%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO193+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 02:52:32 EDT 2022
% Result : Theorem 27.05s 27.49s
% Output : Refutation 27.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO193+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Fri Jun 17 19:31:49 EDT 2022
% 0.14/0.35 % CPUTime :
% 27.05/27.49 *** allocated 10000 integers for termspace/termends
% 27.05/27.49 *** allocated 10000 integers for clauses
% 27.05/27.49 *** allocated 10000 integers for justifications
% 27.05/27.49 Bliksem 1.12
% 27.05/27.49
% 27.05/27.49
% 27.05/27.49 Automatic Strategy Selection
% 27.05/27.49
% 27.05/27.49
% 27.05/27.49 Clauses:
% 27.05/27.49
% 27.05/27.49 { ! distinct_points( X, X ) }.
% 27.05/27.49 { ! distinct_lines( X, X ) }.
% 27.05/27.49 { ! convergent_lines( X, X ) }.
% 27.05/27.49 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 27.05/27.49 ) }.
% 27.05/27.49 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 27.05/27.49 }.
% 27.05/27.49 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 27.05/27.49 , Z ) }.
% 27.05/27.49 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 27.05/27.49 , Y ) ) }.
% 27.05/27.49 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 27.05/27.49 , Y ) ) }.
% 27.05/27.49 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 27.05/27.49 , Y ), X ) }.
% 27.05/27.49 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 27.05/27.49 , Y ), Y ) }.
% 27.05/27.49 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 27.05/27.49 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 27.05/27.49 apart_point_and_line( Y, T ) }.
% 27.05/27.49 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 27.05/27.49 apart_point_and_line( Z, Y ) }.
% 27.05/27.49 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 27.05/27.49 apart_point_and_line( X, Z ) }.
% 27.05/27.49 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 27.05/27.49 Z ) }.
% 27.05/27.49 { convergent_lines( skol1, skol2 ) }.
% 27.05/27.49 { convergent_lines( skol3, skol2 ) }.
% 27.05/27.49 { convergent_lines( skol1, skol3 ) }.
% 27.05/27.49 { apart_point_and_line( intersection_point( skol1, skol2 ), skol3 ) }.
% 27.05/27.49 { ! apart_point_and_line( intersection_point( skol3, skol2 ), skol1 ) }.
% 27.05/27.49
% 27.05/27.49 percentage equality = 0.000000, percentage horn = 0.631579
% 27.05/27.49 This a non-horn, non-equality problem
% 27.05/27.49
% 27.05/27.49
% 27.05/27.49 Options Used:
% 27.05/27.49
% 27.05/27.49 useres = 1
% 27.05/27.49 useparamod = 0
% 27.05/27.49 useeqrefl = 0
% 27.05/27.49 useeqfact = 0
% 27.05/27.49 usefactor = 1
% 27.05/27.49 usesimpsplitting = 0
% 27.05/27.49 usesimpdemod = 0
% 27.05/27.49 usesimpres = 3
% 27.05/27.49
% 27.05/27.49 resimpinuse = 1000
% 27.05/27.49 resimpclauses = 20000
% 27.05/27.49 substype = standard
% 27.05/27.49 backwardsubs = 1
% 27.05/27.49 selectoldest = 5
% 27.05/27.49
% 27.05/27.49 litorderings [0] = split
% 27.05/27.49 litorderings [1] = liftord
% 27.05/27.49
% 27.05/27.49 termordering = none
% 27.05/27.49
% 27.05/27.49 litapriori = 1
% 27.05/27.49 termapriori = 0
% 27.05/27.49 litaposteriori = 0
% 27.05/27.49 termaposteriori = 0
% 27.05/27.49 demodaposteriori = 0
% 27.05/27.49 ordereqreflfact = 0
% 27.05/27.49
% 27.05/27.49 litselect = none
% 27.05/27.49
% 27.05/27.49 maxweight = 15
% 27.05/27.49 maxdepth = 30000
% 27.05/27.49 maxlength = 115
% 27.05/27.49 maxnrvars = 195
% 27.05/27.49 excuselevel = 1
% 27.05/27.49 increasemaxweight = 1
% 27.05/27.49
% 27.05/27.49 maxselected = 10000000
% 27.05/27.49 maxnrclauses = 10000000
% 27.05/27.49
% 27.05/27.49 showgenerated = 0
% 27.05/27.49 showkept = 0
% 27.05/27.49 showselected = 0
% 27.05/27.49 showdeleted = 0
% 27.05/27.49 showresimp = 1
% 27.05/27.49 showstatus = 2000
% 27.05/27.49
% 27.05/27.49 prologoutput = 0
% 27.05/27.49 nrgoals = 5000000
% 27.05/27.49 totalproof = 1
% 27.05/27.49
% 27.05/27.49 Symbols occurring in the translation:
% 27.05/27.49
% 27.05/27.49 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 27.05/27.49 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 27.05/27.49 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 27.05/27.49 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 27.05/27.49 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 27.05/27.49 distinct_points [36, 2] (w:1, o:44, a:1, s:1, b:0),
% 27.05/27.49 distinct_lines [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 27.05/27.49 convergent_lines [38, 2] (w:1, o:43, a:1, s:1, b:0),
% 27.05/27.49 line_connecting [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 27.05/27.49 apart_point_and_line [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 27.05/27.49 intersection_point [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 27.05/27.49 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 27.05/27.49 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 27.05/27.49 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0).
% 27.05/27.49
% 27.05/27.49
% 27.05/27.49 Starting Search:
% 27.05/27.49
% 27.05/27.49 *** allocated 15000 integers for clauses
% 27.05/27.49 *** allocated 22500 integers for clauses
% 27.05/27.49 *** allocated 33750 integers for clauses
% 27.05/27.49 *** allocated 15000 integers for termspace/termends
% 27.05/27.49 Resimplifying inuse:
% 27.05/27.49 Done
% 27.05/27.49
% 27.05/27.49 Failed to find proof!
% 27.05/27.49 maxweight = 15
% 27.05/27.49 maxnrclauses = 10000000
% 27.05/27.49 Generated: 120688
% 27.05/27.49 Kept: 875
% 27.05/27.49
% 27.05/27.49
% 27.05/27.49 The strategy used was not complete!
% 27.05/27.49
% 27.05/27.49 Increased maxweight to 16
% 27.05/27.49
% 27.05/27.49 Starting Search:
% 27.05/27.49
% 27.05/27.49 *** allocated 50625 integers for clauses
% 27.05/27.49 Resimplifying inuse:
% 27.05/27.49 Done
% 27.05/27.49
% 27.05/27.49 *** allocated 22500 integers for termspace/termends
% 27.05/27.49 Resimplifying inuse:
% 27.05/27.49 Done
% 27.05/27.49
% 27.05/27.49 Failed to find proof!
% 27.05/27.49 maxweight = 16
% 27.05/27.49 maxnrclauses = 10000000
% 27.05/27.49 Generated: 397174
% 27.05/27.49 Kept: 1239
% 27.05/27.49
% 27.05/27.49
% 27.05/27.49 The strategy used was not complete!
% 27.05/27.49
% 27.05/27.49 Increased maxweight to 17
% 27.05/27.49
% 27.05/27.49 Starting Search:
% 27.05/27.49
% 27.05/27.49 Resimplifying inuse:
% 27.05/27.49 Done
% 27.05/27.49
% 27.05/27.49 *** allocated 75937 integers for clauses
% 27.05/27.49 *** allocated 33750 integers for termspace/termends
% 27.05/27.49 Resimplifying inuse:
% 27.05/27.49 Done
% 27.05/27.49
% 27.05/27.49 Failed to find proof!
% 27.05/27.49 maxweight = 17
% 27.05/27.49 maxnrclauses = 10000000
% 27.05/27.49 Generated: 559818
% 27.05/27.49 Kept: 1667
% 27.05/27.49
% 27.05/27.49
% 27.05/27.49 The strategy used was not complete!
