TSTP Solution File: GEO197+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO197+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 02:52:36 EDT 2022
% Result : Theorem 28.02s 28.42s
% Output : Refutation 28.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO197+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jun 18 10:30:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 28.02/28.41 *** allocated 10000 integers for termspace/termends
% 28.02/28.41 *** allocated 10000 integers for clauses
% 28.02/28.41 *** allocated 10000 integers for justifications
% 28.02/28.41 Bliksem 1.12
% 28.02/28.41
% 28.02/28.41
% 28.02/28.41 Automatic Strategy Selection
% 28.02/28.41
% 28.02/28.41
% 28.02/28.41 Clauses:
% 28.02/28.41
% 28.02/28.41 { ! distinct_points( X, X ) }.
% 28.02/28.41 { ! distinct_lines( X, X ) }.
% 28.02/28.41 { ! convergent_lines( X, X ) }.
% 28.02/28.41 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 28.02/28.41 ) }.
% 28.02/28.41 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 28.02/28.41 }.
% 28.02/28.41 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 28.02/28.41 , Z ) }.
% 28.02/28.41 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 28.02/28.41 , Y ) ) }.
% 28.02/28.41 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 28.02/28.41 , Y ) ) }.
% 28.02/28.41 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 28.02/28.41 , Y ), X ) }.
% 28.02/28.41 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 28.02/28.41 , Y ), Y ) }.
% 28.02/28.41 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 28.02/28.41 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 28.02/28.41 apart_point_and_line( Y, T ) }.
% 28.02/28.41 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 28.02/28.41 apart_point_and_line( Z, Y ) }.
% 28.02/28.41 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 28.02/28.41 apart_point_and_line( X, Z ) }.
% 28.02/28.41 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 28.02/28.41 Z ) }.
% 28.02/28.41 { convergent_lines( skol1, skol2 ) }.
% 28.02/28.41 { convergent_lines( skol3, skol2 ) }.
% 28.02/28.41 { convergent_lines( skol1, skol3 ) }.
% 28.02/28.41 { ! apart_point_and_line( intersection_point( skol1, skol2 ), skol3 ) }.
% 28.02/28.41 { apart_point_and_line( intersection_point( skol3, skol2 ), skol1 ) }.
% 28.02/28.41
% 28.02/28.41 percentage equality = 0.000000, percentage horn = 0.631579
% 28.02/28.41 This a non-horn, non-equality problem
% 28.02/28.41
% 28.02/28.41
% 28.02/28.41 Options Used:
% 28.02/28.41
% 28.02/28.41 useres = 1
% 28.02/28.41 useparamod = 0
% 28.02/28.41 useeqrefl = 0
% 28.02/28.41 useeqfact = 0
% 28.02/28.41 usefactor = 1
% 28.02/28.41 usesimpsplitting = 0
% 28.02/28.41 usesimpdemod = 0
% 28.02/28.41 usesimpres = 3
% 28.02/28.41
% 28.02/28.41 resimpinuse = 1000
% 28.02/28.41 resimpclauses = 20000
% 28.02/28.41 substype = standard
% 28.02/28.41 backwardsubs = 1
% 28.02/28.41 selectoldest = 5
% 28.02/28.41
% 28.02/28.41 litorderings [0] = split
% 28.02/28.42 litorderings [1] = liftord
% 28.02/28.42
% 28.02/28.42 termordering = none
% 28.02/28.42
% 28.02/28.42 litapriori = 1
% 28.02/28.42 termapriori = 0
% 28.02/28.42 litaposteriori = 0
% 28.02/28.42 termaposteriori = 0
% 28.02/28.42 demodaposteriori = 0
% 28.02/28.42 ordereqreflfact = 0
% 28.02/28.42
% 28.02/28.42 litselect = none
% 28.02/28.42
% 28.02/28.42 maxweight = 15
% 28.02/28.42 maxdepth = 30000
% 28.02/28.42 maxlength = 115
% 28.02/28.42 maxnrvars = 195
% 28.02/28.42 excuselevel = 1
% 28.02/28.42 increasemaxweight = 1
% 28.02/28.42
% 28.02/28.42 maxselected = 10000000
% 28.02/28.42 maxnrclauses = 10000000
% 28.02/28.42
% 28.02/28.42 showgenerated = 0
% 28.02/28.42 showkept = 0
% 28.02/28.42 showselected = 0
% 28.02/28.42 showdeleted = 0
% 28.02/28.42 showresimp = 1
% 28.02/28.42 showstatus = 2000
% 28.02/28.42
% 28.02/28.42 prologoutput = 0
% 28.02/28.42 nrgoals = 5000000
% 28.02/28.42 totalproof = 1
% 28.02/28.42
% 28.02/28.42 Symbols occurring in the translation:
% 28.02/28.42
% 28.02/28.42 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 28.02/28.42 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 28.02/28.42 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 28.02/28.42 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 28.02/28.42 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 28.02/28.42 distinct_points [36, 2] (w:1, o:44, a:1, s:1, b:0),
% 28.02/28.42 distinct_lines [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 28.02/28.42 convergent_lines [38, 2] (w:1, o:43, a:1, s:1, b:0),
% 28.02/28.42 line_connecting [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 28.02/28.42 apart_point_and_line [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 28.02/28.42 intersection_point [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 28.02/28.42 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 28.02/28.42 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 28.02/28.42 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0).
% 28.02/28.42
% 28.02/28.42
% 28.02/28.42 Starting Search:
% 28.02/28.42
% 28.02/28.42 *** allocated 15000 integers for clauses
% 28.02/28.42 *** allocated 22500 integers for clauses
% 28.02/28.42 *** allocated 33750 integers for clauses
% 28.02/28.42 *** allocated 15000 integers for termspace/termends
% 28.02/28.42 Resimplifying inuse:
% 28.02/28.42 Done
% 28.02/28.42
% 28.02/28.42 Failed to find proof!
% 28.02/28.42 maxweight = 15
% 28.02/28.42 maxnrclauses = 10000000
% 28.02/28.42 Generated: 120626
% 28.02/28.42 Kept: 875
% 28.02/28.42
% 28.02/28.42
% 28.02/28.42 The strategy used was not complete!
% 28.02/28.42
% 28.02/28.42 Increased maxweight to 16
% 28.02/28.42
% 28.02/28.42 Starting Search:
% 28.02/28.42
% 28.02/28.42 *** allocated 50625 integers for clauses
% 28.02/28.42 Resimplifying inuse:
% 28.02/28.42 Done
% 28.02/28.42
% 28.02/28.42 *** allocated 22500 integers for termspace/termends
% 28.02/28.42 Resimplifying inuse:
% 28.02/28.42 Done
% 28.02/28.42
% 28.02/28.42 Failed to find proof!
% 28.02/28.42 maxweight = 16
% 28.02/28.42 maxnrclauses = 10000000
% 28.02/28.42 Generated: 396612
% 28.02/28.42 Kept: 1239
% 28.02/28.42
% 28.02/28.42
% 28.02/28.42 The strategy used was not complete!
% 28.02/28.42
% 28.02/28.42 Increased maxweight to 17
% 28.02/28.42
% 28.02/28.42 Starting Search:
% 28.02/28.42
% 28.02/28.42 Resimplifying inuse:
% 28.02/28.42 Done
% 28.02/28.42
% 28.02/28.42 *** allocated 75937 integers for clauses
% 28.02/28.42 *** allocated 33750 integers for termspace/termends
% 28.02/28.42 Resimplifying inuse:
% 28.02/28.42 Done
% 28.02/28.42
% 28.02/28.42 Failed to find proof!
% 28.02/28.42 maxweight = 17
% 28.02/28.42 maxnrclauses = 10000000
% 28.02/28.42 Generated: 559680
% 28.02/28.42 Kept: 1667
% 28.02/28.42
% 28.02/28.42
% 28.02/28.42 The strategy used was not complete!
