TSTP Solution File: GEO045-3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO045-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 02:51:09 EDT 2022
% Result : Unsatisfiable 93.01s 93.41s
% Output : Refutation 93.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO045-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sat Jun 18 15:06:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.98/2.39 *** allocated 10000 integers for termspace/termends
% 1.98/2.39 *** allocated 10000 integers for clauses
% 1.98/2.39 *** allocated 10000 integers for justifications
% 1.98/2.39 Bliksem 1.12
% 1.98/2.39
% 1.98/2.39
% 1.98/2.39 Automatic Strategy Selection
% 1.98/2.39
% 1.98/2.39 Clauses:
% 1.98/2.39 [
% 1.98/2.39 [ equidistant( X, Y, Y, X ) ],
% 1.98/2.39 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 1.98/2.39 equidistant( Z, T, U, W ) ],
% 1.98/2.39 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 1.98/2.39 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 1.98/2.39 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 1.98/2.39 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 1.98/2.39 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 1.98/2.39 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 1.98/2.39 , V0, W, V1 ) ],
% 1.98/2.39 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 1.98/2.39 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 1.98/2.39 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 1.98/2.39 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 1.98/2.39 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 1.98/2.39 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 1.98/2.39 'lower_dimension_point_3' ) ) ],
% 1.98/2.39 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 1.98/2.39 'lower_dimension_point_1' ) ) ],
% 1.98/2.39 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 1.98/2.39 'lower_dimension_point_2' ) ) ],
% 1.98/2.39 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 1.98/2.39 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 1.98/2.39 between( U, X, T ), =( Y, Z ) ],
% 1.98/2.39 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 1.98/2.39 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 1.98/2.39 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 1.98/2.39 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 1.98/2.39 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 1.98/2.39 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 1.98/2.39 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 1.98/2.39 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 1.98/2.39 , Y, Z, W, T, U ), U ) ],
% 1.98/2.39 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 1.98/2.39 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 1.98/2.39 continuous( X, Y, Z, W, T, U ) ) ],
% 1.98/2.39 [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ],
% 1.98/2.39 [ equidistant( X, Y, X, Y ) ],
% 1.98/2.39 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y ) ],
% 1.98/2.39 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T ) ],
% 1.98/2.39 [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z ) ],
% 1.98/2.39 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z ) ],
% 1.98/2.39 [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X ) ],
% 1.98/2.39 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y ) ],
% 1.98/2.39 [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X ) ],
% 1.98/2.39 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U, W ) ),
% 1.98/2.39 equidistant( X, Y, U, W ) ],
% 1.98/2.39 [ =( X, extension( Y, X, Z, Z ) ) ],
% 1.98/2.39 [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ],
% 1.98/2.39 [ between( X, Y, reflection( X, Y ) ) ],
% 1.98/2.39 [ equidistant( X, reflection( Y, X ), Y, X ) ],
% 1.98/2.39 [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ],
% 1.98/2.39 [ =( X, reflection( X, X ) ) ],
% 1.98/2.39 [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ],
% 1.98/2.39 [ equidistant( X, X, Y, Y ) ],
% 1.98/2.39 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 1.98/2.39 between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X, U, Z, W )
% 1.98/2.39 ],
% 1.98/2.39 [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~( equidistant( Y, Z
% 1.98/2.39 , Y, T ) ), =( X, Y ), =( Z, T ) ],
% 1.98/2.39 [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X, Y, Y, Z ) ) ]
% 1.98/2.39 ,
% 1.98/2.39 [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y ), extension(
% 1.98/2.39 U, W, Z, T ) ), =( U, W ) ],
% 1.98/2.39 [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ), =( X, Y ) ]
% 1.98/2.39 ,
% 1.98/2.39 [ equidistant( X, Y, X, reflection( reflection( Y, X ), X ) ) ],
% 1.98/2.39 [ =( X, reflection( reflection( X, Y ), Y ) ) ],
% 1.98/2.39 [ between( X, Y, Y ) ],
% 1.98/2.39 [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y, Z ) ],
% 1.98/2.39 [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ],
% 1.98/2.39 [ between( X, X, Y ) ],
% 1.98/2.39 [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ) ],
% 92.17/92.57 [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y, Z ) ],
% 92.17/92.57 [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y ), =( Y, Z )
% 92.17/92.57 ],
% 92.17/92.57 [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X, Y ), =( Y, Z )
% 92.17/92.57 ],
% 92.17/92.57 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Y, Z ) ]
% 92.17/92.57 ,
% 92.17/92.57 [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ), between( Y, Z, T ) ]
% 92.17/92.57 ,
% 92.17/92.57 [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X, Z, T ),
% 92.17/92.57 =( Y, Z ) ],
% 92.17/92.57 [ between( u, v, w ) ],
% 92.17/92.57 [ between( v, w, x ) ],
% 92.17/92.57 [ ~( =( v, w ) ) ],
% 92.17/92.57 [ ~( between( u, v, x ) ) ]
% 92.17/92.57 ] .
