TSTP Solution File: GEO218+3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO218+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 02:52:54 EDT 2022
% Result : Theorem 25.55s 25.97s
% Output : Refutation 25.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO218+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n010.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 04:17:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.55/1.94 *** allocated 10000 integers for termspace/termends
% 1.55/1.94 *** allocated 10000 integers for clauses
% 1.55/1.94 *** allocated 10000 integers for justifications
% 1.55/1.94 Bliksem 1.12
% 1.55/1.94
% 1.55/1.94
% 1.55/1.94 Automatic Strategy Selection
% 1.55/1.94
% 1.55/1.94
% 1.55/1.94 Clauses:
% 1.55/1.94
% 1.55/1.94 { ! distinct_points( X, X ) }.
% 1.55/1.94 { ! distinct_lines( X, X ) }.
% 1.55/1.94 { ! convergent_lines( X, X ) }.
% 1.55/1.94 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 1.55/1.94 ) }.
% 1.55/1.94 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 1.55/1.94 }.
% 1.55/1.94 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 1.55/1.94 , Z ) }.
% 1.55/1.94 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 1.55/1.94 , Y ) ) }.
% 1.55/1.94 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 1.55/1.94 , Y ) ) }.
% 1.55/1.94 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 1.55/1.94 , Y ), X ) }.
% 1.55/1.94 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 1.55/1.94 , Y ), Y ) }.
% 1.55/1.94 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 1.55/1.94 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.55/1.94 apart_point_and_line( Y, T ) }.
% 1.55/1.94 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 1.55/1.94 apart_point_and_line( Z, Y ) }.
% 1.55/1.94 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 1.55/1.94 apart_point_and_line( X, Z ) }.
% 1.55/1.94 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 1.55/1.94 Z ) }.
% 1.55/1.94 { ! distinct_lines( X, Y ), convergent_lines( X, Y ) }.
% 1.55/1.94 { ! convergent_lines( parallel_through_point( Y, X ), Y ) }.
% 1.55/1.94 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 1.55/1.94 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 1.55/1.94 apart_point_and_line( Z, Y ), convergent_lines( X, Y ) }.
% 1.55/1.94 { convergent_lines( X, Y ), unorthogonal_lines( X, Y ) }.
% 1.55/1.94 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Z )
% 1.55/1.94 , convergent_lines( Y, Z ) }.
% 1.55/1.94 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Z )
% 1.55/1.94 , unorthogonal_lines( Y, Z ) }.
% 1.55/1.94 { ! alpha1( X, Y ), convergent_lines( X, Y ) }.
% 1.55/1.94 { ! alpha1( X, Y ), unorthogonal_lines( X, Y ) }.
% 1.55/1.94 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Y )
% 1.55/1.94 }.
% 1.55/1.94 { ! unorthogonal_lines( orthogonal_through_point( Y, X ), Y ) }.
% 1.55/1.94 { ! apart_point_and_line( X, orthogonal_through_point( Y, X ) ) }.
% 1.55/1.94 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 1.55/1.94 apart_point_and_line( Z, Y ), unorthogonal_lines( X, T ),
% 1.55/1.94 unorthogonal_lines( Y, T ) }.
% 1.55/1.94 { convergent_lines( X, Y ), unorthogonal_lines( X, Y ) }.
% 1.55/1.94 { alpha2( X, Z ), convergent_lines( Z, Y ), ! convergent_lines( X, Y ), !
% 1.55/1.94 unorthogonal_lines( X, Y ) }.
% 1.55/1.94 { alpha2( X, Z ), unorthogonal_lines( Z, Y ), ! convergent_lines( X, Y ), !
% 1.55/1.94 unorthogonal_lines( X, Y ) }.
% 1.55/1.94 { ! alpha2( X, Y ), convergent_lines( Y, X ) }.
% 1.55/1.94 { ! alpha2( X, Y ), unorthogonal_lines( Y, X ) }.
% 1.55/1.94 { ! convergent_lines( Y, X ), ! unorthogonal_lines( Y, X ), alpha2( X, Y )
% 1.55/1.94 }.
% 1.55/1.94 { unorthogonal_lines( Z, X ), unorthogonal_lines( Z, Y ), !
% 1.55/1.94 convergent_lines( X, Y ) }.
% 1.55/1.94 { ! point( X ), ! point( Y ), ! distinct_points( X, Y ), line(
% 1.55/1.94 line_connecting( X, Y ) ) }.
% 1.55/1.94 { ! line( X ), ! line( Y ), ! convergent_lines( X, Y ), point(
% 1.55/1.94 intersection_point( X, Y ) ) }.
% 1.55/1.94 { ! line( X ), ! point( Y ), line( parallel_through_point( X, Y ) ) }.
% 1.55/1.94 { ! line( X ), ! point( Y ), line( orthogonal_through_point( X, Y ) ) }.
% 1.55/1.94 { ! equal_points( X, Y ), ! distinct_points( X, Y ) }.
% 1.55/1.94 { distinct_points( X, Y ), equal_points( X, Y ) }.
% 1.55/1.94 { ! equal_lines( X, Y ), ! distinct_lines( X, Y ) }.
% 1.55/1.94 { distinct_lines( X, Y ), equal_lines( X, Y ) }.
% 1.55/1.94 { ! parallel_lines( X, Y ), ! convergent_lines( X, Y ) }.
% 1.55/1.94 { convergent_lines( X, Y ), parallel_lines( X, Y ) }.
% 1.55/1.94 { ! incident_point_and_line( X, Y ), ! apart_point_and_line( X, Y ) }.
% 1.55/1.94 { apart_point_and_line( X, Y ), incident_point_and_line( X, Y ) }.
% 1.55/1.94 { ! orthogonal_lines( X, Y ), ! unorthogonal_lines( X, Y ) }.
% 1.55/1.94 { unorthogonal_lines( X, Y ), orthogonal_lines( X, Y ) }.
% 1.55/1.94 { parallel_lines( skol3, skol1 ) }.
% 1.55/1.94 { orthogonal_lines( skol3, skol2 ) }.
% 1.55/1.94 { ! orthogonal_lines( skol1, skol2 ) }.
% 1.55/1.94
% 1.55/1.94 percentage equality = 0.000000, percentage horn = 0.612245
% 1.55/1.94 This a non-horn, non-equality problem
% 1.55/1.94
% 1.55/1.94
% 1.55/1.94 Options Used:
% 1.55/1.94
% 1.55/1.94 useres = 1
% 25.55/25.97 useparamod = 0
% 25.55/25.97 useeqrefl = 0
% 25.55/25.97 useeqfact = 0
% 25.55/25.97 usefactor = 1
% 25.55/25.97 usesimpsplitting = 0
% 25.55/25.97 usesimpdemod = 0
% 25.55/25.97 usesimpres = 3
% 25.55/25.97
% 25.55/25.97 resimpinuse = 1000
% 25.55/25.97 resimpclauses = 20000
% 25.55/25.97 substype = standard
% 25.55/25.97 backwardsubs = 1
% 25.55/25.97 selectoldest = 5
% 25.55/25.97
% 25.55/25.97 litorderings [0] = split
% 25.55/25.97 litorderings [1] = liftord
% 25.55/25.97
% 25.55/25.97 termordering = none
% 25.55/25.97
% 25.55/25.97 litapriori = 1
% 25.55/25.97 termapriori = 0
% 25.55/25.97 litaposteriori = 0
% 25.55/25.97 termaposteriori = 0
% 25.55/25.97 demodaposteriori = 0
% 25.55/25.97 ordereqreflfact = 0
% 25.55/25.97
% 25.55/25.97 litselect = none
% 25.55/25.97
% 25.55/25.97 maxweight = 15
% 25.55/25.97 maxdepth = 30000
% 25.55/25.97 maxlength = 115
% 25.55/25.97 maxnrvars = 195
% 25.55/25.97 excuselevel = 1
% 25.55/25.97 increasemaxweight = 1
% 25.55/25.97
% 25.55/25.97 maxselected = 10000000
% 25.55/25.97 maxnrclauses = 10000000
% 25.55/25.97
% 25.55/25.97 showgenerated = 0
% 25.55/25.97 showkept = 0
% 25.55/25.97 showselected = 0
% 25.55/25.97 showdeleted = 0
% 25.55/25.97 showresimp = 1
% 25.55/25.97 showstatus = 2000
% 25.55/25.97
% 25.55/25.97 prologoutput = 0
% 25.55/25.97 nrgoals = 5000000
% 25.55/25.97 totalproof = 1
% 25.55/25.97
% 25.55/25.97 Symbols occurring in the translation:
% 25.55/25.97
% 25.55/25.97 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 25.55/25.97 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 25.55/25.97 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 25.55/25.97 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 25.55/25.97 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 25.55/25.97 distinct_points [36, 2] (w:1, o:51, a:1, s:1, b:0),
% 25.55/25.97 distinct_lines [37, 2] (w:1, o:52, a:1, s:1, b:0),
% 25.55/25.97 convergent_lines [38, 2] (w:1, o:50, a:1, s:1, b:0),
% 25.55/25.97 line_connecting [41, 2] (w:1, o:53, a:1, s:1, b:0),
% 25.55/25.97 apart_point_and_line [42, 2] (w:1, o:54, a:1, s:1, b:0),
% 25.55/25.97 intersection_point [43, 2] (w:1, o:55, a:1, s:1, b:0),
% 25.55/25.97 parallel_through_point [46, 2] (w:1, o:58, a:1, s:1, b:0),
% 25.55/25.97 unorthogonal_lines [49, 2] (w:1, o:59, a:1, s:1, b:0),
% 25.55/25.97 orthogonal_through_point [52, 2] (w:1, o:56, a:1, s:1, b:0),
% 25.55/25.97 point [54, 1] (w:1, o:24, a:1, s:1, b:0),
% 25.55/25.97 line [55, 1] (w:1, o:25, a:1, s:1, b:0),
% 25.55/25.97 equal_points [56, 2] (w:1, o:60, a:1, s:1, b:0),
% 25.55/25.97 equal_lines [57, 2] (w:1, o:61, a:1, s:1, b:0),
% 25.55/25.97 parallel_lines [58, 2] (w:1, o:62, a:1, s:1, b:0),
% 25.55/25.97 incident_point_and_line [59, 2] (w:1, o:63, a:1, s:1, b:0),
% 25.55/25.97 orthogonal_lines [60, 2] (w:1, o:57, a:1, s:1, b:0),
% 25.55/25.97 alpha1 [61, 2] (w:1, o:64, a:1, s:1, b:0),
% 25.55/25.97 alpha2 [62, 2] (w:1, o:65, a:1, s:1, b:0),
% 25.55/25.97 skol1 [63, 0] (w:1, o:16, a:1, s:1, b:0),
% 25.55/25.97 skol2 [64, 0] (w:1, o:17, a:1, s:1, b:0),
% 25.55/25.97 skol3 [65, 0] (w:1, o:18, a:1, s:1, b:0).
