%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO198+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 02:52:37 EDT 2022
% Result : Theorem 27.77s 28.13s
% Output : Refutation 27.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO198+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jun 18 19:00:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 27.77/28.13 *** allocated 10000 integers for termspace/termends
% 27.77/28.13 *** allocated 10000 integers for clauses
% 27.77/28.13 *** allocated 10000 integers for justifications
% 27.77/28.13 Bliksem 1.12
% 27.77/28.13
% 27.77/28.13
% 27.77/28.13 Automatic Strategy Selection
% 27.77/28.13
% 27.77/28.13
% 27.77/28.13 Clauses:
% 27.77/28.13
% 27.77/28.13 { ! distinct_points( X, X ) }.
% 27.77/28.13 { ! distinct_lines( X, X ) }.
% 27.77/28.13 { ! convergent_lines( X, X ) }.
% 27.77/28.13 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 27.77/28.13 ) }.
% 27.77/28.13 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 27.77/28.13 }.
% 27.77/28.13 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 27.77/28.13 , Z ) }.
% 27.77/28.13 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 27.77/28.13 , Y ) ) }.
% 27.77/28.13 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 27.77/28.13 , Y ) ) }.
% 27.77/28.13 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 27.77/28.13 , Y ), X ) }.
% 27.77/28.13 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 27.77/28.13 , Y ), Y ) }.
% 27.77/28.13 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 27.77/28.13 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 27.77/28.13 apart_point_and_line( Y, T ) }.
% 27.77/28.13 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 27.77/28.13 apart_point_and_line( Z, Y ) }.
% 27.77/28.13 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 27.77/28.13 apart_point_and_line( X, Z ) }.
% 27.77/28.13 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 27.77/28.13 Z ) }.
% 27.77/28.13 { convergent_lines( skol1, skol2 ) }.
% 27.77/28.13 { convergent_lines( skol3, skol2 ) }.
% 27.77/28.13 { convergent_lines( skol1, skol3 ) }.
% 27.77/28.13 { ! apart_point_and_line( intersection_point( skol1, skol2 ), skol3 ) }.
% 27.77/28.13 { apart_point_and_line( intersection_point( skol1, skol3 ), skol2 ) }.
% 27.77/28.13
% 27.77/28.13 percentage equality = 0.000000, percentage horn = 0.631579
% 27.77/28.13 This a non-horn, non-equality problem
% 27.77/28.13
% 27.77/28.13
% 27.77/28.13 Options Used:
% 27.77/28.13
% 27.77/28.13 useres = 1
% 27.77/28.13 useparamod = 0
% 27.77/28.13 useeqrefl = 0
% 27.77/28.13 useeqfact = 0
% 27.77/28.13 usefactor = 1
% 27.77/28.13 usesimpsplitting = 0
% 27.77/28.13 usesimpdemod = 0
% 27.77/28.13 usesimpres = 3
% 27.77/28.13
% 27.77/28.13 resimpinuse = 1000
% 27.77/28.13 resimpclauses = 20000
% 27.77/28.13 substype = standard
% 27.77/28.13 backwardsubs = 1
% 27.77/28.13 selectoldest = 5
% 27.77/28.13
% 27.77/28.13 litorderings [0] = split
% 27.77/28.13 litorderings [1] = liftord
% 27.77/28.13
% 27.77/28.13 termordering = none
% 27.77/28.13
% 27.77/28.13 litapriori = 1
% 27.77/28.13 termapriori = 0
% 27.77/28.13 litaposteriori = 0
% 27.77/28.13 termaposteriori = 0
% 27.77/28.13 demodaposteriori = 0
% 27.77/28.13 ordereqreflfact = 0
% 27.77/28.13
% 27.77/28.13 litselect = none
% 27.77/28.13
% 27.77/28.13 maxweight = 15
% 27.77/28.13 maxdepth = 30000
% 27.77/28.13 maxlength = 115
% 27.77/28.13 maxnrvars = 195
% 27.77/28.13 excuselevel = 1
% 27.77/28.13 increasemaxweight = 1
% 27.77/28.13
% 27.77/28.13 maxselected = 10000000
% 27.77/28.13 maxnrclauses = 10000000
% 27.77/28.13
% 27.77/28.13 showgenerated = 0
% 27.77/28.13 showkept = 0
% 27.77/28.13 showselected = 0
% 27.77/28.13 showdeleted = 0
% 27.77/28.13 showresimp = 1
% 27.77/28.13 showstatus = 2000
% 27.77/28.13
% 27.77/28.13 prologoutput = 0
% 27.77/28.13 nrgoals = 5000000
% 27.77/28.13 totalproof = 1
% 27.77/28.13
% 27.77/28.13 Symbols occurring in the translation:
% 27.77/28.13
% 27.77/28.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 27.77/28.13 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 27.77/28.13 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 27.77/28.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 27.77/28.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 27.77/28.13 distinct_points [36, 2] (w:1, o:44, a:1, s:1, b:0),
% 27.77/28.13 distinct_lines [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 27.77/28.13 convergent_lines [38, 2] (w:1, o:43, a:1, s:1, b:0),
% 27.77/28.13 line_connecting [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 27.77/28.13 apart_point_and_line [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 27.77/28.13 intersection_point [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 27.77/28.13 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 27.77/28.13 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 27.77/28.13 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0).
% 27.77/28.13
% 27.77/28.13
% 27.77/28.13 Starting Search:
% 27.77/28.13
% 27.77/28.13 *** allocated 15000 integers for clauses
% 27.77/28.13 *** allocated 22500 integers for clauses
% 27.77/28.13 *** allocated 33750 integers for clauses
% 27.77/28.13 *** allocated 15000 integers for termspace/termends
% 27.77/28.13 Resimplifying inuse:
% 27.77/28.13 Done
% 27.77/28.13
% 27.77/28.13 Failed to find proof!
% 27.77/28.13 maxweight = 15
% 27.77/28.13 maxnrclauses = 10000000
% 27.77/28.13 Generated: 120602
% 27.77/28.13 Kept: 875
% 27.77/28.13
% 27.77/28.13
% 27.77/28.13 The strategy used was not complete!
% 27.77/28.13
% 27.77/28.13 Increased maxweight to 16
% 27.77/28.13
% 27.77/28.13 Starting Search:
% 27.77/28.13
% 27.77/28.13 *** allocated 50625 integers for clauses
% 27.77/28.13 Resimplifying inuse:
% 27.77/28.13 Done
% 27.77/28.13
% 27.77/28.13 *** allocated 22500 integers for termspace/termends
% 27.77/28.13 Resimplifying inuse:
% 27.77/28.13 Done
% 27.77/28.13
% 27.77/28.13 Failed to find proof!
% 27.77/28.13 maxweight = 16
% 27.77/28.13 maxnrclauses = 10000000
% 27.77/28.13 Generated: 396514
% 27.77/28.13 Kept: 1239
% 27.77/28.13
% 27.77/28.13
% 27.77/28.13 The strategy used was not complete!
% 27.77/28.13
% 27.77/28.13 Increased maxweight to 17
% 27.77/28.13
% 27.77/28.13 Starting Search:
% 27.77/28.13
% 27.77/28.13 Resimplifying inuse:
% 27.77/28.13 Done
% 27.77/28.13
% 27.77/28.13 *** allocated 75937 integers for clauses
% 27.77/28.13 *** allocated 33750 integers for termspace/termends
% 27.77/28.13 Resimplifying inuse:
% 27.77/28.13 Done
% 27.77/28.13
% 27.77/28.13 Failed to find proof!
% 27.77/28.13 maxweight = 17
% 27.77/28.13 maxnrclauses = 10000000
% 27.77/28.13 Generated: 559582
% 27.77/28.13 Kept: 1667
% 27.77/28.13
% 27.77/28.13
% 27.77/28.13 The strategy used was not complete!
% 27.77/28.13
% 27.77/28.13 Increased maxweight to 18
% 27.77/28.13
% 27.77/28.13 Starting Search:
% 27.77/28.13
% 27.77/28.13 Resimplifying inuse:
% 27.77/28.13 Done
% 27.77/28.13
% 27.77/28.13 *** allocated 50625 integers for termspace/termends
% 27.77/28.13
% 27.77/28.13 Intermediate Status:
% 27.77/28.13 Generated: 123121
% 27.77/28.13 Kept: 2087
% 27.77/28.13 Inuse: 811
% 27.77/28.13 Deleted: 2
% 27.77/28.13 Deletedinuse: 0
% 27.77/28.13
% 27.77/28.13 Resimplifying inuse:
% 27.77/28.13 Done
% 27.77/28.13
% 27.77/28.13 *** allocated 113905 integers for clauses
% 27.77/28.13 *** allocated 75937 integers for termspace/termends
% 27.77/28.13 *** allocated 170857 integers for clauses
% 27.77/28.13 Resimplifying inuse:
% 27.77/28.13 Done
% 27.77/28.13
% 27.77/28.13
% 27.77/28.13 Bliksems!, er is een bewijs:
% 27.77/28.13 % SZS status Theorem
% 27.77/28.13 % SZS output start Refutation
% 27.77/28.13
% 27.77/28.13 (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 27.77/28.13 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 27.77/28.13 (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 27.77/28.13 (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 27.77/28.13 ), ! distinct_points( X, Y ) }.