% 28.02/28.42
% 28.02/28.42 Increased maxweight to 18
% 28.02/28.42
% 28.02/28.42 Starting Search:
% 28.02/28.42
% 28.02/28.42 Resimplifying inuse:
% 28.02/28.42 Done
% 28.02/28.42
% 28.02/28.42 *** allocated 50625 integers for termspace/termends
% 28.02/28.42
% 28.02/28.42 Intermediate Status:
% 28.02/28.42 Generated: 123137
% 28.02/28.42 Kept: 2087
% 28.02/28.42 Inuse: 811
% 28.02/28.42 Deleted: 2
% 28.02/28.42 Deletedinuse: 0
% 28.02/28.42
% 28.02/28.42 Resimplifying inuse:
% 28.02/28.42 Done
% 28.02/28.42
% 28.02/28.42 *** allocated 113905 integers for clauses
% 28.02/28.42
% 28.02/28.42 Bliksems!, er is een bewijs:
% 28.02/28.42 % SZS status Theorem
% 28.02/28.42 % SZS output start Refutation
% 28.02/28.42
% 28.02/28.42 (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 28.02/28.42 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 28.02/28.42 (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 28.02/28.42 (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 28.02/28.42 ), ! distinct_points( X, Y ) }.
% 28.02/28.42 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 28.02/28.42 , ! distinct_lines( X, Y ) }.
% 28.02/28.42 (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), convergent_lines( Y,
% 28.02/28.42 Z ), ! convergent_lines( X, Y ) }.
% 28.02/28.42 (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 28.02/28.42 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 28.02/28.42 (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 28.02/28.42 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 28.02/28.42 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 28.02/28.42 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 28.02/28.42 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 28.02/28.42 (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 28.02/28.42 ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 28.02/28.42 (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ), apart_point_and_line(
% 28.02/28.42 X, Z ), ! apart_point_and_line( X, Y ) }.
% 28.02/28.42 (13) {G0,W9,D2,L3,V3,M1} I { ! convergent_lines( X, Y ), convergent_lines(
% 28.02/28.42 X, Z ), distinct_lines( Y, Z ) }.
% 28.02/28.42 (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 ) }.
% 28.02/28.42 (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol2 ) }.
% 28.02/28.42 (16) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol3 ) }.
% 28.02/28.42 (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( intersection_point(
% 28.02/28.42 skol1, skol2 ), skol3 ) }.
% 28.02/28.42 (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( intersection_point(
% 28.02/28.42 skol3, skol2 ), skol1 ) }.
% 28.02/28.42 (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 28.02/28.42 distinct_points( X, Y ) }.
% 28.02/28.42 (23) {G2,W9,D2,L3,V3,M3} R(21,3) { distinct_points( Z, X ), !
% 28.02/28.42 distinct_points( Z, Y ), distinct_points( X, Y ) }.
% 28.02/28.42 (26) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 28.02/28.42 ( X, Y ) }.
% 28.02/28.42 (32) {G1,W6,D2,L2,V1,M1} R(5,15) { convergent_lines( skol2, X ),
% 28.02/28.42 convergent_lines( skol3, X ) }.
% 28.02/28.42 (34) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 28.02/28.42 convergent_lines( X, Y ) }.
% 28.02/28.42 (39) {G2,W3,D2,L1,V0,M1} R(34,16) { convergent_lines( skol3, skol1 ) }.
% 28.02/28.42 (55) {G1,W22,D3,L6,V4,M3} R(10,8) { ! distinct_points( intersection_point(
% 28.02/28.42 X, Y ), Z ), ! distinct_lines( T, X ), ! convergent_lines( X, Y ),
% 28.02/28.42 apart_point_and_line( intersection_point( X, Y ), T ),
% 28.02/28.42 apart_point_and_line( Z, T ), apart_point_and_line( Z, X ) }.
% 28.02/28.42 (62) {G1,W22,D3,L6,V4,M3} R(10,9) { ! distinct_points( intersection_point(
% 28.02/28.42 X, Y ), Z ), ! distinct_lines( Y, T ), ! convergent_lines( X, Y ),
% 28.02/28.42 apart_point_and_line( Z, T ), apart_point_and_line( intersection_point( X
% 28.02/28.42 , Y ), T ), apart_point_and_line( Z, Y ) }.
% 28.02/28.42 (69) {G2,W6,D2,L2,V1,M2} R(32,34) { convergent_lines( X, skol3 ),
% 28.02/28.42 convergent_lines( skol2, X ) }.
% 28.02/28.42 (71) {G3,W6,D2,L2,V1,M1} R(69,34) { convergent_lines( X, skol2 ),
% 28.02/28.42 convergent_lines( X, skol3 ) }.
% 28.02/28.42 (86) {G1,W8,D3,L2,V1,M1} R(11,18) { distinct_points( intersection_point(
% 28.02/28.42 skol3, skol2 ), X ), apart_point_and_line( X, skol1 ) }.
% 28.02/28.42 (105) {G1,W8,D3,L2,V1,M1} R(12,18) { distinct_lines( skol1, X ),
% 28.02/28.42 apart_point_and_line( intersection_point( skol3, skol2 ), X ) }.
% 28.02/28.42 (112) {G2,W3,D2,L1,V0,M1} R(105,8);r(15) { distinct_lines( skol1, skol3 )
% 28.02/28.42 }.
% 28.02/28.42 (114) {G3,W3,D2,L1,V0,M1} R(112,26) { distinct_lines( skol3, skol1 ) }.
% 28.02/28.42 (116) {G2,W9,D2,L3,V3,M1} R(13,26) { ! convergent_lines( X, Y ),
% 28.02/28.42 convergent_lines( X, Z ), distinct_lines( Z, Y ) }.
% 28.02/28.42 (153) {G2,W10,D3,L2,V1,M1} R(86,9) { ! convergent_lines( X, skol1 ),
% 28.02/28.42 distinct_points( intersection_point( skol3, skol2 ), intersection_point(
% 28.02/28.42 X, skol1 ) ) }.
% 28.02/28.42 (431) {G3,W13,D3,L3,V2,M2} R(153,23) { ! convergent_lines( X, skol1 ),
% 28.02/28.42 distinct_points( Y, intersection_point( X, skol1 ) ), distinct_points(
% 28.02/28.42 intersection_point( skol3, skol2 ), Y ) }.
% 28.02/28.42 (534) {G4,W14,D3,L4,V1,M1} R(55,17);r(114) { ! convergent_lines( skol1,
% 28.02/28.42 skol2 ), ! distinct_points( intersection_point( skol1, skol2 ), X ),
% 28.02/28.42 apart_point_and_line( X, skol1 ), apart_point_and_line( X, skol3 ) }.
% 28.02/28.42 (805) {G2,W14,D3,L4,V1,M1} R(62,17);r(14) { ! distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol2, skol3 )
% 28.02/28.42 , apart_point_and_line( X, skol2 ), apart_point_and_line( X, skol3 ) }.
% 28.02/28.42 (1685) {G3,W18,D3,L4,V1,M1} R(805,8) { ! distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), intersection_point( skol3, X ) ), !
% 28.02/28.42 distinct_lines( skol2, skol3 ), ! convergent_lines( skol3, X ),
% 28.02/28.42 apart_point_and_line( intersection_point( skol3, X ), skol2 ) }.
% 28.02/28.42 (1750) {G5,W11,D3,L3,V1,M1} S(534);r(14) { ! distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol1 )
% 28.02/28.42 , apart_point_and_line( X, skol3 ) }.
% 28.02/28.42 (1779) {G6,W15,D3,L3,V1,M1} R(1750,8) { ! distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), intersection_point( skol3, X ) ), !
% 28.02/28.42 convergent_lines( skol3, X ), apart_point_and_line( intersection_point(
% 28.02/28.42 skol3, X ), skol1 ) }.