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 Starting Search:
% 25.55/25.97
% 25.55/25.97 *** allocated 15000 integers for clauses
% 25.55/25.97 *** allocated 22500 integers for clauses
% 25.55/25.97 *** allocated 33750 integers for clauses
% 25.55/25.97 *** allocated 50625 integers for clauses
% 25.55/25.97 *** allocated 15000 integers for termspace/termends
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 *** allocated 22500 integers for termspace/termends
% 25.55/25.97 *** allocated 75937 integers for clauses
% 25.55/25.97 *** allocated 33750 integers for termspace/termends
% 25.55/25.97 *** allocated 113905 integers for clauses
% 25.55/25.97
% 25.55/25.97 Intermediate Status:
% 25.55/25.97 Generated: 13843
% 25.55/25.97 Kept: 2001
% 25.55/25.97 Inuse: 327
% 25.55/25.97 Deleted: 1
% 25.55/25.97 Deletedinuse: 0
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 *** allocated 50625 integers for termspace/termends
% 25.55/25.97 *** allocated 170857 integers for clauses
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 *** allocated 75937 integers for termspace/termends
% 25.55/25.97
% 25.55/25.97 Intermediate Status:
% 25.55/25.97 Generated: 33843
% 25.55/25.97 Kept: 4005
% 25.55/25.97 Inuse: 513
% 25.55/25.97 Deleted: 9
% 25.55/25.97 Deletedinuse: 2
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 *** allocated 256285 integers for clauses
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 *** allocated 113905 integers for termspace/termends
% 25.55/25.97
% 25.55/25.97 Intermediate Status:
% 25.55/25.97 Generated: 48815
% 25.55/25.97 Kept: 6012
% 25.55/25.97 Inuse: 691
% 25.55/25.97 Deleted: 20
% 25.55/25.97 Deletedinuse: 4
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 *** allocated 384427 integers for clauses
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 Intermediate Status:
% 25.55/25.97 Generated: 61678
% 25.55/25.97 Kept: 8049
% 25.55/25.97 Inuse: 836
% 25.55/25.97 Deleted: 20
% 25.55/25.97 Deletedinuse: 4
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 *** allocated 170857 integers for termspace/termends
% 25.55/25.97 *** allocated 576640 integers for clauses
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 Intermediate Status:
% 25.55/25.97 Generated: 71965
% 25.55/25.97 Kept: 10107
% 25.55/25.97 Inuse: 874
% 25.55/25.97 Deleted: 59
% 25.55/25.97 Deletedinuse: 43
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 Intermediate Status:
% 25.55/25.97 Generated: 84947
% 25.55/25.97 Kept: 12379
% 25.55/25.97 Inuse: 905
% 25.55/25.97 Deleted: 62
% 25.55/25.97 Deletedinuse: 46
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 *** allocated 256285 integers for termspace/termends
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 *** allocated 864960 integers for clauses
% 25.55/25.97
% 25.55/25.97 Intermediate Status:
% 25.55/25.97 Generated: 96213
% 25.55/25.97 Kept: 14379
% 25.55/25.97 Inuse: 950
% 25.55/25.97 Deleted: 64
% 25.55/25.97 Deletedinuse: 46
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 Intermediate Status:
% 25.55/25.97 Generated: 111666
% 25.55/25.97 Kept: 16397
% 25.55/25.97 Inuse: 1018
% 25.55/25.97 Deleted: 67
% 25.55/25.97 Deletedinuse: 46
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 Intermediate Status:
% 25.55/25.97 Generated: 126601
% 25.55/25.97 Kept: 18419
% 25.55/25.97 Inuse: 1075
% 25.55/25.97 Deleted: 71
% 25.55/25.97 Deletedinuse: 46
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 *** allocated 384427 integers for termspace/termends
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 Resimplifying clauses:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 Intermediate Status:
% 25.55/25.97 Generated: 154172
% 25.55/25.97 Kept: 20426
% 25.55/25.97 Inuse: 1198
% 25.55/25.97 Deleted: 860
% 25.55/25.97 Deletedinuse: 46
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 *** allocated 1297440 integers for clauses
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 Intermediate Status:
% 25.55/25.97 Generated: 171171
% 25.55/25.97 Kept: 22459
% 25.55/25.97 Inuse: 1232
% 25.55/25.97 Deleted: 860
% 25.55/25.97 Deletedinuse: 46
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 Intermediate Status:
% 25.55/25.97 Generated: 191301
% 25.55/25.97 Kept: 24490
% 25.55/25.97 Inuse: 1276
% 25.55/25.97 Deleted: 860
% 25.55/25.97 Deletedinuse: 46
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 Intermediate Status:
% 25.55/25.97 Generated: 203332
% 25.55/25.97 Kept: 26629
% 25.55/25.97 Inuse: 1305
% 25.55/25.97 Deleted: 860
% 25.55/25.97 Deletedinuse: 46
% 25.55/25.97
% 25.55/25.97 *** allocated 576640 integers for termspace/termends
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 Intermediate Status:
% 25.55/25.97 Generated: 265381
% 25.55/25.97 Kept: 28630
% 25.55/25.97 Inuse: 1416
% 25.55/25.97 Deleted: 860
% 25.55/25.97 Deletedinuse: 46
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 Intermediate Status:
% 25.55/25.97 Generated: 302624
% 25.55/25.97 Kept: 30731
% 25.55/25.97 Inuse: 1461
% 25.55/25.97 Deleted: 872
% 25.55/25.97 Deletedinuse: 58
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 Intermediate Status:
% 25.55/25.97 Generated: 337046
% 25.55/25.97 Kept: 32761
% 25.55/25.97 Inuse: 1514
% 25.55/25.97 Deleted: 872
% 25.55/25.97 Deletedinuse: 58
% 25.55/25.97
% 25.55/25.97 *** allocated 1946160 integers for clauses
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 Intermediate Status:
% 25.55/25.97 Generated: 392763
% 25.55/25.97 Kept: 34764
% 25.55/25.97 Inuse: 1591
% 25.55/25.97 Deleted: 872
% 25.55/25.97 Deletedinuse: 58
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 Intermediate Status:
% 25.55/25.97 Generated: 476440
% 25.55/25.97 Kept: 36774
% 25.55/25.97 Inuse: 1691
% 25.55/25.97 Deleted: 872
% 25.55/25.97 Deletedinuse: 58
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 Intermediate Status:
% 25.55/25.97 Generated: 600541
% 25.55/25.97 Kept: 38828
% 25.55/25.97 Inuse: 1856
% 25.55/25.97 Deleted: 872
% 25.55/25.97 Deletedinuse: 58
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 *** allocated 864960 integers for termspace/termends
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 Resimplifying clauses:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 Intermediate Status:
% 25.55/25.97 Generated: 618044
% 25.55/25.97 Kept: 40885
% 25.55/25.97 Inuse: 1862
% 25.55/25.97 Deleted: 1435
% 25.55/25.97 Deletedinuse: 58
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 Intermediate Status:
% 25.55/25.97 Generated: 650088
% 25.55/25.97 Kept: 42957
% 25.55/25.97 Inuse: 1874
% 25.55/25.97 Deleted: 1435
% 25.55/25.97 Deletedinuse: 58
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 Intermediate Status:
% 25.55/25.97 Generated: 758224
% 25.55/25.97 Kept: 44960
% 25.55/25.97 Inuse: 1936
% 25.55/25.97 Deleted: 1435
% 25.55/25.97 Deletedinuse: 58
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 Intermediate Status:
% 25.55/25.97 Generated: 894617
% 25.55/25.97 Kept: 46975
% 25.55/25.97 Inuse: 2014
% 25.55/25.97 Deleted: 1435
% 25.55/25.97 Deletedinuse: 58
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 Intermediate Status:
% 25.55/25.97 Generated: 1156060
% 25.55/25.97 Kept: 48981
% 25.55/25.97 Inuse: 2122
% 25.55/25.97 Deleted: 1435
% 25.55/25.97 Deletedinuse: 58
% 25.55/25.97
% 25.55/25.97 Resimplifying inuse:
% 25.55/25.97 Done
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 Bliksems!, er is een bewijs:
% 25.55/25.97 % SZS status Theorem
% 25.55/25.97 % SZS output start Refutation
% 25.55/25.97
% 25.55/25.97 (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 25.55/25.97 (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), convergent_lines( Y,
% 25.55/25.97 Z ), ! convergent_lines( X, Y ) }.
