TSTP Solution File: GEO196+3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO196+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 02:52:35 EDT 2022
% Result : Theorem 244.46s 244.82s
% Output : Refutation 244.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO196+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n013.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 09:59:59 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.35/1.77 *** allocated 10000 integers for termspace/termends
% 1.35/1.77 *** allocated 10000 integers for clauses
% 1.35/1.77 *** allocated 10000 integers for justifications
% 1.35/1.77 Bliksem 1.12
% 1.35/1.77
% 1.35/1.77
% 1.35/1.77 Automatic Strategy Selection
% 1.35/1.77
% 1.35/1.77
% 1.35/1.77 Clauses:
% 1.35/1.77
% 1.35/1.77 { ! distinct_points( X, X ) }.
% 1.35/1.77 { ! distinct_lines( X, X ) }.
% 1.35/1.77 { ! convergent_lines( X, X ) }.
% 1.35/1.77 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 1.35/1.77 ) }.
% 1.35/1.77 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 1.35/1.77 }.
% 1.35/1.77 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 1.35/1.77 , Z ) }.
% 1.35/1.77 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 1.35/1.77 , Y ) ) }.
% 1.35/1.77 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 1.35/1.77 , Y ) ) }.
% 1.35/1.77 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 1.35/1.77 , Y ), X ) }.
% 1.35/1.77 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 1.35/1.77 , Y ), Y ) }.
% 1.35/1.77 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 1.35/1.77 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.35/1.77 apart_point_and_line( Y, T ) }.
% 1.35/1.77 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 1.35/1.77 apart_point_and_line( Z, Y ) }.
% 1.35/1.77 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 1.35/1.77 apart_point_and_line( X, Z ) }.
% 1.35/1.77 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 1.35/1.77 Z ) }.
% 1.35/1.77 { ! distinct_lines( X, Y ), convergent_lines( X, Y ) }.
% 1.35/1.77 { ! convergent_lines( parallel_through_point( Y, X ), Y ) }.
% 1.35/1.77 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 1.35/1.77 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 1.35/1.77 apart_point_and_line( Z, Y ), convergent_lines( X, Y ) }.
% 1.35/1.77 { convergent_lines( X, Y ), unorthogonal_lines( X, Y ) }.
% 1.35/1.77 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Z )
% 1.35/1.77 , convergent_lines( Y, Z ) }.
% 1.35/1.77 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Z )
% 1.35/1.77 , unorthogonal_lines( Y, Z ) }.
% 1.35/1.77 { ! alpha1( X, Y ), convergent_lines( X, Y ) }.
% 1.35/1.77 { ! alpha1( X, Y ), unorthogonal_lines( X, Y ) }.
% 1.35/1.77 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Y )
% 1.35/1.77 }.
% 1.35/1.77 { ! unorthogonal_lines( orthogonal_through_point( Y, X ), Y ) }.
% 1.35/1.77 { ! apart_point_and_line( X, orthogonal_through_point( Y, X ) ) }.
% 1.35/1.77 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 1.35/1.77 apart_point_and_line( Z, Y ), unorthogonal_lines( X, T ),
% 1.35/1.77 unorthogonal_lines( Y, T ) }.
% 1.35/1.77 { convergent_lines( X, Y ), unorthogonal_lines( X, Y ) }.
% 1.35/1.77 { alpha2( X, Z ), convergent_lines( Z, Y ), ! convergent_lines( X, Y ), !
% 1.35/1.77 unorthogonal_lines( X, Y ) }.
% 1.35/1.77 { alpha2( X, Z ), unorthogonal_lines( Z, Y ), ! convergent_lines( X, Y ), !
% 1.35/1.77 unorthogonal_lines( X, Y ) }.
% 1.35/1.77 { ! alpha2( X, Y ), convergent_lines( Y, X ) }.
% 1.35/1.77 { ! alpha2( X, Y ), unorthogonal_lines( Y, X ) }.
% 1.35/1.77 { ! convergent_lines( Y, X ), ! unorthogonal_lines( Y, X ), alpha2( X, Y )
% 1.35/1.77 }.
% 1.35/1.77 { unorthogonal_lines( Z, X ), unorthogonal_lines( Z, Y ), !
% 1.35/1.77 convergent_lines( X, Y ) }.
% 1.35/1.77 { ! point( X ), ! point( Y ), ! distinct_points( X, Y ), line(
% 1.35/1.77 line_connecting( X, Y ) ) }.
% 1.35/1.77 { ! line( X ), ! line( Y ), ! convergent_lines( X, Y ), point(
% 1.35/1.77 intersection_point( X, Y ) ) }.
% 1.35/1.77 { ! line( X ), ! point( Y ), line( parallel_through_point( X, Y ) ) }.
% 1.35/1.77 { ! line( X ), ! point( Y ), line( orthogonal_through_point( X, Y ) ) }.
% 1.35/1.77 { ! equal_points( X, Y ), ! distinct_points( X, Y ) }.
% 1.35/1.77 { distinct_points( X, Y ), equal_points( X, Y ) }.
% 1.35/1.77 { ! equal_lines( X, Y ), ! distinct_lines( X, Y ) }.
% 1.35/1.77 { distinct_lines( X, Y ), equal_lines( X, Y ) }.
% 1.35/1.77 { ! parallel_lines( X, Y ), ! convergent_lines( X, Y ) }.
% 1.35/1.77 { convergent_lines( X, Y ), parallel_lines( X, Y ) }.
% 1.35/1.77 { ! incident_point_and_line( X, Y ), ! apart_point_and_line( X, Y ) }.
% 1.35/1.77 { apart_point_and_line( X, Y ), incident_point_and_line( X, Y ) }.
% 1.35/1.77 { ! orthogonal_lines( X, Y ), ! unorthogonal_lines( X, Y ) }.
% 1.35/1.77 { unorthogonal_lines( X, Y ), orthogonal_lines( X, Y ) }.
% 1.35/1.77 { convergent_lines( skol1, skol2 ) }.
% 1.35/1.77 { convergent_lines( skol3, skol4 ) }.
% 1.35/1.77 { incident_point_and_line( intersection_point( skol1, skol2 ), skol3 ) }.
% 1.35/1.77 { incident_point_and_line( intersection_point( skol1, skol2 ), skol4 ) }.
% 1.35/1.77 { ! incident_point_and_line( intersection_point( skol3, skol4 ), skol1 ), !
% 19.73/20.12 incident_point_and_line( intersection_point( skol3, skol4 ), skol2 ) }.
% 19.73/20.12
% 19.73/20.12 percentage equality = 0.000000, percentage horn = 0.627451
% 19.73/20.12 This a non-horn, non-equality problem
% 19.73/20.12
% 19.73/20.12
% 19.73/20.12 Options Used:
% 19.73/20.12
% 19.73/20.12 useres = 1
% 19.73/20.12 useparamod = 0
% 19.73/20.12 useeqrefl = 0
% 19.73/20.12 useeqfact = 0
% 19.73/20.12 usefactor = 1
% 19.73/20.12 usesimpsplitting = 0
% 19.73/20.12 usesimpdemod = 0
% 19.73/20.12 usesimpres = 3
% 19.73/20.12
% 19.73/20.12 resimpinuse = 1000
% 19.73/20.12 resimpclauses = 20000
% 19.73/20.12 substype = standard
% 19.73/20.12 backwardsubs = 1
% 19.73/20.12 selectoldest = 5
% 19.73/20.12
% 19.73/20.12 litorderings [0] = split
% 19.73/20.12 litorderings [1] = liftord
% 19.73/20.12
% 19.73/20.12 termordering = none
% 19.73/20.12
% 19.73/20.12 litapriori = 1
% 19.73/20.12 termapriori = 0
% 19.73/20.12 litaposteriori = 0
% 19.73/20.12 termaposteriori = 0
% 19.73/20.12 demodaposteriori = 0
% 19.73/20.12 ordereqreflfact = 0
% 19.73/20.12
% 19.73/20.12 litselect = none
% 19.73/20.12
% 19.73/20.12 maxweight = 15
% 19.73/20.12 maxdepth = 30000
% 19.73/20.12 maxlength = 115
% 19.73/20.12 maxnrvars = 195
% 19.73/20.12 excuselevel = 1
% 19.73/20.12 increasemaxweight = 1
% 19.73/20.12
% 19.73/20.12 maxselected = 10000000
% 19.73/20.12 maxnrclauses = 10000000
% 19.73/20.12
% 19.73/20.12 showgenerated = 0
% 19.73/20.12 showkept = 0
% 19.73/20.12 showselected = 0
% 19.73/20.12 showdeleted = 0
% 19.73/20.12 showresimp = 1
% 19.73/20.12 showstatus = 2000
% 19.73/20.12
% 19.73/20.12 prologoutput = 0
% 19.73/20.12 nrgoals = 5000000
% 19.73/20.12 totalproof = 1
% 19.73/20.12
% 19.73/20.12 Symbols occurring in the translation:
% 19.73/20.12
% 19.73/20.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 19.73/20.12 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 19.73/20.12 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 19.73/20.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 19.73/20.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 19.73/20.12 distinct_points [36, 2] (w:1, o:52, a:1, s:1, b:0),
% 19.73/20.12 distinct_lines [37, 2] (w:1, o:53, a:1, s:1, b:0),
% 19.73/20.12 convergent_lines [38, 2] (w:1, o:51, a:1, s:1, b:0),
% 19.73/20.12 line_connecting [41, 2] (w:1, o:54, a:1, s:1, b:0),
% 19.73/20.12 apart_point_and_line [42, 2] (w:1, o:55, a:1, s:1, b:0),
% 19.73/20.12 intersection_point [43, 2] (w:1, o:56, a:1, s:1, b:0),
% 19.73/20.12 parallel_through_point [46, 2] (w:1, o:59, a:1, s:1, b:0),
% 19.73/20.12 unorthogonal_lines [49, 2] (w:1, o:60, a:1, s:1, b:0),
% 19.73/20.12 orthogonal_through_point [52, 2] (w:1, o:57, a:1, s:1, b:0),
% 19.73/20.12 point [54, 1] (w:1, o:25, a:1, s:1, b:0),
% 19.73/20.12 line [55, 1] (w:1, o:26, a:1, s:1, b:0),
% 19.73/20.12 equal_points [56, 2] (w:1, o:61, a:1, s:1, b:0),
% 19.73/20.12 equal_lines [57, 2] (w:1, o:62, a:1, s:1, b:0),
% 19.73/20.12 parallel_lines [58, 2] (w:1, o:63, a:1, s:1, b:0),
% 19.73/20.12 incident_point_and_line [59, 2] (w:1, o:64, a:1, s:1, b:0),
% 19.73/20.12 orthogonal_lines [60, 2] (w:1, o:58, a:1, s:1, b:0),
% 19.73/20.12 alpha1 [61, 2] (w:1, o:65, a:1, s:1, b:0),
% 19.73/20.12 alpha2 [62, 2] (w:1, o:66, a:1, s:1, b:0),
% 19.73/20.12 skol1 [63, 0] (w:1, o:16, a:1, s:1, b:0),
% 19.73/20.12 skol2 [64, 0] (w:1, o:17, a:1, s:1, b:0),
% 19.73/20.12 skol3 [65, 0] (w:1, o:18, a:1, s:1, b:0),
% 19.73/20.12 skol4 [66, 0] (w:1, o:19, a:1, s:1, b:0).