% 27.77/28.13 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 27.77/28.13 , ! distinct_lines( X, Y ) }.
% 27.77/28.13 (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), convergent_lines( Y,
% 27.77/28.13 Z ), ! convergent_lines( X, Y ) }.
% 27.77/28.13 (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 27.77/28.13 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 27.77/28.13 (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 27.77/28.13 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 27.77/28.13 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 27.77/28.13 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 27.77/28.13 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 27.77/28.13 (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 27.77/28.13 ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 27.77/28.13 (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ), apart_point_and_line(
% 27.77/28.13 X, Z ), ! apart_point_and_line( X, Y ) }.
% 27.77/28.13 (13) {G0,W9,D2,L3,V3,M1} I { ! convergent_lines( X, Y ), convergent_lines(
% 27.77/28.13 X, Z ), distinct_lines( Y, Z ) }.
% 27.77/28.13 (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 ) }.
% 27.77/28.13 (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol2 ) }.
% 27.77/28.13 (16) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol3 ) }.
% 27.77/28.13 (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( intersection_point(
% 27.77/28.13 skol1, skol2 ), skol3 ) }.
% 27.77/28.13 (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( intersection_point(
% 27.77/28.13 skol1, skol3 ), skol2 ) }.
% 27.77/28.13 (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 27.77/28.13 distinct_points( X, Y ) }.
% 27.77/28.13 (23) {G2,W9,D2,L3,V3,M3} R(21,3) { distinct_points( Z, X ), !
% 27.77/28.13 distinct_points( Z, Y ), distinct_points( X, Y ) }.
% 27.77/28.13 (26) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 27.77/28.13 ( X, Y ) }.
% 27.77/28.13 (33) {G1,W6,D2,L2,V1,M1} R(5,16) { convergent_lines( skol1, X ),
% 27.77/28.13 convergent_lines( skol3, X ) }.
% 27.77/28.13 (34) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 27.77/28.13 convergent_lines( X, Y ) }.
% 27.77/28.13 (58) {G1,W22,D3,L6,V4,M3} R(10,8) { ! distinct_points( intersection_point(
% 27.77/28.13 X, Y ), Z ), ! distinct_lines( X, T ), ! convergent_lines( X, Y ),
% 27.77/28.13 apart_point_and_line( Z, T ), apart_point_and_line( intersection_point( X
% 27.77/28.13 , Y ), T ), apart_point_and_line( Z, X ) }.
% 27.77/28.13 (59) {G1,W22,D3,L6,V4,M3} R(10,9) { ! distinct_points( intersection_point(
% 27.77/28.13 X, Y ), Z ), ! distinct_lines( T, Y ), ! convergent_lines( X, Y ),
% 27.77/28.13 apart_point_and_line( intersection_point( X, Y ), T ),
% 27.77/28.13 apart_point_and_line( Z, T ), apart_point_and_line( Z, Y ) }.
% 27.77/28.13 (86) {G1,W8,D3,L2,V1,M1} R(11,18) { distinct_points( intersection_point(
% 27.77/28.13 skol1, skol3 ), X ), apart_point_and_line( X, skol2 ) }.
% 27.77/28.13 (87) {G2,W6,D2,L2,V1,M2} R(33,34) { convergent_lines( X, skol3 ),
% 27.77/28.13 convergent_lines( skol1, X ) }.
% 27.77/28.13 (89) {G3,W6,D2,L2,V1,M1} R(87,34) { convergent_lines( X, skol1 ),
% 27.77/28.13 convergent_lines( X, skol3 ) }.
% 27.77/28.13 (105) {G1,W8,D3,L2,V1,M1} R(12,18) { distinct_lines( skol2, X ),
% 27.77/28.13 apart_point_and_line( intersection_point( skol1, skol3 ), X ) }.
% 27.77/28.13 (113) {G2,W3,D2,L1,V0,M1} R(105,9);r(16) { distinct_lines( skol2, skol3 )
% 27.77/28.13 }.
% 27.77/28.13 (116) {G2,W9,D2,L3,V3,M1} R(13,26) { ! convergent_lines( X, Y ),
% 27.77/28.13 convergent_lines( X, Z ), distinct_lines( Z, Y ) }.
% 27.77/28.13 (118) {G3,W3,D2,L1,V0,M1} R(113,26) { distinct_lines( skol3, skol2 ) }.
% 27.77/28.13 (153) {G2,W10,D3,L2,V1,M1} R(86,9) { ! convergent_lines( X, skol2 ),
% 27.77/28.13 distinct_points( intersection_point( skol1, skol3 ), intersection_point(
% 27.77/28.13 X, skol2 ) ) }.
% 27.77/28.13 (431) {G3,W13,D3,L3,V2,M2} R(153,23) { ! convergent_lines( X, skol2 ),
% 27.77/28.13 distinct_points( Y, intersection_point( X, skol2 ) ), distinct_points(
% 27.77/28.13 intersection_point( skol1, skol3 ), Y ) }.
% 27.77/28.13 (656) {G2,W14,D3,L4,V1,M1} R(58,17);r(14) { ! distinct_points(
% 27.77/28.13 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol1, skol3 )
% 27.77/28.13 , apart_point_and_line( X, skol1 ), apart_point_and_line( X, skol3 ) }.
% 27.77/28.13 (688) {G4,W14,D3,L4,V1,M1} R(59,17);r(118) { ! convergent_lines( skol1,
% 27.77/28.13 skol2 ), ! distinct_points( intersection_point( skol1, skol2 ), X ),
% 27.77/28.13 apart_point_and_line( X, skol2 ), apart_point_and_line( X, skol3 ) }.
% 27.77/28.13 (1726) {G5,W11,D3,L3,V1,M1} S(688);r(14) { ! distinct_points(
% 27.77/28.13 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol2 )
% 27.77/28.13 , apart_point_and_line( X, skol3 ) }.
% 27.77/28.13 (1755) {G6,W15,D3,L3,V1,M1} R(1726,8) { ! distinct_points(
% 27.77/28.13 intersection_point( skol1, skol2 ), intersection_point( skol3, X ) ), !
% 27.77/28.13 convergent_lines( skol3, X ), apart_point_and_line( intersection_point(
% 27.77/28.13 skol3, X ), skol2 ) }.
% 27.77/28.13 (1776) {G3,W18,D3,L4,V1,M1} R(656,9) { ! distinct_points(
% 27.77/28.13 intersection_point( skol1, skol2 ), intersection_point( X, skol3 ) ), !
% 27.77/28.13 distinct_lines( skol1, skol3 ), ! convergent_lines( X, skol3 ),
% 27.77/28.13 apart_point_and_line( intersection_point( X, skol3 ), skol1 ) }.
% 27.77/28.13 (1805) {G7,W7,D3,L1,V0,M1} R(1755,9);f;r(15) { ! distinct_points(
% 27.77/28.13 intersection_point( skol1, skol2 ), intersection_point( skol3, skol2 ) )
% 27.77/28.13 }.
% 27.77/28.13 (1843) {G8,W7,D3,L1,V0,M1} R(1805,431);r(15) { distinct_points(
% 27.77/28.13 intersection_point( skol1, skol3 ), intersection_point( skol1, skol2 ) )
% 27.77/28.13 }.
% 27.77/28.13 (1961) {G9,W7,D3,L1,V0,M1} R(1843,21) { distinct_points( intersection_point
% 27.77/28.13 ( skol1, skol2 ), intersection_point( skol1, skol3 ) ) }.
% 27.77/28.13 (2796) {G10,W6,D2,L2,V0,M1} R(1776,8);f;r(1961) { ! convergent_lines( skol1
% 27.77/28.13 , skol3 ), ! distinct_lines( skol1, skol3 ) }.
% 27.77/28.13 (2797) {G11,W3,D2,L1,V0,M1} S(2796);r(16) { ! distinct_lines( skol1, skol3
% 27.77/28.13 ) }.
% 27.77/28.13 (3184) {G12,W3,D2,L1,V1,M1} R(2797,116);r(89) { convergent_lines( X, skol1
% 27.77/28.13 ) }.
% 27.77/28.13 (3266) {G13,W0,D0,L0,V0,M0} R(3184,2) { }.