% 25.55/25.97 (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), unorthogonal_lines(
% 25.55/25.97 X, Y ) }.
% 25.55/25.97 (19) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 25.55/25.97 unorthogonal_lines( X, Y ), unorthogonal_lines( Y, Z ), alpha1( X, Z )
% 25.55/25.97 }.
% 25.55/25.97 (21) {G0,W6,D2,L2,V2,M1} I { unorthogonal_lines( X, Y ), ! alpha1( X, Y )
% 25.55/25.97 }.
% 25.55/25.97 (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines( orthogonal_through_point
% 25.55/25.97 ( Y, X ), Y ) }.
% 25.55/25.97 (27) {G0,W12,D2,L4,V3,M1} I { unorthogonal_lines( Z, Y ), !
% 25.55/25.97 convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha2( X, Z )
% 25.55/25.97 }.
% 25.55/25.97 (28) {G0,W6,D2,L2,V2,M1} I { convergent_lines( Y, X ), ! alpha2( X, Y ) }.
% 25.55/25.97 (31) {G0,W9,D2,L3,V3,M2} I { ! convergent_lines( X, Y ), unorthogonal_lines
% 25.55/25.97 ( Z, X ), unorthogonal_lines( Z, Y ) }.
% 25.55/25.97 (40) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ), ! parallel_lines(
% 25.55/25.97 X, Y ) }.
% 25.55/25.97 (44) {G0,W6,D2,L2,V2,M1} I { ! orthogonal_lines( X, Y ), !
% 25.55/25.97 unorthogonal_lines( X, Y ) }.
% 25.55/25.97 (45) {G0,W6,D2,L2,V2,M1} I { orthogonal_lines( X, Y ), unorthogonal_lines(
% 25.55/25.97 X, Y ) }.
% 25.55/25.97 (46) {G0,W3,D2,L1,V0,M1} I { parallel_lines( skol3, skol1 ) }.
% 25.55/25.97 (47) {G0,W3,D2,L1,V0,M1} I { orthogonal_lines( skol3, skol2 ) }.
% 25.55/25.97 (48) {G0,W3,D2,L1,V0,M1} I { ! orthogonal_lines( skol1, skol2 ) }.
% 25.55/25.97 (64) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 25.55/25.97 convergent_lines( X, Y ) }.
% 25.55/25.97 (70) {G1,W3,D2,L1,V0,M1} R(40,46) { ! convergent_lines( skol3, skol1 ) }.
% 25.55/25.97 (71) {G2,W3,D2,L1,V0,M1} R(70,64) { ! convergent_lines( skol1, skol3 ) }.
% 25.55/25.97 (74) {G3,W6,D2,L2,V1,M2} R(71,5) { ! convergent_lines( skol1, X ),
% 25.55/25.97 convergent_lines( X, skol3 ) }.
% 25.55/25.97 (76) {G1,W6,D2,L2,V2,M1} R(17,44) { convergent_lines( X, Y ), !
% 25.55/25.97 orthogonal_lines( X, Y ) }.
% 25.55/25.97 (106) {G2,W3,D2,L1,V0,M1} R(76,47) { convergent_lines( skol3, skol2 ) }.
% 25.55/25.97 (108) {G3,W6,D2,L2,V1,M1} R(106,5) { convergent_lines( skol2, X ),
% 25.55/25.97 convergent_lines( skol3, X ) }.
% 25.55/25.97 (125) {G4,W3,D2,L1,V0,M1} R(108,70) { convergent_lines( skol2, skol1 ) }.
% 25.55/25.97 (129) {G5,W3,D2,L1,V0,M1} R(125,64) { convergent_lines( skol1, skol2 ) }.
% 25.55/25.97 (165) {G1,W12,D2,L4,V3,M3} R(19,21) { ! convergent_lines( X, Y ),
% 25.55/25.97 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ), !
% 25.55/25.97 unorthogonal_lines( X, Y ) }.
% 25.55/25.97 (174) {G4,W9,D2,L3,V2,M2} R(74,5) { ! convergent_lines( Y, skol1 ),
% 25.55/25.97 convergent_lines( X, skol3 ), convergent_lines( Y, X ) }.
% 25.55/25.97 (205) {G1,W12,D2,L4,V3,M2} R(27,28) { ! convergent_lines( Z, Y ),
% 25.55/25.97 convergent_lines( X, Z ), unorthogonal_lines( X, Y ), !
% 25.55/25.97 unorthogonal_lines( Z, Y ) }.
% 25.55/25.97 (2814) {G2,W15,D2,L5,V4,M3} R(165,31) { ! convergent_lines( X, Y ), !
% 25.55/25.97 convergent_lines( Y, T ), unorthogonal_lines( Y, Z ), unorthogonal_lines
% 25.55/25.97 ( X, T ), unorthogonal_lines( X, Z ) }.
% 25.55/25.97 (2825) {G3,W9,D2,L3,V3,M2} F(2814);r(17) { ! convergent_lines( X, Y ),
% 25.55/25.97 unorthogonal_lines( X, Z ), unorthogonal_lines( Y, Z ) }.
% 25.55/25.97 (3100) {G2,W11,D3,L3,V3,M1} R(205,23) { ! convergent_lines( X, Y ),
% 25.55/25.97 convergent_lines( orthogonal_through_point( Y, Z ), X ), !
% 25.55/25.97 unorthogonal_lines( X, Y ) }.
% 25.55/25.97 (3461) {G4,W8,D3,L2,V3,M1} R(2825,23) { ! convergent_lines(
% 25.55/25.97 orthogonal_through_point( X, Y ), Z ), unorthogonal_lines( Z, X ) }.
% 25.55/25.97 (3468) {G5,W8,D3,L2,V3,M1} R(3461,44) { ! convergent_lines(
% 25.55/25.97 orthogonal_through_point( X, Y ), Z ), ! orthogonal_lines( Z, X ) }.
% 25.55/25.97 (3499) {G6,W5,D3,L1,V1,M1} R(3468,47) { ! convergent_lines(
% 25.55/25.97 orthogonal_through_point( skol2, X ), skol3 ) }.
% 25.55/25.97 (3503) {G7,W5,D3,L1,V1,M1} R(3499,174);r(2) { ! convergent_lines(
% 25.55/25.97 orthogonal_through_point( skol2, X ), skol1 ) }.
% 25.55/25.97 (50176) {G3,W11,D3,L3,V3,M1} R(3100,45) { ! convergent_lines( X, Y ),
% 25.55/25.97 convergent_lines( orthogonal_through_point( Y, Z ), X ), orthogonal_lines
% 25.55/25.97 ( X, Y ) }.
