TSTP Solution File: GEO191+3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO191+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 02:52:31 EDT 2022
% Result : Theorem 199.67s 200.05s
% Output : Refutation 199.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO191+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jun 18 06:07:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.26/1.63 *** allocated 10000 integers for termspace/termends
% 1.26/1.63 *** allocated 10000 integers for clauses
% 1.26/1.63 *** allocated 10000 integers for justifications
% 1.26/1.63 Bliksem 1.12
% 1.26/1.63
% 1.26/1.63
% 1.26/1.63 Automatic Strategy Selection
% 1.26/1.63
% 1.26/1.63
% 1.26/1.63 Clauses:
% 1.26/1.63
% 1.26/1.63 { ! distinct_points( X, X ) }.
% 1.26/1.63 { ! distinct_lines( X, X ) }.
% 1.26/1.63 { ! convergent_lines( X, X ) }.
% 1.26/1.63 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 1.26/1.63 ) }.
% 1.26/1.63 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 1.26/1.63 }.
% 1.26/1.63 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 1.26/1.63 , Z ) }.
% 1.26/1.63 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 1.26/1.63 , Y ) ) }.
% 1.26/1.63 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 1.26/1.63 , Y ) ) }.
% 1.26/1.63 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 1.26/1.63 , Y ), X ) }.
% 1.26/1.63 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 1.26/1.63 , Y ), Y ) }.
% 1.26/1.63 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 1.26/1.63 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.26/1.63 apart_point_and_line( Y, T ) }.
% 1.26/1.63 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 1.26/1.63 apart_point_and_line( Z, Y ) }.
% 1.26/1.63 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 1.26/1.63 apart_point_and_line( X, Z ) }.
% 1.26/1.63 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 1.26/1.63 Z ) }.
% 1.26/1.63 { ! distinct_lines( X, Y ), convergent_lines( X, Y ) }.
% 1.26/1.63 { ! convergent_lines( parallel_through_point( Y, X ), Y ) }.
% 1.26/1.63 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 1.26/1.63 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 1.26/1.63 apart_point_and_line( Z, Y ), convergent_lines( X, Y ) }.
% 1.26/1.63 { convergent_lines( X, Y ), unorthogonal_lines( X, Y ) }.
% 1.26/1.63 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Z )
% 1.26/1.63 , convergent_lines( Y, Z ) }.
% 1.26/1.63 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Z )
% 1.26/1.63 , unorthogonal_lines( Y, Z ) }.
% 1.26/1.63 { ! alpha1( X, Y ), convergent_lines( X, Y ) }.
% 1.26/1.63 { ! alpha1( X, Y ), unorthogonal_lines( X, Y ) }.
% 1.26/1.63 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Y )
% 1.26/1.63 }.
% 1.26/1.63 { ! unorthogonal_lines( orthogonal_through_point( Y, X ), Y ) }.
% 1.26/1.63 { ! apart_point_and_line( X, orthogonal_through_point( Y, X ) ) }.
% 1.26/1.63 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 1.26/1.63 apart_point_and_line( Z, Y ), unorthogonal_lines( X, T ),
% 1.26/1.63 unorthogonal_lines( Y, T ) }.
% 1.26/1.63 { convergent_lines( X, Y ), unorthogonal_lines( X, Y ) }.
% 1.26/1.63 { alpha2( X, Z ), convergent_lines( Z, Y ), ! convergent_lines( X, Y ), !
% 1.26/1.63 unorthogonal_lines( X, Y ) }.
% 1.26/1.63 { alpha2( X, Z ), unorthogonal_lines( Z, Y ), ! convergent_lines( X, Y ), !
% 1.26/1.63 unorthogonal_lines( X, Y ) }.
% 1.26/1.63 { ! alpha2( X, Y ), convergent_lines( Y, X ) }.
% 1.26/1.63 { ! alpha2( X, Y ), unorthogonal_lines( Y, X ) }.
% 1.26/1.63 { ! convergent_lines( Y, X ), ! unorthogonal_lines( Y, X ), alpha2( X, Y )
% 1.26/1.63 }.
% 1.26/1.63 { unorthogonal_lines( Z, X ), unorthogonal_lines( Z, Y ), !
% 1.26/1.63 convergent_lines( X, Y ) }.
% 1.26/1.63 { ! point( X ), ! point( Y ), ! distinct_points( X, Y ), line(
% 1.26/1.63 line_connecting( X, Y ) ) }.
% 1.26/1.63 { ! line( X ), ! line( Y ), ! convergent_lines( X, Y ), point(
% 1.26/1.63 intersection_point( X, Y ) ) }.
% 1.26/1.63 { ! line( X ), ! point( Y ), line( parallel_through_point( X, Y ) ) }.
% 1.26/1.63 { ! line( X ), ! point( Y ), line( orthogonal_through_point( X, Y ) ) }.
% 1.26/1.63 { ! equal_points( X, Y ), ! distinct_points( X, Y ) }.
% 1.26/1.63 { distinct_points( X, Y ), equal_points( X, Y ) }.
% 1.26/1.63 { ! equal_lines( X, Y ), ! distinct_lines( X, Y ) }.
% 1.26/1.63 { distinct_lines( X, Y ), equal_lines( X, Y ) }.
% 1.26/1.63 { ! parallel_lines( X, Y ), ! convergent_lines( X, Y ) }.
% 1.26/1.63 { convergent_lines( X, Y ), parallel_lines( X, Y ) }.
% 1.26/1.63 { ! incident_point_and_line( X, Y ), ! apart_point_and_line( X, Y ) }.
% 1.26/1.63 { apart_point_and_line( X, Y ), incident_point_and_line( X, Y ) }.
% 1.26/1.63 { ! orthogonal_lines( X, Y ), ! unorthogonal_lines( X, Y ) }.
% 1.26/1.63 { unorthogonal_lines( X, Y ), orthogonal_lines( X, Y ) }.
% 1.26/1.63 { convergent_lines( skol1, skol2 ) }.
% 1.26/1.63 { convergent_lines( skol3, skol4 ) }.
% 1.26/1.63 { apart_point_and_line( intersection_point( skol1, skol2 ), skol3 ),
% 1.26/1.63 apart_point_and_line( intersection_point( skol1, skol2 ), skol4 ) }.
% 1.26/1.63 { ! apart_point_and_line( intersection_point( skol3, skol4 ), skol1 ) }.
% 15.46/15.84 { ! apart_point_and_line( intersection_point( skol3, skol4 ), skol2 ) }.
% 15.46/15.84
% 15.46/15.84 percentage equality = 0.000000, percentage horn = 0.607843
% 15.46/15.84 This a non-horn, non-equality problem
% 15.46/15.84
% 15.46/15.84
% 15.46/15.84 Options Used:
% 15.46/15.84
% 15.46/15.84 useres = 1
% 15.46/15.84 useparamod = 0
% 15.46/15.84 useeqrefl = 0
% 15.46/15.84 useeqfact = 0
% 15.46/15.84 usefactor = 1
% 15.46/15.84 usesimpsplitting = 0
% 15.46/15.84 usesimpdemod = 0
% 15.46/15.84 usesimpres = 3
% 15.46/15.84
% 15.46/15.84 resimpinuse = 1000
% 15.46/15.84 resimpclauses = 20000
% 15.46/15.84 substype = standard
% 15.46/15.84 backwardsubs = 1
% 15.46/15.84 selectoldest = 5
% 15.46/15.84
% 15.46/15.84 litorderings [0] = split
% 15.46/15.84 litorderings [1] = liftord
% 15.46/15.84
% 15.46/15.84 termordering = none
% 15.46/15.84
% 15.46/15.84 litapriori = 1
% 15.46/15.84 termapriori = 0
% 15.46/15.84 litaposteriori = 0
% 15.46/15.84 termaposteriori = 0
% 15.46/15.84 demodaposteriori = 0
% 15.46/15.84 ordereqreflfact = 0
% 15.46/15.84
% 15.46/15.84 litselect = none
% 15.46/15.84
% 15.46/15.84 maxweight = 15
% 15.46/15.84 maxdepth = 30000
% 15.46/15.84 maxlength = 115
% 15.46/15.84 maxnrvars = 195
% 15.46/15.84 excuselevel = 1
% 15.46/15.84 increasemaxweight = 1
% 15.46/15.84
% 15.46/15.84 maxselected = 10000000
% 15.46/15.84 maxnrclauses = 10000000
% 15.46/15.84
% 15.46/15.84 showgenerated = 0
% 15.46/15.84 showkept = 0
% 15.46/15.84 showselected = 0
% 15.46/15.84 showdeleted = 0
% 15.46/15.84 showresimp = 1
% 15.46/15.84 showstatus = 2000
% 15.46/15.84
% 15.46/15.84 prologoutput = 0
% 15.46/15.84 nrgoals = 5000000
% 15.46/15.84 totalproof = 1
% 15.46/15.84
% 15.46/15.84 Symbols occurring in the translation:
% 15.46/15.84
% 15.46/15.84 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 15.46/15.84 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 15.46/15.84 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 15.46/15.84 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 15.46/15.84 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 15.46/15.84 distinct_points [36, 2] (w:1, o:52, a:1, s:1, b:0),
% 15.46/15.84 distinct_lines [37, 2] (w:1, o:53, a:1, s:1, b:0),
% 15.46/15.84 convergent_lines [38, 2] (w:1, o:51, a:1, s:1, b:0),
% 15.46/15.84 line_connecting [41, 2] (w:1, o:54, a:1, s:1, b:0),
% 15.46/15.84 apart_point_and_line [42, 2] (w:1, o:55, a:1, s:1, b:0),
% 15.46/15.84 intersection_point [43, 2] (w:1, o:56, a:1, s:1, b:0),
% 15.46/15.84 parallel_through_point [46, 2] (w:1, o:59, a:1, s:1, b:0),
% 15.46/15.84 unorthogonal_lines [49, 2] (w:1, o:60, a:1, s:1, b:0),
% 15.46/15.84 orthogonal_through_point [52, 2] (w:1, o:57, a:1, s:1, b:0),
% 15.46/15.84 point [54, 1] (w:1, o:25, a:1, s:1, b:0),
% 15.46/15.84 line [55, 1] (w:1, o:26, a:1, s:1, b:0),
% 15.46/15.84 equal_points [56, 2] (w:1, o:61, a:1, s:1, b:0),
% 15.46/15.84 equal_lines [57, 2] (w:1, o:62, a:1, s:1, b:0),
% 15.46/15.84 parallel_lines [58, 2] (w:1, o:63, a:1, s:1, b:0),
% 15.46/15.84 incident_point_and_line [59, 2] (w:1, o:64, a:1, s:1, b:0),
% 15.46/15.84 orthogonal_lines [60, 2] (w:1, o:58, a:1, s:1, b:0),
% 15.46/15.84 alpha1 [61, 2] (w:1, o:65, a:1, s:1, b:0),
% 15.46/15.84 alpha2 [62, 2] (w:1, o:66, a:1, s:1, b:0),
% 15.46/15.84 skol1 [63, 0] (w:1, o:16, a:1, s:1, b:0),
% 15.46/15.84 skol2 [64, 0] (w:1, o:17, a:1, s:1, b:0),
% 15.46/15.84 skol3 [65, 0] (w:1, o:18, a:1, s:1, b:0),
% 15.46/15.84 skol4 [66, 0] (w:1, o:19, a:1, s:1, b:0).
