TSTP Solution File: GEO198+2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO198+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:52:37 EDT 2022
% Result : Theorem 25.79s 26.20s
% Output : Refutation 25.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO198+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sat Jun 18 07:23:09 EDT 2022
% 0.13/0.33 % CPUTime :
% 25.79/26.20 *** allocated 10000 integers for termspace/termends
% 25.79/26.20 *** allocated 10000 integers for clauses
% 25.79/26.20 *** allocated 10000 integers for justifications
% 25.79/26.20 Bliksem 1.12
% 25.79/26.20
% 25.79/26.20
% 25.79/26.20 Automatic Strategy Selection
% 25.79/26.20
% 25.79/26.20
% 25.79/26.20 Clauses:
% 25.79/26.20
% 25.79/26.20 { ! distinct_points( X, X ) }.
% 25.79/26.20 { ! distinct_lines( X, X ) }.
% 25.79/26.20 { ! convergent_lines( X, X ) }.
% 25.79/26.20 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 25.79/26.20 ) }.
% 25.79/26.20 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 25.79/26.20 }.
% 25.79/26.20 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 25.79/26.20 , Z ) }.
% 25.79/26.20 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 25.79/26.20 , Y ) ), distinct_points( Z, X ) }.
% 25.79/26.20 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 25.79/26.20 , Y ) ), distinct_points( Z, Y ) }.
% 25.79/26.20 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, X ),
% 25.79/26.20 distinct_points( Z, intersection_point( X, Y ) ) }.
% 25.79/26.20 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, Y ),
% 25.79/26.20 distinct_points( Z, intersection_point( X, Y ) ) }.
% 25.79/26.20 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 25.79/26.20 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 25.79/26.20 apart_point_and_line( Y, T ) }.
% 25.79/26.20 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 25.79/26.20 apart_point_and_line( Z, Y ) }.
% 25.79/26.20 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 25.79/26.20 apart_point_and_line( X, Z ) }.
% 25.79/26.20 { ! convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 25.79/26.20 { convergent_lines( skol1, skol2 ) }.
% 25.79/26.20 { convergent_lines( skol3, skol2 ) }.
% 25.79/26.20 { convergent_lines( skol1, skol3 ) }.
% 25.79/26.20 { ! apart_point_and_line( intersection_point( skol1, skol2 ), skol3 ) }.
% 25.79/26.20 { apart_point_and_line( intersection_point( skol1, skol3 ), skol2 ) }.
% 25.79/26.20
% 25.79/26.20 percentage equality = 0.000000, percentage horn = 0.684211
% 25.79/26.20 This a non-horn, non-equality problem
% 25.79/26.20
% 25.79/26.20
% 25.79/26.20 Options Used:
% 25.79/26.20
% 25.79/26.20 useres = 1
% 25.79/26.20 useparamod = 0
% 25.79/26.20 useeqrefl = 0
% 25.79/26.20 useeqfact = 0
% 25.79/26.20 usefactor = 1
% 25.79/26.20 usesimpsplitting = 0
% 25.79/26.20 usesimpdemod = 0
% 25.79/26.20 usesimpres = 3
% 25.79/26.20
% 25.79/26.20 resimpinuse = 1000
% 25.79/26.20 resimpclauses = 20000
% 25.79/26.20 substype = standard
% 25.79/26.20 backwardsubs = 1
% 25.79/26.20 selectoldest = 5
% 25.79/26.20
% 25.79/26.20 litorderings [0] = split
% 25.79/26.20 litorderings [1] = liftord
% 25.79/26.20
% 25.79/26.20 termordering = none
% 25.79/26.20
% 25.79/26.20 litapriori = 1
% 25.79/26.20 termapriori = 0
% 25.79/26.20 litaposteriori = 0
% 25.79/26.20 termaposteriori = 0
% 25.79/26.20 demodaposteriori = 0
% 25.79/26.20 ordereqreflfact = 0
% 25.79/26.20
% 25.79/26.20 litselect = none
% 25.79/26.20
% 25.79/26.20 maxweight = 15
% 25.79/26.20 maxdepth = 30000
% 25.79/26.20 maxlength = 115
% 25.79/26.20 maxnrvars = 195
% 25.79/26.20 excuselevel = 1
% 25.79/26.20 increasemaxweight = 1
% 25.79/26.20
% 25.79/26.20 maxselected = 10000000
% 25.79/26.20 maxnrclauses = 10000000
% 25.79/26.20
% 25.79/26.20 showgenerated = 0
% 25.79/26.20 showkept = 0
% 25.79/26.20 showselected = 0
% 25.79/26.20 showdeleted = 0
% 25.79/26.20 showresimp = 1
% 25.79/26.20 showstatus = 2000
% 25.79/26.20
% 25.79/26.20 prologoutput = 0
% 25.79/26.20 nrgoals = 5000000
% 25.79/26.20 totalproof = 1
% 25.79/26.20
% 25.79/26.20 Symbols occurring in the translation:
% 25.79/26.20
% 25.79/26.20 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 25.79/26.20 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 25.79/26.20 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 25.79/26.20 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 25.79/26.20 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 25.79/26.20 distinct_points [36, 2] (w:1, o:44, a:1, s:1, b:0),
% 25.79/26.20 distinct_lines [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 25.79/26.20 convergent_lines [38, 2] (w:1, o:43, a:1, s:1, b:0),
% 25.79/26.20 line_connecting [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 25.79/26.20 apart_point_and_line [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 25.79/26.20 intersection_point [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 25.79/26.20 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 25.79/26.20 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 25.79/26.20 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0).
