TSTP Solution File: GEO194+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO194+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 02:52:33 EDT 2022
% Result : Theorem 28.07s 28.43s
% Output : Refutation 28.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO194+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sat Jun 18 11:11:28 EDT 2022
% 0.13/0.35 % CPUTime :
% 28.07/28.43 *** allocated 10000 integers for termspace/termends
% 28.07/28.43 *** allocated 10000 integers for clauses
% 28.07/28.43 *** allocated 10000 integers for justifications
% 28.07/28.43 Bliksem 1.12
% 28.07/28.43
% 28.07/28.43
% 28.07/28.43 Automatic Strategy Selection
% 28.07/28.43
% 28.07/28.43
% 28.07/28.43 Clauses:
% 28.07/28.43
% 28.07/28.43 { ! distinct_points( X, X ) }.
% 28.07/28.43 { ! distinct_lines( X, X ) }.
% 28.07/28.43 { ! convergent_lines( X, X ) }.
% 28.07/28.43 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 28.07/28.43 ) }.
% 28.07/28.43 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 28.07/28.43 }.
% 28.07/28.43 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 28.07/28.43 , Z ) }.
% 28.07/28.43 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 28.07/28.43 , Y ) ) }.
% 28.07/28.43 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 28.07/28.43 , Y ) ) }.
% 28.07/28.43 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 28.07/28.43 , Y ), X ) }.
% 28.07/28.43 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 28.07/28.43 , Y ), Y ) }.
% 28.07/28.43 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 28.07/28.43 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 28.07/28.43 apart_point_and_line( Y, T ) }.
% 28.07/28.43 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 28.07/28.43 apart_point_and_line( Z, Y ) }.
% 28.07/28.43 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 28.07/28.43 apart_point_and_line( X, Z ) }.
% 28.07/28.43 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 28.07/28.43 Z ) }.
% 28.07/28.43 { convergent_lines( skol1, skol2 ) }.
% 28.07/28.43 { convergent_lines( skol3, skol2 ) }.
% 28.07/28.43 { convergent_lines( skol1, skol3 ) }.
% 28.07/28.43 { apart_point_and_line( intersection_point( skol1, skol2 ), skol3 ) }.
% 28.07/28.43 { ! apart_point_and_line( intersection_point( skol1, skol3 ), skol2 ) }.
% 28.07/28.43
% 28.07/28.43 percentage equality = 0.000000, percentage horn = 0.631579
% 28.07/28.43 This a non-horn, non-equality problem
% 28.07/28.43
% 28.07/28.43
% 28.07/28.43 Options Used:
% 28.07/28.43
% 28.07/28.43 useres = 1
% 28.07/28.43 useparamod = 0
% 28.07/28.43 useeqrefl = 0
% 28.07/28.43 useeqfact = 0
% 28.07/28.43 usefactor = 1
% 28.07/28.43 usesimpsplitting = 0
% 28.07/28.43 usesimpdemod = 0
% 28.07/28.43 usesimpres = 3
% 28.07/28.43
% 28.07/28.43 resimpinuse = 1000
% 28.07/28.43 resimpclauses = 20000
% 28.07/28.43 substype = standard
% 28.07/28.43 backwardsubs = 1
% 28.07/28.43 selectoldest = 5
% 28.07/28.43
% 28.07/28.43 litorderings [0] = split
% 28.07/28.43 litorderings [1] = liftord
% 28.07/28.43
% 28.07/28.43 termordering = none
% 28.07/28.43
% 28.07/28.43 litapriori = 1
% 28.07/28.43 termapriori = 0
% 28.07/28.43 litaposteriori = 0
% 28.07/28.43 termaposteriori = 0
% 28.07/28.43 demodaposteriori = 0
% 28.07/28.43 ordereqreflfact = 0
% 28.07/28.43
% 28.07/28.43 litselect = none
% 28.07/28.43
% 28.07/28.43 maxweight = 15
% 28.07/28.43 maxdepth = 30000
% 28.07/28.43 maxlength = 115
% 28.07/28.43 maxnrvars = 195
% 28.07/28.43 excuselevel = 1
% 28.07/28.43 increasemaxweight = 1
% 28.07/28.43
% 28.07/28.43 maxselected = 10000000
% 28.07/28.43 maxnrclauses = 10000000
% 28.07/28.43
% 28.07/28.43 showgenerated = 0
% 28.07/28.43 showkept = 0
% 28.07/28.43 showselected = 0
% 28.07/28.43 showdeleted = 0
% 28.07/28.43 showresimp = 1
% 28.07/28.43 showstatus = 2000
% 28.07/28.43
% 28.07/28.43 prologoutput = 0
% 28.07/28.43 nrgoals = 5000000
% 28.07/28.43 totalproof = 1
% 28.07/28.43
% 28.07/28.43 Symbols occurring in the translation:
% 28.07/28.43
% 28.07/28.43 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 28.07/28.43 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 28.07/28.43 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 28.07/28.43 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 28.07/28.43 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 28.07/28.43 distinct_points [36, 2] (w:1, o:44, a:1, s:1, b:0),
% 28.07/28.43 distinct_lines [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 28.07/28.43 convergent_lines [38, 2] (w:1, o:43, a:1, s:1, b:0),
% 28.07/28.43 line_connecting [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 28.07/28.43 apart_point_and_line [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 28.07/28.43 intersection_point [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 28.07/28.43 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 28.07/28.43 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 28.07/28.43 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0).
% 28.07/28.43
% 28.07/28.43
% 28.07/28.43 Starting Search:
% 28.07/28.43
% 28.07/28.43 *** allocated 15000 integers for clauses
% 28.07/28.43 *** allocated 22500 integers for clauses
% 28.07/28.43 *** allocated 33750 integers for clauses
% 28.07/28.43 *** allocated 15000 integers for termspace/termends
% 28.07/28.43 Resimplifying inuse:
% 28.07/28.43 Done
% 28.07/28.43
% 28.07/28.43 Failed to find proof!
% 28.07/28.43 maxweight = 15
% 28.07/28.43 maxnrclauses = 10000000
% 28.07/28.43 Generated: 120784
% 28.07/28.43 Kept: 875
% 28.07/28.43
% 28.07/28.43
% 28.07/28.43 The strategy used was not complete!
% 28.07/28.43
% 28.07/28.43 Increased maxweight to 16
% 28.07/28.43
% 28.07/28.43 Starting Search:
% 28.07/28.43
% 28.07/28.43 *** allocated 50625 integers for clauses
% 28.07/28.43 Resimplifying inuse:
% 28.07/28.43 Done
% 28.07/28.43
% 28.07/28.43 *** allocated 22500 integers for termspace/termends
% 28.07/28.43 Resimplifying inuse:
% 28.07/28.43 Done
% 28.07/28.43
% 28.07/28.43 Failed to find proof!
% 28.07/28.43 maxweight = 16
% 28.07/28.43 maxnrclauses = 10000000
% 28.07/28.43 Generated: 397374
% 28.07/28.43 Kept: 1239
% 28.07/28.43
% 28.07/28.43
% 28.07/28.43 The strategy used was not complete!
% 28.07/28.43
% 28.07/28.43 Increased maxweight to 17
% 28.07/28.43
% 28.07/28.43 Starting Search:
% 28.07/28.43
% 28.07/28.43 Resimplifying inuse:
% 28.07/28.43 Done
% 28.07/28.43
% 28.07/28.43 *** allocated 75937 integers for clauses
% 28.07/28.43 *** allocated 33750 integers for termspace/termends
% 28.07/28.43 Resimplifying inuse:
% 28.07/28.43 Done
% 28.07/28.43
% 28.07/28.43 Failed to find proof!
% 28.07/28.43 maxweight = 17
% 28.07/28.43 maxnrclauses = 10000000
% 28.07/28.43 Generated: 560082
% 28.07/28.43 Kept: 1667
% 28.07/28.43
% 28.07/28.43
% 28.07/28.43 The strategy used was not complete!
% 28.07/28.43
% 28.07/28.43 Increased maxweight to 18
% 28.07/28.43
% 28.07/28.43 Starting Search:
% 28.07/28.43
% 28.07/28.43 Resimplifying inuse:
% 28.07/28.43 Done
% 28.07/28.43
% 28.07/28.43 *** allocated 50625 integers for termspace/termends
% 28.07/28.43
% 28.07/28.43 Intermediate Status:
% 28.07/28.43 Generated: 123207
% 28.07/28.43 Kept: 2087
% 28.07/28.43 Inuse: 811
% 28.07/28.43 Deleted: 2
% 28.07/28.43 Deletedinuse: 0
% 28.07/28.43
% 28.07/28.43 Resimplifying inuse:
% 28.07/28.43 Done
% 28.07/28.43
% 28.07/28.43 *** allocated 113905 integers for clauses
% 28.07/28.43 *** allocated 75937 integers for termspace/termends
% 28.07/28.43 *** allocated 170857 integers for clauses
% 28.07/28.43 Resimplifying inuse:
% 28.07/28.43 Done
% 28.07/28.43
% 28.07/28.43
% 28.07/28.43 Bliksems!, er is een bewijs:
% 28.07/28.43 % SZS status Theorem
% 28.07/28.43 % SZS output start Refutation
% 28.07/28.43
% 28.07/28.43 (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 28.07/28.43 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 28.07/28.43 (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 28.07/28.43 (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 28.07/28.43 ), ! distinct_points( X, Y ) }.