% 27.77/28.13
% 27.77/28.13
% 27.77/28.13 % SZS output end Refutation
% 27.77/28.13 found a proof!
% 27.77/28.13
% 27.77/28.13
% 27.77/28.13 Unprocessed initial clauses:
% 27.77/28.13
% 27.77/28.13 (3268) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 27.77/28.13 (3269) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 27.77/28.13 (3270) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 27.77/28.13 (3271) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 27.77/28.13 , Z ), distinct_points( Y, Z ) }.
% 27.77/28.13 (3272) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 27.77/28.13 Z ), distinct_lines( Y, Z ) }.
% 27.77/28.13 (3273) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 27.77/28.13 ( X, Z ), convergent_lines( Y, Z ) }.
% 27.77/28.13 (3274) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 27.77/28.13 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 27.77/28.13 (3275) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 27.77/28.13 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 27.77/28.13 (3276) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 27.77/28.13 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 27.77/28.13 (3277) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 27.77/28.13 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 27.77/28.13 (3278) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 27.77/28.13 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 27.77/28.13 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 27.77/28.13 (3279) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 27.77/28.13 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 27.77/28.13 (3280) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 27.77/28.13 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 27.77/28.13 (3281) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines( Y
% 27.77/28.13 , Z ), convergent_lines( X, Z ) }.
% 27.77/28.13 (3282) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 27.77/28.13 (3283) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol2 ) }.
% 27.77/28.13 (3284) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol3 ) }.
% 27.77/28.13 (3285) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( intersection_point(
% 27.77/28.13 skol1, skol2 ), skol3 ) }.
% 27.77/28.13 (3286) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( intersection_point(
% 27.77/28.13 skol1, skol3 ), skol2 ) }.
% 27.77/28.13
% 27.77/28.13
% 27.77/28.13 Total Proof:
% 27.77/28.13
% 27.77/28.13 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 27.77/28.13 parent0: (3268) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 0
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 27.77/28.13 parent0: (3269) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 0
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 27.77/28.13 parent0: (3270) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 0
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 27.77/28.13 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 27.77/28.13 parent0: (3271) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ),
% 27.77/28.13 distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 Y := Y
% 27.77/28.13 Z := Z
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 2
% 27.77/28.13 1 ==> 0
% 27.77/28.13 2 ==> 1
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 27.77/28.13 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 27.77/28.13 parent0: (3272) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 27.77/28.13 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 Y := Y
% 27.77/28.13 Z := Z
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 2
% 27.77/28.13 1 ==> 0
% 27.77/28.13 2 ==> 1
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 27.77/28.13 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 27.77/28.13 parent0: (3273) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 27.77/28.13 convergent_lines( X, Z ), convergent_lines( Y, Z ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 Y := Y
% 27.77/28.13 Z := Z
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 2
% 27.77/28.13 1 ==> 0
% 27.77/28.13 2 ==> 1
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 27.77/28.13 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 27.77/28.13 parent0: (3276) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 27.77/28.13 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 Y := Y
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 0
% 27.77/28.13 1 ==> 1
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 27.77/28.13 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 27.77/28.13 parent0: (3277) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 27.77/28.13 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 Y := Y
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 0
% 27.77/28.13 1 ==> 1
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 27.77/28.13 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 27.77/28.13 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 27.77/28.13 apart_point_and_line( X, Z ) }.
% 27.77/28.13 parent0: (3278) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 27.77/28.13 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 27.77/28.13 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 27.77/28.13 apart_point_and_line( Y, T ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 Y := Y
% 27.77/28.13 Z := Z
% 27.77/28.13 T := T
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 0
% 27.77/28.13 1 ==> 1
% 27.77/28.13 2 ==> 5
% 27.77/28.13 3 ==> 2
% 27.77/28.13 4 ==> 3
% 27.77/28.13 5 ==> 4
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 27.77/28.13 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 27.77/28.13 parent0: (3279) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 27.77/28.13 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 Y := Y
% 27.77/28.13 Z := Z
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 2
% 27.77/28.13 1 ==> 0
% 27.77/28.13 2 ==> 1
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 27.77/28.13 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 27.77/28.13 parent0: (3280) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 27.77/28.13 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 Y := Y
% 27.77/28.13 Z := Z
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 2
% 27.77/28.13 1 ==> 0
% 27.77/28.13 2 ==> 1
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (13) {G0,W9,D2,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 27.77/28.13 convergent_lines( X, Z ), distinct_lines( Y, Z ) }.
% 27.77/28.13 parent0: (3281) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 27.77/28.13 distinct_lines( Y, Z ), convergent_lines( X, Z ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 Y := Y
% 27.77/28.13 Z := Z
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 0
% 27.77/28.13 1 ==> 2
% 27.77/28.13 2 ==> 1
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 27.77/28.13 }.
% 27.77/28.13 parent0: (3282) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 0
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol2 )
% 27.77/28.13 }.
% 27.77/28.13 parent0: (3283) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol2 ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 0
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (16) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol3 )
% 27.77/28.13 }.
% 27.77/28.13 parent0: (3284) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol3 ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 0
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 27.77/28.13 intersection_point( skol1, skol2 ), skol3 ) }.
% 27.77/28.13 parent0: (3285) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line(
% 27.77/28.13 intersection_point( skol1, skol2 ), skol3 ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 0
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line(
% 27.77/28.13 intersection_point( skol1, skol3 ), skol2 ) }.
% 27.77/28.13 parent0: (3286) {G0,W5,D3,L1,V0,M1} { apart_point_and_line(
% 27.77/28.13 intersection_point( skol1, skol3 ), skol2 ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 0
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 resolution: (3380) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 27.77/28.13 distinct_points( X, Y ) }.
% 27.77/28.13 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 27.77/28.13 parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 27.77/28.13 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 end
% 27.77/28.13 substitution1:
% 27.77/28.13 X := X
% 27.77/28.13 Y := Y
% 27.77/28.13 Z := X
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 27.77/28.13 distinct_points( X, Y ) }.
% 27.77/28.13 parent0: (3380) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 27.77/28.13 distinct_points( X, Y ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := Y
% 27.77/28.13 Y := X
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 1
% 27.77/28.13 1 ==> 0
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 resolution: (3383) {G1,W9,D2,L3,V3,M3} { distinct_points( Y, X ),
% 27.77/28.13 distinct_points( Z, Y ), ! distinct_points( Z, X ) }.
% 27.77/28.13 parent0[0]: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 27.77/28.13 distinct_points( X, Y ) }.
% 27.77/28.13 parent1[1]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 27.77/28.13 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := Y
% 27.77/28.13 Y := X
% 27.77/28.13 end
% 27.77/28.13 substitution1:
% 27.77/28.13 X := Z
% 27.77/28.13 Y := X
% 27.77/28.13 Z := Y
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (23) {G2,W9,D2,L3,V3,M3} R(21,3) { distinct_points( Z, X ), !
% 27.77/28.13 distinct_points( Z, Y ), distinct_points( X, Y ) }.
% 27.77/28.13 parent0: (3383) {G1,W9,D2,L3,V3,M3} { distinct_points( Y, X ),
% 27.77/28.13 distinct_points( Z, Y ), ! distinct_points( Z, X ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := Y
% 27.77/28.13 Y := X
% 27.77/28.13 Z := Z
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 2
% 27.77/28.13 1 ==> 0
% 27.77/28.13 2 ==> 1
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 resolution: (3385) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 27.77/28.13 distinct_lines( X, Y ) }.
% 27.77/28.13 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 27.77/28.13 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 27.77/28.13 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 end
% 27.77/28.13 substitution1:
% 27.77/28.13 X := X
% 27.77/28.13 Y := Y
% 27.77/28.13 Z := X
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (26) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 27.77/28.13 distinct_lines( X, Y ) }.
% 27.77/28.13 parent0: (3385) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 27.77/28.13 distinct_lines( X, Y ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := Y
% 27.77/28.13 Y := X
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 1
% 27.77/28.13 1 ==> 0
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 resolution: (3387) {G1,W6,D2,L2,V1,M2} { convergent_lines( skol1, X ),
% 27.77/28.13 convergent_lines( skol3, X ) }.
% 27.77/28.13 parent0[2]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 27.77/28.13 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 27.77/28.13 parent1[0]: (16) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol3 )
% 27.77/28.13 }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := skol1
% 27.77/28.13 Y := skol3
% 27.77/28.13 Z := X
% 27.77/28.13 end
% 27.77/28.13 substitution1:
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (33) {G1,W6,D2,L2,V1,M1} R(5,16) { convergent_lines( skol1, X
% 27.77/28.13 ), convergent_lines( skol3, X ) }.