% 28.02/28.42 (1805) {G7,W7,D3,L1,V0,M1} R(1779,9);f;r(39) { ! distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), intersection_point( skol3, skol1 ) )
% 28.02/28.42 }.
% 28.02/28.42 (1844) {G8,W7,D3,L1,V0,M1} R(1805,431);r(39) { distinct_points(
% 28.02/28.42 intersection_point( skol3, skol2 ), intersection_point( skol1, skol2 ) )
% 28.02/28.42 }.
% 28.02/28.42 (1961) {G9,W7,D3,L1,V0,M1} R(1844,21) { distinct_points( intersection_point
% 28.02/28.42 ( skol1, skol2 ), intersection_point( skol3, skol2 ) ) }.
% 28.02/28.42 (2563) {G10,W6,D2,L2,V0,M1} R(1685,9);f;r(1961) { ! convergent_lines( skol3
% 28.02/28.42 , skol2 ), ! distinct_lines( skol2, skol3 ) }.
% 28.02/28.42 (2564) {G11,W3,D2,L1,V0,M1} S(2563);r(15) { ! distinct_lines( skol2, skol3
% 28.02/28.42 ) }.
% 28.02/28.42 (2931) {G12,W3,D2,L1,V1,M1} R(2564,116);r(71) { convergent_lines( X, skol2
% 28.02/28.42 ) }.
% 28.02/28.42 (2971) {G13,W0,D0,L0,V0,M0} R(2931,2) { }.
% 28.02/28.42
% 28.02/28.42
% 28.02/28.42 % SZS output end Refutation
% 28.02/28.42 found a proof!
% 28.02/28.42
% 28.02/28.42
% 28.02/28.42 Unprocessed initial clauses:
% 28.02/28.42
% 28.02/28.42 (2973) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 28.02/28.42 (2974) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 28.02/28.42 (2975) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 28.02/28.42 (2976) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 28.02/28.42 , Z ), distinct_points( Y, Z ) }.
% 28.02/28.42 (2977) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 28.02/28.42 Z ), distinct_lines( Y, Z ) }.
% 28.02/28.42 (2978) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 28.02/28.42 ( X, Z ), convergent_lines( Y, Z ) }.
% 28.02/28.42 (2979) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 28.02/28.42 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 28.02/28.42 (2980) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 28.02/28.42 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 28.02/28.42 (2981) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 28.02/28.42 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 28.02/28.42 (2982) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 28.02/28.42 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 28.02/28.42 (2983) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 28.02/28.42 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 28.02/28.42 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 28.02/28.42 (2984) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 28.02/28.42 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 28.02/28.42 (2985) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 28.02/28.42 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 28.02/28.42 (2986) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines( Y
% 28.02/28.42 , Z ), convergent_lines( X, Z ) }.
% 28.02/28.42 (2987) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 28.02/28.42 (2988) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol2 ) }.
% 28.02/28.42 (2989) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol3 ) }.
% 28.02/28.42 (2990) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( intersection_point(
% 28.02/28.42 skol1, skol2 ), skol3 ) }.
% 28.02/28.42 (2991) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( intersection_point(
% 28.02/28.42 skol3, skol2 ), skol1 ) }.
% 28.02/28.42
% 28.02/28.42
% 28.02/28.42 Total Proof:
% 28.02/28.42
% 28.02/28.42 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 28.02/28.42 parent0: (2973) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 28.02/28.42 parent0: (2974) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 28.02/28.42 parent0: (2975) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 28.02/28.42 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 28.02/28.42 parent0: (2976) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ),
% 28.02/28.42 distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 Y := Y
% 28.02/28.42 Z := Z
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 2
% 28.02/28.42 1 ==> 0
% 28.02/28.42 2 ==> 1
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 28.02/28.42 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 28.02/28.42 parent0: (2977) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 28.02/28.42 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 Y := Y
% 28.02/28.42 Z := Z
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 2
% 28.02/28.42 1 ==> 0
% 28.02/28.42 2 ==> 1
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 28.02/28.42 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 28.02/28.42 parent0: (2978) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 28.02/28.42 convergent_lines( X, Z ), convergent_lines( Y, Z ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 Y := Y
% 28.02/28.42 Z := Z
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 2
% 28.02/28.42 1 ==> 0
% 28.02/28.42 2 ==> 1
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 28.02/28.42 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 28.02/28.42 parent0: (2981) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 28.02/28.42 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 Y := Y
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 1 ==> 1
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 28.02/28.42 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 28.02/28.42 parent0: (2982) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 28.02/28.42 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 Y := Y
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 1 ==> 1
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 28.02/28.42 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 28.02/28.42 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 28.02/28.42 apart_point_and_line( X, Z ) }.
% 28.02/28.42 parent0: (2983) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 28.02/28.42 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 28.02/28.42 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 28.02/28.42 apart_point_and_line( Y, T ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 Y := Y
% 28.02/28.42 Z := Z
% 28.02/28.42 T := T
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 1 ==> 1
% 28.02/28.42 2 ==> 5
% 28.02/28.42 3 ==> 2
% 28.02/28.42 4 ==> 3
% 28.02/28.42 5 ==> 4
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 28.02/28.42 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 28.02/28.42 parent0: (2984) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 28.02/28.42 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 Y := Y
% 28.02/28.42 Z := Z
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 2
% 28.02/28.42 1 ==> 0
% 28.02/28.42 2 ==> 1
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 28.02/28.42 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 28.02/28.42 parent0: (2985) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 28.02/28.42 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 Y := Y
% 28.02/28.42 Z := Z
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 2
% 28.02/28.42 1 ==> 0
% 28.02/28.42 2 ==> 1
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (13) {G0,W9,D2,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 28.02/28.42 convergent_lines( X, Z ), distinct_lines( Y, Z ) }.
% 28.02/28.42 parent0: (2986) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 28.02/28.42 distinct_lines( Y, Z ), convergent_lines( X, Z ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 Y := Y
% 28.02/28.42 Z := Z
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 1 ==> 2
% 28.02/28.42 2 ==> 1
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 28.02/28.42 }.
% 28.02/28.42 parent0: (2987) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol2 )
% 28.02/28.42 }.
% 28.02/28.42 parent0: (2988) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol2 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (16) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol3 )
% 28.02/28.42 }.
% 28.02/28.42 parent0: (2989) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol3 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 28.02/28.42 intersection_point( skol1, skol2 ), skol3 ) }.
% 28.02/28.42 parent0: (2990) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line(
% 28.02/28.42 intersection_point( skol1, skol2 ), skol3 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line(
% 28.02/28.42 intersection_point( skol3, skol2 ), skol1 ) }.
% 28.02/28.42 parent0: (2991) {G0,W5,D3,L1,V0,M1} { apart_point_and_line(
% 28.02/28.42 intersection_point( skol3, skol2 ), skol1 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3085) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 28.02/28.42 distinct_points( X, Y ) }.
% 28.02/28.42 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 28.02/28.42 parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 28.02/28.42 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 X := X
% 28.02/28.42 Y := Y
% 28.02/28.42 Z := X
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 28.02/28.42 distinct_points( X, Y ) }.
% 28.02/28.42 parent0: (3085) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 28.02/28.42 distinct_points( X, Y ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := Y
% 28.02/28.42 Y := X
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 1
% 28.02/28.42 1 ==> 0
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3088) {G1,W9,D2,L3,V3,M3} { distinct_points( Y, X ),
% 28.02/28.42 distinct_points( Z, Y ), ! distinct_points( Z, X ) }.
% 28.02/28.42 parent0[0]: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 28.02/28.42 distinct_points( X, Y ) }.
% 28.02/28.42 parent1[1]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 28.02/28.42 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := Y
% 28.02/28.42 Y := X
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 X := Z
% 28.02/28.42 Y := X
% 28.02/28.42 Z := Y
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (23) {G2,W9,D2,L3,V3,M3} R(21,3) { distinct_points( Z, X ), !