% 19.73/20.12
% 19.73/20.12
% 19.73/20.12 Starting Search:
% 19.73/20.12
% 19.73/20.12 *** allocated 15000 integers for clauses
% 19.73/20.12 *** allocated 22500 integers for clauses
% 19.73/20.12 *** allocated 33750 integers for clauses
% 19.73/20.12 *** allocated 15000 integers for termspace/termends
% 19.73/20.12 *** allocated 50625 integers for clauses
% 19.73/20.12 Resimplifying inuse:
% 19.73/20.12 Done
% 19.73/20.12
% 19.73/20.12 *** allocated 22500 integers for termspace/termends
% 19.73/20.12 *** allocated 75937 integers for clauses
% 19.73/20.12 *** allocated 33750 integers for termspace/termends
% 19.73/20.12 *** allocated 113905 integers for clauses
% 19.73/20.12
% 19.73/20.12 Intermediate Status:
% 19.73/20.12 Generated: 11857
% 19.73/20.12 Kept: 2011
% 19.73/20.12 Inuse: 307
% 19.73/20.12 Deleted: 2
% 19.73/20.12 Deletedinuse: 1
% 19.73/20.12
% 19.73/20.12 Resimplifying inuse:
% 19.73/20.12 Done
% 19.73/20.12
% 19.73/20.12 *** allocated 50625 integers for termspace/termends
% 19.73/20.12 *** allocated 170857 integers for clauses
% 19.73/20.12 Resimplifying inuse:
% 19.73/20.12 Done
% 19.73/20.12
% 19.73/20.12 *** allocated 75937 integers for termspace/termends
% 19.73/20.12
% 19.73/20.12 Intermediate Status:
% 19.73/20.12 Generated: 24518
% 19.73/20.12 Kept: 4215
% 19.73/20.12 Inuse: 533
% 19.73/20.12 Deleted: 5
% 19.73/20.12 Deletedinuse: 2
% 19.73/20.12
% 19.73/20.12 Resimplifying inuse:
% 19.73/20.12 Done
% 19.73/20.12
% 19.73/20.12 *** allocated 256285 integers for clauses
% 19.73/20.12 Resimplifying inuse:
% 19.73/20.12 Done
% 19.73/20.12
% 19.73/20.12 *** allocated 113905 integers for termspace/termends
% 19.73/20.12
% 19.73/20.12 Intermediate Status:
% 19.73/20.12 Generated: 34350
% 19.73/20.12 Kept: 6246
% 19.73/20.12 Inuse: 653
% 19.73/20.12 Deleted: 6
% 19.73/20.12 Deletedinuse: 2
% 19.73/20.12
% 19.73/20.12 Resimplifying inuse:
% 19.73/20.12 Done
% 19.73/20.12
% 19.73/20.12 *** allocated 384427 integers for clauses
% 19.73/20.12 Resimplifying inuse:
% 19.73/20.12 Done
% 19.73/20.12
% 19.73/20.12
% 19.73/20.12 Intermediate Status:
% 19.73/20.12 Generated: 48497
% 19.73/20.12 Kept: 8265
% 19.73/20.12 Inuse: 829
% 19.73/20.12 Deleted: 6
% 19.73/20.12 Deletedinuse: 2
% 19.73/20.12
% 19.73/20.12 Resimplifying inuse:
% 19.73/20.12 Done
% 19.73/20.12
% 19.73/20.12 *** allocated 170857 integers for termspace/termends
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 63059
% 244.46/244.82 Kept: 10272
% 244.46/244.82 Inuse: 1009
% 244.46/244.82 Deleted: 6
% 244.46/244.82 Deletedinuse: 2
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 *** allocated 576640 integers for clauses
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 74173
% 244.46/244.82 Kept: 12284
% 244.46/244.82 Inuse: 1163
% 244.46/244.82 Deleted: 6
% 244.46/244.82 Deletedinuse: 2
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 *** allocated 256285 integers for termspace/termends
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 85600
% 244.46/244.82 Kept: 14398
% 244.46/244.82 Inuse: 1237
% 244.46/244.82 Deleted: 6
% 244.46/244.82 Deletedinuse: 2
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 *** allocated 864960 integers for clauses
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 98562
% 244.46/244.82 Kept: 17137
% 244.46/244.82 Inuse: 1257
% 244.46/244.82 Deleted: 6
% 244.46/244.82 Deletedinuse: 2
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 *** allocated 384427 integers for termspace/termends
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 115993
% 244.46/244.82 Kept: 19152
% 244.46/244.82 Inuse: 1299
% 244.46/244.82 Deleted: 6
% 244.46/244.82 Deletedinuse: 2
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying clauses:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 133539
% 244.46/244.82 Kept: 21215
% 244.46/244.82 Inuse: 1412
% 244.46/244.82 Deleted: 29
% 244.46/244.82 Deletedinuse: 2
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 158428
% 244.46/244.82 Kept: 23240
% 244.46/244.82 Inuse: 1498
% 244.46/244.82 Deleted: 29
% 244.46/244.82 Deletedinuse: 2
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 182448
% 244.46/244.82 Kept: 25244
% 244.46/244.82 Inuse: 1688
% 244.46/244.82 Deleted: 29
% 244.46/244.82 Deletedinuse: 2
% 244.46/244.82
% 244.46/244.82 *** allocated 1297440 integers for clauses
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 191475
% 244.46/244.82 Kept: 27342
% 244.46/244.82 Inuse: 1755
% 244.46/244.82 Deleted: 29
% 244.46/244.82 Deletedinuse: 2
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 *** allocated 576640 integers for termspace/termends
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 205935
% 244.46/244.82 Kept: 29354
% 244.46/244.82 Inuse: 1855
% 244.46/244.82 Deleted: 29
% 244.46/244.82 Deletedinuse: 2
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 218726
% 244.46/244.82 Kept: 31412
% 244.46/244.82 Inuse: 1918
% 244.46/244.82 Deleted: 29
% 244.46/244.82 Deletedinuse: 2
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 263529
% 244.46/244.82 Kept: 33416
% 244.46/244.82 Inuse: 2072
% 244.46/244.82 Deleted: 29
% 244.46/244.82 Deletedinuse: 2
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 297711
% 244.46/244.82 Kept: 35435
% 244.46/244.82 Inuse: 2194
% 244.46/244.82 Deleted: 241
% 244.46/244.82 Deletedinuse: 214
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 *** allocated 1946160 integers for clauses
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 327690
% 244.46/244.82 Kept: 37436
% 244.46/244.82 Inuse: 2316
% 244.46/244.82 Deleted: 456
% 244.46/244.82 Deletedinuse: 426
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 387787
% 244.46/244.82 Kept: 39436
% 244.46/244.82 Inuse: 2479
% 244.46/244.82 Deleted: 460
% 244.46/244.82 Deletedinuse: 426
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying clauses:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 *** allocated 864960 integers for termspace/termends
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 408986
% 244.46/244.82 Kept: 42245
% 244.46/244.82 Inuse: 2530
% 244.46/244.82 Deleted: 7178
% 244.46/244.82 Deletedinuse: 426
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 445792
% 244.46/244.82 Kept: 44899
% 244.46/244.82 Inuse: 2585
% 244.46/244.82 Deleted: 7178
% 244.46/244.82 Deletedinuse: 426
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 486299
% 244.46/244.82 Kept: 47180
% 244.46/244.82 Inuse: 2640
% 244.46/244.82 Deleted: 7178
% 244.46/244.82 Deletedinuse: 426
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 588789
% 244.46/244.82 Kept: 50067
% 244.46/244.82 Inuse: 2835
% 244.46/244.82 Deleted: 7178
% 244.46/244.82 Deletedinuse: 426
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 623814
% 244.46/244.82 Kept: 52794
% 244.46/244.82 Inuse: 2895
% 244.46/244.82 Deleted: 7178
% 244.46/244.82 Deletedinuse: 426
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 *** allocated 2919240 integers for clauses
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 649521
% 244.46/244.82 Kept: 54804
% 244.46/244.82 Inuse: 2944
% 244.46/244.82 Deleted: 7178
% 244.46/244.82 Deletedinuse: 426
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 699079
% 244.46/244.82 Kept: 57319
% 244.46/244.82 Inuse: 3020
% 244.46/244.82 Deleted: 7178
% 244.46/244.82 Deletedinuse: 426
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 740129
% 244.46/244.82 Kept: 59324
% 244.46/244.82 Inuse: 3186
% 244.46/244.82 Deleted: 7178
% 244.46/244.82 Deletedinuse: 426
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 *** allocated 1297440 integers for termspace/termends
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying clauses:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 801112
% 244.46/244.82 Kept: 61774
% 244.46/244.82 Inuse: 3401
% 244.46/244.82 Deleted: 7178
% 244.46/244.82 Deletedinuse: 426
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 999677
% 244.46/244.82 Kept: 63800
% 244.46/244.82 Inuse: 3844
% 244.46/244.82 Deleted: 7178
% 244.46/244.82 Deletedinuse: 426
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 1720125
% 244.46/244.82 Kept: 65800
% 244.46/244.82 Inuse: 5444
% 244.46/244.82 Deleted: 7178
% 244.46/244.82 Deletedinuse: 426
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 2895332
% 244.46/244.82 Kept: 67804
% 244.46/244.82 Inuse: 8328
% 244.46/244.82 Deleted: 7178
% 244.46/244.82 Deletedinuse: 426
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 3184613
% 244.46/244.82 Kept: 69886
% 244.46/244.82 Inuse: 9182
% 244.46/244.82 Deleted: 7777
% 244.46/244.82 Deletedinuse: 1025
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 3213349
% 244.46/244.82 Kept: 71913
% 244.46/244.82 Inuse: 9281
% 244.46/244.82 Deleted: 7779
% 244.46/244.82 Deletedinuse: 1025
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 3252003
% 244.46/244.82 Kept: 73948
% 244.46/244.82 Inuse: 9393
% 244.46/244.82 Deleted: 8496
% 244.46/244.82 Deletedinuse: 1738
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 3312397
% 244.46/244.82 Kept: 75974
% 244.46/244.82 Inuse: 9494
% 244.46/244.82 Deleted: 8497
% 244.46/244.82 Deletedinuse: 1738
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 3636184
% 244.46/244.82 Kept: 77974
% 244.46/244.82 Inuse: 10059
% 244.46/244.82 Deleted: 8515
% 244.46/244.82 Deletedinuse: 1738
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 *** allocated 4378860 integers for clauses
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Intermediate Status:
% 244.46/244.82 Generated: 4279014
% 244.46/244.82 Kept: 80033
% 244.46/244.82 Inuse: 11067
% 244.46/244.82 Deleted: 8649
% 244.46/244.82 Deletedinuse: 1738
% 244.46/244.82
% 244.46/244.82 Resimplifying inuse:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82 Resimplifying clauses:
% 244.46/244.82 Done
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Bliksems!, er is een bewijs:
% 244.46/244.82 % SZS status Theorem
% 244.46/244.82 % SZS output start Refutation
% 244.46/244.82
% 244.46/244.82 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 244.46/244.82 (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 244.46/244.82 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 244.46/244.82 , ! distinct_lines( X, Y ) }.
% 244.46/244.82 (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), convergent_lines( Y,
% 244.46/244.82 Z ), ! convergent_lines( X, Y ) }.
% 244.46/244.82 (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ), apart_point_and_line(
% 244.46/244.82 X, Z ), ! apart_point_and_line( X, Y ) }.
% 244.46/244.82 (14) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), ! distinct_lines( X
% 244.46/244.82 , Y ) }.
% 244.46/244.82 (15) {G0,W5,D3,L1,V2,M1} I { ! convergent_lines( parallel_through_point( Y
% 244.46/244.82 , X ), Y ) }.
% 244.46/244.82 (16) {G0,W5,D3,L1,V2,M1} I { ! apart_point_and_line( X,
% 244.46/244.82 parallel_through_point( Y, X ) ) }.
% 244.46/244.82 (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), unorthogonal_lines(
% 244.46/244.82 X, Y ) }.
% 244.46/244.82 (19) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 244.46/244.82 unorthogonal_lines( X, Y ), unorthogonal_lines( Y, Z ), alpha1( X, Z )
% 244.46/244.82 }.
% 244.46/244.82 (20) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), ! alpha1( X, Y ) }.
% 244.46/244.82 (21) {G0,W6,D2,L2,V2,M1} I { unorthogonal_lines( X, Y ), ! alpha1( X, Y )
% 244.46/244.82 }.
% 244.46/244.82 (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines( orthogonal_through_point
% 244.46/244.82 ( Y, X ), Y ) }.
% 244.46/244.82 (31) {G0,W9,D2,L3,V3,M2} I { ! convergent_lines( X, Y ), unorthogonal_lines
% 244.46/244.82 ( Z, X ), unorthogonal_lines( Z, Y ) }.
% 244.46/244.82 (43) {G0,W6,D2,L2,V2,M1} I { apart_point_and_line( X, Y ),
% 244.46/244.82 incident_point_and_line( X, Y ) }.
% 244.46/244.82 (50) {G0,W10,D3,L2,V0,M1} I { ! incident_point_and_line( intersection_point
% 244.46/244.82 ( skol3, skol4 ), skol1 ), ! incident_point_and_line( intersection_point
% 244.46/244.82 ( skol3, skol4 ), skol2 ) }.
% 244.46/244.82 (56) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 244.46/244.82 ( X, Y ) }.
% 244.46/244.82 (63) {G1,W8,D3,L2,V3,M2} R(5,15) { ! convergent_lines(
% 244.46/244.82 parallel_through_point( Y, Z ), X ), convergent_lines( X, Y ) }.
% 244.46/244.82 (67) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 244.46/244.82 convergent_lines( X, Y ) }.
% 244.46/244.82 (70) {G2,W5,D3,L1,V2,M1} R(67,15) { ! convergent_lines( X,
% 244.46/244.82 parallel_through_point( X, Y ) ) }.
% 244.46/244.82 (73) {G3,W8,D3,L2,V3,M2} R(70,5) { ! convergent_lines( Y, X ),
% 244.46/244.82 convergent_lines( X, parallel_through_point( Y, Z ) ) }.
% 244.46/244.82 (74) {G3,W8,D3,L2,V3,M2} R(70,5) { ! convergent_lines( X, Y ),
% 244.46/244.82 convergent_lines( X, parallel_through_point( Y, Z ) ) }.
% 244.46/244.82 (105) {G1,W5,D3,L1,V2,M1} R(17,23) { convergent_lines(
% 244.46/244.82 orthogonal_through_point( X, Y ), X ) }.
% 244.46/244.82 (107) {G2,W8,D3,L2,V3,M2} R(105,5) { convergent_lines( X, Z ),
% 244.46/244.82 convergent_lines( orthogonal_through_point( X, Y ), Z ) }.
% 244.46/244.82 (121) {G2,W6,D2,L2,V2,M1} R(14,56) { convergent_lines( X, Y ), !
% 244.46/244.82 distinct_lines( Y, X ) }.
% 244.46/244.82 (129) {G1,W12,D2,L4,V4,M2} R(12,12) { distinct_lines( X, Y ),
% 244.46/244.82 distinct_lines( Y, T ), apart_point_and_line( Z, T ), !
% 244.46/244.82 apart_point_and_line( Z, X ) }.
% 244.46/244.82 (141) {G1,W8,D3,L2,V3,M1} R(12,16) { distinct_lines( X,
% 244.46/244.82 parallel_through_point( Y, Z ) ), ! apart_point_and_line( Z, X ) }.
% 244.46/244.82 (166) {G1,W12,D2,L4,V3,M2} R(19,20) { ! convergent_lines( X, Y ),
% 244.46/244.82 convergent_lines( X, Z ), ! unorthogonal_lines( X, Y ),
% 244.46/244.82 unorthogonal_lines( Y, Z ) }.
% 244.46/244.82 (167) {G1,W12,D2,L4,V3,M3} R(19,21) { ! convergent_lines( X, Y ),
% 244.46/244.82 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ), !
% 244.46/244.82 unorthogonal_lines( X, Y ) }.
% 244.46/244.82 (179) {G3,W8,D3,L2,V3,M2} R(107,67) { convergent_lines( Z, X ),
% 244.46/244.82 convergent_lines( orthogonal_through_point( X, Y ), Z ) }.
% 244.46/244.82 (196) {G4,W8,D3,L2,V3,M2} R(179,67) { convergent_lines( X,
% 244.46/244.82 orthogonal_through_point( Y, Z ) ), convergent_lines( X, Y ) }.
% 244.46/244.82 (263) {G1,W8,D3,L2,V3,M1} R(31,23) { ! convergent_lines( X, Y ),
% 244.46/244.82 unorthogonal_lines( orthogonal_through_point( Y, Z ), X ) }.
% 244.46/244.82 (363) {G4,W10,D3,L2,V4,M2} R(63,74) { ! convergent_lines(
% 244.46/244.82 parallel_through_point( Z, T ), X ), convergent_lines(
% 244.46/244.82 parallel_through_point( X, Y ), Z ) }.
% 244.46/244.82 (368) {G4,W10,D3,L2,V4,M2} R(63,73) { ! convergent_lines( X,
% 244.46/244.82 parallel_through_point( Z, T ) ), convergent_lines(
% 244.46/244.82 parallel_through_point( X, Y ), Z ) }.
% 244.46/244.82 (372) {G2,W8,D3,L2,V3,M2} R(63,67) { convergent_lines( X, Z ), !
% 244.46/244.82 convergent_lines( parallel_through_point( X, Y ), Z ) }.