% 25.55/25.97 (50177) {G6,W5,D3,L1,V1,M1} R(50176,48);r(129) { convergent_lines(
% 25.55/25.97 orthogonal_through_point( skol2, X ), skol1 ) }.
% 25.55/25.97 (50178) {G8,W0,D0,L0,V0,M0} S(50177);r(3503) { }.
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 % SZS output end Refutation
% 25.55/25.97 found a proof!
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 Unprocessed initial clauses:
% 25.55/25.97
% 25.55/25.97 (50180) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 25.55/25.97 (50181) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 25.55/25.97 (50182) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 25.55/25.97 (50183) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points(
% 25.55/25.97 X, Z ), distinct_points( Y, Z ) }.
% 25.55/25.97 (50184) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X
% 25.55/25.97 , Z ), distinct_lines( Y, Z ) }.
% 25.55/25.97 (50185) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 25.55/25.97 ( X, Z ), convergent_lines( Y, Z ) }.
% 25.55/25.97 (50186) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 25.55/25.97 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 25.55/25.97 (50187) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 25.55/25.97 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 25.55/25.97 (50188) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 25.55/25.97 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 25.55/25.97 (50189) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 25.55/25.97 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 25.55/25.97 (50190) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 25.55/25.97 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 25.55/25.97 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 25.55/25.97 (50191) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 25.55/25.97 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 25.55/25.97 (50192) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 25.55/25.97 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 25.55/25.97 (50193) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines(
% 25.55/25.97 Y, Z ), convergent_lines( X, Z ) }.
% 25.55/25.97 (50194) {G0,W6,D2,L2,V2,M2} { ! distinct_lines( X, Y ), convergent_lines(
% 25.55/25.97 X, Y ) }.
% 25.55/25.97 (50195) {G0,W5,D3,L1,V2,M1} { ! convergent_lines( parallel_through_point(
% 25.55/25.97 Y, X ), Y ) }.
% 25.55/25.97 (50196) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 25.55/25.97 parallel_through_point( Y, X ) ) }.
% 25.55/25.97 (50197) {G0,W12,D2,L4,V3,M4} { ! distinct_lines( X, Y ),
% 25.55/25.97 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 25.55/25.97 convergent_lines( X, Y ) }.
% 25.55/25.97 (50198) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), unorthogonal_lines
% 25.55/25.97 ( X, Y ) }.
% 25.55/25.97 (50199) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 25.55/25.97 unorthogonal_lines( X, Y ), alpha1( X, Z ), convergent_lines( Y, Z ) }.
% 25.55/25.97 (50200) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 25.55/25.97 unorthogonal_lines( X, Y ), alpha1( X, Z ), unorthogonal_lines( Y, Z )
% 25.55/25.97 }.
% 25.55/25.97 (50201) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), convergent_lines( X, Y )
% 25.55/25.97 }.
% 25.55/25.97 (50202) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), unorthogonal_lines( X, Y )
% 25.55/25.97 }.
% 25.55/25.97 (50203) {G0,W9,D2,L3,V2,M3} { ! convergent_lines( X, Y ), !
% 25.55/25.97 unorthogonal_lines( X, Y ), alpha1( X, Y ) }.
% 25.55/25.97 (50204) {G0,W5,D3,L1,V2,M1} { ! unorthogonal_lines(
% 25.55/25.97 orthogonal_through_point( Y, X ), Y ) }.
% 25.55/25.97 (50205) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 25.55/25.97 orthogonal_through_point( Y, X ) ) }.
% 25.55/25.97 (50206) {G0,W15,D2,L5,V4,M5} { ! distinct_lines( X, Y ),
% 25.55/25.97 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 25.55/25.97 unorthogonal_lines( X, T ), unorthogonal_lines( Y, T ) }.
% 25.55/25.97 (50207) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), unorthogonal_lines
% 25.55/25.97 ( X, Y ) }.
% 25.55/25.97 (50208) {G0,W12,D2,L4,V3,M4} { alpha2( X, Z ), convergent_lines( Z, Y ), !
% 25.55/25.97 convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ) }.
% 25.55/25.97 (50209) {G0,W12,D2,L4,V3,M4} { alpha2( X, Z ), unorthogonal_lines( Z, Y )
% 25.55/25.97 , ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ) }.
% 25.55/25.97 (50210) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), convergent_lines( Y, X )
% 25.55/25.97 }.
% 25.55/25.97 (50211) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), unorthogonal_lines( Y, X )
% 25.55/25.97 }.
% 25.55/25.97 (50212) {G0,W9,D2,L3,V2,M3} { ! convergent_lines( Y, X ), !
% 25.55/25.97 unorthogonal_lines( Y, X ), alpha2( X, Y ) }.
% 25.55/25.97 (50213) {G0,W9,D2,L3,V3,M3} { unorthogonal_lines( Z, X ),
% 25.55/25.97 unorthogonal_lines( Z, Y ), ! convergent_lines( X, Y ) }.
% 25.55/25.97 (50214) {G0,W11,D3,L4,V2,M4} { ! point( X ), ! point( Y ), !
% 25.55/25.97 distinct_points( X, Y ), line( line_connecting( X, Y ) ) }.
% 25.55/25.97 (50215) {G0,W11,D3,L4,V2,M4} { ! line( X ), ! line( Y ), !
% 25.55/25.97 convergent_lines( X, Y ), point( intersection_point( X, Y ) ) }.
% 25.55/25.97 (50216) {G0,W8,D3,L3,V2,M3} { ! line( X ), ! point( Y ), line(
% 25.55/25.97 parallel_through_point( X, Y ) ) }.
% 25.55/25.97 (50217) {G0,W8,D3,L3,V2,M3} { ! line( X ), ! point( Y ), line(
% 25.55/25.97 orthogonal_through_point( X, Y ) ) }.
% 25.55/25.97 (50218) {G0,W6,D2,L2,V2,M2} { ! equal_points( X, Y ), ! distinct_points( X
% 25.55/25.97 , Y ) }.
% 25.55/25.97 (50219) {G0,W6,D2,L2,V2,M2} { distinct_points( X, Y ), equal_points( X, Y
% 25.55/25.97 ) }.
% 25.55/25.97 (50220) {G0,W6,D2,L2,V2,M2} { ! equal_lines( X, Y ), ! distinct_lines( X,
% 25.55/25.97 Y ) }.
% 25.55/25.97 (50221) {G0,W6,D2,L2,V2,M2} { distinct_lines( X, Y ), equal_lines( X, Y )
% 25.55/25.97 }.
% 25.55/25.97 (50222) {G0,W6,D2,L2,V2,M2} { ! parallel_lines( X, Y ), ! convergent_lines
% 25.55/25.97 ( X, Y ) }.
% 25.55/25.97 (50223) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), parallel_lines( X
% 25.55/25.97 , Y ) }.
% 25.55/25.97 (50224) {G0,W6,D2,L2,V2,M2} { ! incident_point_and_line( X, Y ), !
% 25.55/25.97 apart_point_and_line( X, Y ) }.
% 25.55/25.97 (50225) {G0,W6,D2,L2,V2,M2} { apart_point_and_line( X, Y ),
% 25.55/25.97 incident_point_and_line( X, Y ) }.
% 25.55/25.97 (50226) {G0,W6,D2,L2,V2,M2} { ! orthogonal_lines( X, Y ), !
% 25.55/25.97 unorthogonal_lines( X, Y ) }.
% 25.55/25.97 (50227) {G0,W6,D2,L2,V2,M2} { unorthogonal_lines( X, Y ), orthogonal_lines
% 25.55/25.97 ( X, Y ) }.
% 25.55/25.97 (50228) {G0,W3,D2,L1,V0,M1} { parallel_lines( skol3, skol1 ) }.
% 25.55/25.97 (50229) {G0,W3,D2,L1,V0,M1} { orthogonal_lines( skol3, skol2 ) }.
% 25.55/25.97 (50230) {G0,W3,D2,L1,V0,M1} { ! orthogonal_lines( skol1, skol2 ) }.
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 Total Proof:
% 25.55/25.97
% 25.55/25.97 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 25.55/25.97 parent0: (50182) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 0
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 25.55/25.97 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 25.55/25.97 parent0: (50185) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 25.55/25.97 convergent_lines( X, Z ), convergent_lines( Y, Z ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 Z := Z
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 2
% 25.55/25.97 1 ==> 0
% 25.55/25.97 2 ==> 1
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ),
% 25.55/25.97 unorthogonal_lines( X, Y ) }.