% 27.77/28.13 parent0: (3387) {G1,W6,D2,L2,V1,M2} { convergent_lines( skol1, X ),
% 27.77/28.13 convergent_lines( skol3, X ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 0
% 27.77/28.13 1 ==> 1
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 resolution: (3388) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 27.77/28.13 convergent_lines( X, Y ) }.
% 27.77/28.13 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 27.77/28.13 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 27.77/28.13 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 end
% 27.77/28.13 substitution1:
% 27.77/28.13 X := X
% 27.77/28.13 Y := Y
% 27.77/28.13 Z := X
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (34) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 27.77/28.13 convergent_lines( X, Y ) }.
% 27.77/28.13 parent0: (3388) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 27.77/28.13 convergent_lines( X, Y ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := Y
% 27.77/28.13 Y := X
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 1
% 27.77/28.13 1 ==> 0
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 resolution: (3393) {G1,W22,D3,L6,V4,M6} { ! convergent_lines( X, Y ), !
% 27.77/28.13 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( X, T
% 27.77/28.13 ), apart_point_and_line( intersection_point( X, Y ), T ),
% 27.77/28.13 apart_point_and_line( Z, X ), apart_point_and_line( Z, T ) }.
% 27.77/28.13 parent0[1]: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 27.77/28.13 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 27.77/28.13 parent1[5]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 27.77/28.13 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 27.77/28.13 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 27.77/28.13 apart_point_and_line( X, Z ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 Y := Y
% 27.77/28.13 end
% 27.77/28.13 substitution1:
% 27.77/28.13 X := intersection_point( X, Y )
% 27.77/28.13 Y := Z
% 27.77/28.13 Z := X
% 27.77/28.13 T := T
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (58) {G1,W22,D3,L6,V4,M3} R(10,8) { ! distinct_points(
% 27.77/28.13 intersection_point( X, Y ), Z ), ! distinct_lines( X, T ), !
% 27.77/28.13 convergent_lines( X, Y ), apart_point_and_line( Z, T ),
% 27.77/28.13 apart_point_and_line( intersection_point( X, Y ), T ),
% 27.77/28.13 apart_point_and_line( Z, X ) }.
% 27.77/28.13 parent0: (3393) {G1,W22,D3,L6,V4,M6} { ! convergent_lines( X, Y ), !
% 27.77/28.13 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( X, T
% 27.77/28.13 ), apart_point_and_line( intersection_point( X, Y ), T ),
% 27.77/28.13 apart_point_and_line( Z, X ), apart_point_and_line( Z, T ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 Y := Y
% 27.77/28.13 Z := Z
% 27.77/28.13 T := T
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 2
% 27.77/28.13 1 ==> 0
% 27.77/28.13 2 ==> 1
% 27.77/28.13 3 ==> 4
% 27.77/28.13 4 ==> 5
% 27.77/28.13 5 ==> 3
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 resolution: (3399) {G1,W22,D3,L6,V4,M6} { ! convergent_lines( X, Y ), !
% 27.77/28.13 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( T, Y
% 27.77/28.13 ), apart_point_and_line( Z, T ), apart_point_and_line( Z, Y ),
% 27.77/28.13 apart_point_and_line( intersection_point( X, Y ), T ) }.
% 27.77/28.13 parent0[1]: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 27.77/28.13 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 27.77/28.13 parent1[2]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 27.77/28.13 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 27.77/28.13 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 27.77/28.13 apart_point_and_line( X, Z ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 Y := Y
% 27.77/28.13 end
% 27.77/28.13 substitution1:
% 27.77/28.13 X := intersection_point( X, Y )
% 27.77/28.13 Y := Z
% 27.77/28.13 Z := T
% 27.77/28.13 T := Y
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (59) {G1,W22,D3,L6,V4,M3} R(10,9) { ! distinct_points(
% 27.77/28.13 intersection_point( X, Y ), Z ), ! distinct_lines( T, Y ), !
% 27.77/28.13 convergent_lines( X, Y ), apart_point_and_line( intersection_point( X, Y
% 27.77/28.13 ), T ), apart_point_and_line( Z, T ), apart_point_and_line( Z, Y ) }.
% 27.77/28.13 parent0: (3399) {G1,W22,D3,L6,V4,M6} { ! convergent_lines( X, Y ), !
% 27.77/28.13 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( T, Y
% 27.77/28.13 ), apart_point_and_line( Z, T ), apart_point_and_line( Z, Y ),
% 27.77/28.13 apart_point_and_line( intersection_point( X, Y ), T ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 Y := Y
% 27.77/28.13 Z := Z
% 27.77/28.13 T := T
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 2
% 27.77/28.13 1 ==> 0
% 27.77/28.13 2 ==> 1
% 27.77/28.13 3 ==> 4
% 27.77/28.13 4 ==> 5
% 27.77/28.13 5 ==> 3
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 resolution: (3408) {G1,W8,D3,L2,V1,M2} { distinct_points(
% 27.77/28.13 intersection_point( skol1, skol3 ), X ), apart_point_and_line( X, skol2 )
% 27.77/28.13 }.
% 27.77/28.13 parent0[2]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 27.77/28.13 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 27.77/28.13 parent1[0]: (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line(
% 27.77/28.13 intersection_point( skol1, skol3 ), skol2 ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := intersection_point( skol1, skol3 )
% 27.77/28.13 Y := skol2
% 27.77/28.13 Z := X
% 27.77/28.13 end
% 27.77/28.13 substitution1:
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (86) {G1,W8,D3,L2,V1,M1} R(11,18) { distinct_points(
% 27.77/28.13 intersection_point( skol1, skol3 ), X ), apart_point_and_line( X, skol2 )
% 27.77/28.13 }.
% 27.77/28.13 parent0: (3408) {G1,W8,D3,L2,V1,M2} { distinct_points( intersection_point
% 27.77/28.13 ( skol1, skol3 ), X ), apart_point_and_line( X, skol2 ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 0
% 27.77/28.13 1 ==> 1
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 resolution: (3410) {G2,W6,D2,L2,V1,M2} { convergent_lines( X, skol3 ),
% 27.77/28.13 convergent_lines( skol1, X ) }.
% 27.77/28.13 parent0[0]: (34) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 27.77/28.13 convergent_lines( X, Y ) }.
% 27.77/28.13 parent1[1]: (33) {G1,W6,D2,L2,V1,M1} R(5,16) { convergent_lines( skol1, X )
% 27.77/28.13 , convergent_lines( skol3, X ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 Y := skol3
% 27.77/28.13 end
% 27.77/28.13 substitution1:
% 27.77/28.13 X := X
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (87) {G2,W6,D2,L2,V1,M2} R(33,34) { convergent_lines( X, skol3
% 27.77/28.13 ), convergent_lines( skol1, X ) }.
% 27.77/28.13 parent0: (3410) {G2,W6,D2,L2,V1,M2} { convergent_lines( X, skol3 ),
% 27.77/28.13 convergent_lines( skol1, X ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 0
% 27.77/28.13 1 ==> 1
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 resolution: (3412) {G2,W6,D2,L2,V1,M2} { convergent_lines( X, skol1 ),
% 27.77/28.13 convergent_lines( X, skol3 ) }.
% 27.77/28.13 parent0[0]: (34) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 27.77/28.13 convergent_lines( X, Y ) }.
% 27.77/28.13 parent1[1]: (87) {G2,W6,D2,L2,V1,M2} R(33,34) { convergent_lines( X, skol3
% 27.77/28.13 ), convergent_lines( skol1, X ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 Y := skol1
% 27.77/28.13 end
% 27.77/28.13 substitution1:
% 27.77/28.13 X := X
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (89) {G3,W6,D2,L2,V1,M1} R(87,34) { convergent_lines( X, skol1
% 27.77/28.13 ), convergent_lines( X, skol3 ) }.
% 27.77/28.13 parent0: (3412) {G2,W6,D2,L2,V1,M2} { convergent_lines( X, skol1 ),
% 27.77/28.13 convergent_lines( X, skol3 ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 0
% 27.77/28.13 1 ==> 1
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 resolution: (3413) {G1,W8,D3,L2,V1,M2} { distinct_lines( skol2, X ),
% 27.77/28.13 apart_point_and_line( intersection_point( skol1, skol3 ), X ) }.
% 27.77/28.13 parent0[2]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 27.77/28.13 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 27.77/28.13 parent1[0]: (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line(
% 27.77/28.13 intersection_point( skol1, skol3 ), skol2 ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := intersection_point( skol1, skol3 )
% 27.77/28.13 Y := skol2
% 27.77/28.13 Z := X
% 27.77/28.13 end
% 27.77/28.13 substitution1:
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (105) {G1,W8,D3,L2,V1,M1} R(12,18) { distinct_lines( skol2, X
% 27.77/28.13 ), apart_point_and_line( intersection_point( skol1, skol3 ), X ) }.