% 27.05/27.49
% 27.05/27.49 Increased maxweight to 18
% 27.05/27.49
% 27.05/27.49 Starting Search:
% 27.05/27.49
% 27.05/27.49 Resimplifying inuse:
% 27.05/27.49 Done
% 27.05/27.49
% 27.05/27.49 *** allocated 50625 integers for termspace/termends
% 27.05/27.49
% 27.05/27.49 Intermediate Status:
% 27.05/27.49 Generated: 123129
% 27.05/27.49 Kept: 2087
% 27.05/27.49 Inuse: 811
% 27.05/27.49 Deleted: 2
% 27.05/27.49 Deletedinuse: 0
% 27.05/27.49
% 27.05/27.49 Resimplifying inuse:
% 27.05/27.49 Done
% 27.05/27.49
% 27.05/27.49 *** allocated 113905 integers for clauses
% 27.05/27.49 *** allocated 75937 integers for termspace/termends
% 27.05/27.49 Resimplifying inuse:
% 27.05/27.49 Done
% 27.05/27.49
% 27.05/27.49
% 27.05/27.49 Bliksems!, er is een bewijs:
% 27.05/27.49 % SZS status Theorem
% 27.05/27.49 % SZS output start Refutation
% 27.05/27.49
% 27.05/27.49 (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 27.05/27.49 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 27.05/27.49 (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 27.05/27.49 (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 27.05/27.49 ), ! distinct_points( X, Y ) }.
% 27.05/27.49 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 27.05/27.49 , ! distinct_lines( X, Y ) }.
% 27.05/27.49 (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), convergent_lines( Y,
% 27.05/27.49 Z ), ! convergent_lines( X, Y ) }.
% 27.05/27.49 (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 27.05/27.49 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 27.05/27.49 (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 27.05/27.49 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 27.05/27.49 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 27.05/27.49 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 27.05/27.49 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 27.05/27.49 (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 27.05/27.49 ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 27.05/27.49 (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ), apart_point_and_line(
% 27.05/27.49 X, Z ), ! apart_point_and_line( X, Y ) }.
% 27.05/27.49 (13) {G0,W9,D2,L3,V3,M1} I { ! convergent_lines( X, Y ), convergent_lines(
% 27.05/27.49 X, Z ), distinct_lines( Y, Z ) }.
% 27.05/27.49 (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 ) }.
% 27.05/27.49 (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol2 ) }.
% 27.05/27.49 (16) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol3 ) }.
% 27.05/27.49 (17) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( intersection_point(
% 27.05/27.49 skol1, skol2 ), skol3 ) }.
% 27.05/27.49 (18) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( intersection_point(
% 27.05/27.49 skol3, skol2 ), skol1 ) }.
% 27.05/27.49 (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 27.05/27.49 distinct_points( X, Y ) }.
% 27.05/27.49 (22) {G2,W9,D2,L3,V3,M3} R(21,3) { distinct_points( Z, X ), !
% 27.05/27.49 distinct_points( Y, Z ), distinct_points( X, Y ) }.
% 27.05/27.49 (26) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 27.05/27.49 ( X, Y ) }.
% 27.05/27.49 (31) {G1,W6,D2,L2,V1,M1} R(5,14) { convergent_lines( skol1, X ),
% 27.05/27.49 convergent_lines( skol2, X ) }.
% 27.05/27.49 (34) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 27.05/27.49 convergent_lines( X, Y ) }.
% 27.05/27.49 (39) {G2,W3,D2,L1,V0,M1} R(34,16) { convergent_lines( skol3, skol1 ) }.
% 27.05/27.49 (40) {G2,W6,D2,L2,V1,M2} R(31,34) { convergent_lines( X, skol2 ),
% 27.05/27.49 convergent_lines( skol1, X ) }.
% 27.05/27.49 (42) {G3,W6,D2,L2,V1,M1} R(40,34) { convergent_lines( X, skol1 ),
% 27.05/27.49 convergent_lines( X, skol2 ) }.
% 27.05/27.49 (55) {G1,W22,D3,L6,V4,M3} R(10,8) { ! distinct_points( intersection_point(
% 27.05/27.49 X, Y ), Z ), ! distinct_lines( T, X ), ! convergent_lines( X, Y ),
% 27.05/27.49 apart_point_and_line( intersection_point( X, Y ), T ),
% 27.05/27.49 apart_point_and_line( Z, T ), apart_point_and_line( Z, X ) }.
% 27.05/27.49 (62) {G1,W22,D3,L6,V4,M3} R(10,9) { ! distinct_points( intersection_point(
% 27.05/27.49 X, Y ), Z ), ! distinct_lines( Y, T ), ! convergent_lines( X, Y ),
% 27.05/27.49 apart_point_and_line( Z, T ), apart_point_and_line( intersection_point( X
% 27.05/27.49 , Y ), T ), apart_point_and_line( Z, Y ) }.
% 27.05/27.49 (85) {G1,W8,D3,L2,V1,M1} R(11,17) { distinct_points( intersection_point(
% 27.05/27.49 skol1, skol2 ), X ), apart_point_and_line( X, skol3 ) }.
% 27.05/27.49 (104) {G1,W8,D3,L2,V1,M1} R(12,17) { distinct_lines( skol3, X ),
% 27.05/27.49 apart_point_and_line( intersection_point( skol1, skol2 ), X ) }.
% 27.05/27.49 (110) {G2,W3,D2,L1,V0,M1} R(104,8);r(14) { distinct_lines( skol3, skol1 )
% 27.05/27.49 }.
% 27.05/27.49 (112) {G3,W3,D2,L1,V0,M1} R(110,26) { distinct_lines( skol1, skol3 ) }.
% 27.05/27.49 (116) {G2,W9,D2,L3,V3,M1} R(13,26) { ! convergent_lines( X, Y ),
% 27.05/27.49 convergent_lines( X, Z ), distinct_lines( Z, Y ) }.
% 27.05/27.49 (151) {G2,W10,D3,L2,V1,M1} R(85,8) { ! convergent_lines( skol3, X ),
% 27.05/27.49 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 27.05/27.49 skol3, X ) ) }.
% 27.05/27.49 (161) {G3,W9,D2,L3,V3,M3} R(22,21) { distinct_points( Z, X ),
% 27.05/27.49 distinct_points( Z, Y ), ! distinct_points( X, Y ) }.
% 27.05/27.49 (425) {G4,W13,D3,L3,V2,M2} R(151,161) { ! convergent_lines( skol3, X ),
% 27.05/27.49 distinct_points( Y, intersection_point( skol3, X ) ), distinct_points( Y
% 27.05/27.49 , intersection_point( skol1, skol2 ) ) }.
% 27.05/27.49 (530) {G4,W14,D3,L4,V1,M1} R(55,18);r(112) { ! convergent_lines( skol3,
% 27.05/27.49 skol2 ), ! distinct_points( intersection_point( skol3, skol2 ), X ),
% 27.05/27.49 apart_point_and_line( X, skol1 ), apart_point_and_line( X, skol3 ) }.
% 27.05/27.49 (805) {G2,W14,D3,L4,V1,M1} R(62,18);r(15) { ! distinct_points(
% 27.05/27.49 intersection_point( skol3, skol2 ), X ), ! distinct_lines( skol2, skol1 )
% 27.05/27.49 , apart_point_and_line( X, skol1 ), apart_point_and_line( X, skol2 ) }.
% 27.05/27.49 (1686) {G3,W18,D3,L4,V1,M1} R(805,9) { ! distinct_points(
% 27.05/27.49 intersection_point( skol3, skol2 ), intersection_point( X, skol2 ) ), !
% 27.05/27.49 distinct_lines( skol2, skol1 ), ! convergent_lines( X, skol2 ),
% 27.05/27.49 apart_point_and_line( intersection_point( X, skol2 ), skol1 ) }.
% 27.05/27.49 (1750) {G5,W11,D3,L3,V1,M1} S(530);r(15) { ! distinct_points(
% 27.05/27.49 intersection_point( skol3, skol2 ), X ), apart_point_and_line( X, skol1 )
% 27.05/27.49 , apart_point_and_line( X, skol3 ) }.
% 27.05/27.49 (1779) {G6,W15,D3,L3,V1,M1} R(1750,8) { ! distinct_points(
% 27.05/27.49 intersection_point( skol3, skol2 ), intersection_point( skol3, X ) ), !