% 92.17/92.57
% 92.17/92.57
% 92.17/92.57 percentage equality = 0.223077, percentage horn = 0.818182
% 92.17/92.57 This is a problem with some equality
% 92.17/92.57
% 92.17/92.57
% 92.17/92.57
% 92.17/92.57 Options Used:
% 92.17/92.57
% 92.17/92.57 useres = 1
% 92.17/92.57 useparamod = 1
% 92.17/92.57 useeqrefl = 1
% 92.17/92.57 useeqfact = 1
% 92.17/92.57 usefactor = 1
% 92.17/92.57 usesimpsplitting = 0
% 92.17/92.57 usesimpdemod = 5
% 92.17/92.57 usesimpres = 3
% 92.17/92.57
% 92.17/92.57 resimpinuse = 1000
% 92.17/92.57 resimpclauses = 20000
% 92.17/92.57 substype = eqrewr
% 92.17/92.57 backwardsubs = 1
% 92.17/92.57 selectoldest = 5
% 92.17/92.57
% 92.17/92.57 litorderings [0] = split
% 92.17/92.57 litorderings [1] = extend the termordering, first sorting on arguments
% 92.17/92.57
% 92.17/92.57 termordering = kbo
% 92.17/92.57
% 92.17/92.57 litapriori = 0
% 92.17/92.57 termapriori = 1
% 92.17/92.57 litaposteriori = 0
% 92.17/92.57 termaposteriori = 0
% 92.17/92.57 demodaposteriori = 0
% 92.17/92.57 ordereqreflfact = 0
% 92.17/92.57
% 92.17/92.57 litselect = negord
% 92.17/92.57
% 92.17/92.57 maxweight = 15
% 92.17/92.57 maxdepth = 30000
% 92.17/92.57 maxlength = 115
% 92.17/92.57 maxnrvars = 195
% 92.17/92.57 excuselevel = 1
% 92.17/92.57 increasemaxweight = 1
% 92.17/92.57
% 92.17/92.57 maxselected = 10000000
% 92.17/92.57 maxnrclauses = 10000000
% 92.17/92.57
% 92.17/92.57 showgenerated = 0
% 92.17/92.57 showkept = 0
% 92.17/92.57 showselected = 0
% 92.17/92.57 showdeleted = 0
% 92.17/92.57 showresimp = 1
% 92.17/92.57 showstatus = 2000
% 92.17/92.57
% 92.17/92.57 prologoutput = 1
% 92.17/92.57 nrgoals = 5000000
% 92.17/92.57 totalproof = 1
% 92.17/92.57
% 92.17/92.57 Symbols occurring in the translation:
% 92.17/92.57
% 92.17/92.57 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 92.17/92.57 . [1, 2] (w:1, o:34, a:1, s:1, b:0),
% 92.17/92.57 ! [4, 1] (w:0, o:29, a:1, s:1, b:0),
% 92.17/92.57 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 92.17/92.57 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 92.17/92.57 equidistant [41, 4] (w:1, o:61, a:1, s:1, b:0),
% 92.17/92.57 extension [46, 4] (w:1, o:62, a:1, s:1, b:0),
% 92.17/92.57 between [47, 3] (w:1, o:60, a:1, s:1, b:0),
% 92.17/92.57 'inner_pasch' [53, 5] (w:1, o:63, a:1, s:1, b:0),
% 92.17/92.57 'lower_dimension_point_1' [54, 0] (w:1, o:22, a:1, s:1, b:0),
% 92.17/92.57 'lower_dimension_point_2' [55, 0] (w:1, o:23, a:1, s:1, b:0),
% 92.17/92.57 'lower_dimension_point_3' [56, 0] (w:1, o:24, a:1, s:1, b:0),
% 92.17/92.57 euclid1 [57, 5] (w:1, o:64, a:1, s:1, b:0),
% 92.17/92.57 euclid2 [58, 5] (w:1, o:65, a:1, s:1, b:0),
% 92.17/92.57 continuous [59, 6] (w:1, o:66, a:1, s:1, b:0),
% 92.17/92.57 reflection [60, 2] (w:1, o:59, a:1, s:1, b:0),
% 92.17/92.57 u [63, 0] (w:1, o:25, a:1, s:1, b:0),
% 92.17/92.57 v [64, 0] (w:1, o:26, a:1, s:1, b:0),
% 92.17/92.57 w [65, 0] (w:1, o:27, a:1, s:1, b:0),
% 92.17/92.57 x [66, 0] (w:1, o:28, a:1, s:1, b:0).
