TSTP Solution File: GEO222+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO222+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 02:52:58 EDT 2022
% Result : Theorem 106.39s 106.77s
% Output : Refutation 106.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GEO222+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Fri Jun 17 21:08:58 EDT 2022
% 0.14/0.36 % CPUTime :
% 106.39/106.77 *** allocated 10000 integers for termspace/termends
% 106.39/106.77 *** allocated 10000 integers for clauses
% 106.39/106.77 *** allocated 10000 integers for justifications
% 106.39/106.77 Bliksem 1.12
% 106.39/106.77
% 106.39/106.77
% 106.39/106.77 Automatic Strategy Selection
% 106.39/106.77
% 106.39/106.77
% 106.39/106.77 Clauses:
% 106.39/106.77
% 106.39/106.77 { ! distinct_points( X, X ) }.
% 106.39/106.77 { ! distinct_lines( X, X ) }.
% 106.39/106.77 { ! convergent_lines( X, X ) }.
% 106.39/106.77 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 106.39/106.77 ) }.
% 106.39/106.77 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 106.39/106.77 }.
% 106.39/106.77 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 106.39/106.77 , Z ) }.
% 106.39/106.77 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 106.39/106.77 , Y ) ) }.
% 106.39/106.77 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 106.39/106.77 , Y ) ) }.
% 106.39/106.77 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 106.39/106.77 , Y ), X ) }.
% 106.39/106.77 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 106.39/106.77 , Y ), Y ) }.
% 106.39/106.77 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 106.39/106.77 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 106.39/106.77 apart_point_and_line( Y, T ) }.
% 106.39/106.77 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 106.39/106.77 apart_point_and_line( Z, Y ) }.
% 106.39/106.77 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 106.39/106.77 apart_point_and_line( X, Z ) }.
% 106.39/106.77 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 106.39/106.77 Z ) }.
% 106.39/106.77 { ! convergent_lines( parallel_through_point( Y, X ), Y ) }.
% 106.39/106.77 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 106.39/106.77 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 106.39/106.77 apart_point_and_line( Z, Y ), convergent_lines( X, Y ) }.
% 106.39/106.77 { convergent_lines( X, Y ), unorthogonal_lines( X, Y ) }.
% 106.39/106.77 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Z )
% 106.39/106.77 , convergent_lines( Y, Z ) }.
% 106.39/106.77 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Z )
% 106.39/106.77 , unorthogonal_lines( Y, Z ) }.
% 106.39/106.77 { ! alpha1( X, Y ), convergent_lines( X, Y ) }.
% 106.39/106.77 { ! alpha1( X, Y ), unorthogonal_lines( X, Y ) }.
% 106.39/106.77 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Y )
% 106.39/106.77 }.
% 106.39/106.77 { ! unorthogonal_lines( orthogonal_through_point( Y, X ), Y ) }.
% 106.39/106.77 { ! apart_point_and_line( X, orthogonal_through_point( Y, X ) ) }.
% 106.39/106.77 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 106.39/106.77 apart_point_and_line( Z, Y ), unorthogonal_lines( X, T ),
% 106.39/106.77 unorthogonal_lines( Y, T ) }.
% 106.39/106.77 { convergent_lines( skol2, orthogonal_through_point(
% 106.39/106.77 orthogonal_through_point( skol2, skol1 ), skol1 ) ) }.
% 106.39/106.77
% 106.39/106.77 percentage equality = 0.000000, percentage horn = 0.555556
% 106.39/106.77 This a non-horn, non-equality problem
% 106.39/106.77
% 106.39/106.77
% 106.39/106.77 Options Used:
% 106.39/106.77
% 106.39/106.77 useres = 1
% 106.39/106.77 useparamod = 0
% 106.39/106.77 useeqrefl = 0
% 106.39/106.77 useeqfact = 0
% 106.39/106.77 usefactor = 1
% 106.39/106.77 usesimpsplitting = 0
% 106.39/106.77 usesimpdemod = 0
% 106.39/106.77 usesimpres = 3
% 106.39/106.77
% 106.39/106.77 resimpinuse = 1000
% 106.39/106.77 resimpclauses = 20000
% 106.39/106.77 substype = standard
% 106.39/106.77 backwardsubs = 1
% 106.39/106.77 selectoldest = 5
% 106.39/106.77
% 106.39/106.77 litorderings [0] = split
% 106.39/106.77 litorderings [1] = liftord
% 106.39/106.77
% 106.39/106.77 termordering = none
% 106.39/106.77
% 106.39/106.77 litapriori = 1
% 106.39/106.77 termapriori = 0
% 106.39/106.77 litaposteriori = 0
% 106.39/106.77 termaposteriori = 0
% 106.39/106.77 demodaposteriori = 0
% 106.39/106.77 ordereqreflfact = 0
% 106.39/106.77
% 106.39/106.77 litselect = none
% 106.39/106.77
% 106.39/106.77 maxweight = 15
% 106.39/106.77 maxdepth = 30000
% 106.39/106.77 maxlength = 115
% 106.39/106.77 maxnrvars = 195
% 106.39/106.77 excuselevel = 1
% 106.39/106.77 increasemaxweight = 1
% 106.39/106.77
% 106.39/106.77 maxselected = 10000000
% 106.39/106.77 maxnrclauses = 10000000
% 106.39/106.77
% 106.39/106.77 showgenerated = 0
% 106.39/106.77 showkept = 0
% 106.39/106.77 showselected = 0
% 106.39/106.77 showdeleted = 0
% 106.39/106.77 showresimp = 1
% 106.39/106.77 showstatus = 2000
% 106.39/106.77
% 106.39/106.77 prologoutput = 0
% 106.39/106.77 nrgoals = 5000000
% 106.39/106.77 totalproof = 1
% 106.39/106.77
% 106.39/106.77 Symbols occurring in the translation:
% 106.39/106.77
% 106.39/106.77 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 106.39/106.77 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 106.39/106.77 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 106.39/106.77 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 106.39/106.77 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 106.39/106.77 distinct_points [36, 2] (w:1, o:47, a:1, s:1, b:0),
% 106.39/106.77 distinct_lines [37, 2] (w:1, o:48, a:1, s:1, b:0),
% 106.39/106.77 convergent_lines [38, 2] (w:1, o:46, a:1, s:1, b:0),
% 106.39/106.77 line_connecting [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 106.39/106.77 apart_point_and_line [42, 2] (w:1, o:50, a:1, s:1, b:0),
% 106.39/106.77 intersection_point [43, 2] (w:1, o:51, a:1, s:1, b:0),
% 106.39/106.77 parallel_through_point [46, 2] (w:1, o:53, a:1, s:1, b:0),
% 106.39/106.77 unorthogonal_lines [49, 2] (w:1, o:54, a:1, s:1, b:0),
% 106.39/106.77 orthogonal_through_point [52, 2] (w:1, o:52, a:1, s:1, b:0),
% 106.39/106.77 alpha1 [53, 2] (w:1, o:55, a:1, s:1, b:0),
% 106.39/106.77 skol1 [54, 0] (w:1, o:15, a:1, s:1, b:0),
% 106.39/106.77 skol2 [55, 0] (w:1, o:16, a:1, s:1, b:0).
% 106.39/106.77
% 106.39/106.77
% 106.39/106.77 Starting Search:
% 106.39/106.77
% 106.39/106.77 *** allocated 15000 integers for clauses
% 106.39/106.77 *** allocated 22500 integers for clauses
% 106.39/106.77 *** allocated 33750 integers for clauses
% 106.39/106.77 *** allocated 15000 integers for termspace/termends
% 106.39/106.77 *** allocated 50625 integers for clauses
% 106.39/106.77 Resimplifying inuse:
% 106.39/106.77 Done
% 106.39/106.77
% 106.39/106.77 *** allocated 22500 integers for termspace/termends
% 106.39/106.77 *** allocated 75937 integers for clauses
% 106.39/106.77 *** allocated 33750 integers for termspace/termends
% 106.39/106.77 *** allocated 113905 integers for clauses
% 106.39/106.77 Resimplifying inuse:
% 106.39/106.77 Done
% 106.39/106.77
% 106.39/106.77 Failed to find proof!
% 106.39/106.77 maxweight = 15
% 106.39/106.77 maxnrclauses = 10000000
% 106.39/106.77 Generated: 1580008
% 106.39/106.77 Kept: 1933
% 106.39/106.77
% 106.39/106.77
% 106.39/106.77 The strategy used was not complete!
% 106.39/106.77
% 106.39/106.77 Increased maxweight to 16
% 106.39/106.77
% 106.39/106.77 Starting Search:
% 106.39/106.77
% 106.39/106.77 Resimplifying inuse:
% 106.39/106.77 Done
% 106.39/106.77
% 106.39/106.77
% 106.39/106.77 Intermediate Status:
% 106.39/106.77 Generated: 16577
% 106.39/106.77 Kept: 2022
% 106.39/106.77 Inuse: 204
% 106.39/106.77 Deleted: 0
% 106.39/106.77 Deletedinuse: 0
% 106.39/106.77
% 106.39/106.77 Resimplifying inuse:
% 106.39/106.77 Done
% 106.39/106.77
% 106.39/106.77 *** allocated 50625 integers for termspace/termends
% 106.39/106.77 *** allocated 170857 integers for clauses
% 106.39/106.77 Resimplifying inuse:
% 106.39/106.77 Done
% 106.39/106.77
% 106.39/106.77 *** allocated 75937 integers for termspace/termends
% 106.39/106.77 Resimplifying inuse:
% 106.39/106.77 Done
% 106.39/106.77
% 106.39/106.77 Failed to find proof!
% 106.39/106.77 maxweight = 16
% 106.39/106.77 maxnrclauses = 10000000
% 106.39/106.77 Generated: 4889690
% 106.39/106.77 Kept: 3418
% 106.39/106.77
% 106.39/106.77
% 106.39/106.77 The strategy used was not complete!
% 106.39/106.77
% 106.39/106.77 Increased maxweight to 17
% 106.39/106.77
% 106.39/106.77 Starting Search:
% 106.39/106.77
% 106.39/106.77 Resimplifying inuse:
% 106.39/106.77 Done
% 106.39/106.77
% 106.39/106.77
% 106.39/106.77 Intermediate Status:
% 106.39/106.77 Generated: 13877
% 106.39/106.77 Kept: 2006
% 106.39/106.77 Inuse: 166
% 106.39/106.77 Deleted: 0
% 106.39/106.77 Deletedinuse: 0
% 106.39/106.77
% 106.39/106.77 Resimplifying inuse:
% 106.39/106.77 Done
% 106.39/106.77
% 106.39/106.77 Resimplifying inuse:
% 106.39/106.77 Done
% 106.39/106.77
% 106.39/106.77
% 106.39/106.77 Intermediate Status:
% 106.39/106.77 Generated: 39352
% 106.39/106.77 Kept: 4026
% 106.39/106.77 Inuse: 353
% 106.39/106.77 Deleted: 1
% 106.39/106.77 Deletedinuse: 0
% 106.39/106.77
% 106.39/106.77 Resimplifying inuse:
% 106.39/106.77 Done
% 106.39/106.77
% 106.39/106.77 *** allocated 256285 integers for clauses
% 106.39/106.77 *** allocated 113905 integers for termspace/termends
% 106.39/106.77 Resimplifying inuse:
% 106.39/106.77 Done
% 106.39/106.77
% 106.39/106.77
% 106.39/106.77 Intermediate Status:
% 106.39/106.77 Generated: 7035552
% 106.39/106.77 Kept: 6049
% 106.39/106.77 Inuse: 3880
% 106.39/106.77 Deleted: 75
% 106.39/106.77 Deletedinuse: 6
% 106.39/106.77
% 106.39/106.77 Resimplifying inuse:
% 106.39/106.77 Done
% 106.39/106.77
% 106.39/106.77 *** allocated 384427 integers for clauses
% 106.39/106.77 *** allocated 170857 integers for termspace/termends
% 106.39/106.77 Resimplifying inuse:
% 106.39/106.77 Done
% 106.39/106.77
% 106.39/106.77
% 106.39/106.77 Intermediate Status:
% 106.39/106.77 Generated: 14817282
% 106.39/106.77 Kept: 8729
% 106.39/106.77 Inuse: 6658
% 106.39/106.77 Deleted: 202
% 106.39/106.77 Deletedinuse: 8
% 106.39/106.77
% 106.39/106.77 Resimplifying inuse:
% 106.39/106.77 Done
% 106.39/106.77
% 106.39/106.77 *** allocated 576640 integers for clauses
% 106.39/106.77 Resimplifying inuse:
% 106.39/106.77 Done
% 106.39/106.77
% 106.39/106.77 *** allocated 256285 integers for termspace/termends
% 106.39/106.77
% 106.39/106.77 Bliksems!, er is een bewijs:
% 106.39/106.77 % SZS status Theorem
% 106.39/106.77 % SZS output start Refutation
% 106.39/106.77
% 106.39/106.77 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 106.39/106.77 (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 106.39/106.77 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 106.39/106.77 , ! distinct_lines( X, Y ) }.
% 106.39/106.77 (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), convergent_lines( Y,
% 106.39/106.77 Z ), ! convergent_lines( X, Y ) }.
% 106.39/106.77 (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 106.39/106.77 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 106.39/106.77 (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 106.39/106.77 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 106.39/106.77 (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ), apart_point_and_line(
% 106.39/106.77 X, Z ), ! apart_point_and_line( X, Y ) }.
% 106.39/106.77 (13) {G0,W9,D2,L3,V3,M1} I { ! convergent_lines( X, Y ), convergent_lines(
% 106.39/106.77 X, Z ), distinct_lines( Y, Z ) }.
% 106.39/106.77 (16) {G0,W12,D2,L4,V3,M2} I { ! distinct_lines( X, Y ), convergent_lines( X
% 106.39/106.77 , Y ), apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ) }.
% 106.39/106.77 (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), unorthogonal_lines(
% 106.39/106.77 X, Y ) }.
% 106.39/106.77 (18) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 106.39/106.77 unorthogonal_lines( X, Y ), convergent_lines( Y, Z ), alpha1( X, Z ) }.
% 106.39/106.77 (19) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 106.39/106.77 unorthogonal_lines( X, Y ), unorthogonal_lines( Y, Z ), alpha1( X, Z )
% 106.39/106.77 }.
% 106.39/106.77 (20) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), ! alpha1( X, Y ) }.
% 106.39/106.77 (21) {G0,W6,D2,L2,V2,M1} I { unorthogonal_lines( X, Y ), ! alpha1( X, Y )
% 106.39/106.77 }.
% 106.39/106.77 (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines( orthogonal_through_point
% 106.39/106.77 ( Y, X ), Y ) }.
% 106.39/106.77 (24) {G0,W5,D3,L1,V2,M1} I { ! apart_point_and_line( X,
% 106.39/106.77 orthogonal_through_point( Y, X ) ) }.
% 106.39/106.77 (25) {G0,W15,D2,L5,V4,M2} I { ! distinct_lines( X, Y ),
% 106.39/106.77 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 106.39/106.77 unorthogonal_lines( Y, T ), unorthogonal_lines( X, T ) }.
% 106.39/106.77 (26) {G0,W7,D4,L1,V0,M1} I { convergent_lines( skol2,
% 106.39/106.77 orthogonal_through_point( orthogonal_through_point( skol2, skol1 ), skol1
% 106.39/106.77 ) ) }.
% 106.39/106.77 (34) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 106.39/106.77 ( X, Y ) }.
% 106.39/106.77 (35) {G2,W9,D2,L3,V3,M3} R(34,4) { distinct_lines( Z, X ), ! distinct_lines
% 106.39/106.77 ( Y, Z ), distinct_lines( X, Y ) }.
% 106.39/106.77 (37) {G1,W5,D3,L1,V2,M1} R(17,23) { convergent_lines(
% 106.39/106.77 orthogonal_through_point( X, Y ), X ) }.
% 106.39/106.77 (40) {G2,W8,D3,L2,V3,M2} R(5,37) { convergent_lines( X, Z ),
% 106.39/106.77 convergent_lines( orthogonal_through_point( X, Y ), Z ) }.
% 106.39/106.77 (43) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 106.39/106.77 convergent_lines( X, Y ) }.
% 106.39/106.77 (44) {G2,W9,D2,L3,V3,M3} R(43,5) { convergent_lines( Z, X ), !
% 106.39/106.77 convergent_lines( Y, Z ), convergent_lines( X, Y ) }.
% 106.39/106.77 (46) {G2,W5,D3,L1,V2,M1} R(43,37) { convergent_lines( X,
% 106.39/106.77 orthogonal_through_point( X, Y ) ) }.
% 106.39/106.77 (97) {G3,W8,D3,L2,V3,M2} R(40,43) { convergent_lines( Z, X ),
% 106.39/106.77 convergent_lines( orthogonal_through_point( X, Y ), Z ) }.
% 106.39/106.77 (185) {G1,W12,D2,L4,V4,M2} R(12,12) { distinct_lines( X, Y ),
% 106.39/106.77 distinct_lines( Y, T ), apart_point_and_line( Z, T ), !