% 15.46/15.84
% 15.46/15.84
% 15.46/15.84 Starting Search:
% 15.46/15.84
% 15.46/15.84 *** allocated 15000 integers for clauses
% 15.46/15.84 *** allocated 22500 integers for clauses
% 15.46/15.84 *** allocated 33750 integers for clauses
% 15.46/15.84 *** allocated 15000 integers for termspace/termends
% 15.46/15.84 *** allocated 50625 integers for clauses
% 15.46/15.84 Resimplifying inuse:
% 15.46/15.84 Done
% 15.46/15.84
% 15.46/15.84 *** allocated 22500 integers for termspace/termends
% 15.46/15.84 *** allocated 75937 integers for clauses
% 15.46/15.84 *** allocated 33750 integers for termspace/termends
% 15.46/15.84 *** allocated 113905 integers for clauses
% 15.46/15.84
% 15.46/15.84 Intermediate Status:
% 15.46/15.84 Generated: 11771
% 15.46/15.84 Kept: 2006
% 15.46/15.84 Inuse: 304
% 15.46/15.84 Deleted: 2
% 15.46/15.84 Deletedinuse: 1
% 15.46/15.84
% 15.46/15.84 Resimplifying inuse:
% 15.46/15.84 Done
% 15.46/15.84
% 15.46/15.84 *** allocated 50625 integers for termspace/termends
% 15.46/15.84 *** allocated 170857 integers for clauses
% 15.46/15.84 Resimplifying inuse:
% 15.46/15.84 Done
% 15.46/15.84
% 15.46/15.84 *** allocated 75937 integers for termspace/termends
% 15.46/15.84
% 15.46/15.84 Intermediate Status:
% 15.46/15.84 Generated: 27922
% 15.46/15.84 Kept: 4117
% 15.46/15.84 Inuse: 548
% 15.46/15.84 Deleted: 4
% 15.46/15.84 Deletedinuse: 1
% 15.46/15.84
% 15.46/15.84 Resimplifying inuse:
% 15.46/15.84 Done
% 15.46/15.84
% 15.46/15.84 *** allocated 256285 integers for clauses
% 15.46/15.84 Resimplifying inuse:
% 15.46/15.84 Done
% 15.46/15.84
% 15.46/15.84 *** allocated 113905 integers for termspace/termends
% 15.46/15.84
% 15.46/15.84 Intermediate Status:
% 15.46/15.84 Generated: 38189
% 15.46/15.84 Kept: 6148
% 15.46/15.84 Inuse: 745
% 15.46/15.84 Deleted: 6
% 15.46/15.84 Deletedinuse: 2
% 15.46/15.84
% 15.46/15.84 Resimplifying inuse:
% 15.46/15.84 Done
% 15.46/15.84
% 15.46/15.84 *** allocated 384427 integers for clauses
% 15.46/15.84 Resimplifying inuse:
% 15.46/15.84 Done
% 15.46/15.84
% 15.46/15.84
% 15.46/15.84 Intermediate Status:
% 15.46/15.84 Generated: 53349
% 15.46/15.84 Kept: 8148
% 15.46/15.84 Inuse: 872
% 15.46/15.84 Deleted: 6
% 15.46/15.84 Deletedinuse: 2
% 15.46/15.84
% 15.46/15.84 Resimplifying inuse:
% 15.46/15.84 Done
% 15.46/15.84
% 15.46/15.84 *** allocated 170857 integers for termspace/termends
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 64438
% 199.67/200.05 Kept: 10148
% 199.67/200.05 Inuse: 1014
% 199.67/200.05 Deleted: 6
% 199.67/200.05 Deletedinuse: 2
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 *** allocated 576640 integers for clauses
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 80932
% 199.67/200.05 Kept: 12681
% 199.67/200.05 Inuse: 1187
% 199.67/200.05 Deleted: 6
% 199.67/200.05 Deletedinuse: 2
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 *** allocated 256285 integers for termspace/termends
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 91673
% 199.67/200.05 Kept: 14908
% 199.67/200.05 Inuse: 1207
% 199.67/200.05 Deleted: 6
% 199.67/200.05 Deletedinuse: 2
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 *** allocated 864960 integers for clauses
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 104484
% 199.67/200.05 Kept: 16917
% 199.67/200.05 Inuse: 1231
% 199.67/200.05 Deleted: 6
% 199.67/200.05 Deletedinuse: 2
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 *** allocated 384427 integers for termspace/termends
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 118300
% 199.67/200.05 Kept: 19056
% 199.67/200.05 Inuse: 1312
% 199.67/200.05 Deleted: 6
% 199.67/200.05 Deletedinuse: 2
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 Resimplifying clauses:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 133894
% 199.67/200.05 Kept: 21059
% 199.67/200.05 Inuse: 1375
% 199.67/200.05 Deleted: 182
% 199.67/200.05 Deletedinuse: 2
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 161751
% 199.67/200.05 Kept: 23062
% 199.67/200.05 Inuse: 1477
% 199.67/200.05 Deleted: 182
% 199.67/200.05 Deletedinuse: 2
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 186711
% 199.67/200.05 Kept: 25081
% 199.67/200.05 Inuse: 1706
% 199.67/200.05 Deleted: 182
% 199.67/200.05 Deletedinuse: 2
% 199.67/200.05
% 199.67/200.05 *** allocated 1297440 integers for clauses
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 198422
% 199.67/200.05 Kept: 27102
% 199.67/200.05 Inuse: 1780
% 199.67/200.05 Deleted: 182
% 199.67/200.05 Deletedinuse: 2
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 *** allocated 576640 integers for termspace/termends
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 210147
% 199.67/200.05 Kept: 29149
% 199.67/200.05 Inuse: 1851
% 199.67/200.05 Deleted: 182
% 199.67/200.05 Deletedinuse: 2
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 239013
% 199.67/200.05 Kept: 31165
% 199.67/200.05 Inuse: 1945
% 199.67/200.05 Deleted: 182
% 199.67/200.05 Deletedinuse: 2
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 283475
% 199.67/200.05 Kept: 33177
% 199.67/200.05 Inuse: 2091
% 199.67/200.05 Deleted: 182
% 199.67/200.05 Deletedinuse: 2
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 308034
% 199.67/200.05 Kept: 35196
% 199.67/200.05 Inuse: 2206
% 199.67/200.05 Deleted: 394
% 199.67/200.05 Deletedinuse: 213
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 *** allocated 1946160 integers for clauses
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 348071
% 199.67/200.05 Kept: 37203
% 199.67/200.05 Inuse: 2336
% 199.67/200.05 Deleted: 395
% 199.67/200.05 Deletedinuse: 213
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 388795
% 199.67/200.05 Kept: 39551
% 199.67/200.05 Inuse: 2424
% 199.67/200.05 Deleted: 607
% 199.67/200.05 Deletedinuse: 424
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 Resimplifying clauses:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 400975
% 199.67/200.05 Kept: 41559
% 199.67/200.05 Inuse: 2442
% 199.67/200.05 Deleted: 7372
% 199.67/200.05 Deletedinuse: 424
% 199.67/200.05
% 199.67/200.05 *** allocated 864960 integers for termspace/termends
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 425392
% 199.67/200.05 Kept: 43564
% 199.67/200.05 Inuse: 2490
% 199.67/200.05 Deleted: 7372
% 199.67/200.05 Deletedinuse: 424
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 451995
% 199.67/200.05 Kept: 45772
% 199.67/200.05 Inuse: 2544
% 199.67/200.05 Deleted: 7372
% 199.67/200.05 Deletedinuse: 424
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 472769
% 199.67/200.05 Kept: 48479
% 199.67/200.05 Inuse: 2584
% 199.67/200.05 Deleted: 7489
% 199.67/200.05 Deletedinuse: 541
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 511219
% 199.67/200.05 Kept: 50502
% 199.67/200.05 Inuse: 2653
% 199.67/200.05 Deleted: 7491
% 199.67/200.05 Deletedinuse: 541
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 539681
% 199.67/200.05 Kept: 52516
% 199.67/200.05 Inuse: 2772
% 199.67/200.05 Deleted: 7609
% 199.67/200.05 Deletedinuse: 658
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 *** allocated 2919240 integers for clauses
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 565379
% 199.67/200.05 Kept: 54564
% 199.67/200.05 Inuse: 2869
% 199.67/200.05 Deleted: 7611
% 199.67/200.05 Deletedinuse: 658
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 602408
% 199.67/200.05 Kept: 56573
% 199.67/200.05 Inuse: 2938
% 199.67/200.05 Deleted: 7611
% 199.67/200.05 Deletedinuse: 658
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 650420
% 199.67/200.05 Kept: 59177
% 199.67/200.05 Inuse: 3068
% 199.67/200.05 Deleted: 7612
% 199.67/200.05 Deletedinuse: 658
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 Resimplifying clauses:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 711064
% 199.67/200.05 Kept: 61541
% 199.67/200.05 Inuse: 3168
% 199.67/200.05 Deleted: 12388
% 199.67/200.05 Deletedinuse: 658
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 *** allocated 1297440 integers for termspace/termends
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 772540
% 199.67/200.05 Kept: 63542
% 199.67/200.05 Inuse: 3294
% 199.67/200.05 Deleted: 12388
% 199.67/200.05 Deletedinuse: 658
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 829138
% 199.67/200.05 Kept: 65598
% 199.67/200.05 Inuse: 3598
% 199.67/200.05 Deleted: 12388
% 199.67/200.05 Deletedinuse: 658
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 901871
% 199.67/200.05 Kept: 67598
% 199.67/200.05 Inuse: 3776
% 199.67/200.05 Deleted: 12388
% 199.67/200.05 Deletedinuse: 658
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 1062804
% 199.67/200.05 Kept: 69600
% 199.67/200.05 Inuse: 4232
% 199.67/200.05 Deleted: 12388
% 199.67/200.05 Deletedinuse: 658
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 1264227
% 199.67/200.05 Kept: 71606
% 199.67/200.05 Inuse: 4701
% 199.67/200.05 Deleted: 12388
% 199.67/200.05 Deletedinuse: 658
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 2151972
% 199.67/200.05 Kept: 73626
% 199.67/200.05 Inuse: 6384
% 199.67/200.05 Deleted: 12388
% 199.67/200.05 Deletedinuse: 658
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 3038847
% 199.67/200.05 Kept: 75626
% 199.67/200.05 Inuse: 8345
% 199.67/200.05 Deleted: 12388
% 199.67/200.05 Deletedinuse: 658
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Intermediate Status:
% 199.67/200.05 Generated: 3689337
% 199.67/200.05 Kept: 77684
% 199.67/200.05 Inuse: 9622
% 199.67/200.05 Deleted: 12388
% 199.67/200.05 Deletedinuse: 658
% 199.67/200.05
% 199.67/200.05 *** allocated 4378860 integers for clauses
% 199.67/200.05 Resimplifying inuse:
% 199.67/200.05 Done
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Bliksems!, er is een bewijs:
% 199.67/200.05 % SZS status Theorem
% 199.67/200.05 % SZS output start Refutation
% 199.67/200.05
% 199.67/200.05 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 199.67/200.05 (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 199.67/200.05 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 199.67/200.05 , ! distinct_lines( X, Y ) }.
% 199.67/200.05 (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), convergent_lines( Y,
% 199.67/200.05 Z ), ! convergent_lines( X, Y ) }.