% 28.07/28.43 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 28.07/28.43 , ! distinct_lines( X, Y ) }.
% 28.07/28.43 (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), convergent_lines( Y,
% 28.07/28.43 Z ), ! convergent_lines( X, Y ) }.
% 28.07/28.43 (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 28.07/28.43 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 28.07/28.43 (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 28.07/28.43 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 28.07/28.43 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 28.07/28.43 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 28.07/28.43 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 28.07/28.43 (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 28.07/28.43 ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 28.07/28.43 (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ), apart_point_and_line(
% 28.07/28.43 X, Z ), ! apart_point_and_line( X, Y ) }.
% 28.07/28.43 (13) {G0,W9,D2,L3,V3,M1} I { ! convergent_lines( X, Y ), convergent_lines(
% 28.07/28.43 X, Z ), distinct_lines( Y, Z ) }.
% 28.07/28.43 (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 ) }.
% 28.07/28.43 (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol2 ) }.
% 28.07/28.43 (16) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol3 ) }.
% 28.07/28.43 (17) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( intersection_point(
% 28.07/28.43 skol1, skol2 ), skol3 ) }.
% 28.07/28.43 (18) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( intersection_point(
% 28.07/28.43 skol1, skol3 ), skol2 ) }.
% 28.07/28.43 (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 28.07/28.43 distinct_points( X, Y ) }.
% 28.07/28.43 (22) {G2,W9,D2,L3,V3,M3} R(21,3) { distinct_points( Z, X ), !
% 28.07/28.43 distinct_points( Y, Z ), distinct_points( X, Y ) }.
% 28.07/28.43 (26) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 28.07/28.43 ( X, Y ) }.
% 28.07/28.43 (31) {G1,W6,D2,L2,V1,M1} R(5,14) { convergent_lines( skol1, X ),
% 28.07/28.43 convergent_lines( skol2, X ) }.
% 28.07/28.43 (34) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 28.07/28.43 convergent_lines( X, Y ) }.
% 28.07/28.43 (40) {G2,W6,D2,L2,V1,M2} R(31,34) { convergent_lines( X, skol2 ),
% 28.07/28.43 convergent_lines( skol1, X ) }.
% 28.07/28.43 (42) {G3,W6,D2,L2,V1,M1} R(40,34) { convergent_lines( X, skol1 ),
% 28.07/28.43 convergent_lines( X, skol2 ) }.
% 28.07/28.43 (58) {G1,W22,D3,L6,V4,M3} R(10,8) { ! distinct_points( intersection_point(
% 28.07/28.43 X, Y ), Z ), ! distinct_lines( X, T ), ! convergent_lines( X, Y ),
% 28.07/28.43 apart_point_and_line( Z, T ), apart_point_and_line( intersection_point( X
% 28.07/28.43 , Y ), T ), apart_point_and_line( Z, X ) }.
% 28.07/28.43 (59) {G1,W22,D3,L6,V4,M3} R(10,9) { ! distinct_points( intersection_point(
% 28.07/28.43 X, Y ), Z ), ! distinct_lines( T, Y ), ! convergent_lines( X, Y ),
% 28.07/28.43 apart_point_and_line( intersection_point( X, Y ), T ),
% 28.07/28.43 apart_point_and_line( Z, T ), apart_point_and_line( Z, Y ) }.
% 28.07/28.43 (85) {G1,W8,D3,L2,V1,M1} R(11,17) { distinct_points( intersection_point(
% 28.07/28.43 skol1, skol2 ), X ), apart_point_and_line( X, skol3 ) }.
% 28.07/28.43 (104) {G1,W8,D3,L2,V1,M1} R(12,17) { distinct_lines( skol3, X ),
% 28.07/28.43 apart_point_and_line( intersection_point( skol1, skol2 ), X ) }.
% 28.07/28.43 (111) {G2,W3,D2,L1,V0,M1} R(104,9);r(14) { distinct_lines( skol3, skol2 )
% 28.07/28.43 }.
% 28.07/28.43 (114) {G3,W3,D2,L1,V0,M1} R(111,26) { distinct_lines( skol2, skol3 ) }.
% 28.07/28.43 (116) {G2,W9,D2,L3,V3,M1} R(13,26) { ! convergent_lines( X, Y ),
% 28.07/28.43 convergent_lines( X, Z ), distinct_lines( Z, Y ) }.
% 28.07/28.43 (151) {G2,W10,D3,L2,V1,M1} R(85,8) { ! convergent_lines( skol3, X ),
% 28.07/28.43 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 28.07/28.43 skol3, X ) ) }.
% 28.07/28.43 (161) {G3,W9,D2,L3,V3,M3} R(22,21) { distinct_points( Z, X ),
% 28.07/28.43 distinct_points( Z, Y ), ! distinct_points( X, Y ) }.
% 28.07/28.43 (425) {G4,W13,D3,L3,V2,M2} R(151,161) { ! convergent_lines( skol3, X ),
% 28.07/28.43 distinct_points( Y, intersection_point( skol3, X ) ), distinct_points( Y
% 28.07/28.43 , intersection_point( skol1, skol2 ) ) }.
% 28.07/28.43 (656) {G2,W14,D3,L4,V1,M1} R(58,18);r(16) { ! distinct_points(
% 28.07/28.43 intersection_point( skol1, skol3 ), X ), ! distinct_lines( skol1, skol2 )
% 28.07/28.43 , apart_point_and_line( X, skol1 ), apart_point_and_line( X, skol2 ) }.
% 28.07/28.43 (688) {G4,W14,D3,L4,V1,M1} R(59,18);r(114) { ! convergent_lines( skol1,
% 28.07/28.43 skol3 ), ! distinct_points( intersection_point( skol1, skol3 ), X ),
% 28.07/28.43 apart_point_and_line( X, skol2 ), apart_point_and_line( X, skol3 ) }.
% 28.07/28.43 (1726) {G5,W11,D3,L3,V1,M1} S(688);r(16) { ! distinct_points(
% 28.07/28.43 intersection_point( skol1, skol3 ), X ), apart_point_and_line( X, skol2 )
% 28.07/28.43 , apart_point_and_line( X, skol3 ) }.
% 28.07/28.43 (1755) {G6,W15,D3,L3,V1,M1} R(1726,8) { ! distinct_points(
% 28.07/28.43 intersection_point( skol1, skol3 ), intersection_point( skol3, X ) ), !
% 28.07/28.43 convergent_lines( skol3, X ), apart_point_and_line( intersection_point(
% 28.07/28.43 skol3, X ), skol2 ) }.
% 28.07/28.43 (1776) {G3,W18,D3,L4,V1,M1} R(656,9) { ! distinct_points(
% 28.07/28.43 intersection_point( skol1, skol3 ), intersection_point( X, skol2 ) ), !
% 28.07/28.43 distinct_lines( skol1, skol2 ), ! convergent_lines( X, skol2 ),
% 28.07/28.43 apart_point_and_line( intersection_point( X, skol2 ), skol1 ) }.
% 28.07/28.43 (1805) {G7,W7,D3,L1,V0,M1} R(1755,9);f;r(15) { ! distinct_points(
% 28.07/28.43 intersection_point( skol1, skol3 ), intersection_point( skol3, skol2 ) )
% 28.07/28.43 }.
% 28.07/28.43 (1838) {G8,W7,D3,L1,V0,M1} R(1805,425);r(15) { distinct_points(
% 28.07/28.43 intersection_point( skol1, skol3 ), intersection_point( skol1, skol2 ) )
% 28.07/28.43 }.
% 28.07/28.43 (2797) {G9,W6,D2,L2,V0,M1} R(1776,8);f;r(1838) { ! convergent_lines( skol1
% 28.07/28.43 , skol2 ), ! distinct_lines( skol1, skol2 ) }.
% 28.07/28.43 (2798) {G10,W3,D2,L1,V0,M1} S(2797);r(14) { ! distinct_lines( skol1, skol2
% 28.07/28.43 ) }.
% 28.07/28.43 (3181) {G11,W3,D2,L1,V1,M1} R(2798,116);r(42) { convergent_lines( X, skol1
% 28.07/28.43 ) }.
% 28.07/28.43 (3253) {G12,W0,D0,L0,V0,M0} R(3181,2) { }.
% 28.07/28.43
% 28.07/28.43
% 28.07/28.43 % SZS output end Refutation
% 28.07/28.43 found a proof!
% 28.07/28.43
% 28.07/28.43
% 28.07/28.43 Unprocessed initial clauses:
% 28.07/28.43
% 28.07/28.43 (3255) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 28.07/28.43 (3256) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 28.07/28.43 (3257) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 28.07/28.43 (3258) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 28.07/28.43 , Z ), distinct_points( Y, Z ) }.