% 106.39/106.77 apart_point_and_line( Z, X ) }.
% 106.39/106.77 (194) {G1,W11,D3,L3,V3,M1} R(12,8) { distinct_lines( X, Y ), !
% 106.39/106.77 convergent_lines( Y, Z ), ! apart_point_and_line( intersection_point( Y,
% 106.39/106.77 Z ), X ) }.
% 106.39/106.77 (198) {G1,W8,D3,L2,V3,M1} R(12,24) { distinct_lines( X,
% 106.39/106.77 orthogonal_through_point( Y, Z ) ), ! apart_point_and_line( Z, X ) }.
% 106.39/106.77 (200) {G2,W11,D3,L3,V4,M1} R(198,12) { distinct_lines( X,
% 106.39/106.77 orthogonal_through_point( Y, Z ) ), distinct_lines( T, X ), !
% 106.39/106.77 apart_point_and_line( Z, T ) }.
% 106.39/106.77 (215) {G3,W10,D4,L2,V1,M2} R(44,26) { convergent_lines( X, skol2 ),
% 106.39/106.77 convergent_lines( orthogonal_through_point( orthogonal_through_point(
% 106.39/106.77 skol2, skol1 ), skol1 ), X ) }.
% 106.39/106.77 (216) {G3,W9,D2,L3,V3,M3} R(44,43) { convergent_lines( Z, X ),
% 106.39/106.77 convergent_lines( Z, Y ), ! convergent_lines( X, Y ) }.
% 106.39/106.77 (225) {G2,W9,D2,L3,V3,M1} R(13,34) { ! convergent_lines( X, Y ),
% 106.39/106.77 convergent_lines( X, Z ), distinct_lines( Z, Y ) }.
% 106.39/106.77 (230) {G3,W9,D2,L3,V3,M3} R(35,34) { distinct_lines( Z, X ), distinct_lines
% 106.39/106.77 ( Z, Y ), ! distinct_lines( X, Y ) }.
% 106.39/106.77 (249) {G1,W14,D3,L4,V3,M1} R(16,9) { convergent_lines( X, Y ), !
% 106.39/106.77 distinct_lines( X, Y ), ! convergent_lines( Z, X ), apart_point_and_line
% 106.39/106.77 ( intersection_point( Z, X ), Y ) }.
% 106.39/106.77 (268) {G1,W12,D2,L4,V3,M2} R(18,21) { ! convergent_lines( X, Y ),
% 106.39/106.77 convergent_lines( Y, Z ), unorthogonal_lines( X, Z ), !
% 106.39/106.77 unorthogonal_lines( X, Y ) }.
% 106.39/106.77 (290) {G1,W12,D2,L4,V3,M2} R(19,20) { ! convergent_lines( X, Y ),
% 106.39/106.77 convergent_lines( X, Z ), ! unorthogonal_lines( X, Y ),
% 106.39/106.77 unorthogonal_lines( Y, Z ) }.
% 106.39/106.77 (306) {G1,W16,D3,L4,V4,M1} R(25,23) { ! distinct_lines( X,
% 106.39/106.77 orthogonal_through_point( Y, Z ) ), apart_point_and_line( T, X ),
% 106.39/106.77 apart_point_and_line( T, orthogonal_through_point( Y, Z ) ),
% 106.39/106.77 unorthogonal_lines( X, Y ) }.
% 106.39/106.77 (307) {G1,W16,D3,L4,V4,M1} R(25,23) { ! distinct_lines(
% 106.39/106.77 orthogonal_through_point( X, Y ), Z ), apart_point_and_line( T,
% 106.39/106.77 orthogonal_through_point( X, Y ) ), apart_point_and_line( T, Z ),
% 106.39/106.77 unorthogonal_lines( Z, X ) }.
% 106.39/106.77 (1976) {G3,W14,D3,L4,V5,M1} R(200,12) { distinct_lines( X,
% 106.39/106.77 orthogonal_through_point( Y, Z ) ), distinct_lines( T, X ),
% 106.39/106.77 distinct_lines( U, T ), ! apart_point_and_line( Z, U ) }.
% 106.39/106.77 (1978) {G4,W8,D3,L2,V3,M1} F(1976);r(34) { distinct_lines(
% 106.39/106.77 orthogonal_through_point( Y, Z ), X ), ! apart_point_and_line( Z, X ) }.
% 106.39/106.77 (2715) {G2,W17,D3,L5,V5,M1} R(185,194) { distinct_lines( X, Y ),
% 106.39/106.77 distinct_lines( Y, Z ), distinct_lines( Z, T ), ! convergent_lines( T, U
% 106.39/106.77 ), ! apart_point_and_line( intersection_point( T, U ), X ) }.
% 106.39/106.77 (2741) {G3,W11,D3,L3,V3,M1} F(2715);r(34) { ! convergent_lines( Y, Z ),
% 106.39/106.77 distinct_lines( Y, X ), ! apart_point_and_line( intersection_point( Y, Z
% 106.39/106.77 ), X ) }.
% 106.39/106.77 (3213) {G4,W8,D3,L2,V3,M1} R(268,23);r(97) { convergent_lines( Z, X ), !
% 106.39/106.77 unorthogonal_lines( orthogonal_through_point( X, Y ), Z ) }.
% 106.39/106.77 (3217) {G5,W16,D3,L4,V4,M1} R(3213,290) { convergent_lines( X, Y ), !
% 106.39/106.77 convergent_lines( Z, orthogonal_through_point( Y, T ) ), convergent_lines
% 106.39/106.77 ( Z, X ), ! unorthogonal_lines( Z, orthogonal_through_point( Y, T ) ) }.
% 106.39/106.77 (3218) {G6,W10,D3,L2,V2,M1} F(3217);r(2) { ! convergent_lines( X,
% 106.39/106.77 orthogonal_through_point( X, Y ) ), ! unorthogonal_lines( X,
% 106.39/106.77 orthogonal_through_point( X, Y ) ) }.
% 106.39/106.77 (3219) {G7,W5,D3,L1,V2,M1} S(3218);r(46) { ! unorthogonal_lines( X,
% 106.39/106.77 orthogonal_through_point( X, Y ) ) }.
% 106.39/106.77 (4619) {G4,W12,D2,L4,V3,M2} R(249,2741);f { convergent_lines( X, Y ), !
% 106.39/106.77 convergent_lines( Z, X ), distinct_lines( Z, Y ), ! distinct_lines( X, Y
% 106.39/106.77 ) }.
% 106.39/106.77 (4635) {G5,W12,D2,L4,V3,M2} R(4619,34) { convergent_lines( X, Y ), !
% 106.39/106.77 convergent_lines( Z, X ), ! distinct_lines( Y, X ), distinct_lines( Z, Y
% 106.39/106.77 ) }.
% 106.39/106.77 (4644) {G6,W12,D2,L4,V3,M2} R(4635,34) { convergent_lines( X, Y ), !
% 106.39/106.77 convergent_lines( Z, X ), distinct_lines( Y, Z ), ! distinct_lines( Y, X
% 106.39/106.77 ) }.
% 106.39/106.77 (4648) {G7,W15,D2,L5,V4,M3} R(4644,230) { convergent_lines( X, Y ), !
% 106.39/106.77 convergent_lines( Z, X ), distinct_lines( Y, T ), ! distinct_lines( X, T
% 106.39/106.77 ), distinct_lines( Y, Z ) }.
% 106.39/106.77 (4655) {G8,W12,D2,L4,V3,M2} F(4648) { convergent_lines( X, Y ), !
% 106.39/106.77 convergent_lines( Z, X ), ! distinct_lines( X, Z ), distinct_lines( Y, Z
% 106.39/106.77 ) }.
% 106.39/106.77 (4665) {G9,W15,D2,L5,V4,M1} R(4655,225) { convergent_lines( X, Y ), !
% 106.39/106.77 convergent_lines( Z, X ), ! convergent_lines( T, Z ), convergent_lines( T
% 106.39/106.77 , X ), distinct_lines( Y, Z ) }.
% 106.39/106.77 (4671) {G10,W9,D2,L3,V2,M1} F(4665);r(2) { ! convergent_lines( Y, X ), !
% 106.39/106.77 convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 106.39/106.77 (4692) {G11,W6,D2,L2,V2,M1} S(4671);r(43) { ! convergent_lines( X, Y ),
% 106.39/106.77 distinct_lines( X, Y ) }.
% 106.39/106.77 (4839) {G2,W17,D3,L3,V4,M2} R(306,23) { ! distinct_lines(
% 106.39/106.77 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 106.39/106.77 apart_point_and_line( T, orthogonal_through_point( X, Z ) ),
% 106.39/106.77 apart_point_and_line( T, orthogonal_through_point( X, Y ) ) }.
% 106.39/106.77 (4886) {G8,W17,D4,L3,V4,M2} R(307,3219) { ! distinct_lines(
% 106.39/106.77 orthogonal_through_point( orthogonal_through_point( X, Y ), Z ), X ),
% 106.39/106.77 apart_point_and_line( T, X ), apart_point_and_line( T,
% 106.39/106.77 orthogonal_through_point( orthogonal_through_point( X, Y ), Z ) ) }.
% 106.39/106.77 (6002) {G3,W12,D3,L2,V3,M1} R(4839,24) { ! distinct_lines(
% 106.39/106.77 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 106.39/106.77 apart_point_and_line( Y, orthogonal_through_point( X, Z ) ) }.
% 106.39/106.77 (6208) {G5,W14,D3,L2,V4,M2} R(6002,1978) { distinct_lines(
% 106.39/106.77 orthogonal_through_point( T, Y ), orthogonal_through_point( X, Z ) ), !
% 106.39/106.77 distinct_lines( orthogonal_through_point( X, Y ),
% 106.39/106.77 orthogonal_through_point( X, Z ) ) }.
% 106.39/106.77 (6214) {G4,W16,D5,L2,V3,M1} R(6002,8) { ! convergent_lines(
% 106.39/106.77 orthogonal_through_point( X, Y ), Z ), ! distinct_lines(
% 106.39/106.77 orthogonal_through_point( X, intersection_point( orthogonal_through_point
% 106.39/106.77 ( X, Y ), Z ) ), orthogonal_through_point( X, Y ) ) }.
% 106.39/106.77 (6302) {G12,W14,D3,L2,V4,M1} R(6208,4692) { ! convergent_lines(
% 106.39/106.77 orthogonal_through_point( Z, Y ), orthogonal_through_point( Z, T ) ),
% 106.39/106.77 distinct_lines( orthogonal_through_point( X, Y ),
% 106.39/106.77 orthogonal_through_point( Z, T ) ) }.
% 106.39/106.77 (6357) {G13,W14,D3,L2,V4,M1} R(6302,34) { ! convergent_lines(
% 106.39/106.77 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 106.39/106.77 distinct_lines( orthogonal_through_point( X, Z ),
% 106.39/106.77 orthogonal_through_point( T, Y ) ) }.
% 106.39/106.77 (6916) {G14,W16,D5,L2,V3,M2} R(6214,6357) { ! convergent_lines(
% 106.39/106.77 orthogonal_through_point( X, Y ), orthogonal_through_point( X,
% 106.39/106.77 intersection_point( orthogonal_through_point( X, Y ), Z ) ) ), !
% 106.39/106.77 convergent_lines( orthogonal_through_point( X, Y ), Z ) }.
% 106.39/106.77 (6917) {G13,W16,D5,L2,V3,M2} R(6214,6302) { ! convergent_lines(
% 106.39/106.77 orthogonal_through_point( X, intersection_point( orthogonal_through_point
% 106.39/106.77 ( X, Y ), Z ) ), orthogonal_through_point( X, Y ) ), ! convergent_lines(
% 106.39/106.77 orthogonal_through_point( X, Y ), Z ) }.
% 106.39/106.77 (6938) {G15,W11,D5,L1,V2,M1} R(6916,37) { ! convergent_lines(
% 106.39/106.77 orthogonal_through_point( X, Y ), orthogonal_through_point( X,
% 106.39/106.77 intersection_point( orthogonal_through_point( X, Y ), X ) ) ) }.
% 106.39/106.77 (7062) {G16,W15,D6,L1,V0,M1} R(6938,215) { convergent_lines(
% 106.39/106.77 orthogonal_through_point( orthogonal_through_point( skol2, skol1 ),
% 106.39/106.77 intersection_point( orthogonal_through_point( orthogonal_through_point(
% 106.39/106.77 skol2, skol1 ), skol1 ), orthogonal_through_point( skol2, skol1 ) ) ),
% 106.39/106.77 skol2 ) }.
% 106.39/106.77 (7579) {G9,W10,D4,L2,V3,M1} R(4886,24) { ! distinct_lines(
% 106.39/106.77 orthogonal_through_point( orthogonal_through_point( X, Y ), Z ), X ),
% 106.39/106.77 apart_point_and_line( Z, X ) }.
% 106.39/106.77 (7631) {G10,W12,D4,L2,V4,M2} R(7579,1978) { distinct_lines(
% 106.39/106.77 orthogonal_through_point( T, Z ), X ), ! distinct_lines(
% 106.39/106.77 orthogonal_through_point( orthogonal_through_point( X, Y ), Z ), X ) }.
% 106.39/106.77 (7638) {G10,W12,D4,L2,V3,M1} R(7579,9) { ! convergent_lines( Z, X ), !
% 106.39/106.77 distinct_lines( orthogonal_through_point( orthogonal_through_point( X, Y
% 106.39/106.77 ), intersection_point( Z, X ) ), X ) }.
% 106.39/106.77 (9429) {G12,W12,D4,L2,V4,M1} R(7631,4692) { ! convergent_lines(
% 106.39/106.77 orthogonal_through_point( orthogonal_through_point( Z, T ), Y ), Z ),
% 106.39/106.77 distinct_lines( orthogonal_through_point( X, Y ), Z ) }.
% 106.39/106.77 (9603) {G13,W12,D4,L2,V3,M2} R(7638,9429) { ! convergent_lines(
% 106.39/106.77 orthogonal_through_point( orthogonal_through_point( Y, Z ),
% 106.39/106.77 intersection_point( X, Y ) ), Y ), ! convergent_lines( X, Y ) }.
% 106.39/106.77 (9854) {G14,W12,D4,L2,V3,M2} R(9603,43) { ! convergent_lines( X, Z ), !
% 106.39/106.77 convergent_lines( orthogonal_through_point( orthogonal_through_point( X,
% 106.39/106.77 Y ), intersection_point( Z, X ) ), X ) }.
% 106.39/106.77 (10085) {G15,W15,D4,L3,V4,M3} R(9854,216) { convergent_lines(
% 106.39/106.77 orthogonal_through_point( orthogonal_through_point( X, Z ),
% 106.39/106.77 intersection_point( Y, X ) ), T ), ! convergent_lines( X, T ), !
% 106.39/106.77 convergent_lines( X, Y ) }.
% 106.39/106.77 (10101) {G16,W12,D4,L2,V3,M2} F(10085) { ! convergent_lines( X, Z ),
% 106.39/106.77 convergent_lines( orthogonal_through_point( orthogonal_through_point( X,
% 106.39/106.77 Y ), intersection_point( Z, X ) ), Z ) }.
% 106.39/106.77 (10108) {G17,W7,D4,L1,V3,M1} R(10101,6917);r(43) { ! convergent_lines(
% 106.39/106.77 orthogonal_through_point( orthogonal_through_point( X, Y ), Z ), X ) }.
% 106.39/106.77 (10305) {G18,W0,D0,L0,V0,M0} R(10108,7062) { }.
% 106.39/106.77
% 106.39/106.77
% 106.39/106.77 % SZS output end Refutation
% 106.39/106.77 found a proof!
% 106.39/106.77
% 106.39/106.77
% 106.39/106.77 Unprocessed initial clauses:
% 106.39/106.77
% 106.39/106.77 (10307) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 106.39/106.77 (10308) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 106.39/106.77 (10309) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 106.39/106.77 (10310) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points(
% 106.39/106.77 X, Z ), distinct_points( Y, Z ) }.
% 106.39/106.77 (10311) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X
% 106.39/106.77 , Z ), distinct_lines( Y, Z ) }.
% 106.39/106.77 (10312) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 106.39/106.77 ( X, Z ), convergent_lines( Y, Z ) }.
% 106.39/106.77 (10313) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 106.39/106.77 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 106.39/106.77 (10314) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 106.39/106.77 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 106.39/106.77 (10315) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 106.39/106.77 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 106.39/106.77 (10316) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 106.39/106.77 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 106.39/106.77 (10317) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 106.39/106.77 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 106.39/106.77 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 106.39/106.77 (10318) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 106.39/106.77 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 106.39/106.77 (10319) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 106.39/106.77 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 106.39/106.77 (10320) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines(
% 106.39/106.77 Y, Z ), convergent_lines( X, Z ) }.
% 106.39/106.77 (10321) {G0,W5,D3,L1,V2,M1} { ! convergent_lines( parallel_through_point(
% 106.39/106.77 Y, X ), Y ) }.
