%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO041-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 02:51:06 EDT 2022
% Result : Unsatisfiable 69.78s 70.17s
% Output : Refutation 69.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GEO041-2 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.11 % Command : bliksem %s
% 0.11/0.32 % Computer : n026.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % DateTime : Sat Jun 18 12:40:24 EDT 2022
% 0.17/0.32 % CPUTime :
% 69.78/70.17 *** allocated 10000 integers for termspace/termends
% 69.78/70.17 *** allocated 10000 integers for clauses
% 69.78/70.17 *** allocated 10000 integers for justifications
% 69.78/70.17 Bliksem 1.12
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 Automatic Strategy Selection
% 69.78/70.17
% 69.78/70.17 Clauses:
% 69.78/70.17 [
% 69.78/70.17 [ equidistant( X, Y, Y, X ) ],
% 69.78/70.17 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U, W ) ),
% 69.78/70.17 equidistant( Z, T, U, W ) ],
% 69.78/70.17 [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ],
% 69.78/70.17 [ between( X, Y, extension( X, Y, Z, T ) ) ],
% 69.78/70.17 [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ],
% 69.78/70.17 [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T, W ) ), ~(
% 69.78/70.17 equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 ) ), ~(
% 69.78/70.17 between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ), equidistant( U
% 69.78/70.17 , V0, W, V1 ) ],
% 69.78/70.17 [ ~( between( X, Y, X ) ), =( X, Y ) ],
% 69.78/70.17 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 69.78/70.17 'inner_pasch'( X, Y, Z, U, T ), T ) ],
% 69.78/70.17 [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 69.78/70.17 'inner_pasch'( X, Y, Z, U, T ), X ) ],
% 69.78/70.17 [ ~( between( 'lower_dimension_point_1', 'lower_dimension_point_2',
% 69.78/70.17 'lower_dimension_point_3' ) ) ],
% 69.78/70.17 [ ~( between( 'lower_dimension_point_2', 'lower_dimension_point_3',
% 69.78/70.17 'lower_dimension_point_1' ) ) ],
% 69.78/70.17 [ ~( between( 'lower_dimension_point_3', 'lower_dimension_point_1',
% 69.78/70.17 'lower_dimension_point_2' ) ) ],
% 69.78/70.17 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T, Z ) ), ~(
% 69.78/70.17 equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T, U, X ),
% 69.78/70.17 between( U, X, T ), =( Y, Z ) ],
% 69.78/70.17 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 69.78/70.17 X, T, euclid1( X, T, Y, U, Z ) ) ],
% 69.78/70.17 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 69.78/70.17 X, U, euclid2( X, T, Y, U, Z ) ) ],
% 69.78/70.17 [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X, Y ), between(
% 69.78/70.17 euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ],
% 69.78/70.17 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 69.78/70.17 between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z, continuous( X
% 69.78/70.17 , Y, Z, W, T, U ), U ) ],
% 69.78/70.17 [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X, U ) ), ~(
% 69.78/70.17 between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X, W, X,
% 69.78/70.17 continuous( X, Y, Z, W, T, U ) ) ],
% 69.78/70.17 [ between( u, v, w ) ],
% 69.78/70.17 [ between( u, w, v ) ],
% 69.78/70.17 [ ~( =( v, w ) ) ]
% 69.78/70.17 ] .
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 percentage equality = 0.135593, percentage horn = 0.761905
% 69.78/70.17 This is a problem with some equality
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 Options Used:
% 69.78/70.17
% 69.78/70.17 useres = 1
% 69.78/70.17 useparamod = 1
% 69.78/70.17 useeqrefl = 1
% 69.78/70.17 useeqfact = 1
% 69.78/70.17 usefactor = 1
% 69.78/70.17 usesimpsplitting = 0
% 69.78/70.17 usesimpdemod = 5
% 69.78/70.17 usesimpres = 3
% 69.78/70.17
% 69.78/70.17 resimpinuse = 1000
% 69.78/70.17 resimpclauses = 20000
% 69.78/70.17 substype = eqrewr
% 69.78/70.17 backwardsubs = 1
% 69.78/70.17 selectoldest = 5
% 69.78/70.17
% 69.78/70.17 litorderings [0] = split
% 69.78/70.17 litorderings [1] = extend the termordering, first sorting on arguments
% 69.78/70.17
% 69.78/70.17 termordering = kbo
% 69.78/70.17
% 69.78/70.17 litapriori = 0
% 69.78/70.17 termapriori = 1
% 69.78/70.17 litaposteriori = 0
% 69.78/70.17 termaposteriori = 0
% 69.78/70.17 demodaposteriori = 0
% 69.78/70.17 ordereqreflfact = 0
% 69.78/70.17
% 69.78/70.17 litselect = negord
% 69.78/70.17
% 69.78/70.17 maxweight = 15
% 69.78/70.17 maxdepth = 30000
% 69.78/70.17 maxlength = 115
% 69.78/70.17 maxnrvars = 195
% 69.78/70.17 excuselevel = 1
% 69.78/70.17 increasemaxweight = 1
% 69.78/70.17
% 69.78/70.17 maxselected = 10000000
% 69.78/70.17 maxnrclauses = 10000000
% 69.78/70.17
% 69.78/70.17 showgenerated = 0
% 69.78/70.17 showkept = 0
% 69.78/70.17 showselected = 0
% 69.78/70.17 showdeleted = 0
% 69.78/70.17 showresimp = 1
% 69.78/70.17 showstatus = 2000
% 69.78/70.17
% 69.78/70.17 prologoutput = 1
% 69.78/70.17 nrgoals = 5000000
% 69.78/70.17 totalproof = 1
% 69.78/70.17
% 69.78/70.17 Symbols occurring in the translation:
% 69.78/70.17
% 69.78/70.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 69.78/70.17 . [1, 2] (w:1, o:31, a:1, s:1, b:0),
% 69.78/70.17 ! [4, 1] (w:0, o:26, a:1, s:1, b:0),
% 69.78/70.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 69.78/70.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 69.78/70.17 equidistant [41, 4] (w:1, o:57, a:1, s:1, b:0),
% 69.78/70.17 extension [46, 4] (w:1, o:58, a:1, s:1, b:0),
% 69.78/70.17 between [47, 3] (w:1, o:56, a:1, s:1, b:0),
% 69.78/70.17 'inner_pasch' [53, 5] (w:1, o:59, a:1, s:1, b:0),
% 69.78/70.17 'lower_dimension_point_1' [54, 0] (w:1, o:20, a:1, s:1, b:0),
% 69.78/70.17 'lower_dimension_point_2' [55, 0] (w:1, o:21, a:1, s:1, b:0),
% 69.78/70.17 'lower_dimension_point_3' [56, 0] (w:1, o:22, a:1, s:1, b:0),
% 69.78/70.17 euclid1 [57, 5] (w:1, o:60, a:1, s:1, b:0),
% 69.78/70.17 euclid2 [58, 5] (w:1, o:61, a:1, s:1, b:0),
% 69.78/70.17 continuous [59, 6] (w:1, o:62, a:1, s:1, b:0),
% 69.78/70.17 u [60, 0] (w:1, o:23, a:1, s:1, b:0),
% 69.78/70.17 v [61, 0] (w:1, o:24, a:1, s:1, b:0),
% 69.78/70.17 w [62, 0] (w:1, o:25, a:1, s:1, b:0).