% 25.55/25.97 parent0: (50198) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ),
% 25.55/25.97 unorthogonal_lines( X, Y ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 0
% 25.55/25.97 1 ==> 1
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (19) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 25.55/25.97 unorthogonal_lines( X, Y ), unorthogonal_lines( Y, Z ), alpha1( X, Z )
% 25.55/25.97 }.
% 25.55/25.97 parent0: (50200) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 25.55/25.97 unorthogonal_lines( X, Y ), alpha1( X, Z ), unorthogonal_lines( Y, Z )
% 25.55/25.97 }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 Z := Z
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 0
% 25.55/25.97 1 ==> 1
% 25.55/25.97 2 ==> 3
% 25.55/25.97 3 ==> 2
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (21) {G0,W6,D2,L2,V2,M1} I { unorthogonal_lines( X, Y ), !
% 25.55/25.97 alpha1( X, Y ) }.
% 25.55/25.97 parent0: (50202) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ),
% 25.55/25.97 unorthogonal_lines( X, Y ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 1
% 25.55/25.97 1 ==> 0
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 25.55/25.97 orthogonal_through_point( Y, X ), Y ) }.
% 25.55/25.97 parent0: (50204) {G0,W5,D3,L1,V2,M1} { ! unorthogonal_lines(
% 25.55/25.97 orthogonal_through_point( Y, X ), Y ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 0
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (27) {G0,W12,D2,L4,V3,M1} I { unorthogonal_lines( Z, Y ), !
% 25.55/25.97 convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha2( X, Z )
% 25.55/25.97 }.
% 25.55/25.97 parent0: (50209) {G0,W12,D2,L4,V3,M4} { alpha2( X, Z ), unorthogonal_lines
% 25.55/25.97 ( Z, Y ), ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 Z := Z
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 3
% 25.55/25.97 1 ==> 0
% 25.55/25.97 2 ==> 1
% 25.55/25.97 3 ==> 2
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (28) {G0,W6,D2,L2,V2,M1} I { convergent_lines( Y, X ), !
% 25.55/25.97 alpha2( X, Y ) }.
% 25.55/25.97 parent0: (50210) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), convergent_lines
% 25.55/25.97 ( Y, X ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 1
% 25.55/25.97 1 ==> 0
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (31) {G0,W9,D2,L3,V3,M2} I { ! convergent_lines( X, Y ),
% 25.55/25.97 unorthogonal_lines( Z, X ), unorthogonal_lines( Z, Y ) }.
% 25.55/25.97 parent0: (50213) {G0,W9,D2,L3,V3,M3} { unorthogonal_lines( Z, X ),
% 25.55/25.97 unorthogonal_lines( Z, Y ), ! convergent_lines( X, Y ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 Z := Z
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 1
% 25.55/25.97 1 ==> 2
% 25.55/25.97 2 ==> 0
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (40) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 25.55/25.97 parallel_lines( X, Y ) }.
% 25.55/25.97 parent0: (50222) {G0,W6,D2,L2,V2,M2} { ! parallel_lines( X, Y ), !
% 25.55/25.97 convergent_lines( X, Y ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 1
% 25.55/25.97 1 ==> 0
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (44) {G0,W6,D2,L2,V2,M1} I { ! orthogonal_lines( X, Y ), !
% 25.55/25.97 unorthogonal_lines( X, Y ) }.
% 25.55/25.97 parent0: (50226) {G0,W6,D2,L2,V2,M2} { ! orthogonal_lines( X, Y ), !
% 25.55/25.97 unorthogonal_lines( X, Y ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 0
% 25.55/25.97 1 ==> 1
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (45) {G0,W6,D2,L2,V2,M1} I { orthogonal_lines( X, Y ),
% 25.55/25.97 unorthogonal_lines( X, Y ) }.
% 25.55/25.97 parent0: (50227) {G0,W6,D2,L2,V2,M2} { unorthogonal_lines( X, Y ),
% 25.55/25.97 orthogonal_lines( X, Y ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 1
% 25.55/25.97 1 ==> 0
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (46) {G0,W3,D2,L1,V0,M1} I { parallel_lines( skol3, skol1 )
% 25.55/25.97 }.
% 25.55/25.97 parent0: (50228) {G0,W3,D2,L1,V0,M1} { parallel_lines( skol3, skol1 ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 0
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (47) {G0,W3,D2,L1,V0,M1} I { orthogonal_lines( skol3, skol2 )
% 25.55/25.97 }.
% 25.55/25.97 parent0: (50229) {G0,W3,D2,L1,V0,M1} { orthogonal_lines( skol3, skol2 )
% 25.55/25.97 }.
% 25.55/25.97 substitution0:
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 0
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (48) {G0,W3,D2,L1,V0,M1} I { ! orthogonal_lines( skol1, skol2
% 25.55/25.97 ) }.
% 25.55/25.97 parent0: (50230) {G0,W3,D2,L1,V0,M1} { ! orthogonal_lines( skol1, skol2 )
% 25.55/25.97 }.
% 25.55/25.97 substitution0:
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 0
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 resolution: (50401) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 25.55/25.97 convergent_lines( X, Y ) }.
% 25.55/25.97 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 25.55/25.97 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 25.55/25.97 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 end
% 25.55/25.97 substitution1:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 Z := X
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (64) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 25.55/25.97 convergent_lines( X, Y ) }.
% 25.55/25.97 parent0: (50401) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 25.55/25.97 convergent_lines( X, Y ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := Y
% 25.55/25.97 Y := X
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 1
% 25.55/25.97 1 ==> 0
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 resolution: (50403) {G1,W3,D2,L1,V0,M1} { ! convergent_lines( skol3, skol1
% 25.55/25.97 ) }.
% 25.55/25.97 parent0[1]: (40) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 25.55/25.97 parallel_lines( X, Y ) }.
% 25.55/25.97 parent1[0]: (46) {G0,W3,D2,L1,V0,M1} I { parallel_lines( skol3, skol1 ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := skol3
% 25.55/25.97 Y := skol1
% 25.55/25.97 end
% 25.55/25.97 substitution1:
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (70) {G1,W3,D2,L1,V0,M1} R(40,46) { ! convergent_lines( skol3
% 25.55/25.97 , skol1 ) }.
% 25.55/25.97 parent0: (50403) {G1,W3,D2,L1,V0,M1} { ! convergent_lines( skol3, skol1 )
% 25.55/25.97 }.
% 25.55/25.97 substitution0:
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 0
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 resolution: (50404) {G2,W3,D2,L1,V0,M1} { ! convergent_lines( skol1, skol3
% 25.55/25.97 ) }.
% 25.55/25.97 parent0[0]: (70) {G1,W3,D2,L1,V0,M1} R(40,46) { ! convergent_lines( skol3,
% 25.55/25.97 skol1 ) }.
% 25.55/25.97 parent1[1]: (64) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 25.55/25.97 convergent_lines( X, Y ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 end
% 25.55/25.97 substitution1:
% 25.55/25.97 X := skol3
% 25.55/25.97 Y := skol1
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (71) {G2,W3,D2,L1,V0,M1} R(70,64) { ! convergent_lines( skol1
% 25.55/25.97 , skol3 ) }.
% 25.55/25.97 parent0: (50404) {G2,W3,D2,L1,V0,M1} { ! convergent_lines( skol1, skol3 )
% 25.55/25.97 }.
% 25.55/25.97 substitution0:
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 0
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 resolution: (50405) {G1,W6,D2,L2,V1,M2} { convergent_lines( X, skol3 ), !
% 25.55/25.97 convergent_lines( skol1, X ) }.
% 25.55/25.97 parent0[0]: (71) {G2,W3,D2,L1,V0,M1} R(70,64) { ! convergent_lines( skol1,
% 25.55/25.97 skol3 ) }.
% 25.55/25.97 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 25.55/25.97 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 end
% 25.55/25.97 substitution1:
% 25.55/25.97 X := skol1
% 25.55/25.97 Y := X
% 25.55/25.97 Z := skol3
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (74) {G3,W6,D2,L2,V1,M2} R(71,5) { ! convergent_lines( skol1,
% 25.55/25.97 X ), convergent_lines( X, skol3 ) }.
% 25.55/25.97 parent0: (50405) {G1,W6,D2,L2,V1,M2} { convergent_lines( X, skol3 ), !
% 25.55/25.97 convergent_lines( skol1, X ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 1
% 25.55/25.97 1 ==> 0
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 resolution: (50407) {G1,W6,D2,L2,V2,M2} { ! orthogonal_lines( X, Y ),
% 25.55/25.97 convergent_lines( X, Y ) }.
% 25.55/25.97 parent0[1]: (44) {G0,W6,D2,L2,V2,M1} I { ! orthogonal_lines( X, Y ), !
% 25.55/25.97 unorthogonal_lines( X, Y ) }.