% 106.39/106.77 (10322) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 106.39/106.77 parallel_through_point( Y, X ) ) }.
% 106.39/106.77 (10323) {G0,W12,D2,L4,V3,M4} { ! distinct_lines( X, Y ),
% 106.39/106.77 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 106.39/106.77 convergent_lines( X, Y ) }.
% 106.39/106.77 (10324) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), unorthogonal_lines
% 106.39/106.77 ( X, Y ) }.
% 106.39/106.77 (10325) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 106.39/106.77 unorthogonal_lines( X, Y ), alpha1( X, Z ), convergent_lines( Y, Z ) }.
% 106.39/106.77 (10326) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 106.39/106.77 unorthogonal_lines( X, Y ), alpha1( X, Z ), unorthogonal_lines( Y, Z )
% 106.39/106.77 }.
% 106.39/106.77 (10327) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), convergent_lines( X, Y )
% 106.39/106.77 }.
% 106.39/106.77 (10328) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), unorthogonal_lines( X, Y )
% 106.39/106.77 }.
% 106.39/106.77 (10329) {G0,W9,D2,L3,V2,M3} { ! convergent_lines( X, Y ), !
% 106.39/106.77 unorthogonal_lines( X, Y ), alpha1( X, Y ) }.
% 106.39/106.77 (10330) {G0,W5,D3,L1,V2,M1} { ! unorthogonal_lines(
% 106.39/106.77 orthogonal_through_point( Y, X ), Y ) }.
% 106.39/106.77 (10331) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 106.39/106.77 orthogonal_through_point( Y, X ) ) }.
% 106.39/106.77 (10332) {G0,W15,D2,L5,V4,M5} { ! distinct_lines( X, Y ),
% 106.39/106.77 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 106.39/106.77 unorthogonal_lines( X, T ), unorthogonal_lines( Y, T ) }.
% 106.39/106.77 (10333) {G0,W7,D4,L1,V0,M1} { convergent_lines( skol2,
% 106.39/106.77 orthogonal_through_point( orthogonal_through_point( skol2, skol1 ), skol1
% 106.39/106.77 ) ) }.
% 106.39/106.77
% 106.39/106.77
% 106.39/106.77 Total Proof:
% 106.39/106.77
% 106.39/106.77 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 106.39/106.77 parent0: (10308) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 106.39/106.77 parent0: (10309) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 106.39/106.77 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 106.39/106.77 parent0: (10311) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 106.39/106.77 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := Z
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 2
% 106.39/106.77 1 ==> 0
% 106.39/106.77 2 ==> 1
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 106.39/106.77 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 106.39/106.77 parent0: (10312) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 106.39/106.77 convergent_lines( X, Z ), convergent_lines( Y, Z ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := Z
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 2
% 106.39/106.77 1 ==> 0
% 106.39/106.77 2 ==> 1
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 106.39/106.77 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 106.39/106.77 parent0: (10315) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 106.39/106.77 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 1 ==> 1
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 106.39/106.77 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 106.39/106.77 parent0: (10316) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 106.39/106.77 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 1 ==> 1
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 106.39/106.77 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 106.39/106.77 parent0: (10319) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 106.39/106.77 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := Z
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 2
% 106.39/106.77 1 ==> 0
% 106.39/106.77 2 ==> 1
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (13) {G0,W9,D2,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 106.39/106.77 convergent_lines( X, Z ), distinct_lines( Y, Z ) }.
% 106.39/106.77 parent0: (10320) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 106.39/106.77 distinct_lines( Y, Z ), convergent_lines( X, Z ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := Z
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 1 ==> 2
% 106.39/106.77 2 ==> 1
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (16) {G0,W12,D2,L4,V3,M2} I { ! distinct_lines( X, Y ),
% 106.39/106.77 convergent_lines( X, Y ), apart_point_and_line( Z, X ),
% 106.39/106.77 apart_point_and_line( Z, Y ) }.
% 106.39/106.77 parent0: (10323) {G0,W12,D2,L4,V3,M4} { ! distinct_lines( X, Y ),
% 106.39/106.77 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 106.39/106.77 convergent_lines( X, Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := Z
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 1 ==> 2
% 106.39/106.77 2 ==> 3
% 106.39/106.77 3 ==> 1
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ),
% 106.39/106.77 unorthogonal_lines( X, Y ) }.
% 106.39/106.77 parent0: (10324) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ),
% 106.39/106.77 unorthogonal_lines( X, Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 1 ==> 1
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (18) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 106.39/106.77 unorthogonal_lines( X, Y ), convergent_lines( Y, Z ), alpha1( X, Z ) }.
% 106.39/106.77 parent0: (10325) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 106.39/106.77 unorthogonal_lines( X, Y ), alpha1( X, Z ), convergent_lines( Y, Z ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := Z
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 1 ==> 1
% 106.39/106.77 2 ==> 3
% 106.39/106.77 3 ==> 2
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (19) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 106.39/106.77 unorthogonal_lines( X, Y ), unorthogonal_lines( Y, Z ), alpha1( X, Z )
% 106.39/106.77 }.
% 106.39/106.77 parent0: (10326) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 106.39/106.77 unorthogonal_lines( X, Y ), alpha1( X, Z ), unorthogonal_lines( Y, Z )
% 106.39/106.77 }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := Z
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 1 ==> 1
% 106.39/106.77 2 ==> 3
% 106.39/106.77 3 ==> 2
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (20) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), !
% 106.39/106.77 alpha1( X, Y ) }.
% 106.39/106.77 parent0: (10327) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), convergent_lines
% 106.39/106.77 ( X, Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 1
% 106.39/106.77 1 ==> 0
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (21) {G0,W6,D2,L2,V2,M1} I { unorthogonal_lines( X, Y ), !
% 106.39/106.77 alpha1( X, Y ) }.
% 106.39/106.77 parent0: (10328) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ),
% 106.39/106.77 unorthogonal_lines( X, Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 1
% 106.39/106.77 1 ==> 0
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 106.39/106.77 orthogonal_through_point( Y, X ), Y ) }.
% 106.39/106.77 parent0: (10330) {G0,W5,D3,L1,V2,M1} { ! unorthogonal_lines(
% 106.39/106.77 orthogonal_through_point( Y, X ), Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (24) {G0,W5,D3,L1,V2,M1} I { ! apart_point_and_line( X,
% 106.39/106.77 orthogonal_through_point( Y, X ) ) }.
% 106.39/106.77 parent0: (10331) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 106.39/106.77 orthogonal_through_point( Y, X ) ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (25) {G0,W15,D2,L5,V4,M2} I { ! distinct_lines( X, Y ),
% 106.39/106.77 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 106.39/106.77 unorthogonal_lines( Y, T ), unorthogonal_lines( X, T ) }.
% 106.39/106.77 parent0: (10332) {G0,W15,D2,L5,V4,M5} { ! distinct_lines( X, Y ),
% 106.39/106.77 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 106.39/106.77 unorthogonal_lines( X, T ), unorthogonal_lines( Y, T ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := Z
% 106.39/106.77 T := T
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 1 ==> 1
% 106.39/106.77 2 ==> 2
% 106.39/106.77 3 ==> 4
% 106.39/106.77 4 ==> 3
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (26) {G0,W7,D4,L1,V0,M1} I { convergent_lines( skol2,
% 106.39/106.77 orthogonal_through_point( orthogonal_through_point( skol2, skol1 ), skol1
% 106.39/106.77 ) ) }.
% 106.39/106.77 parent0: (10333) {G0,W7,D4,L1,V0,M1} { convergent_lines( skol2,
% 106.39/106.77 orthogonal_through_point( orthogonal_through_point( skol2, skol1 ), skol1
% 106.39/106.77 ) ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10467) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 106.39/106.77 distinct_lines( X, Y ) }.
% 106.39/106.77 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 106.39/106.77 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 106.39/106.77 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := X
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (34) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 106.39/106.77 distinct_lines( X, Y ) }.
% 106.39/106.77 parent0: (10467) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 106.39/106.77 distinct_lines( X, Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := X
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 1
% 106.39/106.77 1 ==> 0
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10469) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ),
% 106.39/106.77 distinct_lines( Z, Y ), ! distinct_lines( X, Z ) }.
% 106.39/106.77 parent0[0]: (34) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 106.39/106.77 distinct_lines( X, Y ) }.
% 106.39/106.77 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 106.39/106.77 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := X
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Z
% 106.39/106.77 Z := Y
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (35) {G2,W9,D2,L3,V3,M3} R(34,4) { distinct_lines( Z, X ), !
% 106.39/106.77 distinct_lines( Y, Z ), distinct_lines( X, Y ) }.
% 106.39/106.77 parent0: (10469) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ),
% 106.39/106.77 distinct_lines( Z, Y ), ! distinct_lines( X, Z ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := X
% 106.39/106.77 Z := Z
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 2
% 106.39/106.77 1 ==> 0
% 106.39/106.77 2 ==> 1
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10472) {G1,W5,D3,L1,V2,M1} { convergent_lines(
% 106.39/106.77 orthogonal_through_point( X, Y ), X ) }.
% 106.39/106.77 parent0[0]: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 106.39/106.77 orthogonal_through_point( Y, X ), Y ) }.
% 106.39/106.77 parent1[1]: (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ),
% 106.39/106.77 unorthogonal_lines( X, Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := X
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := orthogonal_through_point( X, Y )
% 106.39/106.77 Y := X
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (37) {G1,W5,D3,L1,V2,M1} R(17,23) { convergent_lines(
% 106.39/106.77 orthogonal_through_point( X, Y ), X ) }.
% 106.39/106.77 parent0: (10472) {G1,W5,D3,L1,V2,M1} { convergent_lines(
% 106.39/106.77 orthogonal_through_point( X, Y ), X ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10473) {G1,W8,D3,L2,V3,M2} { convergent_lines(
% 106.39/106.77 orthogonal_through_point( X, Y ), Z ), convergent_lines( X, Z ) }.
% 106.39/106.77 parent0[2]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 106.39/106.77 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 106.39/106.77 parent1[0]: (37) {G1,W5,D3,L1,V2,M1} R(17,23) { convergent_lines(
% 106.39/106.77 orthogonal_through_point( X, Y ), X ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := orthogonal_through_point( X, Y )
% 106.39/106.77 Y := X
% 106.39/106.77 Z := Z
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (40) {G2,W8,D3,L2,V3,M2} R(5,37) { convergent_lines( X, Z ),
% 106.39/106.77 convergent_lines( orthogonal_through_point( X, Y ), Z ) }.
% 106.39/106.77 parent0: (10473) {G1,W8,D3,L2,V3,M2} { convergent_lines(
% 106.39/106.77 orthogonal_through_point( X, Y ), Z ), convergent_lines( X, Z ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := Z
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 1
% 106.39/106.77 1 ==> 0
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10474) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 106.39/106.77 convergent_lines( X, Y ) }.
% 106.39/106.77 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 106.39/106.77 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 106.39/106.77 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := X
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (43) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 106.39/106.77 convergent_lines( X, Y ) }.
% 106.39/106.77 parent0: (10474) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 106.39/106.77 convergent_lines( X, Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := X
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 1
% 106.39/106.77 1 ==> 0
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10476) {G1,W9,D2,L3,V3,M3} { convergent_lines( Y, X ),
% 106.39/106.77 convergent_lines( Z, Y ), ! convergent_lines( X, Z ) }.
% 106.39/106.77 parent0[0]: (43) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 106.39/106.77 convergent_lines( X, Y ) }.
% 106.39/106.77 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 106.39/106.77 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := X
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Z
% 106.39/106.77 Z := Y
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (44) {G2,W9,D2,L3,V3,M3} R(43,5) { convergent_lines( Z, X ), !
% 106.39/106.77 convergent_lines( Y, Z ), convergent_lines( X, Y ) }.
% 106.39/106.77 parent0: (10476) {G1,W9,D2,L3,V3,M3} { convergent_lines( Y, X ),
% 106.39/106.77 convergent_lines( Z, Y ), ! convergent_lines( X, Z ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := X
% 106.39/106.77 Z := Z
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 2
% 106.39/106.77 1 ==> 0
% 106.39/106.77 2 ==> 1
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10479) {G2,W5,D3,L1,V2,M1} { convergent_lines( X,
% 106.39/106.77 orthogonal_through_point( X, Y ) ) }.
% 106.39/106.77 parent0[0]: (43) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 106.39/106.77 convergent_lines( X, Y ) }.
% 106.39/106.77 parent1[0]: (37) {G1,W5,D3,L1,V2,M1} R(17,23) { convergent_lines(
% 106.39/106.77 orthogonal_through_point( X, Y ), X ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := orthogonal_through_point( X, Y )
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (46) {G2,W5,D3,L1,V2,M1} R(43,37) { convergent_lines( X,
% 106.39/106.77 orthogonal_through_point( X, Y ) ) }.
% 106.39/106.77 parent0: (10479) {G2,W5,D3,L1,V2,M1} { convergent_lines( X,
% 106.39/106.77 orthogonal_through_point( X, Y ) ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10480) {G2,W8,D3,L2,V3,M2} { convergent_lines( Y, X ),
% 106.39/106.77 convergent_lines( orthogonal_through_point( X, Z ), Y ) }.
% 106.39/106.77 parent0[0]: (43) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 106.39/106.77 convergent_lines( X, Y ) }.
% 106.39/106.77 parent1[0]: (40) {G2,W8,D3,L2,V3,M2} R(5,37) { convergent_lines( X, Z ),
% 106.39/106.77 convergent_lines( orthogonal_through_point( X, Y ), Z ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := X
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Z
% 106.39/106.77 Z := Y
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (97) {G3,W8,D3,L2,V3,M2} R(40,43) { convergent_lines( Z, X ),
% 106.39/106.77 convergent_lines( orthogonal_through_point( X, Y ), Z ) }.
% 106.39/106.77 parent0: (10480) {G2,W8,D3,L2,V3,M2} { convergent_lines( Y, X ),
% 106.39/106.77 convergent_lines( orthogonal_through_point( X, Z ), Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Z
% 106.39/106.77 Z := Y
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 1 ==> 1
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10482) {G1,W12,D2,L4,V4,M4} { distinct_lines( X, Y ),
% 106.39/106.77 apart_point_and_line( Z, Y ), distinct_lines( T, X ), !
% 106.39/106.77 apart_point_and_line( Z, T ) }.
% 106.39/106.77 parent0[2]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 106.39/106.77 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 106.39/106.77 parent1[1]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 106.39/106.77 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Z
% 106.39/106.77 Y := X
% 106.39/106.77 Z := Y
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := Z
% 106.39/106.77 Y := T
% 106.39/106.77 Z := X
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (185) {G1,W12,D2,L4,V4,M2} R(12,12) { distinct_lines( X, Y ),
% 106.39/106.77 distinct_lines( Y, T ), apart_point_and_line( Z, T ), !
% 106.39/106.77 apart_point_and_line( Z, X ) }.
% 106.39/106.77 parent0: (10482) {G1,W12,D2,L4,V4,M4} { distinct_lines( X, Y ),
% 106.39/106.77 apart_point_and_line( Z, Y ), distinct_lines( T, X ), !
% 106.39/106.77 apart_point_and_line( Z, T ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := T
% 106.39/106.77 Z := Z
% 106.39/106.77 T := X
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 1
% 106.39/106.77 1 ==> 2
% 106.39/106.77 2 ==> 0
% 106.39/106.77 3 ==> 3
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10484) {G1,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ),
% 106.39/106.77 distinct_lines( Z, X ), ! apart_point_and_line( intersection_point( X, Y
% 106.39/106.77 ), Z ) }.
% 106.39/106.77 parent0[1]: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 106.39/106.77 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 106.39/106.77 parent1[1]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 106.39/106.77 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := intersection_point( X, Y )
% 106.39/106.77 Y := Z
% 106.39/106.77 Z := X
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (194) {G1,W11,D3,L3,V3,M1} R(12,8) { distinct_lines( X, Y ), !
% 106.39/106.77 convergent_lines( Y, Z ), ! apart_point_and_line( intersection_point( Y
% 106.39/106.77 , Z ), X ) }.
% 106.39/106.77 parent0: (10484) {G1,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ),
% 106.39/106.77 distinct_lines( Z, X ), ! apart_point_and_line( intersection_point( X, Y
% 106.39/106.77 ), Z ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := Z
% 106.39/106.77 Z := X
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 1
% 106.39/106.77 1 ==> 0
% 106.39/106.77 2 ==> 2
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10485) {G1,W8,D3,L2,V3,M2} { distinct_lines( Z,
% 106.39/106.77 orthogonal_through_point( Y, X ) ), ! apart_point_and_line( X, Z ) }.
% 106.39/106.77 parent0[0]: (24) {G0,W5,D3,L1,V2,M1} I { ! apart_point_and_line( X,
% 106.39/106.77 orthogonal_through_point( Y, X ) ) }.