% 92.17/92.57
% 92.17/92.57
% 92.17/92.57 Starting Search:
% 92.17/92.57
% 92.17/92.57 Resimplifying inuse:
% 92.17/92.57 Done
% 92.17/92.57
% 92.17/92.57
% 92.17/92.57 Intermediate Status:
% 92.17/92.57 Generated: 10165
% 92.17/92.57 Kept: 2079
% 92.17/92.57 Inuse: 129
% 92.17/92.57 Deleted: 0
% 92.17/92.57 Deletedinuse: 0
% 92.17/92.57
% 92.17/92.57 Resimplifying inuse:
% 92.17/92.57 Done
% 92.17/92.57
% 92.17/92.57 Resimplifying inuse:
% 92.17/92.57 Done
% 92.17/92.57
% 92.17/92.57
% 92.17/92.57 Intermediate Status:
% 92.17/92.57 Generated: 19188
% 92.17/92.57 Kept: 4082
% 92.17/92.57 Inuse: 163
% 92.17/92.57 Deleted: 1
% 92.17/92.57 Deletedinuse: 0
% 92.17/92.57
% 92.17/92.57 Resimplifying inuse:
% 92.17/92.57 Done
% 92.17/92.57
% 92.17/92.57 Resimplifying inuse:
% 92.17/92.57 Done
% 92.17/92.57
% 92.17/92.57
% 92.17/92.57 Intermediate Status:
% 92.17/92.57 Generated: 29743
% 92.17/92.57 Kept: 6098
% 92.17/92.57 Inuse: 201
% 92.17/92.57 Deleted: 2
% 92.17/92.57 Deletedinuse: 0
% 92.17/92.57
% 92.17/92.57 Resimplifying inuse:
% 92.17/92.57 Done
% 92.17/92.57
% 92.17/92.57 Resimplifying inuse:
% 92.17/92.57 Done
% 92.17/92.57
% 92.17/92.57
% 92.17/92.57 Intermediate Status:
% 92.17/92.57 Generated: 41875
% 92.17/92.57 Kept: 8118
% 92.17/92.57 Inuse: 270
% 92.17/92.57 Deleted: 10
% 92.17/92.57 Deletedinuse: 0
% 92.17/92.57
% 92.17/92.57 Resimplifying inuse:
% 92.17/92.57 Done
% 92.17/92.57
% 92.17/92.57 Resimplifying inuse:
% 92.17/92.57 Done
% 92.17/92.57
% 92.17/92.57
% 92.17/92.57 Intermediate Status:
% 92.17/92.57 Generated: 50285
% 92.17/92.57 Kept: 10146
% 92.17/92.57 Inuse: 302
% 92.17/92.57 Deleted: 10
% 92.17/92.57 Deletedinuse: 0
% 92.17/92.57
% 92.17/92.57 Resimplifying inuse:
% 92.17/92.57 Done
% 92.17/92.57
% 92.17/92.57 Resimplifying inuse:
% 92.17/92.57 Done
% 92.17/92.57
% 92.17/92.57
% 92.17/92.57 Intermediate Status:
% 92.17/92.57 Generated: 60514
% 92.17/92.57 Kept: 12194
% 92.17/92.57 Inuse: 357
% 92.17/92.57 Deleted: 10
% 92.17/92.57 Deletedinuse: 0
% 92.17/92.57
% 92.17/92.57 Resimplifying inuse:
% 92.17/92.57 Done
% 92.17/92.57
% 92.17/92.57 Resimplifying inuse:
% 92.17/92.57 Done
% 92.17/92.57
% 92.17/92.57
% 92.17/92.57 Intermediate Status:
% 92.17/92.57 Generated: 70614
% 92.17/92.57 Kept: 14223
% 92.17/92.57 Inuse: 406
% 92.17/92.57 Deleted: 10
% 92.17/92.57 Deletedinuse: 0
% 92.17/92.57
% 92.17/92.57 Resimplifying inuse:
% 92.17/92.57 Done
% 92.17/92.57
% 92.17/92.57 Resimplifying inuse:
% 92.17/92.57 Done
% 92.17/92.57
% 92.17/92.57
% 92.17/92.57 Intermediate Status:
% 92.17/92.57 Generated: 83747
% 92.17/92.57 Kept: 16237
% 92.17/92.57 Inuse: 475
% 93.01/93.41 Deleted: 18
% 93.01/93.41 Deletedinuse: 0
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 Intermediate Status:
% 93.01/93.41 Generated: 93805
% 93.01/93.41 Kept: 18258
% 93.01/93.41 Inuse: 533
% 93.01/93.41 Deleted: 18
% 93.01/93.41 Deletedinuse: 0
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41 Resimplifying clauses:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 Intermediate Status:
% 93.01/93.41 Generated: 105579
% 93.01/93.41 Kept: 20259
% 93.01/93.41 Inuse: 594
% 93.01/93.41 Deleted: 104
% 93.01/93.41 Deletedinuse: 0
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 Intermediate Status:
% 93.01/93.41 Generated: 118728
% 93.01/93.41 Kept: 22290
% 93.01/93.41 Inuse: 661
% 93.01/93.41 Deleted: 104
% 93.01/93.41 Deletedinuse: 0
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 Intermediate Status:
% 93.01/93.41 Generated: 132214
% 93.01/93.41 Kept: 24303
% 93.01/93.41 Inuse: 730
% 93.01/93.41 Deleted: 104
% 93.01/93.41 Deletedinuse: 0
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 Intermediate Status:
% 93.01/93.41 Generated: 141411
% 93.01/93.41 Kept: 26315
% 93.01/93.41 Inuse: 769
% 93.01/93.41 Deleted: 104
% 93.01/93.41 Deletedinuse: 0
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 Intermediate Status:
% 93.01/93.41 Generated: 155829
% 93.01/93.41 Kept: 28322
% 93.01/93.41 Inuse: 836
% 93.01/93.41 Deleted: 104
% 93.01/93.41 Deletedinuse: 0
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 Intermediate Status:
% 93.01/93.41 Generated: 173295
% 93.01/93.41 Kept: 30681
% 93.01/93.41 Inuse: 898