% 28.07/28.43 (3259) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 28.07/28.43 Z ), distinct_lines( Y, Z ) }.
% 28.07/28.43 (3260) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 28.07/28.43 ( X, Z ), convergent_lines( Y, Z ) }.
% 28.07/28.43 (3261) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 28.07/28.43 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 28.07/28.43 (3262) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 28.07/28.43 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 28.07/28.43 (3263) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 28.07/28.43 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 28.07/28.43 (3264) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 28.07/28.43 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 28.07/28.43 (3265) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 28.07/28.43 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 28.07/28.43 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 28.07/28.43 (3266) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 28.07/28.43 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 28.07/28.43 (3267) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 28.07/28.43 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 28.07/28.43 (3268) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines( Y
% 28.07/28.43 , Z ), convergent_lines( X, Z ) }.
% 28.07/28.43 (3269) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 28.07/28.43 (3270) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol2 ) }.
% 28.07/28.43 (3271) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol3 ) }.
% 28.07/28.43 (3272) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( intersection_point(
% 28.07/28.43 skol1, skol2 ), skol3 ) }.
% 28.07/28.43 (3273) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( intersection_point(
% 28.07/28.43 skol1, skol3 ), skol2 ) }.
% 28.07/28.43
% 28.07/28.43
% 28.07/28.43 Total Proof:
% 28.07/28.43
% 28.07/28.43 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 28.07/28.43 parent0: (3255) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 0
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 28.07/28.43 parent0: (3256) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 0
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 28.07/28.43 parent0: (3257) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 0
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 28.07/28.43 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 28.07/28.43 parent0: (3258) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ),
% 28.07/28.43 distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 Y := Y
% 28.07/28.43 Z := Z
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 2
% 28.07/28.43 1 ==> 0
% 28.07/28.43 2 ==> 1
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 28.07/28.43 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 28.07/28.43 parent0: (3259) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 28.07/28.43 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 Y := Y
% 28.07/28.43 Z := Z
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 2
% 28.07/28.43 1 ==> 0
% 28.07/28.43 2 ==> 1
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 28.07/28.43 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 28.07/28.43 parent0: (3260) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 28.07/28.43 convergent_lines( X, Z ), convergent_lines( Y, Z ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 Y := Y
% 28.07/28.43 Z := Z
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 2
% 28.07/28.43 1 ==> 0
% 28.07/28.43 2 ==> 1
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 28.07/28.43 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 28.07/28.43 parent0: (3263) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 28.07/28.43 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 Y := Y
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 0
% 28.07/28.43 1 ==> 1
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 28.07/28.43 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 28.07/28.43 parent0: (3264) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 28.07/28.43 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 Y := Y
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 0
% 28.07/28.43 1 ==> 1
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 28.07/28.43 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 28.07/28.43 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 28.07/28.43 apart_point_and_line( X, Z ) }.
% 28.07/28.43 parent0: (3265) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 28.07/28.43 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 28.07/28.43 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 28.07/28.43 apart_point_and_line( Y, T ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 Y := Y
% 28.07/28.43 Z := Z
% 28.07/28.43 T := T
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 0
% 28.07/28.43 1 ==> 1
% 28.07/28.43 2 ==> 5
% 28.07/28.43 3 ==> 2
% 28.07/28.43 4 ==> 3
% 28.07/28.43 5 ==> 4
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 28.07/28.43 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 28.07/28.43 parent0: (3266) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 28.07/28.43 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 Y := Y
% 28.07/28.43 Z := Z
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 2
% 28.07/28.43 1 ==> 0
% 28.07/28.43 2 ==> 1
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 28.07/28.43 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 28.07/28.43 parent0: (3267) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 28.07/28.43 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 Y := Y
% 28.07/28.43 Z := Z
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 2
% 28.07/28.43 1 ==> 0
% 28.07/28.43 2 ==> 1
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (13) {G0,W9,D2,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 28.07/28.43 convergent_lines( X, Z ), distinct_lines( Y, Z ) }.
% 28.07/28.43 parent0: (3268) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 28.07/28.43 distinct_lines( Y, Z ), convergent_lines( X, Z ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 Y := Y
% 28.07/28.43 Z := Z
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 0
% 28.07/28.43 1 ==> 2
% 28.07/28.43 2 ==> 1
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 28.07/28.43 }.
% 28.07/28.43 parent0: (3269) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 0
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol2 )
% 28.07/28.43 }.
% 28.07/28.43 parent0: (3270) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol2 ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 0
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (16) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol3 )
% 28.07/28.43 }.
% 28.07/28.43 parent0: (3271) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol3 ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 0
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (17) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line(
% 28.07/28.43 intersection_point( skol1, skol2 ), skol3 ) }.
% 28.07/28.43 parent0: (3272) {G0,W5,D3,L1,V0,M1} { apart_point_and_line(
% 28.07/28.43 intersection_point( skol1, skol2 ), skol3 ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 0
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (18) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 28.07/28.43 intersection_point( skol1, skol3 ), skol2 ) }.
% 28.07/28.43 parent0: (3273) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line(
% 28.07/28.43 intersection_point( skol1, skol3 ), skol2 ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 0
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 resolution: (3367) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 28.07/28.43 distinct_points( X, Y ) }.
% 28.07/28.43 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 28.07/28.43 parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 28.07/28.43 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 end
% 28.07/28.43 substitution1:
% 28.07/28.43 X := X
% 28.07/28.43 Y := Y
% 28.07/28.43 Z := X
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 28.07/28.43 distinct_points( X, Y ) }.
% 28.07/28.43 parent0: (3367) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 28.07/28.43 distinct_points( X, Y ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := Y
% 28.07/28.43 Y := X
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 1
% 28.07/28.43 1 ==> 0
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 resolution: (3369) {G1,W9,D2,L3,V3,M3} { distinct_points( Y, X ),
% 28.07/28.43 distinct_points( Z, Y ), ! distinct_points( X, Z ) }.
% 28.07/28.43 parent0[0]: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 28.07/28.43 distinct_points( X, Y ) }.
% 28.07/28.43 parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 28.07/28.43 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := Y
% 28.07/28.43 Y := X
% 28.07/28.43 end
% 28.07/28.43 substitution1:
% 28.07/28.43 X := X
% 28.07/28.43 Y := Z
% 28.07/28.43 Z := Y
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (22) {G2,W9,D2,L3,V3,M3} R(21,3) { distinct_points( Z, X ), !
% 28.07/28.43 distinct_points( Y, Z ), distinct_points( X, Y ) }.
% 28.07/28.43 parent0: (3369) {G1,W9,D2,L3,V3,M3} { distinct_points( Y, X ),
% 28.07/28.43 distinct_points( Z, Y ), ! distinct_points( X, Z ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := Y
% 28.07/28.43 Y := X
% 28.07/28.43 Z := Z
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 2
% 28.07/28.43 1 ==> 0
% 28.07/28.43 2 ==> 1
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 resolution: (3372) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 28.07/28.43 distinct_lines( X, Y ) }.
% 28.07/28.43 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 28.07/28.43 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 28.07/28.43 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 end
% 28.07/28.43 substitution1:
% 28.07/28.43 X := X
% 28.07/28.43 Y := Y
% 28.07/28.43 Z := X
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (26) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 28.07/28.43 distinct_lines( X, Y ) }.
% 28.07/28.43 parent0: (3372) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 28.07/28.43 distinct_lines( X, Y ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := Y
% 28.07/28.43 Y := X
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 1
% 28.07/28.43 1 ==> 0
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 resolution: (3374) {G1,W6,D2,L2,V1,M2} { convergent_lines( skol1, X ),
% 28.07/28.43 convergent_lines( skol2, X ) }.
% 28.07/28.43 parent0[2]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 28.07/28.43 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 28.07/28.43 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 28.07/28.43 }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := skol1
% 28.07/28.43 Y := skol2
% 28.07/28.43 Z := X
% 28.07/28.43 end
% 28.07/28.43 substitution1:
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (31) {G1,W6,D2,L2,V1,M1} R(5,14) { convergent_lines( skol1, X
% 28.07/28.43 ), convergent_lines( skol2, X ) }.
% 28.07/28.43 parent0: (3374) {G1,W6,D2,L2,V1,M2} { convergent_lines( skol1, X ),
% 28.07/28.43 convergent_lines( skol2, X ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 0
% 28.07/28.43 1 ==> 1
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 resolution: (3375) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 28.07/28.43 convergent_lines( X, Y ) }.
% 28.07/28.43 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 28.07/28.43 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 28.07/28.43 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 end
% 28.07/28.43 substitution1:
% 28.07/28.43 X := X
% 28.07/28.43 Y := Y
% 28.07/28.43 Z := X
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (34) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 28.07/28.43 convergent_lines( X, Y ) }.