% 106.39/106.77 parent1[1]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 106.39/106.77 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Z
% 106.39/106.77 Z := orthogonal_through_point( Y, X )
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (198) {G1,W8,D3,L2,V3,M1} R(12,24) { distinct_lines( X,
% 106.39/106.77 orthogonal_through_point( Y, Z ) ), ! apart_point_and_line( Z, X ) }.
% 106.39/106.77 parent0: (10485) {G1,W8,D3,L2,V3,M2} { distinct_lines( Z,
% 106.39/106.77 orthogonal_through_point( Y, X ) ), ! apart_point_and_line( X, Z ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Z
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := X
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 1 ==> 1
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10486) {G1,W11,D3,L3,V4,M3} { distinct_lines( X,
% 106.39/106.77 orthogonal_through_point( Y, Z ) ), distinct_lines( T, X ), !
% 106.39/106.77 apart_point_and_line( Z, T ) }.
% 106.39/106.77 parent0[1]: (198) {G1,W8,D3,L2,V3,M1} R(12,24) { distinct_lines( X,
% 106.39/106.77 orthogonal_through_point( Y, Z ) ), ! apart_point_and_line( Z, X ) }.
% 106.39/106.77 parent1[1]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 106.39/106.77 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := Z
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := Z
% 106.39/106.77 Y := T
% 106.39/106.77 Z := X
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (200) {G2,W11,D3,L3,V4,M1} R(198,12) { distinct_lines( X,
% 106.39/106.77 orthogonal_through_point( Y, Z ) ), distinct_lines( T, X ), !
% 106.39/106.77 apart_point_and_line( Z, T ) }.
% 106.39/106.77 parent0: (10486) {G1,W11,D3,L3,V4,M3} { distinct_lines( X,
% 106.39/106.77 orthogonal_through_point( Y, Z ) ), distinct_lines( T, X ), !
% 106.39/106.77 apart_point_and_line( Z, T ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := Z
% 106.39/106.77 T := T
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 1 ==> 1
% 106.39/106.77 2 ==> 2
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10488) {G1,W10,D4,L2,V1,M2} { convergent_lines(
% 106.39/106.77 orthogonal_through_point( orthogonal_through_point( skol2, skol1 ), skol1
% 106.39/106.77 ), X ), convergent_lines( X, skol2 ) }.
% 106.39/106.77 parent0[1]: (44) {G2,W9,D2,L3,V3,M3} R(43,5) { convergent_lines( Z, X ), !
% 106.39/106.77 convergent_lines( Y, Z ), convergent_lines( X, Y ) }.
% 106.39/106.77 parent1[0]: (26) {G0,W7,D4,L1,V0,M1} I { convergent_lines( skol2,
% 106.39/106.77 orthogonal_through_point( orthogonal_through_point( skol2, skol1 ), skol1
% 106.39/106.77 ) ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := skol2
% 106.39/106.77 Z := orthogonal_through_point( orthogonal_through_point( skol2, skol1 )
% 106.39/106.77 , skol1 )
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (215) {G3,W10,D4,L2,V1,M2} R(44,26) { convergent_lines( X,
% 106.39/106.77 skol2 ), convergent_lines( orthogonal_through_point(
% 106.39/106.77 orthogonal_through_point( skol2, skol1 ), skol1 ), X ) }.
% 106.39/106.77 parent0: (10488) {G1,W10,D4,L2,V1,M2} { convergent_lines(
% 106.39/106.77 orthogonal_through_point( orthogonal_through_point( skol2, skol1 ), skol1
% 106.39/106.77 ), X ), convergent_lines( X, skol2 ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 1
% 106.39/106.77 1 ==> 0
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10491) {G2,W9,D2,L3,V3,M3} { convergent_lines( Y, X ), !
% 106.39/106.77 convergent_lines( Z, X ), convergent_lines( Y, Z ) }.
% 106.39/106.77 parent0[0]: (43) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 106.39/106.77 convergent_lines( X, Y ) }.
% 106.39/106.77 parent1[0]: (44) {G2,W9,D2,L3,V3,M3} R(43,5) { convergent_lines( Z, X ), !
% 106.39/106.77 convergent_lines( Y, Z ), convergent_lines( X, Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := X
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := Z
% 106.39/106.77 Z := X
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (216) {G3,W9,D2,L3,V3,M3} R(44,43) { convergent_lines( Z, X )
% 106.39/106.77 , convergent_lines( Z, Y ), ! convergent_lines( X, Y ) }.
% 106.39/106.77 parent0: (10491) {G2,W9,D2,L3,V3,M3} { convergent_lines( Y, X ), !
% 106.39/106.77 convergent_lines( Z, X ), convergent_lines( Y, Z ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := Z
% 106.39/106.77 Z := X
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 1
% 106.39/106.77 1 ==> 2
% 106.39/106.77 2 ==> 0
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10495) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ), !
% 106.39/106.77 convergent_lines( Z, X ), convergent_lines( Z, Y ) }.
% 106.39/106.77 parent0[0]: (34) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 106.39/106.77 distinct_lines( X, Y ) }.
% 106.39/106.77 parent1[2]: (13) {G0,W9,D2,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 106.39/106.77 convergent_lines( X, Z ), distinct_lines( Y, Z ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := X
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := Z
% 106.39/106.77 Y := X
% 106.39/106.77 Z := Y
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (225) {G2,W9,D2,L3,V3,M1} R(13,34) { ! convergent_lines( X, Y
% 106.39/106.77 ), convergent_lines( X, Z ), distinct_lines( Z, Y ) }.
% 106.39/106.77 parent0: (10495) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ), !
% 106.39/106.77 convergent_lines( Z, X ), convergent_lines( Z, Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := Z
% 106.39/106.77 Z := X
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 2
% 106.39/106.77 1 ==> 0
% 106.39/106.77 2 ==> 1
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10498) {G2,W9,D2,L3,V3,M3} { distinct_lines( Y, X ), !
% 106.39/106.77 distinct_lines( Z, X ), distinct_lines( Y, Z ) }.
% 106.39/106.77 parent0[0]: (34) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 106.39/106.77 distinct_lines( X, Y ) }.
% 106.39/106.77 parent1[0]: (35) {G2,W9,D2,L3,V3,M3} R(34,4) { distinct_lines( Z, X ), !
% 106.39/106.77 distinct_lines( Y, Z ), distinct_lines( X, Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := X
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := Z
% 106.39/106.77 Z := X
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (230) {G3,W9,D2,L3,V3,M3} R(35,34) { distinct_lines( Z, X ),
% 106.39/106.77 distinct_lines( Z, Y ), ! distinct_lines( X, Y ) }.
% 106.39/106.77 parent0: (10498) {G2,W9,D2,L3,V3,M3} { distinct_lines( Y, X ), !
% 106.39/106.77 distinct_lines( Z, X ), distinct_lines( Y, Z ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := Z
% 106.39/106.77 Z := X
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 1
% 106.39/106.77 1 ==> 2
% 106.39/106.77 2 ==> 0
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10503) {G1,W14,D3,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 106.39/106.77 distinct_lines( Y, Z ), convergent_lines( Y, Z ), apart_point_and_line(
% 106.39/106.77 intersection_point( X, Y ), Z ) }.
% 106.39/106.77 parent0[1]: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 106.39/106.77 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 106.39/106.77 parent1[2]: (16) {G0,W12,D2,L4,V3,M2} I { ! distinct_lines( X, Y ),
% 106.39/106.77 convergent_lines( X, Y ), apart_point_and_line( Z, X ),
% 106.39/106.77 apart_point_and_line( Z, Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := Z
% 106.39/106.77 Z := intersection_point( X, Y )
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (249) {G1,W14,D3,L4,V3,M1} R(16,9) { convergent_lines( X, Y )
% 106.39/106.77 , ! distinct_lines( X, Y ), ! convergent_lines( Z, X ),
% 106.39/106.77 apart_point_and_line( intersection_point( Z, X ), Y ) }.
% 106.39/106.77 parent0: (10503) {G1,W14,D3,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 106.39/106.77 distinct_lines( Y, Z ), convergent_lines( Y, Z ), apart_point_and_line(
% 106.39/106.77 intersection_point( X, Y ), Z ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Z
% 106.39/106.77 Y := X
% 106.39/106.77 Z := Y
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 2
% 106.39/106.77 1 ==> 1
% 106.39/106.77 2 ==> 0
% 106.39/106.77 3 ==> 3
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10507) {G1,W12,D2,L4,V3,M4} { unorthogonal_lines( X, Y ), !
% 106.39/106.77 convergent_lines( X, Z ), ! unorthogonal_lines( X, Z ), convergent_lines
% 106.39/106.77 ( Z, Y ) }.
% 106.39/106.77 parent0[1]: (21) {G0,W6,D2,L2,V2,M1} I { unorthogonal_lines( X, Y ), !
% 106.39/106.77 alpha1( X, Y ) }.
% 106.39/106.77 parent1[3]: (18) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 106.39/106.77 unorthogonal_lines( X, Y ), convergent_lines( Y, Z ), alpha1( X, Z ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Z
% 106.39/106.77 Z := Y
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (268) {G1,W12,D2,L4,V3,M2} R(18,21) { ! convergent_lines( X, Y
% 106.39/106.77 ), convergent_lines( Y, Z ), unorthogonal_lines( X, Z ), !
% 106.39/106.77 unorthogonal_lines( X, Y ) }.
% 106.39/106.77 parent0: (10507) {G1,W12,D2,L4,V3,M4} { unorthogonal_lines( X, Y ), !
% 106.39/106.77 convergent_lines( X, Z ), ! unorthogonal_lines( X, Z ), convergent_lines
% 106.39/106.77 ( Z, Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Z
% 106.39/106.77 Z := Y
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 2
% 106.39/106.77 1 ==> 0
% 106.39/106.77 2 ==> 3
% 106.39/106.77 3 ==> 1
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10509) {G1,W12,D2,L4,V3,M4} { convergent_lines( X, Y ), !
% 106.39/106.77 convergent_lines( X, Z ), ! unorthogonal_lines( X, Z ),
% 106.39/106.77 unorthogonal_lines( Z, Y ) }.
% 106.39/106.77 parent0[1]: (20) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), ! alpha1
% 106.39/106.77 ( X, Y ) }.
% 106.39/106.77 parent1[3]: (19) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 106.39/106.77 unorthogonal_lines( X, Y ), unorthogonal_lines( Y, Z ), alpha1( X, Z )
% 106.39/106.77 }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Z
% 106.39/106.77 Z := Y
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (290) {G1,W12,D2,L4,V3,M2} R(19,20) { ! convergent_lines( X, Y
% 106.39/106.77 ), convergent_lines( X, Z ), ! unorthogonal_lines( X, Y ),
% 106.39/106.77 unorthogonal_lines( Y, Z ) }.
% 106.39/106.77 parent0: (10509) {G1,W12,D2,L4,V3,M4} { convergent_lines( X, Y ), !
% 106.39/106.77 convergent_lines( X, Z ), ! unorthogonal_lines( X, Z ),
% 106.39/106.77 unorthogonal_lines( Z, Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Z
% 106.39/106.77 Z := Y
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 1
% 106.39/106.77 1 ==> 0
% 106.39/106.77 2 ==> 2
% 106.39/106.77 3 ==> 3
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10510) {G1,W16,D3,L4,V4,M4} { ! distinct_lines( Z,
% 106.39/106.77 orthogonal_through_point( X, Y ) ), apart_point_and_line( T, Z ),
% 106.39/106.77 apart_point_and_line( T, orthogonal_through_point( X, Y ) ),
% 106.39/106.77 unorthogonal_lines( Z, X ) }.
% 106.39/106.77 parent0[0]: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 106.39/106.77 orthogonal_through_point( Y, X ), Y ) }.
% 106.39/106.77 parent1[3]: (25) {G0,W15,D2,L5,V4,M2} I { ! distinct_lines( X, Y ),
% 106.39/106.77 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 106.39/106.77 unorthogonal_lines( Y, T ), unorthogonal_lines( X, T ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := X
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := Z
% 106.39/106.77 Y := orthogonal_through_point( X, Y )
% 106.39/106.77 Z := T
% 106.39/106.77 T := X
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (306) {G1,W16,D3,L4,V4,M1} R(25,23) { ! distinct_lines( X,
% 106.39/106.77 orthogonal_through_point( Y, Z ) ), apart_point_and_line( T, X ),
% 106.39/106.77 apart_point_and_line( T, orthogonal_through_point( Y, Z ) ),
% 106.39/106.77 unorthogonal_lines( X, Y ) }.
% 106.39/106.77 parent0: (10510) {G1,W16,D3,L4,V4,M4} { ! distinct_lines( Z,
% 106.39/106.77 orthogonal_through_point( X, Y ) ), apart_point_and_line( T, Z ),
% 106.39/106.77 apart_point_and_line( T, orthogonal_through_point( X, Y ) ),
% 106.39/106.77 unorthogonal_lines( Z, X ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := Z
% 106.39/106.77 Z := X
% 106.39/106.77 T := T
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 1 ==> 1
% 106.39/106.77 2 ==> 2
% 106.39/106.77 3 ==> 3
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10514) {G1,W16,D3,L4,V4,M4} { ! distinct_lines(
% 106.39/106.77 orthogonal_through_point( X, Y ), Z ), apart_point_and_line( T,
% 106.39/106.77 orthogonal_through_point( X, Y ) ), apart_point_and_line( T, Z ),
% 106.39/106.77 unorthogonal_lines( Z, X ) }.
% 106.39/106.77 parent0[0]: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 106.39/106.77 orthogonal_through_point( Y, X ), Y ) }.
% 106.39/106.77 parent1[4]: (25) {G0,W15,D2,L5,V4,M2} I { ! distinct_lines( X, Y ),
% 106.39/106.77 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 106.39/106.77 unorthogonal_lines( Y, T ), unorthogonal_lines( X, T ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := X
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := orthogonal_through_point( X, Y )
% 106.39/106.77 Y := Z
% 106.39/106.77 Z := T
% 106.39/106.77 T := X
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (307) {G1,W16,D3,L4,V4,M1} R(25,23) { ! distinct_lines(
% 106.39/106.77 orthogonal_through_point( X, Y ), Z ), apart_point_and_line( T,
% 106.39/106.77 orthogonal_through_point( X, Y ) ), apart_point_and_line( T, Z ),
% 106.39/106.77 unorthogonal_lines( Z, X ) }.
% 106.39/106.77 parent0: (10514) {G1,W16,D3,L4,V4,M4} { ! distinct_lines(
% 106.39/106.77 orthogonal_through_point( X, Y ), Z ), apart_point_and_line( T,
% 106.39/106.77 orthogonal_through_point( X, Y ) ), apart_point_and_line( T, Z ),
% 106.39/106.77 unorthogonal_lines( Z, X ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := Z
% 106.39/106.77 T := T
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 1 ==> 1
% 106.39/106.77 2 ==> 2
% 106.39/106.77 3 ==> 3
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10516) {G1,W14,D3,L4,V5,M4} { distinct_lines( X,
% 106.39/106.77 orthogonal_through_point( Y, Z ) ), distinct_lines( T, X ),
% 106.39/106.77 distinct_lines( U, T ), ! apart_point_and_line( Z, U ) }.
% 106.39/106.77 parent0[2]: (200) {G2,W11,D3,L3,V4,M1} R(198,12) { distinct_lines( X,
% 106.39/106.77 orthogonal_through_point( Y, Z ) ), distinct_lines( T, X ), !
% 106.39/106.77 apart_point_and_line( Z, T ) }.
% 106.39/106.77 parent1[1]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 106.39/106.77 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := Z
% 106.39/106.77 T := T
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := Z
% 106.39/106.77 Y := U
% 106.39/106.77 Z := T
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (1976) {G3,W14,D3,L4,V5,M1} R(200,12) { distinct_lines( X,
% 106.39/106.77 orthogonal_through_point( Y, Z ) ), distinct_lines( T, X ),
% 106.39/106.77 distinct_lines( U, T ), ! apart_point_and_line( Z, U ) }.
% 106.39/106.77 parent0: (10516) {G1,W14,D3,L4,V5,M4} { distinct_lines( X,
% 106.39/106.77 orthogonal_through_point( Y, Z ) ), distinct_lines( T, X ),
% 106.39/106.77 distinct_lines( U, T ), ! apart_point_and_line( Z, U ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := Z
% 106.39/106.77 T := T
% 106.39/106.77 U := U
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 1 ==> 1
% 106.39/106.77 2 ==> 2
% 106.39/106.77 3 ==> 3
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 factor: (10522) {G3,W13,D3,L3,V3,M3} { distinct_lines( X,
% 106.39/106.77 orthogonal_through_point( Y, Z ) ), distinct_lines(
% 106.39/106.77 orthogonal_through_point( Y, Z ), X ), ! apart_point_and_line( Z, X ) }.
