.26/4.66 , W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 4.26/4.66 , clause( 13254, [ ~( between( X, Y, Z ) ), colinear( X, Y, Z ) ] )
% 4.26/4.66 , clause( 13255, [ ~( between( X, Y, Z ) ), colinear( Z, X, Y ) ] )
% 4.26/4.66 , clause( 13256, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 4.26/4.66 , clause( 13257, [ ~( colinear( X, Y, Z ) ), between( X, Y, Z ), between( Y
% 4.26/4.66 , Z, X ), between( Z, X, Y ) ] )
% 4.26/4.66 , clause( 13258, [ between( v, u, w ) ] )
% 4.26/4.66 , clause( 13259, [ ~( colinear( u, v, w ) ) ] )
% 4.26/4.66 ] ).
% 4.26/4.66
% 4.26/4.66
% 4.26/4.66
% 4.26/4.66 subsumption(
% 4.26/4.66 clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 4.26/4.66 , clause( 13238, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 4.26/4.66 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.26/4.66 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 4.26/4.66
% 4.26/4.66
% 4.26/4.66 subsumption(
% 4.26/4.66 clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 4.26/4.66 , clause( 13239, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 4.26/4.66 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.26/4.66 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.26/4.66
% 4.26/4.66
% 4.26/4.66 subsumption(
% 4.26/4.66 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 4.26/4.66 , clause( 13240, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 4.26/4.66 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 4.26/4.66 permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.26/4.66
% 4.26/4.66
% 4.26/4.66 subsumption(
% 4.26/4.66 clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 4.26/4.66 , clause( 13242, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 4.26/4.66 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 4.26/4.66 ), ==>( 1, 1 )] ) ).
% 4.26/4.66
% 4.26/4.66
% 4.26/4.66 subsumption(
% 4.26/4.66 clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 4.26/4.66 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 4.26/4.66 , clause( 13243, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 4.26/4.66 between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 4.26/4.66 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 4.26/4.66 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 4.26/4.66 ).
% 4.26/4.66
% 4.26/4.66
% 4.26/4.66 subsumption(
% 4.26/4.66 clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 4.26/4.66 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 4.26/4.66 , clause( 13244, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 4.26/4.66 between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 4.26/4.66 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 4.26/4.66 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 4.26/4.66 ).
% 4.26/4.66
% 4.26/4.66
% 4.26/4.66 subsumption(
% 4.26/4.66 clause( 20, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 4.26/4.66 , clause( 13256, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 4.26/4.66 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 4.26/4.66 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 4.26/4.66
% 4.26/4.66
% 4.26/4.66 subsumption(
% 4.26/4.66 clause( 22, [ between( v, u, w ) ] )
% 4.26/4.66 , clause( 13258, [ between( v, u, w ) ] )
% 4.26/4.66 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.26/4.66
% 4.26/4.66
% 4.26/4.66 subsumption(
% 4.26/4.66 clause( 23, [ ~( colinear( u, v, w ) ) ] )
% 4.26/4.66 , clause( 13259, [ ~( colinear( u, v, w ) ) ] )
% 4.26/4.66 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 4.26/4.66
% 4.26/4.66
% 4.26/4.66 resolution(
% 4.26/4.66 clause( 13543, [ ~( between( w, u, v ) ) ] )
% 4.26/4.66 , clause( 23, [ ~( colinear( u, v, w ) ) ] )
% 4.26/4.66 , 0, clause( 20, [ ~( between( X, Y, Z ) ), colinear( Y, Z, X ) ] )
% 4.26/4.66 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, w ), :=( Y, u ), :=(
% 4.26/4.66 Z, v )] )).
% 300.01/300.41 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------