% 199.67/200.05 (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ), apart_point_and_line(
% 199.67/200.05 X, Z ), ! apart_point_and_line( X, Y ) }.
% 199.67/200.05 (14) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), ! distinct_lines( X
% 199.67/200.05 , Y ) }.
% 199.67/200.05 (15) {G0,W5,D3,L1,V2,M1} I { ! convergent_lines( parallel_through_point( Y
% 199.67/200.05 , X ), Y ) }.
% 199.67/200.05 (16) {G0,W5,D3,L1,V2,M1} I { ! apart_point_and_line( X,
% 199.67/200.05 parallel_through_point( Y, X ) ) }.
% 199.67/200.05 (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), unorthogonal_lines(
% 199.67/200.05 X, Y ) }.
% 199.67/200.05 (19) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 199.67/200.05 unorthogonal_lines( X, Y ), unorthogonal_lines( Y, Z ), alpha1( X, Z )
% 199.67/200.05 }.
% 199.67/200.05 (20) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), ! alpha1( X, Y ) }.
% 199.67/200.05 (21) {G0,W6,D2,L2,V2,M1} I { unorthogonal_lines( X, Y ), ! alpha1( X, Y )
% 199.67/200.05 }.
% 199.67/200.05 (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines( orthogonal_through_point
% 199.67/200.05 ( Y, X ), Y ) }.
% 199.67/200.05 (31) {G0,W9,D2,L3,V3,M2} I { ! convergent_lines( X, Y ), unorthogonal_lines
% 199.67/200.05 ( Z, X ), unorthogonal_lines( Z, Y ) }.
% 199.67/200.05 (48) {G0,W10,D3,L2,V0,M1} I { apart_point_and_line( intersection_point(
% 199.67/200.05 skol1, skol2 ), skol3 ), apart_point_and_line( intersection_point( skol1
% 199.67/200.05 , skol2 ), skol4 ) }.
% 199.67/200.05 (56) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 199.67/200.05 ( X, Y ) }.
% 199.67/200.05 (63) {G1,W8,D3,L2,V3,M2} R(5,15) { ! convergent_lines(
% 199.67/200.05 parallel_through_point( Y, Z ), X ), convergent_lines( X, Y ) }.
% 199.67/200.05 (67) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 199.67/200.05 convergent_lines( X, Y ) }.
% 199.67/200.05 (70) {G2,W5,D3,L1,V2,M1} R(67,15) { ! convergent_lines( X,
% 199.67/200.05 parallel_through_point( X, Y ) ) }.
% 199.67/200.05 (74) {G3,W8,D3,L2,V3,M2} R(70,5) { ! convergent_lines( X, Y ),
% 199.67/200.05 convergent_lines( X, parallel_through_point( Y, Z ) ) }.
% 199.67/200.05 (77) {G1,W5,D3,L1,V2,M1} R(17,23) { convergent_lines(
% 199.67/200.05 orthogonal_through_point( X, Y ), X ) }.
% 199.67/200.05 (113) {G2,W8,D3,L2,V3,M2} R(77,5) { convergent_lines( X, Z ),
% 199.67/200.05 convergent_lines( orthogonal_through_point( X, Y ), Z ) }.
% 199.67/200.05 (114) {G2,W6,D2,L2,V2,M1} R(14,56) { convergent_lines( X, Y ), !
% 199.67/200.05 distinct_lines( Y, X ) }.
% 199.67/200.05 (149) {G1,W8,D3,L2,V3,M1} R(12,16) { distinct_lines( X,
% 199.67/200.05 parallel_through_point( Y, Z ) ), ! apart_point_and_line( Z, X ) }.
% 199.67/200.05 (174) {G1,W12,D2,L4,V3,M2} R(19,20) { ! convergent_lines( X, Y ),
% 199.67/200.05 convergent_lines( X, Z ), ! unorthogonal_lines( X, Y ),
% 199.67/200.05 unorthogonal_lines( Y, Z ) }.
% 199.67/200.05 (175) {G1,W12,D2,L4,V3,M3} R(19,21) { ! convergent_lines( X, Y ),
% 199.67/200.05 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ), !
% 199.67/200.05 unorthogonal_lines( X, Y ) }.
% 199.67/200.05 (185) {G3,W8,D3,L2,V3,M2} R(113,67) { convergent_lines( Z, X ),
% 199.67/200.05 convergent_lines( orthogonal_through_point( X, Y ), Z ) }.
% 199.67/200.05 (202) {G4,W8,D3,L2,V3,M2} R(185,67) { convergent_lines( X,
% 199.67/200.05 orthogonal_through_point( Y, Z ) ), convergent_lines( X, Y ) }.
% 199.67/200.05 (273) {G1,W8,D3,L2,V3,M1} R(31,23) { ! convergent_lines( X, Y ),
% 199.67/200.05 unorthogonal_lines( orthogonal_through_point( Y, Z ), X ) }.
% 199.67/200.05 (369) {G4,W10,D3,L2,V4,M2} R(63,74) { ! convergent_lines(
% 199.67/200.05 parallel_through_point( Z, T ), X ), convergent_lines(
% 199.67/200.05 parallel_through_point( X, Y ), Z ) }.
% 199.67/200.05 (378) {G2,W8,D3,L2,V3,M2} R(63,67) { convergent_lines( X, Z ), !
% 199.67/200.05 convergent_lines( parallel_through_point( X, Y ), Z ) }.
% 199.67/200.05 (390) {G3,W8,D3,L2,V3,M2} R(378,67) { ! convergent_lines( Y,
% 199.67/200.05 parallel_through_point( X, Z ) ), convergent_lines( X, Y ) }.
% 199.67/200.05 (423) {G2,W12,D4,L2,V1,M1} R(48,149) { distinct_lines( skol4,
% 199.67/200.05 parallel_through_point( X, intersection_point( skol1, skol2 ) ) ),
% 199.67/200.05 apart_point_and_line( intersection_point( skol1, skol2 ), skol3 ) }.
% 199.67/200.05 (3102) {G5,W8,D3,L2,V3,M1} R(174,23);r(202) { convergent_lines( X, Y ), !
% 199.67/200.05 unorthogonal_lines( X, orthogonal_through_point( Y, Z ) ) }.
% 199.67/200.05 (3121) {G2,W15,D2,L5,V4,M3} R(175,31) { ! convergent_lines( X, Y ), !
% 199.67/200.05 convergent_lines( Y, T ), unorthogonal_lines( Y, Z ), unorthogonal_lines
% 199.67/200.05 ( X, T ), unorthogonal_lines( X, Z ) }.
% 199.67/200.05 (3132) {G3,W9,D2,L3,V3,M2} F(3121);r(17) { ! convergent_lines( X, Y ),
% 199.67/200.05 unorthogonal_lines( X, Z ), unorthogonal_lines( Y, Z ) }.
% 199.67/200.05 (3312) {G6,W10,D3,L2,V4,M2} R(3102,273) { ! convergent_lines(
% 199.67/200.05 orthogonal_through_point( Z, T ), X ), convergent_lines(
% 199.67/200.05 orthogonal_through_point( X, Y ), Z ) }.
% 199.67/200.05 (4240) {G4,W8,D3,L2,V3,M1} R(3132,23) { ! convergent_lines(
% 199.67/200.05 orthogonal_through_point( X, Y ), Z ), unorthogonal_lines( Z, X ) }.
% 199.67/200.05 (4247) {G5,W7,D3,L1,V3,M1} R(4240,23) { ! convergent_lines(
% 199.67/200.05 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ) }.
% 199.67/200.05 (9132) {G3,W14,D4,L2,V2,M2} R(423,149) { distinct_lines( skol3,
% 199.67/200.05 parallel_through_point( Y, intersection_point( skol1, skol2 ) ) ),
% 199.67/200.05 distinct_lines( skol4, parallel_through_point( X, intersection_point(
% 199.67/200.05 skol1, skol2 ) ) ) }.
% 199.67/200.05 (26013) {G7,W7,D4,L1,V3,M1} R(3312,4247) { ! convergent_lines(
% 199.67/200.05 orthogonal_through_point( orthogonal_through_point( X, Y ), Z ), X ) }.
% 199.67/200.05 (26405) {G8,W9,D5,L1,V4,M1} R(26013,390) { ! convergent_lines( X,
% 199.67/200.05 parallel_through_point( orthogonal_through_point(
% 199.67/200.05 orthogonal_through_point( X, Y ), Z ), T ) ) }.
% 199.67/200.05 (27268) {G9,W13,D7,L1,V6,M1} R(26405,369) { ! convergent_lines(
% 199.67/200.05 parallel_through_point( parallel_through_point( orthogonal_through_point
% 199.67/200.05 ( orthogonal_through_point( parallel_through_point( X, Y ), Z ), T ), U )
% 199.67/200.05 , W ), X ) }.
% 199.67/200.05 (79358) {G4,W14,D4,L2,V2,M1} R(9132,114) { convergent_lines(
% 199.67/200.05 parallel_through_point( Y, intersection_point( skol1, skol2 ) ), skol3 )
% 199.67/200.05 , distinct_lines( skol4, parallel_through_point( X, intersection_point(
% 199.67/200.05 skol1, skol2 ) ) ) }.
% 199.67/200.05 (79362) {G5,W14,D4,L2,V2,M1} R(79358,114) { convergent_lines(
% 199.67/200.05 parallel_through_point( X, intersection_point( skol1, skol2 ) ), skol3 )
% 199.67/200.05 , convergent_lines( parallel_through_point( Y, intersection_point( skol1
% 199.67/200.05 , skol2 ) ), skol4 ) }.
% 199.67/200.05 (79388) {G10,W7,D4,L1,V1,M1} R(79362,27268) { convergent_lines(
% 199.67/200.05 parallel_through_point( X, intersection_point( skol1, skol2 ) ), skol3 )
% 199.67/200.05 }.
% 199.67/200.05 (79451) {G11,W0,D0,L0,V0,M0} R(79388,27268) { }.
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 % SZS output end Refutation
% 199.67/200.05 found a proof!
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Unprocessed initial clauses:
% 199.67/200.05
% 199.67/200.05 (79453) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 199.67/200.05 (79454) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 199.67/200.05 (79455) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 199.67/200.05 (79456) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points(
% 199.67/200.05 X, Z ), distinct_points( Y, Z ) }.
% 199.67/200.05 (79457) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X
% 199.67/200.05 , Z ), distinct_lines( Y, Z ) }.
% 199.67/200.05 (79458) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 199.67/200.05 ( X, Z ), convergent_lines( Y, Z ) }.
% 199.67/200.05 (79459) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 199.67/200.05 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 199.67/200.05 (79460) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 199.67/200.05 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 199.67/200.05 (79461) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 199.67/200.05 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 199.67/200.05 (79462) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 199.67/200.05 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 199.67/200.05 (79463) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 199.67/200.05 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 199.67/200.05 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 199.67/200.05 (79464) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 199.67/200.05 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 199.67/200.05 (79465) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 199.67/200.05 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 199.67/200.05 (79466) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines(
% 199.67/200.05 Y, Z ), convergent_lines( X, Z ) }.
% 199.67/200.05 (79467) {G0,W6,D2,L2,V2,M2} { ! distinct_lines( X, Y ), convergent_lines(
% 199.67/200.05 X, Y ) }.