% 27.77/28.13 parent0: (3413) {G1,W8,D3,L2,V1,M2} { distinct_lines( skol2, X ),
% 27.77/28.13 apart_point_and_line( intersection_point( skol1, skol3 ), X ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 0
% 27.77/28.13 1 ==> 1
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 resolution: (3414) {G1,W6,D2,L2,V0,M2} { ! convergent_lines( skol1, skol3
% 27.77/28.13 ), distinct_lines( skol2, skol3 ) }.
% 27.77/28.13 parent0[1]: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 27.77/28.13 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 27.77/28.13 parent1[1]: (105) {G1,W8,D3,L2,V1,M1} R(12,18) { distinct_lines( skol2, X )
% 27.77/28.13 , apart_point_and_line( intersection_point( skol1, skol3 ), X ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := skol1
% 27.77/28.13 Y := skol3
% 27.77/28.13 end
% 27.77/28.13 substitution1:
% 27.77/28.13 X := skol3
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 resolution: (3415) {G1,W3,D2,L1,V0,M1} { distinct_lines( skol2, skol3 )
% 27.77/28.13 }.
% 27.77/28.13 parent0[0]: (3414) {G1,W6,D2,L2,V0,M2} { ! convergent_lines( skol1, skol3
% 27.77/28.13 ), distinct_lines( skol2, skol3 ) }.
% 27.77/28.13 parent1[0]: (16) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol3 )
% 27.77/28.13 }.
% 27.77/28.13 substitution0:
% 27.77/28.13 end
% 27.77/28.13 substitution1:
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (113) {G2,W3,D2,L1,V0,M1} R(105,9);r(16) { distinct_lines(
% 27.77/28.13 skol2, skol3 ) }.
% 27.77/28.13 parent0: (3415) {G1,W3,D2,L1,V0,M1} { distinct_lines( skol2, skol3 ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 0
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 resolution: (3416) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ), !
% 27.77/28.13 convergent_lines( Z, X ), convergent_lines( Z, Y ) }.
% 27.77/28.13 parent0[0]: (26) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 27.77/28.13 distinct_lines( X, Y ) }.
% 27.77/28.13 parent1[2]: (13) {G0,W9,D2,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 27.77/28.13 convergent_lines( X, Z ), distinct_lines( Y, Z ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := Y
% 27.77/28.13 Y := X
% 27.77/28.13 end
% 27.77/28.13 substitution1:
% 27.77/28.13 X := Z
% 27.77/28.13 Y := X
% 27.77/28.13 Z := Y
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (116) {G2,W9,D2,L3,V3,M1} R(13,26) { ! convergent_lines( X, Y
% 27.77/28.13 ), convergent_lines( X, Z ), distinct_lines( Z, Y ) }.
% 27.77/28.13 parent0: (3416) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ), !
% 27.77/28.13 convergent_lines( Z, X ), convergent_lines( Z, Y ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := Y
% 27.77/28.13 Y := Z
% 27.77/28.13 Z := X
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 2
% 27.77/28.13 1 ==> 0
% 27.77/28.13 2 ==> 1
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 resolution: (3417) {G2,W3,D2,L1,V0,M1} { distinct_lines( skol3, skol2 )
% 27.77/28.13 }.
% 27.77/28.13 parent0[0]: (26) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 27.77/28.13 distinct_lines( X, Y ) }.
% 27.77/28.13 parent1[0]: (113) {G2,W3,D2,L1,V0,M1} R(105,9);r(16) { distinct_lines(
% 27.77/28.13 skol2, skol3 ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := skol3
% 27.77/28.13 Y := skol2
% 27.77/28.13 end
% 27.77/28.13 substitution1:
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (118) {G3,W3,D2,L1,V0,M1} R(113,26) { distinct_lines( skol3,
% 27.77/28.13 skol2 ) }.
% 27.77/28.13 parent0: (3417) {G2,W3,D2,L1,V0,M1} { distinct_lines( skol3, skol2 ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 0
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 resolution: (3418) {G1,W10,D3,L2,V1,M2} { ! convergent_lines( X, skol2 ),
% 27.77/28.13 distinct_points( intersection_point( skol1, skol3 ), intersection_point(
% 27.77/28.13 X, skol2 ) ) }.
% 27.77/28.13 parent0[1]: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 27.77/28.13 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 27.77/28.13 parent1[1]: (86) {G1,W8,D3,L2,V1,M1} R(11,18) { distinct_points(
% 27.77/28.13 intersection_point( skol1, skol3 ), X ), apart_point_and_line( X, skol2 )
% 27.77/28.13 }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 Y := skol2
% 27.77/28.13 end
% 27.77/28.13 substitution1:
% 27.77/28.13 X := intersection_point( X, skol2 )
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (153) {G2,W10,D3,L2,V1,M1} R(86,9) { ! convergent_lines( X,
% 27.77/28.13 skol2 ), distinct_points( intersection_point( skol1, skol3 ),
% 27.77/28.13 intersection_point( X, skol2 ) ) }.
% 27.77/28.13 parent0: (3418) {G1,W10,D3,L2,V1,M2} { ! convergent_lines( X, skol2 ),
% 27.77/28.13 distinct_points( intersection_point( skol1, skol3 ), intersection_point(
% 27.77/28.13 X, skol2 ) ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 0
% 27.77/28.13 1 ==> 1
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 resolution: (3419) {G3,W13,D3,L3,V2,M3} { distinct_points(
% 27.77/28.13 intersection_point( skol1, skol3 ), X ), distinct_points( X,
% 27.77/28.13 intersection_point( Y, skol2 ) ), ! convergent_lines( Y, skol2 ) }.
% 27.77/28.13 parent0[1]: (23) {G2,W9,D2,L3,V3,M3} R(21,3) { distinct_points( Z, X ), !
% 27.77/28.13 distinct_points( Z, Y ), distinct_points( X, Y ) }.
% 27.77/28.13 parent1[1]: (153) {G2,W10,D3,L2,V1,M1} R(86,9) { ! convergent_lines( X,
% 27.77/28.13 skol2 ), distinct_points( intersection_point( skol1, skol3 ),
% 27.77/28.13 intersection_point( X, skol2 ) ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 Y := intersection_point( Y, skol2 )
% 27.77/28.13 Z := intersection_point( skol1, skol3 )
% 27.77/28.13 end
% 27.77/28.13 substitution1:
% 27.77/28.13 X := Y
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (431) {G3,W13,D3,L3,V2,M2} R(153,23) { ! convergent_lines( X,
% 27.77/28.13 skol2 ), distinct_points( Y, intersection_point( X, skol2 ) ),
% 27.77/28.13 distinct_points( intersection_point( skol1, skol3 ), Y ) }.
% 27.77/28.13 parent0: (3419) {G3,W13,D3,L3,V2,M3} { distinct_points( intersection_point
% 27.77/28.13 ( skol1, skol3 ), X ), distinct_points( X, intersection_point( Y, skol2 )
% 27.77/28.13 ), ! convergent_lines( Y, skol2 ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := Y
% 27.77/28.13 Y := X
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 2
% 27.77/28.13 1 ==> 1
% 27.77/28.13 2 ==> 0
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 resolution: (3421) {G1,W17,D3,L5,V1,M5} { ! distinct_points(
% 27.77/28.13 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol1, skol3 )
% 27.77/28.13 , ! convergent_lines( skol1, skol2 ), apart_point_and_line( X, skol3 ),
% 27.77/28.13 apart_point_and_line( X, skol1 ) }.
% 27.77/28.13 parent0[0]: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 27.77/28.13 intersection_point( skol1, skol2 ), skol3 ) }.
% 27.77/28.13 parent1[4]: (58) {G1,W22,D3,L6,V4,M3} R(10,8) { ! distinct_points(
% 27.77/28.13 intersection_point( X, Y ), Z ), ! distinct_lines( X, T ), !
% 27.77/28.13 convergent_lines( X, Y ), apart_point_and_line( Z, T ),
% 27.77/28.13 apart_point_and_line( intersection_point( X, Y ), T ),
% 27.77/28.13 apart_point_and_line( Z, X ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 end
% 27.77/28.13 substitution1:
% 27.77/28.13 X := skol1
% 27.77/28.13 Y := skol2
% 27.77/28.13 Z := X
% 27.77/28.13 T := skol3
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 resolution: (3423) {G1,W14,D3,L4,V1,M4} { ! distinct_points(
% 27.77/28.13 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol1, skol3 )
% 27.77/28.13 , apart_point_and_line( X, skol3 ), apart_point_and_line( X, skol1 ) }.