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 Starting Search:
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 Intermediate Status:
% 69.78/70.17 Generated: 13164
% 69.78/70.17 Kept: 2003
% 69.78/70.17 Inuse: 146
% 69.78/70.17 Deleted: 18
% 69.78/70.17 Deletedinuse: 0
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 Intermediate Status:
% 69.78/70.17 Generated: 33747
% 69.78/70.17 Kept: 4215
% 69.78/70.17 Inuse: 339
% 69.78/70.17 Deleted: 23
% 69.78/70.17 Deletedinuse: 1
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 Intermediate Status:
% 69.78/70.17 Generated: 54006
% 69.78/70.17 Kept: 6300
% 69.78/70.17 Inuse: 483
% 69.78/70.17 Deleted: 54
% 69.78/70.17 Deletedinuse: 1
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 Intermediate Status:
% 69.78/70.17 Generated: 224250
% 69.78/70.17 Kept: 8301
% 69.78/70.17 Inuse: 689
% 69.78/70.17 Deleted: 54
% 69.78/70.17 Deletedinuse: 1
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 Intermediate Status:
% 69.78/70.17 Generated: 302357
% 69.78/70.17 Kept: 10310
% 69.78/70.17 Inuse: 816
% 69.78/70.17 Deleted: 54
% 69.78/70.17 Deletedinuse: 1
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 Intermediate Status:
% 69.78/70.17 Generated: 350150
% 69.78/70.17 Kept: 12322
% 69.78/70.17 Inuse: 945
% 69.78/70.17 Deleted: 54
% 69.78/70.17 Deletedinuse: 1
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 Intermediate Status:
% 69.78/70.17 Generated: 379829
% 69.78/70.17 Kept: 14404
% 69.78/70.17 Inuse: 988
% 69.78/70.17 Deleted: 78
% 69.78/70.17 Deletedinuse: 9
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 Intermediate Status:
% 69.78/70.17 Generated: 459575
% 69.78/70.17 Kept: 16566
% 69.78/70.17 Inuse: 1095
% 69.78/70.17 Deleted: 196
% 69.78/70.17 Deletedinuse: 10
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 Intermediate Status:
% 69.78/70.17 Generated: 508535
% 69.78/70.17 Kept: 18583
% 69.78/70.17 Inuse: 1164
% 69.78/70.17 Deleted: 198
% 69.78/70.17 Deletedinuse: 10
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17 Resimplifying clauses:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 Intermediate Status:
% 69.78/70.17 Generated: 712617
% 69.78/70.17 Kept: 20585
% 69.78/70.17 Inuse: 1302
% 69.78/70.17 Deleted: 2332
% 69.78/70.17 Deletedinuse: 10
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 Intermediate Status:
% 69.78/70.17 Generated: 840954
% 69.78/70.17 Kept: 22606
% 69.78/70.17 Inuse: 1385
% 69.78/70.17 Deleted: 2344
% 69.78/70.17 Deletedinuse: 10
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 Intermediate Status:
% 69.78/70.17 Generated: 1025023
% 69.78/70.17 Kept: 24730
% 69.78/70.17 Inuse: 1499
% 69.78/70.17 Deleted: 2453
% 69.78/70.17 Deletedinuse: 10
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 Intermediate Status:
% 69.78/70.17 Generated: 1302056
% 69.78/70.17 Kept: 26731
% 69.78/70.17 Inuse: 1569
% 69.78/70.17 Deleted: 2477
% 69.78/70.17 Deletedinuse: 10
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 Intermediate Status:
% 69.78/70.17 Generated: 1635768
% 69.78/70.17 Kept: 28739
% 69.78/70.17 Inuse: 1680
% 69.78/70.17 Deleted: 2556
% 69.78/70.17 Deletedinuse: 12
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 Intermediate Status:
% 69.78/70.17 Generated: 1762615
% 69.78/70.17 Kept: 30743
% 69.78/70.17 Inuse: 1805
% 69.78/70.17 Deleted: 2556
% 69.78/70.17 Deletedinuse: 12
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 Intermediate Status:
% 69.78/70.17 Generated: 1853932
% 69.78/70.17 Kept: 32751
% 69.78/70.17 Inuse: 1914
% 69.78/70.17 Deleted: 2556
% 69.78/70.17 Deletedinuse: 12
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 Intermediate Status:
% 69.78/70.17 Generated: 2236935
% 69.78/70.17 Kept: 34757
% 69.78/70.17 Inuse: 2034
% 69.78/70.17 Deleted: 2556
% 69.78/70.17 Deletedinuse: 12
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 Intermediate Status:
% 69.78/70.17 Generated: 2753294
% 69.78/70.17 Kept: 36761
% 69.78/70.17 Inuse: 2172
% 69.78/70.17 Deleted: 2558
% 69.78/70.17 Deletedinuse: 14
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 Intermediate Status:
% 69.78/70.17 Generated: 3247816
% 69.78/70.17 Kept: 38777
% 69.78/70.17 Inuse: 2331
% 69.78/70.17 Deleted: 2662
% 69.78/70.17 Deletedinuse: 14
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17 Resimplifying clauses:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 Intermediate Status:
% 69.78/70.17 Generated: 4579802
% 69.78/70.17 Kept: 40793
% 69.78/70.17 Inuse: 2485
% 69.78/70.17 Deleted: 4108
% 69.78/70.17 Deletedinuse: 14
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 Intermediate Status:
% 69.78/70.17 Generated: 5113546
% 69.78/70.17 Kept: 42805
% 69.78/70.17 Inuse: 2598
% 69.78/70.17 Deleted: 4108
% 69.78/70.17 Deletedinuse: 14
% 69.78/70.17
% 69.78/70.17 Resimplifying inuse:
% 69.78/70.17 Done
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 Bliksems!, er is een bewijs:
% 69.78/70.17 % SZS status Unsatisfiable
% 69.78/70.17 % SZS output start Refutation
% 69.78/70.17
% 69.78/70.17 clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 69.78/70.17 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 69.78/70.17 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 18, [ between( u, v, w ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 19, [ between( u, w, v ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 20, [ ~( =( w, v ) ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 173, [ =( extension( Y, X, Z, Z ), X ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 181, [ between( X, Y, Y ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 280, [ ~( between( X, Y, Z ) ), between( Z, 'inner_pasch'( T, Z, Z
% 69.78/70.17 , Y, X ), X ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 281, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( X, Y, Z
% 69.78/70.17 , Z, T ), T ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 284, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), =(
% 69.78/70.17 'inner_pasch'( X, Y, Z, T, Y ), Y ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 286, [ ~( between( X, Y, w ) ), between( Y, 'inner_pasch'( X, Y, w
% 69.78/70.17 , v, u ), u ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 288, [ ~( between( X, Y, v ) ), between( Y, 'inner_pasch'( X, Y, v
% 69.78/70.17 , w, u ), u ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 294, [ ~( between( X, Y, Z ) ), ~( between( U, T, Z ) ), between( Y
% 69.78/70.17 , W, U ), ~( between( W, 'inner_pasch'( X, Y, Z, T, U ), W ) ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 352, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( T, Z, Z
% 69.78/70.17 , Y, X ), T ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 356, [ ~( between( X, Y, Z ) ), ~( between( T, X, Z ) ), =(