% 199.67/200.05 (79468) {G0,W5,D3,L1,V2,M1} { ! convergent_lines( parallel_through_point(
% 199.67/200.05 Y, X ), Y ) }.
% 199.67/200.05 (79469) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 199.67/200.05 parallel_through_point( Y, X ) ) }.
% 199.67/200.05 (79470) {G0,W12,D2,L4,V3,M4} { ! distinct_lines( X, Y ),
% 199.67/200.05 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 199.67/200.05 convergent_lines( X, Y ) }.
% 199.67/200.05 (79471) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), unorthogonal_lines
% 199.67/200.05 ( X, Y ) }.
% 199.67/200.05 (79472) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 199.67/200.05 unorthogonal_lines( X, Y ), alpha1( X, Z ), convergent_lines( Y, Z ) }.
% 199.67/200.05 (79473) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 199.67/200.05 unorthogonal_lines( X, Y ), alpha1( X, Z ), unorthogonal_lines( Y, Z )
% 199.67/200.05 }.
% 199.67/200.05 (79474) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), convergent_lines( X, Y )
% 199.67/200.05 }.
% 199.67/200.05 (79475) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), unorthogonal_lines( X, Y )
% 199.67/200.05 }.
% 199.67/200.05 (79476) {G0,W9,D2,L3,V2,M3} { ! convergent_lines( X, Y ), !
% 199.67/200.05 unorthogonal_lines( X, Y ), alpha1( X, Y ) }.
% 199.67/200.05 (79477) {G0,W5,D3,L1,V2,M1} { ! unorthogonal_lines(
% 199.67/200.05 orthogonal_through_point( Y, X ), Y ) }.
% 199.67/200.05 (79478) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 199.67/200.05 orthogonal_through_point( Y, X ) ) }.
% 199.67/200.05 (79479) {G0,W15,D2,L5,V4,M5} { ! distinct_lines( X, Y ),
% 199.67/200.05 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 199.67/200.05 unorthogonal_lines( X, T ), unorthogonal_lines( Y, T ) }.
% 199.67/200.05 (79480) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), unorthogonal_lines
% 199.67/200.05 ( X, Y ) }.
% 199.67/200.05 (79481) {G0,W12,D2,L4,V3,M4} { alpha2( X, Z ), convergent_lines( Z, Y ), !
% 199.67/200.05 convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ) }.
% 199.67/200.05 (79482) {G0,W12,D2,L4,V3,M4} { alpha2( X, Z ), unorthogonal_lines( Z, Y )
% 199.67/200.05 , ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ) }.
% 199.67/200.05 (79483) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), convergent_lines( Y, X )
% 199.67/200.05 }.
% 199.67/200.05 (79484) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), unorthogonal_lines( Y, X )
% 199.67/200.05 }.
% 199.67/200.05 (79485) {G0,W9,D2,L3,V2,M3} { ! convergent_lines( Y, X ), !
% 199.67/200.05 unorthogonal_lines( Y, X ), alpha2( X, Y ) }.
% 199.67/200.05 (79486) {G0,W9,D2,L3,V3,M3} { unorthogonal_lines( Z, X ),
% 199.67/200.05 unorthogonal_lines( Z, Y ), ! convergent_lines( X, Y ) }.
% 199.67/200.05 (79487) {G0,W11,D3,L4,V2,M4} { ! point( X ), ! point( Y ), !
% 199.67/200.05 distinct_points( X, Y ), line( line_connecting( X, Y ) ) }.
% 199.67/200.05 (79488) {G0,W11,D3,L4,V2,M4} { ! line( X ), ! line( Y ), !
% 199.67/200.05 convergent_lines( X, Y ), point( intersection_point( X, Y ) ) }.
% 199.67/200.05 (79489) {G0,W8,D3,L3,V2,M3} { ! line( X ), ! point( Y ), line(
% 199.67/200.05 parallel_through_point( X, Y ) ) }.
% 199.67/200.05 (79490) {G0,W8,D3,L3,V2,M3} { ! line( X ), ! point( Y ), line(
% 199.67/200.05 orthogonal_through_point( X, Y ) ) }.
% 199.67/200.05 (79491) {G0,W6,D2,L2,V2,M2} { ! equal_points( X, Y ), ! distinct_points( X
% 199.67/200.05 , Y ) }.
% 199.67/200.05 (79492) {G0,W6,D2,L2,V2,M2} { distinct_points( X, Y ), equal_points( X, Y
% 199.67/200.05 ) }.
% 199.67/200.05 (79493) {G0,W6,D2,L2,V2,M2} { ! equal_lines( X, Y ), ! distinct_lines( X,
% 199.67/200.05 Y ) }.
% 199.67/200.05 (79494) {G0,W6,D2,L2,V2,M2} { distinct_lines( X, Y ), equal_lines( X, Y )
% 199.67/200.05 }.
% 199.67/200.05 (79495) {G0,W6,D2,L2,V2,M2} { ! parallel_lines( X, Y ), ! convergent_lines
% 199.67/200.05 ( X, Y ) }.
% 199.67/200.05 (79496) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), parallel_lines( X
% 199.67/200.05 , Y ) }.
% 199.67/200.05 (79497) {G0,W6,D2,L2,V2,M2} { ! incident_point_and_line( X, Y ), !
% 199.67/200.05 apart_point_and_line( X, Y ) }.
% 199.67/200.05 (79498) {G0,W6,D2,L2,V2,M2} { apart_point_and_line( X, Y ),
% 199.67/200.05 incident_point_and_line( X, Y ) }.
% 199.67/200.05 (79499) {G0,W6,D2,L2,V2,M2} { ! orthogonal_lines( X, Y ), !
% 199.67/200.05 unorthogonal_lines( X, Y ) }.
% 199.67/200.05 (79500) {G0,W6,D2,L2,V2,M2} { unorthogonal_lines( X, Y ), orthogonal_lines
% 199.67/200.05 ( X, Y ) }.
% 199.67/200.05 (79501) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 199.67/200.05 (79502) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol4 ) }.
% 199.67/200.05 (79503) {G0,W10,D3,L2,V0,M2} { apart_point_and_line( intersection_point(
% 199.67/200.05 skol1, skol2 ), skol3 ), apart_point_and_line( intersection_point( skol1
% 199.67/200.05 , skol2 ), skol4 ) }.
% 199.67/200.05 (79504) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( intersection_point(
% 199.67/200.05 skol3, skol4 ), skol1 ) }.
% 199.67/200.05 (79505) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( intersection_point(
% 199.67/200.05 skol3, skol4 ), skol2 ) }.
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Total Proof:
% 199.67/200.05
% 199.67/200.05 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 199.67/200.05 parent0: (79454) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 199.67/200.05 parent0: (79455) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 199.67/200.05 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 199.67/200.05 parent0: (79457) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 199.67/200.05 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := Z
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 2
% 199.67/200.05 1 ==> 0
% 199.67/200.05 2 ==> 1
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 199.67/200.05 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 199.67/200.05 parent0: (79458) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 199.67/200.05 convergent_lines( X, Z ), convergent_lines( Y, Z ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := Z
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 2
% 199.67/200.05 1 ==> 0
% 199.67/200.05 2 ==> 1
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 199.67/200.05 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 199.67/200.05 parent0: (79465) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 199.67/200.05 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := Z
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 2
% 199.67/200.05 1 ==> 0
% 199.67/200.05 2 ==> 1
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (14) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), !
% 199.67/200.05 distinct_lines( X, Y ) }.
% 199.67/200.05 parent0: (79467) {G0,W6,D2,L2,V2,M2} { ! distinct_lines( X, Y ),
% 199.67/200.05 convergent_lines( X, Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 1
% 199.67/200.05 1 ==> 0
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (15) {G0,W5,D3,L1,V2,M1} I { ! convergent_lines(
% 199.67/200.05 parallel_through_point( Y, X ), Y ) }.
% 199.67/200.05 parent0: (79468) {G0,W5,D3,L1,V2,M1} { ! convergent_lines(
% 199.67/200.05 parallel_through_point( Y, X ), Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (16) {G0,W5,D3,L1,V2,M1} I { ! apart_point_and_line( X,
% 199.67/200.05 parallel_through_point( Y, X ) ) }.
% 199.67/200.05 parent0: (79469) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 199.67/200.05 parallel_through_point( Y, X ) ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ),
% 199.67/200.05 unorthogonal_lines( X, Y ) }.
% 199.67/200.05 parent0: (79471) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ),
% 199.67/200.05 unorthogonal_lines( X, Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 1 ==> 1
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (19) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 199.67/200.05 unorthogonal_lines( X, Y ), unorthogonal_lines( Y, Z ), alpha1( X, Z )
% 199.67/200.05 }.
% 199.67/200.05 parent0: (79473) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 199.67/200.05 unorthogonal_lines( X, Y ), alpha1( X, Z ), unorthogonal_lines( Y, Z )
% 199.67/200.05 }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := Z
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 1 ==> 1
% 199.67/200.05 2 ==> 3
% 199.67/200.05 3 ==> 2
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (20) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), !
% 199.67/200.05 alpha1( X, Y ) }.
% 199.67/200.05 parent0: (79474) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), convergent_lines
% 199.67/200.05 ( X, Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 1
% 199.67/200.05 1 ==> 0
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (21) {G0,W6,D2,L2,V2,M1} I { unorthogonal_lines( X, Y ), !
% 199.67/200.05 alpha1( X, Y ) }.
% 199.67/200.05 parent0: (79475) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ),
% 199.67/200.05 unorthogonal_lines( X, Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 1
% 199.67/200.05 1 ==> 0
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 199.67/200.05 orthogonal_through_point( Y, X ), Y ) }.
% 199.67/200.05 parent0: (79477) {G0,W5,D3,L1,V2,M1} { ! unorthogonal_lines(
% 199.67/200.05 orthogonal_through_point( Y, X ), Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (31) {G0,W9,D2,L3,V3,M2} I { ! convergent_lines( X, Y ),
% 199.67/200.05 unorthogonal_lines( Z, X ), unorthogonal_lines( Z, Y ) }.
% 199.67/200.05 parent0: (79486) {G0,W9,D2,L3,V3,M3} { unorthogonal_lines( Z, X ),
% 199.67/200.05 unorthogonal_lines( Z, Y ), ! convergent_lines( X, Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := Z
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 1
% 199.67/200.05 1 ==> 2
% 199.67/200.05 2 ==> 0
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (48) {G0,W10,D3,L2,V0,M1} I { apart_point_and_line(
% 199.67/200.05 intersection_point( skol1, skol2 ), skol3 ), apart_point_and_line(
% 199.67/200.05 intersection_point( skol1, skol2 ), skol4 ) }.
% 199.67/200.05 parent0: (79503) {G0,W10,D3,L2,V0,M2} { apart_point_and_line(
% 199.67/200.05 intersection_point( skol1, skol2 ), skol3 ), apart_point_and_line(
% 199.67/200.05 intersection_point( skol1, skol2 ), skol4 ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 1 ==> 1
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79625) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 199.67/200.05 distinct_lines( X, Y ) }.
% 199.67/200.05 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 199.67/200.05 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 199.67/200.05 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := X
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (56) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 199.67/200.05 distinct_lines( X, Y ) }.
% 199.67/200.05 parent0: (79625) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 199.67/200.05 distinct_lines( X, Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := Y
% 199.67/200.05 Y := X
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 1
% 199.67/200.05 1 ==> 0
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79627) {G1,W8,D3,L2,V3,M2} { convergent_lines( Z, X ), !