% 244.46/244.82 (390) {G3,W8,D3,L2,V3,M2} R(372,67) { ! convergent_lines( Y,
% 244.46/244.82 parallel_through_point( X, Z ) ), convergent_lines( X, Y ) }.
% 244.46/244.82 (398) {G1,W10,D3,L2,V0,M1} R(50,43) { apart_point_and_line(
% 244.46/244.82 intersection_point( skol3, skol4 ), skol2 ), ! incident_point_and_line(
% 244.46/244.82 intersection_point( skol3, skol4 ), skol1 ) }.
% 244.46/244.82 (2256) {G2,W14,D3,L4,V5,M1} R(129,141) { distinct_lines( X, Y ),
% 244.46/244.82 distinct_lines( Y, Z ), distinct_lines( Z, parallel_through_point( U, T )
% 244.46/244.82 ), ! apart_point_and_line( T, X ) }.
% 244.46/244.82 (2264) {G3,W8,D3,L2,V3,M1} F(2256);r(56) { distinct_lines(
% 244.46/244.82 parallel_through_point( Y, Z ), X ), ! apart_point_and_line( Z, X ) }.
% 244.46/244.82 (2335) {G2,W10,D3,L2,V0,M1} R(398,43) { apart_point_and_line(
% 244.46/244.82 intersection_point( skol3, skol4 ), skol1 ), apart_point_and_line(
% 244.46/244.82 intersection_point( skol3, skol4 ), skol2 ) }.
% 244.46/244.82 (2343) {G3,W12,D4,L2,V1,M1} R(2335,141) { distinct_lines( skol2,
% 244.46/244.82 parallel_through_point( X, intersection_point( skol3, skol4 ) ) ),
% 244.46/244.82 apart_point_and_line( intersection_point( skol3, skol4 ), skol1 ) }.
% 244.46/244.82 (2931) {G5,W8,D3,L2,V3,M1} R(166,23);r(196) { convergent_lines( X, Y ), !
% 244.46/244.82 unorthogonal_lines( X, orthogonal_through_point( Y, Z ) ) }.
% 244.46/244.82 (2955) {G2,W15,D2,L5,V4,M3} R(167,31) { ! convergent_lines( X, Y ), !
% 244.46/244.82 convergent_lines( Y, T ), unorthogonal_lines( Y, Z ), unorthogonal_lines
% 244.46/244.82 ( X, T ), unorthogonal_lines( X, Z ) }.
% 244.46/244.82 (2966) {G3,W9,D2,L3,V3,M2} F(2955);r(17) { ! convergent_lines( X, Y ),
% 244.46/244.82 unorthogonal_lines( X, Z ), unorthogonal_lines( Y, Z ) }.
% 244.46/244.82 (3201) {G6,W10,D3,L2,V4,M2} R(2931,263) { ! convergent_lines(
% 244.46/244.82 orthogonal_through_point( Z, T ), X ), convergent_lines(
% 244.46/244.82 orthogonal_through_point( X, Y ), Z ) }.
% 244.46/244.82 (4308) {G4,W8,D3,L2,V3,M1} R(2966,23) { ! convergent_lines(
% 244.46/244.82 orthogonal_through_point( X, Y ), Z ), unorthogonal_lines( Z, X ) }.
% 244.46/244.82 (4316) {G5,W7,D3,L1,V3,M1} R(4308,23) { ! convergent_lines(
% 244.46/244.82 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ) }.
% 244.46/244.82 (25770) {G7,W7,D4,L1,V3,M1} R(3201,4316) { ! convergent_lines(
% 244.46/244.82 orthogonal_through_point( orthogonal_through_point( X, Y ), Z ), X ) }.
% 244.46/244.82 (26099) {G8,W9,D5,L1,V4,M1} R(25770,390) { ! convergent_lines( X,
% 244.46/244.82 parallel_through_point( orthogonal_through_point(
% 244.46/244.82 orthogonal_through_point( X, Y ), Z ), T ) ) }.
% 244.46/244.82 (26859) {G9,W13,D7,L1,V6,M1} R(26099,368) { ! convergent_lines( X,
% 244.46/244.82 parallel_through_point( parallel_through_point( orthogonal_through_point
% 244.46/244.82 ( orthogonal_through_point( parallel_through_point( X, Y ), Z ), T ), U )
% 244.46/244.82 , W ) ) }.
% 244.46/244.82 (26861) {G9,W13,D7,L1,V6,M1} R(26099,363) { ! convergent_lines(
% 244.46/244.82 parallel_through_point( parallel_through_point( orthogonal_through_point
% 244.46/244.82 ( orthogonal_through_point( parallel_through_point( X, Y ), Z ), T ), U )
% 244.46/244.82 , W ), X ) }.
% 244.46/244.82 (70080) {G4,W14,D4,L2,V2,M1} R(2343,2264) { distinct_lines(
% 244.46/244.82 parallel_through_point( Y, intersection_point( skol3, skol4 ) ), skol1 )
% 244.46/244.82 , distinct_lines( skol2, parallel_through_point( X, intersection_point(
% 244.46/244.82 skol3, skol4 ) ) ) }.
% 244.46/244.82 (81547) {G5,W14,D4,L2,V2,M1} R(70080,121) { convergent_lines(
% 244.46/244.82 parallel_through_point( Y, intersection_point( skol3, skol4 ) ), skol2 )
% 244.46/244.82 , distinct_lines( parallel_through_point( X, intersection_point( skol3,
% 244.46/244.82 skol4 ) ), skol1 ) }.
% 244.46/244.82 (81549) {G6,W14,D4,L2,V2,M1} R(81547,121) { convergent_lines(
% 244.46/244.82 parallel_through_point( X, intersection_point( skol3, skol4 ) ), skol2 )
% 244.46/244.82 , convergent_lines( skol1, parallel_through_point( Y, intersection_point
% 244.46/244.82 ( skol3, skol4 ) ) ) }.
% 244.46/244.82 (81572) {G10,W7,D4,L1,V1,M1} R(81549,26859) { convergent_lines(
% 244.46/244.82 parallel_through_point( X, intersection_point( skol3, skol4 ) ), skol2 )
% 244.46/244.82 }.
% 244.46/244.82 (81615) {G11,W0,D0,L0,V0,M0} R(81572,26861) { }.
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 % SZS output end Refutation
% 244.46/244.82 found a proof!
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Unprocessed initial clauses:
% 244.46/244.82
% 244.46/244.82 (81617) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 244.46/244.82 (81618) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 244.46/244.82 (81619) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 244.46/244.82 (81620) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points(
% 244.46/244.82 X, Z ), distinct_points( Y, Z ) }.
% 244.46/244.82 (81621) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X
% 244.46/244.82 , Z ), distinct_lines( Y, Z ) }.
% 244.46/244.82 (81622) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 244.46/244.82 ( X, Z ), convergent_lines( Y, Z ) }.
% 244.46/244.82 (81623) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 244.46/244.82 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 244.46/244.82 (81624) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 244.46/244.82 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 244.46/244.82 (81625) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 244.46/244.82 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 244.46/244.82 (81626) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 244.46/244.82 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 244.46/244.82 (81627) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 244.46/244.82 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 244.46/244.82 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 244.46/244.82 (81628) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 244.46/244.82 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 244.46/244.82 (81629) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 244.46/244.82 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 244.46/244.82 (81630) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines(
% 244.46/244.82 Y, Z ), convergent_lines( X, Z ) }.
% 244.46/244.82 (81631) {G0,W6,D2,L2,V2,M2} { ! distinct_lines( X, Y ), convergent_lines(
% 244.46/244.82 X, Y ) }.
% 244.46/244.82 (81632) {G0,W5,D3,L1,V2,M1} { ! convergent_lines( parallel_through_point(
% 244.46/244.82 Y, X ), Y ) }.
% 244.46/244.82 (81633) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 244.46/244.82 parallel_through_point( Y, X ) ) }.
% 244.46/244.82 (81634) {G0,W12,D2,L4,V3,M4} { ! distinct_lines( X, Y ),
% 244.46/244.82 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 244.46/244.82 convergent_lines( X, Y ) }.
% 244.46/244.82 (81635) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), unorthogonal_lines
% 244.46/244.82 ( X, Y ) }.
% 244.46/244.82 (81636) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 244.46/244.82 unorthogonal_lines( X, Y ), alpha1( X, Z ), convergent_lines( Y, Z ) }.
% 244.46/244.82 (81637) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 244.46/244.82 unorthogonal_lines( X, Y ), alpha1( X, Z ), unorthogonal_lines( Y, Z )
% 244.46/244.82 }.
% 244.46/244.82 (81638) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), convergent_lines( X, Y )
% 244.46/244.82 }.
% 244.46/244.82 (81639) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), unorthogonal_lines( X, Y )
% 244.46/244.82 }.
% 244.46/244.82 (81640) {G0,W9,D2,L3,V2,M3} { ! convergent_lines( X, Y ), !
% 244.46/244.82 unorthogonal_lines( X, Y ), alpha1( X, Y ) }.
% 244.46/244.82 (81641) {G0,W5,D3,L1,V2,M1} { ! unorthogonal_lines(
% 244.46/244.82 orthogonal_through_point( Y, X ), Y ) }.
% 244.46/244.82 (81642) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 244.46/244.82 orthogonal_through_point( Y, X ) ) }.
% 244.46/244.82 (81643) {G0,W15,D2,L5,V4,M5} { ! distinct_lines( X, Y ),
% 244.46/244.82 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 244.46/244.82 unorthogonal_lines( X, T ), unorthogonal_lines( Y, T ) }.
% 244.46/244.82 (81644) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), unorthogonal_lines
% 244.46/244.82 ( X, Y ) }.
% 244.46/244.82 (81645) {G0,W12,D2,L4,V3,M4} { alpha2( X, Z ), convergent_lines( Z, Y ), !
% 244.46/244.82 convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ) }.
% 244.46/244.82 (81646) {G0,W12,D2,L4,V3,M4} { alpha2( X, Z ), unorthogonal_lines( Z, Y )
% 244.46/244.82 , ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ) }.
% 244.46/244.82 (81647) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), convergent_lines( Y, X )
% 244.46/244.82 }.
% 244.46/244.82 (81648) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), unorthogonal_lines( Y, X )
% 244.46/244.82 }.
% 244.46/244.82 (81649) {G0,W9,D2,L3,V2,M3} { ! convergent_lines( Y, X ), !
% 244.46/244.82 unorthogonal_lines( Y, X ), alpha2( X, Y ) }.
% 244.46/244.82 (81650) {G0,W9,D2,L3,V3,M3} { unorthogonal_lines( Z, X ),
% 244.46/244.82 unorthogonal_lines( Z, Y ), ! convergent_lines( X, Y ) }.
% 244.46/244.82 (81651) {G0,W11,D3,L4,V2,M4} { ! point( X ), ! point( Y ), !
% 244.46/244.82 distinct_points( X, Y ), line( line_connecting( X, Y ) ) }.
% 244.46/244.82 (81652) {G0,W11,D3,L4,V2,M4} { ! line( X ), ! line( Y ), !
% 244.46/244.82 convergent_lines( X, Y ), point( intersection_point( X, Y ) ) }.
% 244.46/244.82 (81653) {G0,W8,D3,L3,V2,M3} { ! line( X ), ! point( Y ), line(
% 244.46/244.82 parallel_through_point( X, Y ) ) }.
% 244.46/244.82 (81654) {G0,W8,D3,L3,V2,M3} { ! line( X ), ! point( Y ), line(
% 244.46/244.82 orthogonal_through_point( X, Y ) ) }.
% 244.46/244.82 (81655) {G0,W6,D2,L2,V2,M2} { ! equal_points( X, Y ), ! distinct_points( X
% 244.46/244.82 , Y ) }.
% 244.46/244.82 (81656) {G0,W6,D2,L2,V2,M2} { distinct_points( X, Y ), equal_points( X, Y
% 244.46/244.82 ) }.
% 244.46/244.82 (81657) {G0,W6,D2,L2,V2,M2} { ! equal_lines( X, Y ), ! distinct_lines( X,
% 244.46/244.82 Y ) }.
% 244.46/244.82 (81658) {G0,W6,D2,L2,V2,M2} { distinct_lines( X, Y ), equal_lines( X, Y )
% 244.46/244.82 }.
% 244.46/244.82 (81659) {G0,W6,D2,L2,V2,M2} { ! parallel_lines( X, Y ), ! convergent_lines
% 244.46/244.82 ( X, Y ) }.
% 244.46/244.82 (81660) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), parallel_lines( X
% 244.46/244.82 , Y ) }.
% 244.46/244.82 (81661) {G0,W6,D2,L2,V2,M2} { ! incident_point_and_line( X, Y ), !
% 244.46/244.82 apart_point_and_line( X, Y ) }.
% 244.46/244.82 (81662) {G0,W6,D2,L2,V2,M2} { apart_point_and_line( X, Y ),
% 244.46/244.82 incident_point_and_line( X, Y ) }.
% 244.46/244.82 (81663) {G0,W6,D2,L2,V2,M2} { ! orthogonal_lines( X, Y ), !
% 244.46/244.82 unorthogonal_lines( X, Y ) }.
% 244.46/244.82 (81664) {G0,W6,D2,L2,V2,M2} { unorthogonal_lines( X, Y ), orthogonal_lines
% 244.46/244.82 ( X, Y ) }.
% 244.46/244.82 (81665) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 244.46/244.82 (81666) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol4 ) }.
% 244.46/244.82 (81667) {G0,W5,D3,L1,V0,M1} { incident_point_and_line( intersection_point
% 244.46/244.82 ( skol1, skol2 ), skol3 ) }.
% 244.46/244.82 (81668) {G0,W5,D3,L1,V0,M1} { incident_point_and_line( intersection_point
% 244.46/244.82 ( skol1, skol2 ), skol4 ) }.
% 244.46/244.82 (81669) {G0,W10,D3,L2,V0,M2} { ! incident_point_and_line(
% 244.46/244.82 intersection_point( skol3, skol4 ), skol1 ), ! incident_point_and_line(
% 244.46/244.82 intersection_point( skol3, skol4 ), skol2 ) }.