% 93.01/93.41 Deleted: 104
% 93.01/93.41 Deletedinuse: 0
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 Intermediate Status:
% 93.01/93.41 Generated: 181986
% 93.01/93.41 Kept: 33218
% 93.01/93.41 Inuse: 906
% 93.01/93.41 Deleted: 108
% 93.01/93.41 Deletedinuse: 2
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 Intermediate Status:
% 93.01/93.41 Generated: 195944
% 93.01/93.41 Kept: 35245
% 93.01/93.41 Inuse: 946
% 93.01/93.41 Deleted: 108
% 93.01/93.41 Deletedinuse: 2
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 Intermediate Status:
% 93.01/93.41 Generated: 268819
% 93.01/93.41 Kept: 37247
% 93.01/93.41 Inuse: 989
% 93.01/93.41 Deleted: 112
% 93.01/93.41 Deletedinuse: 2
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 Intermediate Status:
% 93.01/93.41 Generated: 366465
% 93.01/93.41 Kept: 39287
% 93.01/93.41 Inuse: 1045
% 93.01/93.41 Deleted: 112
% 93.01/93.41 Deletedinuse: 2
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41 Resimplifying clauses:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 Intermediate Status:
% 93.01/93.41 Generated: 444967
% 93.01/93.41 Kept: 41310
% 93.01/93.41 Inuse: 1086
% 93.01/93.41 Deleted: 301
% 93.01/93.41 Deletedinuse: 2
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 Intermediate Status:
% 93.01/93.41 Generated: 557383
% 93.01/93.41 Kept: 43312
% 93.01/93.41 Inuse: 1141
% 93.01/93.41 Deleted: 301
% 93.01/93.41 Deletedinuse: 2
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 Intermediate Status:
% 93.01/93.41 Generated: 602940
% 93.01/93.41 Kept: 45336
% 93.01/93.41 Inuse: 1186
% 93.01/93.41 Deleted: 301
% 93.01/93.41 Deletedinuse: 2
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 Intermediate Status:
% 93.01/93.41 Generated: 653578
% 93.01/93.41 Kept: 47359
% 93.01/93.41 Inuse: 1243
% 93.01/93.41 Deleted: 301
% 93.01/93.41 Deletedinuse: 2
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 Intermediate Status:
% 93.01/93.41 Generated: 698613
% 93.01/93.41 Kept: 49435
% 93.01/93.41 Inuse: 1291
% 93.01/93.41 Deleted: 301
% 93.01/93.41 Deletedinuse: 2
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 Intermediate Status:
% 93.01/93.41 Generated: 745562
% 93.01/93.41 Kept: 51490
% 93.01/93.41 Inuse: 1339
% 93.01/93.41 Deleted: 301
% 93.01/93.41 Deletedinuse: 2
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 Intermediate Status:
% 93.01/93.41 Generated: 807725
% 93.01/93.41 Kept: 53510
% 93.01/93.41 Inuse: 1388
% 93.01/93.41 Deleted: 301
% 93.01/93.41 Deletedinuse: 2
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 Intermediate Status:
% 93.01/93.41 Generated: 840817
% 93.01/93.41 Kept: 55545
% 93.01/93.41 Inuse: 1434
% 93.01/93.41 Deleted: 301
% 93.01/93.41 Deletedinuse: 2
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 Intermediate Status:
% 93.01/93.41 Generated: 874379
% 93.01/93.41 Kept: 57568
% 93.01/93.41 Inuse: 1480
% 93.01/93.41 Deleted: 301
% 93.01/93.41 Deletedinuse: 2
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 Intermediate Status:
% 93.01/93.41 Generated: 900722
% 93.01/93.41 Kept: 59605
% 93.01/93.41 Inuse: 1518
% 93.01/93.41 Deleted: 301
% 93.01/93.41 Deletedinuse: 2
% 93.01/93.41
% 93.01/93.41 Resimplifying clauses:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 Intermediate Status:
% 93.01/93.41 Generated: 924652
% 93.01/93.41 Kept: 61627
% 93.01/93.41 Inuse: 1554
% 93.01/93.41 Deleted: 463
% 93.01/93.41 Deletedinuse: 2
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 Intermediate Status:
% 93.01/93.41 Generated: 974010
% 93.01/93.41 Kept: 63640
% 93.01/93.41 Inuse: 1605
% 93.01/93.41 Deleted: 463
% 93.01/93.41 Deletedinuse: 2
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41 Resimplifying inuse:
% 93.01/93.41 Done
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 Intermediate Status:
% 93.01/93.41 Generated: 1003438
% 93.01/93.41 Kept: 65644
% 93.01/93.41 Inuse: 1642
% 93.01/93.41 Deleted: 463
% 93.01/93.41 Deletedinuse: 2
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 Bliksems!, er is een bewijs:
% 93.01/93.41 % SZS status Unsatisfiable
% 93.01/93.41 % SZS output start Refutation
% 93.01/93.41
% 93.01/93.41 clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 93.01/93.41 .