% 27.05/27.49 convergent_lines( skol3, X ), apart_point_and_line( intersection_point(
% 27.05/27.49 skol3, X ), skol1 ) }.
% 27.05/27.49 (1805) {G7,W7,D3,L1,V0,M1} R(1779,9);f;r(39) { ! distinct_points(
% 27.05/27.49 intersection_point( skol3, skol2 ), intersection_point( skol3, skol1 ) )
% 27.05/27.49 }.
% 27.05/27.49 (1840) {G8,W7,D3,L1,V0,M1} R(1805,425);r(39) { distinct_points(
% 27.05/27.49 intersection_point( skol3, skol2 ), intersection_point( skol1, skol2 ) )
% 27.05/27.49 }.
% 27.05/27.49 (2756) {G9,W6,D2,L2,V0,M1} R(1686,8);f;r(1840) { ! convergent_lines( skol1
% 27.05/27.49 , skol2 ), ! distinct_lines( skol2, skol1 ) }.
% 27.05/27.49 (2757) {G10,W3,D2,L1,V0,M1} S(2756);r(14) { ! distinct_lines( skol2, skol1
% 27.05/27.49 ) }.
% 27.05/27.49 (3136) {G11,W3,D2,L1,V1,M1} R(2757,116);r(42) { convergent_lines( X, skol2
% 27.05/27.49 ) }.
% 27.05/27.49 (3181) {G12,W0,D0,L0,V0,M0} R(3136,2) { }.
% 27.05/27.49
% 27.05/27.49
% 27.05/27.49 % SZS output end Refutation
% 27.05/27.49 found a proof!
% 27.05/27.49
% 27.05/27.49
% 27.05/27.49 Unprocessed initial clauses:
% 27.05/27.49
% 27.05/27.49 (3183) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 27.05/27.49 (3184) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 27.05/27.49 (3185) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 27.05/27.49 (3186) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 27.05/27.49 , Z ), distinct_points( Y, Z ) }.
% 27.05/27.49 (3187) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 27.05/27.49 Z ), distinct_lines( Y, Z ) }.
% 27.05/27.49 (3188) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 27.05/27.49 ( X, Z ), convergent_lines( Y, Z ) }.
% 27.05/27.49 (3189) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 27.05/27.49 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 27.05/27.49 (3190) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 27.05/27.49 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 27.05/27.49 (3191) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 27.05/27.49 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 27.05/27.49 (3192) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 27.05/27.49 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 27.05/27.49 (3193) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 27.05/27.49 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 27.05/27.49 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 27.05/27.49 (3194) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 27.05/27.49 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 27.05/27.49 (3195) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 27.05/27.49 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 27.05/27.49 (3196) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines( Y
% 27.05/27.49 , Z ), convergent_lines( X, Z ) }.
% 27.05/27.49 (3197) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 27.05/27.49 (3198) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol2 ) }.
% 27.05/27.49 (3199) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol3 ) }.
% 27.05/27.49 (3200) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( intersection_point(
% 27.05/27.49 skol1, skol2 ), skol3 ) }.
% 27.05/27.49 (3201) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( intersection_point(
% 27.05/27.49 skol3, skol2 ), skol1 ) }.
% 27.05/27.49
% 27.05/27.49
% 27.05/27.49 Total Proof:
% 27.05/27.49
% 27.05/27.49 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 27.05/27.49 parent0: (3183) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 27.05/27.49 parent0: (3184) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 27.05/27.49 parent0: (3185) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 27.05/27.49 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 27.05/27.49 parent0: (3186) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ),
% 27.05/27.49 distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 Y := Y
% 27.05/27.49 Z := Z
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 2
% 27.05/27.49 1 ==> 0
% 27.05/27.49 2 ==> 1
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 27.05/27.49 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 27.05/27.49 parent0: (3187) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 27.05/27.49 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 Y := Y
% 27.05/27.49 Z := Z
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 2
% 27.05/27.49 1 ==> 0
% 27.05/27.49 2 ==> 1
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 27.05/27.49 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 27.05/27.49 parent0: (3188) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 27.05/27.49 convergent_lines( X, Z ), convergent_lines( Y, Z ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 Y := Y
% 27.05/27.49 Z := Z
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 2
% 27.05/27.49 1 ==> 0
% 27.05/27.49 2 ==> 1
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 27.05/27.49 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 27.05/27.49 parent0: (3191) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 27.05/27.49 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 Y := Y
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 1 ==> 1
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 27.05/27.49 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 27.05/27.49 parent0: (3192) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 27.05/27.49 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 Y := Y
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 1 ==> 1
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 27.05/27.49 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 27.05/27.49 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 27.05/27.49 apart_point_and_line( X, Z ) }.
% 27.05/27.49 parent0: (3193) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 27.05/27.49 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 27.05/27.49 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 27.05/27.49 apart_point_and_line( Y, T ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 Y := Y
% 27.05/27.49 Z := Z
% 27.05/27.49 T := T
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 1 ==> 1
% 27.05/27.49 2 ==> 5
% 27.05/27.49 3 ==> 2
% 27.05/27.49 4 ==> 3
% 27.05/27.49 5 ==> 4
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 *** allocated 170857 integers for clauses
% 27.05/27.49 subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 27.05/27.49 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 27.05/27.49 parent0: (3194) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 27.05/27.49 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 Y := Y
% 27.05/27.49 Z := Z
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 2
% 27.05/27.49 1 ==> 0
% 27.05/27.49 2 ==> 1
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 27.05/27.49 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 27.05/27.49 parent0: (3195) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 27.05/27.49 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 Y := Y
% 27.05/27.49 Z := Z
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 2
% 27.05/27.49 1 ==> 0
% 27.05/27.49 2 ==> 1
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (13) {G0,W9,D2,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 27.05/27.49 convergent_lines( X, Z ), distinct_lines( Y, Z ) }.
% 27.05/27.49 parent0: (3196) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 27.05/27.49 distinct_lines( Y, Z ), convergent_lines( X, Z ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 Y := Y
% 27.05/27.49 Z := Z
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 1 ==> 2
% 27.05/27.49 2 ==> 1
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 27.05/27.49 }.
% 27.05/27.49 parent0: (3197) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol2 )
% 27.05/27.49 }.
% 27.05/27.49 parent0: (3198) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol2 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (16) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol3 )
% 27.05/27.49 }.
% 27.05/27.49 parent0: (3199) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol3 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (17) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line(
% 27.05/27.49 intersection_point( skol1, skol2 ), skol3 ) }.
% 27.05/27.49 parent0: (3200) {G0,W5,D3,L1,V0,M1} { apart_point_and_line(
% 27.05/27.49 intersection_point( skol1, skol2 ), skol3 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (18) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 27.05/27.49 intersection_point( skol3, skol2 ), skol1 ) }.
% 27.05/27.49 parent0: (3201) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line(
% 27.05/27.49 intersection_point( skol3, skol2 ), skol1 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3295) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 27.05/27.49 distinct_points( X, Y ) }.
% 27.05/27.49 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 27.05/27.49 parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 27.05/27.49 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 X := X
% 27.05/27.49 Y := Y
% 27.05/27.49 Z := X
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 27.05/27.49 distinct_points( X, Y ) }.
% 27.05/27.49 parent0: (3295) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 27.05/27.49 distinct_points( X, Y ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := Y
% 27.05/27.49 Y := X
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 1
% 27.05/27.49 1 ==> 0
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3297) {G1,W9,D2,L3,V3,M3} { distinct_points( Y, X ),
% 27.05/27.49 distinct_points( Z, Y ), ! distinct_points( X, Z ) }.
% 27.05/27.49 parent0[0]: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 27.05/27.49 distinct_points( X, Y ) }.
% 27.05/27.49 parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 27.05/27.49 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := Y
% 27.05/27.49 Y := X
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 X := X
% 27.05/27.49 Y := Z
% 27.05/27.49 Z := Y
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (22) {G2,W9,D2,L3,V3,M3} R(21,3) { distinct_points( Z, X ), !
% 27.05/27.49 distinct_points( Y, Z ), distinct_points( X, Y ) }.