% 25.79/26.20
% 25.79/26.20
% 25.79/26.20 Starting Search:
% 25.79/26.20
% 25.79/26.20 *** allocated 15000 integers for clauses
% 25.79/26.20 *** allocated 22500 integers for clauses
% 25.79/26.20 *** allocated 33750 integers for clauses
% 25.79/26.20 *** allocated 15000 integers for termspace/termends
% 25.79/26.20 Resimplifying inuse:
% 25.79/26.20 Done
% 25.79/26.20
% 25.79/26.20 Failed to find proof!
% 25.79/26.20 maxweight = 15
% 25.79/26.20 maxnrclauses = 10000000
% 25.79/26.20 Generated: 121352
% 25.79/26.20 Kept: 885
% 25.79/26.20
% 25.79/26.20
% 25.79/26.20 The strategy used was not complete!
% 25.79/26.20
% 25.79/26.20 Increased maxweight to 16
% 25.79/26.20
% 25.79/26.20 Starting Search:
% 25.79/26.20
% 25.79/26.20 *** allocated 50625 integers for clauses
% 25.79/26.20 Resimplifying inuse:
% 25.79/26.20 Done
% 25.79/26.20
% 25.79/26.20 *** allocated 22500 integers for termspace/termends
% 25.79/26.20 Resimplifying inuse:
% 25.79/26.20 Done
% 25.79/26.20
% 25.79/26.20 Failed to find proof!
% 25.79/26.20 maxweight = 16
% 25.79/26.20 maxnrclauses = 10000000
% 25.79/26.20 Generated: 396056
% 25.79/26.20 Kept: 1241
% 25.79/26.20
% 25.79/26.20
% 25.79/26.20 The strategy used was not complete!
% 25.79/26.20
% 25.79/26.20 Increased maxweight to 17
% 25.79/26.20
% 25.79/26.20 Starting Search:
% 25.79/26.20
% 25.79/26.20 Resimplifying inuse:
% 25.79/26.20 Done
% 25.79/26.20
% 25.79/26.20 *** allocated 75937 integers for clauses
% 25.79/26.20 *** allocated 33750 integers for termspace/termends
% 25.79/26.20 Resimplifying inuse:
% 25.79/26.20 Done
% 25.79/26.20
% 25.79/26.20 Failed to find proof!
% 25.79/26.20 maxweight = 17
% 25.79/26.20 maxnrclauses = 10000000
% 25.79/26.20 Generated: 535556
% 25.79/26.20 Kept: 1637
% 25.79/26.20
% 25.79/26.20
% 25.79/26.20 The strategy used was not complete!
% 25.79/26.20
% 25.79/26.20 Increased maxweight to 18
% 25.79/26.20
% 25.79/26.20 Starting Search:
% 25.79/26.20
% 25.79/26.20 Resimplifying inuse:
% 25.79/26.20 Done
% 25.79/26.20
% 25.79/26.20
% 25.79/26.20 Intermediate Status:
% 25.79/26.20 Generated: 125723
% 25.79/26.20 Kept: 2050
% 25.79/26.20 Inuse: 821
% 25.79/26.20 Deleted: 2
% 25.79/26.20 Deletedinuse: 0
% 25.79/26.20
% 25.79/26.20 Resimplifying inuse:
% 25.79/26.20 Done
% 25.79/26.20
% 25.79/26.20 *** allocated 50625 integers for termspace/termends
% 25.79/26.20 *** allocated 113905 integers for clauses
% 25.79/26.20
% 25.79/26.20 Bliksems!, er is een bewijs:
% 25.79/26.20 % SZS status Theorem
% 25.79/26.20 % SZS output start Refutation
% 25.79/26.20
% 25.79/26.20 (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 25.79/26.20 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 25.79/26.20 (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 25.79/26.20 ), ! distinct_points( X, Y ) }.
% 25.79/26.20 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 25.79/26.20 , ! distinct_lines( X, Y ) }.