% 93.01/93.41 clause( 28, [ =( extension( Y, X, Z, Z ), X ) ] )
% 93.01/93.41 .
% 93.01/93.41 clause( 29, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ] )
% 93.01/93.41 .
% 93.01/93.41 clause( 32, [ ~( =( X, Y ) ), =( reflection( X, Y ), Y ) ] )
% 93.01/93.41 .
% 93.01/93.41 clause( 33, [ =( reflection( X, X ), X ) ] )
% 93.01/93.41 .
% 93.01/93.41 clause( 42, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 93.01/93.41 .
% 93.01/93.41 clause( 45, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 93.01/93.41 .
% 93.01/93.41 clause( 50, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X
% 93.01/93.41 , Z, T ), =( Y, Z ) ] )
% 93.01/93.41 .
% 93.01/93.41 clause( 51, [ between( u, v, w ) ] )
% 93.01/93.41 .
% 93.01/93.41 clause( 52, [ between( v, w, x ) ] )
% 93.01/93.41 .
% 93.01/93.41 clause( 53, [ ~( =( w, v ) ) ] )
% 93.01/93.41 .
% 93.01/93.41 clause( 54, [ ~( between( u, v, x ) ) ] )
% 93.01/93.41 .
% 93.01/93.41 clause( 170, [ ~( =( X, v ) ), ~( between( X, w, X ) ) ] )
% 93.01/93.41 .
% 93.01/93.41 clause( 317, [ between( w, v, u ) ] )
% 93.01/93.41 .
% 93.01/93.41 clause( 318, [ between( x, w, v ) ] )
% 93.01/93.41 .
% 93.01/93.41 clause( 319, [ ~( between( x, v, u ) ) ] )
% 93.01/93.41 .
% 93.01/93.41 clause( 1881, [ ~( =( T, Y ) ), between( X, Y, T ) ] )
% 93.01/93.41 .
% 93.01/93.41 clause( 1913, [ ~( =( X, w ) ), ~( =( X, v ) ) ] )
% 93.01/93.41 .
% 93.01/93.41 clause( 1939, [ ~( =( X, Y ) ), =( Y, X ) ] )
% 93.01/93.41 .
% 93.01/93.41 clause( 2035, [ between( x, w, X ), ~( =( X, v ) ) ] )
% 93.01/93.41 .
% 93.01/93.41 clause( 2036, [ between( X, v, u ), ~( =( X, w ) ) ] )
% 93.01/93.41 .
% 93.01/93.41 clause( 12003, [ ~( =( X, w ) ), ~( between( Y, X, v ) ), between( Y, v, u
% 93.01/93.41 ) ] )
% 93.01/93.41 .
% 93.01/93.41 clause( 12048, [ ~( between( X, w, v ) ), between( X, v, u ) ] )
% 93.01/93.41 .
% 93.01/93.41 clause( 65938, [] )
% 93.01/93.41 .
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 % SZS output end Refutation
% 93.01/93.41 found a proof!