% 28.07/28.43 parent0: (3375) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 28.07/28.43 convergent_lines( X, Y ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := Y
% 28.07/28.43 Y := X
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 1
% 28.07/28.43 1 ==> 0
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 resolution: (3378) {G2,W6,D2,L2,V1,M2} { convergent_lines( X, skol2 ),
% 28.07/28.43 convergent_lines( skol1, X ) }.
% 28.07/28.43 parent0[0]: (34) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 28.07/28.43 convergent_lines( X, Y ) }.
% 28.07/28.43 parent1[1]: (31) {G1,W6,D2,L2,V1,M1} R(5,14) { convergent_lines( skol1, X )
% 28.07/28.43 , convergent_lines( skol2, X ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 Y := skol2
% 28.07/28.43 end
% 28.07/28.43 substitution1:
% 28.07/28.43 X := X
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (40) {G2,W6,D2,L2,V1,M2} R(31,34) { convergent_lines( X, skol2
% 28.07/28.43 ), convergent_lines( skol1, X ) }.
% 28.07/28.43 parent0: (3378) {G2,W6,D2,L2,V1,M2} { convergent_lines( X, skol2 ),
% 28.07/28.43 convergent_lines( skol1, X ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 0
% 28.07/28.43 1 ==> 1
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 resolution: (3380) {G2,W6,D2,L2,V1,M2} { convergent_lines( X, skol1 ),
% 28.07/28.43 convergent_lines( X, skol2 ) }.
% 28.07/28.43 parent0[0]: (34) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 28.07/28.43 convergent_lines( X, Y ) }.
% 28.07/28.43 parent1[1]: (40) {G2,W6,D2,L2,V1,M2} R(31,34) { convergent_lines( X, skol2
% 28.07/28.43 ), convergent_lines( skol1, X ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 Y := skol1
% 28.07/28.43 end
% 28.07/28.43 substitution1:
% 28.07/28.43 X := X
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (42) {G3,W6,D2,L2,V1,M1} R(40,34) { convergent_lines( X, skol1
% 28.07/28.43 ), convergent_lines( X, skol2 ) }.
% 28.07/28.43 parent0: (3380) {G2,W6,D2,L2,V1,M2} { convergent_lines( X, skol1 ),
% 28.07/28.43 convergent_lines( X, skol2 ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 0
% 28.07/28.43 1 ==> 1
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 resolution: (3384) {G1,W22,D3,L6,V4,M6} { ! convergent_lines( X, Y ), !
% 28.07/28.43 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( X, T
% 28.07/28.43 ), apart_point_and_line( intersection_point( X, Y ), T ),
% 28.07/28.43 apart_point_and_line( Z, X ), apart_point_and_line( Z, T ) }.
% 28.07/28.43 parent0[1]: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 28.07/28.43 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 28.07/28.43 parent1[5]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 28.07/28.43 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 28.07/28.43 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 28.07/28.43 apart_point_and_line( X, Z ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 Y := Y
% 28.07/28.43 end
% 28.07/28.43 substitution1:
% 28.07/28.43 X := intersection_point( X, Y )
% 28.07/28.43 Y := Z
% 28.07/28.43 Z := X
% 28.07/28.43 T := T
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (58) {G1,W22,D3,L6,V4,M3} R(10,8) { ! distinct_points(
% 28.07/28.43 intersection_point( X, Y ), Z ), ! distinct_lines( X, T ), !
% 28.07/28.43 convergent_lines( X, Y ), apart_point_and_line( Z, T ),
% 28.07/28.43 apart_point_and_line( intersection_point( X, Y ), T ),
% 28.07/28.43 apart_point_and_line( Z, X ) }.
% 28.07/28.43 parent0: (3384) {G1,W22,D3,L6,V4,M6} { ! convergent_lines( X, Y ), !
% 28.07/28.43 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( X, T
% 28.07/28.43 ), apart_point_and_line( intersection_point( X, Y ), T ),
% 28.07/28.43 apart_point_and_line( Z, X ), apart_point_and_line( Z, T ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 Y := Y
% 28.07/28.43 Z := Z
% 28.07/28.43 T := T
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 2
% 28.07/28.43 1 ==> 0
% 28.07/28.43 2 ==> 1
% 28.07/28.43 3 ==> 4
% 28.07/28.43 4 ==> 5
% 28.07/28.43 5 ==> 3
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 resolution: (3390) {G1,W22,D3,L6,V4,M6} { ! convergent_lines( X, Y ), !
% 28.07/28.43 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( T, Y
% 28.07/28.43 ), apart_point_and_line( Z, T ), apart_point_and_line( Z, Y ),
% 28.07/28.43 apart_point_and_line( intersection_point( X, Y ), T ) }.
% 28.07/28.43 parent0[1]: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 28.07/28.43 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 28.07/28.43 parent1[2]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 28.07/28.43 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 28.07/28.43 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 28.07/28.43 apart_point_and_line( X, Z ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 Y := Y
% 28.07/28.43 end
% 28.07/28.43 substitution1:
% 28.07/28.43 X := intersection_point( X, Y )
% 28.07/28.43 Y := Z
% 28.07/28.43 Z := T
% 28.07/28.43 T := Y
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (59) {G1,W22,D3,L6,V4,M3} R(10,9) { ! distinct_points(
% 28.07/28.43 intersection_point( X, Y ), Z ), ! distinct_lines( T, Y ), !
% 28.07/28.43 convergent_lines( X, Y ), apart_point_and_line( intersection_point( X, Y
% 28.07/28.43 ), T ), apart_point_and_line( Z, T ), apart_point_and_line( Z, Y ) }.
% 28.07/28.43 parent0: (3390) {G1,W22,D3,L6,V4,M6} { ! convergent_lines( X, Y ), !
% 28.07/28.43 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( T, Y
% 28.07/28.43 ), apart_point_and_line( Z, T ), apart_point_and_line( Z, Y ),
% 28.07/28.43 apart_point_and_line( intersection_point( X, Y ), T ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 Y := Y
% 28.07/28.43 Z := Z
% 28.07/28.43 T := T
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 2
% 28.07/28.43 1 ==> 0
% 28.07/28.43 2 ==> 1
% 28.07/28.43 3 ==> 4
% 28.07/28.43 4 ==> 5
% 28.07/28.43 5 ==> 3
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 resolution: (3399) {G1,W8,D3,L2,V1,M2} { distinct_points(
% 28.07/28.43 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol3 )
% 28.07/28.43 }.
% 28.07/28.43 parent0[2]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 28.07/28.43 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 28.07/28.43 parent1[0]: (17) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line(
% 28.07/28.43 intersection_point( skol1, skol2 ), skol3 ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := intersection_point( skol1, skol2 )
% 28.07/28.43 Y := skol3
% 28.07/28.43 Z := X
% 28.07/28.43 end
% 28.07/28.43 substitution1:
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (85) {G1,W8,D3,L2,V1,M1} R(11,17) { distinct_points(
% 28.07/28.43 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol3 )
% 28.07/28.43 }.
% 28.07/28.43 parent0: (3399) {G1,W8,D3,L2,V1,M2} { distinct_points( intersection_point
% 28.07/28.43 ( skol1, skol2 ), X ), apart_point_and_line( X, skol3 ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 0
% 28.07/28.43 1 ==> 1
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 resolution: (3400) {G1,W8,D3,L2,V1,M2} { distinct_lines( skol3, X ),
% 28.07/28.43 apart_point_and_line( intersection_point( skol1, skol2 ), X ) }.
% 28.07/28.43 parent0[2]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 28.07/28.43 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 28.07/28.43 parent1[0]: (17) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line(
% 28.07/28.43 intersection_point( skol1, skol2 ), skol3 ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := intersection_point( skol1, skol2 )
% 28.07/28.43 Y := skol3
% 28.07/28.43 Z := X
% 28.07/28.43 end
% 28.07/28.43 substitution1:
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (104) {G1,W8,D3,L2,V1,M1} R(12,17) { distinct_lines( skol3, X
% 28.07/28.43 ), apart_point_and_line( intersection_point( skol1, skol2 ), X ) }.
% 28.07/28.43 parent0: (3400) {G1,W8,D3,L2,V1,M2} { distinct_lines( skol3, X ),
% 28.07/28.43 apart_point_and_line( intersection_point( skol1, skol2 ), X ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 0
% 28.07/28.43 1 ==> 1
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 resolution: (3401) {G1,W6,D2,L2,V0,M2} { ! convergent_lines( skol1, skol2
% 28.07/28.43 ), distinct_lines( skol3, skol2 ) }.
% 28.07/28.43 parent0[1]: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 28.07/28.43 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 28.07/28.43 parent1[1]: (104) {G1,W8,D3,L2,V1,M1} R(12,17) { distinct_lines( skol3, X )
% 28.07/28.43 , apart_point_and_line( intersection_point( skol1, skol2 ), X ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := skol1
% 28.07/28.43 Y := skol2
% 28.07/28.43 end
% 28.07/28.43 substitution1:
% 28.07/28.43 X := skol2
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 resolution: (3402) {G1,W3,D2,L1,V0,M1} { distinct_lines( skol3, skol2 )
% 28.07/28.43 }.