% 69.78/70.17 'inner_pasch'( X, Y, Z, X, T ), X ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 357, [ ~( between( X, Y, w ) ), between( Y, 'inner_pasch'( u, v, w
% 69.78/70.17 , Y, X ), u ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 12776, [ between( X, 'inner_pasch'( Y, X, X, X, Z ), Z ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 13034, [ between( v, 'inner_pasch'( u, v, w, w, X ), X ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 13035, [ between( w, 'inner_pasch'( u, w, v, v, X ), X ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 13329, [ =( 'inner_pasch'( Y, X, X, X, X ), X ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 13335, [ ~( between( Y, Y, Y ) ), between( Y, Y, X ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 13336, [ between( Y, Y, X ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 15720, [ =( 'inner_pasch'( u, w, v, v, w ), w ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 15732, [ ~( between( w, v, v ) ), between( v, w, u ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 15745, [ between( v, w, u ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 16379, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 17262, [ ~( between( w, X, v ) ), between( X, w, u ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 17264, [ ~( between( v, X, w ) ), between( X, v, u ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 17266, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y
% 69.78/70.17 ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 17271, [ between( X, w, u ), ~( between( v, X, w ) ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 17408, [ between( X, 'inner_pasch'( u, v, w, X, X ), u ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 17795, [ between( 'inner_pasch'( u, v, w, w, w ), w, u ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 18162, [ between( 'inner_pasch'( u, v, w, w, w ), v, u ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 43767, [ =( 'inner_pasch'( u, v, w, w, w ), w ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 43772, [ =( w, v ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 43856, [ ~( =( X, v ) ), ~( between( v, X, Y ) ), ~( between( X, v
% 69.78/70.17 , Y ) ) ] )
% 69.78/70.17 .
% 69.78/70.17 clause( 43857, [] )
% 69.78/70.17 .
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 % SZS output end Refutation
% 69.78/70.17 found a proof!
% 69.78/70.17
% 69.78/70.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 69.78/70.17
% 69.78/70.17 initialclauses(
% 69.78/70.17 [ clause( 43859, [ equidistant( X, Y, Y, X ) ] )
% 69.78/70.17 , clause( 43860, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( X, Y, U
% 69.78/70.17 , W ) ), equidistant( Z, T, U, W ) ] )
% 69.78/70.17 , clause( 43861, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 69.78/70.17 , clause( 43862, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 69.78/70.17 , clause( 43863, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 69.78/70.17 , clause( 43864, [ ~( equidistant( X, Y, Z, T ) ), ~( equidistant( Y, U, T
% 69.78/70.17 , W ) ), ~( equidistant( X, V0, Z, V1 ) ), ~( equidistant( Y, V0, T, V1 )
% 69.78/70.17 ), ~( between( X, Y, U ) ), ~( between( Z, T, W ) ), =( X, Y ),
% 69.78/70.17 equidistant( U, V0, W, V1 ) ] )
% 69.78/70.17 , clause( 43865, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 69.78/70.17 , clause( 43866, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 69.78/70.17 between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 69.78/70.17 , clause( 43867, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 69.78/70.17 between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 69.78/70.17 , clause( 43868, [ ~( between( 'lower_dimension_point_1',
% 69.78/70.17 'lower_dimension_point_2', 'lower_dimension_point_3' ) ) ] )
% 69.78/70.17 , clause( 43869, [ ~( between( 'lower_dimension_point_2',
% 69.78/70.17 'lower_dimension_point_3', 'lower_dimension_point_1' ) ) ] )
% 69.78/70.17 , clause( 43870, [ ~( between( 'lower_dimension_point_3',
% 69.78/70.17 'lower_dimension_point_1', 'lower_dimension_point_2' ) ) ] )
% 69.78/70.17 , clause( 43871, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( T, Y, T
% 69.78/70.17 , Z ) ), ~( equidistant( U, Y, U, Z ) ), between( X, T, U ), between( T,
% 69.78/70.17 U, X ), between( U, X, T ), =( Y, Z ) ] )
% 69.78/70.17 , clause( 43872, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 69.78/70.17 Y ), between( X, T, euclid1( X, T, Y, U, Z ) ) ] )
% 69.78/70.17 , clause( 43873, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 69.78/70.17 Y ), between( X, U, euclid2( X, T, Y, U, Z ) ) ] )
% 69.78/70.17 , clause( 43874, [ ~( between( X, Y, Z ) ), ~( between( T, Y, U ) ), =( X,
% 69.78/70.17 Y ), between( euclid1( X, T, Y, U, Z ), Z, euclid2( X, T, Y, U, Z ) ) ]
% 69.78/70.17 )
% 69.78/70.17 , clause( 43875, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 69.78/70.17 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), between( Z,
% 69.78/70.17 continuous( X, Y, Z, W, T, U ), U ) ] )
% 69.78/70.17 , clause( 43876, [ ~( equidistant( X, Y, X, Z ) ), ~( equidistant( X, T, X
% 69.78/70.17 , U ) ), ~( between( X, Y, T ) ), ~( between( Y, W, T ) ), equidistant( X
% 69.78/70.17 , W, X, continuous( X, Y, Z, W, T, U ) ) ] )
% 69.78/70.17 , clause( 43877, [ between( u, v, w ) ] )
% 69.78/70.17 , clause( 43878, [ between( u, w, v ) ] )
% 69.78/70.17 , clause( 43879, [ ~( =( v, w ) ) ] )
% 69.78/70.17 ] ).
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 subsumption(
% 69.78/70.17 clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 69.78/70.17 , clause( 43861, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 69.78/70.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 69.78/70.17 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 subsumption(
% 69.78/70.17 clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 69.78/70.17 , clause( 43862, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 69.78/70.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 69.78/70.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 subsumption(
% 69.78/70.17 clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 69.78/70.17 , clause( 43863, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 69.78/70.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 69.78/70.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 subsumption(
% 69.78/70.17 clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 69.78/70.17 , clause( 43865, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 69.78/70.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 69.78/70.17 ), ==>( 1, 1 )] ) ).