% 25.55/25.97 parent1[1]: (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ),
% 25.55/25.97 unorthogonal_lines( X, Y ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 end
% 25.55/25.97 substitution1:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (76) {G1,W6,D2,L2,V2,M1} R(17,44) { convergent_lines( X, Y ),
% 25.55/25.97 ! orthogonal_lines( X, Y ) }.
% 25.55/25.97 parent0: (50407) {G1,W6,D2,L2,V2,M2} { ! orthogonal_lines( X, Y ),
% 25.55/25.97 convergent_lines( X, Y ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 1
% 25.55/25.97 1 ==> 0
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 resolution: (50408) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol2 )
% 25.55/25.97 }.
% 25.55/25.97 parent0[1]: (76) {G1,W6,D2,L2,V2,M1} R(17,44) { convergent_lines( X, Y ), !
% 25.55/25.97 orthogonal_lines( X, Y ) }.
% 25.55/25.97 parent1[0]: (47) {G0,W3,D2,L1,V0,M1} I { orthogonal_lines( skol3, skol2 )
% 25.55/25.97 }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := skol3
% 25.55/25.97 Y := skol2
% 25.55/25.97 end
% 25.55/25.97 substitution1:
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (106) {G2,W3,D2,L1,V0,M1} R(76,47) { convergent_lines( skol3,
% 25.55/25.97 skol2 ) }.
% 25.55/25.97 parent0: (50408) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol2 )
% 25.55/25.97 }.
% 25.55/25.97 substitution0:
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 0
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 resolution: (50409) {G1,W6,D2,L2,V1,M2} { convergent_lines( skol3, X ),
% 25.55/25.97 convergent_lines( skol2, X ) }.
% 25.55/25.97 parent0[2]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 25.55/25.97 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 25.55/25.97 parent1[0]: (106) {G2,W3,D2,L1,V0,M1} R(76,47) { convergent_lines( skol3,
% 25.55/25.97 skol2 ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := skol3
% 25.55/25.97 Y := skol2
% 25.55/25.97 Z := X
% 25.55/25.97 end
% 25.55/25.97 substitution1:
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (108) {G3,W6,D2,L2,V1,M1} R(106,5) { convergent_lines( skol2,
% 25.55/25.97 X ), convergent_lines( skol3, X ) }.
% 25.55/25.97 parent0: (50409) {G1,W6,D2,L2,V1,M2} { convergent_lines( skol3, X ),
% 25.55/25.97 convergent_lines( skol2, X ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 1
% 25.55/25.97 1 ==> 0
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 resolution: (50410) {G2,W3,D2,L1,V0,M1} { convergent_lines( skol2, skol1 )
% 25.55/25.97 }.
% 25.55/25.97 parent0[0]: (70) {G1,W3,D2,L1,V0,M1} R(40,46) { ! convergent_lines( skol3,
% 25.55/25.97 skol1 ) }.
% 25.55/25.97 parent1[1]: (108) {G3,W6,D2,L2,V1,M1} R(106,5) { convergent_lines( skol2, X
% 25.55/25.97 ), convergent_lines( skol3, X ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 end
% 25.55/25.97 substitution1:
% 25.55/25.97 X := skol1
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (125) {G4,W3,D2,L1,V0,M1} R(108,70) { convergent_lines( skol2
% 25.55/25.97 , skol1 ) }.
% 25.55/25.97 parent0: (50410) {G2,W3,D2,L1,V0,M1} { convergent_lines( skol2, skol1 )
% 25.55/25.97 }.
% 25.55/25.97 substitution0:
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 0
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 resolution: (50411) {G2,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 )
% 25.55/25.97 }.
% 25.55/25.97 parent0[0]: (64) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 25.55/25.97 convergent_lines( X, Y ) }.
% 25.55/25.97 parent1[0]: (125) {G4,W3,D2,L1,V0,M1} R(108,70) { convergent_lines( skol2,
% 25.55/25.97 skol1 ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := skol1
% 25.55/25.97 Y := skol2
% 25.55/25.97 end
% 25.55/25.97 substitution1:
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (129) {G5,W3,D2,L1,V0,M1} R(125,64) { convergent_lines( skol1
% 25.55/25.97 , skol2 ) }.
% 25.55/25.97 parent0: (50411) {G2,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 )
% 25.55/25.97 }.
% 25.55/25.97 substitution0:
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 0
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 resolution: (50413) {G1,W12,D2,L4,V3,M4} { unorthogonal_lines( X, Y ), !
% 25.55/25.97 convergent_lines( X, Z ), ! unorthogonal_lines( X, Z ),
% 25.55/25.97 unorthogonal_lines( Z, Y ) }.
% 25.55/25.97 parent0[1]: (21) {G0,W6,D2,L2,V2,M1} I { unorthogonal_lines( X, Y ), !
% 25.55/25.97 alpha1( X, Y ) }.
% 25.55/25.97 parent1[3]: (19) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 25.55/25.97 unorthogonal_lines( X, Y ), unorthogonal_lines( Y, Z ), alpha1( X, Z )
% 25.55/25.97 }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 end
% 25.55/25.97 substitution1:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Z
% 25.55/25.97 Z := Y
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (165) {G1,W12,D2,L4,V3,M3} R(19,21) { ! convergent_lines( X, Y
% 25.55/25.97 ), unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ), !
% 25.55/25.97 unorthogonal_lines( X, Y ) }.
% 25.55/25.97 parent0: (50413) {G1,W12,D2,L4,V3,M4} { unorthogonal_lines( X, Y ), !
% 25.55/25.97 convergent_lines( X, Z ), ! unorthogonal_lines( X, Z ),
% 25.55/25.97 unorthogonal_lines( Z, Y ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Z
% 25.55/25.97 Z := Y
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 2
% 25.55/25.97 1 ==> 0
% 25.55/25.97 2 ==> 3
% 25.55/25.97 3 ==> 1
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 resolution: (50416) {G1,W9,D2,L3,V2,M3} { convergent_lines( X, skol3 ),
% 25.55/25.97 convergent_lines( Y, X ), ! convergent_lines( Y, skol1 ) }.
% 25.55/25.97 parent0[0]: (74) {G3,W6,D2,L2,V1,M2} R(71,5) { ! convergent_lines( skol1, X
% 25.55/25.97 ), convergent_lines( X, skol3 ) }.
% 25.55/25.97 parent1[1]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 25.55/25.97 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 end
% 25.55/25.97 substitution1:
% 25.55/25.97 X := Y
% 25.55/25.97 Y := skol1
% 25.55/25.97 Z := X
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (174) {G4,W9,D2,L3,V2,M2} R(74,5) { ! convergent_lines( Y,
% 25.55/25.97 skol1 ), convergent_lines( X, skol3 ), convergent_lines( Y, X ) }.
% 25.55/25.97 parent0: (50416) {G1,W9,D2,L3,V2,M3} { convergent_lines( X, skol3 ),
% 25.55/25.97 convergent_lines( Y, X ), ! convergent_lines( Y, skol1 ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 1
% 25.55/25.97 1 ==> 2
% 25.55/25.97 2 ==> 0
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 resolution: (50420) {G1,W12,D2,L4,V3,M4} { convergent_lines( X, Y ),
% 25.55/25.97 unorthogonal_lines( X, Z ), ! convergent_lines( Y, Z ), !
% 25.55/25.97 unorthogonal_lines( Y, Z ) }.
% 25.55/25.97 parent0[1]: (28) {G0,W6,D2,L2,V2,M1} I { convergent_lines( Y, X ), ! alpha2
% 25.55/25.97 ( X, Y ) }.
% 25.55/25.97 parent1[3]: (27) {G0,W12,D2,L4,V3,M1} I { unorthogonal_lines( Z, Y ), !
% 25.55/25.97 convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha2( X, Z )
% 25.55/25.97 }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := Y
% 25.55/25.97 Y := X
% 25.55/25.97 end
% 25.55/25.97 substitution1:
% 25.55/25.97 X := Y
% 25.55/25.97 Y := Z
% 25.55/25.97 Z := X
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (205) {G1,W12,D2,L4,V3,M2} R(27,28) { ! convergent_lines( Z, Y
% 25.55/25.97 ), convergent_lines( X, Z ), unorthogonal_lines( X, Y ), !
% 25.55/25.97 unorthogonal_lines( Z, Y ) }.
% 25.55/25.97 parent0: (50420) {G1,W12,D2,L4,V3,M4} { convergent_lines( X, Y ),
% 25.55/25.97 unorthogonal_lines( X, Z ), ! convergent_lines( Y, Z ), !