% 27.05/27.49 parent0: (3297) {G1,W9,D2,L3,V3,M3} { distinct_points( Y, X ),
% 27.05/27.49 distinct_points( Z, Y ), ! distinct_points( X, Z ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := Y
% 27.05/27.49 Y := X
% 27.05/27.49 Z := Z
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 2
% 27.05/27.49 1 ==> 0
% 27.05/27.49 2 ==> 1
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3300) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 27.05/27.49 distinct_lines( X, Y ) }.
% 27.05/27.49 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 27.05/27.49 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 27.05/27.49 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 X := X
% 27.05/27.49 Y := Y
% 27.05/27.49 Z := X
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (26) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 27.05/27.49 distinct_lines( X, Y ) }.
% 27.05/27.49 parent0: (3300) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 27.05/27.49 distinct_lines( X, Y ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := Y
% 27.05/27.49 Y := X
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 1
% 27.05/27.49 1 ==> 0
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3302) {G1,W6,D2,L2,V1,M2} { convergent_lines( skol1, X ),
% 27.05/27.49 convergent_lines( skol2, X ) }.
% 27.05/27.49 parent0[2]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 27.05/27.49 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 27.05/27.49 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 27.05/27.49 }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := skol1
% 27.05/27.49 Y := skol2
% 27.05/27.49 Z := X
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (31) {G1,W6,D2,L2,V1,M1} R(5,14) { convergent_lines( skol1, X
% 27.05/27.49 ), convergent_lines( skol2, X ) }.
% 27.05/27.49 parent0: (3302) {G1,W6,D2,L2,V1,M2} { convergent_lines( skol1, X ),
% 27.05/27.49 convergent_lines( skol2, X ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 1 ==> 1
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3303) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 27.05/27.49 convergent_lines( X, Y ) }.
% 27.05/27.49 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 27.05/27.49 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 27.05/27.49 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 X := X
% 27.05/27.49 Y := Y
% 27.05/27.49 Z := X
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (34) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 27.05/27.49 convergent_lines( X, Y ) }.
% 27.05/27.49 parent0: (3303) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 27.05/27.49 convergent_lines( X, Y ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := Y
% 27.05/27.49 Y := X
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 1
% 27.05/27.49 1 ==> 0
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3305) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol1 )
% 27.05/27.49 }.
% 27.05/27.49 parent0[0]: (34) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 27.05/27.49 convergent_lines( X, Y ) }.
% 27.05/27.49 parent1[0]: (16) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol3 )
% 27.05/27.49 }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := skol3
% 27.05/27.49 Y := skol1
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (39) {G2,W3,D2,L1,V0,M1} R(34,16) { convergent_lines( skol3,
% 27.05/27.49 skol1 ) }.
% 27.05/27.49 parent0: (3305) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol1 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3307) {G2,W6,D2,L2,V1,M2} { convergent_lines( X, skol2 ),
% 27.05/27.49 convergent_lines( skol1, X ) }.
% 27.05/27.49 parent0[0]: (34) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 27.05/27.49 convergent_lines( X, Y ) }.
% 27.05/27.49 parent1[1]: (31) {G1,W6,D2,L2,V1,M1} R(5,14) { convergent_lines( skol1, X )
% 27.05/27.49 , convergent_lines( skol2, X ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 Y := skol2
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 X := X
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (40) {G2,W6,D2,L2,V1,M2} R(31,34) { convergent_lines( X, skol2
% 27.05/27.49 ), convergent_lines( skol1, X ) }.
% 27.05/27.49 parent0: (3307) {G2,W6,D2,L2,V1,M2} { convergent_lines( X, skol2 ),
% 27.05/27.49 convergent_lines( skol1, X ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 1 ==> 1
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3309) {G2,W6,D2,L2,V1,M2} { convergent_lines( X, skol1 ),
% 27.05/27.49 convergent_lines( X, skol2 ) }.
% 27.05/27.49 parent0[0]: (34) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 27.05/27.49 convergent_lines( X, Y ) }.
% 27.05/27.49 parent1[1]: (40) {G2,W6,D2,L2,V1,M2} R(31,34) { convergent_lines( X, skol2
% 27.05/27.49 ), convergent_lines( skol1, X ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 Y := skol1
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 X := X
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (42) {G3,W6,D2,L2,V1,M1} R(40,34) { convergent_lines( X, skol1
% 27.05/27.49 ), convergent_lines( X, skol2 ) }.
% 27.05/27.49 parent0: (3309) {G2,W6,D2,L2,V1,M2} { convergent_lines( X, skol1 ),
% 27.05/27.49 convergent_lines( X, skol2 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 1 ==> 1
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3310) {G1,W22,D3,L6,V4,M6} { ! convergent_lines( X, Y ), !
% 27.05/27.49 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( T, X
% 27.05/27.49 ), apart_point_and_line( Z, T ), apart_point_and_line( Z, X ),
% 27.05/27.49 apart_point_and_line( intersection_point( X, Y ), T ) }.
% 27.05/27.49 parent0[1]: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 27.05/27.49 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 27.05/27.49 parent1[2]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 27.05/27.49 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 27.05/27.49 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 27.05/27.49 apart_point_and_line( X, Z ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 Y := Y
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 X := intersection_point( X, Y )
% 27.05/27.49 Y := Z
% 27.05/27.49 Z := T
% 27.05/27.49 T := X
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (55) {G1,W22,D3,L6,V4,M3} R(10,8) { ! distinct_points(
% 27.05/27.49 intersection_point( X, Y ), Z ), ! distinct_lines( T, X ), !
% 27.05/27.49 convergent_lines( X, Y ), apart_point_and_line( intersection_point( X, Y
% 27.05/27.49 ), T ), apart_point_and_line( Z, T ), apart_point_and_line( Z, X ) }.
% 27.05/27.49 parent0: (3310) {G1,W22,D3,L6,V4,M6} { ! convergent_lines( X, Y ), !
% 27.05/27.49 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( T, X
% 27.05/27.49 ), apart_point_and_line( Z, T ), apart_point_and_line( Z, X ),
% 27.05/27.49 apart_point_and_line( intersection_point( X, Y ), T ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 Y := Y
% 27.05/27.49 Z := Z
% 27.05/27.49 T := T
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 2
% 27.05/27.49 1 ==> 0
% 27.05/27.49 2 ==> 1
% 27.05/27.49 3 ==> 4
% 27.05/27.49 4 ==> 5
% 27.05/27.49 5 ==> 3
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3322) {G1,W22,D3,L6,V4,M6} { ! convergent_lines( X, Y ), !
% 27.05/27.49 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( Y, T
% 27.05/27.49 ), apart_point_and_line( intersection_point( X, Y ), T ),
% 27.05/27.49 apart_point_and_line( Z, Y ), apart_point_and_line( Z, T ) }.
% 27.05/27.49 parent0[1]: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 27.05/27.49 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 27.05/27.49 parent1[5]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 27.05/27.49 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 27.05/27.49 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 27.05/27.49 apart_point_and_line( X, Z ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 Y := Y
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 X := intersection_point( X, Y )
% 27.05/27.49 Y := Z
% 27.05/27.49 Z := Y
% 27.05/27.49 T := T
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (62) {G1,W22,D3,L6,V4,M3} R(10,9) { ! distinct_points(
% 27.05/27.49 intersection_point( X, Y ), Z ), ! distinct_lines( Y, T ), !
% 27.05/27.49 convergent_lines( X, Y ), apart_point_and_line( Z, T ),
% 27.05/27.49 apart_point_and_line( intersection_point( X, Y ), T ),
% 27.05/27.49 apart_point_and_line( Z, Y ) }.
% 27.05/27.49 parent0: (3322) {G1,W22,D3,L6,V4,M6} { ! convergent_lines( X, Y ), !
% 27.05/27.49 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( Y, T
% 27.05/27.49 ), apart_point_and_line( intersection_point( X, Y ), T ),
% 27.05/27.49 apart_point_and_line( Z, Y ), apart_point_and_line( Z, T ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 Y := Y
% 27.05/27.49 Z := Z
% 27.05/27.49 T := T
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 2
% 27.05/27.49 1 ==> 0
% 27.05/27.49 2 ==> 1
% 27.05/27.49 3 ==> 4
% 27.05/27.49 4 ==> 5
% 27.05/27.49 5 ==> 3
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3328) {G1,W8,D3,L2,V1,M2} { distinct_points(
% 27.05/27.49 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol3 )
% 27.05/27.49 }.