% 25.79/26.20 (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), distinct_points( Z
% 25.79/26.20 , intersection_point( X, Y ) ), ! apart_point_and_line( Z, X ) }.
% 25.79/26.20 (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), distinct_points( Z
% 25.79/26.20 , intersection_point( X, Y ) ), ! apart_point_and_line( Z, Y ) }.
% 25.79/26.20 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 25.79/26.20 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 25.79/26.20 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 25.79/26.20 (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 25.79/26.20 ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 25.79/26.20 (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ), apart_point_and_line(
% 25.79/26.20 X, Z ), ! apart_point_and_line( X, Y ) }.
% 25.79/26.20 (13) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ), distinct_lines( X
% 25.79/26.20 , Y ) }.
% 25.79/26.20 (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 ) }.
% 25.79/26.20 (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol2 ) }.
% 25.79/26.20 (16) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol3 ) }.
% 25.79/26.20 (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( intersection_point(
% 25.79/26.20 skol1, skol2 ), skol3 ) }.
% 25.79/26.20 (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( intersection_point(
% 25.79/26.20 skol1, skol3 ), skol2 ) }.
% 25.79/26.20 (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 25.79/26.20 distinct_points( X, Y ) }.
% 25.79/26.20 (26) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 25.79/26.20 ( X, Y ) }.
% 25.79/26.20 (29) {G2,W6,D2,L2,V2,M1} R(13,26) { ! convergent_lines( X, Y ),
% 25.79/26.20 distinct_lines( Y, X ) }.
% 25.79/26.20 (106) {G1,W19,D3,L5,V2,M3} R(10,17) { ! distinct_points( intersection_point
% 25.79/26.20 ( skol1, skol2 ), X ), ! distinct_lines( Y, skol3 ), apart_point_and_line
% 25.79/26.20 ( X, skol3 ), apart_point_and_line( intersection_point( skol1, skol2 ), Y
% 25.79/26.20 ), apart_point_and_line( X, Y ) }.
% 25.79/26.20 (109) {G1,W19,D3,L5,V2,M3} R(10,17) { ! distinct_points( intersection_point
% 25.79/26.20 ( skol1, skol2 ), X ), ! distinct_lines( skol3, Y ), apart_point_and_line
% 25.79/26.20 ( X, skol3 ), apart_point_and_line( X, Y ), apart_point_and_line(
% 25.79/26.20 intersection_point( skol1, skol2 ), Y ) }.
% 25.79/26.20 (127) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y ), !
% 25.79/26.20 convergent_lines( T, Z ), distinct_points( Y, intersection_point( T, Z )
% 25.79/26.20 ), ! apart_point_and_line( X, Z ) }.
% 25.79/26.20 (128) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y ), !
% 25.79/26.20 convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z, T )
% 25.79/26.20 ), ! apart_point_and_line( X, Z ) }.
% 25.79/26.20 (132) {G1,W8,D3,L2,V1,M1} R(11,18) { distinct_points( intersection_point(
% 25.79/26.20 skol1, skol3 ), X ), apart_point_and_line( X, skol2 ) }.
% 25.79/26.20 (135) {G2,W8,D3,L2,V2,M1} F(128);r(0) { ! convergent_lines( X, Y ), !
% 25.79/26.20 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 25.79/26.20 (136) {G2,W8,D3,L2,V2,M1} F(127);r(0) { ! convergent_lines( X, Y ), !
% 25.79/26.20 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 25.79/26.20 (152) {G1,W8,D3,L2,V1,M1} R(12,18) { distinct_lines( skol2, X ),
% 25.79/26.20 apart_point_and_line( intersection_point( skol1, skol3 ), X ) }.
% 25.79/26.20 (159) {G3,W3,D2,L1,V0,M1} R(152,136);r(16) { distinct_lines( skol2, skol3 )
% 25.79/26.20 }.
% 25.79/26.20 (217) {G2,W13,D3,L3,V2,M2} R(132,9) { ! convergent_lines( Y, skol2 ),
% 25.79/26.20 distinct_points( X, intersection_point( Y, skol2 ) ), distinct_points(
% 25.79/26.20 intersection_point( skol1, skol3 ), X ) }.
% 25.79/26.20 (1458) {G4,W14,D3,L4,V1,M1} R(106,136);r(159) { ! distinct_points(
% 25.79/26.20 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol2 )
% 25.79/26.20 , ! convergent_lines( skol1, skol2 ), apart_point_and_line( X, skol3 )
% 25.79/26.20 }.
% 25.79/26.20 (1506) {G3,W14,D3,L4,V1,M1} R(109,135);r(14) { ! distinct_points(
% 25.79/26.20 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol3, skol1 )
% 25.79/26.20 , apart_point_and_line( X, skol1 ), apart_point_and_line( X, skol3 ) }.