% 106.39/106.77 parent0[0, 2]: (1976) {G3,W14,D3,L4,V5,M1} R(200,12) { distinct_lines( X,
% 106.39/106.77 orthogonal_through_point( Y, Z ) ), distinct_lines( T, X ),
% 106.39/106.77 distinct_lines( U, T ), ! apart_point_and_line( Z, U ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := Z
% 106.39/106.77 T := orthogonal_through_point( Y, Z )
% 106.39/106.77 U := X
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10528) {G2,W13,D3,L3,V3,M3} { distinct_lines(
% 106.39/106.77 orthogonal_through_point( Y, Z ), X ), distinct_lines(
% 106.39/106.77 orthogonal_through_point( Y, Z ), X ), ! apart_point_and_line( Z, X ) }.
% 106.39/106.77 parent0[0]: (34) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 106.39/106.77 distinct_lines( X, Y ) }.
% 106.39/106.77 parent1[0]: (10522) {G3,W13,D3,L3,V3,M3} { distinct_lines( X,
% 106.39/106.77 orthogonal_through_point( Y, Z ) ), distinct_lines(
% 106.39/106.77 orthogonal_through_point( Y, Z ), X ), ! apart_point_and_line( Z, X ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := orthogonal_through_point( Y, Z )
% 106.39/106.77 Y := X
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := Z
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 factor: (10530) {G2,W8,D3,L2,V3,M2} { distinct_lines(
% 106.39/106.77 orthogonal_through_point( X, Y ), Z ), ! apart_point_and_line( Y, Z ) }.
% 106.39/106.77 parent0[0, 1]: (10528) {G2,W13,D3,L3,V3,M3} { distinct_lines(
% 106.39/106.77 orthogonal_through_point( Y, Z ), X ), distinct_lines(
% 106.39/106.77 orthogonal_through_point( Y, Z ), X ), ! apart_point_and_line( Z, X ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Z
% 106.39/106.77 Y := X
% 106.39/106.77 Z := Y
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (1978) {G4,W8,D3,L2,V3,M1} F(1976);r(34) { distinct_lines(
% 106.39/106.77 orthogonal_through_point( Y, Z ), X ), ! apart_point_and_line( Z, X ) }.
% 106.39/106.77 parent0: (10530) {G2,W8,D3,L2,V3,M2} { distinct_lines(
% 106.39/106.77 orthogonal_through_point( X, Y ), Z ), ! apart_point_and_line( Y, Z ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := Z
% 106.39/106.77 Z := X
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 1 ==> 1
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10532) {G2,W17,D3,L5,V5,M5} { distinct_lines( X, Y ), !
% 106.39/106.77 convergent_lines( Y, Z ), distinct_lines( T, U ), distinct_lines( U, X )
% 106.39/106.77 , ! apart_point_and_line( intersection_point( Y, Z ), T ) }.
% 106.39/106.77 parent0[2]: (194) {G1,W11,D3,L3,V3,M1} R(12,8) { distinct_lines( X, Y ), !
% 106.39/106.77 convergent_lines( Y, Z ), ! apart_point_and_line( intersection_point( Y,
% 106.39/106.77 Z ), X ) }.
% 106.39/106.77 parent1[2]: (185) {G1,W12,D2,L4,V4,M2} R(12,12) { distinct_lines( X, Y ),
% 106.39/106.77 distinct_lines( Y, T ), apart_point_and_line( Z, T ), !
% 106.39/106.77 apart_point_and_line( Z, X ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := Z
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := T
% 106.39/106.77 Y := U
% 106.39/106.77 Z := intersection_point( Y, Z )
% 106.39/106.77 T := X
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (2715) {G2,W17,D3,L5,V5,M1} R(185,194) { distinct_lines( X, Y
% 106.39/106.77 ), distinct_lines( Y, Z ), distinct_lines( Z, T ), ! convergent_lines( T
% 106.39/106.77 , U ), ! apart_point_and_line( intersection_point( T, U ), X ) }.
% 106.39/106.77 parent0: (10532) {G2,W17,D3,L5,V5,M5} { distinct_lines( X, Y ), !
% 106.39/106.77 convergent_lines( Y, Z ), distinct_lines( T, U ), distinct_lines( U, X )
% 106.39/106.77 , ! apart_point_and_line( intersection_point( Y, Z ), T ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Z
% 106.39/106.77 Y := T
% 106.39/106.77 Z := U
% 106.39/106.77 T := X
% 106.39/106.77 U := Y
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 2
% 106.39/106.77 1 ==> 3
% 106.39/106.77 2 ==> 0
% 106.39/106.77 3 ==> 1
% 106.39/106.77 4 ==> 4
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 factor: (10538) {G2,W14,D3,L4,V3,M4} { distinct_lines( X, Y ),
% 106.39/106.77 distinct_lines( Y, X ), ! convergent_lines( Y, Z ), !
% 106.39/106.77 apart_point_and_line( intersection_point( Y, Z ), X ) }.
% 106.39/106.77 parent0[0, 2]: (2715) {G2,W17,D3,L5,V5,M1} R(185,194) { distinct_lines( X,
% 106.39/106.77 Y ), distinct_lines( Y, Z ), distinct_lines( Z, T ), ! convergent_lines(
% 106.39/106.77 T, U ), ! apart_point_and_line( intersection_point( T, U ), X ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := X
% 106.39/106.77 T := Y
% 106.39/106.77 U := Z
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10544) {G2,W14,D3,L4,V3,M4} { distinct_lines( Y, X ),
% 106.39/106.77 distinct_lines( Y, X ), ! convergent_lines( Y, Z ), !
% 106.39/106.77 apart_point_and_line( intersection_point( Y, Z ), X ) }.
% 106.39/106.77 parent0[0]: (34) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 106.39/106.77 distinct_lines( X, Y ) }.
% 106.39/106.77 parent1[0]: (10538) {G2,W14,D3,L4,V3,M4} { distinct_lines( X, Y ),
% 106.39/106.77 distinct_lines( Y, X ), ! convergent_lines( Y, Z ), !
% 106.39/106.77 apart_point_and_line( intersection_point( Y, Z ), X ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := X
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := Z
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 factor: (10546) {G2,W11,D3,L3,V3,M3} { distinct_lines( X, Y ), !
% 106.39/106.77 convergent_lines( X, Z ), ! apart_point_and_line( intersection_point( X,
% 106.39/106.77 Z ), Y ) }.
% 106.39/106.77 parent0[0, 1]: (10544) {G2,W14,D3,L4,V3,M4} { distinct_lines( Y, X ),
% 106.39/106.77 distinct_lines( Y, X ), ! convergent_lines( Y, Z ), !
% 106.39/106.77 apart_point_and_line( intersection_point( Y, Z ), X ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := X
% 106.39/106.77 Z := Z
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (2741) {G3,W11,D3,L3,V3,M1} F(2715);r(34) { ! convergent_lines
% 106.39/106.77 ( Y, Z ), distinct_lines( Y, X ), ! apart_point_and_line(
% 106.39/106.77 intersection_point( Y, Z ), X ) }.
% 106.39/106.77 parent0: (10546) {G2,W11,D3,L3,V3,M3} { distinct_lines( X, Y ), !
% 106.39/106.77 convergent_lines( X, Z ), ! apart_point_and_line( intersection_point( X,
% 106.39/106.77 Z ), Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := X
% 106.39/106.77 Z := Z
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 1
% 106.39/106.77 1 ==> 0
% 106.39/106.77 2 ==> 2
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10548) {G1,W13,D3,L3,V3,M3} { ! convergent_lines(
% 106.39/106.77 orthogonal_through_point( X, Y ), Z ), convergent_lines( Z, X ), !
% 106.39/106.77 unorthogonal_lines( orthogonal_through_point( X, Y ), Z ) }.
% 106.39/106.77 parent0[0]: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 106.39/106.77 orthogonal_through_point( Y, X ), Y ) }.
% 106.39/106.77 parent1[2]: (268) {G1,W12,D2,L4,V3,M2} R(18,21) { ! convergent_lines( X, Y
% 106.39/106.77 ), convergent_lines( Y, Z ), unorthogonal_lines( X, Z ), !
% 106.39/106.77 unorthogonal_lines( X, Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := X
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := orthogonal_through_point( X, Y )
% 106.39/106.77 Y := Z
% 106.39/106.77 Z := X
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10550) {G2,W11,D3,L3,V3,M3} { convergent_lines( Z, X ), !
% 106.39/106.77 unorthogonal_lines( orthogonal_through_point( X, Y ), Z ),
% 106.39/106.77 convergent_lines( Z, X ) }.
% 106.39/106.77 parent0[0]: (10548) {G1,W13,D3,L3,V3,M3} { ! convergent_lines(
% 106.39/106.77 orthogonal_through_point( X, Y ), Z ), convergent_lines( Z, X ), !
% 106.39/106.77 unorthogonal_lines( orthogonal_through_point( X, Y ), Z ) }.
% 106.39/106.77 parent1[1]: (97) {G3,W8,D3,L2,V3,M2} R(40,43) { convergent_lines( Z, X ),
% 106.39/106.77 convergent_lines( orthogonal_through_point( X, Y ), Z ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := Z
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := Z
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 factor: (10551) {G2,W8,D3,L2,V3,M2} { convergent_lines( X, Y ), !
% 106.39/106.77 unorthogonal_lines( orthogonal_through_point( Y, Z ), X ) }.
% 106.39/106.77 parent0[0, 2]: (10550) {G2,W11,D3,L3,V3,M3} { convergent_lines( Z, X ), !
% 106.39/106.77 unorthogonal_lines( orthogonal_through_point( X, Y ), Z ),
% 106.39/106.77 convergent_lines( Z, X ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := Z
% 106.39/106.77 Z := X
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (3213) {G4,W8,D3,L2,V3,M1} R(268,23);r(97) { convergent_lines
% 106.39/106.77 ( Z, X ), ! unorthogonal_lines( orthogonal_through_point( X, Y ), Z ) }.
% 106.39/106.77 parent0: (10551) {G2,W8,D3,L2,V3,M2} { convergent_lines( X, Y ), !
% 106.39/106.77 unorthogonal_lines( orthogonal_through_point( Y, Z ), X ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Z
% 106.39/106.77 Y := X
% 106.39/106.77 Z := Y
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 1 ==> 1
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10552) {G2,W16,D3,L4,V4,M4} { convergent_lines( X, Y ), !
% 106.39/106.77 convergent_lines( T, orthogonal_through_point( Y, Z ) ), convergent_lines
% 106.39/106.77 ( T, X ), ! unorthogonal_lines( T, orthogonal_through_point( Y, Z ) ) }.
% 106.39/106.77 parent0[1]: (3213) {G4,W8,D3,L2,V3,M1} R(268,23);r(97) { convergent_lines(
% 106.39/106.77 Z, X ), ! unorthogonal_lines( orthogonal_through_point( X, Y ), Z ) }.
% 106.39/106.77 parent1[3]: (290) {G1,W12,D2,L4,V3,M2} R(19,20) { ! convergent_lines( X, Y
% 106.39/106.77 ), convergent_lines( X, Z ), ! unorthogonal_lines( X, Y ),
% 106.39/106.77 unorthogonal_lines( Y, Z ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := Z
% 106.39/106.77 Z := X
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := T
% 106.39/106.77 Y := orthogonal_through_point( Y, Z )
% 106.39/106.77 Z := X
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (3217) {G5,W16,D3,L4,V4,M1} R(3213,290) { convergent_lines( X
% 106.39/106.77 , Y ), ! convergent_lines( Z, orthogonal_through_point( Y, T ) ),
% 106.39/106.77 convergent_lines( Z, X ), ! unorthogonal_lines( Z,
% 106.39/106.77 orthogonal_through_point( Y, T ) ) }.
% 106.39/106.77 parent0: (10552) {G2,W16,D3,L4,V4,M4} { convergent_lines( X, Y ), !
% 106.39/106.77 convergent_lines( T, orthogonal_through_point( Y, Z ) ), convergent_lines
% 106.39/106.77 ( T, X ), ! unorthogonal_lines( T, orthogonal_through_point( Y, Z ) ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := T
% 106.39/106.77 T := Z
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 1 ==> 1
% 106.39/106.77 2 ==> 2
% 106.39/106.77 3 ==> 3
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 factor: (10554) {G5,W13,D3,L3,V2,M3} { convergent_lines( X, X ), !
% 106.39/106.77 convergent_lines( X, orthogonal_through_point( X, Y ) ), !
% 106.39/106.77 unorthogonal_lines( X, orthogonal_through_point( X, Y ) ) }.
% 106.39/106.77 parent0[0, 2]: (3217) {G5,W16,D3,L4,V4,M1} R(3213,290) { convergent_lines(
% 106.39/106.77 X, Y ), ! convergent_lines( Z, orthogonal_through_point( Y, T ) ),
% 106.39/106.77 convergent_lines( Z, X ), ! unorthogonal_lines( Z,
% 106.39/106.77 orthogonal_through_point( Y, T ) ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := X
% 106.39/106.77 Z := X
% 106.39/106.77 T := Y
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10555) {G1,W10,D3,L2,V2,M2} { ! convergent_lines( X,
% 106.39/106.77 orthogonal_through_point( X, Y ) ), ! unorthogonal_lines( X,
% 106.39/106.77 orthogonal_through_point( X, Y ) ) }.
% 106.39/106.77 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 106.39/106.77 parent1[0]: (10554) {G5,W13,D3,L3,V2,M3} { convergent_lines( X, X ), !
% 106.39/106.77 convergent_lines( X, orthogonal_through_point( X, Y ) ), !
% 106.39/106.77 unorthogonal_lines( X, orthogonal_through_point( X, Y ) ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (3218) {G6,W10,D3,L2,V2,M1} F(3217);r(2) { ! convergent_lines
% 106.39/106.77 ( X, orthogonal_through_point( X, Y ) ), ! unorthogonal_lines( X,
% 106.39/106.77 orthogonal_through_point( X, Y ) ) }.
% 106.39/106.77 parent0: (10555) {G1,W10,D3,L2,V2,M2} { ! convergent_lines( X,
% 106.39/106.77 orthogonal_through_point( X, Y ) ), ! unorthogonal_lines( X,
% 106.39/106.77 orthogonal_through_point( X, Y ) ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 1 ==> 1
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10556) {G3,W5,D3,L1,V2,M1} { ! unorthogonal_lines( X,
% 106.39/106.77 orthogonal_through_point( X, Y ) ) }.
% 106.39/106.77 parent0[0]: (3218) {G6,W10,D3,L2,V2,M1} F(3217);r(2) { ! convergent_lines(
% 106.39/106.77 X, orthogonal_through_point( X, Y ) ), ! unorthogonal_lines( X,
% 106.39/106.77 orthogonal_through_point( X, Y ) ) }.
% 106.39/106.77 parent1[0]: (46) {G2,W5,D3,L1,V2,M1} R(43,37) { convergent_lines( X,
% 106.39/106.77 orthogonal_through_point( X, Y ) ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (3219) {G7,W5,D3,L1,V2,M1} S(3218);r(46) { !
% 106.39/106.77 unorthogonal_lines( X, orthogonal_through_point( X, Y ) ) }.
% 106.39/106.77 parent0: (10556) {G3,W5,D3,L1,V2,M1} { ! unorthogonal_lines( X,
% 106.39/106.77 orthogonal_through_point( X, Y ) ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10560) {G2,W15,D2,L5,V3,M5} { ! convergent_lines( X, Y ),
% 106.39/106.77 distinct_lines( X, Z ), convergent_lines( Y, Z ), ! distinct_lines( Y, Z
% 106.39/106.77 ), ! convergent_lines( X, Y ) }.
% 106.39/106.77 parent0[2]: (2741) {G3,W11,D3,L3,V3,M1} F(2715);r(34) { ! convergent_lines
% 106.39/106.77 ( Y, Z ), distinct_lines( Y, X ), ! apart_point_and_line(
% 106.39/106.77 intersection_point( Y, Z ), X ) }.
% 106.39/106.77 parent1[3]: (249) {G1,W14,D3,L4,V3,M1} R(16,9) { convergent_lines( X, Y ),
% 106.39/106.77 ! distinct_lines( X, Y ), ! convergent_lines( Z, X ),
% 106.39/106.77 apart_point_and_line( intersection_point( Z, X ), Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Z
% 106.39/106.77 Y := X
% 106.39/106.77 Z := Y
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := Y
% 106.39/106.77 Y := Z
% 106.39/106.77 Z := X
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 factor: (10561) {G2,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ),
% 106.39/106.77 distinct_lines( X, Z ), convergent_lines( Y, Z ), ! distinct_lines( Y, Z
% 106.39/106.77 ) }.
% 106.39/106.77 parent0[0, 4]: (10560) {G2,W15,D2,L5,V3,M5} { ! convergent_lines( X, Y ),
% 106.39/106.77 distinct_lines( X, Z ), convergent_lines( Y, Z ), ! distinct_lines( Y, Z
% 106.39/106.77 ), ! convergent_lines( X, Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := Z
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (4619) {G4,W12,D2,L4,V3,M2} R(249,2741);f { convergent_lines(
% 106.39/106.77 X, Y ), ! convergent_lines( Z, X ), distinct_lines( Z, Y ), !