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 subsumption(
% 69.78/70.17 clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y,
% 69.78/70.17 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 69.78/70.17 , clause( 43866, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 69.78/70.17 between( Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 69.78/70.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 69.78/70.17 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 69.78/70.17 ).
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 subsumption(
% 69.78/70.17 clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U,
% 69.78/70.17 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 69.78/70.17 , clause( 43867, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ),
% 69.78/70.17 between( U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 69.78/70.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=( U
% 69.78/70.17 , U )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] )
% 69.78/70.17 ).
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 subsumption(
% 69.78/70.17 clause( 18, [ between( u, v, w ) ] )
% 69.78/70.17 , clause( 43877, [ between( u, v, w ) ] )
% 69.78/70.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 subsumption(
% 69.78/70.17 clause( 19, [ between( u, w, v ) ] )
% 69.78/70.17 , clause( 43878, [ between( u, w, v ) ] )
% 69.78/70.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 eqswap(
% 69.78/70.17 clause( 44159, [ ~( =( w, v ) ) ] )
% 69.78/70.17 , clause( 43879, [ ~( =( v, w ) ) ] )
% 69.78/70.17 , 0, substitution( 0, [] )).
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 subsumption(
% 69.78/70.17 clause( 20, [ ~( =( w, v ) ) ] )
% 69.78/70.17 , clause( 44159, [ ~( =( w, v ) ) ] )
% 69.78/70.17 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 eqswap(
% 69.78/70.17 clause( 44160, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 69.78/70.17 , clause( 2, [ ~( equidistant( X, Y, Z, Z ) ), =( X, Y ) ] )
% 69.78/70.17 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 resolution(
% 69.78/70.17 clause( 44161, [ =( extension( X, Y, Z, Z ), Y ) ] )
% 69.78/70.17 , clause( 44160, [ =( Y, X ), ~( equidistant( X, Y, Z, Z ) ) ] )
% 69.78/70.17 , 1, clause( 4, [ equidistant( X, extension( Y, X, Z, T ), Z, T ) ] )
% 69.78/70.17 , 0, substitution( 0, [ :=( X, Y ), :=( Y, extension( X, Y, Z, Z ) ), :=( Z
% 69.78/70.17 , Z )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, Z
% 69.78/70.17 )] )).
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 subsumption(
% 69.78/70.17 clause( 173, [ =( extension( Y, X, Z, Z ), X ) ] )
% 69.78/70.17 , clause( 44161, [ =( extension( X, Y, Z, Z ), Y ) ] )
% 69.78/70.17 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 69.78/70.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 paramod(
% 69.78/70.17 clause( 44164, [ between( X, Y, Y ) ] )
% 69.78/70.17 , clause( 173, [ =( extension( Y, X, Z, Z ), X ) ] )
% 69.78/70.17 , 0, clause( 3, [ between( X, Y, extension( X, Y, Z, T ) ) ] )
% 69.78/70.17 , 0, 3, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] ),
% 69.78/70.17 substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Z )] )).
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 subsumption(
% 69.78/70.17 clause( 181, [ between( X, Y, Y ) ] )
% 69.78/70.17 , clause( 44164, [ between( X, Y, Y ) ] )
% 69.78/70.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 69.78/70.17 )] ) ).
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 resolution(
% 69.78/70.17 clause( 44165, [ ~( between( Z, T, Y ) ), between( Y, 'inner_pasch'( X, Y,
% 69.78/70.17 Y, T, Z ), Z ) ] )
% 69.78/70.17 , clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y
% 69.78/70.17 , 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 69.78/70.17 , 0, clause( 181, [ between( X, Y, Y ) ] )
% 69.78/70.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Z ),
% 69.78/70.17 :=( U, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 subsumption(
% 69.78/70.17 clause( 280, [ ~( between( X, Y, Z ) ), between( Z, 'inner_pasch'( T, Z, Z
% 69.78/70.17 , Y, X ), X ) ] )
% 69.78/70.17 , clause( 44165, [ ~( between( Z, T, Y ) ), between( Y, 'inner_pasch'( X, Y
% 69.78/70.17 , Y, T, Z ), Z ) ] )
% 69.78/70.17 , substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] ),
% 69.78/70.17 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 resolution(
% 69.78/70.17 clause( 44168, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( X, Y,
% 69.78/70.17 Z, Z, T ), T ) ] )
% 69.78/70.17 , clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y
% 69.78/70.17 , 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 69.78/70.17 , 1, clause( 181, [ between( X, Y, Y ) ] )
% 69.78/70.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ),
% 69.78/70.17 :=( U, Z )] ), substitution( 1, [ :=( X, T ), :=( Y, Z )] )).
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 subsumption(
% 69.78/70.17 clause( 281, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( X, Y, Z
% 69.78/70.17 , Z, T ), T ) ] )
% 69.78/70.17 , clause( 44168, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( X, Y
% 69.78/70.17 , Z, Z, T ), T ) ] )
% 69.78/70.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 69.78/70.17 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 eqswap(
% 69.78/70.17 clause( 44169, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 69.78/70.17 , clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 69.78/70.17 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 resolution(
% 69.78/70.17 clause( 44170, [ =( 'inner_pasch'( X, Y, Z, T, Y ), Y ), ~( between( X, Y,
% 69.78/70.17 Z ) ), ~( between( Y, T, Z ) ) ] )
% 69.78/70.17 , clause( 44169, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 69.78/70.17 , 1, clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 69.78/70.17 Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 69.78/70.17 , 2, substitution( 0, [ :=( X, Y ), :=( Y, 'inner_pasch'( X, Y, Z, T, Y ) )] )
% 69.78/70.17 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y ), :=(
% 69.78/70.17 U, T )] )).
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 subsumption(
% 69.78/70.17 clause( 284, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), =(
% 69.78/70.17 'inner_pasch'( X, Y, Z, T, Y ), Y ) ] )
% 69.78/70.17 , clause( 44170, [ =( 'inner_pasch'( X, Y, Z, T, Y ), Y ), ~( between( X, Y
% 69.78/70.17 , Z ) ), ~( between( Y, T, Z ) ) ] )
% 69.78/70.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 69.78/70.17 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 resolution(
% 69.78/70.17 clause( 44175, [ ~( between( X, Y, w ) ), between( Y, 'inner_pasch'( X, Y,
% 69.78/70.17 w, v, u ), u ) ] )
% 69.78/70.17 , clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y
% 69.78/70.17 , 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 69.78/70.17 , 1, clause( 18, [ between( u, v, w ) ] )
% 69.78/70.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, w ), :=( T, u ),
% 69.78/70.17 :=( U, v )] ), substitution( 1, [] )).