% 25.79/26.20 (1647) {G4,W18,D3,L4,V1,M1} R(1506,136) { ! distinct_points(
% 25.79/26.20 intersection_point( skol1, skol2 ), intersection_point( X, skol3 ) ), !
% 25.79/26.20 distinct_lines( skol3, skol1 ), ! convergent_lines( X, skol3 ),
% 25.79/26.20 apart_point_and_line( intersection_point( X, skol3 ), skol1 ) }.
% 25.79/26.20 (1712) {G5,W11,D3,L3,V1,M1} S(1458);r(14) { ! distinct_points(
% 25.79/26.20 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol2 )
% 25.79/26.20 , apart_point_and_line( X, skol3 ) }.
% 25.79/26.20 (1738) {G6,W15,D3,L3,V1,M1} R(1712,135) { ! distinct_points(
% 25.79/26.20 intersection_point( skol1, skol2 ), intersection_point( skol3, X ) ), !
% 25.79/26.20 convergent_lines( skol3, X ), apart_point_and_line( intersection_point(
% 25.79/26.20 skol3, X ), skol2 ) }.
% 25.79/26.20 (1766) {G7,W7,D3,L1,V0,M1} R(1738,136);f;r(15) { ! distinct_points(
% 25.79/26.20 intersection_point( skol1, skol2 ), intersection_point( skol3, skol2 ) )
% 25.79/26.20 }.
% 25.79/26.20 (1832) {G8,W7,D3,L1,V0,M1} R(1766,217);r(15) { distinct_points(
% 25.79/26.20 intersection_point( skol1, skol3 ), intersection_point( skol1, skol2 ) )
% 25.79/26.20 }.
% 25.79/26.20 (1894) {G9,W7,D3,L1,V0,M1} R(1832,21) { distinct_points( intersection_point
% 25.79/26.20 ( skol1, skol2 ), intersection_point( skol1, skol3 ) ) }.
% 25.79/26.20 (2548) {G10,W6,D2,L2,V0,M1} R(1647,135);f;r(1894) { ! convergent_lines(
% 25.79/26.20 skol1, skol3 ), ! distinct_lines( skol3, skol1 ) }.
% 25.79/26.20 (2549) {G11,W3,D2,L1,V0,M1} S(2548);r(16) { ! distinct_lines( skol3, skol1
% 25.79/26.20 ) }.
% 25.79/26.20 (3061) {G12,W0,D0,L0,V0,M0} R(2549,29);r(16) { }.
% 25.79/26.20
% 25.79/26.20
% 25.79/26.20 % SZS output end Refutation
% 25.79/26.20 found a proof!
% 25.79/26.20
% 25.79/26.20
% 25.79/26.20 Unprocessed initial clauses:
% 25.79/26.20
% 25.79/26.20 (3063) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 25.79/26.20 (3064) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 25.79/26.20 (3065) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 25.79/26.20 (3066) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 25.79/26.20 , Z ), distinct_points( Y, Z ) }.
% 25.79/26.20 (3067) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 25.79/26.20 Z ), distinct_lines( Y, Z ) }.
% 25.79/26.20 (3068) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 25.79/26.20 ( X, Z ), convergent_lines( Y, Z ) }.
% 25.79/26.20 (3069) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 25.79/26.20 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 25.79/26.20 ) }.
% 25.79/26.20 (3070) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 25.79/26.20 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 25.79/26.20 ) }.
% 25.79/26.20 (3071) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 25.79/26.20 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 25.79/26.20 Y ) ) }.
% 25.79/26.20 (3072) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 25.79/26.20 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 25.79/26.20 Y ) ) }.
% 25.79/26.20 (3073) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 25.79/26.20 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 25.79/26.20 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 25.79/26.20 (3074) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 25.79/26.20 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 25.79/26.20 (3075) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 25.79/26.20 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 25.79/26.20 (3076) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ), distinct_lines( X
% 25.79/26.20 , Y ) }.
% 25.79/26.20 (3077) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 25.79/26.20 (3078) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol2 ) }.
% 25.79/26.20 (3079) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol3 ) }.
% 25.79/26.20 (3080) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( intersection_point(
% 25.79/26.20 skol1, skol2 ), skol3 ) }.
% 25.79/26.20 (3081) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( intersection_point(
% 25.79/26.20 skol1, skol3 ), skol2 ) }.
% 25.79/26.20
% 25.79/26.20
% 25.79/26.20 Total Proof:
% 25.79/26.20
% 25.79/26.20 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 25.79/26.20 parent0: (3063) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := X
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 0
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 25.79/26.20 parent0: (3064) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := X
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 0
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 25.79/26.20 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 25.79/26.20 parent0: (3066) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ),
% 25.79/26.20 distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := X
% 25.79/26.20 Y := Y
% 25.79/26.20 Z := Z
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 2
% 25.79/26.20 1 ==> 0
% 25.79/26.20 2 ==> 1
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 25.79/26.20 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 25.79/26.20 parent0: (3067) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 25.79/26.20 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := X
% 25.79/26.20 Y := Y
% 25.79/26.20 Z := Z
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 2
% 25.79/26.20 1 ==> 0
% 25.79/26.20 2 ==> 1
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 25.79/26.20 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 25.79/26.20 ( Z, X ) }.