% 106.39/106.77 distinct_lines( X, Y ) }.
% 106.39/106.77 parent0: (10561) {G2,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ),
% 106.39/106.77 distinct_lines( X, Z ), convergent_lines( Y, Z ), ! distinct_lines( Y, Z
% 106.39/106.77 ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := Z
% 106.39/106.77 Y := X
% 106.39/106.77 Z := Y
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 1
% 106.39/106.77 1 ==> 2
% 106.39/106.77 2 ==> 0
% 106.39/106.77 3 ==> 3
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10562) {G2,W12,D2,L4,V3,M4} { convergent_lines( X, Y ), !
% 106.39/106.77 convergent_lines( Z, X ), distinct_lines( Z, Y ), ! distinct_lines( Y, X
% 106.39/106.77 ) }.
% 106.39/106.77 parent0[3]: (4619) {G4,W12,D2,L4,V3,M2} R(249,2741);f { convergent_lines( X
% 106.39/106.77 , Y ), ! convergent_lines( Z, X ), distinct_lines( Z, Y ), !
% 106.39/106.77 distinct_lines( X, Y ) }.
% 106.39/106.77 parent1[1]: (34) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 106.39/106.77 distinct_lines( X, Y ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := Z
% 106.39/106.77 end
% 106.39/106.77 substitution1:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 subsumption: (4635) {G5,W12,D2,L4,V3,M2} R(4619,34) { convergent_lines( X,
% 106.39/106.77 Y ), ! convergent_lines( Z, X ), ! distinct_lines( Y, X ), distinct_lines
% 106.39/106.77 ( Z, Y ) }.
% 106.39/106.77 parent0: (10562) {G2,W12,D2,L4,V3,M4} { convergent_lines( X, Y ), !
% 106.39/106.77 convergent_lines( Z, X ), distinct_lines( Z, Y ), ! distinct_lines( Y, X
% 106.39/106.77 ) }.
% 106.39/106.77 substitution0:
% 106.39/106.77 X := X
% 106.39/106.77 Y := Y
% 106.39/106.77 Z := Z
% 106.39/106.77 end
% 106.39/106.77 permutation0:
% 106.39/106.77 0 ==> 0
% 106.39/106.77 1 ==> 1
% 106.39/106.77 2 ==> 3
% 106.39/106.77 3 ==> 2
% 106.39/106.77 end
% 106.39/106.77
% 106.39/106.77 resolution: (10564) {G2,W12,D2,L4,V3,M4} { distinct_lines( Y, X ),
% 106.39/106.77 convergent_lines( Z, Y ), ! convergent_lines( X, Z ), ! distinct_lines( Y
% 106.39/106.77 , Z ) }.
% 106.39/106.77 parent0[0]: (34) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 106.39/106.78 distinct_lines( X, Y ) }.
% 106.39/106.78 parent1[3]: (4635) {G5,W12,D2,L4,V3,M2} R(4619,34) { convergent_lines( X, Y
% 106.39/106.78 ), ! convergent_lines( Z, X ), ! distinct_lines( Y, X ), distinct_lines
% 106.39/106.78 ( Z, Y ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := Y
% 106.39/106.78 Y := X
% 106.39/106.78 end
% 106.39/106.78 substitution1:
% 106.39/106.78 X := Z
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := X
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (4644) {G6,W12,D2,L4,V3,M2} R(4635,34) { convergent_lines( X,
% 106.39/106.78 Y ), ! convergent_lines( Z, X ), distinct_lines( Y, Z ), ! distinct_lines
% 106.39/106.78 ( Y, X ) }.
% 106.39/106.78 parent0: (10564) {G2,W12,D2,L4,V3,M4} { distinct_lines( Y, X ),
% 106.39/106.78 convergent_lines( Z, Y ), ! convergent_lines( X, Z ), ! distinct_lines( Y
% 106.39/106.78 , Z ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := Z
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := X
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 0 ==> 2
% 106.39/106.78 1 ==> 0
% 106.39/106.78 2 ==> 1
% 106.39/106.78 3 ==> 3
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 resolution: (10565) {G4,W15,D2,L5,V4,M5} { convergent_lines( X, Y ), !
% 106.39/106.78 convergent_lines( Z, X ), distinct_lines( Y, Z ), distinct_lines( Y, T )
% 106.39/106.78 , ! distinct_lines( X, T ) }.
% 106.39/106.78 parent0[3]: (4644) {G6,W12,D2,L4,V3,M2} R(4635,34) { convergent_lines( X, Y
% 106.39/106.78 ), ! convergent_lines( Z, X ), distinct_lines( Y, Z ), ! distinct_lines
% 106.39/106.78 ( Y, X ) }.
% 106.39/106.78 parent1[0]: (230) {G3,W9,D2,L3,V3,M3} R(35,34) { distinct_lines( Z, X ),
% 106.39/106.78 distinct_lines( Z, Y ), ! distinct_lines( X, Y ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := Z
% 106.39/106.78 end
% 106.39/106.78 substitution1:
% 106.39/106.78 X := X
% 106.39/106.78 Y := T
% 106.39/106.78 Z := Y
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (4648) {G7,W15,D2,L5,V4,M3} R(4644,230) { convergent_lines( X
% 106.39/106.78 , Y ), ! convergent_lines( Z, X ), distinct_lines( Y, T ), !
% 106.39/106.78 distinct_lines( X, T ), distinct_lines( Y, Z ) }.
% 106.39/106.78 parent0: (10565) {G4,W15,D2,L5,V4,M5} { convergent_lines( X, Y ), !
% 106.39/106.78 convergent_lines( Z, X ), distinct_lines( Y, Z ), distinct_lines( Y, T )
% 106.39/106.78 , ! distinct_lines( X, T ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := Z
% 106.39/106.78 T := T
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 0 ==> 0
% 106.39/106.78 1 ==> 1
% 106.39/106.78 2 ==> 4
% 106.39/106.78 3 ==> 2
% 106.39/106.78 4 ==> 3
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 factor: (10569) {G7,W12,D2,L4,V3,M4} { convergent_lines( X, Y ), !
% 106.39/106.78 convergent_lines( Z, X ), distinct_lines( Y, Z ), ! distinct_lines( X, Z
% 106.39/106.78 ) }.
% 106.39/106.78 parent0[2, 4]: (4648) {G7,W15,D2,L5,V4,M3} R(4644,230) { convergent_lines(
% 106.39/106.78 X, Y ), ! convergent_lines( Z, X ), distinct_lines( Y, T ), !
% 106.39/106.78 distinct_lines( X, T ), distinct_lines( Y, Z ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := Z
% 106.39/106.78 T := Z
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (4655) {G8,W12,D2,L4,V3,M2} F(4648) { convergent_lines( X, Y )
% 106.39/106.78 , ! convergent_lines( Z, X ), ! distinct_lines( X, Z ), distinct_lines( Y
% 106.39/106.78 , Z ) }.
% 106.39/106.78 parent0: (10569) {G7,W12,D2,L4,V3,M4} { convergent_lines( X, Y ), !
% 106.39/106.78 convergent_lines( Z, X ), distinct_lines( Y, Z ), ! distinct_lines( X, Z
% 106.39/106.78 ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := Z
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 0 ==> 0
% 106.39/106.78 1 ==> 1
% 106.39/106.78 2 ==> 3
% 106.39/106.78 3 ==> 2
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 resolution: (10571) {G3,W15,D2,L5,V4,M5} { convergent_lines( X, Y ), !
% 106.39/106.78 convergent_lines( Z, X ), distinct_lines( Y, Z ), ! convergent_lines( T,
% 106.39/106.78 Z ), convergent_lines( T, X ) }.
% 106.39/106.78 parent0[2]: (4655) {G8,W12,D2,L4,V3,M2} F(4648) { convergent_lines( X, Y )
% 106.39/106.78 , ! convergent_lines( Z, X ), ! distinct_lines( X, Z ), distinct_lines( Y
% 106.39/106.78 , Z ) }.
% 106.39/106.78 parent1[2]: (225) {G2,W9,D2,L3,V3,M1} R(13,34) { ! convergent_lines( X, Y )
% 106.39/106.78 , convergent_lines( X, Z ), distinct_lines( Z, Y ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := Z
% 106.39/106.78 end
% 106.39/106.78 substitution1:
% 106.39/106.78 X := T
% 106.39/106.78 Y := Z
% 106.39/106.78 Z := X
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (4665) {G9,W15,D2,L5,V4,M1} R(4655,225) { convergent_lines( X
% 106.39/106.78 , Y ), ! convergent_lines( Z, X ), ! convergent_lines( T, Z ),
% 106.39/106.78 convergent_lines( T, X ), distinct_lines( Y, Z ) }.
% 106.39/106.78 parent0: (10571) {G3,W15,D2,L5,V4,M5} { convergent_lines( X, Y ), !
% 106.39/106.78 convergent_lines( Z, X ), distinct_lines( Y, Z ), ! convergent_lines( T,
% 106.39/106.78 Z ), convergent_lines( T, X ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := Z
% 106.39/106.78 T := T
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 0 ==> 0
% 106.39/106.78 1 ==> 1
% 106.39/106.78 2 ==> 4
% 106.39/106.78 3 ==> 2
% 106.39/106.78 4 ==> 3
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 factor: (10576) {G9,W12,D2,L4,V2,M4} { convergent_lines( X, X ), !
% 106.39/106.78 convergent_lines( Y, X ), ! convergent_lines( X, Y ), distinct_lines( X,
% 106.39/106.78 Y ) }.
% 106.39/106.78 parent0[0, 3]: (4665) {G9,W15,D2,L5,V4,M1} R(4655,225) { convergent_lines(
% 106.39/106.78 X, Y ), ! convergent_lines( Z, X ), ! convergent_lines( T, Z ),
% 106.39/106.78 convergent_lines( T, X ), distinct_lines( Y, Z ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := X
% 106.39/106.78 Z := Y
% 106.39/106.78 T := X
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 resolution: (10579) {G1,W9,D2,L3,V2,M3} { ! convergent_lines( Y, X ), !
% 106.39/106.78 convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 106.39/106.78 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 106.39/106.78 parent1[0]: (10576) {G9,W12,D2,L4,V2,M4} { convergent_lines( X, X ), !
% 106.39/106.78 convergent_lines( Y, X ), ! convergent_lines( X, Y ), distinct_lines( X,
% 106.39/106.78 Y ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 end
% 106.39/106.78 substitution1:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (4671) {G10,W9,D2,L3,V2,M1} F(4665);r(2) { ! convergent_lines
% 106.39/106.78 ( Y, X ), ! convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 106.39/106.78 parent0: (10579) {G1,W9,D2,L3,V2,M3} { ! convergent_lines( Y, X ), !
% 106.39/106.78 convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 0 ==> 0
% 106.39/106.78 1 ==> 1
% 106.39/106.78 2 ==> 2
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 resolution: (10583) {G2,W9,D2,L3,V2,M3} { ! convergent_lines( Y, X ),
% 106.39/106.78 distinct_lines( Y, X ), ! convergent_lines( Y, X ) }.
% 106.39/106.78 parent0[0]: (4671) {G10,W9,D2,L3,V2,M1} F(4665);r(2) { ! convergent_lines(
% 106.39/106.78 Y, X ), ! convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 106.39/106.78 parent1[1]: (43) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 106.39/106.78 convergent_lines( X, Y ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := Y
% 106.39/106.78 Y := X
% 106.39/106.78 end
% 106.39/106.78 substitution1:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 factor: (10585) {G2,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 106.39/106.78 distinct_lines( X, Y ) }.
% 106.39/106.78 parent0[0, 2]: (10583) {G2,W9,D2,L3,V2,M3} { ! convergent_lines( Y, X ),
% 106.39/106.78 distinct_lines( Y, X ), ! convergent_lines( Y, X ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := Y
% 106.39/106.78 Y := X
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (4692) {G11,W6,D2,L2,V2,M1} S(4671);r(43) { ! convergent_lines
% 106.39/106.78 ( X, Y ), distinct_lines( X, Y ) }.
% 106.39/106.78 parent0: (10585) {G2,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 106.39/106.78 distinct_lines( X, Y ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 0 ==> 0
% 106.39/106.78 1 ==> 1
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 resolution: (10587) {G1,W17,D3,L3,V4,M3} { ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 106.39/106.78 apart_point_and_line( T, orthogonal_through_point( X, Y ) ),
% 106.39/106.78 apart_point_and_line( T, orthogonal_through_point( X, Z ) ) }.
% 106.39/106.78 parent0[0]: (23) {G0,W5,D3,L1,V2,M1} I { ! unorthogonal_lines(
% 106.39/106.78 orthogonal_through_point( Y, X ), Y ) }.
% 106.39/106.78 parent1[3]: (306) {G1,W16,D3,L4,V4,M1} R(25,23) { ! distinct_lines( X,
% 106.39/106.78 orthogonal_through_point( Y, Z ) ), apart_point_and_line( T, X ),
% 106.39/106.78 apart_point_and_line( T, orthogonal_through_point( Y, Z ) ),
% 106.39/106.78 unorthogonal_lines( X, Y ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := Y
% 106.39/106.78 Y := X
% 106.39/106.78 end
% 106.39/106.78 substitution1:
% 106.39/106.78 X := orthogonal_through_point( X, Y )
% 106.39/106.78 Y := X
% 106.39/106.78 Z := Z
% 106.39/106.78 T := T
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (4839) {G2,W17,D3,L3,V4,M2} R(306,23) { ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 106.39/106.78 apart_point_and_line( T, orthogonal_through_point( X, Z ) ),
% 106.39/106.78 apart_point_and_line( T, orthogonal_through_point( X, Y ) ) }.
% 106.39/106.78 parent0: (10587) {G1,W17,D3,L3,V4,M3} { ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 106.39/106.78 apart_point_and_line( T, orthogonal_through_point( X, Y ) ),
% 106.39/106.78 apart_point_and_line( T, orthogonal_through_point( X, Z ) ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := Z
% 106.39/106.78 T := T
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 0 ==> 0
% 106.39/106.78 1 ==> 2
% 106.39/106.78 2 ==> 1
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 resolution: (10589) {G2,W17,D4,L3,V4,M3} { ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( X, Y ), Z ), X ),
% 106.39/106.78 apart_point_and_line( T, orthogonal_through_point(
% 106.39/106.78 orthogonal_through_point( X, Y ), Z ) ), apart_point_and_line( T, X ) }.
% 106.39/106.78 parent0[0]: (3219) {G7,W5,D3,L1,V2,M1} S(3218);r(46) { ! unorthogonal_lines
% 106.39/106.78 ( X, orthogonal_through_point( X, Y ) ) }.
% 106.39/106.78 parent1[3]: (307) {G1,W16,D3,L4,V4,M1} R(25,23) { ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), Z ), apart_point_and_line( T,
% 106.39/106.78 orthogonal_through_point( X, Y ) ), apart_point_and_line( T, Z ),
% 106.39/106.78 unorthogonal_lines( Z, X ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 end
% 106.39/106.78 substitution1:
% 106.39/106.78 X := orthogonal_through_point( X, Y )
% 106.39/106.78 Y := Z
% 106.39/106.78 Z := X
% 106.39/106.78 T := T
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (4886) {G8,W17,D4,L3,V4,M2} R(307,3219) { ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( X, Y ), Z ), X ),
% 106.39/106.78 apart_point_and_line( T, X ), apart_point_and_line( T,
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( X, Y ), Z ) ) }.
% 106.39/106.78 parent0: (10589) {G2,W17,D4,L3,V4,M3} { ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( X, Y ), Z ), X ),
% 106.39/106.78 apart_point_and_line( T, orthogonal_through_point(
% 106.39/106.78 orthogonal_through_point( X, Y ), Z ) ), apart_point_and_line( T, X ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := Z
% 106.39/106.78 T := T
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 0 ==> 0
% 106.39/106.78 1 ==> 2
% 106.39/106.78 2 ==> 1
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 resolution: (10591) {G1,W12,D3,L2,V3,M2} { ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( Y, X ), orthogonal_through_point( Y, Z ) ),
% 106.39/106.78 apart_point_and_line( X, orthogonal_through_point( Y, Z ) ) }.
% 106.39/106.78 parent0[0]: (24) {G0,W5,D3,L1,V2,M1} I { ! apart_point_and_line( X,
% 106.39/106.78 orthogonal_through_point( Y, X ) ) }.
% 106.39/106.78 parent1[2]: (4839) {G2,W17,D3,L3,V4,M2} R(306,23) { ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 106.39/106.78 apart_point_and_line( T, orthogonal_through_point( X, Z ) ),
% 106.39/106.78 apart_point_and_line( T, orthogonal_through_point( X, Y ) ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 end
% 106.39/106.78 substitution1:
% 106.39/106.78 X := Y
% 106.39/106.78 Y := X
% 106.39/106.78 Z := Z
% 106.39/106.78 T := X
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (6002) {G3,W12,D3,L2,V3,M1} R(4839,24) { ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 106.39/106.78 apart_point_and_line( Y, orthogonal_through_point( X, Z ) ) }.