% 199.67/200.05 convergent_lines( parallel_through_point( X, Y ), Z ) }.
% 199.67/200.05 parent0[0]: (15) {G0,W5,D3,L1,V2,M1} I { ! convergent_lines(
% 199.67/200.05 parallel_through_point( Y, X ), Y ) }.
% 199.67/200.05 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 199.67/200.05 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := Y
% 199.67/200.05 Y := X
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := parallel_through_point( X, Y )
% 199.67/200.05 Y := Z
% 199.67/200.05 Z := X
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (63) {G1,W8,D3,L2,V3,M2} R(5,15) { ! convergent_lines(
% 199.67/200.05 parallel_through_point( Y, Z ), X ), convergent_lines( X, Y ) }.
% 199.67/200.05 parent0: (79627) {G1,W8,D3,L2,V3,M2} { convergent_lines( Z, X ), !
% 199.67/200.05 convergent_lines( parallel_through_point( X, Y ), Z ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := Y
% 199.67/200.05 Y := Z
% 199.67/200.05 Z := X
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 1
% 199.67/200.05 1 ==> 0
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79629) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 199.67/200.05 convergent_lines( X, Y ) }.
% 199.67/200.05 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 199.67/200.05 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 199.67/200.05 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := X
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (67) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 199.67/200.05 convergent_lines( X, Y ) }.
% 199.67/200.05 parent0: (79629) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 199.67/200.05 convergent_lines( X, Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := Y
% 199.67/200.05 Y := X
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 1
% 199.67/200.05 1 ==> 0
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79631) {G1,W5,D3,L1,V2,M1} { ! convergent_lines( X,
% 199.67/200.05 parallel_through_point( X, Y ) ) }.
% 199.67/200.05 parent0[0]: (15) {G0,W5,D3,L1,V2,M1} I { ! convergent_lines(
% 199.67/200.05 parallel_through_point( Y, X ), Y ) }.
% 199.67/200.05 parent1[1]: (67) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 199.67/200.05 convergent_lines( X, Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := Y
% 199.67/200.05 Y := X
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := parallel_through_point( X, Y )
% 199.67/200.05 Y := X
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (70) {G2,W5,D3,L1,V2,M1} R(67,15) { ! convergent_lines( X,
% 199.67/200.05 parallel_through_point( X, Y ) ) }.
% 199.67/200.05 parent0: (79631) {G1,W5,D3,L1,V2,M1} { ! convergent_lines( X,
% 199.67/200.05 parallel_through_point( X, Y ) ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79633) {G1,W8,D3,L2,V3,M2} { convergent_lines( Z,
% 199.67/200.05 parallel_through_point( X, Y ) ), ! convergent_lines( Z, X ) }.
% 199.67/200.05 parent0[0]: (70) {G2,W5,D3,L1,V2,M1} R(67,15) { ! convergent_lines( X,
% 199.67/200.05 parallel_through_point( X, Y ) ) }.
% 199.67/200.05 parent1[1]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 199.67/200.05 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := Z
% 199.67/200.05 Y := X
% 199.67/200.05 Z := parallel_through_point( X, Y )
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (74) {G3,W8,D3,L2,V3,M2} R(70,5) { ! convergent_lines( X, Y )
% 199.67/200.05 , convergent_lines( X, parallel_through_point( Y, Z ) ) }.
% 199.67/200.05 parent0: (79633) {G1,W8,D3,L2,V3,M2} { convergent_lines( Z,
% 199.67/200.05 parallel_through_point( X, Y ) ), ! convergent_lines( Z, X ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := Y
% 199.67/200.05 Y := Z
% 199.67/200.05 Z := X
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 1
% 199.67/200.05 1 ==> 0
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79634) {G1,W5,D3,L1,V2,M1} { convergent_lines(
% 199.67/200.05 orthogonal_through_point( X, Y ), X ) }.
% 199.67/200.05 parent0[0]: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 199.67/200.05 orthogonal_through_point( Y, X ), Y ) }.
% 199.67/200.05 parent1[1]: (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ),
% 199.67/200.05 unorthogonal_lines( X, Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := Y
% 199.67/200.05 Y := X
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := orthogonal_through_point( X, Y )
% 199.67/200.05 Y := X
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (77) {G1,W5,D3,L1,V2,M1} R(17,23) { convergent_lines(
% 199.67/200.05 orthogonal_through_point( X, Y ), X ) }.
% 199.67/200.05 parent0: (79634) {G1,W5,D3,L1,V2,M1} { convergent_lines(
% 199.67/200.05 orthogonal_through_point( X, Y ), X ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79635) {G1,W8,D3,L2,V3,M2} { convergent_lines(
% 199.67/200.05 orthogonal_through_point( X, Y ), Z ), convergent_lines( X, Z ) }.
% 199.67/200.05 parent0[2]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 199.67/200.05 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 199.67/200.05 parent1[0]: (77) {G1,W5,D3,L1,V2,M1} R(17,23) { convergent_lines(
% 199.67/200.05 orthogonal_through_point( X, Y ), X ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := orthogonal_through_point( X, Y )
% 199.67/200.05 Y := X
% 199.67/200.05 Z := Z
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (113) {G2,W8,D3,L2,V3,M2} R(77,5) { convergent_lines( X, Z ),
% 199.67/200.05 convergent_lines( orthogonal_through_point( X, Y ), Z ) }.
% 199.67/200.05 parent0: (79635) {G1,W8,D3,L2,V3,M2} { convergent_lines(
% 199.67/200.05 orthogonal_through_point( X, Y ), Z ), convergent_lines( X, Z ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := Z
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 1
% 199.67/200.05 1 ==> 0
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79636) {G1,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), !
% 199.67/200.05 distinct_lines( Y, X ) }.
% 199.67/200.05 parent0[1]: (14) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), !
% 199.67/200.05 distinct_lines( X, Y ) }.
% 199.67/200.05 parent1[1]: (56) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 199.67/200.05 distinct_lines( X, Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (114) {G2,W6,D2,L2,V2,M1} R(14,56) { convergent_lines( X, Y )
% 199.67/200.05 , ! distinct_lines( Y, X ) }.
% 199.67/200.05 parent0: (79636) {G1,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), !
% 199.67/200.05 distinct_lines( Y, X ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 1 ==> 1
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79637) {G1,W8,D3,L2,V3,M2} { distinct_lines( Z,
% 199.67/200.05 parallel_through_point( Y, X ) ), ! apart_point_and_line( X, Z ) }.
% 199.67/200.05 parent0[0]: (16) {G0,W5,D3,L1,V2,M1} I { ! apart_point_and_line( X,
% 199.67/200.05 parallel_through_point( Y, X ) ) }.
% 199.67/200.05 parent1[1]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 199.67/200.05 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Z
% 199.67/200.05 Z := parallel_through_point( Y, X )
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (149) {G1,W8,D3,L2,V3,M1} R(12,16) { distinct_lines( X,
% 199.67/200.05 parallel_through_point( Y, Z ) ), ! apart_point_and_line( Z, X ) }.
% 199.67/200.05 parent0: (79637) {G1,W8,D3,L2,V3,M2} { distinct_lines( Z,
% 199.67/200.05 parallel_through_point( Y, X ) ), ! apart_point_and_line( X, Z ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := Z
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := X
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 1 ==> 1
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79639) {G1,W12,D2,L4,V3,M4} { convergent_lines( X, Y ), !
% 199.67/200.05 convergent_lines( X, Z ), ! unorthogonal_lines( X, Z ),
% 199.67/200.05 unorthogonal_lines( Z, Y ) }.
% 199.67/200.05 parent0[1]: (20) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), ! alpha1
% 199.67/200.05 ( X, Y ) }.
% 199.67/200.05 parent1[3]: (19) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 199.67/200.05 unorthogonal_lines( X, Y ), unorthogonal_lines( Y, Z ), alpha1( X, Z )
% 199.67/200.05 }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Z
% 199.67/200.05 Z := Y
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (174) {G1,W12,D2,L4,V3,M2} R(19,20) { ! convergent_lines( X, Y
% 199.67/200.05 ), convergent_lines( X, Z ), ! unorthogonal_lines( X, Y ),
% 199.67/200.05 unorthogonal_lines( Y, Z ) }.
% 199.67/200.05 parent0: (79639) {G1,W12,D2,L4,V3,M4} { convergent_lines( X, Y ), !
% 199.67/200.05 convergent_lines( X, Z ), ! unorthogonal_lines( X, Z ),
% 199.67/200.05 unorthogonal_lines( Z, Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Z
% 199.67/200.05 Z := Y
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 1
% 199.67/200.05 1 ==> 0
% 199.67/200.05 2 ==> 2
% 199.67/200.05 3 ==> 3
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79641) {G1,W12,D2,L4,V3,M4} { unorthogonal_lines( X, Y ), !
% 199.67/200.05 convergent_lines( X, Z ), ! unorthogonal_lines( X, Z ),
% 199.67/200.05 unorthogonal_lines( Z, Y ) }.
% 199.67/200.05 parent0[1]: (21) {G0,W6,D2,L2,V2,M1} I { unorthogonal_lines( X, Y ), !
% 199.67/200.05 alpha1( X, Y ) }.
% 199.67/200.05 parent1[3]: (19) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 199.67/200.05 unorthogonal_lines( X, Y ), unorthogonal_lines( Y, Z ), alpha1( X, Z )
% 199.67/200.05 }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Z
% 199.67/200.05 Z := Y
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (175) {G1,W12,D2,L4,V3,M3} R(19,21) { ! convergent_lines( X, Y
% 199.67/200.05 ), unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ), !
% 199.67/200.05 unorthogonal_lines( X, Y ) }.
% 199.67/200.05 parent0: (79641) {G1,W12,D2,L4,V3,M4} { unorthogonal_lines( X, Y ), !
% 199.67/200.05 convergent_lines( X, Z ), ! unorthogonal_lines( X, Z ),
% 199.67/200.05 unorthogonal_lines( Z, Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Z
% 199.67/200.05 Z := Y
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 2
% 199.67/200.05 1 ==> 0
% 199.67/200.05 2 ==> 3
% 199.67/200.05 3 ==> 1
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79643) {G2,W8,D3,L2,V3,M2} { convergent_lines( Y, X ),
% 199.67/200.05 convergent_lines( orthogonal_through_point( X, Z ), Y ) }.
% 199.67/200.05 parent0[0]: (67) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 199.67/200.05 convergent_lines( X, Y ) }.
% 199.67/200.05 parent1[0]: (113) {G2,W8,D3,L2,V3,M2} R(77,5) { convergent_lines( X, Z ),
% 199.67/200.05 convergent_lines( orthogonal_through_point( X, Y ), Z ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := Y
% 199.67/200.05 Y := X
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Z
% 199.67/200.05 Z := Y
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (185) {G3,W8,D3,L2,V3,M2} R(113,67) { convergent_lines( Z, X )
% 199.67/200.05 , convergent_lines( orthogonal_through_point( X, Y ), Z ) }.
% 199.67/200.05 parent0: (79643) {G2,W8,D3,L2,V3,M2} { convergent_lines( Y, X ),
% 199.67/200.05 convergent_lines( orthogonal_through_point( X, Z ), Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Z
% 199.67/200.05 Z := Y
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 1 ==> 1
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79646) {G2,W8,D3,L2,V3,M2} { convergent_lines( Z,
% 199.67/200.05 orthogonal_through_point( X, Y ) ), convergent_lines( Z, X ) }.