% 25.79/26.20 parent0: (3071) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 25.79/26.20 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 25.79/26.20 Y ) ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := X
% 25.79/26.20 Y := Y
% 25.79/26.20 Z := Z
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 0
% 25.79/26.20 1 ==> 2
% 25.79/26.20 2 ==> 1
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 25.79/26.20 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 25.79/26.20 ( Z, Y ) }.
% 25.79/26.20 parent0: (3072) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 25.79/26.20 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 25.79/26.20 Y ) ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := X
% 25.79/26.20 Y := Y
% 25.79/26.20 Z := Z
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 0
% 25.79/26.20 1 ==> 2
% 25.79/26.20 2 ==> 1
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 25.79/26.20 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 25.79/26.20 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 25.79/26.20 apart_point_and_line( X, Z ) }.
% 25.79/26.20 parent0: (3073) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 25.79/26.20 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 25.79/26.20 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 25.79/26.20 apart_point_and_line( Y, T ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := X
% 25.79/26.20 Y := Y
% 25.79/26.20 Z := Z
% 25.79/26.20 T := T
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 0
% 25.79/26.20 1 ==> 1
% 25.79/26.20 2 ==> 5
% 25.79/26.20 3 ==> 2
% 25.79/26.20 4 ==> 3
% 25.79/26.20 5 ==> 4
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 25.79/26.20 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 25.79/26.20 parent0: (3074) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 25.79/26.20 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := X
% 25.79/26.20 Y := Y
% 25.79/26.20 Z := Z
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 2
% 25.79/26.20 1 ==> 0
% 25.79/26.20 2 ==> 1
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 25.79/26.20 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 25.79/26.20 parent0: (3075) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 25.79/26.20 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := X
% 25.79/26.20 Y := Y
% 25.79/26.20 Z := Z
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 2
% 25.79/26.20 1 ==> 0
% 25.79/26.20 2 ==> 1
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (13) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ),
% 25.79/26.20 distinct_lines( X, Y ) }.
% 25.79/26.20 parent0: (3076) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 25.79/26.20 distinct_lines( X, Y ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := X
% 25.79/26.20 Y := Y
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 0
% 25.79/26.20 1 ==> 1
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 25.79/26.20 }.
% 25.79/26.20 parent0: (3077) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 0
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol2 )
% 25.79/26.20 }.
% 25.79/26.20 parent0: (3078) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol2 ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 0
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (16) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol3 )
% 25.79/26.20 }.
% 25.79/26.20 parent0: (3079) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol3 ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 0
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 25.79/26.20 intersection_point( skol1, skol2 ), skol3 ) }.
% 25.79/26.20 parent0: (3080) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line(
% 25.79/26.20 intersection_point( skol1, skol2 ), skol3 ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 0
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line(
% 25.79/26.20 intersection_point( skol1, skol3 ), skol2 ) }.
% 25.79/26.20 parent0: (3081) {G0,W5,D3,L1,V0,M1} { apart_point_and_line(
% 25.79/26.20 intersection_point( skol1, skol3 ), skol2 ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 0
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 resolution: (3172) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 25.79/26.20 distinct_points( X, Y ) }.
% 25.79/26.20 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 25.79/26.20 parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 25.79/26.20 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := X
% 25.79/26.20 end
% 25.79/26.20 substitution1:
% 25.79/26.20 X := X
% 25.79/26.20 Y := Y
% 25.79/26.20 Z := X
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 25.79/26.20 distinct_points( X, Y ) }.
% 25.79/26.20 parent0: (3172) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 25.79/26.20 distinct_points( X, Y ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := Y
% 25.79/26.20 Y := X
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 1
% 25.79/26.20 1 ==> 0
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 resolution: (3174) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 25.79/26.20 distinct_lines( X, Y ) }.
% 25.79/26.20 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 25.79/26.20 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 25.79/26.20 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := X
% 25.79/26.20 end
% 25.79/26.20 substitution1:
% 25.79/26.20 X := X
% 25.79/26.20 Y := Y
% 25.79/26.20 Z := X
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (26) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 25.79/26.20 distinct_lines( X, Y ) }.
% 25.79/26.20 parent0: (3174) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 25.79/26.20 distinct_lines( X, Y ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := Y
% 25.79/26.20 Y := X
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 1
% 25.79/26.20 1 ==> 0
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 resolution: (3176) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 25.79/26.20 convergent_lines( X, Y ) }.