% 28.07/28.43 parent0[0]: (3401) {G1,W6,D2,L2,V0,M2} { ! convergent_lines( skol1, skol2
% 28.07/28.43 ), distinct_lines( skol3, skol2 ) }.
% 28.07/28.43 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 28.07/28.43 }.
% 28.07/28.43 substitution0:
% 28.07/28.43 end
% 28.07/28.43 substitution1:
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (111) {G2,W3,D2,L1,V0,M1} R(104,9);r(14) { distinct_lines(
% 28.07/28.43 skol3, skol2 ) }.
% 28.07/28.43 parent0: (3402) {G1,W3,D2,L1,V0,M1} { distinct_lines( skol3, skol2 ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 0
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 resolution: (3403) {G2,W3,D2,L1,V0,M1} { distinct_lines( skol2, skol3 )
% 28.07/28.43 }.
% 28.07/28.43 parent0[0]: (26) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 28.07/28.43 distinct_lines( X, Y ) }.
% 28.07/28.43 parent1[0]: (111) {G2,W3,D2,L1,V0,M1} R(104,9);r(14) { distinct_lines(
% 28.07/28.43 skol3, skol2 ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := skol2
% 28.07/28.43 Y := skol3
% 28.07/28.43 end
% 28.07/28.43 substitution1:
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (114) {G3,W3,D2,L1,V0,M1} R(111,26) { distinct_lines( skol2,
% 28.07/28.43 skol3 ) }.
% 28.07/28.43 parent0: (3403) {G2,W3,D2,L1,V0,M1} { distinct_lines( skol2, skol3 ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 0
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 resolution: (3404) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ), !
% 28.07/28.43 convergent_lines( Z, X ), convergent_lines( Z, Y ) }.
% 28.07/28.43 parent0[0]: (26) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 28.07/28.43 distinct_lines( X, Y ) }.
% 28.07/28.43 parent1[2]: (13) {G0,W9,D2,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 28.07/28.43 convergent_lines( X, Z ), distinct_lines( Y, Z ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := Y
% 28.07/28.43 Y := X
% 28.07/28.43 end
% 28.07/28.43 substitution1:
% 28.07/28.43 X := Z
% 28.07/28.43 Y := X
% 28.07/28.43 Z := Y
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (116) {G2,W9,D2,L3,V3,M1} R(13,26) { ! convergent_lines( X, Y
% 28.07/28.43 ), convergent_lines( X, Z ), distinct_lines( Z, Y ) }.
% 28.07/28.43 parent0: (3404) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ), !
% 28.07/28.43 convergent_lines( Z, X ), convergent_lines( Z, Y ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := Y
% 28.07/28.43 Y := Z
% 28.07/28.43 Z := X
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 2
% 28.07/28.43 1 ==> 0
% 28.07/28.43 2 ==> 1
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 resolution: (3405) {G1,W10,D3,L2,V1,M2} { ! convergent_lines( skol3, X ),
% 28.07/28.43 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 28.07/28.43 skol3, X ) ) }.
% 28.07/28.43 parent0[1]: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 28.07/28.43 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 28.07/28.43 parent1[1]: (85) {G1,W8,D3,L2,V1,M1} R(11,17) { distinct_points(
% 28.07/28.43 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol3 )
% 28.07/28.43 }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := skol3
% 28.07/28.43 Y := X
% 28.07/28.43 end
% 28.07/28.43 substitution1:
% 28.07/28.43 X := intersection_point( skol3, X )
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (151) {G2,W10,D3,L2,V1,M1} R(85,8) { ! convergent_lines( skol3
% 28.07/28.43 , X ), distinct_points( intersection_point( skol1, skol2 ),
% 28.07/28.43 intersection_point( skol3, X ) ) }.
% 28.07/28.43 parent0: (3405) {G1,W10,D3,L2,V1,M2} { ! convergent_lines( skol3, X ),
% 28.07/28.43 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 28.07/28.43 skol3, X ) ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 0
% 28.07/28.43 1 ==> 1
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 resolution: (3408) {G2,W9,D2,L3,V3,M3} { distinct_points( Y, X ), !
% 28.07/28.43 distinct_points( Z, X ), distinct_points( Y, Z ) }.
% 28.07/28.43 parent0[0]: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 28.07/28.43 distinct_points( X, Y ) }.
% 28.07/28.43 parent1[0]: (22) {G2,W9,D2,L3,V3,M3} R(21,3) { distinct_points( Z, X ), !
% 28.07/28.43 distinct_points( Y, Z ), distinct_points( X, Y ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := Y
% 28.07/28.43 Y := X
% 28.07/28.43 end
% 28.07/28.43 substitution1:
% 28.07/28.43 X := Y
% 28.07/28.43 Y := Z
% 28.07/28.43 Z := X
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (161) {G3,W9,D2,L3,V3,M3} R(22,21) { distinct_points( Z, X ),
% 28.07/28.43 distinct_points( Z, Y ), ! distinct_points( X, Y ) }.
% 28.07/28.43 parent0: (3408) {G2,W9,D2,L3,V3,M3} { distinct_points( Y, X ), !
% 28.07/28.43 distinct_points( Z, X ), distinct_points( Y, Z ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := Y
% 28.07/28.43 Y := Z
% 28.07/28.43 Z := X
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 1
% 28.07/28.43 1 ==> 2
% 28.07/28.43 2 ==> 0
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 resolution: (3412) {G3,W13,D3,L3,V2,M3} { distinct_points( X,
% 28.07/28.43 intersection_point( skol1, skol2 ) ), distinct_points( X,
% 28.07/28.43 intersection_point( skol3, Y ) ), ! convergent_lines( skol3, Y ) }.
% 28.07/28.43 parent0[2]: (161) {G3,W9,D2,L3,V3,M3} R(22,21) { distinct_points( Z, X ),
% 28.07/28.43 distinct_points( Z, Y ), ! distinct_points( X, Y ) }.
% 28.07/28.43 parent1[1]: (151) {G2,W10,D3,L2,V1,M1} R(85,8) { ! convergent_lines( skol3
% 28.07/28.43 , X ), distinct_points( intersection_point( skol1, skol2 ),
% 28.07/28.43 intersection_point( skol3, X ) ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := intersection_point( skol1, skol2 )
% 28.07/28.43 Y := intersection_point( skol3, Y )
% 28.07/28.43 Z := X
% 28.07/28.43 end
% 28.07/28.43 substitution1:
% 28.07/28.43 X := Y
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (425) {G4,W13,D3,L3,V2,M2} R(151,161) { ! convergent_lines(
% 28.07/28.43 skol3, X ), distinct_points( Y, intersection_point( skol3, X ) ),
% 28.07/28.43 distinct_points( Y, intersection_point( skol1, skol2 ) ) }.
% 28.07/28.43 parent0: (3412) {G3,W13,D3,L3,V2,M3} { distinct_points( X,
% 28.07/28.43 intersection_point( skol1, skol2 ) ), distinct_points( X,
% 28.07/28.43 intersection_point( skol3, Y ) ), ! convergent_lines( skol3, Y ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := Y
% 28.07/28.43 Y := X
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 2
% 28.07/28.43 1 ==> 1
% 28.07/28.43 2 ==> 0
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 resolution: (3414) {G1,W17,D3,L5,V1,M5} { ! distinct_points(
% 28.07/28.43 intersection_point( skol1, skol3 ), X ), ! distinct_lines( skol1, skol2 )
% 28.07/28.43 , ! convergent_lines( skol1, skol3 ), apart_point_and_line( X, skol2 ),
% 28.07/28.43 apart_point_and_line( X, skol1 ) }.
% 28.07/28.43 parent0[0]: (18) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 28.07/28.43 intersection_point( skol1, skol3 ), skol2 ) }.
% 28.07/28.43 parent1[4]: (58) {G1,W22,D3,L6,V4,M3} R(10,8) { ! distinct_points(
% 28.07/28.43 intersection_point( X, Y ), Z ), ! distinct_lines( X, T ), !
% 28.07/28.43 convergent_lines( X, Y ), apart_point_and_line( Z, T ),
% 28.07/28.43 apart_point_and_line( intersection_point( X, Y ), T ),
% 28.07/28.43 apart_point_and_line( Z, X ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 end
% 28.07/28.43 substitution1:
% 28.07/28.43 X := skol1
% 28.07/28.43 Y := skol3
% 28.07/28.43 Z := X
% 28.07/28.43 T := skol2
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 resolution: (3416) {G1,W14,D3,L4,V1,M4} { ! distinct_points(
% 28.07/28.43 intersection_point( skol1, skol3 ), X ), ! distinct_lines( skol1, skol2 )
% 28.07/28.43 , apart_point_and_line( X, skol2 ), apart_point_and_line( X, skol1 ) }.
% 28.07/28.43 parent0[2]: (3414) {G1,W17,D3,L5,V1,M5} { ! distinct_points(
% 28.07/28.43 intersection_point( skol1, skol3 ), X ), ! distinct_lines( skol1, skol2 )
% 28.07/28.43 , ! convergent_lines( skol1, skol3 ), apart_point_and_line( X, skol2 ),
% 28.07/28.43 apart_point_and_line( X, skol1 ) }.