% 27.05/27.49 parent0[2]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 27.05/27.49 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 27.05/27.49 parent1[0]: (17) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line(
% 27.05/27.49 intersection_point( skol1, skol2 ), skol3 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := intersection_point( skol1, skol2 )
% 27.05/27.49 Y := skol3
% 27.05/27.49 Z := X
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (85) {G1,W8,D3,L2,V1,M1} R(11,17) { distinct_points(
% 27.05/27.49 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol3 )
% 27.05/27.49 }.
% 27.05/27.49 parent0: (3328) {G1,W8,D3,L2,V1,M2} { distinct_points( intersection_point
% 27.05/27.49 ( skol1, skol2 ), X ), apart_point_and_line( X, skol3 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 1 ==> 1
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3329) {G1,W8,D3,L2,V1,M2} { distinct_lines( skol3, X ),
% 27.05/27.49 apart_point_and_line( intersection_point( skol1, skol2 ), X ) }.
% 27.05/27.49 parent0[2]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 27.05/27.49 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 27.05/27.49 parent1[0]: (17) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line(
% 27.05/27.49 intersection_point( skol1, skol2 ), skol3 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := intersection_point( skol1, skol2 )
% 27.05/27.49 Y := skol3
% 27.05/27.49 Z := X
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (104) {G1,W8,D3,L2,V1,M1} R(12,17) { distinct_lines( skol3, X
% 27.05/27.49 ), apart_point_and_line( intersection_point( skol1, skol2 ), X ) }.
% 27.05/27.49 parent0: (3329) {G1,W8,D3,L2,V1,M2} { distinct_lines( skol3, X ),
% 27.05/27.49 apart_point_and_line( intersection_point( skol1, skol2 ), X ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 1 ==> 1
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3330) {G1,W6,D2,L2,V0,M2} { ! convergent_lines( skol1, skol2
% 27.05/27.49 ), distinct_lines( skol3, skol1 ) }.
% 27.05/27.49 parent0[1]: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 27.05/27.49 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 27.05/27.49 parent1[1]: (104) {G1,W8,D3,L2,V1,M1} R(12,17) { distinct_lines( skol3, X )
% 27.05/27.49 , apart_point_and_line( intersection_point( skol1, skol2 ), X ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := skol1
% 27.05/27.49 Y := skol2
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 X := skol1
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3331) {G1,W3,D2,L1,V0,M1} { distinct_lines( skol3, skol1 )
% 27.05/27.49 }.
% 27.05/27.49 parent0[0]: (3330) {G1,W6,D2,L2,V0,M2} { ! convergent_lines( skol1, skol2
% 27.05/27.49 ), distinct_lines( skol3, skol1 ) }.
% 27.05/27.49 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 27.05/27.49 }.
% 27.05/27.49 substitution0:
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (110) {G2,W3,D2,L1,V0,M1} R(104,8);r(14) { distinct_lines(
% 27.05/27.49 skol3, skol1 ) }.
% 27.05/27.49 parent0: (3331) {G1,W3,D2,L1,V0,M1} { distinct_lines( skol3, skol1 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3332) {G2,W3,D2,L1,V0,M1} { distinct_lines( skol1, skol3 )
% 27.05/27.49 }.
% 27.05/27.49 parent0[0]: (26) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 27.05/27.49 distinct_lines( X, Y ) }.
% 27.05/27.49 parent1[0]: (110) {G2,W3,D2,L1,V0,M1} R(104,8);r(14) { distinct_lines(
% 27.05/27.49 skol3, skol1 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := skol1
% 27.05/27.49 Y := skol3
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (112) {G3,W3,D2,L1,V0,M1} R(110,26) { distinct_lines( skol1,
% 27.05/27.49 skol3 ) }.
% 27.05/27.49 parent0: (3332) {G2,W3,D2,L1,V0,M1} { distinct_lines( skol1, skol3 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3333) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ), !
% 27.05/27.49 convergent_lines( Z, X ), convergent_lines( Z, Y ) }.
% 27.05/27.49 parent0[0]: (26) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 27.05/27.49 distinct_lines( X, Y ) }.
% 27.05/27.49 parent1[2]: (13) {G0,W9,D2,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 27.05/27.49 convergent_lines( X, Z ), distinct_lines( Y, Z ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := Y
% 27.05/27.49 Y := X
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 X := Z
% 27.05/27.49 Y := X
% 27.05/27.49 Z := Y
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (116) {G2,W9,D2,L3,V3,M1} R(13,26) { ! convergent_lines( X, Y
% 27.05/27.49 ), convergent_lines( X, Z ), distinct_lines( Z, Y ) }.
% 27.05/27.49 parent0: (3333) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ), !
% 27.05/27.49 convergent_lines( Z, X ), convergent_lines( Z, Y ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := Y
% 27.05/27.49 Y := Z
% 27.05/27.49 Z := X
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 2
% 27.05/27.49 1 ==> 0
% 27.05/27.49 2 ==> 1
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3334) {G1,W10,D3,L2,V1,M2} { ! convergent_lines( skol3, X ),
% 27.05/27.49 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 27.05/27.49 skol3, X ) ) }.
% 27.05/27.49 parent0[1]: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 27.05/27.49 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 27.05/27.49 parent1[1]: (85) {G1,W8,D3,L2,V1,M1} R(11,17) { distinct_points(
% 27.05/27.49 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol3 )
% 27.05/27.49 }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := skol3
% 27.05/27.49 Y := X
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 X := intersection_point( skol3, X )
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (151) {G2,W10,D3,L2,V1,M1} R(85,8) { ! convergent_lines( skol3
% 27.05/27.49 , X ), distinct_points( intersection_point( skol1, skol2 ),
% 27.05/27.49 intersection_point( skol3, X ) ) }.
% 27.05/27.49 parent0: (3334) {G1,W10,D3,L2,V1,M2} { ! convergent_lines( skol3, X ),
% 27.05/27.49 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 27.05/27.49 skol3, X ) ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 1 ==> 1
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3337) {G2,W9,D2,L3,V3,M3} { distinct_points( Y, X ), !
% 27.05/27.49 distinct_points( Z, X ), distinct_points( Y, Z ) }.
% 27.05/27.49 parent0[0]: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 27.05/27.49 distinct_points( X, Y ) }.
% 27.05/27.49 parent1[0]: (22) {G2,W9,D2,L3,V3,M3} R(21,3) { distinct_points( Z, X ), !
% 27.05/27.49 distinct_points( Y, Z ), distinct_points( X, Y ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := Y
% 27.05/27.49 Y := X
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 X := Y
% 27.05/27.49 Y := Z
% 27.05/27.49 Z := X
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (161) {G3,W9,D2,L3,V3,M3} R(22,21) { distinct_points( Z, X ),
% 27.05/27.49 distinct_points( Z, Y ), ! distinct_points( X, Y ) }.
% 27.05/27.49 parent0: (3337) {G2,W9,D2,L3,V3,M3} { distinct_points( Y, X ), !
% 27.05/27.49 distinct_points( Z, X ), distinct_points( Y, Z ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := Y
% 27.05/27.49 Y := Z
% 27.05/27.49 Z := X
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 1
% 27.05/27.49 1 ==> 2
% 27.05/27.49 2 ==> 0
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3341) {G3,W13,D3,L3,V2,M3} { distinct_points( X,
% 27.05/27.49 intersection_point( skol1, skol2 ) ), distinct_points( X,
% 27.05/27.49 intersection_point( skol3, Y ) ), ! convergent_lines( skol3, Y ) }.
% 27.05/27.49 parent0[2]: (161) {G3,W9,D2,L3,V3,M3} R(22,21) { distinct_points( Z, X ),
% 27.05/27.49 distinct_points( Z, Y ), ! distinct_points( X, Y ) }.