% 25.79/26.20 parent0[0]: (26) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 25.79/26.20 distinct_lines( X, Y ) }.
% 25.79/26.20 parent1[1]: (13) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ),
% 25.79/26.20 distinct_lines( X, Y ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := Y
% 25.79/26.20 Y := X
% 25.79/26.20 end
% 25.79/26.20 substitution1:
% 25.79/26.20 X := X
% 25.79/26.20 Y := Y
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (29) {G2,W6,D2,L2,V2,M1} R(13,26) { ! convergent_lines( X, Y )
% 25.79/26.20 , distinct_lines( Y, X ) }.
% 25.79/26.20 parent0: (3176) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 25.79/26.20 convergent_lines( X, Y ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := X
% 25.79/26.20 Y := Y
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 1
% 25.79/26.20 1 ==> 0
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 resolution: (3177) {G1,W19,D3,L5,V2,M5} { ! distinct_points(
% 25.79/26.20 intersection_point( skol1, skol2 ), X ), ! distinct_lines( Y, skol3 ),
% 25.79/26.20 apart_point_and_line( X, Y ), apart_point_and_line( X, skol3 ),
% 25.79/26.20 apart_point_and_line( intersection_point( skol1, skol2 ), Y ) }.
% 25.79/26.20 parent0[0]: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 25.79/26.20 intersection_point( skol1, skol2 ), skol3 ) }.
% 25.79/26.20 parent1[2]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 25.79/26.20 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 25.79/26.20 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 25.79/26.20 apart_point_and_line( X, Z ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 end
% 25.79/26.20 substitution1:
% 25.79/26.20 X := intersection_point( skol1, skol2 )
% 25.79/26.20 Y := X
% 25.79/26.20 Z := Y
% 25.79/26.20 T := skol3
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (106) {G1,W19,D3,L5,V2,M3} R(10,17) { ! distinct_points(
% 25.79/26.20 intersection_point( skol1, skol2 ), X ), ! distinct_lines( Y, skol3 ),
% 25.79/26.20 apart_point_and_line( X, skol3 ), apart_point_and_line(
% 25.79/26.20 intersection_point( skol1, skol2 ), Y ), apart_point_and_line( X, Y ) }.
% 25.79/26.20 parent0: (3177) {G1,W19,D3,L5,V2,M5} { ! distinct_points(
% 25.79/26.20 intersection_point( skol1, skol2 ), X ), ! distinct_lines( Y, skol3 ),
% 25.79/26.20 apart_point_and_line( X, Y ), apart_point_and_line( X, skol3 ),
% 25.79/26.20 apart_point_and_line( intersection_point( skol1, skol2 ), Y ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := X
% 25.79/26.20 Y := Y
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 0
% 25.79/26.20 1 ==> 1
% 25.79/26.20 2 ==> 4
% 25.79/26.20 3 ==> 2
% 25.79/26.20 4 ==> 3
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 resolution: (3189) {G1,W19,D3,L5,V2,M5} { ! distinct_points(
% 25.79/26.20 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol3, Y ),
% 25.79/26.20 apart_point_and_line( intersection_point( skol1, skol2 ), Y ),
% 25.79/26.20 apart_point_and_line( X, skol3 ), apart_point_and_line( X, Y ) }.
% 25.79/26.20 parent0[0]: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 25.79/26.20 intersection_point( skol1, skol2 ), skol3 ) }.
% 25.79/26.20 parent1[5]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 25.79/26.20 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 25.79/26.20 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 25.79/26.20 apart_point_and_line( X, Z ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 end
% 25.79/26.20 substitution1:
% 25.79/26.20 X := intersection_point( skol1, skol2 )
% 25.79/26.20 Y := X
% 25.79/26.20 Z := skol3
% 25.79/26.20 T := Y
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (109) {G1,W19,D3,L5,V2,M3} R(10,17) { ! distinct_points(
% 25.79/26.20 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol3, Y ),
% 25.79/26.20 apart_point_and_line( X, skol3 ), apart_point_and_line( X, Y ),
% 25.79/26.20 apart_point_and_line( intersection_point( skol1, skol2 ), Y ) }.
% 25.79/26.20 parent0: (3189) {G1,W19,D3,L5,V2,M5} { ! distinct_points(
% 25.79/26.20 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol3, Y ),
% 25.79/26.20 apart_point_and_line( intersection_point( skol1, skol2 ), Y ),
% 25.79/26.20 apart_point_and_line( X, skol3 ), apart_point_and_line( X, Y ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := X
% 25.79/26.20 Y := Y
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 0
% 25.79/26.20 1 ==> 1
% 25.79/26.20 2 ==> 4
% 25.79/26.20 3 ==> 2
% 25.79/26.20 4 ==> 3
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 resolution: (3195) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 25.79/26.20 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 25.79/26.20 , ! apart_point_and_line( T, Y ) }.