% 93.01/93.41
% 93.01/93.41 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 93.01/93.41
% 93.01/93.41 initialclauses(
% 93.01/93.41 [ clause( 65940, [ equidistant( X, Y, Y, X ) ] )
% 93.01/93.41 , clause( 65941, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 93.01/93.41 , W ) ), equidistant( Z, T, U, W ) ] )
% 93.01/93.41 , clause( 65942, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 93.01/93.41 , clause( 65943, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 93.01/93.41 , clause( 65944, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 93.01/93.41 , clause( 65945, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 93.01/93.41 , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 93.01/93.41 ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 93.01/93.41 equidistant( U, V0, W, V1 ) ] )
% 93.01/93.41 , clause( 65946, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 93.01/93.41 , clause( 65947, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 93.01/93.41 between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 93.01/93.41 , clause( 65948, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 93.01/93.41 between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 93.01/93.41 , clause( 65949, [ ~( between( 'lower_dimension_point_1',
% 93.01/93.41 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 93.01/93.41 , clause( 65950, [ ~( between( 'lower_dimension_point_2',
% 93.01/93.41 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 93.01/93.41 , clause( 65951, [ ~( between( 'lower_dimension_point_3',
% 93.01/93.41 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 93.01/93.41 , clause( 65952, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 93.01/93.41 , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T,
% 93.01/93.41 U, X ), between( U, X, T ), =( Y, Z ) ] )
% 93.01/93.41 , clause( 65953, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 93.01/93.41 Y ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 93.01/93.41 , clause( 65954, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 93.01/93.41 Y ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 93.01/93.41 , clause( 65955, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 93.01/93.41 Y ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ]
% 93.01/93.41 )
% 93.01/93.41 , clause( 65956, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 93.01/93.41 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 93.01/93.41 continuous( X, Y, Z, W, T, U ), U ) ] )
% 93.01/93.41 , clause( 65957, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 93.01/93.41 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 93.01/93.41 , W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 93.01/93.41 , clause( 65958, [ =( reflection( X, Y ), extension( X, Y, X, Y ) ) ] )
% 93.01/93.41 , clause( 65959, [ equidistant( X, Y, X, Y ) ] )
% 93.01/93.41 , clause( 65960, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, X, Y
% 93.01/93.41 ) ] )
% 93.01/93.41 , clause( 65961, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, Z, T
% 93.01/93.41 ) ] )
% 93.01/93.41 , clause( 65962, [ ~( equidistant( X, Y, Z, T ) ), equidistant( X, Y, T, Z
% 93.01/93.41 ) ] )
% 93.01/93.41 , clause( 65963, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Y, X, T, Z
% 93.01/93.41 ) ] )
% 93.01/93.41 , clause( 65964, [ ~( equidistant( X, Y, Z, T ) ), equidistant( Z, T, Y, X
% 93.01/93.41 ) ] )
% 93.01/93.41 , clause( 65965, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, X, Y
% 93.01/93.41 ) ] )
% 93.01/93.41 , clause( 65966, [ ~( equidistant( X, Y, Z, T ) ), equidistant( T, Z, Y, X
% 93.01/93.41 ) ] )
% 93.01/93.41 , clause( 65967, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Z, T, U
% 93.01/93.41 , W ) ), equidistant( X, Y, U, W ) ] )
% 93.01/93.41 , clause( 65968, [ =( X, extension( Y, X, Z, Z ) ) ] )
% 93.01/93.41 , clause( 65969, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X )
% 93.01/93.41 ] )
% 93.01/93.41 , clause( 65970, [ between( X, Y, reflection( X, Y ) ) ] )
% 93.01/93.41 , clause( 65971, [ equidistant( X, reflection( Y, X ), Y, X ) ] )
% 93.01/93.41 , clause( 65972, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 93.01/93.41 , clause( 65973, [ =( X, reflection( X, X ) ) ] )
% 93.01/93.41 , clause( 65974, [ ~( =( X, reflection( Y, X ) ) ), =( Y, X ) ] )
% 93.01/93.41 , clause( 65975, [ equidistant( X, X, Y, Y ) ] )
% 93.01/93.41 , clause( 65976, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 93.01/93.41 , W ) ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), equidistant( X
% 93.01/93.41 , U, Z, W ) ] )
% 93.01/93.41 , clause( 65977, [ ~( between( X, Y, Z ) ), ~( between( X, Y, T ) ), ~(
% 93.01/93.41 equidistant( Y, Z, Y, T ) ), =( X, Y ), =( Z, T ) ] )
% 93.01/93.41 , clause( 65978, [ ~( between( X, Y, Z ) ), =( X, Y ), =( Z, extension( X,
% 93.01/93.41 Y, Y, Z ) ) ] )
% 93.01/93.41 , clause( 65979, [ ~( equidistant( X, Y, Z, T ) ), =( extension( U, W, X, Y
% 93.01/93.41 ), extension( U, W, Z, T ) ), =( U, W ) ] )
% 93.01/93.41 , clause( 65980, [ =( extension( X, Y, X, Y ), extension( X, Y, Y, X ) ),
% 93.01/93.41 =( X, Y ) ] )
% 93.01/93.41 , clause( 65981, [ equidistant( X, Y, X, reflection( reflection( Y, X ), X
% 93.01/93.41 ) ) ] )
% 93.01/93.41 , clause( 65982, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 93.01/93.41 , clause( 65983, [ between( X, Y, Y ) ] )
% 93.01/93.41 , clause( 65984, [ ~( between( X, Y, Z ) ), ~( =( X, Z ) ), between( T, Y,
% 93.01/93.41 Z ) ] )
% 93.01/93.41 , clause( 65985, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 93.01/93.41 , clause( 65986, [ between( X, X, Y ) ] )
% 93.01/93.41 , clause( 65987, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X,
% 93.01/93.41 Y ) ] )
% 93.01/93.41 , clause( 65988, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( Y,
% 93.01/93.41 Z ) ] )
% 93.01/93.41 , clause( 65989, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X,
% 93.01/93.41 Y ), =( Y, Z ) ] )
% 93.01/93.41 , clause( 65990, [ ~( between( X, Y, Z ) ), ~( between( X, Z, Y ) ), =( X,
% 93.01/93.41 Y ), =( Y, Z ) ] )
% 93.01/93.41 , clause( 65991, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ),
% 93.01/93.41 between( X, Y, Z ) ] )
% 93.01/93.41 , clause( 65992, [ ~( between( X, Y, Z ) ), ~( between( X, Z, T ) ),
% 93.01/93.41 between( Y, Z, T ) ] )
% 93.01/93.41 , clause( 65993, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ),
% 93.01/93.41 between( X, Z, T ), =( Y, Z ) ] )
% 93.01/93.41 , clause( 65994, [ between( u, v, w ) ] )
% 93.01/93.41 , clause( 65995, [ between( v, w, x ) ] )
% 93.01/93.41 , clause( 65996, [ ~( =( v, w ) ) ] )
% 93.01/93.41 , clause( 65997, [ ~( between( u, v, x ) ) ] )
% 93.01/93.41 ] ).