% 28.07/28.43 parent1[0]: (16) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol3 )
% 28.07/28.43 }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 end
% 28.07/28.43 substitution1:
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (656) {G2,W14,D3,L4,V1,M1} R(58,18);r(16) { ! distinct_points
% 28.07/28.43 ( intersection_point( skol1, skol3 ), X ), ! distinct_lines( skol1, skol2
% 28.07/28.43 ), apart_point_and_line( X, skol1 ), apart_point_and_line( X, skol2 )
% 28.07/28.43 }.
% 28.07/28.43 parent0: (3416) {G1,W14,D3,L4,V1,M4} { ! distinct_points(
% 28.07/28.43 intersection_point( skol1, skol3 ), X ), ! distinct_lines( skol1, skol2 )
% 28.07/28.43 , apart_point_and_line( X, skol2 ), apart_point_and_line( X, skol1 ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 0
% 28.07/28.43 1 ==> 1
% 28.07/28.43 2 ==> 3
% 28.07/28.43 3 ==> 2
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 resolution: (3417) {G1,W17,D3,L5,V1,M5} { ! distinct_points(
% 28.07/28.43 intersection_point( skol1, skol3 ), X ), ! distinct_lines( skol2, skol3 )
% 28.07/28.43 , ! convergent_lines( skol1, skol3 ), apart_point_and_line( X, skol2 ),
% 28.07/28.43 apart_point_and_line( X, skol3 ) }.
% 28.07/28.43 parent0[0]: (18) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 28.07/28.43 intersection_point( skol1, skol3 ), skol2 ) }.
% 28.07/28.43 parent1[3]: (59) {G1,W22,D3,L6,V4,M3} R(10,9) { ! distinct_points(
% 28.07/28.43 intersection_point( X, Y ), Z ), ! distinct_lines( T, Y ), !
% 28.07/28.43 convergent_lines( X, Y ), apart_point_and_line( intersection_point( X, Y
% 28.07/28.43 ), T ), apart_point_and_line( Z, T ), apart_point_and_line( Z, Y ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 end
% 28.07/28.43 substitution1:
% 28.07/28.43 X := skol1
% 28.07/28.43 Y := skol3
% 28.07/28.43 Z := X
% 28.07/28.43 T := skol2
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 resolution: (3420) {G2,W14,D3,L4,V1,M4} { ! distinct_points(
% 28.07/28.43 intersection_point( skol1, skol3 ), X ), ! convergent_lines( skol1, skol3
% 28.07/28.43 ), apart_point_and_line( X, skol2 ), apart_point_and_line( X, skol3 )
% 28.07/28.43 }.
% 28.07/28.43 parent0[1]: (3417) {G1,W17,D3,L5,V1,M5} { ! distinct_points(
% 28.07/28.43 intersection_point( skol1, skol3 ), X ), ! distinct_lines( skol2, skol3 )
% 28.07/28.43 , ! convergent_lines( skol1, skol3 ), apart_point_and_line( X, skol2 ),
% 28.07/28.43 apart_point_and_line( X, skol3 ) }.
% 28.07/28.43 parent1[0]: (114) {G3,W3,D2,L1,V0,M1} R(111,26) { distinct_lines( skol2,
% 28.07/28.43 skol3 ) }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 end
% 28.07/28.43 substitution1:
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (688) {G4,W14,D3,L4,V1,M1} R(59,18);r(114) { !
% 28.07/28.43 convergent_lines( skol1, skol3 ), ! distinct_points( intersection_point(
% 28.07/28.43 skol1, skol3 ), X ), apart_point_and_line( X, skol2 ),
% 28.07/28.43 apart_point_and_line( X, skol3 ) }.
% 28.07/28.43 parent0: (3420) {G2,W14,D3,L4,V1,M4} { ! distinct_points(
% 28.07/28.43 intersection_point( skol1, skol3 ), X ), ! convergent_lines( skol1, skol3
% 28.07/28.43 ), apart_point_and_line( X, skol2 ), apart_point_and_line( X, skol3 )
% 28.07/28.43 }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 end
% 28.07/28.43 permutation0:
% 28.07/28.43 0 ==> 1
% 28.07/28.43 1 ==> 0
% 28.07/28.43 2 ==> 2
% 28.07/28.43 3 ==> 3
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 resolution: (3421) {G1,W11,D3,L3,V1,M3} { ! distinct_points(
% 28.07/28.43 intersection_point( skol1, skol3 ), X ), apart_point_and_line( X, skol2 )
% 28.07/28.43 , apart_point_and_line( X, skol3 ) }.
% 28.07/28.43 parent0[0]: (688) {G4,W14,D3,L4,V1,M1} R(59,18);r(114) { ! convergent_lines
% 28.07/28.43 ( skol1, skol3 ), ! distinct_points( intersection_point( skol1, skol3 ),
% 28.07/28.43 X ), apart_point_and_line( X, skol2 ), apart_point_and_line( X, skol3 )
% 28.07/28.43 }.
% 28.07/28.43 parent1[0]: (16) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol3 )
% 28.07/28.43 }.
% 28.07/28.43 substitution0:
% 28.07/28.43 X := X
% 28.07/28.43 end
% 28.07/28.43 substitution1:
% 28.07/28.43 end
% 28.07/28.43
% 28.07/28.43 subsumption: (1726) {G5,W11,D3,L3,V1,M1} S(688);r(16) { ! distinct_points(
% 28.07/28.43 intersection_point( skol1, skol3 ), X ), apart_point_and_line( X, skol2 )
% 28.07/28.44 , apart_point_and_line( X, skol3 ) }.
% 28.07/28.44 parent0: (3421) {G1,W11,D3,L3,V1,M3} { ! distinct_points(
% 28.07/28.44 intersection_point( skol1, skol3 ), X ), apart_point_and_line( X, skol2 )
% 28.07/28.44 , apart_point_and_line( X, skol3 ) }.
% 28.07/28.44 substitution0:
% 28.07/28.44 X := X
% 28.07/28.44 end
% 28.07/28.44 permutation0:
% 28.07/28.44 0 ==> 0
% 28.07/28.44 1 ==> 1
% 28.07/28.44 2 ==> 2
% 28.07/28.44 end
% 28.07/28.44
% 28.07/28.44 resolution: (3423) {G1,W15,D3,L3,V1,M3} { ! convergent_lines( skol3, X ),
% 28.07/28.44 ! distinct_points( intersection_point( skol1, skol3 ), intersection_point
% 28.07/28.44 ( skol3, X ) ), apart_point_and_line( intersection_point( skol3, X ),
% 28.07/28.44 skol2 ) }.
% 28.07/28.44 parent0[1]: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 28.07/28.44 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 28.07/28.44 parent1[2]: (1726) {G5,W11,D3,L3,V1,M1} S(688);r(16) { ! distinct_points(
% 28.07/28.44 intersection_point( skol1, skol3 ), X ), apart_point_and_line( X, skol2 )
% 28.07/28.44 , apart_point_and_line( X, skol3 ) }.
% 28.07/28.44 substitution0:
% 28.07/28.44 X := skol3
% 28.07/28.44 Y := X
% 28.07/28.44 end
% 28.07/28.44 substitution1:
% 28.07/28.44 X := intersection_point( skol3, X )
% 28.07/28.44 end
% 28.07/28.44
% 28.07/28.44 subsumption: (1755) {G6,W15,D3,L3,V1,M1} R(1726,8) { ! distinct_points(
% 28.07/28.44 intersection_point( skol1, skol3 ), intersection_point( skol3, X ) ), !
% 28.07/28.44 convergent_lines( skol3, X ), apart_point_and_line( intersection_point(
% 28.07/28.44 skol3, X ), skol2 ) }.
% 28.07/28.44 parent0: (3423) {G1,W15,D3,L3,V1,M3} { ! convergent_lines( skol3, X ), !
% 28.07/28.44 distinct_points( intersection_point( skol1, skol3 ), intersection_point(
% 28.07/28.44 skol3, X ) ), apart_point_and_line( intersection_point( skol3, X ), skol2
% 28.07/28.44 ) }.
% 28.07/28.44 substitution0:
% 28.07/28.44 X := X
% 28.07/28.44 end
% 28.07/28.44 permutation0:
% 28.07/28.44 0 ==> 1
% 28.07/28.44 1 ==> 0
% 28.07/28.44 2 ==> 2
% 28.07/28.44 end
% 28.07/28.44
% 28.07/28.44 resolution: (3425) {G1,W18,D3,L4,V1,M4} { ! convergent_lines( X, skol2 ),
% 28.07/28.44 ! distinct_points( intersection_point( skol1, skol3 ), intersection_point
% 28.07/28.44 ( X, skol2 ) ), ! distinct_lines( skol1, skol2 ), apart_point_and_line(
% 28.07/28.44 intersection_point( X, skol2 ), skol1 ) }.