% 199.67/200.05 parent0[0]: (67) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 199.67/200.05 convergent_lines( X, Y ) }.
% 199.67/200.05 parent1[1]: (185) {G3,W8,D3,L2,V3,M2} R(113,67) { convergent_lines( Z, X )
% 199.67/200.05 , convergent_lines( orthogonal_through_point( X, Y ), Z ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := Z
% 199.67/200.05 Y := orthogonal_through_point( X, Y )
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := Z
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (202) {G4,W8,D3,L2,V3,M2} R(185,67) { convergent_lines( X,
% 199.67/200.05 orthogonal_through_point( Y, Z ) ), convergent_lines( X, Y ) }.
% 199.67/200.05 parent0: (79646) {G2,W8,D3,L2,V3,M2} { convergent_lines( Z,
% 199.67/200.05 orthogonal_through_point( X, Y ) ), convergent_lines( Z, X ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := Y
% 199.67/200.05 Y := Z
% 199.67/200.05 Z := X
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 1 ==> 1
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79648) {G1,W8,D3,L2,V3,M2} { ! convergent_lines( Z, X ),
% 199.67/200.05 unorthogonal_lines( orthogonal_through_point( X, Y ), Z ) }.
% 199.67/200.05 parent0[0]: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 199.67/200.05 orthogonal_through_point( Y, X ), Y ) }.
% 199.67/200.05 parent1[2]: (31) {G0,W9,D2,L3,V3,M2} I { ! convergent_lines( X, Y ),
% 199.67/200.05 unorthogonal_lines( Z, X ), unorthogonal_lines( Z, Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := Y
% 199.67/200.05 Y := X
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := Z
% 199.67/200.05 Y := X
% 199.67/200.05 Z := orthogonal_through_point( X, Y )
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (273) {G1,W8,D3,L2,V3,M1} R(31,23) { ! convergent_lines( X, Y
% 199.67/200.05 ), unorthogonal_lines( orthogonal_through_point( Y, Z ), X ) }.
% 199.67/200.05 parent0: (79648) {G1,W8,D3,L2,V3,M2} { ! convergent_lines( Z, X ),
% 199.67/200.05 unorthogonal_lines( orthogonal_through_point( X, Y ), Z ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := Y
% 199.67/200.05 Y := Z
% 199.67/200.05 Z := X
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 1 ==> 1
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79649) {G2,W10,D3,L2,V4,M2} { convergent_lines(
% 199.67/200.05 parallel_through_point( Z, T ), X ), ! convergent_lines(
% 199.67/200.05 parallel_through_point( X, Y ), Z ) }.
% 199.67/200.05 parent0[0]: (63) {G1,W8,D3,L2,V3,M2} R(5,15) { ! convergent_lines(
% 199.67/200.05 parallel_through_point( Y, Z ), X ), convergent_lines( X, Y ) }.
% 199.67/200.05 parent1[1]: (74) {G3,W8,D3,L2,V3,M2} R(70,5) { ! convergent_lines( X, Y ),
% 199.67/200.05 convergent_lines( X, parallel_through_point( Y, Z ) ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := parallel_through_point( Z, T )
% 199.67/200.05 Y := X
% 199.67/200.05 Z := Y
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := parallel_through_point( X, Y )
% 199.67/200.05 Y := Z
% 199.67/200.05 Z := T
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (369) {G4,W10,D3,L2,V4,M2} R(63,74) { ! convergent_lines(
% 199.67/200.05 parallel_through_point( Z, T ), X ), convergent_lines(
% 199.67/200.05 parallel_through_point( X, Y ), Z ) }.
% 199.67/200.05 parent0: (79649) {G2,W10,D3,L2,V4,M2} { convergent_lines(
% 199.67/200.05 parallel_through_point( Z, T ), X ), ! convergent_lines(
% 199.67/200.05 parallel_through_point( X, Y ), Z ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := Z
% 199.67/200.05 Y := T
% 199.67/200.05 Z := X
% 199.67/200.05 T := Y
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 1
% 199.67/200.05 1 ==> 0
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79651) {G2,W8,D3,L2,V3,M2} { convergent_lines( Y, X ), !
% 199.67/200.05 convergent_lines( parallel_through_point( Y, Z ), X ) }.
% 199.67/200.05 parent0[0]: (67) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 199.67/200.05 convergent_lines( X, Y ) }.
% 199.67/200.05 parent1[1]: (63) {G1,W8,D3,L2,V3,M2} R(5,15) { ! convergent_lines(
% 199.67/200.05 parallel_through_point( Y, Z ), X ), convergent_lines( X, Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := Y
% 199.67/200.05 Y := X
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := Z
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (378) {G2,W8,D3,L2,V3,M2} R(63,67) { convergent_lines( X, Z )
% 199.67/200.05 , ! convergent_lines( parallel_through_point( X, Y ), Z ) }.
% 199.67/200.05 parent0: (79651) {G2,W8,D3,L2,V3,M2} { convergent_lines( Y, X ), !
% 199.67/200.05 convergent_lines( parallel_through_point( Y, Z ), X ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := Z
% 199.67/200.05 Y := X
% 199.67/200.05 Z := Y
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 1 ==> 1
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79652) {G2,W8,D3,L2,V3,M2} { convergent_lines( X, Y ), !
% 199.67/200.05 convergent_lines( Y, parallel_through_point( X, Z ) ) }.
% 199.67/200.05 parent0[1]: (378) {G2,W8,D3,L2,V3,M2} R(63,67) { convergent_lines( X, Z ),
% 199.67/200.05 ! convergent_lines( parallel_through_point( X, Y ), Z ) }.
% 199.67/200.05 parent1[1]: (67) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 199.67/200.05 convergent_lines( X, Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Z
% 199.67/200.05 Z := Y
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := parallel_through_point( X, Z )
% 199.67/200.05 Y := Y
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (390) {G3,W8,D3,L2,V3,M2} R(378,67) { ! convergent_lines( Y,
% 199.67/200.05 parallel_through_point( X, Z ) ), convergent_lines( X, Y ) }.
% 199.67/200.05 parent0: (79652) {G2,W8,D3,L2,V3,M2} { convergent_lines( X, Y ), !
% 199.67/200.05 convergent_lines( Y, parallel_through_point( X, Z ) ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := Z
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 1
% 199.67/200.05 1 ==> 0
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79654) {G1,W12,D4,L2,V1,M2} { distinct_lines( skol4,
% 199.67/200.05 parallel_through_point( X, intersection_point( skol1, skol2 ) ) ),
% 199.67/200.05 apart_point_and_line( intersection_point( skol1, skol2 ), skol3 ) }.
% 199.67/200.05 parent0[1]: (149) {G1,W8,D3,L2,V3,M1} R(12,16) { distinct_lines( X,
% 199.67/200.05 parallel_through_point( Y, Z ) ), ! apart_point_and_line( Z, X ) }.
% 199.67/200.05 parent1[1]: (48) {G0,W10,D3,L2,V0,M1} I { apart_point_and_line(
% 199.67/200.05 intersection_point( skol1, skol2 ), skol3 ), apart_point_and_line(
% 199.67/200.05 intersection_point( skol1, skol2 ), skol4 ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := skol4
% 199.67/200.05 Y := X
% 199.67/200.05 Z := intersection_point( skol1, skol2 )
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (423) {G2,W12,D4,L2,V1,M1} R(48,149) { distinct_lines( skol4,
% 199.67/200.05 parallel_through_point( X, intersection_point( skol1, skol2 ) ) ),
% 199.67/200.05 apart_point_and_line( intersection_point( skol1, skol2 ), skol3 ) }.
% 199.67/200.05 parent0: (79654) {G1,W12,D4,L2,V1,M2} { distinct_lines( skol4,
% 199.67/200.05 parallel_through_point( X, intersection_point( skol1, skol2 ) ) ),
% 199.67/200.05 apart_point_and_line( intersection_point( skol1, skol2 ), skol3 ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 1 ==> 1
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79655) {G1,W13,D3,L3,V3,M3} { ! convergent_lines( Z,
% 199.67/200.05 orthogonal_through_point( X, Y ) ), convergent_lines( Z, X ), !
% 199.67/200.05 unorthogonal_lines( Z, orthogonal_through_point( X, Y ) ) }.
% 199.67/200.05 parent0[0]: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 199.67/200.05 orthogonal_through_point( Y, X ), Y ) }.
% 199.67/200.05 parent1[3]: (174) {G1,W12,D2,L4,V3,M2} R(19,20) { ! convergent_lines( X, Y
% 199.67/200.05 ), convergent_lines( X, Z ), ! unorthogonal_lines( X, Y ),
% 199.67/200.05 unorthogonal_lines( Y, Z ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := Y
% 199.67/200.05 Y := X
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := Z
% 199.67/200.05 Y := orthogonal_through_point( X, Y )
% 199.67/200.05 Z := X
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79656) {G2,W11,D3,L3,V3,M3} { convergent_lines( X, Y ), !
% 199.67/200.05 unorthogonal_lines( X, orthogonal_through_point( Y, Z ) ),
% 199.67/200.05 convergent_lines( X, Y ) }.
% 199.67/200.05 parent0[0]: (79655) {G1,W13,D3,L3,V3,M3} { ! convergent_lines( Z,
% 199.67/200.05 orthogonal_through_point( X, Y ) ), convergent_lines( Z, X ), !
% 199.67/200.05 unorthogonal_lines( Z, orthogonal_through_point( X, Y ) ) }.
% 199.67/200.05 parent1[0]: (202) {G4,W8,D3,L2,V3,M2} R(185,67) { convergent_lines( X,
% 199.67/200.05 orthogonal_through_point( Y, Z ) ), convergent_lines( X, Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := Y
% 199.67/200.05 Y := Z
% 199.67/200.05 Z := X
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := Z
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 factor: (79657) {G2,W8,D3,L2,V3,M2} { convergent_lines( X, Y ), !
% 199.67/200.05 unorthogonal_lines( X, orthogonal_through_point( Y, Z ) ) }.
% 199.67/200.05 parent0[0, 2]: (79656) {G2,W11,D3,L3,V3,M3} { convergent_lines( X, Y ), !
% 199.67/200.05 unorthogonal_lines( X, orthogonal_through_point( Y, Z ) ),
% 199.67/200.05 convergent_lines( X, Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := Z
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (3102) {G5,W8,D3,L2,V3,M1} R(174,23);r(202) { convergent_lines
% 199.67/200.05 ( X, Y ), ! unorthogonal_lines( X, orthogonal_through_point( Y, Z ) ) }.
% 199.67/200.05 parent0: (79657) {G2,W8,D3,L2,V3,M2} { convergent_lines( X, Y ), !
% 199.67/200.05 unorthogonal_lines( X, orthogonal_through_point( Y, Z ) ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := Z
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 1 ==> 1
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79658) {G1,W15,D2,L5,V4,M5} { ! convergent_lines( X, Y ),
% 199.67/200.05 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ), !
% 199.67/200.05 convergent_lines( Y, T ), unorthogonal_lines( X, T ) }.
% 199.67/200.05 parent0[3]: (175) {G1,W12,D2,L4,V3,M3} R(19,21) { ! convergent_lines( X, Y
% 199.67/200.05 ), unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ), !