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 subsumption(
% 69.78/70.17 clause( 286, [ ~( between( X, Y, w ) ), between( Y, 'inner_pasch'( X, Y, w
% 69.78/70.17 , v, u ), u ) ] )
% 69.78/70.17 , clause( 44175, [ ~( between( X, Y, w ) ), between( Y, 'inner_pasch'( X, Y
% 69.78/70.17 , w, v, u ), u ) ] )
% 69.78/70.17 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 69.78/70.17 ), ==>( 1, 1 )] ) ).
% 69.78/70.17
% 69.78/70.17
% 69.78/70.17 resolution(
% 188.75/189.21 clause( 44177, [ ~( between( X, Y, v ) ), between( Y, 'inner_pasch'( X, Y,
% 188.75/189.21 v, w, u ), u ) ] )
% 188.75/189.21 , clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( Y
% 188.75/189.21 , 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 188.75/189.21 , 1, clause( 19, [ between( u, w, v ) ] )
% 188.75/189.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, v ), :=( T, u ),
% 188.75/189.21 :=( U, w )] ), substitution( 1, [] )).
% 188.75/189.21
% 188.75/189.21
% 188.75/189.21 subsumption(
% 188.75/189.21 clause( 288, [ ~( between( X, Y, v ) ), between( Y, 'inner_pasch'( X, Y, v
% 188.75/189.21 , w, u ), u ) ] )
% 188.75/189.21 , clause( 44177, [ ~( between( X, Y, v ) ), between( Y, 'inner_pasch'( X, Y
% 188.75/189.21 , v, w, u ), u ) ] )
% 188.75/189.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 188.75/189.21 ), ==>( 1, 1 )] ) ).
% 188.75/189.21
% 188.75/189.21
% 188.75/189.21 eqswap(
% 188.75/189.21 clause( 44178, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 188.75/189.21 , clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 188.75/189.21 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 188.75/189.21
% 188.75/189.21
% 188.75/189.21 paramod(
% 188.75/189.21 clause( 44179, [ between( X, W, U ), ~( between( W, 'inner_pasch'( Y, X, Z
% 188.75/189.21 , T, U ), W ) ), ~( between( Y, X, Z ) ), ~( between( U, T, Z ) ) ] )
% 188.75/189.21 , clause( 44178, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 188.75/189.21 , 0, clause( 7, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 188.75/189.21 Y, 'inner_pasch'( X, Y, Z, U, T ), T ) ] )
% 188.75/189.21 , 2, 2, substitution( 0, [ :=( X, W ), :=( Y, 'inner_pasch'( Y, X, Z, T, U
% 188.75/189.21 ) )] ), substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, U
% 188.75/189.21 ), :=( U, T )] )).
% 188.75/189.21
% 188.75/189.21
% 188.75/189.21 subsumption(
% 188.75/189.21 clause( 294, [ ~( between( X, Y, Z ) ), ~( between( U, T, Z ) ), between( Y
% 188.75/189.21 , W, U ), ~( between( W, 'inner_pasch'( X, Y, Z, T, U ), W ) ) ] )
% 188.75/189.21 , clause( 44179, [ between( X, W, U ), ~( between( W, 'inner_pasch'( Y, X,
% 188.75/189.21 Z, T, U ), W ) ), ~( between( Y, X, Z ) ), ~( between( U, T, Z ) ) ] )
% 188.75/189.21 , substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z ), :=( T, T ), :=( U
% 188.75/189.21 , U ), :=( W, W )] ), permutation( 0, [ ==>( 0, 2 ), ==>( 1, 3 ), ==>( 2
% 188.75/189.21 , 0 ), ==>( 3, 1 )] ) ).
% 188.75/189.21
% 188.75/189.21
% 188.75/189.21 resolution(
% 188.75/189.21 clause( 49799, [ ~( between( Z, T, Y ) ), between( T, 'inner_pasch'( X, Y,
% 188.75/189.21 Y, T, Z ), X ) ] )
% 188.75/189.21 , clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U
% 188.75/189.21 , 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 188.75/189.21 , 0, clause( 181, [ between( X, Y, Y ) ] )
% 188.75/189.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Z ),
% 188.75/189.21 :=( U, T )] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 188.75/189.21
% 188.75/189.21
% 188.75/189.21 subsumption(
% 188.75/189.21 clause( 352, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( T, Z, Z
% 188.75/189.21 , Y, X ), T ) ] )
% 188.75/189.21 , clause( 49799, [ ~( between( Z, T, Y ) ), between( T, 'inner_pasch'( X, Y
% 188.75/189.21 , Y, T, Z ), X ) ] )
% 188.75/189.21 , substitution( 0, [ :=( X, T ), :=( Y, Z ), :=( Z, X ), :=( T, Y )] ),
% 188.75/189.21 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 188.75/189.21
% 188.75/189.21
% 188.75/189.21 eqswap(
% 188.75/189.21 clause( 49801, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 188.75/189.21 , clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 188.75/189.21 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 188.75/189.21
% 188.75/189.21
% 188.75/189.21 resolution(
% 188.75/189.21 clause( 49802, [ =( 'inner_pasch'( X, Y, Z, X, T ), X ), ~( between( X, Y,
% 188.75/189.21 Z ) ), ~( between( T, X, Z ) ) ] )
% 188.75/189.21 , clause( 49801, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 188.75/189.21 , 1, clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 188.75/189.21 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 188.75/189.21 , 2, substitution( 0, [ :=( X, X ), :=( Y, 'inner_pasch'( X, Y, Z, X, T ) )] )
% 188.75/189.21 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T ), :=(
% 188.75/189.21 U, X )] )).
% 188.75/189.21
% 188.75/189.21
% 188.75/189.21 subsumption(
% 188.75/189.21 clause( 356, [ ~( between( X, Y, Z ) ), ~( between( T, X, Z ) ), =(
% 188.75/189.21 'inner_pasch'( X, Y, Z, X, T ), X ) ] )
% 188.75/189.21 , clause( 49802, [ =( 'inner_pasch'( X, Y, Z, X, T ), X ), ~( between( X, Y
% 188.75/189.21 , Z ) ), ~( between( T, X, Z ) ) ] )
% 188.75/189.21 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 188.75/189.21 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 188.75/189.21
% 188.75/189.21
% 188.75/189.21 resolution(
% 188.75/189.21 clause( 49806, [ ~( between( X, Y, w ) ), between( Y, 'inner_pasch'( u, v,
% 188.75/189.21 w, Y, X ), u ) ] )
% 188.75/189.21 , clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between( U
% 188.75/189.21 , 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 188.75/189.21 , 0, clause( 18, [ between( u, v, w ) ] )
% 188.75/189.21 , 0, substitution( 0, [ :=( X, u ), :=( Y, v ), :=( Z, w ), :=( T, X ),
% 188.75/189.21 :=( U, Y )] ), substitution( 1, [] )).