% 28.02/28.42 distinct_points( Z, Y ), distinct_points( X, Y ) }.
% 28.02/28.42 parent0: (3088) {G1,W9,D2,L3,V3,M3} { distinct_points( Y, X ),
% 28.02/28.42 distinct_points( Z, Y ), ! distinct_points( Z, X ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := Y
% 28.02/28.42 Y := X
% 28.02/28.42 Z := Z
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 2
% 28.02/28.42 1 ==> 0
% 28.02/28.42 2 ==> 1
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3090) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 28.02/28.42 distinct_lines( X, Y ) }.
% 28.02/28.42 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 28.02/28.42 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 28.02/28.42 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 X := X
% 28.02/28.42 Y := Y
% 28.02/28.42 Z := X
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (26) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 28.02/28.42 distinct_lines( X, Y ) }.
% 28.02/28.42 parent0: (3090) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 28.02/28.42 distinct_lines( X, Y ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := Y
% 28.02/28.42 Y := X
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 1
% 28.02/28.42 1 ==> 0
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3092) {G1,W6,D2,L2,V1,M2} { convergent_lines( skol3, X ),
% 28.02/28.42 convergent_lines( skol2, X ) }.
% 28.02/28.42 parent0[2]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 28.02/28.42 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 28.02/28.42 parent1[0]: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol2 )
% 28.02/28.42 }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := skol3
% 28.02/28.42 Y := skol2
% 28.02/28.42 Z := X
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (32) {G1,W6,D2,L2,V1,M1} R(5,15) { convergent_lines( skol2, X
% 28.02/28.42 ), convergent_lines( skol3, X ) }.
% 28.02/28.42 parent0: (3092) {G1,W6,D2,L2,V1,M2} { convergent_lines( skol3, X ),
% 28.02/28.42 convergent_lines( skol2, X ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 1
% 28.02/28.42 1 ==> 0
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3093) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 28.02/28.42 convergent_lines( X, Y ) }.
% 28.02/28.42 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 28.02/28.42 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 28.02/28.42 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 X := X
% 28.02/28.42 Y := Y
% 28.02/28.42 Z := X
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (34) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 28.02/28.42 convergent_lines( X, Y ) }.
% 28.02/28.42 parent0: (3093) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 28.02/28.42 convergent_lines( X, Y ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := Y
% 28.02/28.42 Y := X
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 1
% 28.02/28.42 1 ==> 0
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3095) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol1 )
% 28.02/28.42 }.
% 28.02/28.42 parent0[0]: (34) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 28.02/28.42 convergent_lines( X, Y ) }.
% 28.02/28.42 parent1[0]: (16) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol3 )
% 28.02/28.42 }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := skol3
% 28.02/28.42 Y := skol1
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (39) {G2,W3,D2,L1,V0,M1} R(34,16) { convergent_lines( skol3,
% 28.02/28.42 skol1 ) }.
% 28.02/28.42 parent0: (3095) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol1 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3096) {G1,W22,D3,L6,V4,M6} { ! convergent_lines( X, Y ), !
% 28.02/28.42 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( T, X
% 28.02/28.42 ), apart_point_and_line( Z, T ), apart_point_and_line( Z, X ),
% 28.02/28.42 apart_point_and_line( intersection_point( X, Y ), T ) }.
% 28.02/28.42 parent0[1]: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 28.02/28.42 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 28.02/28.42 parent1[2]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 28.02/28.42 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 28.02/28.42 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 28.02/28.42 apart_point_and_line( X, Z ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 Y := Y
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 X := intersection_point( X, Y )
% 28.02/28.42 Y := Z
% 28.02/28.42 Z := T
% 28.02/28.42 T := X
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (55) {G1,W22,D3,L6,V4,M3} R(10,8) { ! distinct_points(
% 28.02/28.42 intersection_point( X, Y ), Z ), ! distinct_lines( T, X ), !
% 28.02/28.42 convergent_lines( X, Y ), apart_point_and_line( intersection_point( X, Y
% 28.02/28.42 ), T ), apart_point_and_line( Z, T ), apart_point_and_line( Z, X ) }.
% 28.02/28.42 parent0: (3096) {G1,W22,D3,L6,V4,M6} { ! convergent_lines( X, Y ), !
% 28.02/28.42 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( T, X
% 28.02/28.42 ), apart_point_and_line( Z, T ), apart_point_and_line( Z, X ),
% 28.02/28.42 apart_point_and_line( intersection_point( X, Y ), T ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 Y := Y
% 28.02/28.42 Z := Z
% 28.02/28.42 T := T
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 2
% 28.02/28.42 1 ==> 0
% 28.02/28.42 2 ==> 1
% 28.02/28.42 3 ==> 4
% 28.02/28.42 4 ==> 5
% 28.02/28.42 5 ==> 3
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3108) {G1,W22,D3,L6,V4,M6} { ! convergent_lines( X, Y ), !
% 28.02/28.42 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( Y, T
% 28.02/28.42 ), apart_point_and_line( intersection_point( X, Y ), T ),
% 28.02/28.42 apart_point_and_line( Z, Y ), apart_point_and_line( Z, T ) }.
% 28.02/28.42 parent0[1]: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 28.02/28.42 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 28.02/28.42 parent1[5]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 28.02/28.42 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 28.02/28.42 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 28.02/28.42 apart_point_and_line( X, Z ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 Y := Y
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 X := intersection_point( X, Y )
% 28.02/28.42 Y := Z
% 28.02/28.42 Z := Y
% 28.02/28.42 T := T
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (62) {G1,W22,D3,L6,V4,M3} R(10,9) { ! distinct_points(
% 28.02/28.42 intersection_point( X, Y ), Z ), ! distinct_lines( Y, T ), !
% 28.02/28.42 convergent_lines( X, Y ), apart_point_and_line( Z, T ),
% 28.02/28.42 apart_point_and_line( intersection_point( X, Y ), T ),
% 28.02/28.42 apart_point_and_line( Z, Y ) }.
% 28.02/28.42 parent0: (3108) {G1,W22,D3,L6,V4,M6} { ! convergent_lines( X, Y ), !
% 28.02/28.42 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( Y, T
% 28.02/28.42 ), apart_point_and_line( intersection_point( X, Y ), T ),
% 28.02/28.42 apart_point_and_line( Z, Y ), apart_point_and_line( Z, T ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 Y := Y
% 28.02/28.42 Z := Z
% 28.02/28.42 T := T
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 2
% 28.02/28.42 1 ==> 0
% 28.02/28.42 2 ==> 1
% 28.02/28.42 3 ==> 4
% 28.02/28.42 4 ==> 5
% 28.02/28.42 5 ==> 3
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3115) {G2,W6,D2,L2,V1,M2} { convergent_lines( X, skol3 ),
% 28.02/28.42 convergent_lines( skol2, X ) }.
% 28.02/28.42 parent0[0]: (34) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 28.02/28.42 convergent_lines( X, Y ) }.
% 28.02/28.42 parent1[1]: (32) {G1,W6,D2,L2,V1,M1} R(5,15) { convergent_lines( skol2, X )
% 28.02/28.42 , convergent_lines( skol3, X ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 Y := skol3
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 X := X
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (69) {G2,W6,D2,L2,V1,M2} R(32,34) { convergent_lines( X, skol3
% 28.02/28.42 ), convergent_lines( skol2, X ) }.
% 28.02/28.42 parent0: (3115) {G2,W6,D2,L2,V1,M2} { convergent_lines( X, skol3 ),
% 28.02/28.42 convergent_lines( skol2, X ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 1 ==> 1
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3117) {G2,W6,D2,L2,V1,M2} { convergent_lines( X, skol2 ),
% 28.02/28.42 convergent_lines( X, skol3 ) }.