% 25.79/26.20 parent0[2]: (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 25.79/26.20 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 25.79/26.20 ( Z, Y ) }.
% 25.79/26.20 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 25.79/26.20 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := X
% 25.79/26.20 Y := Y
% 25.79/26.20 Z := Z
% 25.79/26.20 end
% 25.79/26.20 substitution1:
% 25.79/26.20 X := T
% 25.79/26.20 Y := Y
% 25.79/26.20 Z := Z
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (127) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y ),
% 25.79/26.20 ! convergent_lines( T, Z ), distinct_points( Y, intersection_point( T, Z
% 25.79/26.20 ) ), ! apart_point_and_line( X, Z ) }.
% 25.79/26.20 parent0: (3195) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 25.79/26.20 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 25.79/26.20 , ! apart_point_and_line( T, Y ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := T
% 25.79/26.20 Y := Z
% 25.79/26.20 Z := Y
% 25.79/26.20 T := X
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 1
% 25.79/26.20 1 ==> 2
% 25.79/26.20 2 ==> 0
% 25.79/26.20 3 ==> 3
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 resolution: (3197) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 25.79/26.20 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 25.79/26.20 , ! apart_point_and_line( T, X ) }.
% 25.79/26.20 parent0[2]: (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 25.79/26.20 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 25.79/26.20 ( Z, X ) }.
% 25.79/26.20 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 25.79/26.20 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := X
% 25.79/26.20 Y := Y
% 25.79/26.20 Z := Z
% 25.79/26.20 end
% 25.79/26.20 substitution1:
% 25.79/26.20 X := T
% 25.79/26.20 Y := X
% 25.79/26.20 Z := Z
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (128) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y ),
% 25.79/26.20 ! convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z, T
% 25.79/26.20 ) ), ! apart_point_and_line( X, Z ) }.
% 25.79/26.20 parent0: (3197) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 25.79/26.20 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 25.79/26.20 , ! apart_point_and_line( T, X ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := Z
% 25.79/26.20 Y := T
% 25.79/26.20 Z := Y
% 25.79/26.20 T := X
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 1
% 25.79/26.20 1 ==> 2
% 25.79/26.20 2 ==> 0
% 25.79/26.20 3 ==> 3
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 resolution: (3199) {G1,W8,D3,L2,V1,M2} { distinct_points(
% 25.79/26.20 intersection_point( skol1, skol3 ), X ), apart_point_and_line( X, skol2 )
% 25.79/26.20 }.
% 25.79/26.20 parent0[2]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 25.79/26.20 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 25.79/26.20 parent1[0]: (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line(
% 25.79/26.20 intersection_point( skol1, skol3 ), skol2 ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := intersection_point( skol1, skol3 )
% 25.79/26.20 Y := skol2
% 25.79/26.20 Z := X
% 25.79/26.20 end
% 25.79/26.20 substitution1:
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (132) {G1,W8,D3,L2,V1,M1} R(11,18) { distinct_points(
% 25.79/26.20 intersection_point( skol1, skol3 ), X ), apart_point_and_line( X, skol2 )
% 25.79/26.20 }.
% 25.79/26.20 parent0: (3199) {G1,W8,D3,L2,V1,M2} { distinct_points( intersection_point
% 25.79/26.20 ( skol1, skol3 ), X ), apart_point_and_line( X, skol2 ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := X
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 0
% 25.79/26.20 1 ==> 1
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 *** allocated 75937 integers for termspace/termends
% 25.79/26.20 factor: (3200) {G1,W15,D3,L3,V2,M3} { distinct_points( intersection_point
% 25.79/26.20 ( X, Y ), intersection_point( X, Y ) ), ! convergent_lines( X, Y ), !
% 25.79/26.20 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 25.79/26.20 parent0[0, 2]: (128) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y )
% 25.79/26.20 , ! convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z,
% 25.79/26.20 T ) ), ! apart_point_and_line( X, Z ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := intersection_point( X, Y )
% 25.79/26.20 Y := intersection_point( X, Y )
% 25.79/26.20 Z := X
% 25.79/26.20 T := Y
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 resolution: (3201) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 25.79/26.20 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 25.79/26.20 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 25.79/26.20 parent1[0]: (3200) {G1,W15,D3,L3,V2,M3} { distinct_points(
% 25.79/26.20 intersection_point( X, Y ), intersection_point( X, Y ) ), !