% 244.46/244.82
% 244.46/244.82
% 244.46/244.82 Total Proof:
% 244.46/244.82
% 244.46/244.82 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 244.46/244.82 parent0: (81618) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 244.46/244.82 substitution0:
% 244.46/244.82 X := X
% 244.46/244.82 end
% 244.46/244.82 permutation0:
% 244.46/244.82 0 ==> 0
% 244.46/244.82 end
% 244.46/244.82
% 244.46/244.82 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 244.46/244.82 parent0: (81619) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 244.46/244.82 substitution0:
% 244.46/244.82 X := X
% 244.46/244.82 end
% 244.46/244.82 permutation0:
% 244.46/244.82 0 ==> 0
% 244.46/244.82 end
% 244.46/244.82
% 244.46/244.82 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 244.46/244.82 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 244.46/244.82 parent0: (81621) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 244.46/244.82 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 244.46/244.82 substitution0:
% 244.46/244.82 X := X
% 244.46/244.82 Y := Y
% 244.46/244.82 Z := Z
% 244.46/244.82 end
% 244.46/244.82 permutation0:
% 244.46/244.82 0 ==> 2
% 244.46/244.82 1 ==> 0
% 244.46/244.82 2 ==> 1
% 244.46/244.82 end
% 244.46/244.82
% 244.46/244.82 subsumption: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 244.46/244.82 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 244.46/244.82 parent0: (81622) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 244.46/244.82 convergent_lines( X, Z ), convergent_lines( Y, Z ) }.
% 244.46/244.82 substitution0:
% 244.46/244.82 X := X
% 244.46/244.82 Y := Y
% 244.46/244.82 Z := Z
% 244.46/244.82 end
% 244.46/244.82 permutation0:
% 244.46/244.82 0 ==> 2
% 244.46/244.82 1 ==> 0
% 244.46/244.82 2 ==> 1
% 244.46/244.82 end
% 244.46/244.82
% 244.46/244.82 subsumption: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 244.46/244.82 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 244.46/244.82 parent0: (81629) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 244.46/244.82 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 244.46/244.82 substitution0:
% 244.46/244.82 X := X
% 244.46/244.82 Y := Y
% 244.46/244.82 Z := Z
% 244.46/244.82 end
% 244.46/244.82 permutation0:
% 244.46/244.82 0 ==> 2
% 244.46/244.82 1 ==> 0
% 244.46/244.82 2 ==> 1
% 244.46/244.82 end
% 244.46/244.82
% 244.46/244.82 subsumption: (14) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), !
% 244.46/244.82 distinct_lines( X, Y ) }.
% 244.46/244.82 parent0: (81631) {G0,W6,D2,L2,V2,M2} { ! distinct_lines( X, Y ),
% 244.46/244.82 convergent_lines( X, Y ) }.
% 244.46/244.82 substitution0:
% 244.46/244.82 X := X
% 244.46/244.82 Y := Y
% 244.46/244.82 end
% 244.46/244.82 permutation0:
% 244.46/244.82 0 ==> 1
% 244.46/244.82 1 ==> 0
% 244.46/244.82 end
% 244.46/244.82
% 244.46/244.82 subsumption: (15) {G0,W5,D3,L1,V2,M1} I { ! convergent_lines(
% 244.46/244.82 parallel_through_point( Y, X ), Y ) }.
% 244.46/244.82 parent0: (81632) {G0,W5,D3,L1,V2,M1} { ! convergent_lines(
% 244.46/244.82 parallel_through_point( Y, X ), Y ) }.
% 244.46/244.82 substitution0:
% 244.46/244.82 X := X
% 244.46/244.82 Y := Y
% 244.46/244.82 end
% 244.46/244.82 permutation0:
% 244.46/244.82 0 ==> 0
% 244.46/244.82 end
% 244.46/244.82
% 244.46/244.82 subsumption: (16) {G0,W5,D3,L1,V2,M1} I { ! apart_point_and_line( X,
% 244.46/244.82 parallel_through_point( Y, X ) ) }.
% 244.46/244.82 parent0: (81633) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 244.46/244.82 parallel_through_point( Y, X ) ) }.
% 244.46/244.82 substitution0:
% 244.46/244.82 X := X
% 244.46/244.82 Y := Y
% 244.46/244.82 end
% 244.46/244.82 permutation0:
% 244.46/244.82 0 ==> 0
% 244.46/244.82 end
% 244.46/244.82
% 244.46/244.82 subsumption: (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ),
% 244.46/244.82 unorthogonal_lines( X, Y ) }.
% 244.46/244.82 parent0: (81635) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ),
% 244.46/244.82 unorthogonal_lines( X, Y ) }.
% 244.46/244.82 substitution0:
% 244.46/244.82 X := X
% 244.46/244.82 Y := Y
% 244.46/244.82 end
% 244.46/244.82 permutation0:
% 244.46/244.82 0 ==> 0
% 244.46/244.82 1 ==> 1
% 244.46/244.82 end
% 244.46/244.82
% 244.46/244.82 subsumption: (19) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 244.46/244.82 unorthogonal_lines( X, Y ), unorthogonal_lines( Y, Z ), alpha1( X, Z )
% 244.46/244.82 }.
% 244.46/244.82 parent0: (81637) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 244.46/244.82 unorthogonal_lines( X, Y ), alpha1( X, Z ), unorthogonal_lines( Y, Z )
% 244.46/244.82 }.
% 244.46/244.82 substitution0:
% 244.46/244.82 X := X
% 244.46/244.82 Y := Y
% 244.46/244.82 Z := Z
% 244.46/244.82 end
% 244.46/244.82 permutation0:
% 244.46/244.82 0 ==> 0
% 244.46/244.82 1 ==> 1
% 244.46/244.82 2 ==> 3
% 244.46/244.82 3 ==> 2
% 244.46/244.82 end
% 244.46/244.82
% 244.46/244.82 subsumption: (20) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), !
% 244.46/244.82 alpha1( X, Y ) }.
% 244.46/244.82 parent0: (81638) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), convergent_lines
% 244.46/244.82 ( X, Y ) }.
% 244.46/244.82 substitution0:
% 244.46/244.82 X := X
% 244.46/244.82 Y := Y
% 244.46/244.82 end
% 244.46/244.82 permutation0:
% 244.46/244.82 0 ==> 1
% 244.46/244.82 1 ==> 0
% 244.46/244.82 end
% 244.46/244.82
% 244.46/244.82 subsumption: (21) {G0,W6,D2,L2,V2,M1} I { unorthogonal_lines( X, Y ), !
% 244.46/244.82 alpha1( X, Y ) }.
% 244.46/244.82 parent0: (81639) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ),
% 244.46/244.82 unorthogonal_lines( X, Y ) }.
% 244.46/244.82 substitution0:
% 244.46/244.82 X := X
% 244.46/244.82 Y := Y
% 244.46/244.82 end
% 244.46/244.82 permutation0:
% 244.46/244.82 0 ==> 1
% 244.46/244.82 1 ==> 0
% 244.46/244.82 end
% 244.46/244.82
% 244.46/244.82 subsumption: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 244.46/244.82 orthogonal_through_point( Y, X ), Y ) }.
% 244.46/244.82 parent0: (81641) {G0,W5,D3,L1,V2,M1} { ! unorthogonal_lines(
% 244.46/244.82 orthogonal_through_point( Y, X ), Y ) }.
% 244.46/244.82 substitution0:
% 244.46/244.82 X := X
% 244.46/244.82 Y := Y
% 244.46/244.82 end
% 244.46/244.82 permutation0:
% 244.46/244.82 0 ==> 0
% 244.46/244.82 end
% 244.46/244.82
% 244.46/244.82 subsumption: (31) {G0,W9,D2,L3,V3,M2} I { ! convergent_lines( X, Y ),
% 244.46/244.82 unorthogonal_lines( Z, X ), unorthogonal_lines( Z, Y ) }.
% 244.46/244.82 parent0: (81650) {G0,W9,D2,L3,V3,M3} { unorthogonal_lines( Z, X ),
% 244.46/244.82 unorthogonal_lines( Z, Y ), ! convergent_lines( X, Y ) }.
% 244.46/244.82 substitution0:
% 244.46/244.82 X := X
% 244.46/244.82 Y := Y
% 244.46/244.82 Z := Z
% 244.46/244.82 end
% 244.46/244.82 permutation0:
% 244.46/244.82 0 ==> 1
% 244.46/244.82 1 ==> 2
% 244.46/244.82 2 ==> 0
% 244.46/244.82 end
% 244.46/244.82
% 244.46/244.82 subsumption: (43) {G0,W6,D2,L2,V2,M1} I { apart_point_and_line( X, Y ),
% 244.46/244.82 incident_point_and_line( X, Y ) }.
% 244.46/244.82 parent0: (81662) {G0,W6,D2,L2,V2,M2} { apart_point_and_line( X, Y ),
% 244.46/244.82 incident_point_and_line( X, Y ) }.
% 244.46/244.82 substitution0:
% 244.46/244.82 X := X
% 244.46/244.82 Y := Y
% 244.46/244.82 end
% 244.46/244.82 permutation0:
% 244.46/244.82 0 ==> 0
% 244.46/244.82 1 ==> 1
% 244.46/244.82 end
% 244.46/244.82
% 244.46/244.82 subsumption: (50) {G0,W10,D3,L2,V0,M1} I { ! incident_point_and_line(
% 244.46/244.82 intersection_point( skol3, skol4 ), skol1 ), ! incident_point_and_line(
% 244.46/244.82 intersection_point( skol3, skol4 ), skol2 ) }.
% 244.46/244.82 parent0: (81669) {G0,W10,D3,L2,V0,M2} { ! incident_point_and_line(
% 244.46/244.82 intersection_point( skol3, skol4 ), skol1 ), ! incident_point_and_line(
% 244.46/244.82 intersection_point( skol3, skol4 ), skol2 ) }.
% 244.46/244.82 substitution0:
% 244.46/244.82 end
% 244.46/244.82 permutation0:
% 244.46/244.82 0 ==> 0
% 244.46/244.82 1 ==> 1
% 244.46/244.82 end
% 244.46/244.82
% 244.46/244.82 resolution: (81804) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 244.46/244.82 distinct_lines( X, Y ) }.
% 244.46/244.82 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 244.46/244.82 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 244.46/244.82 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 244.46/244.82 substitution0:
% 244.46/244.82 X := X
% 244.46/244.82 end
% 244.46/244.82 substitution1:
% 244.46/244.82 X := X
% 244.46/244.82 Y := Y
% 244.46/244.82 Z := X
% 244.46/244.82 end
% 244.46/244.82
% 244.46/244.82 subsumption: (56) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 244.46/244.82 distinct_lines( X, Y ) }.
% 244.46/244.82 parent0: (81804) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 244.46/244.82 distinct_lines( X, Y ) }.
% 244.46/244.82 substitution0:
% 244.46/244.82 X := Y
% 244.46/244.82 Y := X
% 244.46/244.82 end
% 244.46/244.82 permutation0:
% 244.46/244.82 0 ==> 1
% 244.46/244.82 1 ==> 0
% 244.46/244.82 end
% 244.46/244.82
% 244.46/244.82 resolution: (81806) {G1,W8,D3,L2,V3,M2} { convergent_lines( Z, X ), !
% 244.46/244.82 convergent_lines( parallel_through_point( X, Y ), Z ) }.
% 244.46/244.82 parent0[0]: (15) {G0,W5,D3,L1,V2,M1} I { ! convergent_lines(
% 244.46/244.82 parallel_through_point( Y, X ), Y ) }.
% 244.46/244.82 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 244.46/244.82 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 244.46/244.82 substitution0:
% 244.46/244.82 X := Y
% 244.46/244.82 Y := X
% 244.46/244.82 end
% 244.46/244.82 substitution1:
% 244.46/244.82 X := parallel_through_point( X, Y )
% 244.46/244.82 Y := Z
% 244.46/244.82 Z := X
% 244.46/244.82 end
% 244.46/244.82
% 244.46/244.82 subsumption: (63) {G1,W8,D3,L2,V3,M2} R(5,15) { ! convergent_lines(
% 244.46/244.82 parallel_through_point( Y, Z ), X ), convergent_lines( X, Y ) }.
% 244.46/244.82 parent0: (81806) {G1,W8,D3,L2,V3,M2} { convergent_lines( Z, X ), !
% 244.46/244.82 convergent_lines( parallel_through_point( X, Y ), Z ) }.
% 244.46/244.82 substitution0:
% 244.46/244.82 X := Y
% 244.46/244.82 Y := Z
% 244.46/244.82 Z := X
% 244.46/244.82 end
% 244.46/244.82 permutation0:
% 244.46/244.82 0 ==> 1
% 244.46/244.82 1 ==> 0
% 244.46/244.82 end
% 244.46/244.82
% 244.46/244.82 resolution: (81808) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 244.46/244.82 convergent_lines( X, Y ) }.
% 244.46/244.82 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 244.46/244.82 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 244.46/244.82 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 244.46/244.82 substitution0:
% 244.46/244.82 X := X
% 244.46/244.82 end
% 244.46/244.82 substitution1:
% 244.46/244.82 X := X
% 244.46/244.82 Y := Y
% 244.46/244.82 Z := X
% 244.46/244.82 end
% 244.46/244.82
% 244.46/244.82 subsumption: (67) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 244.46/244.82 convergent_lines( X, Y ) }.
% 244.46/244.82 parent0: (81808) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 244.46/244.82 convergent_lines( X, Y ) }.
% 244.46/244.82 substitution0:
% 244.46/244.82 X := Y
% 244.46/244.82 Y := X
% 244.46/244.82 end
% 244.46/244.82 permutation0:
% 244.46/244.82 0 ==> 1
% 244.46/244.82 1 ==> 0
% 244.46/244.82 end
% 244.46/244.82
% 244.46/244.82 resolution: (81810) {G1,W5,D3,L1,V2,M1} { ! convergent_lines( X,
% 244.46/244.82 parallel_through_point( X, Y ) ) }.
% 244.46/244.82 parent0[0]: (15) {G0,W5,D3,L1,V2,M1} I { ! convergent_lines(
% 244.46/244.82 parallel_through_point( Y, X ), Y ) }.
% 244.46/244.82 parent1[1]: (67) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 244.46/244.82 convergent_lines( X, Y ) }.
% 244.46/244.82 substitution0:
% 244.46/244.82 X := Y
% 244.46/244.82 Y := X
% 244.46/244.82 end
% 244.46/244.82 substitution1:
% 244.46/244.82 X := parallel_through_point( X, Y )
% 244.46/244.82 Y := X
% 244.46/244.82 end
% 244.46/244.82
% 244.46/244.82 subsumption: (70) {G2,W5,D3,L1,V2,M1} R(67,15) { ! convergent_lines( X,
% 244.46/244.82 parallel_through_point( X, Y ) ) }.
% 244.46/244.82 parent0: (81810) {G1,W5,D3,L1,V2,M1} { ! convergent_lines( X,
% 244.46/244.82 parallel_through_point( X, Y ) ) }.