% 188.75/189.21
% 188.75/189.21
% 188.75/189.21 subsumption(
% 188.75/189.21 clause( 357, [ ~( between( X, Y, w ) ), between( Y, 'inner_pasch'( u, v, w
% 188.75/189.21 , Y, X ), u ) ] )
% 188.75/189.21 , clause( 49806, [ ~( between( X, Y, w ) ), between( Y, 'inner_pasch'( u, v
% 188.75/189.21 , w, Y, X ), u ) ] )
% 188.75/189.21 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 188.75/189.21 ), ==>( 1, 1 )] ) ).
% 188.75/189.21
% 188.75/189.21
% 188.75/189.21 resolution(
% 188.75/189.21 clause( 49808, [ between( Y, 'inner_pasch'( Z, Y, Y, Y, X ), X ) ] )
% 188.75/189.21 , clause( 280, [ ~( between( X, Y, Z ) ), between( Z, 'inner_pasch'( T, Z,
% 188.75/189.21 Z, Y, X ), X ) ] )
% 188.75/189.21 , 0, clause( 181, [ between( X, Y, Y ) ] )
% 188.75/189.21 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, Z )] ),
% 188.75/189.21 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 188.75/189.21
% 188.75/189.21
% 188.75/189.21 subsumption(
% 188.75/189.21 clause( 12776, [ between( X, 'inner_pasch'( Y, X, X, X, Z ), Z ) ] )
% 188.75/189.21 , clause( 49808, [ between( Y, 'inner_pasch'( Z, Y, Y, Y, X ), X ) ] )
% 188.75/189.21 , substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 188.75/189.21 permutation( 0, [ ==>( 0, 0 )] ) ).
% 188.75/189.21
% 188.75/189.21
% 188.75/189.21 resolution(
% 188.75/189.21 clause( 49809, [ between( v, 'inner_pasch'( u, v, w, w, X ), X ) ] )
% 188.75/189.21 , clause( 281, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( X, Y,
% 188.75/189.21 Z, Z, T ), T ) ] )
% 188.75/189.21 , 0, clause( 18, [ between( u, v, w ) ] )
% 188.75/189.21 , 0, substitution( 0, [ :=( X, u ), :=( Y, v ), :=( Z, w ), :=( T, X )] ),
% 188.75/189.21 substitution( 1, [] )).
% 188.75/189.21
% 188.75/189.21
% 188.75/189.21 subsumption(
% 188.75/189.21 clause( 13034, [ between( v, 'inner_pasch'( u, v, w, w, X ), X ) ] )
% 188.75/189.21 , clause( 49809, [ between( v, 'inner_pasch'( u, v, w, w, X ), X ) ] )
% 188.75/189.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 188.75/189.21
% 188.75/189.21
% 188.75/189.21 resolution(
% 188.75/189.21 clause( 49810, [ between( w, 'inner_pasch'( u, w, v, v, X ), X ) ] )
% 188.75/189.21 , clause( 281, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( X, Y,
% 188.75/189.21 Z, Z, T ), T ) ] )
% 188.75/189.21 , 0, clause( 19, [ between( u, w, v ) ] )
% 188.75/189.21 , 0, substitution( 0, [ :=( X, u ), :=( Y, w ), :=( Z, v ), :=( T, X )] ),
% 188.75/189.21 substitution( 1, [] )).
% 188.75/189.21
% 188.75/189.21
% 188.75/189.21 subsumption(
% 188.75/189.21 clause( 13035, [ between( w, 'inner_pasch'( u, w, v, v, X ), X ) ] )
% 188.75/189.21 , clause( 49810, [ between( w, 'inner_pasch'( u, w, v, v, X ), X ) ] )
% 188.75/189.21 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 188.75/189.21
% 188.75/189.21
% 188.75/189.21 eqswap(
% 188.75/189.21 clause( 49811, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 188.75/189.21 , clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 188.75/189.21 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 188.75/189.21
% 188.75/189.21
% 188.75/189.21 resolution(
% 188.75/189.21 clause( 49812, [ =( 'inner_pasch'( X, Y, Y, Y, Y ), Y ) ] )
% 188.75/189.21 , clause( 49811, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 188.75/189.21 , 1, clause( 12776, [ between( X, 'inner_pasch'( Y, X, X, X, Z ), Z ) ] )
% 188.75/189.21 , 0, substitution( 0, [ :=( X, Y ), :=( Y, 'inner_pasch'( X, Y, Y, Y, Y ) )] )
% 188.75/189.21 , substitution( 1, [ :=( X, Y ), :=( Y, X ), :=( Z, Y )] )).
% 188.75/189.21
% 188.75/189.21
% 188.75/189.21 subsumption(
% 188.75/189.21 clause( 13329, [ =( 'inner_pasch'( Y, X, X, X, X ), X ) ] )
% 188.75/189.21 , clause( 49812, [ =( 'inner_pasch'( X, Y, Y, Y, Y ), Y ) ] )
% 188.75/189.21 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 188.75/189.21 )] ) ).