% 27.77/28.13 parent0[2]: (3421) {G1,W17,D3,L5,V1,M5} { ! distinct_points(
% 27.77/28.13 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol1, skol3 )
% 27.77/28.13 , ! convergent_lines( skol1, skol2 ), apart_point_and_line( X, skol3 ),
% 27.77/28.13 apart_point_and_line( X, skol1 ) }.
% 27.77/28.13 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 27.77/28.13 }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 end
% 27.77/28.13 substitution1:
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (656) {G2,W14,D3,L4,V1,M1} R(58,17);r(14) { ! distinct_points
% 27.77/28.13 ( intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol1, skol3
% 27.77/28.13 ), apart_point_and_line( X, skol1 ), apart_point_and_line( X, skol3 )
% 27.77/28.13 }.
% 27.77/28.13 parent0: (3423) {G1,W14,D3,L4,V1,M4} { ! distinct_points(
% 27.77/28.13 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol1, skol3 )
% 27.77/28.13 , apart_point_and_line( X, skol3 ), apart_point_and_line( X, skol1 ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 0
% 27.77/28.13 1 ==> 1
% 27.77/28.13 2 ==> 3
% 27.77/28.13 3 ==> 2
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 resolution: (3424) {G1,W17,D3,L5,V1,M5} { ! distinct_points(
% 27.77/28.13 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol3, skol2 )
% 27.77/28.13 , ! convergent_lines( skol1, skol2 ), apart_point_and_line( X, skol3 ),
% 27.77/28.13 apart_point_and_line( X, skol2 ) }.
% 27.77/28.13 parent0[0]: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 27.77/28.13 intersection_point( skol1, skol2 ), skol3 ) }.
% 27.77/28.13 parent1[3]: (59) {G1,W22,D3,L6,V4,M3} R(10,9) { ! distinct_points(
% 27.77/28.13 intersection_point( X, Y ), Z ), ! distinct_lines( T, Y ), !
% 27.77/28.13 convergent_lines( X, Y ), apart_point_and_line( intersection_point( X, Y
% 27.77/28.13 ), T ), apart_point_and_line( Z, T ), apart_point_and_line( Z, Y ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 end
% 27.77/28.13 substitution1:
% 27.77/28.13 X := skol1
% 27.77/28.13 Y := skol2
% 27.77/28.13 Z := X
% 27.77/28.13 T := skol3
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 resolution: (3427) {G2,W14,D3,L4,V1,M4} { ! distinct_points(
% 27.77/28.13 intersection_point( skol1, skol2 ), X ), ! convergent_lines( skol1, skol2
% 27.77/28.13 ), apart_point_and_line( X, skol3 ), apart_point_and_line( X, skol2 )
% 27.77/28.13 }.
% 27.77/28.13 parent0[1]: (3424) {G1,W17,D3,L5,V1,M5} { ! distinct_points(
% 27.77/28.13 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol3, skol2 )
% 27.77/28.13 , ! convergent_lines( skol1, skol2 ), apart_point_and_line( X, skol3 ),
% 27.77/28.13 apart_point_and_line( X, skol2 ) }.
% 27.77/28.13 parent1[0]: (118) {G3,W3,D2,L1,V0,M1} R(113,26) { distinct_lines( skol3,
% 27.77/28.13 skol2 ) }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 end
% 27.77/28.13 substitution1:
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 subsumption: (688) {G4,W14,D3,L4,V1,M1} R(59,17);r(118) { !
% 27.77/28.13 convergent_lines( skol1, skol2 ), ! distinct_points( intersection_point(
% 27.77/28.13 skol1, skol2 ), X ), apart_point_and_line( X, skol2 ),
% 27.77/28.13 apart_point_and_line( X, skol3 ) }.
% 27.77/28.13 parent0: (3427) {G2,W14,D3,L4,V1,M4} { ! distinct_points(
% 27.77/28.13 intersection_point( skol1, skol2 ), X ), ! convergent_lines( skol1, skol2
% 27.77/28.13 ), apart_point_and_line( X, skol3 ), apart_point_and_line( X, skol2 )
% 27.77/28.13 }.
% 27.77/28.13 substitution0:
% 27.77/28.13 X := X
% 27.77/28.13 end
% 27.77/28.13 permutation0:
% 27.77/28.13 0 ==> 1
% 27.77/28.13 1 ==> 0
% 27.77/28.13 2 ==> 3
% 27.77/28.13 3 ==> 2
% 27.77/28.13 end
% 27.77/28.13
% 27.77/28.13 resolution: (3428) {G1,W11,D3,L3,V1,M3} { ! distinct_points(
% 27.77/28.13 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol2 )
% 27.77/28.13 , apart_point_and_line( X, skol3 ) }.
% 27.77/28.13 parent0[0]: (688) {G4,W14,D3,L4,V1,M1} R(59,17);r(118) { ! convergent_lines
% 27.77/28.13 ( skol1, skol2 ), ! distinct_points( intersection_point( skol1, skol2 ),
% 27.77/28.13 X ), apart_point_and_line( X, skol2 ), apart_point_and_line( X, skol3 )
% 27.77/28.13 }.
% 27.77/28.13 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 27.77/28.14 }.
% 27.77/28.14 substitution0:
% 27.77/28.14 X := X
% 27.77/28.14 end
% 27.77/28.14 substitution1:
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 subsumption: (1726) {G5,W11,D3,L3,V1,M1} S(688);r(14) { ! distinct_points(
% 27.77/28.14 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol2 )
% 27.77/28.14 , apart_point_and_line( X, skol3 ) }.
% 27.77/28.14 parent0: (3428) {G1,W11,D3,L3,V1,M3} { ! distinct_points(
% 27.77/28.14 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol2 )
% 27.77/28.14 , apart_point_and_line( X, skol3 ) }.
% 27.77/28.14 substitution0:
% 27.77/28.14 X := X
% 27.77/28.14 end
% 27.77/28.14 permutation0:
% 27.77/28.14 0 ==> 0
% 27.77/28.14 1 ==> 1
% 27.77/28.14 2 ==> 2
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 resolution: (3430) {G1,W15,D3,L3,V1,M3} { ! convergent_lines( skol3, X ),
% 27.77/28.14 ! distinct_points( intersection_point( skol1, skol2 ), intersection_point
% 27.77/28.14 ( skol3, X ) ), apart_point_and_line( intersection_point( skol3, X ),
% 27.77/28.14 skol2 ) }.
% 27.77/28.14 parent0[1]: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 27.77/28.14 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 27.77/28.14 parent1[2]: (1726) {G5,W11,D3,L3,V1,M1} S(688);r(14) { ! distinct_points(
% 27.77/28.14 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol2 )
% 27.77/28.14 , apart_point_and_line( X, skol3 ) }.
% 27.77/28.14 substitution0:
% 27.77/28.14 X := skol3
% 27.77/28.14 Y := X
% 27.77/28.14 end
% 27.77/28.14 substitution1:
% 27.77/28.14 X := intersection_point( skol3, X )
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 subsumption: (1755) {G6,W15,D3,L3,V1,M1} R(1726,8) { ! distinct_points(
% 27.77/28.14 intersection_point( skol1, skol2 ), intersection_point( skol3, X ) ), !
% 27.77/28.14 convergent_lines( skol3, X ), apart_point_and_line( intersection_point(
% 27.77/28.14 skol3, X ), skol2 ) }.
% 27.77/28.14 parent0: (3430) {G1,W15,D3,L3,V1,M3} { ! convergent_lines( skol3, X ), !
% 27.77/28.14 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 27.77/28.14 skol3, X ) ), apart_point_and_line( intersection_point( skol3, X ), skol2
% 27.77/28.14 ) }.
% 27.77/28.14 substitution0:
% 27.77/28.14 X := X
% 27.77/28.14 end
% 27.77/28.14 permutation0:
% 27.77/28.14 0 ==> 1
% 27.77/28.14 1 ==> 0
% 27.77/28.14 2 ==> 2
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 resolution: (3432) {G1,W18,D3,L4,V1,M4} { ! convergent_lines( X, skol3 ),
% 27.77/28.14 ! distinct_points( intersection_point( skol1, skol2 ), intersection_point
% 27.77/28.14 ( X, skol3 ) ), ! distinct_lines( skol1, skol3 ), apart_point_and_line(
% 27.77/28.14 intersection_point( X, skol3 ), skol1 ) }.
% 27.77/28.14 parent0[1]: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 27.77/28.14 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 27.77/28.14 parent1[3]: (656) {G2,W14,D3,L4,V1,M1} R(58,17);r(14) { ! distinct_points(
% 27.77/28.14 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol1, skol3 )
% 27.77/28.14 , apart_point_and_line( X, skol1 ), apart_point_and_line( X, skol3 ) }.