% 28.02/28.42 parent0[0]: (34) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 28.02/28.42 convergent_lines( X, Y ) }.
% 28.02/28.42 parent1[1]: (69) {G2,W6,D2,L2,V1,M2} R(32,34) { convergent_lines( X, skol3
% 28.02/28.42 ), convergent_lines( skol2, X ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 Y := skol2
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 X := X
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (71) {G3,W6,D2,L2,V1,M1} R(69,34) { convergent_lines( X, skol2
% 28.02/28.42 ), convergent_lines( X, skol3 ) }.
% 28.02/28.42 parent0: (3117) {G2,W6,D2,L2,V1,M2} { convergent_lines( X, skol2 ),
% 28.02/28.42 convergent_lines( X, skol3 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 1 ==> 1
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3118) {G1,W8,D3,L2,V1,M2} { distinct_points(
% 28.02/28.42 intersection_point( skol3, skol2 ), X ), apart_point_and_line( X, skol1 )
% 28.02/28.42 }.
% 28.02/28.42 parent0[2]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 28.02/28.42 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 28.02/28.42 parent1[0]: (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line(
% 28.02/28.42 intersection_point( skol3, skol2 ), skol1 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := intersection_point( skol3, skol2 )
% 28.02/28.42 Y := skol1
% 28.02/28.42 Z := X
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (86) {G1,W8,D3,L2,V1,M1} R(11,18) { distinct_points(
% 28.02/28.42 intersection_point( skol3, skol2 ), X ), apart_point_and_line( X, skol1 )
% 28.02/28.42 }.
% 28.02/28.42 parent0: (3118) {G1,W8,D3,L2,V1,M2} { distinct_points( intersection_point
% 28.02/28.42 ( skol3, skol2 ), X ), apart_point_and_line( X, skol1 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 1 ==> 1
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3119) {G1,W8,D3,L2,V1,M2} { distinct_lines( skol1, X ),
% 28.02/28.42 apart_point_and_line( intersection_point( skol3, skol2 ), X ) }.
% 28.02/28.42 parent0[2]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 28.02/28.42 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 28.02/28.42 parent1[0]: (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line(
% 28.02/28.42 intersection_point( skol3, skol2 ), skol1 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := intersection_point( skol3, skol2 )
% 28.02/28.42 Y := skol1
% 28.02/28.42 Z := X
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (105) {G1,W8,D3,L2,V1,M1} R(12,18) { distinct_lines( skol1, X
% 28.02/28.42 ), apart_point_and_line( intersection_point( skol3, skol2 ), X ) }.
% 28.02/28.42 parent0: (3119) {G1,W8,D3,L2,V1,M2} { distinct_lines( skol1, X ),
% 28.02/28.42 apart_point_and_line( intersection_point( skol3, skol2 ), X ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 1 ==> 1
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3120) {G1,W6,D2,L2,V0,M2} { ! convergent_lines( skol3, skol2
% 28.02/28.42 ), distinct_lines( skol1, skol3 ) }.
% 28.02/28.42 parent0[1]: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 28.02/28.42 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 28.02/28.42 parent1[1]: (105) {G1,W8,D3,L2,V1,M1} R(12,18) { distinct_lines( skol1, X )
% 28.02/28.42 , apart_point_and_line( intersection_point( skol3, skol2 ), X ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := skol3
% 28.02/28.42 Y := skol2
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 X := skol3
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3121) {G1,W3,D2,L1,V0,M1} { distinct_lines( skol1, skol3 )
% 28.02/28.42 }.
% 28.02/28.42 parent0[0]: (3120) {G1,W6,D2,L2,V0,M2} { ! convergent_lines( skol3, skol2
% 28.02/28.42 ), distinct_lines( skol1, skol3 ) }.
% 28.02/28.42 parent1[0]: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol2 )
% 28.02/28.42 }.
% 28.02/28.42 substitution0:
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (112) {G2,W3,D2,L1,V0,M1} R(105,8);r(15) { distinct_lines(
% 28.02/28.42 skol1, skol3 ) }.
% 28.02/28.42 parent0: (3121) {G1,W3,D2,L1,V0,M1} { distinct_lines( skol1, skol3 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3122) {G2,W3,D2,L1,V0,M1} { distinct_lines( skol3, skol1 )
% 28.02/28.42 }.
% 28.02/28.42 parent0[0]: (26) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 28.02/28.42 distinct_lines( X, Y ) }.
% 28.02/28.42 parent1[0]: (112) {G2,W3,D2,L1,V0,M1} R(105,8);r(15) { distinct_lines(
% 28.02/28.42 skol1, skol3 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := skol3
% 28.02/28.42 Y := skol1
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (114) {G3,W3,D2,L1,V0,M1} R(112,26) { distinct_lines( skol3,
% 28.02/28.42 skol1 ) }.
% 28.02/28.42 parent0: (3122) {G2,W3,D2,L1,V0,M1} { distinct_lines( skol3, skol1 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3123) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ), !
% 28.02/28.42 convergent_lines( Z, X ), convergent_lines( Z, Y ) }.
% 28.02/28.42 parent0[0]: (26) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 28.02/28.42 distinct_lines( X, Y ) }.
% 28.02/28.42 parent1[2]: (13) {G0,W9,D2,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 28.02/28.42 convergent_lines( X, Z ), distinct_lines( Y, Z ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := Y
% 28.02/28.42 Y := X
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 X := Z
% 28.02/28.42 Y := X
% 28.02/28.42 Z := Y
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (116) {G2,W9,D2,L3,V3,M1} R(13,26) { ! convergent_lines( X, Y
% 28.02/28.42 ), convergent_lines( X, Z ), distinct_lines( Z, Y ) }.
% 28.02/28.42 parent0: (3123) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ), !
% 28.02/28.42 convergent_lines( Z, X ), convergent_lines( Z, Y ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := Y
% 28.02/28.42 Y := Z
% 28.02/28.42 Z := X
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 2
% 28.02/28.42 1 ==> 0
% 28.02/28.42 2 ==> 1
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3124) {G1,W10,D3,L2,V1,M2} { ! convergent_lines( X, skol1 ),
% 28.02/28.42 distinct_points( intersection_point( skol3, skol2 ), intersection_point(
% 28.02/28.42 X, skol1 ) ) }.
% 28.02/28.42 parent0[1]: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 28.02/28.42 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 28.02/28.42 parent1[1]: (86) {G1,W8,D3,L2,V1,M1} R(11,18) { distinct_points(
% 28.02/28.42 intersection_point( skol3, skol2 ), X ), apart_point_and_line( X, skol1 )
% 28.02/28.42 }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 Y := skol1
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 X := intersection_point( X, skol1 )
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (153) {G2,W10,D3,L2,V1,M1} R(86,9) { ! convergent_lines( X,
% 28.02/28.42 skol1 ), distinct_points( intersection_point( skol3, skol2 ),
% 28.02/28.42 intersection_point( X, skol1 ) ) }.
% 28.02/28.42 parent0: (3124) {G1,W10,D3,L2,V1,M2} { ! convergent_lines( X, skol1 ),
% 28.02/28.42 distinct_points( intersection_point( skol3, skol2 ), intersection_point(
% 28.02/28.42 X, skol1 ) ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 1 ==> 1
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3125) {G3,W13,D3,L3,V2,M3} { distinct_points(
% 28.02/28.42 intersection_point( skol3, skol2 ), X ), distinct_points( X,
% 28.02/28.42 intersection_point( Y, skol1 ) ), ! convergent_lines( Y, skol1 ) }.
% 28.02/28.42 parent0[1]: (23) {G2,W9,D2,L3,V3,M3} R(21,3) { distinct_points( Z, X ), !
% 28.02/28.42 distinct_points( Z, Y ), distinct_points( X, Y ) }.