% 106.39/106.78 parent0: (10591) {G1,W12,D3,L2,V3,M2} { ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( Y, X ), orthogonal_through_point( Y, Z ) ),
% 106.39/106.78 apart_point_and_line( X, orthogonal_through_point( Y, Z ) ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := Y
% 106.39/106.78 Y := X
% 106.39/106.78 Z := Z
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 0 ==> 0
% 106.39/106.78 1 ==> 1
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 resolution: (10593) {G4,W14,D3,L2,V4,M2} { distinct_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), orthogonal_through_point( Z, T ) ), !
% 106.39/106.78 distinct_lines( orthogonal_through_point( Z, Y ),
% 106.39/106.78 orthogonal_through_point( Z, T ) ) }.
% 106.39/106.78 parent0[1]: (1978) {G4,W8,D3,L2,V3,M1} F(1976);r(34) { distinct_lines(
% 106.39/106.78 orthogonal_through_point( Y, Z ), X ), ! apart_point_and_line( Z, X ) }.
% 106.39/106.78 parent1[1]: (6002) {G3,W12,D3,L2,V3,M1} R(4839,24) { ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 106.39/106.78 apart_point_and_line( Y, orthogonal_through_point( X, Z ) ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := orthogonal_through_point( Z, T )
% 106.39/106.78 Y := X
% 106.39/106.78 Z := Y
% 106.39/106.78 end
% 106.39/106.78 substitution1:
% 106.39/106.78 X := Z
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := T
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (6208) {G5,W14,D3,L2,V4,M2} R(6002,1978) { distinct_lines(
% 106.39/106.78 orthogonal_through_point( T, Y ), orthogonal_through_point( X, Z ) ), !
% 106.39/106.78 distinct_lines( orthogonal_through_point( X, Y ),
% 106.39/106.78 orthogonal_through_point( X, Z ) ) }.
% 106.39/106.78 parent0: (10593) {G4,W14,D3,L2,V4,M2} { distinct_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), orthogonal_through_point( Z, T ) ), !
% 106.39/106.78 distinct_lines( orthogonal_through_point( Z, Y ),
% 106.39/106.78 orthogonal_through_point( Z, T ) ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := T
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := X
% 106.39/106.78 T := Z
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 0 ==> 0
% 106.39/106.78 1 ==> 1
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 resolution: (10594) {G1,W16,D5,L2,V3,M2} { ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), Z ), ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( X, intersection_point( orthogonal_through_point
% 106.39/106.78 ( X, Y ), Z ) ), orthogonal_through_point( X, Y ) ) }.
% 106.39/106.78 parent0[1]: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 106.39/106.78 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 106.39/106.78 parent1[1]: (6002) {G3,W12,D3,L2,V3,M1} R(4839,24) { ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 106.39/106.78 apart_point_and_line( Y, orthogonal_through_point( X, Z ) ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := orthogonal_through_point( X, Y )
% 106.39/106.78 Y := Z
% 106.39/106.78 end
% 106.39/106.78 substitution1:
% 106.39/106.78 X := X
% 106.39/106.78 Y := intersection_point( orthogonal_through_point( X, Y ), Z )
% 106.39/106.78 Z := Y
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (6214) {G4,W16,D5,L2,V3,M1} R(6002,8) { ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), Z ), ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( X, intersection_point( orthogonal_through_point
% 106.39/106.78 ( X, Y ), Z ) ), orthogonal_through_point( X, Y ) ) }.
% 106.39/106.78 parent0: (10594) {G1,W16,D5,L2,V3,M2} { ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), Z ), ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( X, intersection_point( orthogonal_through_point
% 106.39/106.78 ( X, Y ), Z ) ), orthogonal_through_point( X, Y ) ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := Z
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 0 ==> 0
% 106.39/106.78 1 ==> 1
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 resolution: (10595) {G6,W14,D3,L2,V4,M2} { distinct_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), orthogonal_through_point( Z, T ) ), !
% 106.39/106.78 convergent_lines( orthogonal_through_point( Z, Y ),
% 106.39/106.78 orthogonal_through_point( Z, T ) ) }.
% 106.39/106.78 parent0[1]: (6208) {G5,W14,D3,L2,V4,M2} R(6002,1978) { distinct_lines(
% 106.39/106.78 orthogonal_through_point( T, Y ), orthogonal_through_point( X, Z ) ), !
% 106.39/106.78 distinct_lines( orthogonal_through_point( X, Y ),
% 106.39/106.78 orthogonal_through_point( X, Z ) ) }.
% 106.39/106.78 parent1[1]: (4692) {G11,W6,D2,L2,V2,M1} S(4671);r(43) { ! convergent_lines
% 106.39/106.78 ( X, Y ), distinct_lines( X, Y ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := Z
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := T
% 106.39/106.78 T := X
% 106.39/106.78 end
% 106.39/106.78 substitution1:
% 106.39/106.78 X := orthogonal_through_point( Z, Y )
% 106.39/106.78 Y := orthogonal_through_point( Z, T )
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (6302) {G12,W14,D3,L2,V4,M1} R(6208,4692) { ! convergent_lines
% 106.39/106.78 ( orthogonal_through_point( Z, Y ), orthogonal_through_point( Z, T ) ),
% 106.39/106.78 distinct_lines( orthogonal_through_point( X, Y ),
% 106.39/106.78 orthogonal_through_point( Z, T ) ) }.
% 106.39/106.78 parent0: (10595) {G6,W14,D3,L2,V4,M2} { distinct_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), orthogonal_through_point( Z, T ) ), !
% 106.39/106.78 convergent_lines( orthogonal_through_point( Z, Y ),
% 106.39/106.78 orthogonal_through_point( Z, T ) ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := Z
% 106.39/106.78 T := T
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 0 ==> 1
% 106.39/106.78 1 ==> 0
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 resolution: (10596) {G2,W14,D3,L2,V4,M2} { distinct_lines(
% 106.39/106.78 orthogonal_through_point( Z, T ), orthogonal_through_point( X, Y ) ), !
% 106.39/106.78 convergent_lines( orthogonal_through_point( Z, Y ),
% 106.39/106.78 orthogonal_through_point( Z, T ) ) }.
% 106.39/106.78 parent0[0]: (34) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 106.39/106.78 distinct_lines( X, Y ) }.
% 106.39/106.78 parent1[1]: (6302) {G12,W14,D3,L2,V4,M1} R(6208,4692) { ! convergent_lines
% 106.39/106.78 ( orthogonal_through_point( Z, Y ), orthogonal_through_point( Z, T ) ),
% 106.39/106.78 distinct_lines( orthogonal_through_point( X, Y ),
% 106.39/106.78 orthogonal_through_point( Z, T ) ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := orthogonal_through_point( Z, T )
% 106.39/106.78 Y := orthogonal_through_point( X, Y )
% 106.39/106.78 end
% 106.39/106.78 substitution1:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := Z
% 106.39/106.78 T := T
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (6357) {G13,W14,D3,L2,V4,M1} R(6302,34) { ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 106.39/106.78 distinct_lines( orthogonal_through_point( X, Z ),
% 106.39/106.78 orthogonal_through_point( T, Y ) ) }.
% 106.39/106.78 parent0: (10596) {G2,W14,D3,L2,V4,M2} { distinct_lines(
% 106.39/106.78 orthogonal_through_point( Z, T ), orthogonal_through_point( X, Y ) ), !
% 106.39/106.78 convergent_lines( orthogonal_through_point( Z, Y ),
% 106.39/106.78 orthogonal_through_point( Z, T ) ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := T
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := X
% 106.39/106.78 T := Z
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 0 ==> 1
% 106.39/106.78 1 ==> 0
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 resolution: (10597) {G5,W16,D5,L2,V3,M2} { ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), Z ), ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), orthogonal_through_point( X,
% 106.39/106.78 intersection_point( orthogonal_through_point( X, Y ), Z ) ) ) }.
% 106.39/106.78 parent0[1]: (6214) {G4,W16,D5,L2,V3,M1} R(6002,8) { ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), Z ), ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( X, intersection_point( orthogonal_through_point
% 106.39/106.78 ( X, Y ), Z ) ), orthogonal_through_point( X, Y ) ) }.
% 106.39/106.78 parent1[1]: (6357) {G13,W14,D3,L2,V4,M1} R(6302,34) { ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), orthogonal_through_point( X, Z ) ),
% 106.39/106.78 distinct_lines( orthogonal_through_point( X, Z ),
% 106.39/106.78 orthogonal_through_point( T, Y ) ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := Z
% 106.39/106.78 end
% 106.39/106.78 substitution1:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := intersection_point( orthogonal_through_point( X, Y ), Z )
% 106.39/106.78 T := X
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (6916) {G14,W16,D5,L2,V3,M2} R(6214,6357) { ! convergent_lines
% 106.39/106.78 ( orthogonal_through_point( X, Y ), orthogonal_through_point( X,
% 106.39/106.78 intersection_point( orthogonal_through_point( X, Y ), Z ) ) ), !
% 106.39/106.78 convergent_lines( orthogonal_through_point( X, Y ), Z ) }.
% 106.39/106.78 parent0: (10597) {G5,W16,D5,L2,V3,M2} { ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), Z ), ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), orthogonal_through_point( X,
% 106.39/106.78 intersection_point( orthogonal_through_point( X, Y ), Z ) ) ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := Z
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 0 ==> 1
% 106.39/106.78 1 ==> 0
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 resolution: (10598) {G5,W16,D5,L2,V3,M2} { ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), Z ), ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( X, intersection_point( orthogonal_through_point
% 106.39/106.78 ( X, Y ), Z ) ), orthogonal_through_point( X, Y ) ) }.
% 106.39/106.78 parent0[1]: (6214) {G4,W16,D5,L2,V3,M1} R(6002,8) { ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), Z ), ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( X, intersection_point( orthogonal_through_point
% 106.39/106.78 ( X, Y ), Z ) ), orthogonal_through_point( X, Y ) ) }.
% 106.39/106.78 parent1[1]: (6302) {G12,W14,D3,L2,V4,M1} R(6208,4692) { ! convergent_lines
% 106.39/106.78 ( orthogonal_through_point( Z, Y ), orthogonal_through_point( Z, T ) ),
% 106.39/106.78 distinct_lines( orthogonal_through_point( X, Y ),
% 106.39/106.78 orthogonal_through_point( Z, T ) ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := Z
% 106.39/106.78 end
% 106.39/106.78 substitution1:
% 106.39/106.78 X := X
% 106.39/106.78 Y := intersection_point( orthogonal_through_point( X, Y ), Z )
% 106.39/106.78 Z := X
% 106.39/106.78 T := Y
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (6917) {G13,W16,D5,L2,V3,M2} R(6214,6302) { ! convergent_lines
% 106.39/106.78 ( orthogonal_through_point( X, intersection_point(
% 106.39/106.78 orthogonal_through_point( X, Y ), Z ) ), orthogonal_through_point( X, Y )
% 106.39/106.78 ), ! convergent_lines( orthogonal_through_point( X, Y ), Z ) }.
% 106.39/106.78 parent0: (10598) {G5,W16,D5,L2,V3,M2} { ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), Z ), ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( X, intersection_point( orthogonal_through_point
% 106.39/106.78 ( X, Y ), Z ) ), orthogonal_through_point( X, Y ) ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := Z
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 0 ==> 1
% 106.39/106.78 1 ==> 0
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 resolution: (10599) {G2,W11,D5,L1,V2,M1} { ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), orthogonal_through_point( X,
% 106.39/106.78 intersection_point( orthogonal_through_point( X, Y ), X ) ) ) }.
% 106.39/106.78 parent0[1]: (6916) {G14,W16,D5,L2,V3,M2} R(6214,6357) { ! convergent_lines
% 106.39/106.78 ( orthogonal_through_point( X, Y ), orthogonal_through_point( X,
% 106.39/106.78 intersection_point( orthogonal_through_point( X, Y ), Z ) ) ), !
% 106.39/106.78 convergent_lines( orthogonal_through_point( X, Y ), Z ) }.
% 106.39/106.78 parent1[0]: (37) {G1,W5,D3,L1,V2,M1} R(17,23) { convergent_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), X ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := X
% 106.39/106.78 end
% 106.39/106.78 substitution1:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (6938) {G15,W11,D5,L1,V2,M1} R(6916,37) { ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), orthogonal_through_point( X,
% 106.39/106.78 intersection_point( orthogonal_through_point( X, Y ), X ) ) ) }.
% 106.39/106.78 parent0: (10599) {G2,W11,D5,L1,V2,M1} { ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), orthogonal_through_point( X,
% 106.39/106.78 intersection_point( orthogonal_through_point( X, Y ), X ) ) ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 0 ==> 0
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 resolution: (10600) {G4,W15,D6,L1,V0,M1} { convergent_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( skol2, skol1 ),
% 106.39/106.78 intersection_point( orthogonal_through_point( orthogonal_through_point(
% 106.39/106.78 skol2, skol1 ), skol1 ), orthogonal_through_point( skol2, skol1 ) ) ),
% 106.39/106.78 skol2 ) }.
% 106.39/106.78 parent0[0]: (6938) {G15,W11,D5,L1,V2,M1} R(6916,37) { ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), orthogonal_through_point( X,
% 106.39/106.78 intersection_point( orthogonal_through_point( X, Y ), X ) ) ) }.
% 106.39/106.78 parent1[1]: (215) {G3,W10,D4,L2,V1,M2} R(44,26) { convergent_lines( X,
% 106.39/106.78 skol2 ), convergent_lines( orthogonal_through_point(
% 106.39/106.78 orthogonal_through_point( skol2, skol1 ), skol1 ), X ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := orthogonal_through_point( skol2, skol1 )
% 106.39/106.78 Y := skol1
% 106.39/106.78 end
% 106.39/106.78 substitution1:
% 106.39/106.78 X := orthogonal_through_point( orthogonal_through_point( skol2, skol1 )
% 106.39/106.78 , intersection_point( orthogonal_through_point( orthogonal_through_point
% 106.39/106.78 ( skol2, skol1 ), skol1 ), orthogonal_through_point( skol2, skol1 ) ) )
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (7062) {G16,W15,D6,L1,V0,M1} R(6938,215) { convergent_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( skol2, skol1 ),
% 106.39/106.78 intersection_point( orthogonal_through_point( orthogonal_through_point(
% 106.39/106.78 skol2, skol1 ), skol1 ), orthogonal_through_point( skol2, skol1 ) ) ),
% 106.39/106.78 skol2 ) }.
% 106.39/106.78 parent0: (10600) {G4,W15,D6,L1,V0,M1} { convergent_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( skol2, skol1 ),
% 106.39/106.78 intersection_point( orthogonal_through_point( orthogonal_through_point(
% 106.39/106.78 skol2, skol1 ), skol1 ), orthogonal_through_point( skol2, skol1 ) ) ),
% 106.39/106.78 skol2 ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 0 ==> 0
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 resolution: (10602) {G1,W10,D4,L2,V3,M2} { ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( Y, Z ), X ), Y ),
% 106.39/106.78 apart_point_and_line( X, Y ) }.
% 106.39/106.78 parent0[0]: (24) {G0,W5,D3,L1,V2,M1} I { ! apart_point_and_line( X,
% 106.39/106.78 orthogonal_through_point( Y, X ) ) }.
% 106.39/106.78 parent1[2]: (4886) {G8,W17,D4,L3,V4,M2} R(307,3219) { ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( X, Y ), Z ), X ),
% 106.39/106.78 apart_point_and_line( T, X ), apart_point_and_line( T,
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( X, Y ), Z ) ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := orthogonal_through_point( Y, Z )
% 106.39/106.78 end
% 106.39/106.78 substitution1:
% 106.39/106.78 X := Y
% 106.39/106.78 Y := Z
% 106.39/106.78 Z := X
% 106.39/106.78 T := X
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (7579) {G9,W10,D4,L2,V3,M1} R(4886,24) { ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( X, Y ), Z ), X ),
% 106.39/106.78 apart_point_and_line( Z, X ) }.
% 106.39/106.78 parent0: (10602) {G1,W10,D4,L2,V3,M2} { ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( Y, Z ), X ), Y ),
% 106.39/106.78 apart_point_and_line( X, Y ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := Z
% 106.39/106.78 Y := X
% 106.39/106.78 Z := Y
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 0 ==> 0
% 106.39/106.78 1 ==> 1
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 resolution: (10604) {G5,W12,D4,L2,V4,M2} { distinct_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), Z ), ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( Z, T ), Y ), Z ) }.
% 106.39/106.78 parent0[1]: (1978) {G4,W8,D3,L2,V3,M1} F(1976);r(34) { distinct_lines(
% 106.39/106.78 orthogonal_through_point( Y, Z ), X ), ! apart_point_and_line( Z, X ) }.