% 28.07/28.44 parent0[1]: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 28.07/28.44 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 28.07/28.44 parent1[3]: (656) {G2,W14,D3,L4,V1,M1} R(58,18);r(16) { ! distinct_points(
% 28.07/28.44 intersection_point( skol1, skol3 ), X ), ! distinct_lines( skol1, skol2 )
% 28.07/28.44 , apart_point_and_line( X, skol1 ), apart_point_and_line( X, skol2 ) }.
% 28.07/28.44 substitution0:
% 28.07/28.44 X := X
% 28.07/28.44 Y := skol2
% 28.07/28.44 end
% 28.07/28.44 substitution1:
% 28.07/28.44 X := intersection_point( X, skol2 )
% 28.07/28.44 end
% 28.07/28.44
% 28.07/28.44 subsumption: (1776) {G3,W18,D3,L4,V1,M1} R(656,9) { ! distinct_points(
% 28.07/28.44 intersection_point( skol1, skol3 ), intersection_point( X, skol2 ) ), !
% 28.07/28.44 distinct_lines( skol1, skol2 ), ! convergent_lines( X, skol2 ),
% 28.07/28.44 apart_point_and_line( intersection_point( X, skol2 ), skol1 ) }.
% 28.07/28.44 parent0: (3425) {G1,W18,D3,L4,V1,M4} { ! convergent_lines( X, skol2 ), !
% 28.07/28.44 distinct_points( intersection_point( skol1, skol3 ), intersection_point(
% 28.07/28.44 X, skol2 ) ), ! distinct_lines( skol1, skol2 ), apart_point_and_line(
% 28.07/28.44 intersection_point( X, skol2 ), skol1 ) }.
% 28.07/28.44 substitution0:
% 28.07/28.44 X := X
% 28.07/28.44 end
% 28.07/28.44 permutation0:
% 28.07/28.44 0 ==> 2
% 28.07/28.44 1 ==> 0
% 28.07/28.44 2 ==> 1
% 28.07/28.44 3 ==> 3
% 28.07/28.44 end
% 28.07/28.44
% 28.07/28.44 resolution: (3426) {G1,W13,D3,L3,V0,M3} { ! convergent_lines( skol3, skol2
% 28.07/28.44 ), ! distinct_points( intersection_point( skol1, skol3 ),
% 28.07/28.44 intersection_point( skol3, skol2 ) ), ! convergent_lines( skol3, skol2 )
% 28.07/28.44 }.
% 28.07/28.44 parent0[1]: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 28.07/28.44 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 28.07/28.44 parent1[2]: (1755) {G6,W15,D3,L3,V1,M1} R(1726,8) { ! distinct_points(
% 28.07/28.44 intersection_point( skol1, skol3 ), intersection_point( skol3, X ) ), !
% 28.07/28.44 convergent_lines( skol3, X ), apart_point_and_line( intersection_point(
% 28.07/28.44 skol3, X ), skol2 ) }.
% 28.07/28.44 substitution0:
% 28.07/28.44 X := skol3
% 28.07/28.44 Y := skol2
% 28.07/28.44 end
% 28.07/28.44 substitution1:
% 28.07/28.44 X := skol2
% 28.07/28.44 end
% 28.07/28.44
% 28.07/28.44 factor: (3427) {G1,W10,D3,L2,V0,M2} { ! convergent_lines( skol3, skol2 ),
% 28.07/28.44 ! distinct_points( intersection_point( skol1, skol3 ), intersection_point
% 28.07/28.44 ( skol3, skol2 ) ) }.
% 28.07/28.44 parent0[0, 2]: (3426) {G1,W13,D3,L3,V0,M3} { ! convergent_lines( skol3,
% 28.07/28.44 skol2 ), ! distinct_points( intersection_point( skol1, skol3 ),
% 28.07/28.44 intersection_point( skol3, skol2 ) ), ! convergent_lines( skol3, skol2 )
% 28.07/28.44 }.
% 28.07/28.44 substitution0:
% 28.07/28.44 end
% 28.07/28.44
% 28.07/28.44 resolution: (3429) {G1,W7,D3,L1,V0,M1} { ! distinct_points(
% 28.07/28.44 intersection_point( skol1, skol3 ), intersection_point( skol3, skol2 ) )
% 28.07/28.44 }.
% 28.07/28.44 parent0[0]: (3427) {G1,W10,D3,L2,V0,M2} { ! convergent_lines( skol3, skol2
% 28.07/28.44 ), ! distinct_points( intersection_point( skol1, skol3 ),
% 28.07/28.44 intersection_point( skol3, skol2 ) ) }.
% 28.07/28.44 parent1[0]: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol2 )
% 28.07/28.44 }.
% 28.07/28.44 substitution0:
% 28.07/28.44 end
% 28.07/28.44 substitution1:
% 28.07/28.44 end
% 28.07/28.44
% 28.07/28.44 subsumption: (1805) {G7,W7,D3,L1,V0,M1} R(1755,9);f;r(15) { !
% 28.07/28.44 distinct_points( intersection_point( skol1, skol3 ), intersection_point(
% 28.07/28.44 skol3, skol2 ) ) }.
% 28.07/28.44 parent0: (3429) {G1,W7,D3,L1,V0,M1} { ! distinct_points(
% 28.07/28.44 intersection_point( skol1, skol3 ), intersection_point( skol3, skol2 ) )
% 28.07/28.44 }.
% 28.07/28.44 substitution0:
% 28.07/28.44 end
% 28.07/28.44 permutation0:
% 28.07/28.44 0 ==> 0
% 28.07/28.44 end
% 28.07/28.44
% 28.07/28.44 resolution: (3430) {G5,W10,D3,L2,V0,M2} { ! convergent_lines( skol3, skol2
% 28.07/28.44 ), distinct_points( intersection_point( skol1, skol3 ),
% 28.07/28.44 intersection_point( skol1, skol2 ) ) }.
% 28.07/28.44 parent0[0]: (1805) {G7,W7,D3,L1,V0,M1} R(1755,9);f;r(15) { !
% 28.07/28.44 distinct_points( intersection_point( skol1, skol3 ), intersection_point(
% 28.07/28.44 skol3, skol2 ) ) }.
% 28.07/28.44 parent1[1]: (425) {G4,W13,D3,L3,V2,M2} R(151,161) { ! convergent_lines(
% 28.07/28.44 skol3, X ), distinct_points( Y, intersection_point( skol3, X ) ),
% 28.07/28.44 distinct_points( Y, intersection_point( skol1, skol2 ) ) }.
% 28.07/28.44 substitution0:
% 28.07/28.44 end
% 28.07/28.44 substitution1:
% 28.07/28.44 X := skol2
% 28.07/28.44 Y := intersection_point( skol1, skol3 )
% 28.07/28.44 end
% 28.07/28.44
% 28.07/28.44 resolution: (3431) {G1,W7,D3,L1,V0,M1} { distinct_points(
% 28.07/28.44 intersection_point( skol1, skol3 ), intersection_point( skol1, skol2 ) )
% 28.07/28.44 }.
% 28.07/28.44 parent0[0]: (3430) {G5,W10,D3,L2,V0,M2} { ! convergent_lines( skol3, skol2
% 28.07/28.44 ), distinct_points( intersection_point( skol1, skol3 ),
% 28.07/28.44 intersection_point( skol1, skol2 ) ) }.
% 28.07/28.44 parent1[0]: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol2 )
% 28.07/28.44 }.
% 28.07/28.44 substitution0:
% 28.07/28.44 end
% 28.07/28.44 substitution1:
% 28.07/28.44 end
% 28.07/28.44
% 28.07/28.44 subsumption: (1838) {G8,W7,D3,L1,V0,M1} R(1805,425);r(15) { distinct_points
% 28.07/28.44 ( intersection_point( skol1, skol3 ), intersection_point( skol1, skol2 )
% 28.07/28.44 ) }.
% 28.07/28.44 parent0: (3431) {G1,W7,D3,L1,V0,M1} { distinct_points( intersection_point
% 28.07/28.44 ( skol1, skol3 ), intersection_point( skol1, skol2 ) ) }.
% 28.07/28.44 substitution0:
% 28.07/28.44 end
% 28.07/28.44 permutation0:
% 28.07/28.44 0 ==> 0
% 28.07/28.44 end
% 28.07/28.44
% 28.07/28.44 resolution: (3432) {G1,W16,D3,L4,V0,M4} { ! convergent_lines( skol1, skol2
% 28.07/28.44 ), ! distinct_points( intersection_point( skol1, skol3 ),
% 28.07/28.44 intersection_point( skol1, skol2 ) ), ! distinct_lines( skol1, skol2 ), !
% 28.07/28.44 convergent_lines( skol1, skol2 ) }.
% 28.07/28.44 parent0[1]: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 28.07/28.44 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 28.07/28.44 parent1[3]: (1776) {G3,W18,D3,L4,V1,M1} R(656,9) { ! distinct_points(
% 28.07/28.44 intersection_point( skol1, skol3 ), intersection_point( X, skol2 ) ), !