% 188.75/189.21
% 188.75/189.21
% 188.75/189.21 paramod(
% 188.75/189.21 clause( 49815, [ between( X, X, Y ), ~( between( Y, X, X ) ), ~( between( X
% 188.75/189.21 , X, X ) ) ] )
% 188.75/189.21 , clause( 13329, [ =( 'inner_pasch'( Y, X, X, X, X ), X ) ] )
% 188.75/189.21 , 0, clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 188.75/189.21 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 188.75/189.21 , 2, 2, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [
% 188.75/189.21 :=( X, Y ), :=( Y, X ), :=( Z, X ), :=( T, X ), :=( U, X )] )).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 resolution(
% 188.75/189.22 clause( 49818, [ between( X, X, Y ), ~( between( X, X, X ) ) ] )
% 188.75/189.22 , clause( 49815, [ between( X, X, Y ), ~( between( Y, X, X ) ), ~( between(
% 188.75/189.22 X, X, X ) ) ] )
% 188.75/189.22 , 1, clause( 181, [ between( X, Y, Y ) ] )
% 188.75/189.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [ :=( X
% 188.75/189.22 , Y ), :=( Y, X )] )).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 subsumption(
% 188.75/189.22 clause( 13335, [ ~( between( Y, Y, Y ) ), between( Y, Y, X ) ] )
% 188.75/189.22 , clause( 49818, [ between( X, X, Y ), ~( between( X, X, X ) ) ] )
% 188.75/189.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 1
% 188.75/189.22 ), ==>( 1, 0 )] ) ).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 resolution(
% 188.75/189.22 clause( 49820, [ between( X, X, Y ) ] )
% 188.75/189.22 , clause( 13335, [ ~( between( Y, Y, Y ) ), between( Y, Y, X ) ] )
% 188.75/189.22 , 0, clause( 181, [ between( X, Y, Y ) ] )
% 188.75/189.22 , 0, substitution( 0, [ :=( X, Y ), :=( Y, X )] ), substitution( 1, [ :=( X
% 188.75/189.22 , X ), :=( Y, X )] )).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 subsumption(
% 188.75/189.22 clause( 13336, [ between( Y, Y, X ) ] )
% 188.75/189.22 , clause( 49820, [ between( X, X, Y ) ] )
% 188.75/189.22 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 0
% 188.75/189.22 )] ) ).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 eqswap(
% 188.75/189.22 clause( 49821, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 188.75/189.22 , clause( 6, [ ~( between( X, Y, X ) ), =( X, Y ) ] )
% 188.75/189.22 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 resolution(
% 188.75/189.22 clause( 49822, [ =( 'inner_pasch'( u, w, v, v, w ), w ) ] )
% 188.75/189.22 , clause( 49821, [ =( Y, X ), ~( between( X, Y, X ) ) ] )
% 188.75/189.22 , 1, clause( 13035, [ between( w, 'inner_pasch'( u, w, v, v, X ), X ) ] )
% 188.75/189.22 , 0, substitution( 0, [ :=( X, w ), :=( Y, 'inner_pasch'( u, w, v, v, w ) )] )
% 188.75/189.22 , substitution( 1, [ :=( X, w )] )).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 subsumption(
% 188.75/189.22 clause( 15720, [ =( 'inner_pasch'( u, w, v, v, w ), w ) ] )
% 188.75/189.22 , clause( 49822, [ =( 'inner_pasch'( u, w, v, v, w ), w ) ] )
% 188.75/189.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 paramod(
% 188.75/189.22 clause( 49825, [ between( v, w, u ), ~( between( u, w, v ) ), ~( between( w
% 188.75/189.22 , v, v ) ) ] )
% 188.75/189.22 , clause( 15720, [ =( 'inner_pasch'( u, w, v, v, w ), w ) ] )
% 188.75/189.22 , 0, clause( 8, [ ~( between( X, Y, Z ) ), ~( between( T, U, Z ) ), between(
% 188.75/189.22 U, 'inner_pasch'( X, Y, Z, U, T ), X ) ] )
% 188.75/189.22 , 2, 2, substitution( 0, [] ), substitution( 1, [ :=( X, u ), :=( Y, w ),
% 188.75/189.22 :=( Z, v ), :=( T, w ), :=( U, v )] )).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 resolution(
% 188.75/189.22 clause( 49826, [ between( v, w, u ), ~( between( w, v, v ) ) ] )
% 188.75/189.22 , clause( 49825, [ between( v, w, u ), ~( between( u, w, v ) ), ~( between(
% 188.75/189.22 w, v, v ) ) ] )
% 188.75/189.22 , 1, clause( 19, [ between( u, w, v ) ] )
% 188.75/189.22 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 subsumption(
% 188.75/189.22 clause( 15732, [ ~( between( w, v, v ) ), between( v, w, u ) ] )
% 188.75/189.22 , clause( 49826, [ between( v, w, u ), ~( between( w, v, v ) ) ] )
% 188.75/189.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 188.75/189.22 ).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 resolution(
% 188.75/189.22 clause( 49827, [ between( v, w, u ) ] )
% 188.75/189.22 , clause( 15732, [ ~( between( w, v, v ) ), between( v, w, u ) ] )
% 188.75/189.22 , 0, clause( 181, [ between( X, Y, Y ) ] )
% 188.75/189.22 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, w ), :=( Y, v )] )
% 188.75/189.22 ).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 subsumption(
% 188.75/189.22 clause( 15745, [ between( v, w, u ) ] )
% 188.75/189.22 , clause( 49827, [ between( v, w, u ) ] )
% 188.75/189.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 resolution(
% 188.75/189.22 clause( 49832, [ ~( between( X, Y, Y ) ), ~( between( Z, X, Y ) ), between(
% 188.75/189.22 Y, X, Z ), ~( between( Z, X, Y ) ) ] )
% 188.75/189.22 , clause( 294, [ ~( between( X, Y, Z ) ), ~( between( U, T, Z ) ), between(
% 188.75/189.22 Y, W, U ), ~( between( W, 'inner_pasch'( X, Y, Z, T, U ), W ) ) ] )
% 188.75/189.22 , 3, clause( 352, [ ~( between( X, Y, Z ) ), between( Y, 'inner_pasch'( T,
% 188.75/189.22 Z, Z, Y, X ), T ) ] )
% 188.75/189.22 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Y ), :=( T, X ),
% 188.75/189.22 :=( U, Z ), :=( W, X )] ), substitution( 1, [ :=( X, Z ), :=( Y, X ),
% 188.75/189.22 :=( Z, Y ), :=( T, X )] )).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 resolution(
% 188.75/189.22 clause( 49838, [ ~( between( Z, X, Y ) ), between( Y, X, Z ), ~( between( Z
% 188.75/189.22 , X, Y ) ) ] )
% 188.75/189.22 , clause( 49832, [ ~( between( X, Y, Y ) ), ~( between( Z, X, Y ) ),
% 188.75/189.22 between( Y, X, Z ), ~( between( Z, X, Y ) ) ] )
% 188.75/189.22 , 0, clause( 181, [ between( X, Y, Y ) ] )
% 188.75/189.22 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 188.75/189.22 substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 factor(
% 188.75/189.22 clause( 49839, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 188.75/189.22 , clause( 49838, [ ~( between( Z, X, Y ) ), between( Y, X, Z ), ~( between(
% 188.75/189.22 Z, X, Y ) ) ] )
% 188.75/189.22 , 0, 2, substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] )).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 subsumption(