% 244.46/244.82 substitution0:
% 244.46/244.82 X := X
% 244.46/244.82 Y := Y
% 244.46/244.82 end
% 244.46/244.82 permutation0:
% 244.46/244.82 0 ==> 0
% 244.46/244.82 end
% 244.46/244.82
% 244.46/244.82 resolution: (81811) {G1,W8,D3,L2,V3,M2} { convergent_lines( Z,
% 244.46/244.82 parallel_through_point( X, Y ) ), ! convergent_lines( X, Z ) }.
% 244.46/244.82 parent0[0]: (70) {G2,W5,D3,L1,V2,M1} R(67,15) { ! convergent_lines( X,
% 244.46/244.83 parallel_through_point( X, Y ) ) }.
% 244.46/244.83 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 244.46/244.83 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Z
% 244.46/244.83 Z := parallel_through_point( X, Y )
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (73) {G3,W8,D3,L2,V3,M2} R(70,5) { ! convergent_lines( Y, X )
% 244.46/244.83 , convergent_lines( X, parallel_through_point( Y, Z ) ) }.
% 244.46/244.83 parent0: (81811) {G1,W8,D3,L2,V3,M2} { convergent_lines( Z,
% 244.46/244.83 parallel_through_point( X, Y ) ), ! convergent_lines( X, Z ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := Y
% 244.46/244.83 Y := Z
% 244.46/244.83 Z := X
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 1
% 244.46/244.83 1 ==> 0
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81814) {G1,W8,D3,L2,V3,M2} { convergent_lines( Z,
% 244.46/244.83 parallel_through_point( X, Y ) ), ! convergent_lines( Z, X ) }.
% 244.46/244.83 parent0[0]: (70) {G2,W5,D3,L1,V2,M1} R(67,15) { ! convergent_lines( X,
% 244.46/244.83 parallel_through_point( X, Y ) ) }.
% 244.46/244.83 parent1[1]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 244.46/244.83 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := Z
% 244.46/244.83 Y := X
% 244.46/244.83 Z := parallel_through_point( X, Y )
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (74) {G3,W8,D3,L2,V3,M2} R(70,5) { ! convergent_lines( X, Y )
% 244.46/244.83 , convergent_lines( X, parallel_through_point( Y, Z ) ) }.
% 244.46/244.83 parent0: (81814) {G1,W8,D3,L2,V3,M2} { convergent_lines( Z,
% 244.46/244.83 parallel_through_point( X, Y ) ), ! convergent_lines( Z, X ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := Y
% 244.46/244.83 Y := Z
% 244.46/244.83 Z := X
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 1
% 244.46/244.83 1 ==> 0
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81815) {G1,W5,D3,L1,V2,M1} { convergent_lines(
% 244.46/244.83 orthogonal_through_point( X, Y ), X ) }.
% 244.46/244.83 parent0[0]: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 244.46/244.83 orthogonal_through_point( Y, X ), Y ) }.
% 244.46/244.83 parent1[1]: (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ),
% 244.46/244.83 unorthogonal_lines( X, Y ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := Y
% 244.46/244.83 Y := X
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := orthogonal_through_point( X, Y )
% 244.46/244.83 Y := X
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (105) {G1,W5,D3,L1,V2,M1} R(17,23) { convergent_lines(
% 244.46/244.83 orthogonal_through_point( X, Y ), X ) }.
% 244.46/244.83 parent0: (81815) {G1,W5,D3,L1,V2,M1} { convergent_lines(
% 244.46/244.83 orthogonal_through_point( X, Y ), X ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 0
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81816) {G1,W8,D3,L2,V3,M2} { convergent_lines(
% 244.46/244.83 orthogonal_through_point( X, Y ), Z ), convergent_lines( X, Z ) }.
% 244.46/244.83 parent0[2]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 244.46/244.83 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 244.46/244.83 parent1[0]: (105) {G1,W5,D3,L1,V2,M1} R(17,23) { convergent_lines(
% 244.46/244.83 orthogonal_through_point( X, Y ), X ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := orthogonal_through_point( X, Y )
% 244.46/244.83 Y := X
% 244.46/244.83 Z := Z
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (107) {G2,W8,D3,L2,V3,M2} R(105,5) { convergent_lines( X, Z )
% 244.46/244.83 , convergent_lines( orthogonal_through_point( X, Y ), Z ) }.
% 244.46/244.83 parent0: (81816) {G1,W8,D3,L2,V3,M2} { convergent_lines(
% 244.46/244.83 orthogonal_through_point( X, Y ), Z ), convergent_lines( X, Z ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 Z := Z
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 1
% 244.46/244.83 1 ==> 0
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81817) {G1,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), !
% 244.46/244.83 distinct_lines( Y, X ) }.
% 244.46/244.83 parent0[1]: (14) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), !
% 244.46/244.83 distinct_lines( X, Y ) }.
% 244.46/244.83 parent1[1]: (56) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 244.46/244.83 distinct_lines( X, Y ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (121) {G2,W6,D2,L2,V2,M1} R(14,56) { convergent_lines( X, Y )
% 244.46/244.83 , ! distinct_lines( Y, X ) }.
% 244.46/244.83 parent0: (81817) {G1,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), !
% 244.46/244.83 distinct_lines( Y, X ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 0
% 244.46/244.83 1 ==> 1
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81818) {G1,W12,D2,L4,V4,M4} { distinct_lines( X, Y ),
% 244.46/244.83 apart_point_and_line( Z, Y ), distinct_lines( T, X ), !
% 244.46/244.83 apart_point_and_line( Z, T ) }.
% 244.46/244.83 parent0[2]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 244.46/244.83 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 244.46/244.83 parent1[1]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 244.46/244.83 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := Z
% 244.46/244.83 Y := X
% 244.46/244.83 Z := Y
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := Z
% 244.46/244.83 Y := T
% 244.46/244.83 Z := X
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (129) {G1,W12,D2,L4,V4,M2} R(12,12) { distinct_lines( X, Y ),
% 244.46/244.83 distinct_lines( Y, T ), apart_point_and_line( Z, T ), !
% 244.46/244.83 apart_point_and_line( Z, X ) }.
% 244.46/244.83 parent0: (81818) {G1,W12,D2,L4,V4,M4} { distinct_lines( X, Y ),
% 244.46/244.83 apart_point_and_line( Z, Y ), distinct_lines( T, X ), !
% 244.46/244.83 apart_point_and_line( Z, T ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := Y
% 244.46/244.83 Y := T
% 244.46/244.83 Z := Z
% 244.46/244.83 T := X
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 1
% 244.46/244.83 1 ==> 2
% 244.46/244.83 2 ==> 0
% 244.46/244.83 3 ==> 3
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81820) {G1,W8,D3,L2,V3,M2} { distinct_lines( Z,
% 244.46/244.83 parallel_through_point( Y, X ) ), ! apart_point_and_line( X, Z ) }.
% 244.46/244.83 parent0[0]: (16) {G0,W5,D3,L1,V2,M1} I { ! apart_point_and_line( X,
% 244.46/244.83 parallel_through_point( Y, X ) ) }.
% 244.46/244.83 parent1[1]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 244.46/244.83 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Z
% 244.46/244.83 Z := parallel_through_point( Y, X )
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (141) {G1,W8,D3,L2,V3,M1} R(12,16) { distinct_lines( X,
% 244.46/244.83 parallel_through_point( Y, Z ) ), ! apart_point_and_line( Z, X ) }.
% 244.46/244.83 parent0: (81820) {G1,W8,D3,L2,V3,M2} { distinct_lines( Z,
% 244.46/244.83 parallel_through_point( Y, X ) ), ! apart_point_and_line( X, Z ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := Z
% 244.46/244.83 Y := Y
% 244.46/244.83 Z := X
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 0
% 244.46/244.83 1 ==> 1
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81822) {G1,W12,D2,L4,V3,M4} { convergent_lines( X, Y ), !
% 244.46/244.83 convergent_lines( X, Z ), ! unorthogonal_lines( X, Z ),
% 244.46/244.83 unorthogonal_lines( Z, Y ) }.
% 244.46/244.83 parent0[1]: (20) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), ! alpha1
% 244.46/244.83 ( X, Y ) }.
% 244.46/244.83 parent1[3]: (19) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 244.46/244.83 unorthogonal_lines( X, Y ), unorthogonal_lines( Y, Z ), alpha1( X, Z )
% 244.46/244.83 }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Z
% 244.46/244.83 Z := Y
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (166) {G1,W12,D2,L4,V3,M2} R(19,20) { ! convergent_lines( X, Y
% 244.46/244.83 ), convergent_lines( X, Z ), ! unorthogonal_lines( X, Y ),
% 244.46/244.83 unorthogonal_lines( Y, Z ) }.
% 244.46/244.83 parent0: (81822) {G1,W12,D2,L4,V3,M4} { convergent_lines( X, Y ), !
% 244.46/244.83 convergent_lines( X, Z ), ! unorthogonal_lines( X, Z ),
% 244.46/244.83 unorthogonal_lines( Z, Y ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Z
% 244.46/244.83 Z := Y
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 1
% 244.46/244.83 1 ==> 0
% 244.46/244.83 2 ==> 2
% 244.46/244.83 3 ==> 3
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81824) {G1,W12,D2,L4,V3,M4} { unorthogonal_lines( X, Y ), !
% 244.46/244.83 convergent_lines( X, Z ), ! unorthogonal_lines( X, Z ),
% 244.46/244.83 unorthogonal_lines( Z, Y ) }.
% 244.46/244.83 parent0[1]: (21) {G0,W6,D2,L2,V2,M1} I { unorthogonal_lines( X, Y ), !
% 244.46/244.83 alpha1( X, Y ) }.
% 244.46/244.83 parent1[3]: (19) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 244.46/244.83 unorthogonal_lines( X, Y ), unorthogonal_lines( Y, Z ), alpha1( X, Z )
% 244.46/244.83 }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Z
% 244.46/244.83 Z := Y
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (167) {G1,W12,D2,L4,V3,M3} R(19,21) { ! convergent_lines( X, Y
% 244.46/244.83 ), unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ), !
% 244.46/244.83 unorthogonal_lines( X, Y ) }.
% 244.46/244.83 parent0: (81824) {G1,W12,D2,L4,V3,M4} { unorthogonal_lines( X, Y ), !
% 244.46/244.83 convergent_lines( X, Z ), ! unorthogonal_lines( X, Z ),
% 244.46/244.83 unorthogonal_lines( Z, Y ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Z
% 244.46/244.83 Z := Y
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 2
% 244.46/244.83 1 ==> 0
% 244.46/244.83 2 ==> 3
% 244.46/244.83 3 ==> 1
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81826) {G2,W8,D3,L2,V3,M2} { convergent_lines( Y, X ),
% 244.46/244.83 convergent_lines( orthogonal_through_point( X, Z ), Y ) }.
% 244.46/244.83 parent0[0]: (67) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 244.46/244.83 convergent_lines( X, Y ) }.
% 244.46/244.83 parent1[0]: (107) {G2,W8,D3,L2,V3,M2} R(105,5) { convergent_lines( X, Z ),
% 244.46/244.83 convergent_lines( orthogonal_through_point( X, Y ), Z ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := Y
% 244.46/244.83 Y := X
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Z
% 244.46/244.83 Z := Y
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (179) {G3,W8,D3,L2,V3,M2} R(107,67) { convergent_lines( Z, X )
% 244.46/244.83 , convergent_lines( orthogonal_through_point( X, Y ), Z ) }.
% 244.46/244.83 parent0: (81826) {G2,W8,D3,L2,V3,M2} { convergent_lines( Y, X ),
% 244.46/244.83 convergent_lines( orthogonal_through_point( X, Z ), Y ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Z
% 244.46/244.83 Z := Y
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 0
% 244.46/244.83 1 ==> 1
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81829) {G2,W8,D3,L2,V3,M2} { convergent_lines( Z,
% 244.46/244.83 orthogonal_through_point( X, Y ) ), convergent_lines( Z, X ) }.
% 244.46/244.83 parent0[0]: (67) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 244.46/244.83 convergent_lines( X, Y ) }.
% 244.46/244.83 parent1[1]: (179) {G3,W8,D3,L2,V3,M2} R(107,67) { convergent_lines( Z, X )
% 244.46/244.83 , convergent_lines( orthogonal_through_point( X, Y ), Z ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := Z
% 244.46/244.83 Y := orthogonal_through_point( X, Y )
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 Z := Z
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (196) {G4,W8,D3,L2,V3,M2} R(179,67) { convergent_lines( X,
% 244.46/244.83 orthogonal_through_point( Y, Z ) ), convergent_lines( X, Y ) }.
% 244.46/244.83 parent0: (81829) {G2,W8,D3,L2,V3,M2} { convergent_lines( Z,
% 244.46/244.83 orthogonal_through_point( X, Y ) ), convergent_lines( Z, X ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := Y
% 244.46/244.83 Y := Z
% 244.46/244.83 Z := X
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 0
% 244.46/244.83 1 ==> 1
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81831) {G1,W8,D3,L2,V3,M2} { ! convergent_lines( Z, X ),
% 244.46/244.83 unorthogonal_lines( orthogonal_through_point( X, Y ), Z ) }.
% 244.46/244.83 parent0[0]: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 244.46/244.83 orthogonal_through_point( Y, X ), Y ) }.
% 244.46/244.83 parent1[2]: (31) {G0,W9,D2,L3,V3,M2} I { ! convergent_lines( X, Y ),
% 244.46/244.83 unorthogonal_lines( Z, X ), unorthogonal_lines( Z, Y ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := Y
% 244.46/244.83 Y := X
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := Z
% 244.46/244.83 Y := X
% 244.46/244.83 Z := orthogonal_through_point( X, Y )
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (263) {G1,W8,D3,L2,V3,M1} R(31,23) { ! convergent_lines( X, Y
% 244.46/244.83 ), unorthogonal_lines( orthogonal_through_point( Y, Z ), X ) }.
% 244.46/244.83 parent0: (81831) {G1,W8,D3,L2,V3,M2} { ! convergent_lines( Z, X ),
% 244.46/244.83 unorthogonal_lines( orthogonal_through_point( X, Y ), Z ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := Y
% 244.46/244.83 Y := Z
% 244.46/244.83 Z := X
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 0
% 244.46/244.83 1 ==> 1
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81832) {G2,W10,D3,L2,V4,M2} { convergent_lines(
% 244.46/244.83 parallel_through_point( Z, T ), X ), ! convergent_lines(
% 244.46/244.83 parallel_through_point( X, Y ), Z ) }.