% 199.67/200.05 unorthogonal_lines( X, Y ) }.
% 199.67/200.05 parent1[1]: (31) {G0,W9,D2,L3,V3,M2} I { ! convergent_lines( X, Y ),
% 199.67/200.05 unorthogonal_lines( Z, X ), unorthogonal_lines( Z, Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := Z
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := Y
% 199.67/200.05 Y := T
% 199.67/200.05 Z := X
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (3121) {G2,W15,D2,L5,V4,M3} R(175,31) { ! convergent_lines( X
% 199.67/200.05 , Y ), ! convergent_lines( Y, T ), unorthogonal_lines( Y, Z ),
% 199.67/200.05 unorthogonal_lines( X, T ), unorthogonal_lines( X, Z ) }.
% 199.67/200.05 parent0: (79658) {G1,W15,D2,L5,V4,M5} { ! convergent_lines( X, Y ),
% 199.67/200.05 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ), !
% 199.67/200.05 convergent_lines( Y, T ), unorthogonal_lines( X, T ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := Z
% 199.67/200.05 T := T
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 1 ==> 2
% 199.67/200.05 2 ==> 4
% 199.67/200.05 3 ==> 1
% 199.67/200.05 4 ==> 3
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 factor: (79673) {G2,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 199.67/200.05 convergent_lines( Y, Z ), unorthogonal_lines( Y, Z ), unorthogonal_lines
% 199.67/200.05 ( X, Z ) }.
% 199.67/200.05 parent0[3, 4]: (3121) {G2,W15,D2,L5,V4,M3} R(175,31) { ! convergent_lines(
% 199.67/200.05 X, Y ), ! convergent_lines( Y, T ), unorthogonal_lines( Y, Z ),
% 199.67/200.05 unorthogonal_lines( X, T ), unorthogonal_lines( X, Z ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := Z
% 199.67/200.05 T := Z
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79697) {G1,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ),
% 199.67/200.05 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ),
% 199.67/200.05 unorthogonal_lines( Y, Z ) }.
% 199.67/200.05 parent0[1]: (79673) {G2,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 199.67/200.05 convergent_lines( Y, Z ), unorthogonal_lines( Y, Z ), unorthogonal_lines
% 199.67/200.05 ( X, Z ) }.
% 199.67/200.05 parent1[0]: (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ),
% 199.67/200.05 unorthogonal_lines( X, Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := Z
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := Y
% 199.67/200.05 Y := Z
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 factor: (79701) {G1,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 199.67/200.05 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ) }.
% 199.67/200.05 parent0[1, 3]: (79697) {G1,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ),
% 199.67/200.05 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ),
% 199.67/200.05 unorthogonal_lines( Y, Z ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := Z
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (3132) {G3,W9,D2,L3,V3,M2} F(3121);r(17) { ! convergent_lines
% 199.67/200.05 ( X, Y ), unorthogonal_lines( X, Z ), unorthogonal_lines( Y, Z ) }.
% 199.67/200.05 parent0: (79701) {G1,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 199.67/200.05 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := Z
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 1 ==> 2
% 199.67/200.05 2 ==> 1
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79703) {G2,W10,D3,L2,V4,M2} { convergent_lines(
% 199.67/200.05 orthogonal_through_point( X, Y ), Z ), ! convergent_lines(
% 199.67/200.05 orthogonal_through_point( Z, T ), X ) }.
% 199.67/200.05 parent0[1]: (3102) {G5,W8,D3,L2,V3,M1} R(174,23);r(202) { convergent_lines
% 199.67/200.05 ( X, Y ), ! unorthogonal_lines( X, orthogonal_through_point( Y, Z ) ) }.
% 199.67/200.05 parent1[1]: (273) {G1,W8,D3,L2,V3,M1} R(31,23) { ! convergent_lines( X, Y )
% 199.67/200.05 , unorthogonal_lines( orthogonal_through_point( Y, Z ), X ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := orthogonal_through_point( X, Y )
% 199.67/200.05 Y := Z
% 199.67/200.05 Z := T
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := orthogonal_through_point( Z, T )
% 199.67/200.05 Y := X
% 199.67/200.05 Z := Y
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (3312) {G6,W10,D3,L2,V4,M2} R(3102,273) { ! convergent_lines(
% 199.67/200.05 orthogonal_through_point( Z, T ), X ), convergent_lines(
% 199.67/200.05 orthogonal_through_point( X, Y ), Z ) }.
% 199.67/200.05 parent0: (79703) {G2,W10,D3,L2,V4,M2} { convergent_lines(
% 199.67/200.05 orthogonal_through_point( X, Y ), Z ), ! convergent_lines(
% 199.67/200.05 orthogonal_through_point( Z, T ), X ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := Z
% 199.67/200.05 T := T
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 1
% 199.67/200.05 1 ==> 0
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79704) {G1,W8,D3,L2,V3,M2} { ! convergent_lines(
% 199.67/200.05 orthogonal_through_point( X, Y ), Z ), unorthogonal_lines( Z, X ) }.
% 199.67/200.05 parent0[0]: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 199.67/200.05 orthogonal_through_point( Y, X ), Y ) }.
% 199.67/200.05 parent1[1]: (3132) {G3,W9,D2,L3,V3,M2} F(3121);r(17) { ! convergent_lines(
% 199.67/200.05 X, Y ), unorthogonal_lines( X, Z ), unorthogonal_lines( Y, Z ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := Y
% 199.67/200.05 Y := X
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := orthogonal_through_point( X, Y )
% 199.67/200.05 Y := Z
% 199.67/200.05 Z := X
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (4240) {G4,W8,D3,L2,V3,M1} R(3132,23) { ! convergent_lines(
% 199.67/200.05 orthogonal_through_point( X, Y ), Z ), unorthogonal_lines( Z, X ) }.
% 199.67/200.05 parent0: (79704) {G1,W8,D3,L2,V3,M2} { ! convergent_lines(
% 199.67/200.05 orthogonal_through_point( X, Y ), Z ), unorthogonal_lines( Z, X ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := Z
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 1 ==> 1
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79706) {G1,W7,D3,L1,V3,M1} { ! convergent_lines(
% 199.67/200.05 orthogonal_through_point( X, Z ), orthogonal_through_point( X, Y ) ) }.
% 199.67/200.05 parent0[0]: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 199.67/200.05 orthogonal_through_point( Y, X ), Y ) }.
% 199.67/200.05 parent1[1]: (4240) {G4,W8,D3,L2,V3,M1} R(3132,23) { ! convergent_lines(
% 199.67/200.05 orthogonal_through_point( X, Y ), Z ), unorthogonal_lines( Z, X ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := Y
% 199.67/200.05 Y := X
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Z
% 199.67/200.05 Z := orthogonal_through_point( X, Y )
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (4247) {G5,W7,D3,L1,V3,M1} R(4240,23) { ! convergent_lines(
% 199.67/200.05 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ) }.
% 199.67/200.05 parent0: (79706) {G1,W7,D3,L1,V3,M1} { ! convergent_lines(
% 199.67/200.05 orthogonal_through_point( X, Z ), orthogonal_through_point( X, Y ) ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Z
% 199.67/200.05 Z := Y
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79707) {G2,W14,D4,L2,V2,M2} { distinct_lines( skol3,
% 199.67/200.05 parallel_through_point( X, intersection_point( skol1, skol2 ) ) ),
% 199.67/200.05 distinct_lines( skol4, parallel_through_point( Y, intersection_point(
% 199.67/200.05 skol1, skol2 ) ) ) }.
% 199.67/200.05 parent0[1]: (149) {G1,W8,D3,L2,V3,M1} R(12,16) { distinct_lines( X,
% 199.67/200.05 parallel_through_point( Y, Z ) ), ! apart_point_and_line( Z, X ) }.
% 199.67/200.05 parent1[1]: (423) {G2,W12,D4,L2,V1,M1} R(48,149) { distinct_lines( skol4,
% 199.67/200.05 parallel_through_point( X, intersection_point( skol1, skol2 ) ) ),
% 199.67/200.05 apart_point_and_line( intersection_point( skol1, skol2 ), skol3 ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := skol3
% 199.67/200.05 Y := X
% 199.67/200.05 Z := intersection_point( skol1, skol2 )
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := Y
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (9132) {G3,W14,D4,L2,V2,M2} R(423,149) { distinct_lines( skol3
% 199.67/200.05 , parallel_through_point( Y, intersection_point( skol1, skol2 ) ) ),
% 199.67/200.05 distinct_lines( skol4, parallel_through_point( X, intersection_point(
% 199.67/200.05 skol1, skol2 ) ) ) }.
% 199.67/200.05 parent0: (79707) {G2,W14,D4,L2,V2,M2} { distinct_lines( skol3,
% 199.67/200.05 parallel_through_point( X, intersection_point( skol1, skol2 ) ) ),
% 199.67/200.05 distinct_lines( skol4, parallel_through_point( Y, intersection_point(
% 199.67/200.05 skol1, skol2 ) ) ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := Y
% 199.67/200.05 Y := X
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 1 ==> 1
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79708) {G6,W7,D4,L1,V3,M1} { ! convergent_lines(
% 199.67/200.05 orthogonal_through_point( orthogonal_through_point( X, Z ), T ), X ) }.
% 199.67/200.05 parent0[0]: (4247) {G5,W7,D3,L1,V3,M1} R(4240,23) { ! convergent_lines(
% 199.67/200.05 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ) }.
% 199.67/200.05 parent1[1]: (3312) {G6,W10,D3,L2,V4,M2} R(3102,273) { ! convergent_lines(
% 199.67/200.05 orthogonal_through_point( Z, T ), X ), convergent_lines(
% 199.67/200.05 orthogonal_through_point( X, Y ), Z ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := Z
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := orthogonal_through_point( X, Z )
% 199.67/200.05 T := T
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (26013) {G7,W7,D4,L1,V3,M1} R(3312,4247) { ! convergent_lines
% 199.67/200.05 ( orthogonal_through_point( orthogonal_through_point( X, Y ), Z ), X )
% 199.67/200.05 }.
% 199.67/200.05 parent0: (79708) {G6,W7,D4,L1,V3,M1} { ! convergent_lines(
% 199.67/200.05 orthogonal_through_point( orthogonal_through_point( X, Z ), T ), X ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := T
% 199.67/200.05 Z := Y
% 199.67/200.05 T := Z
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79709) {G4,W9,D5,L1,V4,M1} { ! convergent_lines( X,
% 199.67/200.05 parallel_through_point( orthogonal_through_point(
% 199.67/200.05 orthogonal_through_point( X, Y ), Z ), T ) ) }.
% 199.67/200.05 parent0[0]: (26013) {G7,W7,D4,L1,V3,M1} R(3312,4247) { ! convergent_lines(
% 199.67/200.05 orthogonal_through_point( orthogonal_through_point( X, Y ), Z ), X ) }.
% 199.67/200.05 parent1[1]: (390) {G3,W8,D3,L2,V3,M2} R(378,67) { ! convergent_lines( Y,
% 199.67/200.05 parallel_through_point( X, Z ) ), convergent_lines( X, Y ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := Z
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := orthogonal_through_point( orthogonal_through_point( X, Y ), Z )
% 199.67/200.05 Y := X
% 199.67/200.05 Z := T
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (26405) {G8,W9,D5,L1,V4,M1} R(26013,390) { ! convergent_lines
% 199.67/200.05 ( X, parallel_through_point( orthogonal_through_point(
% 199.67/200.05 orthogonal_through_point( X, Y ), Z ), T ) ) }.