% 28.02/28.42 parent1[1]: (153) {G2,W10,D3,L2,V1,M1} R(86,9) { ! convergent_lines( X,
% 28.02/28.42 skol1 ), distinct_points( intersection_point( skol3, skol2 ),
% 28.02/28.42 intersection_point( X, skol1 ) ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 Y := intersection_point( Y, skol1 )
% 28.02/28.42 Z := intersection_point( skol3, skol2 )
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 X := Y
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (431) {G3,W13,D3,L3,V2,M2} R(153,23) { ! convergent_lines( X,
% 28.02/28.42 skol1 ), distinct_points( Y, intersection_point( X, skol1 ) ),
% 28.02/28.42 distinct_points( intersection_point( skol3, skol2 ), Y ) }.
% 28.02/28.42 parent0: (3125) {G3,W13,D3,L3,V2,M3} { distinct_points( intersection_point
% 28.02/28.42 ( skol3, skol2 ), X ), distinct_points( X, intersection_point( Y, skol1 )
% 28.02/28.42 ), ! convergent_lines( Y, skol1 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := Y
% 28.02/28.42 Y := X
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 2
% 28.02/28.42 1 ==> 1
% 28.02/28.42 2 ==> 0
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3126) {G1,W17,D3,L5,V1,M5} { ! distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol3, skol1 )
% 28.02/28.42 , ! convergent_lines( skol1, skol2 ), apart_point_and_line( X, skol3 ),
% 28.02/28.42 apart_point_and_line( X, skol1 ) }.
% 28.02/28.42 parent0[0]: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 28.02/28.42 intersection_point( skol1, skol2 ), skol3 ) }.
% 28.02/28.42 parent1[3]: (55) {G1,W22,D3,L6,V4,M3} R(10,8) { ! distinct_points(
% 28.02/28.42 intersection_point( X, Y ), Z ), ! distinct_lines( T, X ), !
% 28.02/28.42 convergent_lines( X, Y ), apart_point_and_line( intersection_point( X, Y
% 28.02/28.42 ), T ), apart_point_and_line( Z, T ), apart_point_and_line( Z, X ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 X := skol1
% 28.02/28.42 Y := skol2
% 28.02/28.42 Z := X
% 28.02/28.42 T := skol3
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3129) {G2,W14,D3,L4,V1,M4} { ! distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), X ), ! convergent_lines( skol1, skol2
% 28.02/28.42 ), apart_point_and_line( X, skol3 ), apart_point_and_line( X, skol1 )
% 28.02/28.42 }.
% 28.02/28.42 parent0[1]: (3126) {G1,W17,D3,L5,V1,M5} { ! distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol3, skol1 )
% 28.02/28.42 , ! convergent_lines( skol1, skol2 ), apart_point_and_line( X, skol3 ),
% 28.02/28.42 apart_point_and_line( X, skol1 ) }.
% 28.02/28.42 parent1[0]: (114) {G3,W3,D2,L1,V0,M1} R(112,26) { distinct_lines( skol3,
% 28.02/28.42 skol1 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (534) {G4,W14,D3,L4,V1,M1} R(55,17);r(114) { !
% 28.02/28.42 convergent_lines( skol1, skol2 ), ! distinct_points( intersection_point(
% 28.02/28.42 skol1, skol2 ), X ), apart_point_and_line( X, skol1 ),
% 28.02/28.42 apart_point_and_line( X, skol3 ) }.
% 28.02/28.42 parent0: (3129) {G2,W14,D3,L4,V1,M4} { ! distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), X ), ! convergent_lines( skol1, skol2
% 28.02/28.42 ), apart_point_and_line( X, skol3 ), apart_point_and_line( X, skol1 )
% 28.02/28.42 }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 1
% 28.02/28.42 1 ==> 0
% 28.02/28.42 2 ==> 3
% 28.02/28.42 3 ==> 2
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3131) {G1,W17,D3,L5,V1,M5} { ! distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol2, skol3 )
% 28.02/28.42 , ! convergent_lines( skol1, skol2 ), apart_point_and_line( X, skol3 ),
% 28.02/28.42 apart_point_and_line( X, skol2 ) }.
% 28.02/28.42 parent0[0]: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 28.02/28.42 intersection_point( skol1, skol2 ), skol3 ) }.
% 28.02/28.42 parent1[4]: (62) {G1,W22,D3,L6,V4,M3} R(10,9) { ! distinct_points(
% 28.02/28.42 intersection_point( X, Y ), Z ), ! distinct_lines( Y, T ), !
% 28.02/28.42 convergent_lines( X, Y ), apart_point_and_line( Z, T ),
% 28.02/28.42 apart_point_and_line( intersection_point( X, Y ), T ),
% 28.02/28.42 apart_point_and_line( Z, Y ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 X := skol1
% 28.02/28.42 Y := skol2
% 28.02/28.42 Z := X
% 28.02/28.42 T := skol3
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3133) {G1,W14,D3,L4,V1,M4} { ! distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol2, skol3 )
% 28.02/28.42 , apart_point_and_line( X, skol3 ), apart_point_and_line( X, skol2 ) }.
% 28.02/28.42 parent0[2]: (3131) {G1,W17,D3,L5,V1,M5} { ! distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol2, skol3 )
% 28.02/28.42 , ! convergent_lines( skol1, skol2 ), apart_point_and_line( X, skol3 ),
% 28.02/28.42 apart_point_and_line( X, skol2 ) }.
% 28.02/28.42 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 28.02/28.42 }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (805) {G2,W14,D3,L4,V1,M1} R(62,17);r(14) { ! distinct_points
% 28.02/28.42 ( intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol2, skol3
% 28.02/28.42 ), apart_point_and_line( X, skol2 ), apart_point_and_line( X, skol3 )
% 28.02/28.42 }.
% 28.02/28.42 parent0: (3133) {G1,W14,D3,L4,V1,M4} { ! distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol2, skol3 )
% 28.02/28.42 , apart_point_and_line( X, skol3 ), apart_point_and_line( X, skol2 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 1 ==> 1
% 28.02/28.42 2 ==> 3
% 28.02/28.42 3 ==> 2
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3135) {G1,W18,D3,L4,V1,M4} { ! convergent_lines( skol3, X ),
% 28.02/28.42 ! distinct_points( intersection_point( skol1, skol2 ), intersection_point
% 28.02/28.42 ( skol3, X ) ), ! distinct_lines( skol2, skol3 ), apart_point_and_line(
% 28.02/28.42 intersection_point( skol3, X ), skol2 ) }.
% 28.02/28.42 parent0[1]: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 28.02/28.42 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 28.02/28.42 parent1[3]: (805) {G2,W14,D3,L4,V1,M1} R(62,17);r(14) { ! distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol2, skol3 )
% 28.02/28.42 , apart_point_and_line( X, skol2 ), apart_point_and_line( X, skol3 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := skol3
% 28.02/28.42 Y := X
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 X := intersection_point( skol3, X )
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (1685) {G3,W18,D3,L4,V1,M1} R(805,8) { ! distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), intersection_point( skol3, X ) ), !
% 28.02/28.42 distinct_lines( skol2, skol3 ), ! convergent_lines( skol3, X ),
% 28.02/28.42 apart_point_and_line( intersection_point( skol3, X ), skol2 ) }.
% 28.02/28.42 parent0: (3135) {G1,W18,D3,L4,V1,M4} { ! convergent_lines( skol3, X ), !
% 28.02/28.42 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 28.02/28.42 skol3, X ) ), ! distinct_lines( skol2, skol3 ), apart_point_and_line(
% 28.02/28.42 intersection_point( skol3, X ), skol2 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 2
% 28.02/28.42 1 ==> 0
% 28.02/28.42 2 ==> 1
% 28.02/28.42 3 ==> 3
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3136) {G1,W11,D3,L3,V1,M3} { ! distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol1 )
% 28.02/28.42 , apart_point_and_line( X, skol3 ) }.