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 subsumption(
% 93.01/93.41 clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 93.01/93.41 , clause( 65946, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 93.01/93.41 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 93.01/93.41 ), ==>( 1, 1 )] ) ).
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 eqswap(
% 93.01/93.41 clause( 66090, [ =( extension( Y, X, Z, Z ), X ) ] )
% 93.01/93.41 , clause( 65968, [ =( X, extension( Y, X, Z, Z ) ) ] )
% 93.01/93.41 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 subsumption(
% 93.01/93.41 clause( 28, [ =( extension( Y, X, Z, Z ), X ) ] )
% 93.01/93.41 , clause( 66090, [ =( extension( Y, X, Z, Z ), X ) ] )
% 93.01/93.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 93.01/93.41 permutation( 0, [ ==>( 0, 0 )] ) ).
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 subsumption(
% 93.01/93.41 clause( 29, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X ) ] )
% 93.01/93.41 , clause( 65969, [ ~( =( X, extension( Y, Z, T, U ) ) ), between( Y, Z, X )
% 93.01/93.41 ] )
% 93.01/93.41 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 93.01/93.41 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 eqswap(
% 93.01/93.41 clause( 66216, [ =( reflection( Y, X ), X ), ~( =( Y, X ) ) ] )
% 93.01/93.41 , clause( 65972, [ ~( =( X, Y ) ), =( Y, reflection( X, Y ) ) ] )
% 93.01/93.41 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 93.01/93.41
% 93.01/93.41
% 93.01/93.41 subsumption(
% 93.01/93.41 clause( 32, [ ~( =( X, Y ) ), =( reflection( X, Y ), Y ) ] )
% 174.22/174.59 , clause( 66216, [ =( reflection( Y, X ), X ), ~( =( Y, X ) ) ] )
% 174.22/174.59 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 174.22/174.59 ), ==>( 1, 0 )] ) ).
% 174.22/174.59
% 174.22/174.59
% 174.22/174.59 eqswap(
% 174.22/174.59 clause( 66283, [ =( reflection( X, X ), X ) ] )
% 174.22/174.59 , clause( 65973, [ =( X, reflection( X, X ) ) ] )
% 174.22/174.59 , 0, substitution( 0, [ :=( X, X )] )).
% 174.22/174.59
% 174.22/174.59
% 174.22/174.59 subsumption(
% 174.22/174.59 clause( 33, [ =( reflection( X, X ), X ) ] )
% 174.22/174.59 , clause( 66283, [ =( reflection( X, X ), X ) ] )
% 174.22/174.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 174.22/174.59
% 174.22/174.59
% 174.22/174.59 eqswap(
% 174.22/174.59 clause( 66375, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 174.22/174.59 , clause( 65982, [ =( X, reflection( reflection( X, Y ), Y ) ) ] )
% 174.22/174.59 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 174.22/174.59
% 174.22/174.59
% 174.22/174.59 subsumption(
% 174.22/174.59 clause( 42, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 174.22/174.59 , clause( 66375, [ =( reflection( reflection( X, Y ), Y ), X ) ] )
% 174.22/174.59 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 174.22/174.59 )] ) ).
% 174.22/174.59
% 174.22/174.59
% 174.22/174.59 subsumption(
% 174.22/174.59 clause( 45, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 174.22/174.59 , clause( 65985, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 174.22/174.59 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 174.22/174.59 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 174.22/174.59
% 174.22/174.59
% 174.22/174.59 subsumption(
% 174.22/174.59 clause( 50, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ), between( X
% 174.22/174.59 , Z, T ), =( Y, Z ) ] )
% 174.22/174.59 , clause( 65993, [ ~( between( X, Y, Z ) ), ~( between( Y, Z, T ) ),
% 174.22/174.59 between( X, Z, T ), =( Y, Z ) ] )
% 174.22/174.59 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 174.22/174.59 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 174.22/174.59 ).