% 25.55/25.97 unorthogonal_lines( Y, Z ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Z
% 25.55/25.97 Z := Y
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 1
% 25.55/25.97 1 ==> 2
% 25.55/25.97 2 ==> 0
% 25.55/25.97 3 ==> 3
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 resolution: (50421) {G1,W15,D2,L5,V4,M5} { ! convergent_lines( X, Y ),
% 25.55/25.97 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ), !
% 25.55/25.97 convergent_lines( Y, T ), unorthogonal_lines( X, T ) }.
% 25.55/25.97 parent0[3]: (165) {G1,W12,D2,L4,V3,M3} R(19,21) { ! convergent_lines( X, Y
% 25.55/25.97 ), unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ), !
% 25.55/25.97 unorthogonal_lines( X, Y ) }.
% 25.55/25.97 parent1[1]: (31) {G0,W9,D2,L3,V3,M2} I { ! convergent_lines( X, Y ),
% 25.55/25.97 unorthogonal_lines( Z, X ), unorthogonal_lines( Z, Y ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 Z := Z
% 25.55/25.97 end
% 25.55/25.97 substitution1:
% 25.55/25.97 X := Y
% 25.55/25.97 Y := T
% 25.55/25.97 Z := X
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (2814) {G2,W15,D2,L5,V4,M3} R(165,31) { ! convergent_lines( X
% 25.55/25.97 , Y ), ! convergent_lines( Y, T ), unorthogonal_lines( Y, Z ),
% 25.55/25.97 unorthogonal_lines( X, T ), unorthogonal_lines( X, Z ) }.
% 25.55/25.97 parent0: (50421) {G1,W15,D2,L5,V4,M5} { ! convergent_lines( X, Y ),
% 25.55/25.97 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ), !
% 25.55/25.97 convergent_lines( Y, T ), unorthogonal_lines( X, T ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 Z := Z
% 25.55/25.97 T := T
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 0
% 25.55/25.97 1 ==> 2
% 25.55/25.97 2 ==> 4
% 25.55/25.97 3 ==> 1
% 25.55/25.97 4 ==> 3
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 factor: (50436) {G2,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 25.55/25.97 convergent_lines( Y, Z ), unorthogonal_lines( Y, Z ), unorthogonal_lines
% 25.55/25.97 ( X, Z ) }.
% 25.55/25.97 parent0[3, 4]: (2814) {G2,W15,D2,L5,V4,M3} R(165,31) { ! convergent_lines(
% 25.55/25.97 X, Y ), ! convergent_lines( Y, T ), unorthogonal_lines( Y, Z ),
% 25.55/25.97 unorthogonal_lines( X, T ), unorthogonal_lines( X, Z ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 Z := Z
% 25.55/25.97 T := Z
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 resolution: (50460) {G1,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ),
% 25.55/25.97 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ),
% 25.55/25.97 unorthogonal_lines( Y, Z ) }.
% 25.55/25.97 parent0[1]: (50436) {G2,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 25.55/25.97 convergent_lines( Y, Z ), unorthogonal_lines( Y, Z ), unorthogonal_lines
% 25.55/25.97 ( X, Z ) }.
% 25.55/25.97 parent1[0]: (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ),
% 25.55/25.97 unorthogonal_lines( X, Y ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 Z := Z
% 25.55/25.97 end
% 25.55/25.97 substitution1:
% 25.55/25.97 X := Y
% 25.55/25.97 Y := Z
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 factor: (50464) {G1,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 25.55/25.97 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ) }.
% 25.55/25.97 parent0[1, 3]: (50460) {G1,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ),
% 25.55/25.97 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ),
% 25.55/25.97 unorthogonal_lines( Y, Z ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 Z := Z
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (2825) {G3,W9,D2,L3,V3,M2} F(2814);r(17) { ! convergent_lines
% 25.55/25.97 ( X, Y ), unorthogonal_lines( X, Z ), unorthogonal_lines( Y, Z ) }.
% 25.55/25.97 parent0: (50464) {G1,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 25.55/25.97 unorthogonal_lines( Y, Z ), unorthogonal_lines( X, Z ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 Z := Z
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 0
% 25.55/25.97 1 ==> 2
% 25.55/25.97 2 ==> 1
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 resolution: (50466) {G1,W11,D3,L3,V3,M3} { ! convergent_lines( Z, X ),
% 25.55/25.97 convergent_lines( orthogonal_through_point( X, Y ), Z ), !
% 25.55/25.97 unorthogonal_lines( Z, X ) }.
% 25.55/25.97 parent0[0]: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 25.55/25.97 orthogonal_through_point( Y, X ), Y ) }.
% 25.55/25.97 parent1[2]: (205) {G1,W12,D2,L4,V3,M2} R(27,28) { ! convergent_lines( Z, Y
% 25.55/25.97 ), convergent_lines( X, Z ), unorthogonal_lines( X, Y ), !
% 25.55/25.97 unorthogonal_lines( Z, Y ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := Y
% 25.55/25.97 Y := X
% 25.55/25.97 end
% 25.55/25.97 substitution1:
% 25.55/25.97 X := orthogonal_through_point( X, Y )
% 25.55/25.97 Y := X
% 25.55/25.97 Z := Z
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (3100) {G2,W11,D3,L3,V3,M1} R(205,23) { ! convergent_lines( X
% 25.55/25.97 , Y ), convergent_lines( orthogonal_through_point( Y, Z ), X ), !
% 25.55/25.97 unorthogonal_lines( X, Y ) }.
% 25.55/25.97 parent0: (50466) {G1,W11,D3,L3,V3,M3} { ! convergent_lines( Z, X ),
% 25.55/25.97 convergent_lines( orthogonal_through_point( X, Y ), Z ), !
% 25.55/25.97 unorthogonal_lines( Z, X ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := Y
% 25.55/25.97 Y := Z
% 25.55/25.97 Z := X
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 0
% 25.55/25.97 1 ==> 1
% 25.55/25.97 2 ==> 2
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 resolution: (50467) {G1,W8,D3,L2,V3,M2} { ! convergent_lines(
% 25.55/25.97 orthogonal_through_point( X, Y ), Z ), unorthogonal_lines( Z, X ) }.
% 25.55/25.97 parent0[0]: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 25.55/25.97 orthogonal_through_point( Y, X ), Y ) }.
% 25.55/25.97 parent1[1]: (2825) {G3,W9,D2,L3,V3,M2} F(2814);r(17) { ! convergent_lines(
% 25.55/25.97 X, Y ), unorthogonal_lines( X, Z ), unorthogonal_lines( Y, Z ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := Y
% 25.55/25.97 Y := X
% 25.55/25.97 end
% 25.55/25.97 substitution1:
% 25.55/25.97 X := orthogonal_through_point( X, Y )
% 25.55/25.97 Y := Z
% 25.55/25.97 Z := X
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (3461) {G4,W8,D3,L2,V3,M1} R(2825,23) { ! convergent_lines(
% 25.55/25.97 orthogonal_through_point( X, Y ), Z ), unorthogonal_lines( Z, X ) }.
% 25.55/25.97 parent0: (50467) {G1,W8,D3,L2,V3,M2} { ! convergent_lines(
% 25.55/25.97 orthogonal_through_point( X, Y ), Z ), unorthogonal_lines( Z, X ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 Z := Z
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 0
% 25.55/25.97 1 ==> 1
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 resolution: (50469) {G1,W8,D3,L2,V3,M2} { ! orthogonal_lines( X, Y ), !
% 25.55/25.97 convergent_lines( orthogonal_through_point( Y, Z ), X ) }.
% 25.55/25.97 parent0[1]: (44) {G0,W6,D2,L2,V2,M1} I { ! orthogonal_lines( X, Y ), !
% 25.55/25.97 unorthogonal_lines( X, Y ) }.
% 25.55/25.97 parent1[1]: (3461) {G4,W8,D3,L2,V3,M1} R(2825,23) { ! convergent_lines(
% 25.55/25.97 orthogonal_through_point( X, Y ), Z ), unorthogonal_lines( Z, X ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 end
% 25.55/25.97 substitution1:
% 25.55/25.97 X := Y
% 25.55/25.97 Y := Z
% 25.55/25.97 Z := X
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (3468) {G5,W8,D3,L2,V3,M1} R(3461,44) { ! convergent_lines(
% 25.55/25.97 orthogonal_through_point( X, Y ), Z ), ! orthogonal_lines( Z, X ) }.
% 25.55/25.97 parent0: (50469) {G1,W8,D3,L2,V3,M2} { ! orthogonal_lines( X, Y ), !