% 28.02/28.42 parent0[0]: (534) {G4,W14,D3,L4,V1,M1} R(55,17);r(114) { ! convergent_lines
% 28.02/28.42 ( skol1, skol2 ), ! distinct_points( intersection_point( skol1, skol2 ),
% 28.02/28.42 X ), apart_point_and_line( X, skol1 ), apart_point_and_line( X, skol3 )
% 28.02/28.42 }.
% 28.02/28.42 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 28.02/28.42 }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (1750) {G5,W11,D3,L3,V1,M1} S(534);r(14) { ! distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol1 )
% 28.02/28.42 , apart_point_and_line( X, skol3 ) }.
% 28.02/28.42 parent0: (3136) {G1,W11,D3,L3,V1,M3} { ! distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol1 )
% 28.02/28.42 , apart_point_and_line( X, skol3 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 1 ==> 1
% 28.02/28.42 2 ==> 2
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3138) {G1,W15,D3,L3,V1,M3} { ! convergent_lines( skol3, X ),
% 28.02/28.42 ! distinct_points( intersection_point( skol1, skol2 ), intersection_point
% 28.02/28.42 ( skol3, X ) ), apart_point_and_line( intersection_point( skol3, X ),
% 28.02/28.42 skol1 ) }.
% 28.02/28.42 parent0[1]: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 28.02/28.42 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 28.02/28.42 parent1[2]: (1750) {G5,W11,D3,L3,V1,M1} S(534);r(14) { ! distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol1 )
% 28.02/28.42 , apart_point_and_line( X, skol3 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := skol3
% 28.02/28.42 Y := X
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 X := intersection_point( skol3, X )
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (1779) {G6,W15,D3,L3,V1,M1} R(1750,8) { ! distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), intersection_point( skol3, X ) ), !
% 28.02/28.42 convergent_lines( skol3, X ), apart_point_and_line( intersection_point(
% 28.02/28.42 skol3, X ), skol1 ) }.
% 28.02/28.42 parent0: (3138) {G1,W15,D3,L3,V1,M3} { ! convergent_lines( skol3, X ), !
% 28.02/28.42 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 28.02/28.42 skol3, X ) ), apart_point_and_line( intersection_point( skol3, X ), skol1
% 28.02/28.42 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 1
% 28.02/28.42 1 ==> 0
% 28.02/28.42 2 ==> 2
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3139) {G1,W13,D3,L3,V0,M3} { ! convergent_lines( skol3, skol1
% 28.02/28.42 ), ! distinct_points( intersection_point( skol1, skol2 ),
% 28.02/28.42 intersection_point( skol3, skol1 ) ), ! convergent_lines( skol3, skol1 )
% 28.02/28.42 }.
% 28.02/28.42 parent0[1]: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 28.02/28.42 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 28.02/28.42 parent1[2]: (1779) {G6,W15,D3,L3,V1,M1} R(1750,8) { ! distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), intersection_point( skol3, X ) ), !
% 28.02/28.42 convergent_lines( skol3, X ), apart_point_and_line( intersection_point(
% 28.02/28.42 skol3, X ), skol1 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := skol3
% 28.02/28.42 Y := skol1
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 X := skol1
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 factor: (3140) {G1,W10,D3,L2,V0,M2} { ! convergent_lines( skol3, skol1 ),
% 28.02/28.42 ! distinct_points( intersection_point( skol1, skol2 ), intersection_point
% 28.02/28.42 ( skol3, skol1 ) ) }.
% 28.02/28.42 parent0[0, 2]: (3139) {G1,W13,D3,L3,V0,M3} { ! convergent_lines( skol3,
% 28.02/28.42 skol1 ), ! distinct_points( intersection_point( skol1, skol2 ),
% 28.02/28.42 intersection_point( skol3, skol1 ) ), ! convergent_lines( skol3, skol1 )
% 28.02/28.42 }.
% 28.02/28.42 substitution0:
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3142) {G2,W7,D3,L1,V0,M1} { ! distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), intersection_point( skol3, skol1 ) )
% 28.02/28.42 }.
% 28.02/28.42 parent0[0]: (3140) {G1,W10,D3,L2,V0,M2} { ! convergent_lines( skol3, skol1
% 28.02/28.42 ), ! distinct_points( intersection_point( skol1, skol2 ),
% 28.02/28.42 intersection_point( skol3, skol1 ) ) }.
% 28.02/28.42 parent1[0]: (39) {G2,W3,D2,L1,V0,M1} R(34,16) { convergent_lines( skol3,
% 28.02/28.42 skol1 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (1805) {G7,W7,D3,L1,V0,M1} R(1779,9);f;r(39) { !
% 28.02/28.42 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 28.02/28.42 skol3, skol1 ) ) }.
% 28.02/28.42 parent0: (3142) {G2,W7,D3,L1,V0,M1} { ! distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), intersection_point( skol3, skol1 ) )
% 28.02/28.42 }.
% 28.02/28.42 substitution0:
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3143) {G4,W10,D3,L2,V0,M2} { ! convergent_lines( skol3, skol1
% 28.02/28.42 ), distinct_points( intersection_point( skol3, skol2 ),
% 28.02/28.42 intersection_point( skol1, skol2 ) ) }.
% 28.02/28.42 parent0[0]: (1805) {G7,W7,D3,L1,V0,M1} R(1779,9);f;r(39) { !
% 28.02/28.42 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 28.02/28.42 skol3, skol1 ) ) }.
% 28.02/28.42 parent1[1]: (431) {G3,W13,D3,L3,V2,M2} R(153,23) { ! convergent_lines( X,
% 28.02/28.42 skol1 ), distinct_points( Y, intersection_point( X, skol1 ) ),
% 28.02/28.42 distinct_points( intersection_point( skol3, skol2 ), Y ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 X := skol3
% 28.02/28.42 Y := intersection_point( skol1, skol2 )
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3144) {G3,W7,D3,L1,V0,M1} { distinct_points(
% 28.02/28.42 intersection_point( skol3, skol2 ), intersection_point( skol1, skol2 ) )
% 28.02/28.42 }.
% 28.02/28.42 parent0[0]: (3143) {G4,W10,D3,L2,V0,M2} { ! convergent_lines( skol3, skol1
% 28.02/28.42 ), distinct_points( intersection_point( skol3, skol2 ),
% 28.02/28.42 intersection_point( skol1, skol2 ) ) }.
% 28.02/28.42 parent1[0]: (39) {G2,W3,D2,L1,V0,M1} R(34,16) { convergent_lines( skol3,
% 28.02/28.42 skol1 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (1844) {G8,W7,D3,L1,V0,M1} R(1805,431);r(39) { distinct_points
% 28.02/28.42 ( intersection_point( skol3, skol2 ), intersection_point( skol1, skol2 )
% 28.02/28.42 ) }.
% 28.02/28.42 parent0: (3144) {G3,W7,D3,L1,V0,M1} { distinct_points( intersection_point
% 28.02/28.42 ( skol3, skol2 ), intersection_point( skol1, skol2 ) ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3145) {G2,W7,D3,L1,V0,M1} { distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), intersection_point( skol3, skol2 ) )
% 28.02/28.42 }.
% 28.02/28.42 parent0[0]: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 28.02/28.42 distinct_points( X, Y ) }.
% 28.02/28.42 parent1[0]: (1844) {G8,W7,D3,L1,V0,M1} R(1805,431);r(39) { distinct_points
% 28.02/28.42 ( intersection_point( skol3, skol2 ), intersection_point( skol1, skol2 )
% 28.02/28.42 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := intersection_point( skol1, skol2 )
% 28.02/28.42 Y := intersection_point( skol3, skol2 )
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (1961) {G9,W7,D3,L1,V0,M1} R(1844,21) { distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), intersection_point( skol3, skol2 ) )
% 28.02/28.42 }.