% 244.46/244.83 parent0[0]: (63) {G1,W8,D3,L2,V3,M2} R(5,15) { ! convergent_lines(
% 244.46/244.83 parallel_through_point( Y, Z ), X ), convergent_lines( X, Y ) }.
% 244.46/244.83 parent1[1]: (74) {G3,W8,D3,L2,V3,M2} R(70,5) { ! convergent_lines( X, Y ),
% 244.46/244.83 convergent_lines( X, parallel_through_point( Y, Z ) ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := parallel_through_point( Z, T )
% 244.46/244.83 Y := X
% 244.46/244.83 Z := Y
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := parallel_through_point( X, Y )
% 244.46/244.83 Y := Z
% 244.46/244.83 Z := T
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (363) {G4,W10,D3,L2,V4,M2} R(63,74) { ! convergent_lines(
% 244.46/244.83 parallel_through_point( Z, T ), X ), convergent_lines(
% 244.46/244.83 parallel_through_point( X, Y ), Z ) }.
% 244.46/244.83 parent0: (81832) {G2,W10,D3,L2,V4,M2} { convergent_lines(
% 244.46/244.83 parallel_through_point( Z, T ), X ), ! convergent_lines(
% 244.46/244.83 parallel_through_point( X, Y ), Z ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := Z
% 244.46/244.83 Y := T
% 244.46/244.83 Z := X
% 244.46/244.83 T := Y
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 1
% 244.46/244.83 1 ==> 0
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81833) {G2,W10,D3,L2,V4,M2} { convergent_lines(
% 244.46/244.83 parallel_through_point( Z, T ), X ), ! convergent_lines( Z,
% 244.46/244.83 parallel_through_point( X, Y ) ) }.
% 244.46/244.83 parent0[0]: (63) {G1,W8,D3,L2,V3,M2} R(5,15) { ! convergent_lines(
% 244.46/244.83 parallel_through_point( Y, Z ), X ), convergent_lines( X, Y ) }.
% 244.46/244.83 parent1[1]: (73) {G3,W8,D3,L2,V3,M2} R(70,5) { ! convergent_lines( Y, X ),
% 244.46/244.83 convergent_lines( X, parallel_through_point( Y, Z ) ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := parallel_through_point( Z, T )
% 244.46/244.83 Y := X
% 244.46/244.83 Z := Y
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := parallel_through_point( X, Y )
% 244.46/244.83 Y := Z
% 244.46/244.83 Z := T
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (368) {G4,W10,D3,L2,V4,M2} R(63,73) { ! convergent_lines( X,
% 244.46/244.83 parallel_through_point( Z, T ) ), convergent_lines(
% 244.46/244.83 parallel_through_point( X, Y ), Z ) }.
% 244.46/244.83 parent0: (81833) {G2,W10,D3,L2,V4,M2} { convergent_lines(
% 244.46/244.83 parallel_through_point( Z, T ), X ), ! convergent_lines( Z,
% 244.46/244.83 parallel_through_point( X, Y ) ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := Z
% 244.46/244.83 Y := T
% 244.46/244.83 Z := X
% 244.46/244.83 T := Y
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 1
% 244.46/244.83 1 ==> 0
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81835) {G2,W8,D3,L2,V3,M2} { convergent_lines( Y, X ), !
% 244.46/244.83 convergent_lines( parallel_through_point( Y, Z ), X ) }.
% 244.46/244.83 parent0[0]: (67) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 244.46/244.83 convergent_lines( X, Y ) }.
% 244.46/244.83 parent1[1]: (63) {G1,W8,D3,L2,V3,M2} R(5,15) { ! convergent_lines(
% 244.46/244.83 parallel_through_point( Y, Z ), X ), convergent_lines( X, Y ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := Y
% 244.46/244.83 Y := X
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 Z := Z
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (372) {G2,W8,D3,L2,V3,M2} R(63,67) { convergent_lines( X, Z )
% 244.46/244.83 , ! convergent_lines( parallel_through_point( X, Y ), Z ) }.
% 244.46/244.83 parent0: (81835) {G2,W8,D3,L2,V3,M2} { convergent_lines( Y, X ), !
% 244.46/244.83 convergent_lines( parallel_through_point( Y, Z ), X ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := Z
% 244.46/244.83 Y := X
% 244.46/244.83 Z := Y
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 0
% 244.46/244.83 1 ==> 1
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81836) {G2,W8,D3,L2,V3,M2} { convergent_lines( X, Y ), !
% 244.46/244.83 convergent_lines( Y, parallel_through_point( X, Z ) ) }.
% 244.46/244.83 parent0[1]: (372) {G2,W8,D3,L2,V3,M2} R(63,67) { convergent_lines( X, Z ),
% 244.46/244.83 ! convergent_lines( parallel_through_point( X, Y ), Z ) }.
% 244.46/244.83 parent1[1]: (67) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 244.46/244.83 convergent_lines( X, Y ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Z
% 244.46/244.83 Z := Y
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := parallel_through_point( X, Z )
% 244.46/244.83 Y := Y
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (390) {G3,W8,D3,L2,V3,M2} R(372,67) { ! convergent_lines( Y,
% 244.46/244.83 parallel_through_point( X, Z ) ), convergent_lines( X, Y ) }.
% 244.46/244.83 parent0: (81836) {G2,W8,D3,L2,V3,M2} { convergent_lines( X, Y ), !
% 244.46/244.83 convergent_lines( Y, parallel_through_point( X, Z ) ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 Z := Z
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 1
% 244.46/244.83 1 ==> 0
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81838) {G1,W10,D3,L2,V0,M2} { ! incident_point_and_line(
% 244.46/244.83 intersection_point( skol3, skol4 ), skol1 ), apart_point_and_line(
% 244.46/244.83 intersection_point( skol3, skol4 ), skol2 ) }.
% 244.46/244.83 parent0[1]: (50) {G0,W10,D3,L2,V0,M1} I { ! incident_point_and_line(
% 244.46/244.83 intersection_point( skol3, skol4 ), skol1 ), ! incident_point_and_line(
% 244.46/244.83 intersection_point( skol3, skol4 ), skol2 ) }.
% 244.46/244.83 parent1[1]: (43) {G0,W6,D2,L2,V2,M1} I { apart_point_and_line( X, Y ),
% 244.46/244.83 incident_point_and_line( X, Y ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := intersection_point( skol3, skol4 )
% 244.46/244.83 Y := skol2
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (398) {G1,W10,D3,L2,V0,M1} R(50,43) { apart_point_and_line(
% 244.46/244.83 intersection_point( skol3, skol4 ), skol2 ), ! incident_point_and_line(
% 244.46/244.83 intersection_point( skol3, skol4 ), skol1 ) }.
% 244.46/244.83 parent0: (81838) {G1,W10,D3,L2,V0,M2} { ! incident_point_and_line(
% 244.46/244.83 intersection_point( skol3, skol4 ), skol1 ), apart_point_and_line(
% 244.46/244.83 intersection_point( skol3, skol4 ), skol2 ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 1
% 244.46/244.83 1 ==> 0
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81839) {G2,W14,D3,L4,V5,M4} { distinct_lines( X,
% 244.46/244.83 parallel_through_point( Y, Z ) ), distinct_lines( T, U ), distinct_lines
% 244.46/244.83 ( U, X ), ! apart_point_and_line( Z, T ) }.
% 244.46/244.83 parent0[1]: (141) {G1,W8,D3,L2,V3,M1} R(12,16) { distinct_lines( X,
% 244.46/244.83 parallel_through_point( Y, Z ) ), ! apart_point_and_line( Z, X ) }.
% 244.46/244.83 parent1[2]: (129) {G1,W12,D2,L4,V4,M2} R(12,12) { distinct_lines( X, Y ),
% 244.46/244.83 distinct_lines( Y, T ), apart_point_and_line( Z, T ), !
% 244.46/244.83 apart_point_and_line( Z, X ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 Z := Z
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := T
% 244.46/244.83 Y := U
% 244.46/244.83 Z := Z
% 244.46/244.83 T := X
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (2256) {G2,W14,D3,L4,V5,M1} R(129,141) { distinct_lines( X, Y
% 244.46/244.83 ), distinct_lines( Y, Z ), distinct_lines( Z, parallel_through_point( U
% 244.46/244.83 , T ) ), ! apart_point_and_line( T, X ) }.
% 244.46/244.83 parent0: (81839) {G2,W14,D3,L4,V5,M4} { distinct_lines( X,
% 244.46/244.83 parallel_through_point( Y, Z ) ), distinct_lines( T, U ), distinct_lines
% 244.46/244.83 ( U, X ), ! apart_point_and_line( Z, T ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := Z
% 244.46/244.83 Y := U
% 244.46/244.83 Z := T
% 244.46/244.83 T := X
% 244.46/244.83 U := Y
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 2
% 244.46/244.83 1 ==> 0
% 244.46/244.83 2 ==> 1
% 244.46/244.83 3 ==> 3
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 factor: (81845) {G2,W13,D3,L3,V3,M3} { distinct_lines( X,
% 244.46/244.83 parallel_through_point( Y, Z ) ), distinct_lines( parallel_through_point
% 244.46/244.83 ( Y, Z ), X ), ! apart_point_and_line( Z, X ) }.
% 244.46/244.83 parent0[0, 2]: (2256) {G2,W14,D3,L4,V5,M1} R(129,141) { distinct_lines( X,
% 244.46/244.83 Y ), distinct_lines( Y, Z ), distinct_lines( Z, parallel_through_point( U
% 244.46/244.83 , T ) ), ! apart_point_and_line( T, X ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := parallel_through_point( Y, Z )
% 244.46/244.83 Z := X
% 244.46/244.83 T := Z
% 244.46/244.83 U := Y
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81851) {G2,W13,D3,L3,V3,M3} { distinct_lines(
% 244.46/244.83 parallel_through_point( Y, Z ), X ), distinct_lines(
% 244.46/244.83 parallel_through_point( Y, Z ), X ), ! apart_point_and_line( Z, X ) }.
% 244.46/244.83 parent0[0]: (56) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 244.46/244.83 distinct_lines( X, Y ) }.
% 244.46/244.83 parent1[0]: (81845) {G2,W13,D3,L3,V3,M3} { distinct_lines( X,
% 244.46/244.83 parallel_through_point( Y, Z ) ), distinct_lines( parallel_through_point
% 244.46/244.83 ( Y, Z ), X ), ! apart_point_and_line( Z, X ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := parallel_through_point( Y, Z )
% 244.46/244.83 Y := X
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 Z := Z
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 factor: (81853) {G2,W8,D3,L2,V3,M2} { distinct_lines(
% 244.46/244.83 parallel_through_point( X, Y ), Z ), ! apart_point_and_line( Y, Z ) }.
% 244.46/244.83 parent0[0, 1]: (81851) {G2,W13,D3,L3,V3,M3} { distinct_lines(
% 244.46/244.83 parallel_through_point( Y, Z ), X ), distinct_lines(
% 244.46/244.83 parallel_through_point( Y, Z ), X ), ! apart_point_and_line( Z, X ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := Z
% 244.46/244.83 Y := X
% 244.46/244.83 Z := Y
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (2264) {G3,W8,D3,L2,V3,M1} F(2256);r(56) { distinct_lines(
% 244.46/244.83 parallel_through_point( Y, Z ), X ), ! apart_point_and_line( Z, X ) }.
% 244.46/244.83 parent0: (81853) {G2,W8,D3,L2,V3,M2} { distinct_lines(
% 244.46/244.83 parallel_through_point( X, Y ), Z ), ! apart_point_and_line( Y, Z ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := Y
% 244.46/244.83 Y := Z
% 244.46/244.83 Z := X
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 0
% 244.46/244.83 1 ==> 1
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81855) {G1,W10,D3,L2,V0,M2} { apart_point_and_line(
% 244.46/244.83 intersection_point( skol3, skol4 ), skol2 ), apart_point_and_line(
% 244.46/244.83 intersection_point( skol3, skol4 ), skol1 ) }.
% 244.46/244.83 parent0[1]: (398) {G1,W10,D3,L2,V0,M1} R(50,43) { apart_point_and_line(
% 244.46/244.83 intersection_point( skol3, skol4 ), skol2 ), ! incident_point_and_line(
% 244.46/244.83 intersection_point( skol3, skol4 ), skol1 ) }.
% 244.46/244.83 parent1[1]: (43) {G0,W6,D2,L2,V2,M1} I { apart_point_and_line( X, Y ),
% 244.46/244.83 incident_point_and_line( X, Y ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := intersection_point( skol3, skol4 )
% 244.46/244.83 Y := skol1
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (2335) {G2,W10,D3,L2,V0,M1} R(398,43) { apart_point_and_line(
% 244.46/244.83 intersection_point( skol3, skol4 ), skol1 ), apart_point_and_line(
% 244.46/244.83 intersection_point( skol3, skol4 ), skol2 ) }.
% 244.46/244.83 parent0: (81855) {G1,W10,D3,L2,V0,M2} { apart_point_and_line(
% 244.46/244.83 intersection_point( skol3, skol4 ), skol2 ), apart_point_and_line(
% 244.46/244.83 intersection_point( skol3, skol4 ), skol1 ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 1
% 244.46/244.83 1 ==> 0
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81857) {G2,W12,D4,L2,V1,M2} { distinct_lines( skol2,
% 244.46/244.83 parallel_through_point( X, intersection_point( skol3, skol4 ) ) ),
% 244.46/244.83 apart_point_and_line( intersection_point( skol3, skol4 ), skol1 ) }.
% 244.46/244.83 parent0[1]: (141) {G1,W8,D3,L2,V3,M1} R(12,16) { distinct_lines( X,
% 244.46/244.83 parallel_through_point( Y, Z ) ), ! apart_point_and_line( Z, X ) }.
% 244.46/244.83 parent1[1]: (2335) {G2,W10,D3,L2,V0,M1} R(398,43) { apart_point_and_line(
% 244.46/244.83 intersection_point( skol3, skol4 ), skol1 ), apart_point_and_line(
% 244.46/244.83 intersection_point( skol3, skol4 ), skol2 ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := skol2
% 244.46/244.83 Y := X
% 244.46/244.83 Z := intersection_point( skol3, skol4 )
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (2343) {G3,W12,D4,L2,V1,M1} R(2335,141) { distinct_lines(
% 244.46/244.83 skol2, parallel_through_point( X, intersection_point( skol3, skol4 ) ) )
% 244.46/244.83 , apart_point_and_line( intersection_point( skol3, skol4 ), skol1 ) }.