% 199.67/200.05 parent0: (79709) {G4,W9,D5,L1,V4,M1} { ! convergent_lines( X,
% 199.67/200.05 parallel_through_point( orthogonal_through_point(
% 199.67/200.05 orthogonal_through_point( X, Y ), Z ), T ) ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := Z
% 199.67/200.05 T := T
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79710) {G5,W13,D7,L1,V6,M1} { ! convergent_lines(
% 199.67/200.05 parallel_through_point( parallel_through_point( orthogonal_through_point
% 199.67/200.05 ( orthogonal_through_point( parallel_through_point( X, Y ), Z ), T ), U )
% 199.67/200.05 , W ), X ) }.
% 199.67/200.05 parent0[0]: (26405) {G8,W9,D5,L1,V4,M1} R(26013,390) { ! convergent_lines(
% 199.67/200.05 X, parallel_through_point( orthogonal_through_point(
% 199.67/200.05 orthogonal_through_point( X, Y ), Z ), T ) ) }.
% 199.67/200.05 parent1[1]: (369) {G4,W10,D3,L2,V4,M2} R(63,74) { ! convergent_lines(
% 199.67/200.05 parallel_through_point( Z, T ), X ), convergent_lines(
% 199.67/200.05 parallel_through_point( X, Y ), Z ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := parallel_through_point( X, Y )
% 199.67/200.05 Y := Z
% 199.67/200.05 Z := T
% 199.67/200.05 T := U
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := parallel_through_point( orthogonal_through_point(
% 199.67/200.05 orthogonal_through_point( parallel_through_point( X, Y ), Z ), T ), U )
% 199.67/200.05 T := W
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (27268) {G9,W13,D7,L1,V6,M1} R(26405,369) { ! convergent_lines
% 199.67/200.05 ( parallel_through_point( parallel_through_point(
% 199.67/200.05 orthogonal_through_point( orthogonal_through_point(
% 199.67/200.05 parallel_through_point( X, Y ), Z ), T ), U ), W ), X ) }.
% 199.67/200.05 parent0: (79710) {G5,W13,D7,L1,V6,M1} { ! convergent_lines(
% 199.67/200.05 parallel_through_point( parallel_through_point( orthogonal_through_point
% 199.67/200.05 ( orthogonal_through_point( parallel_through_point( X, Y ), Z ), T ), U )
% 199.67/200.05 , W ), X ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 Z := Z
% 199.67/200.05 T := T
% 199.67/200.05 U := U
% 199.67/200.05 W := W
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79711) {G3,W14,D4,L2,V2,M2} { convergent_lines(
% 199.67/200.05 parallel_through_point( X, intersection_point( skol1, skol2 ) ), skol3 )
% 199.67/200.05 , distinct_lines( skol4, parallel_through_point( Y, intersection_point(
% 199.67/200.05 skol1, skol2 ) ) ) }.
% 199.67/200.05 parent0[1]: (114) {G2,W6,D2,L2,V2,M1} R(14,56) { convergent_lines( X, Y ),
% 199.67/200.05 ! distinct_lines( Y, X ) }.
% 199.67/200.05 parent1[0]: (9132) {G3,W14,D4,L2,V2,M2} R(423,149) { distinct_lines( skol3
% 199.67/200.05 , parallel_through_point( Y, intersection_point( skol1, skol2 ) ) ),
% 199.67/200.05 distinct_lines( skol4, parallel_through_point( X, intersection_point(
% 199.67/200.05 skol1, skol2 ) ) ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := parallel_through_point( X, intersection_point( skol1, skol2 ) )
% 199.67/200.05 Y := skol3
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := Y
% 199.67/200.05 Y := X
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (79358) {G4,W14,D4,L2,V2,M1} R(9132,114) { convergent_lines(
% 199.67/200.05 parallel_through_point( Y, intersection_point( skol1, skol2 ) ), skol3 )
% 199.67/200.05 , distinct_lines( skol4, parallel_through_point( X, intersection_point(
% 199.67/200.05 skol1, skol2 ) ) ) }.
% 199.67/200.05 parent0: (79711) {G3,W14,D4,L2,V2,M2} { convergent_lines(
% 199.67/200.05 parallel_through_point( X, intersection_point( skol1, skol2 ) ), skol3 )
% 199.67/200.05 , distinct_lines( skol4, parallel_through_point( Y, intersection_point(
% 199.67/200.05 skol1, skol2 ) ) ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := Y
% 199.67/200.05 Y := X
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 1 ==> 1
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79713) {G3,W14,D4,L2,V2,M2} { convergent_lines(
% 199.67/200.05 parallel_through_point( X, intersection_point( skol1, skol2 ) ), skol4 )
% 199.67/200.05 , convergent_lines( parallel_through_point( Y, intersection_point( skol1
% 199.67/200.05 , skol2 ) ), skol3 ) }.
% 199.67/200.05 parent0[1]: (114) {G2,W6,D2,L2,V2,M1} R(14,56) { convergent_lines( X, Y ),
% 199.67/200.05 ! distinct_lines( Y, X ) }.
% 199.67/200.05 parent1[1]: (79358) {G4,W14,D4,L2,V2,M1} R(9132,114) { convergent_lines(
% 199.67/200.05 parallel_through_point( Y, intersection_point( skol1, skol2 ) ), skol3 )
% 199.67/200.05 , distinct_lines( skol4, parallel_through_point( X, intersection_point(
% 199.67/200.05 skol1, skol2 ) ) ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := parallel_through_point( X, intersection_point( skol1, skol2 ) )
% 199.67/200.05 Y := skol4
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := X
% 199.67/200.05 Y := Y
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (79362) {G5,W14,D4,L2,V2,M1} R(79358,114) { convergent_lines(
% 199.67/200.05 parallel_through_point( X, intersection_point( skol1, skol2 ) ), skol3 )
% 199.67/200.05 , convergent_lines( parallel_through_point( Y, intersection_point( skol1
% 199.67/200.05 , skol2 ) ), skol4 ) }.
% 199.67/200.05 parent0: (79713) {G3,W14,D4,L2,V2,M2} { convergent_lines(
% 199.67/200.05 parallel_through_point( X, intersection_point( skol1, skol2 ) ), skol4 )
% 199.67/200.05 , convergent_lines( parallel_through_point( Y, intersection_point( skol1
% 199.67/200.05 , skol2 ) ), skol3 ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := Y
% 199.67/200.05 Y := X
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 1
% 199.67/200.05 1 ==> 0
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79715) {G6,W7,D4,L1,V1,M1} { convergent_lines(
% 199.67/200.05 parallel_through_point( U, intersection_point( skol1, skol2 ) ), skol3 )
% 199.67/200.05 }.
% 199.67/200.05 parent0[0]: (27268) {G9,W13,D7,L1,V6,M1} R(26405,369) { ! convergent_lines
% 199.67/200.05 ( parallel_through_point( parallel_through_point(
% 199.67/200.05 orthogonal_through_point( orthogonal_through_point(
% 199.67/200.05 parallel_through_point( X, Y ), Z ), T ), U ), W ), X ) }.
% 199.67/200.05 parent1[1]: (79362) {G5,W14,D4,L2,V2,M1} R(79358,114) { convergent_lines(
% 199.67/200.05 parallel_through_point( X, intersection_point( skol1, skol2 ) ), skol3 )
% 199.67/200.05 , convergent_lines( parallel_through_point( Y, intersection_point( skol1
% 199.67/200.05 , skol2 ) ), skol4 ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := skol4
% 199.67/200.05 Y := X
% 199.67/200.05 Z := Y
% 199.67/200.05 T := Z
% 199.67/200.05 U := T
% 199.67/200.05 W := intersection_point( skol1, skol2 )
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := U
% 199.67/200.05 Y := parallel_through_point( orthogonal_through_point(
% 199.67/200.05 orthogonal_through_point( parallel_through_point( skol4, X ), Y ), Z ), T
% 199.67/200.05 )
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (79388) {G10,W7,D4,L1,V1,M1} R(79362,27268) { convergent_lines
% 199.67/200.05 ( parallel_through_point( X, intersection_point( skol1, skol2 ) ), skol3
% 199.67/200.05 ) }.
% 199.67/200.05 parent0: (79715) {G6,W7,D4,L1,V1,M1} { convergent_lines(
% 199.67/200.05 parallel_through_point( U, intersection_point( skol1, skol2 ) ), skol3 )
% 199.67/200.05 }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := Y
% 199.67/200.05 Y := Z
% 199.67/200.05 Z := T
% 199.67/200.05 T := U
% 199.67/200.05 U := X
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 0 ==> 0
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 resolution: (79716) {G10,W0,D0,L0,V0,M0} { }.
% 199.67/200.05 parent0[0]: (27268) {G9,W13,D7,L1,V6,M1} R(26405,369) { ! convergent_lines
% 199.67/200.05 ( parallel_through_point( parallel_through_point(
% 199.67/200.05 orthogonal_through_point( orthogonal_through_point(
% 199.67/200.05 parallel_through_point( X, Y ), Z ), T ), U ), W ), X ) }.
% 199.67/200.05 parent1[0]: (79388) {G10,W7,D4,L1,V1,M1} R(79362,27268) { convergent_lines
% 199.67/200.05 ( parallel_through_point( X, intersection_point( skol1, skol2 ) ), skol3
% 199.67/200.05 ) }.
% 199.67/200.05 substitution0:
% 199.67/200.05 X := skol3
% 199.67/200.05 Y := X
% 199.67/200.05 Z := Y
% 199.67/200.05 T := Z
% 199.67/200.05 U := T
% 199.67/200.05 W := intersection_point( skol1, skol2 )
% 199.67/200.05 end
% 199.67/200.05 substitution1:
% 199.67/200.05 X := parallel_through_point( orthogonal_through_point(
% 199.67/200.05 orthogonal_through_point( parallel_through_point( skol3, X ), Y ), Z ), T
% 199.67/200.05 )
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 subsumption: (79451) {G11,W0,D0,L0,V0,M0} R(79388,27268) { }.
% 199.67/200.05 parent0: (79716) {G10,W0,D0,L0,V0,M0} { }.
% 199.67/200.05 substitution0:
% 199.67/200.05 end
% 199.67/200.05 permutation0:
% 199.67/200.05 end
% 199.67/200.05
% 199.67/200.05 Proof check complete!
% 199.67/200.05
% 199.67/200.05 Memory use:
% 199.67/200.05
% 199.67/200.05 space for terms: 1128855
% 199.67/200.05 space for clauses: 2969695
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 clauses generated: 21874766
% 199.67/200.05 clauses kept: 79452
% 199.67/200.05 clauses selected: 22932
% 199.67/200.05 clauses deleted: 12390
% 199.67/200.05 clauses inuse deleted: 658
% 199.67/200.05
% 199.67/200.05 subsentry: 140666618
% 199.67/200.05 literals s-matched: 55966961
% 199.67/200.05 literals matched: 55966111
% 199.67/200.05 full subsumption: 39663569
% 199.67/200.05
% 199.67/200.05 checksum: 676209984
% 199.67/200.05
% 199.67/200.05
% 199.67/200.05 Bliksem ended
%------------------------------------------------------------------------------