% 27.05/27.49 parent1[1]: (151) {G2,W10,D3,L2,V1,M1} R(85,8) { ! convergent_lines( skol3
% 27.05/27.49 , X ), distinct_points( intersection_point( skol1, skol2 ),
% 27.05/27.49 intersection_point( skol3, X ) ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := intersection_point( skol1, skol2 )
% 27.05/27.49 Y := intersection_point( skol3, Y )
% 27.05/27.49 Z := X
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 X := Y
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (425) {G4,W13,D3,L3,V2,M2} R(151,161) { ! convergent_lines(
% 27.05/27.49 skol3, X ), distinct_points( Y, intersection_point( skol3, X ) ),
% 27.05/27.49 distinct_points( Y, intersection_point( skol1, skol2 ) ) }.
% 27.05/27.49 parent0: (3341) {G3,W13,D3,L3,V2,M3} { distinct_points( X,
% 27.05/27.49 intersection_point( skol1, skol2 ) ), distinct_points( X,
% 27.05/27.49 intersection_point( skol3, Y ) ), ! convergent_lines( skol3, Y ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := Y
% 27.05/27.49 Y := X
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 2
% 27.05/27.49 1 ==> 1
% 27.05/27.49 2 ==> 0
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3342) {G1,W17,D3,L5,V1,M5} { ! distinct_points(
% 27.05/27.49 intersection_point( skol3, skol2 ), X ), ! distinct_lines( skol1, skol3 )
% 27.05/27.49 , ! convergent_lines( skol3, skol2 ), apart_point_and_line( X, skol1 ),
% 27.05/27.49 apart_point_and_line( X, skol3 ) }.
% 27.05/27.49 parent0[0]: (18) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 27.05/27.49 intersection_point( skol3, skol2 ), skol1 ) }.
% 27.05/27.49 parent1[3]: (55) {G1,W22,D3,L6,V4,M3} R(10,8) { ! distinct_points(
% 27.05/27.49 intersection_point( X, Y ), Z ), ! distinct_lines( T, X ), !
% 27.05/27.49 convergent_lines( X, Y ), apart_point_and_line( intersection_point( X, Y
% 27.05/27.49 ), T ), apart_point_and_line( Z, T ), apart_point_and_line( Z, X ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 X := skol3
% 27.05/27.49 Y := skol2
% 27.05/27.49 Z := X
% 27.05/27.49 T := skol1
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3345) {G2,W14,D3,L4,V1,M4} { ! distinct_points(
% 27.05/27.49 intersection_point( skol3, skol2 ), X ), ! convergent_lines( skol3, skol2
% 27.05/27.49 ), apart_point_and_line( X, skol1 ), apart_point_and_line( X, skol3 )
% 27.05/27.49 }.
% 27.05/27.49 parent0[1]: (3342) {G1,W17,D3,L5,V1,M5} { ! distinct_points(
% 27.05/27.49 intersection_point( skol3, skol2 ), X ), ! distinct_lines( skol1, skol3 )
% 27.05/27.49 , ! convergent_lines( skol3, skol2 ), apart_point_and_line( X, skol1 ),
% 27.05/27.49 apart_point_and_line( X, skol3 ) }.
% 27.05/27.49 parent1[0]: (112) {G3,W3,D2,L1,V0,M1} R(110,26) { distinct_lines( skol1,
% 27.05/27.49 skol3 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (530) {G4,W14,D3,L4,V1,M1} R(55,18);r(112) { !
% 27.05/27.49 convergent_lines( skol3, skol2 ), ! distinct_points( intersection_point(
% 27.05/27.49 skol3, skol2 ), X ), apart_point_and_line( X, skol1 ),
% 27.05/27.49 apart_point_and_line( X, skol3 ) }.
% 27.05/27.49 parent0: (3345) {G2,W14,D3,L4,V1,M4} { ! distinct_points(
% 27.05/27.49 intersection_point( skol3, skol2 ), X ), ! convergent_lines( skol3, skol2
% 27.05/27.49 ), apart_point_and_line( X, skol1 ), apart_point_and_line( X, skol3 )
% 27.05/27.49 }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 1
% 27.05/27.49 1 ==> 0
% 27.05/27.49 2 ==> 2
% 27.05/27.49 3 ==> 3
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3347) {G1,W17,D3,L5,V1,M5} { ! distinct_points(
% 27.05/27.49 intersection_point( skol3, skol2 ), X ), ! distinct_lines( skol2, skol1 )
% 27.05/27.49 , ! convergent_lines( skol3, skol2 ), apart_point_and_line( X, skol1 ),
% 27.05/27.49 apart_point_and_line( X, skol2 ) }.
% 27.05/27.49 parent0[0]: (18) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 27.05/27.49 intersection_point( skol3, skol2 ), skol1 ) }.
% 27.05/27.49 parent1[4]: (62) {G1,W22,D3,L6,V4,M3} R(10,9) { ! distinct_points(
% 27.05/27.49 intersection_point( X, Y ), Z ), ! distinct_lines( Y, T ), !
% 27.05/27.49 convergent_lines( X, Y ), apart_point_and_line( Z, T ),
% 27.05/27.49 apart_point_and_line( intersection_point( X, Y ), T ),
% 27.05/27.49 apart_point_and_line( Z, Y ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 X := skol3
% 27.05/27.49 Y := skol2
% 27.05/27.49 Z := X
% 27.05/27.49 T := skol1
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3349) {G1,W14,D3,L4,V1,M4} { ! distinct_points(
% 27.05/27.49 intersection_point( skol3, skol2 ), X ), ! distinct_lines( skol2, skol1 )
% 27.05/27.49 , apart_point_and_line( X, skol1 ), apart_point_and_line( X, skol2 ) }.
% 27.05/27.49 parent0[2]: (3347) {G1,W17,D3,L5,V1,M5} { ! distinct_points(
% 27.05/27.49 intersection_point( skol3, skol2 ), X ), ! distinct_lines( skol2, skol1 )
% 27.05/27.49 , ! convergent_lines( skol3, skol2 ), apart_point_and_line( X, skol1 ),
% 27.05/27.49 apart_point_and_line( X, skol2 ) }.
% 27.05/27.49 parent1[0]: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol2 )
% 27.05/27.49 }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (805) {G2,W14,D3,L4,V1,M1} R(62,18);r(15) { ! distinct_points
% 27.05/27.49 ( intersection_point( skol3, skol2 ), X ), ! distinct_lines( skol2, skol1
% 27.05/27.49 ), apart_point_and_line( X, skol1 ), apart_point_and_line( X, skol2 )
% 27.05/27.49 }.
% 27.05/27.49 parent0: (3349) {G1,W14,D3,L4,V1,M4} { ! distinct_points(
% 27.05/27.49 intersection_point( skol3, skol2 ), X ), ! distinct_lines( skol2, skol1 )
% 27.05/27.49 , apart_point_and_line( X, skol1 ), apart_point_and_line( X, skol2 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 1 ==> 1
% 27.05/27.49 2 ==> 2
% 27.05/27.49 3 ==> 3
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3351) {G1,W18,D3,L4,V1,M4} { ! convergent_lines( X, skol2 ),
% 27.05/27.49 ! distinct_points( intersection_point( skol3, skol2 ), intersection_point
% 27.05/27.49 ( X, skol2 ) ), ! distinct_lines( skol2, skol1 ), apart_point_and_line(
% 27.05/27.49 intersection_point( X, skol2 ), skol1 ) }.
% 27.05/27.49 parent0[1]: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 27.05/27.49 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 27.05/27.49 parent1[3]: (805) {G2,W14,D3,L4,V1,M1} R(62,18);r(15) { ! distinct_points(
% 27.05/27.49 intersection_point( skol3, skol2 ), X ), ! distinct_lines( skol2, skol1 )
% 27.05/27.49 , apart_point_and_line( X, skol1 ), apart_point_and_line( X, skol2 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 Y := skol2
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 X := intersection_point( X, skol2 )
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (1686) {G3,W18,D3,L4,V1,M1} R(805,9) { ! distinct_points(
% 27.05/27.49 intersection_point( skol3, skol2 ), intersection_point( X, skol2 ) ), !
% 27.05/27.49 distinct_lines( skol2, skol1 ), ! convergent_lines( X, skol2 ),
% 27.05/27.49 apart_point_and_line( intersection_point( X, skol2 ), skol1 ) }.