% 106.39/106.78 parent1[1]: (7579) {G9,W10,D4,L2,V3,M1} R(4886,24) { ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( X, Y ), Z ), X ),
% 106.39/106.78 apart_point_and_line( Z, X ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := Z
% 106.39/106.78 Y := X
% 106.39/106.78 Z := Y
% 106.39/106.78 end
% 106.39/106.78 substitution1:
% 106.39/106.78 X := Z
% 106.39/106.78 Y := T
% 106.39/106.78 Z := Y
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (7631) {G10,W12,D4,L2,V4,M2} R(7579,1978) { distinct_lines(
% 106.39/106.78 orthogonal_through_point( T, Z ), X ), ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( X, Y ), Z ), X ) }.
% 106.39/106.78 parent0: (10604) {G5,W12,D4,L2,V4,M2} { distinct_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), Z ), ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( Z, T ), Y ), Z ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := T
% 106.39/106.78 Y := Z
% 106.39/106.78 Z := X
% 106.39/106.78 T := Y
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 0 ==> 0
% 106.39/106.78 1 ==> 1
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 resolution: (10605) {G1,W12,D4,L2,V3,M2} { ! convergent_lines( X, Y ), !
% 106.39/106.78 distinct_lines( orthogonal_through_point( orthogonal_through_point( Y, Z
% 106.39/106.78 ), intersection_point( X, Y ) ), Y ) }.
% 106.39/106.78 parent0[1]: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 106.39/106.78 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 106.39/106.78 parent1[1]: (7579) {G9,W10,D4,L2,V3,M1} R(4886,24) { ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( X, Y ), Z ), X ),
% 106.39/106.78 apart_point_and_line( Z, X ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 end
% 106.39/106.78 substitution1:
% 106.39/106.78 X := Y
% 106.39/106.78 Y := Z
% 106.39/106.78 Z := intersection_point( X, Y )
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (7638) {G10,W12,D4,L2,V3,M1} R(7579,9) { ! convergent_lines( Z
% 106.39/106.78 , X ), ! distinct_lines( orthogonal_through_point(
% 106.39/106.78 orthogonal_through_point( X, Y ), intersection_point( Z, X ) ), X ) }.
% 106.39/106.78 parent0: (10605) {G1,W12,D4,L2,V3,M2} { ! convergent_lines( X, Y ), !
% 106.39/106.78 distinct_lines( orthogonal_through_point( orthogonal_through_point( Y, Z
% 106.39/106.78 ), intersection_point( X, Y ) ), Y ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := Z
% 106.39/106.78 Y := X
% 106.39/106.78 Z := Y
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 0 ==> 0
% 106.39/106.78 1 ==> 1
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 resolution: (10606) {G11,W12,D4,L2,V4,M2} { distinct_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), Z ), ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( Z, T ), Y ), Z ) }.
% 106.39/106.78 parent0[1]: (7631) {G10,W12,D4,L2,V4,M2} R(7579,1978) { distinct_lines(
% 106.39/106.78 orthogonal_through_point( T, Z ), X ), ! distinct_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( X, Y ), Z ), X ) }.
% 106.39/106.78 parent1[1]: (4692) {G11,W6,D2,L2,V2,M1} S(4671);r(43) { ! convergent_lines
% 106.39/106.78 ( X, Y ), distinct_lines( X, Y ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := Z
% 106.39/106.78 Y := T
% 106.39/106.78 Z := Y
% 106.39/106.78 T := X
% 106.39/106.78 end
% 106.39/106.78 substitution1:
% 106.39/106.78 X := orthogonal_through_point( orthogonal_through_point( Z, T ), Y )
% 106.39/106.78 Y := Z
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (9429) {G12,W12,D4,L2,V4,M1} R(7631,4692) { ! convergent_lines
% 106.39/106.78 ( orthogonal_through_point( orthogonal_through_point( Z, T ), Y ), Z ),
% 106.39/106.78 distinct_lines( orthogonal_through_point( X, Y ), Z ) }.
% 106.39/106.78 parent0: (10606) {G11,W12,D4,L2,V4,M2} { distinct_lines(
% 106.39/106.78 orthogonal_through_point( X, Y ), Z ), ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( Z, T ), Y ), Z ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := Z
% 106.39/106.78 T := T
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 0 ==> 1
% 106.39/106.78 1 ==> 0
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 resolution: (10607) {G11,W12,D4,L2,V3,M2} { ! convergent_lines( X, Y ), !
% 106.39/106.78 convergent_lines( orthogonal_through_point( orthogonal_through_point( Y,
% 106.39/106.78 T ), intersection_point( X, Y ) ), Y ) }.
% 106.39/106.78 parent0[1]: (7638) {G10,W12,D4,L2,V3,M1} R(7579,9) { ! convergent_lines( Z
% 106.39/106.78 , X ), ! distinct_lines( orthogonal_through_point(
% 106.39/106.78 orthogonal_through_point( X, Y ), intersection_point( Z, X ) ), X ) }.
% 106.39/106.78 parent1[1]: (9429) {G12,W12,D4,L2,V4,M1} R(7631,4692) { ! convergent_lines
% 106.39/106.78 ( orthogonal_through_point( orthogonal_through_point( Z, T ), Y ), Z ),
% 106.39/106.78 distinct_lines( orthogonal_through_point( X, Y ), Z ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := Y
% 106.39/106.78 Y := Z
% 106.39/106.78 Z := X
% 106.39/106.78 end
% 106.39/106.78 substitution1:
% 106.39/106.78 X := orthogonal_through_point( Y, Z )
% 106.39/106.78 Y := intersection_point( X, Y )
% 106.39/106.78 Z := Y
% 106.39/106.78 T := T
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (9603) {G13,W12,D4,L2,V3,M2} R(7638,9429) { ! convergent_lines
% 106.39/106.78 ( orthogonal_through_point( orthogonal_through_point( Y, Z ),
% 106.39/106.78 intersection_point( X, Y ) ), Y ), ! convergent_lines( X, Y ) }.
% 106.39/106.78 parent0: (10607) {G11,W12,D4,L2,V3,M2} { ! convergent_lines( X, Y ), !
% 106.39/106.78 convergent_lines( orthogonal_through_point( orthogonal_through_point( Y,
% 106.39/106.78 T ), intersection_point( X, Y ) ), Y ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := T
% 106.39/106.78 T := Z
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 0 ==> 1
% 106.39/106.78 1 ==> 0
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 resolution: (10609) {G2,W12,D4,L2,V3,M2} { ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( X, Y ),
% 106.39/106.78 intersection_point( Z, X ) ), X ), ! convergent_lines( X, Z ) }.
% 106.39/106.78 parent0[1]: (9603) {G13,W12,D4,L2,V3,M2} R(7638,9429) { ! convergent_lines
% 106.39/106.78 ( orthogonal_through_point( orthogonal_through_point( Y, Z ),
% 106.39/106.78 intersection_point( X, Y ) ), Y ), ! convergent_lines( X, Y ) }.
% 106.39/106.78 parent1[1]: (43) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 106.39/106.78 convergent_lines( X, Y ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := Z
% 106.39/106.78 Y := X
% 106.39/106.78 Z := Y
% 106.39/106.78 end
% 106.39/106.78 substitution1:
% 106.39/106.78 X := Z
% 106.39/106.78 Y := X
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (9854) {G14,W12,D4,L2,V3,M2} R(9603,43) { ! convergent_lines(
% 106.39/106.78 X, Z ), ! convergent_lines( orthogonal_through_point(
% 106.39/106.78 orthogonal_through_point( X, Y ), intersection_point( Z, X ) ), X ) }.
% 106.39/106.78 parent0: (10609) {G2,W12,D4,L2,V3,M2} { ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( X, Y ),
% 106.39/106.78 intersection_point( Z, X ) ), X ), ! convergent_lines( X, Z ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := Z
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 0 ==> 1
% 106.39/106.78 1 ==> 0
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 resolution: (10612) {G4,W15,D4,L3,V4,M3} { ! convergent_lines( X, Y ),
% 106.39/106.78 convergent_lines( orthogonal_through_point( orthogonal_through_point( X,
% 106.39/106.78 Z ), intersection_point( Y, X ) ), T ), ! convergent_lines( X, T ) }.
% 106.39/106.78 parent0[1]: (9854) {G14,W12,D4,L2,V3,M2} R(9603,43) { ! convergent_lines( X
% 106.39/106.78 , Z ), ! convergent_lines( orthogonal_through_point(
% 106.39/106.78 orthogonal_through_point( X, Y ), intersection_point( Z, X ) ), X ) }.
% 106.39/106.78 parent1[0]: (216) {G3,W9,D2,L3,V3,M3} R(44,43) { convergent_lines( Z, X ),
% 106.39/106.78 convergent_lines( Z, Y ), ! convergent_lines( X, Y ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Z
% 106.39/106.78 Z := Y
% 106.39/106.78 end
% 106.39/106.78 substitution1:
% 106.39/106.78 X := X
% 106.39/106.78 Y := T
% 106.39/106.78 Z := orthogonal_through_point( orthogonal_through_point( X, Z ),
% 106.39/106.78 intersection_point( Y, X ) )
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (10085) {G15,W15,D4,L3,V4,M3} R(9854,216) { convergent_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( X, Z ),
% 106.39/106.78 intersection_point( Y, X ) ), T ), ! convergent_lines( X, T ), !
% 106.39/106.78 convergent_lines( X, Y ) }.
% 106.39/106.78 parent0: (10612) {G4,W15,D4,L3,V4,M3} { ! convergent_lines( X, Y ),
% 106.39/106.78 convergent_lines( orthogonal_through_point( orthogonal_through_point( X,
% 106.39/106.78 Z ), intersection_point( Y, X ) ), T ), ! convergent_lines( X, T ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := Z
% 106.39/106.78 T := T
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 0 ==> 2
% 106.39/106.78 1 ==> 0
% 106.39/106.78 2 ==> 1
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 factor: (10616) {G15,W12,D4,L2,V3,M2} { convergent_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( X, Y ),
% 106.39/106.78 intersection_point( Z, X ) ), Z ), ! convergent_lines( X, Z ) }.
% 106.39/106.78 parent0[1, 2]: (10085) {G15,W15,D4,L3,V4,M3} R(9854,216) { convergent_lines
% 106.39/106.78 ( orthogonal_through_point( orthogonal_through_point( X, Z ),
% 106.39/106.78 intersection_point( Y, X ) ), T ), ! convergent_lines( X, T ), !
% 106.39/106.78 convergent_lines( X, Y ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Z
% 106.39/106.78 Z := Y
% 106.39/106.78 T := Z
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (10101) {G16,W12,D4,L2,V3,M2} F(10085) { ! convergent_lines( X
% 106.39/106.78 , Z ), convergent_lines( orthogonal_through_point(
% 106.39/106.78 orthogonal_through_point( X, Y ), intersection_point( Z, X ) ), Z ) }.
% 106.39/106.78 parent0: (10616) {G15,W12,D4,L2,V3,M2} { convergent_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( X, Y ),
% 106.39/106.78 intersection_point( Z, X ) ), Z ), ! convergent_lines( X, Z ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := Z
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 0 ==> 1
% 106.39/106.78 1 ==> 0
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 resolution: (10617) {G14,W14,D4,L2,V3,M2} { ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( X, Y ), Z ), X ), !
% 106.39/106.78 convergent_lines( X, orthogonal_through_point( orthogonal_through_point(
% 106.39/106.78 X, Y ), Z ) ) }.
% 106.39/106.78 parent0[0]: (6917) {G13,W16,D5,L2,V3,M2} R(6214,6302) { ! convergent_lines
% 106.39/106.78 ( orthogonal_through_point( X, intersection_point(
% 106.39/106.78 orthogonal_through_point( X, Y ), Z ) ), orthogonal_through_point( X, Y )
% 106.39/106.78 ), ! convergent_lines( orthogonal_through_point( X, Y ), Z ) }.
% 106.39/106.78 parent1[1]: (10101) {G16,W12,D4,L2,V3,M2} F(10085) { ! convergent_lines( X
% 106.39/106.78 , Z ), convergent_lines( orthogonal_through_point(
% 106.39/106.78 orthogonal_through_point( X, Y ), intersection_point( Z, X ) ), Z ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := orthogonal_through_point( X, Y )
% 106.39/106.78 Y := Z
% 106.39/106.78 Z := X
% 106.39/106.78 end
% 106.39/106.78 substitution1:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := orthogonal_through_point( orthogonal_through_point( X, Y ), Z )
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 resolution: (10620) {G2,W14,D4,L2,V3,M2} { ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( X, Y ), Z ), X ), !
% 106.39/106.78 convergent_lines( orthogonal_through_point( orthogonal_through_point( X,
% 106.39/106.78 Y ), Z ), X ) }.
% 106.39/106.78 parent0[1]: (10617) {G14,W14,D4,L2,V3,M2} { ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( X, Y ), Z ), X ), !
% 106.39/106.78 convergent_lines( X, orthogonal_through_point( orthogonal_through_point(
% 106.39/106.78 X, Y ), Z ) ) }.
% 106.39/106.78 parent1[1]: (43) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 106.39/106.78 convergent_lines( X, Y ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := Z
% 106.39/106.78 end
% 106.39/106.78 substitution1:
% 106.39/106.78 X := X
% 106.39/106.78 Y := orthogonal_through_point( orthogonal_through_point( X, Y ), Z )
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 factor: (10622) {G2,W7,D4,L1,V3,M1} { ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( X, Y ), Z ), X ) }.
% 106.39/106.78 parent0[0, 1]: (10620) {G2,W14,D4,L2,V3,M2} { ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( X, Y ), Z ), X ), !
% 106.39/106.78 convergent_lines( orthogonal_through_point( orthogonal_through_point( X,
% 106.39/106.78 Y ), Z ), X ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := Z
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (10108) {G17,W7,D4,L1,V3,M1} R(10101,6917);r(43) { !
% 106.39/106.78 convergent_lines( orthogonal_through_point( orthogonal_through_point( X,
% 106.39/106.78 Y ), Z ), X ) }.
% 106.39/106.78 parent0: (10622) {G2,W7,D4,L1,V3,M1} { ! convergent_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( X, Y ), Z ), X ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := X
% 106.39/106.78 Y := Y
% 106.39/106.78 Z := Z
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 0 ==> 0
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 resolution: (10623) {G17,W0,D0,L0,V0,M0} { }.
% 106.39/106.78 parent0[0]: (10108) {G17,W7,D4,L1,V3,M1} R(10101,6917);r(43) { !
% 106.39/106.78 convergent_lines( orthogonal_through_point( orthogonal_through_point( X,
% 106.39/106.78 Y ), Z ), X ) }.
% 106.39/106.78 parent1[0]: (7062) {G16,W15,D6,L1,V0,M1} R(6938,215) { convergent_lines(
% 106.39/106.78 orthogonal_through_point( orthogonal_through_point( skol2, skol1 ),
% 106.39/106.78 intersection_point( orthogonal_through_point( orthogonal_through_point(
% 106.39/106.78 skol2, skol1 ), skol1 ), orthogonal_through_point( skol2, skol1 ) ) ),
% 106.39/106.78 skol2 ) }.
% 106.39/106.78 substitution0:
% 106.39/106.78 X := skol2
% 106.39/106.78 Y := skol1
% 106.39/106.78 Z := intersection_point( orthogonal_through_point(
% 106.39/106.78 orthogonal_through_point( skol2, skol1 ), skol1 ),
% 106.39/106.78 orthogonal_through_point( skol2, skol1 ) )
% 106.39/106.78 end
% 106.39/106.78 substitution1:
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 subsumption: (10305) {G18,W0,D0,L0,V0,M0} R(10108,7062) { }.
% 106.39/106.78 parent0: (10623) {G17,W0,D0,L0,V0,M0} { }.
% 106.39/106.78 substitution0:
% 106.39/106.78 end
% 106.39/106.78 permutation0:
% 106.39/106.78 end
% 106.39/106.78
% 106.39/106.78 Proof check complete!
% 106.39/106.78
% 106.39/106.78 Memory use:
% 106.39/106.78
% 106.39/106.78 space for terms: 172014
% 106.39/106.78 space for clauses: 464524
% 106.39/106.78
% 106.39/106.78
% 106.39/106.78 clauses generated: 15059949
% 106.39/106.78 clauses kept: 10306
% 106.39/106.78 clauses selected: 6723
% 106.39/106.78 clauses deleted: 204
% 106.39/106.78 clauses inuse deleted: 9
% 106.39/106.78
% 106.39/106.78 subsentry: 73126118
% 106.39/106.78 literals s-matched: 21705524
% 106.39/106.78 literals matched: 21702102
% 106.39/106.78 full subsumption: 14263308
% 106.39/106.78
% 106.39/106.78 checksum: 264594850
% 106.39/106.78
% 106.39/106.78
% 106.39/106.78 Bliksem ended
%------------------------------------------------------------------------------