% 28.07/28.44 distinct_lines( skol1, skol2 ), ! convergent_lines( X, skol2 ),
% 28.07/28.44 apart_point_and_line( intersection_point( X, skol2 ), skol1 ) }.
% 28.07/28.44 substitution0:
% 28.07/28.44 X := skol1
% 28.07/28.44 Y := skol2
% 28.07/28.44 end
% 28.07/28.44 substitution1:
% 28.07/28.44 X := skol1
% 28.07/28.44 end
% 28.07/28.44
% 28.07/28.44 resolution: (3434) {G2,W9,D2,L3,V0,M3} { ! convergent_lines( skol1, skol2
% 28.07/28.44 ), ! distinct_lines( skol1, skol2 ), ! convergent_lines( skol1, skol2 )
% 28.07/28.44 }.
% 28.07/28.44 parent0[1]: (3432) {G1,W16,D3,L4,V0,M4} { ! convergent_lines( skol1, skol2
% 28.07/28.44 ), ! distinct_points( intersection_point( skol1, skol3 ),
% 28.07/28.44 intersection_point( skol1, skol2 ) ), ! distinct_lines( skol1, skol2 ), !
% 28.07/28.44 convergent_lines( skol1, skol2 ) }.
% 28.07/28.44 parent1[0]: (1838) {G8,W7,D3,L1,V0,M1} R(1805,425);r(15) { distinct_points
% 28.07/28.44 ( intersection_point( skol1, skol3 ), intersection_point( skol1, skol2 )
% 28.07/28.44 ) }.
% 28.07/28.44 substitution0:
% 28.07/28.44 end
% 28.07/28.44 substitution1:
% 28.07/28.44 end
% 28.07/28.44
% 28.07/28.44 factor: (3435) {G2,W6,D2,L2,V0,M2} { ! convergent_lines( skol1, skol2 ), !
% 28.07/28.44 distinct_lines( skol1, skol2 ) }.
% 28.07/28.44 parent0[0, 2]: (3434) {G2,W9,D2,L3,V0,M3} { ! convergent_lines( skol1,
% 28.07/28.44 skol2 ), ! distinct_lines( skol1, skol2 ), ! convergent_lines( skol1,
% 28.07/28.44 skol2 ) }.
% 28.07/28.44 substitution0:
% 28.07/28.44 end
% 28.07/28.44
% 28.07/28.44 subsumption: (2797) {G9,W6,D2,L2,V0,M1} R(1776,8);f;r(1838) { !
% 28.07/28.44 convergent_lines( skol1, skol2 ), ! distinct_lines( skol1, skol2 ) }.
% 28.07/28.44 parent0: (3435) {G2,W6,D2,L2,V0,M2} { ! convergent_lines( skol1, skol2 ),
% 28.07/28.44 ! distinct_lines( skol1, skol2 ) }.
% 28.07/28.44 substitution0:
% 28.07/28.44 end
% 28.07/28.44 permutation0:
% 28.07/28.44 0 ==> 0
% 28.07/28.44 1 ==> 1
% 28.07/28.44 end
% 28.07/28.44
% 28.07/28.44 resolution: (3436) {G1,W3,D2,L1,V0,M1} { ! distinct_lines( skol1, skol2 )
% 28.07/28.44 }.
% 28.07/28.44 parent0[0]: (2797) {G9,W6,D2,L2,V0,M1} R(1776,8);f;r(1838) { !
% 28.07/28.44 convergent_lines( skol1, skol2 ), ! distinct_lines( skol1, skol2 ) }.
% 28.07/28.44 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 28.07/28.44 }.
% 28.07/28.44 substitution0:
% 28.07/28.44 end
% 28.07/28.44 substitution1:
% 28.07/28.44 end
% 28.07/28.44
% 28.07/28.44 subsumption: (2798) {G10,W3,D2,L1,V0,M1} S(2797);r(14) { ! distinct_lines(
% 28.07/28.44 skol1, skol2 ) }.
% 28.07/28.44 parent0: (3436) {G1,W3,D2,L1,V0,M1} { ! distinct_lines( skol1, skol2 ) }.
% 28.07/28.44 substitution0:
% 28.07/28.44 end
% 28.07/28.44 permutation0:
% 28.07/28.44 0 ==> 0
% 28.07/28.44 end
% 28.07/28.44
% 28.07/28.44 resolution: (3437) {G3,W6,D2,L2,V1,M2} { ! convergent_lines( X, skol2 ),
% 28.07/28.44 convergent_lines( X, skol1 ) }.
% 28.07/28.44 parent0[0]: (2798) {G10,W3,D2,L1,V0,M1} S(2797);r(14) { ! distinct_lines(
% 28.07/28.44 skol1, skol2 ) }.
% 28.07/28.44 parent1[2]: (116) {G2,W9,D2,L3,V3,M1} R(13,26) { ! convergent_lines( X, Y )
% 28.07/28.44 , convergent_lines( X, Z ), distinct_lines( Z, Y ) }.
% 28.07/28.44 substitution0:
% 28.07/28.44 end
% 28.07/28.44 substitution1:
% 28.07/28.44 X := X
% 28.07/28.44 Y := skol2
% 28.07/28.44 Z := skol1
% 28.07/28.44 end
% 28.07/28.44
% 28.07/28.44 resolution: (3438) {G4,W6,D2,L2,V1,M2} { convergent_lines( X, skol1 ),
% 28.07/28.44 convergent_lines( X, skol1 ) }.
% 28.07/28.44 parent0[0]: (3437) {G3,W6,D2,L2,V1,M2} { ! convergent_lines( X, skol2 ),
% 28.07/28.44 convergent_lines( X, skol1 ) }.
% 28.07/28.44 parent1[1]: (42) {G3,W6,D2,L2,V1,M1} R(40,34) { convergent_lines( X, skol1
% 28.07/28.44 ), convergent_lines( X, skol2 ) }.
% 28.07/28.44 substitution0:
% 28.07/28.44 X := X
% 28.07/28.44 end
% 28.07/28.44 substitution1:
% 28.07/28.44 X := X
% 28.07/28.44 end
% 28.07/28.44
% 28.07/28.44 factor: (3439) {G4,W3,D2,L1,V1,M1} { convergent_lines( X, skol1 ) }.
% 28.07/28.44 parent0[0, 1]: (3438) {G4,W6,D2,L2,V1,M2} { convergent_lines( X, skol1 ),
% 28.07/28.44 convergent_lines( X, skol1 ) }.
% 28.07/28.44 substitution0:
% 28.07/28.44 X := X
% 28.07/28.44 end
% 28.07/28.44
% 28.07/28.44 subsumption: (3181) {G11,W3,D2,L1,V1,M1} R(2798,116);r(42) {
% 28.07/28.44 convergent_lines( X, skol1 ) }.
% 28.07/28.44 parent0: (3439) {G4,W3,D2,L1,V1,M1} { convergent_lines( X, skol1 ) }.
% 28.07/28.44 substitution0:
% 28.07/28.44 X := X
% 28.07/28.44 end
% 28.07/28.44 permutation0:
% 28.07/28.44 0 ==> 0
% 28.07/28.44 end
% 28.07/28.44
% 28.07/28.44 resolution: (3440) {G1,W0,D0,L0,V0,M0} { }.
% 28.07/28.44 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 28.07/28.44 parent1[0]: (3181) {G11,W3,D2,L1,V1,M1} R(2798,116);r(42) {
% 28.07/28.44 convergent_lines( X, skol1 ) }.
% 28.07/28.44 substitution0:
% 28.07/28.44 X := skol1
% 28.07/28.44 end
% 28.07/28.44 substitution1:
% 28.07/28.44 X := skol1
% 28.07/28.44 end
% 28.07/28.44
% 28.07/28.44 subsumption: (3253) {G12,W0,D0,L0,V0,M0} R(3181,2) { }.
% 28.07/28.44 parent0: (3440) {G1,W0,D0,L0,V0,M0} { }.
% 28.07/28.44 substitution0:
% 28.07/28.44 end
% 28.07/28.44 permutation0:
% 28.07/28.44 end
% 28.07/28.44
% 28.07/28.44 Proof check complete!
% 28.07/28.44
% 28.07/28.44 Memory use:
% 28.07/28.44
% 28.07/28.44 space for terms: 52846
% 28.07/28.44 space for clauses: 115894
% 28.07/28.44
% 28.07/28.44
% 28.07/28.44 clauses generated: 1107434
% 28.07/28.44 clauses kept: 3254
% 28.07/28.44 clauses selected: 2513
% 28.07/28.44 clauses deleted: 306
% 28.07/28.44 clauses inuse deleted: 295
% 28.07/28.44
% 28.07/28.44 subsentry: 4210720
% 28.07/28.44 literals s-matched: 1528206
% 28.07/28.44 literals matched: 1528140
% 28.07/28.44 full subsumption: 1324920
% 28.07/28.44
% 28.07/28.44 checksum: 201975750
% 28.07/28.44
% 28.07/28.44
% 28.07/28.44 Bliksem ended
%------------------------------------------------------------------------------