% 27.77/28.14 substitution0:
% 27.77/28.14 X := X
% 27.77/28.14 Y := skol3
% 27.77/28.14 end
% 27.77/28.14 substitution1:
% 27.77/28.14 X := intersection_point( X, skol3 )
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 subsumption: (1776) {G3,W18,D3,L4,V1,M1} R(656,9) { ! distinct_points(
% 27.77/28.14 intersection_point( skol1, skol2 ), intersection_point( X, skol3 ) ), !
% 27.77/28.14 distinct_lines( skol1, skol3 ), ! convergent_lines( X, skol3 ),
% 27.77/28.14 apart_point_and_line( intersection_point( X, skol3 ), skol1 ) }.
% 27.77/28.14 parent0: (3432) {G1,W18,D3,L4,V1,M4} { ! convergent_lines( X, skol3 ), !
% 27.77/28.14 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 27.77/28.14 X, skol3 ) ), ! distinct_lines( skol1, skol3 ), apart_point_and_line(
% 27.77/28.14 intersection_point( X, skol3 ), skol1 ) }.
% 27.77/28.14 substitution0:
% 27.77/28.14 X := X
% 27.77/28.14 end
% 27.77/28.14 permutation0:
% 27.77/28.14 0 ==> 2
% 27.77/28.14 1 ==> 0
% 27.77/28.14 2 ==> 1
% 27.77/28.14 3 ==> 3
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 resolution: (3433) {G1,W13,D3,L3,V0,M3} { ! convergent_lines( skol3, skol2
% 27.77/28.14 ), ! distinct_points( intersection_point( skol1, skol2 ),
% 27.77/28.14 intersection_point( skol3, skol2 ) ), ! convergent_lines( skol3, skol2 )
% 27.77/28.14 }.
% 27.77/28.14 parent0[1]: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 27.77/28.14 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 27.77/28.14 parent1[2]: (1755) {G6,W15,D3,L3,V1,M1} R(1726,8) { ! distinct_points(
% 27.77/28.14 intersection_point( skol1, skol2 ), intersection_point( skol3, X ) ), !
% 27.77/28.14 convergent_lines( skol3, X ), apart_point_and_line( intersection_point(
% 27.77/28.14 skol3, X ), skol2 ) }.
% 27.77/28.14 substitution0:
% 27.77/28.14 X := skol3
% 27.77/28.14 Y := skol2
% 27.77/28.14 end
% 27.77/28.14 substitution1:
% 27.77/28.14 X := skol2
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 factor: (3434) {G1,W10,D3,L2,V0,M2} { ! convergent_lines( skol3, skol2 ),
% 27.77/28.14 ! distinct_points( intersection_point( skol1, skol2 ), intersection_point
% 27.77/28.14 ( skol3, skol2 ) ) }.
% 27.77/28.14 parent0[0, 2]: (3433) {G1,W13,D3,L3,V0,M3} { ! convergent_lines( skol3,
% 27.77/28.14 skol2 ), ! distinct_points( intersection_point( skol1, skol2 ),
% 27.77/28.14 intersection_point( skol3, skol2 ) ), ! convergent_lines( skol3, skol2 )
% 27.77/28.14 }.
% 27.77/28.14 substitution0:
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 resolution: (3436) {G1,W7,D3,L1,V0,M1} { ! distinct_points(
% 27.77/28.14 intersection_point( skol1, skol2 ), intersection_point( skol3, skol2 ) )
% 27.77/28.14 }.
% 27.77/28.14 parent0[0]: (3434) {G1,W10,D3,L2,V0,M2} { ! convergent_lines( skol3, skol2
% 27.77/28.14 ), ! distinct_points( intersection_point( skol1, skol2 ),
% 27.77/28.14 intersection_point( skol3, skol2 ) ) }.
% 27.77/28.14 parent1[0]: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol2 )
% 27.77/28.14 }.
% 27.77/28.14 substitution0:
% 27.77/28.14 end
% 27.77/28.14 substitution1:
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 subsumption: (1805) {G7,W7,D3,L1,V0,M1} R(1755,9);f;r(15) { !
% 27.77/28.14 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 27.77/28.14 skol3, skol2 ) ) }.
% 27.77/28.14 parent0: (3436) {G1,W7,D3,L1,V0,M1} { ! distinct_points(
% 27.77/28.14 intersection_point( skol1, skol2 ), intersection_point( skol3, skol2 ) )
% 27.77/28.14 }.
% 27.77/28.14 substitution0:
% 27.77/28.14 end
% 27.77/28.14 permutation0:
% 27.77/28.14 0 ==> 0
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 resolution: (3437) {G4,W10,D3,L2,V0,M2} { ! convergent_lines( skol3, skol2
% 27.77/28.14 ), distinct_points( intersection_point( skol1, skol3 ),
% 27.77/28.14 intersection_point( skol1, skol2 ) ) }.
% 27.77/28.14 parent0[0]: (1805) {G7,W7,D3,L1,V0,M1} R(1755,9);f;r(15) { !
% 27.77/28.14 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 27.77/28.14 skol3, skol2 ) ) }.
% 27.77/28.14 parent1[1]: (431) {G3,W13,D3,L3,V2,M2} R(153,23) { ! convergent_lines( X,
% 27.77/28.14 skol2 ), distinct_points( Y, intersection_point( X, skol2 ) ),
% 27.77/28.14 distinct_points( intersection_point( skol1, skol3 ), Y ) }.
% 27.77/28.14 substitution0:
% 27.77/28.14 end
% 27.77/28.14 substitution1:
% 27.77/28.14 X := skol3
% 27.77/28.14 Y := intersection_point( skol1, skol2 )
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 resolution: (3438) {G1,W7,D3,L1,V0,M1} { distinct_points(
% 27.77/28.14 intersection_point( skol1, skol3 ), intersection_point( skol1, skol2 ) )
% 27.77/28.14 }.
% 27.77/28.14 parent0[0]: (3437) {G4,W10,D3,L2,V0,M2} { ! convergent_lines( skol3, skol2
% 27.77/28.14 ), distinct_points( intersection_point( skol1, skol3 ),
% 27.77/28.14 intersection_point( skol1, skol2 ) ) }.
% 27.77/28.14 parent1[0]: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol2 )
% 27.77/28.14 }.
% 27.77/28.14 substitution0:
% 27.77/28.14 end
% 27.77/28.14 substitution1:
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 subsumption: (1843) {G8,W7,D3,L1,V0,M1} R(1805,431);r(15) { distinct_points
% 27.77/28.14 ( intersection_point( skol1, skol3 ), intersection_point( skol1, skol2 )
% 27.77/28.14 ) }.
% 27.77/28.14 parent0: (3438) {G1,W7,D3,L1,V0,M1} { distinct_points( intersection_point
% 27.77/28.14 ( skol1, skol3 ), intersection_point( skol1, skol2 ) ) }.
% 27.77/28.14 substitution0:
% 27.77/28.14 end
% 27.77/28.14 permutation0:
% 27.77/28.14 0 ==> 0
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 resolution: (3439) {G2,W7,D3,L1,V0,M1} { distinct_points(
% 27.77/28.14 intersection_point( skol1, skol2 ), intersection_point( skol1, skol3 ) )
% 27.77/28.14 }.
% 27.77/28.14 parent0[0]: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 27.77/28.14 distinct_points( X, Y ) }.
% 27.77/28.14 parent1[0]: (1843) {G8,W7,D3,L1,V0,M1} R(1805,431);r(15) { distinct_points
% 27.77/28.14 ( intersection_point( skol1, skol3 ), intersection_point( skol1, skol2 )
% 27.77/28.14 ) }.
% 27.77/28.14 substitution0:
% 27.77/28.14 X := intersection_point( skol1, skol2 )
% 27.77/28.14 Y := intersection_point( skol1, skol3 )
% 27.77/28.14 end
% 27.77/28.14 substitution1:
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 subsumption: (1961) {G9,W7,D3,L1,V0,M1} R(1843,21) { distinct_points(
% 27.77/28.14 intersection_point( skol1, skol2 ), intersection_point( skol1, skol3 ) )
% 27.77/28.14 }.
% 27.77/28.14 parent0: (3439) {G2,W7,D3,L1,V0,M1} { distinct_points( intersection_point
% 27.77/28.14 ( skol1, skol2 ), intersection_point( skol1, skol3 ) ) }.
% 27.77/28.14 substitution0:
% 27.77/28.14 end
% 27.77/28.14 permutation0:
% 27.77/28.14 0 ==> 0
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 resolution: (3440) {G1,W16,D3,L4,V0,M4} { ! convergent_lines( skol1, skol3
% 27.77/28.14 ), ! distinct_points( intersection_point( skol1, skol2 ),
% 27.77/28.14 intersection_point( skol1, skol3 ) ), ! distinct_lines( skol1, skol3 ), !