% 188.75/189.22 clause( 16379, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 188.75/189.22 , clause( 49839, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 188.75/189.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 188.75/189.22 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 paramod(
% 188.75/189.22 clause( 49841, [ between( X, w, u ), ~( between( w, X, v ) ), ~( between( u
% 188.75/189.22 , w, v ) ), ~( between( w, X, v ) ) ] )
% 188.75/189.22 , clause( 356, [ ~( between( X, Y, Z ) ), ~( between( T, X, Z ) ), =(
% 188.75/189.22 'inner_pasch'( X, Y, Z, X, T ), X ) ] )
% 188.75/189.22 , 2, clause( 288, [ ~( between( X, Y, v ) ), between( Y, 'inner_pasch'( X,
% 188.75/189.22 Y, v, w, u ), u ) ] )
% 188.75/189.22 , 1, 2, substitution( 0, [ :=( X, w ), :=( Y, X ), :=( Z, v ), :=( T, u )] )
% 188.75/189.22 , substitution( 1, [ :=( X, w ), :=( Y, X )] )).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 resolution(
% 188.75/189.22 clause( 49843, [ between( X, w, u ), ~( between( w, X, v ) ), ~( between( w
% 188.75/189.22 , X, v ) ) ] )
% 188.75/189.22 , clause( 49841, [ between( X, w, u ), ~( between( w, X, v ) ), ~( between(
% 188.75/189.22 u, w, v ) ), ~( between( w, X, v ) ) ] )
% 188.75/189.22 , 2, clause( 19, [ between( u, w, v ) ] )
% 188.75/189.22 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 factor(
% 188.75/189.22 clause( 49844, [ between( X, w, u ), ~( between( w, X, v ) ) ] )
% 188.75/189.22 , clause( 49843, [ between( X, w, u ), ~( between( w, X, v ) ), ~( between(
% 188.75/189.22 w, X, v ) ) ] )
% 188.75/189.22 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 subsumption(
% 188.75/189.22 clause( 17262, [ ~( between( w, X, v ) ), between( X, w, u ) ] )
% 188.75/189.22 , clause( 49844, [ between( X, w, u ), ~( between( w, X, v ) ) ] )
% 188.75/189.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 188.75/189.22 0 )] ) ).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 paramod(
% 188.75/189.22 clause( 49846, [ between( X, v, u ), ~( between( v, X, w ) ), ~( between( u
% 188.75/189.22 , v, w ) ), ~( between( v, X, w ) ) ] )
% 188.75/189.22 , clause( 356, [ ~( between( X, Y, Z ) ), ~( between( T, X, Z ) ), =(
% 188.75/189.22 'inner_pasch'( X, Y, Z, X, T ), X ) ] )
% 188.75/189.22 , 2, clause( 286, [ ~( between( X, Y, w ) ), between( Y, 'inner_pasch'( X,
% 188.75/189.22 Y, w, v, u ), u ) ] )
% 188.75/189.22 , 1, 2, substitution( 0, [ :=( X, v ), :=( Y, X ), :=( Z, w ), :=( T, u )] )
% 188.75/189.22 , substitution( 1, [ :=( X, v ), :=( Y, X )] )).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 resolution(
% 188.75/189.22 clause( 49848, [ between( X, v, u ), ~( between( v, X, w ) ), ~( between( v
% 188.75/189.22 , X, w ) ) ] )
% 188.75/189.22 , clause( 49846, [ between( X, v, u ), ~( between( v, X, w ) ), ~( between(
% 188.75/189.22 u, v, w ) ), ~( between( v, X, w ) ) ] )
% 188.75/189.22 , 2, clause( 18, [ between( u, v, w ) ] )
% 188.75/189.22 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 factor(
% 188.75/189.22 clause( 49849, [ between( X, v, u ), ~( between( v, X, w ) ) ] )
% 188.75/189.22 , clause( 49848, [ between( X, v, u ), ~( between( v, X, w ) ), ~( between(
% 188.75/189.22 v, X, w ) ) ] )
% 188.75/189.22 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 subsumption(
% 188.75/189.22 clause( 17264, [ ~( between( v, X, w ) ), between( X, v, u ) ] )
% 188.75/189.22 , clause( 49849, [ between( X, v, u ), ~( between( v, X, w ) ) ] )
% 188.75/189.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 188.75/189.22 0 )] ) ).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 eqswap(
% 188.75/189.22 clause( 49850, [ =( X, 'inner_pasch'( X, Y, Z, X, T ) ), ~( between( X, Y,
% 188.75/189.22 Z ) ), ~( between( T, X, Z ) ) ] )
% 188.75/189.22 , clause( 356, [ ~( between( X, Y, Z ) ), ~( between( T, X, Z ) ), =(
% 188.75/189.22 'inner_pasch'( X, Y, Z, X, T ), X ) ] )
% 188.75/189.22 , 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] )
% 188.75/189.22 ).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 paramod(
% 188.75/189.22 clause( 49852, [ =( X, Y ), ~( between( X, Y, Z ) ), ~( between( Y, X, Z )
% 188.75/189.22 ), ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ) ] )
% 188.75/189.22 , clause( 284, [ ~( between( X, Y, Z ) ), ~( between( Y, T, Z ) ), =(
% 188.75/189.22 'inner_pasch'( X, Y, Z, T, Y ), Y ) ] )
% 188.75/189.22 , 2, clause( 49850, [ =( X, 'inner_pasch'( X, Y, Z, X, T ) ), ~( between( X
% 188.75/189.22 , Y, Z ) ), ~( between( T, X, Z ) ) ] )
% 188.75/189.22 , 0, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, X )] )
% 188.75/189.22 , substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, Y )] )
% 188.75/189.22 ).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 factor(
% 188.75/189.22 clause( 49854, [ =( X, Y ), ~( between( X, Y, Z ) ), ~( between( Y, X, Z )
% 188.75/189.22 ), ~( between( Y, X, Z ) ) ] )
% 188.75/189.22 , clause( 49852, [ =( X, Y ), ~( between( X, Y, Z ) ), ~( between( Y, X, Z
% 188.75/189.22 ) ), ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ) ] )
% 188.75/189.22 , 1, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 factor(
% 188.75/189.22 clause( 49856, [ =( X, Y ), ~( between( X, Y, Z ) ), ~( between( Y, X, Z )
% 188.75/189.22 ) ] )
% 188.75/189.22 , clause( 49854, [ =( X, Y ), ~( between( X, Y, Z ) ), ~( between( Y, X, Z
% 188.75/189.22 ) ), ~( between( Y, X, Z ) ) ] )
% 188.75/189.22 , 2, 3, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 subsumption(
% 188.75/189.22 clause( 17266, [ ~( between( X, Y, Z ) ), ~( between( Y, X, Z ) ), =( X, Y
% 188.75/189.22 ) ] )
% 188.75/189.22 , clause( 49856, [ =( X, Y ), ~( between( X, Y, Z ) ), ~( between( Y, X, Z
% 188.75/189.22 ) ) ] )
% 188.75/189.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 188.75/189.22 permutation( 0, [ ==>( 0, 2 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 resolution(
% 188.75/189.22 clause( 49858, [ between( X, w, u ), ~( between( v, X, w ) ) ] )
% 188.75/189.22 , clause( 17262, [ ~( between( w, X, v ) ), between( X, w, u ) ] )
% 188.75/189.22 , 0, clause( 16379, [ ~( between( X, Y, Z ) ), between( Z, Y, X ) ] )
% 188.75/189.22 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, v ), :=( Y
% 188.75/189.22 , X ), :=( Z, w )] )).
% 188.75/189.22
% 188.75/189.22
% 188.75/189.22 subsumption(
% 188.75/189.22 clause( 17271, [ between( X, w, u ), ~( between( v, X, w ) ) ] )
% 188.75/189.22 , clause( 49858, [ between( X, w, u ), ~( between( v, X, w ) ) ] )
% 188.75/189.22 , substitution( 0, [ :=( XCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------