% 27.05/27.49 parent0: (3351) {G1,W18,D3,L4,V1,M4} { ! convergent_lines( X, skol2 ), !
% 27.05/27.49 distinct_points( intersection_point( skol3, skol2 ), intersection_point(
% 27.05/27.49 X, skol2 ) ), ! distinct_lines( skol2, skol1 ), apart_point_and_line(
% 27.05/27.49 intersection_point( X, skol2 ), skol1 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 2
% 27.05/27.49 1 ==> 0
% 27.05/27.49 2 ==> 1
% 27.05/27.49 3 ==> 3
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3352) {G1,W11,D3,L3,V1,M3} { ! distinct_points(
% 27.05/27.49 intersection_point( skol3, skol2 ), X ), apart_point_and_line( X, skol1 )
% 27.05/27.49 , apart_point_and_line( X, skol3 ) }.
% 27.05/27.49 parent0[0]: (530) {G4,W14,D3,L4,V1,M1} R(55,18);r(112) { ! convergent_lines
% 27.05/27.49 ( skol3, skol2 ), ! distinct_points( intersection_point( skol3, skol2 ),
% 27.05/27.49 X ), apart_point_and_line( X, skol1 ), apart_point_and_line( X, skol3 )
% 27.05/27.49 }.
% 27.05/27.49 parent1[0]: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol2 )
% 27.05/27.49 }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (1750) {G5,W11,D3,L3,V1,M1} S(530);r(15) { ! distinct_points(
% 27.05/27.49 intersection_point( skol3, skol2 ), X ), apart_point_and_line( X, skol1 )
% 27.05/27.49 , apart_point_and_line( X, skol3 ) }.
% 27.05/27.49 parent0: (3352) {G1,W11,D3,L3,V1,M3} { ! distinct_points(
% 27.05/27.49 intersection_point( skol3, skol2 ), X ), apart_point_and_line( X, skol1 )
% 27.05/27.49 , apart_point_and_line( X, skol3 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 1 ==> 1
% 27.05/27.49 2 ==> 2
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3354) {G1,W15,D3,L3,V1,M3} { ! convergent_lines( skol3, X ),
% 27.05/27.49 ! distinct_points( intersection_point( skol3, skol2 ), intersection_point
% 27.05/27.49 ( skol3, X ) ), apart_point_and_line( intersection_point( skol3, X ),
% 27.05/27.49 skol1 ) }.
% 27.05/27.49 parent0[1]: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 27.05/27.49 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 27.05/27.49 parent1[2]: (1750) {G5,W11,D3,L3,V1,M1} S(530);r(15) { ! distinct_points(
% 27.05/27.49 intersection_point( skol3, skol2 ), X ), apart_point_and_line( X, skol1 )
% 27.05/27.49 , apart_point_and_line( X, skol3 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := skol3
% 27.05/27.49 Y := X
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 X := intersection_point( skol3, X )
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (1779) {G6,W15,D3,L3,V1,M1} R(1750,8) { ! distinct_points(
% 27.05/27.49 intersection_point( skol3, skol2 ), intersection_point( skol3, X ) ), !
% 27.05/27.49 convergent_lines( skol3, X ), apart_point_and_line( intersection_point(
% 27.05/27.49 skol3, X ), skol1 ) }.
% 27.05/27.49 parent0: (3354) {G1,W15,D3,L3,V1,M3} { ! convergent_lines( skol3, X ), !
% 27.05/27.49 distinct_points( intersection_point( skol3, skol2 ), intersection_point(
% 27.05/27.49 skol3, X ) ), apart_point_and_line( intersection_point( skol3, X ), skol1
% 27.05/27.49 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 1
% 27.05/27.49 1 ==> 0
% 27.05/27.49 2 ==> 2
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3355) {G1,W13,D3,L3,V0,M3} { ! convergent_lines( skol3, skol1
% 27.05/27.49 ), ! distinct_points( intersection_point( skol3, skol2 ),
% 27.05/27.49 intersection_point( skol3, skol1 ) ), ! convergent_lines( skol3, skol1 )
% 27.05/27.49 }.
% 27.05/27.49 parent0[1]: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 27.05/27.49 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 27.05/27.49 parent1[2]: (1779) {G6,W15,D3,L3,V1,M1} R(1750,8) { ! distinct_points(
% 27.05/27.49 intersection_point( skol3, skol2 ), intersection_point( skol3, X ) ), !
% 27.05/27.49 convergent_lines( skol3, X ), apart_point_and_line( intersection_point(
% 27.05/27.49 skol3, X ), skol1 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := skol3
% 27.05/27.49 Y := skol1
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 X := skol1
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 factor: (3356) {G1,W10,D3,L2,V0,M2} { ! convergent_lines( skol3, skol1 ),
% 27.05/27.49 ! distinct_points( intersection_point( skol3, skol2 ), intersection_point
% 27.05/27.49 ( skol3, skol1 ) ) }.
% 27.05/27.49 parent0[0, 2]: (3355) {G1,W13,D3,L3,V0,M3} { ! convergent_lines( skol3,
% 27.05/27.49 skol1 ), ! distinct_points( intersection_point( skol3, skol2 ),
% 27.05/27.49 intersection_point( skol3, skol1 ) ), ! convergent_lines( skol3, skol1 )
% 27.05/27.49 }.
% 27.05/27.49 substitution0:
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3358) {G2,W7,D3,L1,V0,M1} { ! distinct_points(
% 27.05/27.49 intersection_point( skol3, skol2 ), intersection_point( skol3, skol1 ) )
% 27.05/27.49 }.
% 27.05/27.49 parent0[0]: (3356) {G1,W10,D3,L2,V0,M2} { ! convergent_lines( skol3, skol1
% 27.05/27.49 ), ! distinct_points( intersection_point( skol3, skol2 ),
% 27.05/27.49 intersection_point( skol3, skol1 ) ) }.
% 27.05/27.49 parent1[0]: (39) {G2,W3,D2,L1,V0,M1} R(34,16) { convergent_lines( skol3,
% 27.05/27.49 skol1 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (1805) {G7,W7,D3,L1,V0,M1} R(1779,9);f;r(39) { !
% 27.05/27.49 distinct_points( intersection_point( skol3, skol2 ), intersection_point(
% 27.05/27.49 skol3, skol1 ) ) }.
% 27.05/27.49 parent0: (3358) {G2,W7,D3,L1,V0,M1} { ! distinct_points(
% 27.05/27.49 intersection_point( skol3, skol2 ), intersection_point( skol3, skol1 ) )
% 27.05/27.49 }.
% 27.05/27.49 substitution0:
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3359) {G5,W10,D3,L2,V0,M2} { ! convergent_lines( skol3, skol1
% 27.05/27.49 ), distinct_points( intersection_point( skol3, skol2 ),
% 27.05/27.49 intersection_point( skol1, skol2 ) ) }.
% 27.05/27.49 parent0[0]: (1805) {G7,W7,D3,L1,V0,M1} R(1779,9);f;r(39) { !
% 27.05/27.49 distinct_points( intersection_point( skol3, skol2 ), intersection_point(
% 27.05/27.49 skol3, skol1 ) ) }.
% 27.05/27.49 parent1[1]: (425) {G4,W13,D3,L3,V2,M2} R(151,161) { ! convergent_lines(
% 27.05/27.49 skol3, X ), distinct_points( Y, intersection_point( skol3, X ) ),
% 27.05/27.49 distinct_points( Y, intersection_point( skol1, skol2 ) ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 X := skol1
% 27.05/27.49 Y := intersection_point( skol3, skol2 )
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3360) {G3,W7,D3,L1,V0,M1} { distinct_points(
% 27.05/27.49 intersection_point( skol3, skol2 ), intersection_point( skol1, skol2 ) )
% 27.05/27.49 }.
% 27.05/27.49 parent0[0]: (3359) {G5,W10,D3,L2,V0,M2} { ! convergent_lines( skol3, skol1
% 27.05/27.49 ), distinct_points( intersection_point( skol3, skol2 ),
% 27.05/27.49 intersection_point( skol1, skol2 ) ) }.