% 27.77/28.14 convergent_lines( skol1, skol3 ) }.
% 27.77/28.14 parent0[1]: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 27.77/28.14 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 27.77/28.14 parent1[3]: (1776) {G3,W18,D3,L4,V1,M1} R(656,9) { ! distinct_points(
% 27.77/28.14 intersection_point( skol1, skol2 ), intersection_point( X, skol3 ) ), !
% 27.77/28.14 distinct_lines( skol1, skol3 ), ! convergent_lines( X, skol3 ),
% 27.77/28.14 apart_point_and_line( intersection_point( X, skol3 ), skol1 ) }.
% 27.77/28.14 substitution0:
% 27.77/28.14 X := skol1
% 27.77/28.14 Y := skol3
% 27.77/28.14 end
% 27.77/28.14 substitution1:
% 27.77/28.14 X := skol1
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 resolution: (3442) {G2,W9,D2,L3,V0,M3} { ! convergent_lines( skol1, skol3
% 27.77/28.14 ), ! distinct_lines( skol1, skol3 ), ! convergent_lines( skol1, skol3 )
% 27.77/28.14 }.
% 27.77/28.14 parent0[1]: (3440) {G1,W16,D3,L4,V0,M4} { ! convergent_lines( skol1, skol3
% 27.77/28.14 ), ! distinct_points( intersection_point( skol1, skol2 ),
% 27.77/28.14 intersection_point( skol1, skol3 ) ), ! distinct_lines( skol1, skol3 ), !
% 27.77/28.14 convergent_lines( skol1, skol3 ) }.
% 27.77/28.14 parent1[0]: (1961) {G9,W7,D3,L1,V0,M1} R(1843,21) { distinct_points(
% 27.77/28.14 intersection_point( skol1, skol2 ), intersection_point( skol1, skol3 ) )
% 27.77/28.14 }.
% 27.77/28.14 substitution0:
% 27.77/28.14 end
% 27.77/28.14 substitution1:
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 factor: (3443) {G2,W6,D2,L2,V0,M2} { ! convergent_lines( skol1, skol3 ), !
% 27.77/28.14 distinct_lines( skol1, skol3 ) }.
% 27.77/28.14 parent0[0, 2]: (3442) {G2,W9,D2,L3,V0,M3} { ! convergent_lines( skol1,
% 27.77/28.14 skol3 ), ! distinct_lines( skol1, skol3 ), ! convergent_lines( skol1,
% 27.77/28.14 skol3 ) }.
% 27.77/28.14 substitution0:
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 subsumption: (2796) {G10,W6,D2,L2,V0,M1} R(1776,8);f;r(1961) { !
% 27.77/28.14 convergent_lines( skol1, skol3 ), ! distinct_lines( skol1, skol3 ) }.
% 27.77/28.14 parent0: (3443) {G2,W6,D2,L2,V0,M2} { ! convergent_lines( skol1, skol3 ),
% 27.77/28.14 ! distinct_lines( skol1, skol3 ) }.
% 27.77/28.14 substitution0:
% 27.77/28.14 end
% 27.77/28.14 permutation0:
% 27.77/28.14 0 ==> 0
% 27.77/28.14 1 ==> 1
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 resolution: (3444) {G1,W3,D2,L1,V0,M1} { ! distinct_lines( skol1, skol3 )
% 27.77/28.14 }.
% 27.77/28.14 parent0[0]: (2796) {G10,W6,D2,L2,V0,M1} R(1776,8);f;r(1961) { !
% 27.77/28.14 convergent_lines( skol1, skol3 ), ! distinct_lines( skol1, skol3 ) }.
% 27.77/28.14 parent1[0]: (16) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol3 )
% 27.77/28.14 }.
% 27.77/28.14 substitution0:
% 27.77/28.14 end
% 27.77/28.14 substitution1:
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 subsumption: (2797) {G11,W3,D2,L1,V0,M1} S(2796);r(16) { ! distinct_lines(
% 27.77/28.14 skol1, skol3 ) }.
% 27.77/28.14 parent0: (3444) {G1,W3,D2,L1,V0,M1} { ! distinct_lines( skol1, skol3 ) }.
% 27.77/28.14 substitution0:
% 27.77/28.14 end
% 27.77/28.14 permutation0:
% 27.77/28.14 0 ==> 0
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 resolution: (3445) {G3,W6,D2,L2,V1,M2} { ! convergent_lines( X, skol3 ),
% 27.77/28.14 convergent_lines( X, skol1 ) }.
% 27.77/28.14 parent0[0]: (2797) {G11,W3,D2,L1,V0,M1} S(2796);r(16) { ! distinct_lines(
% 27.77/28.14 skol1, skol3 ) }.
% 27.77/28.14 parent1[2]: (116) {G2,W9,D2,L3,V3,M1} R(13,26) { ! convergent_lines( X, Y )
% 27.77/28.14 , convergent_lines( X, Z ), distinct_lines( Z, Y ) }.
% 27.77/28.14 substitution0:
% 27.77/28.14 end
% 27.77/28.14 substitution1:
% 27.77/28.14 X := X
% 27.77/28.14 Y := skol3
% 27.77/28.14 Z := skol1
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 resolution: (3446) {G4,W6,D2,L2,V1,M2} { convergent_lines( X, skol1 ),
% 27.77/28.14 convergent_lines( X, skol1 ) }.
% 27.77/28.14 parent0[0]: (3445) {G3,W6,D2,L2,V1,M2} { ! convergent_lines( X, skol3 ),
% 27.77/28.14 convergent_lines( X, skol1 ) }.
% 27.77/28.14 parent1[1]: (89) {G3,W6,D2,L2,V1,M1} R(87,34) { convergent_lines( X, skol1
% 27.77/28.14 ), convergent_lines( X, skol3 ) }.
% 27.77/28.14 substitution0:
% 27.77/28.14 X := X
% 27.77/28.14 end
% 27.77/28.14 substitution1:
% 27.77/28.14 X := X
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 factor: (3447) {G4,W3,D2,L1,V1,M1} { convergent_lines( X, skol1 ) }.
% 27.77/28.14 parent0[0, 1]: (3446) {G4,W6,D2,L2,V1,M2} { convergent_lines( X, skol1 ),
% 27.77/28.14 convergent_lines( X, skol1 ) }.
% 27.77/28.14 substitution0:
% 27.77/28.14 X := X
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 subsumption: (3184) {G12,W3,D2,L1,V1,M1} R(2797,116);r(89) {
% 27.77/28.14 convergent_lines( X, skol1 ) }.
% 27.77/28.14 parent0: (3447) {G4,W3,D2,L1,V1,M1} { convergent_lines( X, skol1 ) }.
% 27.77/28.14 substitution0:
% 27.77/28.14 X := X
% 27.77/28.14 end
% 27.77/28.14 permutation0:
% 27.77/28.14 0 ==> 0
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 resolution: (3448) {G1,W0,D0,L0,V0,M0} { }.
% 27.77/28.14 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 27.77/28.14 parent1[0]: (3184) {G12,W3,D2,L1,V1,M1} R(2797,116);r(89) {
% 27.77/28.14 convergent_lines( X, skol1 ) }.
% 27.77/28.14 substitution0:
% 27.77/28.14 X := skol1
% 27.77/28.14 end
% 27.77/28.14 substitution1:
% 27.77/28.14 X := skol1
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 subsumption: (3266) {G13,W0,D0,L0,V0,M0} R(3184,2) { }.
% 27.77/28.14 parent0: (3448) {G1,W0,D0,L0,V0,M0} { }.
% 27.77/28.14 substitution0:
% 27.77/28.14 end
% 27.77/28.14 permutation0:
% 27.77/28.14 end
% 27.77/28.14
% 27.77/28.14 Proof check complete!
% 27.77/28.14
% 27.77/28.14 Memory use:
% 27.77/28.14
% 27.77/28.14 space for terms: 53039
% 27.77/28.14 space for clauses: 116461
% 27.77/28.14
% 27.77/28.14
% 27.77/28.14 clauses generated: 1106767
% 27.77/28.14 clauses kept: 3267
% 27.77/28.14 clauses selected: 2513
% 27.77/28.14 clauses deleted: 316
% 27.77/28.14 clauses inuse deleted: 305
% 27.77/28.14
% 27.77/28.14 subsentry: 4268214
% 27.77/28.14 literals s-matched: 1522043
% 27.77/28.14 literals matched: 1521977
% 27.77/28.14 full subsumption: 1319790
% 27.77/28.14
% 27.77/28.14 checksum: -62702
% 27.77/28.14
% 27.77/28.14
% 27.77/28.14 Bliksem ended
%------------------------------------------------------------------------------