% 28.02/28.42 parent0: (3145) {G2,W7,D3,L1,V0,M1} { distinct_points( intersection_point
% 28.02/28.42 ( skol1, skol2 ), intersection_point( skol3, skol2 ) ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3146) {G1,W16,D3,L4,V0,M4} { ! convergent_lines( skol3, skol2
% 28.02/28.42 ), ! distinct_points( intersection_point( skol1, skol2 ),
% 28.02/28.42 intersection_point( skol3, skol2 ) ), ! distinct_lines( skol2, skol3 ), !
% 28.02/28.42 convergent_lines( skol3, skol2 ) }.
% 28.02/28.42 parent0[1]: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 28.02/28.42 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 28.02/28.42 parent1[3]: (1685) {G3,W18,D3,L4,V1,M1} R(805,8) { ! distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), intersection_point( skol3, X ) ), !
% 28.02/28.42 distinct_lines( skol2, skol3 ), ! convergent_lines( skol3, X ),
% 28.02/28.42 apart_point_and_line( intersection_point( skol3, X ), skol2 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := skol3
% 28.02/28.42 Y := skol2
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 X := skol2
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3148) {G2,W9,D2,L3,V0,M3} { ! convergent_lines( skol3, skol2
% 28.02/28.42 ), ! distinct_lines( skol2, skol3 ), ! convergent_lines( skol3, skol2 )
% 28.02/28.42 }.
% 28.02/28.42 parent0[1]: (3146) {G1,W16,D3,L4,V0,M4} { ! convergent_lines( skol3, skol2
% 28.02/28.42 ), ! distinct_points( intersection_point( skol1, skol2 ),
% 28.02/28.42 intersection_point( skol3, skol2 ) ), ! distinct_lines( skol2, skol3 ), !
% 28.02/28.42 convergent_lines( skol3, skol2 ) }.
% 28.02/28.42 parent1[0]: (1961) {G9,W7,D3,L1,V0,M1} R(1844,21) { distinct_points(
% 28.02/28.42 intersection_point( skol1, skol2 ), intersection_point( skol3, skol2 ) )
% 28.02/28.42 }.
% 28.02/28.42 substitution0:
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 factor: (3149) {G2,W6,D2,L2,V0,M2} { ! convergent_lines( skol3, skol2 ), !
% 28.02/28.42 distinct_lines( skol2, skol3 ) }.
% 28.02/28.42 parent0[0, 2]: (3148) {G2,W9,D2,L3,V0,M3} { ! convergent_lines( skol3,
% 28.02/28.42 skol2 ), ! distinct_lines( skol2, skol3 ), ! convergent_lines( skol3,
% 28.02/28.42 skol2 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (2563) {G10,W6,D2,L2,V0,M1} R(1685,9);f;r(1961) { !
% 28.02/28.42 convergent_lines( skol3, skol2 ), ! distinct_lines( skol2, skol3 ) }.
% 28.02/28.42 parent0: (3149) {G2,W6,D2,L2,V0,M2} { ! convergent_lines( skol3, skol2 ),
% 28.02/28.42 ! distinct_lines( skol2, skol3 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 1 ==> 1
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3150) {G1,W3,D2,L1,V0,M1} { ! distinct_lines( skol2, skol3 )
% 28.02/28.42 }.
% 28.02/28.42 parent0[0]: (2563) {G10,W6,D2,L2,V0,M1} R(1685,9);f;r(1961) { !
% 28.02/28.42 convergent_lines( skol3, skol2 ), ! distinct_lines( skol2, skol3 ) }.
% 28.02/28.42 parent1[0]: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol2 )
% 28.02/28.42 }.
% 28.02/28.42 substitution0:
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (2564) {G11,W3,D2,L1,V0,M1} S(2563);r(15) { ! distinct_lines(
% 28.02/28.42 skol2, skol3 ) }.
% 28.02/28.42 parent0: (3150) {G1,W3,D2,L1,V0,M1} { ! distinct_lines( skol2, skol3 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3151) {G3,W6,D2,L2,V1,M2} { ! convergent_lines( X, skol3 ),
% 28.02/28.42 convergent_lines( X, skol2 ) }.
% 28.02/28.42 parent0[0]: (2564) {G11,W3,D2,L1,V0,M1} S(2563);r(15) { ! distinct_lines(
% 28.02/28.42 skol2, skol3 ) }.
% 28.02/28.42 parent1[2]: (116) {G2,W9,D2,L3,V3,M1} R(13,26) { ! convergent_lines( X, Y )
% 28.02/28.42 , convergent_lines( X, Z ), distinct_lines( Z, Y ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 X := X
% 28.02/28.42 Y := skol3
% 28.02/28.42 Z := skol2
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3152) {G4,W6,D2,L2,V1,M2} { convergent_lines( X, skol2 ),
% 28.02/28.42 convergent_lines( X, skol2 ) }.
% 28.02/28.42 parent0[0]: (3151) {G3,W6,D2,L2,V1,M2} { ! convergent_lines( X, skol3 ),
% 28.02/28.42 convergent_lines( X, skol2 ) }.
% 28.02/28.42 parent1[1]: (71) {G3,W6,D2,L2,V1,M1} R(69,34) { convergent_lines( X, skol2
% 28.02/28.42 ), convergent_lines( X, skol3 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 X := X
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 factor: (3153) {G4,W3,D2,L1,V1,M1} { convergent_lines( X, skol2 ) }.
% 28.02/28.42 parent0[0, 1]: (3152) {G4,W6,D2,L2,V1,M2} { convergent_lines( X, skol2 ),
% 28.02/28.42 convergent_lines( X, skol2 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (2931) {G12,W3,D2,L1,V1,M1} R(2564,116);r(71) {
% 28.02/28.42 convergent_lines( X, skol2 ) }.
% 28.02/28.42 parent0: (3153) {G4,W3,D2,L1,V1,M1} { convergent_lines( X, skol2 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := X
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 0 ==> 0
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 resolution: (3154) {G1,W0,D0,L0,V0,M0} { }.
% 28.02/28.42 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 28.02/28.42 parent1[0]: (2931) {G12,W3,D2,L1,V1,M1} R(2564,116);r(71) {
% 28.02/28.42 convergent_lines( X, skol2 ) }.
% 28.02/28.42 substitution0:
% 28.02/28.42 X := skol2
% 28.02/28.42 end
% 28.02/28.42 substitution1:
% 28.02/28.42 X := skol2
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 subsumption: (2971) {G13,W0,D0,L0,V0,M0} R(2931,2) { }.
% 28.02/28.42 parent0: (3154) {G1,W0,D0,L0,V0,M0} { }.
% 28.02/28.42 substitution0:
% 28.02/28.42 end
% 28.02/28.42 permutation0:
% 28.02/28.42 end
% 28.02/28.42
% 28.02/28.42 Proof check complete!
% 28.02/28.42
% 28.02/28.42 Memory use:
% 28.02/28.42
% 28.02/28.42 space for terms: 48377
% 28.02/28.42 space for clauses: 105647
% 28.02/28.42
% 28.02/28.42
% 28.02/28.42 clauses generated: 1079608
% 28.02/28.42 clauses kept: 2972
% 28.02/28.42 clauses selected: 2428
% 28.02/28.42 clauses deleted: 11
% 28.02/28.42 clauses inuse deleted: 0
% 28.02/28.42
% 28.02/28.42 subsentry: 4082215
% 28.02/28.42 literals s-matched: 1461372
% 28.02/28.42 literals matched: 1461306
% 28.02/28.42 full subsumption: 1276630
% 28.02/28.42
% 28.02/28.42 checksum: 1073755812
% 28.02/28.42
% 28.02/28.42
% 28.02/28.42 Bliksem ended
%------------------------------------------------------------------------------