% 174.22/174.59
% 174.22/174.59
% 174.22/174.59 subsumption(
% 174.22/174.59 clause( 51, [ between( u, v, w ) ] )
% 174.22/174.59 , clause( 65994, [ between( u, v, w ) ] )
% 174.22/174.59 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 174.22/174.59
% 174.22/174.59
% 174.22/174.59 subsumption(
% 174.22/174.59 clause( 52, [ between( v, w, x ) ] )
% 174.22/174.59 , clause( 65995, [ between( v, w, x ) ] )
% 174.22/174.59 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 174.22/174.59
% 174.22/174.59
% 174.22/174.59 eqswap(
% 174.22/174.59 clause( 66929, [ ~( =( w, v ) ) ] )
% 174.22/174.59 , clause( 65996, [ ~( =( v, w ) ) ] )
% 174.22/174.59 , 0, substitution( 0, [] )).
% 174.22/174.59
% 174.22/174.59
% 174.22/174.59 subsumption(
% 174.22/174.59 clause( 53, [ ~( =( w, v ) ) ] )
% 174.22/174.59 , clause( 66929, [ ~( =( w, v ) ) ] )
% 174.22/174.59 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 174.22/174.59
% 174.22/174.59
% 174.22/174.59 subsumption(
% 174.22/174.59 clause( 54, [ ~( between( u, v, x ) ) ] )
% 174.22/174.59 , clause( 65997, [ ~( between( u, v, x ) ) ] )
% 174.22/174.59 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 174.22/174.59
% 174.22/174.59
% 174.22/174.59 eqswap(
% 174.22/174.59 clause( 67046, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 174.22/174.59 , clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 174.22/174.59 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 174.22/174.59
% 174.22/174.59
% 174.22/174.59 eqswap(
% 174.22/174.59 clause( 67047, [ ~( =( v, w ) ) ] )
% 174.22/174.59 , clause( 53, [ ~( =( w, v ) ) ] )
% 174.22/174.59 , 0, substitution( 0, [] )).
% 174.22/174.59
% 174.22/174.59
% 174.22/174.59 paramod(
% 174.22/174.59 clause( 67049, [ ~( =( v, X ) ), ~( between( X, w, X ) ) ] )
% 174.22/174.59 , clause( 67046, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 174.22/174.59 , 0, clause( 67047, [ ~( =( v, w ) ) ] )
% 174.22/174.59 , 0, 3, substitution( 0, [ :=( X, X ), :=( Y, w )] ), substitution( 1, [] )
% 174.22/174.59 ).
% 174.22/174.59
% 174.22/174.59
% 174.22/174.59 eqswap(
% 174.22/174.59 clause( 67091, [ ~( =( X, v ) ), ~( between( X, w, X ) ) ] )
% 174.22/174.59 , clause( 67049, [ ~( =( v, X ) ), ~( between( X, w, X ) ) ] )
% 174.22/174.59 , 0, substitution( 0, [ :=( X, X )] )).
% 174.22/174.59
% 174.22/174.59
% 174.22/174.59 subsumption(
% 174.22/174.59 clause( 170, [ ~( =( X, v ) ), ~( between( X, w, X ) ) ] )
% 174.22/174.59 , clause( 67091, [ ~( =( X, v ) ), ~( between( X, w, X ) ) ] )
% 174.22/174.59 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 174.22/174.59 1 )] ) ).
% 174.22/174.59
% 174.22/174.59
% 174.22/174.59 resolution(
% 174.22/174.59 clause( 78908, [ between( w, v, u ) ] )
% 174.22/174.59 , clause( 45, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 174.22/174.59 , 0, clause( 51, [ between( u, v, w ) ] )
% 174.22/174.59 , 0, substitution( 0, [ :=( X, u ), :=( Y, v ), :=( Z, w )] ),
% 174.22/174.59 substitution( 1, [] )).
% 174.22/174.59
% 174.22/174.59
% 174.22/174.59 subsumption(
% 174.22/174.59 clause( 317, [ between( w, v, u ) ] )
% 174.22/174.59 , clause( 78908, [ between( w, v, u ) ] )
% 174.22/174.59 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 174.22/174.59
% 174.22/174.59
% 174.22/174.59 resolution(
% 174.22/174.59 clause( 78909, [ between( x, w, v ) ] )
% 174.22/174.59 , clause( 45, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 174.22/174.59 , 0, clause( 52, [ between( v, w, x ) ] )
% 174.22/174.59 , 0, substitution( 0, [ :=( X, v ), :=( Y, w ), :=( Z, x )] ),
% 174.22/174.59 substitution( 1, [] )).
% 174.22/174.59
% 174.22/174.59
% 174.22/174.59 subsumption(
% 174.22/174.59 clause( 318, [ between( x, w, v ) ] )
% 174.22/174.59 , clause( 78909, [ between( x, w, v ) ] )
% 174.22/174.59 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 174.22/174.59
% 174.22/174.59
% 174.22/174.59 resolution(
% 174.22/174.59 clause( 7891Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------