% 244.46/244.83 parent0: (81857) {G2,W12,D4,L2,V1,M2} { distinct_lines( skol2,
% 244.46/244.83 parallel_through_point( X, intersection_point( skol3, skol4 ) ) ),
% 244.46/244.83 apart_point_and_line( intersection_point( skol3, skol4 ), skol1 ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 0
% 244.46/244.83 1 ==> 1
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81858) {G1,W13,D3,L3,V3,M3} { ! convergent_lines( Z,
% 244.46/244.83 orthogonal_through_point( X, Y ) ), convergent_lines( Z, X ), !
% 244.46/244.83 unorthogonal_lines( Z, orthogonal_through_point( X, Y ) ) }.
% 244.46/244.83 parent0[0]: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 244.46/244.83 orthogonal_through_point( Y, X ), Y ) }.
% 244.46/244.83 parent1[3]: (166) {G1,W12,D2,L4,V3,M2} R(19,20) { ! convergent_lines( X, Y
% 244.46/244.83 ), convergent_lines( X, Z ), ! unorthogonal_lines( X, Y ),
% 244.46/244.83 unorthogonal_lines( Y, Z ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := Y
% 244.46/244.83 Y := X
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := Z
% 244.46/244.83 Y := orthogonal_through_point( X, Y )
% 244.46/244.83 Z := X
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81859) {G2,W11,D3,L3,V3,M3} { convergent_lines( X, Y ), !
% 244.46/244.83 unorthogonal_lines( X, orthogonal_through_point( Y, Z ) ),
% 244.46/244.83 convergent_lines( X, Y ) }.
% 244.46/244.83 parent0[0]: (81858) {G1,W13,D3,L3,V3,M3} { ! convergent_lines( Z,
% 244.46/244.83 orthogonal_through_point( X, Y ) ), convergent_lines( Z, X ), !
% 244.46/244.83 unorthogonal_lines( Z, orthogonal_through_point( X, Y ) ) }.
% 244.46/244.83 parent1[0]: (196) {G4,W8,D3,L2,V3,M2} R(179,67) { convergent_lines( X,
% 244.46/244.83 orthogonal_through_point( Y, Z ) ), convergent_lines( X, Y ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := Y
% 244.46/244.83 Y := Z
% 244.46/244.83 Z := X
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 Z := Z
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 factor: (81860) {G2,W8,D3,L2,V3,M2} { convergent_lines( X, Y ), !
% 244.46/244.83 unorthogonal_lines( X, orthogonal_through_point( Y, Z ) ) }.
% 244.46/244.83 parent0[0, 2]: (81859) {G2,W11,D3,L3,V3,M3} { convergent_lines( X, Y ), !
% 244.46/244.83 unorthogonal_lines( X, orthogonal_through_point( Y, Z ) ),
% 244.46/244.83 convergent_lines( X, Y ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 Z := Z
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (2931) {G5,W8,D3,L2,V3,M1} R(166,23);r(196) { convergent_lines
% 244.46/244.83 ( X, Y ), ! unorthogonal_lines( X, orthogonal_through_point( Y, Z ) ) }.
% 244.46/244.83 parent0: (81860) {G2,W8,D3,L2,V3,M2} { convergent_lines( X, Y ), !
% 244.46/244.83 unorthogonal_lines( X, orthogonal_through_point( Y, Z ) ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 Z := Z
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 0
% 244.46/244.83 1 ==> 1
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81861) {G1,W15,D2,L5,V4,M5} { ! convergent_lines( X, Y ),
% 244.46/244.83 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ), !
% 244.46/244.83 convergent_lines( Y, T ), unorthogonal_lines( X, T ) }.
% 244.46/244.83 parent0[3]: (167) {G1,W12,D2,L4,V3,M3} R(19,21) { ! convergent_lines( X, Y
% 244.46/244.83 ), unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ), !
% 244.46/244.83 unorthogonal_lines( X, Y ) }.
% 244.46/244.83 parent1[1]: (31) {G0,W9,D2,L3,V3,M2} I { ! convergent_lines( X, Y ),
% 244.46/244.83 unorthogonal_lines( Z, X ), unorthogonal_lines( Z, Y ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 Z := Z
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := Y
% 244.46/244.83 Y := T
% 244.46/244.83 Z := X
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (2955) {G2,W15,D2,L5,V4,M3} R(167,31) { ! convergent_lines( X
% 244.46/244.83 , Y ), ! convergent_lines( Y, T ), unorthogonal_lines( Y, Z ),
% 244.46/244.83 unorthogonal_lines( X, T ), unorthogonal_lines( X, Z ) }.
% 244.46/244.83 parent0: (81861) {G1,W15,D2,L5,V4,M5} { ! convergent_lines( X, Y ),
% 244.46/244.83 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ), !
% 244.46/244.83 convergent_lines( Y, T ), unorthogonal_lines( X, T ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 Z := Z
% 244.46/244.83 T := T
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 0
% 244.46/244.83 1 ==> 2
% 244.46/244.83 2 ==> 4
% 244.46/244.83 3 ==> 1
% 244.46/244.83 4 ==> 3
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 factor: (81876) {G2,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 244.46/244.83 convergent_lines( Y, Z ), unorthogonal_lines( Y, Z ), unorthogonal_lines
% 244.46/244.83 ( X, Z ) }.
% 244.46/244.83 parent0[3, 4]: (2955) {G2,W15,D2,L5,V4,M3} R(167,31) { ! convergent_lines(
% 244.46/244.83 X, Y ), ! convergent_lines( Y, T ), unorthogonal_lines( Y, Z ),
% 244.46/244.83 unorthogonal_lines( X, T ), unorthogonal_lines( X, Z ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 Z := Z
% 244.46/244.83 T := Z
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81900) {G1,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ),
% 244.46/244.83 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ),
% 244.46/244.83 unorthogonal_lines( Y, Z ) }.
% 244.46/244.83 parent0[1]: (81876) {G2,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 244.46/244.83 convergent_lines( Y, Z ), unorthogonal_lines( Y, Z ), unorthogonal_lines
% 244.46/244.83 ( X, Z ) }.
% 244.46/244.83 parent1[0]: (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ),
% 244.46/244.83 unorthogonal_lines( X, Y ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 Z := Z
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := Y
% 244.46/244.83 Y := Z
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 factor: (81904) {G1,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 244.46/244.83 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ) }.
% 244.46/244.83 parent0[1, 3]: (81900) {G1,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ),
% 244.46/244.83 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ),
% 244.46/244.83 unorthogonal_lines( Y, Z ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 Z := Z
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (2966) {G3,W9,D2,L3,V3,M2} F(2955);r(17) { ! convergent_lines
% 244.46/244.83 ( X, Y ), unorthogonal_lines( X, Z ), unorthogonal_lines( Y, Z ) }.
% 244.46/244.83 parent0: (81904) {G1,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 244.46/244.83 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 Z := Z
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 0
% 244.46/244.83 1 ==> 2
% 244.46/244.83 2 ==> 1
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81906) {G2,W10,D3,L2,V4,M2} { convergent_lines(
% 244.46/244.83 orthogonal_through_point( X, Y ), Z ), ! convergent_lines(
% 244.46/244.83 orthogonal_through_point( Z, T ), X ) }.
% 244.46/244.83 parent0[1]: (2931) {G5,W8,D3,L2,V3,M1} R(166,23);r(196) { convergent_lines
% 244.46/244.83 ( X, Y ), ! unorthogonal_lines( X, orthogonal_through_point( Y, Z ) ) }.
% 244.46/244.83 parent1[1]: (263) {G1,W8,D3,L2,V3,M1} R(31,23) { ! convergent_lines( X, Y )
% 244.46/244.83 , unorthogonal_lines( orthogonal_through_point( Y, Z ), X ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := orthogonal_through_point( X, Y )
% 244.46/244.83 Y := Z
% 244.46/244.83 Z := T
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := orthogonal_through_point( Z, T )
% 244.46/244.83 Y := X
% 244.46/244.83 Z := Y
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (3201) {G6,W10,D3,L2,V4,M2} R(2931,263) { ! convergent_lines(
% 244.46/244.83 orthogonal_through_point( Z, T ), X ), convergent_lines(
% 244.46/244.83 orthogonal_through_point( X, Y ), Z ) }.
% 244.46/244.83 parent0: (81906) {G2,W10,D3,L2,V4,M2} { convergent_lines(
% 244.46/244.83 orthogonal_through_point( X, Y ), Z ), ! convergent_lines(
% 244.46/244.83 orthogonal_through_point( Z, T ), X ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 Z := Z
% 244.46/244.83 T := T
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 1
% 244.46/244.83 1 ==> 0
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81907) {G1,W8,D3,L2,V3,M2} { ! convergent_lines(
% 244.46/244.83 orthogonal_through_point( X, Y ), Z ), unorthogonal_lines( Z, X ) }.
% 244.46/244.83 parent0[0]: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 244.46/244.83 orthogonal_through_point( Y, X ), Y ) }.
% 244.46/244.83 parent1[1]: (2966) {G3,W9,D2,L3,V3,M2} F(2955);r(17) { ! convergent_lines(
% 244.46/244.83 X, Y ), unorthogonal_lines( X, Z ), unorthogonal_lines( Y, Z ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := Y
% 244.46/244.83 Y := X
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := orthogonal_through_point( X, Y )
% 244.46/244.83 Y := Z
% 244.46/244.83 Z := X
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (4308) {G4,W8,D3,L2,V3,M1} R(2966,23) { ! convergent_lines(
% 244.46/244.83 orthogonal_through_point( X, Y ), Z ), unorthogonal_lines( Z, X ) }.
% 244.46/244.83 parent0: (81907) {G1,W8,D3,L2,V3,M2} { ! convergent_lines(
% 244.46/244.83 orthogonal_through_point( X, Y ), Z ), unorthogonal_lines( Z, X ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 Z := Z
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 0
% 244.46/244.83 1 ==> 1
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81909) {G1,W7,D3,L1,V3,M1} { ! convergent_lines(
% 244.46/244.83 orthogonal_through_point( X, Z ), orthogonal_through_point( X, Y ) ) }.
% 244.46/244.83 parent0[0]: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 244.46/244.83 orthogonal_through_point( Y, X ), Y ) }.
% 244.46/244.83 parent1[1]: (4308) {G4,W8,D3,L2,V3,M1} R(2966,23) { ! convergent_lines(
% 244.46/244.83 orthogonal_through_point( X, Y ), Z ), unorthogonal_lines( Z, X ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := Y
% 244.46/244.83 Y := X
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Z
% 244.46/244.83 Z := orthogonal_through_point( X, Y )
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (4316) {G5,W7,D3,L1,V3,M1} R(4308,23) { ! convergent_lines(
% 244.46/244.83 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ) }.
% 244.46/244.83 parent0: (81909) {G1,W7,D3,L1,V3,M1} { ! convergent_lines(
% 244.46/244.83 orthogonal_through_point( X, Z ), orthogonal_through_point( X, Y ) ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Z
% 244.46/244.83 Z := Y
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 0
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81910) {G6,W7,D4,L1,V3,M1} { ! convergent_lines(
% 244.46/244.83 orthogonal_through_point( orthogonal_through_point( X, Z ), T ), X ) }.
% 244.46/244.83 parent0[0]: (4316) {G5,W7,D3,L1,V3,M1} R(4308,23) { ! convergent_lines(
% 244.46/244.83 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ) }.
% 244.46/244.83 parent1[1]: (3201) {G6,W10,D3,L2,V4,M2} R(2931,263) { ! convergent_lines(
% 244.46/244.83 orthogonal_through_point( Z, T ), X ), convergent_lines(
% 244.46/244.83 orthogonal_through_point( X, Y ), Z ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 Z := Z
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 Z := orthogonal_through_point( X, Z )
% 244.46/244.83 T := T
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (25770) {G7,W7,D4,L1,V3,M1} R(3201,4316) { ! convergent_lines
% 244.46/244.83 ( orthogonal_through_point( orthogonal_through_point( X, Y ), Z ), X )
% 244.46/244.83 }.
% 244.46/244.83 parent0: (81910) {G6,W7,D4,L1,V3,M1} { ! convergent_lines(
% 244.46/244.83 orthogonal_through_point( orthogonal_through_point( X, Z ), T ), X ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := T
% 244.46/244.83 Z := Y
% 244.46/244.83 T := Z
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 0
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81911) {G4,W9,D5,L1,V4,M1} { ! convergent_lines( X,
% 244.46/244.83 parallel_through_point( orthogonal_through_point(
% 244.46/244.83 orthogonal_through_point( X, Y ), Z ), T ) ) }.
% 244.46/244.83 parent0[0]: (25770) {G7,W7,D4,L1,V3,M1} R(3201,4316) { ! convergent_lines(
% 244.46/244.83 orthogonal_through_point( orthogonal_through_point( X, Y ), Z ), X ) }.
% 244.46/244.83 parent1[1]: (390) {G3,W8,D3,L2,V3,M2} R(372,67) { ! convergent_lines( Y,
% 244.46/244.83 parallel_through_point( X, Z ) ), convergent_lines( X, Y ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 Z := Z
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := orthogonal_through_point( orthogonal_through_point( X, Y ), Z )
% 244.46/244.83 Y := X
% 244.46/244.83 Z := T
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (26099) {G8,W9,D5,L1,V4,M1} R(25770,390) { ! convergent_lines
% 244.46/244.83 ( X, parallel_through_point( orthogonal_through_point(
% 244.46/244.83 orthogonal_through_point( X, Y ), Z ), T ) ) }.
% 244.46/244.83 parent0: (81911) {G4,W9,D5,L1,V4,M1} { ! convergent_lines( X,
% 244.46/244.83 parallel_through_point( orthogonal_through_point(
% 244.46/244.83 orthogonal_through_point( X, Y ), Z ), T ) ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 Z := Z
% 244.46/244.83 T := T
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 0
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81912) {G5,W13,D7,L1,V6,M1} { ! convergent_lines( X,
% 244.46/244.83 parallel_through_point( parallel_through_point( orthogonal_through_point
% 244.46/244.83 ( orthogonal_through_point( parallel_through_point( X, Y ), Z ), T ), U )
% 244.46/244.83 , W ) ) }.