% 25.55/25.97 convergent_lines( orthogonal_through_point( Y, Z ), X ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := Z
% 25.55/25.97 Y := X
% 25.55/25.97 Z := Y
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 1
% 25.55/25.97 1 ==> 0
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 resolution: (50470) {G1,W5,D3,L1,V1,M1} { ! convergent_lines(
% 25.55/25.97 orthogonal_through_point( skol2, X ), skol3 ) }.
% 25.55/25.97 parent0[1]: (3468) {G5,W8,D3,L2,V3,M1} R(3461,44) { ! convergent_lines(
% 25.55/25.97 orthogonal_through_point( X, Y ), Z ), ! orthogonal_lines( Z, X ) }.
% 25.55/25.97 parent1[0]: (47) {G0,W3,D2,L1,V0,M1} I { orthogonal_lines( skol3, skol2 )
% 25.55/25.97 }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := skol2
% 25.55/25.97 Y := X
% 25.55/25.97 Z := skol3
% 25.55/25.97 end
% 25.55/25.97 substitution1:
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (3499) {G6,W5,D3,L1,V1,M1} R(3468,47) { ! convergent_lines(
% 25.55/25.97 orthogonal_through_point( skol2, X ), skol3 ) }.
% 25.55/25.97 parent0: (50470) {G1,W5,D3,L1,V1,M1} { ! convergent_lines(
% 25.55/25.97 orthogonal_through_point( skol2, X ), skol3 ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 0
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 resolution: (50472) {G5,W8,D3,L2,V1,M2} { ! convergent_lines(
% 25.55/25.97 orthogonal_through_point( skol2, X ), skol1 ), convergent_lines( skol3,
% 25.55/25.97 skol3 ) }.
% 25.55/25.97 parent0[0]: (3499) {G6,W5,D3,L1,V1,M1} R(3468,47) { ! convergent_lines(
% 25.55/25.97 orthogonal_through_point( skol2, X ), skol3 ) }.
% 25.55/25.97 parent1[2]: (174) {G4,W9,D2,L3,V2,M2} R(74,5) { ! convergent_lines( Y,
% 25.55/25.97 skol1 ), convergent_lines( X, skol3 ), convergent_lines( Y, X ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 end
% 25.55/25.97 substitution1:
% 25.55/25.97 X := skol3
% 25.55/25.97 Y := orthogonal_through_point( skol2, X )
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 resolution: (50473) {G1,W5,D3,L1,V1,M1} { ! convergent_lines(
% 25.55/25.97 orthogonal_through_point( skol2, X ), skol1 ) }.
% 25.55/25.97 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 25.55/25.97 parent1[1]: (50472) {G5,W8,D3,L2,V1,M2} { ! convergent_lines(
% 25.55/25.97 orthogonal_through_point( skol2, X ), skol1 ), convergent_lines( skol3,
% 25.55/25.97 skol3 ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := skol3
% 25.55/25.97 end
% 25.55/25.97 substitution1:
% 25.55/25.97 X := X
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (3503) {G7,W5,D3,L1,V1,M1} R(3499,174);r(2) { !
% 25.55/25.97 convergent_lines( orthogonal_through_point( skol2, X ), skol1 ) }.
% 25.55/25.97 parent0: (50473) {G1,W5,D3,L1,V1,M1} { ! convergent_lines(
% 25.55/25.97 orthogonal_through_point( skol2, X ), skol1 ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 0
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 resolution: (50474) {G1,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ),
% 25.55/25.97 convergent_lines( orthogonal_through_point( Y, Z ), X ), orthogonal_lines
% 25.55/25.97 ( X, Y ) }.
% 25.55/25.97 parent0[2]: (3100) {G2,W11,D3,L3,V3,M1} R(205,23) { ! convergent_lines( X,
% 25.55/25.97 Y ), convergent_lines( orthogonal_through_point( Y, Z ), X ), !
% 25.55/25.97 unorthogonal_lines( X, Y ) }.
% 25.55/25.97 parent1[1]: (45) {G0,W6,D2,L2,V2,M1} I { orthogonal_lines( X, Y ),
% 25.55/25.97 unorthogonal_lines( X, Y ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 Z := Z
% 25.55/25.97 end
% 25.55/25.97 substitution1:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (50176) {G3,W11,D3,L3,V3,M1} R(3100,45) { ! convergent_lines(
% 25.55/25.97 X, Y ), convergent_lines( orthogonal_through_point( Y, Z ), X ),
% 25.55/25.97 orthogonal_lines( X, Y ) }.
% 25.55/25.97 parent0: (50474) {G1,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ),
% 25.55/25.97 convergent_lines( orthogonal_through_point( Y, Z ), X ), orthogonal_lines
% 25.55/25.97 ( X, Y ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 Y := Y
% 25.55/25.97 Z := Z
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 0
% 25.55/25.97 1 ==> 1
% 25.55/25.97 2 ==> 2
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 resolution: (50475) {G1,W8,D3,L2,V1,M2} { ! convergent_lines( skol1, skol2
% 25.55/25.97 ), convergent_lines( orthogonal_through_point( skol2, X ), skol1 ) }.
% 25.55/25.97 parent0[0]: (48) {G0,W3,D2,L1,V0,M1} I { ! orthogonal_lines( skol1, skol2 )
% 25.55/25.97 }.
% 25.55/25.97 parent1[2]: (50176) {G3,W11,D3,L3,V3,M1} R(3100,45) { ! convergent_lines( X
% 25.55/25.97 , Y ), convergent_lines( orthogonal_through_point( Y, Z ), X ),
% 25.55/25.97 orthogonal_lines( X, Y ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 end
% 25.55/25.97 substitution1:
% 25.55/25.97 X := skol1
% 25.55/25.97 Y := skol2
% 25.55/25.97 Z := X
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 resolution: (50476) {G2,W5,D3,L1,V1,M1} { convergent_lines(
% 25.55/25.97 orthogonal_through_point( skol2, X ), skol1 ) }.
% 25.55/25.97 parent0[0]: (50475) {G1,W8,D3,L2,V1,M2} { ! convergent_lines( skol1, skol2
% 25.55/25.97 ), convergent_lines( orthogonal_through_point( skol2, X ), skol1 ) }.
% 25.55/25.97 parent1[0]: (129) {G5,W3,D2,L1,V0,M1} R(125,64) { convergent_lines( skol1,
% 25.55/25.97 skol2 ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 end
% 25.55/25.97 substitution1:
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (50177) {G6,W5,D3,L1,V1,M1} R(50176,48);r(129) {
% 25.55/25.97 convergent_lines( orthogonal_through_point( skol2, X ), skol1 ) }.
% 25.55/25.97 parent0: (50476) {G2,W5,D3,L1,V1,M1} { convergent_lines(
% 25.55/25.97 orthogonal_through_point( skol2, X ), skol1 ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 0 ==> 0
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 resolution: (50477) {G7,W0,D0,L0,V0,M0} { }.
% 25.55/25.97 parent0[0]: (3503) {G7,W5,D3,L1,V1,M1} R(3499,174);r(2) { !
% 25.55/25.97 convergent_lines( orthogonal_through_point( skol2, X ), skol1 ) }.
% 25.55/25.97 parent1[0]: (50177) {G6,W5,D3,L1,V1,M1} R(50176,48);r(129) {
% 25.55/25.97 convergent_lines( orthogonal_through_point( skol2, X ), skol1 ) }.
% 25.55/25.97 substitution0:
% 25.55/25.97 X := X
% 25.55/25.97 end
% 25.55/25.97 substitution1:
% 25.55/25.97 X := X
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 subsumption: (50178) {G8,W0,D0,L0,V0,M0} S(50177);r(3503) { }.
% 25.55/25.97 parent0: (50477) {G7,W0,D0,L0,V0,M0} { }.
% 25.55/25.97 substitution0:
% 25.55/25.97 end
% 25.55/25.97 permutation0:
% 25.55/25.97 end
% 25.55/25.97
% 25.55/25.97 Proof check complete!
% 25.55/25.97
% 25.55/25.97 Memory use:
% 25.55/25.97
% 25.55/25.97 space for terms: 740323
% 25.55/25.97 space for clauses: 1900414
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 clauses generated: 1304370
% 25.55/25.97 clauses kept: 50179
% 25.55/25.97 clauses selected: 2185
% 25.55/25.97 clauses deleted: 1436
% 25.55/25.97 clauses inuse deleted: 58
% 25.55/25.97
% 25.55/25.97 subsentry: 41212436
% 25.55/25.97 literals s-matched: 13086889
% 25.55/25.97 literals matched: 13086003
% 25.55/25.97 full subsumption: 7603278
% 25.55/25.97
% 25.55/25.97 checksum: -1034603010
% 25.55/25.97
% 25.55/25.97
% 25.55/25.97 Bliksem ended
%------------------------------------------------------------------------------