% 27.05/27.49 parent1[0]: (39) {G2,W3,D2,L1,V0,M1} R(34,16) { convergent_lines( skol3,
% 27.05/27.49 skol1 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (1840) {G8,W7,D3,L1,V0,M1} R(1805,425);r(39) { distinct_points
% 27.05/27.49 ( intersection_point( skol3, skol2 ), intersection_point( skol1, skol2 )
% 27.05/27.49 ) }.
% 27.05/27.49 parent0: (3360) {G3,W7,D3,L1,V0,M1} { distinct_points( intersection_point
% 27.05/27.49 ( skol3, skol2 ), intersection_point( skol1, skol2 ) ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3361) {G1,W16,D3,L4,V0,M4} { ! convergent_lines( skol1, skol2
% 27.05/27.49 ), ! distinct_points( intersection_point( skol3, skol2 ),
% 27.05/27.49 intersection_point( skol1, skol2 ) ), ! distinct_lines( skol2, skol1 ), !
% 27.05/27.49 convergent_lines( skol1, skol2 ) }.
% 27.05/27.49 parent0[1]: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 27.05/27.49 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 27.05/27.49 parent1[3]: (1686) {G3,W18,D3,L4,V1,M1} R(805,9) { ! distinct_points(
% 27.05/27.49 intersection_point( skol3, skol2 ), intersection_point( X, skol2 ) ), !
% 27.05/27.49 distinct_lines( skol2, skol1 ), ! convergent_lines( X, skol2 ),
% 27.05/27.49 apart_point_and_line( intersection_point( X, skol2 ), skol1 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := skol1
% 27.05/27.49 Y := skol2
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 X := skol1
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3363) {G2,W9,D2,L3,V0,M3} { ! convergent_lines( skol1, skol2
% 27.05/27.49 ), ! distinct_lines( skol2, skol1 ), ! convergent_lines( skol1, skol2 )
% 27.05/27.49 }.
% 27.05/27.49 parent0[1]: (3361) {G1,W16,D3,L4,V0,M4} { ! convergent_lines( skol1, skol2
% 27.05/27.49 ), ! distinct_points( intersection_point( skol3, skol2 ),
% 27.05/27.49 intersection_point( skol1, skol2 ) ), ! distinct_lines( skol2, skol1 ), !
% 27.05/27.49 convergent_lines( skol1, skol2 ) }.
% 27.05/27.49 parent1[0]: (1840) {G8,W7,D3,L1,V0,M1} R(1805,425);r(39) { distinct_points
% 27.05/27.49 ( intersection_point( skol3, skol2 ), intersection_point( skol1, skol2 )
% 27.05/27.49 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 factor: (3364) {G2,W6,D2,L2,V0,M2} { ! convergent_lines( skol1, skol2 ), !
% 27.05/27.49 distinct_lines( skol2, skol1 ) }.
% 27.05/27.49 parent0[0, 2]: (3363) {G2,W9,D2,L3,V0,M3} { ! convergent_lines( skol1,
% 27.05/27.49 skol2 ), ! distinct_lines( skol2, skol1 ), ! convergent_lines( skol1,
% 27.05/27.49 skol2 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (2756) {G9,W6,D2,L2,V0,M1} R(1686,8);f;r(1840) { !
% 27.05/27.49 convergent_lines( skol1, skol2 ), ! distinct_lines( skol2, skol1 ) }.
% 27.05/27.49 parent0: (3364) {G2,W6,D2,L2,V0,M2} { ! convergent_lines( skol1, skol2 ),
% 27.05/27.49 ! distinct_lines( skol2, skol1 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 1 ==> 1
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3365) {G1,W3,D2,L1,V0,M1} { ! distinct_lines( skol2, skol1 )
% 27.05/27.49 }.
% 27.05/27.49 parent0[0]: (2756) {G9,W6,D2,L2,V0,M1} R(1686,8);f;r(1840) { !
% 27.05/27.49 convergent_lines( skol1, skol2 ), ! distinct_lines( skol2, skol1 ) }.
% 27.05/27.49 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 27.05/27.49 }.
% 27.05/27.49 substitution0:
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (2757) {G10,W3,D2,L1,V0,M1} S(2756);r(14) { ! distinct_lines(
% 27.05/27.49 skol2, skol1 ) }.
% 27.05/27.49 parent0: (3365) {G1,W3,D2,L1,V0,M1} { ! distinct_lines( skol2, skol1 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3366) {G3,W6,D2,L2,V1,M2} { ! convergent_lines( X, skol1 ),
% 27.05/27.49 convergent_lines( X, skol2 ) }.
% 27.05/27.49 parent0[0]: (2757) {G10,W3,D2,L1,V0,M1} S(2756);r(14) { ! distinct_lines(
% 27.05/27.49 skol2, skol1 ) }.
% 27.05/27.49 parent1[2]: (116) {G2,W9,D2,L3,V3,M1} R(13,26) { ! convergent_lines( X, Y )
% 27.05/27.49 , convergent_lines( X, Z ), distinct_lines( Z, Y ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 X := X
% 27.05/27.49 Y := skol1
% 27.05/27.49 Z := skol2
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3367) {G4,W6,D2,L2,V1,M2} { convergent_lines( X, skol2 ),
% 27.05/27.49 convergent_lines( X, skol2 ) }.
% 27.05/27.49 parent0[0]: (3366) {G3,W6,D2,L2,V1,M2} { ! convergent_lines( X, skol1 ),
% 27.05/27.49 convergent_lines( X, skol2 ) }.
% 27.05/27.49 parent1[0]: (42) {G3,W6,D2,L2,V1,M1} R(40,34) { convergent_lines( X, skol1
% 27.05/27.49 ), convergent_lines( X, skol2 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 X := X
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 factor: (3368) {G4,W3,D2,L1,V1,M1} { convergent_lines( X, skol2 ) }.
% 27.05/27.49 parent0[0, 1]: (3367) {G4,W6,D2,L2,V1,M2} { convergent_lines( X, skol2 ),
% 27.05/27.49 convergent_lines( X, skol2 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (3136) {G11,W3,D2,L1,V1,M1} R(2757,116);r(42) {
% 27.05/27.49 convergent_lines( X, skol2 ) }.
% 27.05/27.49 parent0: (3368) {G4,W3,D2,L1,V1,M1} { convergent_lines( X, skol2 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := X
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 0 ==> 0
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 resolution: (3369) {G1,W0,D0,L0,V0,M0} { }.
% 27.05/27.49 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 27.05/27.49 parent1[0]: (3136) {G11,W3,D2,L1,V1,M1} R(2757,116);r(42) {
% 27.05/27.49 convergent_lines( X, skol2 ) }.
% 27.05/27.49 substitution0:
% 27.05/27.49 X := skol2
% 27.05/27.49 end
% 27.05/27.49 substitution1:
% 27.05/27.49 X := skol2
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 subsumption: (3181) {G12,W0,D0,L0,V0,M0} R(3136,2) { }.
% 27.05/27.49 parent0: (3369) {G1,W0,D0,L0,V0,M0} { }.
% 27.05/27.49 substitution0:
% 27.05/27.49 end
% 27.05/27.49 permutation0:
% 27.05/27.49 end
% 27.05/27.49
% 27.05/27.49 Proof check complete!
% 27.05/27.49
% 27.05/27.49 Memory use:
% 27.05/27.49
% 27.05/27.49 space for terms: 51688
% 27.05/27.49 space for clauses: 112954
% 27.05/27.49
% 27.05/27.49
% 27.05/27.49 clauses generated: 1084065
% 27.05/27.49 clauses kept: 3182
% 27.05/27.49 clauses selected: 2433
% 27.05/27.49 clauses deleted: 278
% 27.05/27.49 clauses inuse deleted: 267
% 27.05/27.49
% 27.05/27.49 subsentry: 4190658
% 27.05/27.49 literals s-matched: 1523086
% 27.05/27.49 literals matched: 1523020
% 27.05/27.49 full subsumption: 1321471
% 27.05/27.49
% 27.05/27.49 checksum: 1410831737
% 27.05/27.49
% 27.05/27.49
% 27.05/27.49 Bliksem ended
%------------------------------------------------------------------------------