% 244.46/244.83 parent0[0]: (26099) {G8,W9,D5,L1,V4,M1} R(25770,390) { ! convergent_lines(
% 244.46/244.83 X, parallel_through_point( orthogonal_through_point(
% 244.46/244.83 orthogonal_through_point( X, Y ), Z ), T ) ) }.
% 244.46/244.83 parent1[1]: (368) {G4,W10,D3,L2,V4,M2} R(63,73) { ! convergent_lines( X,
% 244.46/244.83 parallel_through_point( Z, T ) ), convergent_lines(
% 244.46/244.83 parallel_through_point( X, Y ), Z ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := parallel_through_point( X, Y )
% 244.46/244.83 Y := Z
% 244.46/244.83 Z := T
% 244.46/244.83 T := U
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 Z := parallel_through_point( orthogonal_through_point(
% 244.46/244.83 orthogonal_through_point( parallel_through_point( X, Y ), Z ), T ), U )
% 244.46/244.83 T := W
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (26859) {G9,W13,D7,L1,V6,M1} R(26099,368) { ! convergent_lines
% 244.46/244.83 ( X, parallel_through_point( parallel_through_point(
% 244.46/244.83 orthogonal_through_point( orthogonal_through_point(
% 244.46/244.83 parallel_through_point( X, Y ), Z ), T ), U ), W ) ) }.
% 244.46/244.83 parent0: (81912) {G5,W13,D7,L1,V6,M1} { ! convergent_lines( X,
% 244.46/244.83 parallel_through_point( parallel_through_point( orthogonal_through_point
% 244.46/244.83 ( orthogonal_through_point( parallel_through_point( X, Y ), Z ), T ), U )
% 244.46/244.83 , W ) ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 Z := Z
% 244.46/244.83 T := T
% 244.46/244.83 U := U
% 244.46/244.83 W := W
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 0
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81913) {G5,W13,D7,L1,V6,M1} { ! convergent_lines(
% 244.46/244.83 parallel_through_point( parallel_through_point( orthogonal_through_point
% 244.46/244.83 ( orthogonal_through_point( parallel_through_point( X, Y ), Z ), T ), U )
% 244.46/244.83 , W ), X ) }.
% 244.46/244.83 parent0[0]: (26099) {G8,W9,D5,L1,V4,M1} R(25770,390) { ! convergent_lines(
% 244.46/244.83 X, parallel_through_point( orthogonal_through_point(
% 244.46/244.83 orthogonal_through_point( X, Y ), Z ), T ) ) }.
% 244.46/244.83 parent1[1]: (363) {G4,W10,D3,L2,V4,M2} R(63,74) { ! convergent_lines(
% 244.46/244.83 parallel_through_point( Z, T ), X ), convergent_lines(
% 244.46/244.83 parallel_through_point( X, Y ), Z ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := parallel_through_point( X, Y )
% 244.46/244.83 Y := Z
% 244.46/244.83 Z := T
% 244.46/244.83 T := U
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 Z := parallel_through_point( orthogonal_through_point(
% 244.46/244.83 orthogonal_through_point( parallel_through_point( X, Y ), Z ), T ), U )
% 244.46/244.83 T := W
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (26861) {G9,W13,D7,L1,V6,M1} R(26099,363) { ! convergent_lines
% 244.46/244.83 ( parallel_through_point( parallel_through_point(
% 244.46/244.83 orthogonal_through_point( orthogonal_through_point(
% 244.46/244.83 parallel_through_point( X, Y ), Z ), T ), U ), W ), X ) }.
% 244.46/244.83 parent0: (81913) {G5,W13,D7,L1,V6,M1} { ! convergent_lines(
% 244.46/244.83 parallel_through_point( parallel_through_point( orthogonal_through_point
% 244.46/244.83 ( orthogonal_through_point( parallel_through_point( X, Y ), Z ), T ), U )
% 244.46/244.83 , W ), X ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 Z := Z
% 244.46/244.83 T := T
% 244.46/244.83 U := U
% 244.46/244.83 W := W
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 0
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81914) {G4,W14,D4,L2,V2,M2} { distinct_lines(
% 244.46/244.83 parallel_through_point( X, intersection_point( skol3, skol4 ) ), skol1 )
% 244.46/244.83 , distinct_lines( skol2, parallel_through_point( Y, intersection_point(
% 244.46/244.83 skol3, skol4 ) ) ) }.
% 244.46/244.83 parent0[1]: (2264) {G3,W8,D3,L2,V3,M1} F(2256);r(56) { distinct_lines(
% 244.46/244.83 parallel_through_point( Y, Z ), X ), ! apart_point_and_line( Z, X ) }.
% 244.46/244.83 parent1[1]: (2343) {G3,W12,D4,L2,V1,M1} R(2335,141) { distinct_lines( skol2
% 244.46/244.83 , parallel_through_point( X, intersection_point( skol3, skol4 ) ) ),
% 244.46/244.83 apart_point_and_line( intersection_point( skol3, skol4 ), skol1 ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := skol1
% 244.46/244.83 Y := X
% 244.46/244.83 Z := intersection_point( skol3, skol4 )
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := Y
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (70080) {G4,W14,D4,L2,V2,M1} R(2343,2264) { distinct_lines(
% 244.46/244.83 parallel_through_point( Y, intersection_point( skol3, skol4 ) ), skol1 )
% 244.46/244.83 , distinct_lines( skol2, parallel_through_point( X, intersection_point(
% 244.46/244.83 skol3, skol4 ) ) ) }.
% 244.46/244.83 parent0: (81914) {G4,W14,D4,L2,V2,M2} { distinct_lines(
% 244.46/244.83 parallel_through_point( X, intersection_point( skol3, skol4 ) ), skol1 )
% 244.46/244.83 , distinct_lines( skol2, parallel_through_point( Y, intersection_point(
% 244.46/244.83 skol3, skol4 ) ) ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := Y
% 244.46/244.83 Y := X
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 0
% 244.46/244.83 1 ==> 1
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81916) {G3,W14,D4,L2,V2,M2} { convergent_lines(
% 244.46/244.83 parallel_through_point( X, intersection_point( skol3, skol4 ) ), skol2 )
% 244.46/244.83 , distinct_lines( parallel_through_point( Y, intersection_point( skol3,
% 244.46/244.83 skol4 ) ), skol1 ) }.
% 244.46/244.83 parent0[1]: (121) {G2,W6,D2,L2,V2,M1} R(14,56) { convergent_lines( X, Y ),
% 244.46/244.83 ! distinct_lines( Y, X ) }.
% 244.46/244.83 parent1[1]: (70080) {G4,W14,D4,L2,V2,M1} R(2343,2264) { distinct_lines(
% 244.46/244.83 parallel_through_point( Y, intersection_point( skol3, skol4 ) ), skol1 )
% 244.46/244.83 , distinct_lines( skol2, parallel_through_point( X, intersection_point(
% 244.46/244.83 skol3, skol4 ) ) ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := parallel_through_point( X, intersection_point( skol3, skol4 ) )
% 244.46/244.83 Y := skol2
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (81547) {G5,W14,D4,L2,V2,M1} R(70080,121) { convergent_lines(
% 244.46/244.83 parallel_through_point( Y, intersection_point( skol3, skol4 ) ), skol2 )
% 244.46/244.83 , distinct_lines( parallel_through_point( X, intersection_point( skol3,
% 244.46/244.83 skol4 ) ), skol1 ) }.
% 244.46/244.83 parent0: (81916) {G3,W14,D4,L2,V2,M2} { convergent_lines(
% 244.46/244.83 parallel_through_point( X, intersection_point( skol3, skol4 ) ), skol2 )
% 244.46/244.83 , distinct_lines( parallel_through_point( Y, intersection_point( skol3,
% 244.46/244.83 skol4 ) ), skol1 ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := Y
% 244.46/244.83 Y := X
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 0
% 244.46/244.83 1 ==> 1
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81917) {G3,W14,D4,L2,V2,M2} { convergent_lines( skol1,
% 244.46/244.83 parallel_through_point( X, intersection_point( skol3, skol4 ) ) ),
% 244.46/244.83 convergent_lines( parallel_through_point( Y, intersection_point( skol3,
% 244.46/244.83 skol4 ) ), skol2 ) }.
% 244.46/244.83 parent0[1]: (121) {G2,W6,D2,L2,V2,M1} R(14,56) { convergent_lines( X, Y ),
% 244.46/244.83 ! distinct_lines( Y, X ) }.
% 244.46/244.83 parent1[1]: (81547) {G5,W14,D4,L2,V2,M1} R(70080,121) { convergent_lines(
% 244.46/244.83 parallel_through_point( Y, intersection_point( skol3, skol4 ) ), skol2 )
% 244.46/244.83 , distinct_lines( parallel_through_point( X, intersection_point( skol3,
% 244.46/244.83 skol4 ) ), skol1 ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := skol1
% 244.46/244.83 Y := parallel_through_point( X, intersection_point( skol3, skol4 ) )
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := X
% 244.46/244.83 Y := Y
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (81549) {G6,W14,D4,L2,V2,M1} R(81547,121) { convergent_lines(
% 244.46/244.83 parallel_through_point( X, intersection_point( skol3, skol4 ) ), skol2 )
% 244.46/244.83 , convergent_lines( skol1, parallel_through_point( Y, intersection_point
% 244.46/244.83 ( skol3, skol4 ) ) ) }.
% 244.46/244.83 parent0: (81917) {G3,W14,D4,L2,V2,M2} { convergent_lines( skol1,
% 244.46/244.83 parallel_through_point( X, intersection_point( skol3, skol4 ) ) ),
% 244.46/244.83 convergent_lines( parallel_through_point( Y, intersection_point( skol3,
% 244.46/244.83 skol4 ) ), skol2 ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := Y
% 244.46/244.83 Y := X
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 1
% 244.46/244.83 1 ==> 0
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81918) {G7,W7,D4,L1,V1,M1} { convergent_lines(
% 244.46/244.83 parallel_through_point( U, intersection_point( skol3, skol4 ) ), skol2 )
% 244.46/244.83 }.
% 244.46/244.83 parent0[0]: (26859) {G9,W13,D7,L1,V6,M1} R(26099,368) { ! convergent_lines
% 244.46/244.83 ( X, parallel_through_point( parallel_through_point(
% 244.46/244.83 orthogonal_through_point( orthogonal_through_point(
% 244.46/244.83 parallel_through_point( X, Y ), Z ), T ), U ), W ) ) }.
% 244.46/244.83 parent1[1]: (81549) {G6,W14,D4,L2,V2,M1} R(81547,121) { convergent_lines(
% 244.46/244.83 parallel_through_point( X, intersection_point( skol3, skol4 ) ), skol2 )
% 244.46/244.83 , convergent_lines( skol1, parallel_through_point( Y, intersection_point
% 244.46/244.83 ( skol3, skol4 ) ) ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := skol1
% 244.46/244.83 Y := X
% 244.46/244.83 Z := Y
% 244.46/244.83 T := Z
% 244.46/244.83 U := T
% 244.46/244.83 W := intersection_point( skol3, skol4 )
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := U
% 244.46/244.83 Y := parallel_through_point( orthogonal_through_point(
% 244.46/244.83 orthogonal_through_point( parallel_through_point( skol1, X ), Y ), Z ), T
% 244.46/244.83 )
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (81572) {G10,W7,D4,L1,V1,M1} R(81549,26859) { convergent_lines
% 244.46/244.83 ( parallel_through_point( X, intersection_point( skol3, skol4 ) ), skol2
% 244.46/244.83 ) }.
% 244.46/244.83 parent0: (81918) {G7,W7,D4,L1,V1,M1} { convergent_lines(
% 244.46/244.83 parallel_through_point( U, intersection_point( skol3, skol4 ) ), skol2 )
% 244.46/244.83 }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := Y
% 244.46/244.83 Y := Z
% 244.46/244.83 Z := T
% 244.46/244.83 T := U
% 244.46/244.83 U := X
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 0 ==> 0
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 resolution: (81919) {G10,W0,D0,L0,V0,M0} { }.
% 244.46/244.83 parent0[0]: (26861) {G9,W13,D7,L1,V6,M1} R(26099,363) { ! convergent_lines
% 244.46/244.83 ( parallel_through_point( parallel_through_point(
% 244.46/244.83 orthogonal_through_point( orthogonal_through_point(
% 244.46/244.83 parallel_through_point( X, Y ), Z ), T ), U ), W ), X ) }.
% 244.46/244.83 parent1[0]: (81572) {G10,W7,D4,L1,V1,M1} R(81549,26859) { convergent_lines
% 244.46/244.83 ( parallel_through_point( X, intersection_point( skol3, skol4 ) ), skol2
% 244.46/244.83 ) }.
% 244.46/244.83 substitution0:
% 244.46/244.83 X := skol2
% 244.46/244.83 Y := X
% 244.46/244.83 Z := Y
% 244.46/244.83 T := Z
% 244.46/244.83 U := T
% 244.46/244.83 W := intersection_point( skol3, skol4 )
% 244.46/244.83 end
% 244.46/244.83 substitution1:
% 244.46/244.83 X := parallel_through_point( orthogonal_through_point(
% 244.46/244.83 orthogonal_through_point( parallel_through_point( skol2, X ), Y ), Z ), T
% 244.46/244.83 )
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 subsumption: (81615) {G11,W0,D0,L0,V0,M0} R(81572,26861) { }.
% 244.46/244.83 parent0: (81919) {G10,W0,D0,L0,V0,M0} { }.
% 244.46/244.83 substitution0:
% 244.46/244.83 end
% 244.46/244.83 permutation0:
% 244.46/244.83 end
% 244.46/244.83
% 244.46/244.83 Proof check complete!
% 244.46/244.83
% 244.46/244.83 Memory use:
% 244.46/244.83
% 244.46/244.83 space for terms: 1161680
% 244.46/244.83 space for clauses: 3040631
% 244.46/244.83
% 244.46/244.83
% 244.46/244.83 clauses generated: 22197632
% 244.46/244.83 clauses kept: 81616
% 244.46/244.83 clauses selected: 24326
% 244.46/244.83 clauses deleted: 14589
% 244.46/244.83 clauses inuse deleted: 1738
% 244.46/244.83
% 244.46/244.83 subsentry: 169186389
% 244.46/244.83 literals s-matched: 71192286
% 244.46/244.83 literals matched: 71191425
% 244.46/244.83 full subsumption: 52259618
% 244.46/244.83
% 244.46/244.83 checksum: -1505077527
% 244.46/244.83
% 244.46/244.83
% 244.46/244.83 Bliksem ended
%------------------------------------------------------------------------------