% 25.79/26.20 convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X,
% 25.79/26.20 Y ), X ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := intersection_point( X, Y )
% 25.79/26.20 end
% 25.79/26.20 substitution1:
% 25.79/26.20 X := X
% 25.79/26.20 Y := Y
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (135) {G2,W8,D3,L2,V2,M1} F(128);r(0) { ! convergent_lines( X
% 25.79/26.20 , Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 25.79/26.20 parent0: (3201) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 25.79/26.20 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := X
% 25.79/26.20 Y := Y
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 0
% 25.79/26.20 1 ==> 1
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 factor: (3202) {G1,W15,D3,L3,V2,M3} { distinct_points( intersection_point
% 25.79/26.20 ( X, Y ), intersection_point( X, Y ) ), ! convergent_lines( X, Y ), !
% 25.79/26.20 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 25.79/26.20 parent0[0, 2]: (127) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y )
% 25.79/26.20 , ! convergent_lines( T, Z ), distinct_points( Y, intersection_point( T,
% 25.79/26.20 Z ) ), ! apart_point_and_line( X, Z ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := intersection_point( X, Y )
% 25.79/26.20 Y := intersection_point( X, Y )
% 25.79/26.20 Z := Y
% 25.79/26.20 T := X
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 resolution: (3203) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 25.79/26.20 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 25.79/26.20 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 25.79/26.20 parent1[0]: (3202) {G1,W15,D3,L3,V2,M3} { distinct_points(
% 25.79/26.20 intersection_point( X, Y ), intersection_point( X, Y ) ), !
% 25.79/26.20 convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X,
% 25.79/26.20 Y ), Y ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := intersection_point( X, Y )
% 25.79/26.20 end
% 25.79/26.20 substitution1:
% 25.79/26.20 X := X
% 25.79/26.20 Y := Y
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (136) {G2,W8,D3,L2,V2,M1} F(127);r(0) { ! convergent_lines( X
% 25.79/26.20 , Y ), ! apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 25.79/26.20 parent0: (3203) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 25.79/26.20 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := X
% 25.79/26.20 Y := Y
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 0
% 25.79/26.20 1 ==> 1
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 resolution: (3204) {G1,W8,D3,L2,V1,M2} { distinct_lines( skol2, X ),
% 25.79/26.20 apart_point_and_line( intersection_point( skol1, skol3 ), X ) }.
% 25.79/26.20 parent0[2]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 25.79/26.20 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 25.79/26.20 parent1[0]: (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line(
% 25.79/26.20 intersection_point( skol1, skol3 ), skol2 ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := intersection_point( skol1, skol3 )
% 25.79/26.20 Y := skol2
% 25.79/26.20 Z := X
% 25.79/26.20 end
% 25.79/26.20 substitution1:
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (152) {G1,W8,D3,L2,V1,M1} R(12,18) { distinct_lines( skol2, X
% 25.79/26.20 ), apart_point_and_line( intersection_point( skol1, skol3 ), X ) }.
% 25.79/26.20 parent0: (3204) {G1,W8,D3,L2,V1,M2} { distinct_lines( skol2, X ),
% 25.79/26.20 apart_point_and_line( intersection_point( skol1, skol3 ), X ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := X
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 0
% 25.79/26.20 1 ==> 1
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 resolution: (3205) {G2,W6,D2,L2,V0,M2} { ! convergent_lines( skol1, skol3
% 25.79/26.20 ), distinct_lines( skol2, skol3 ) }.
% 25.79/26.20 parent0[1]: (136) {G2,W8,D3,L2,V2,M1} F(127);r(0) { ! convergent_lines( X,
% 25.79/26.20 Y ), ! apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 25.79/26.20 parent1[1]: (152) {G1,W8,D3,L2,V1,M1} R(12,18) { distinct_lines( skol2, X )
% 25.79/26.20 , apart_point_and_line( intersection_point( skol1, skol3 ), X ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := skol1
% 25.79/26.20 Y := skol3
% 25.79/26.20 end
% 25.79/26.20 substitution1:
% 25.79/26.20 X := skol3
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 resolution: (3206) {G1,W3,D2,L1,V0,M1} { distinct_lines( skol2, skol3 )
% 25.79/26.20 }.
% 25.79/26.20 parent0[0]: (3205) {G2,W6,D2,L2,V0,M2} { ! convergent_lines( skol1, skol3
% 25.79/26.20 ), distinct_lines( skol2, skol3 ) }.
% 25.79/26.20 parent1[0]: (16) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol3 )
% 25.79/26.20 }.
% 25.79/26.20 substitution0:
% 25.79/26.20 end
% 25.79/26.20 substitution1:
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (159) {G3,W3,D2,L1,V0,M1} R(152,136);r(16) { distinct_lines(
% 25.79/26.20 skol2, skol3 ) }.
% 25.79/26.20 parent0: (3206) {G1,W3,D2,L1,V0,M1} { distinct_lines( skol2, skol3 ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 0
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 resolution: (3207) {G1,W13,D3,L3,V2,M3} { ! convergent_lines( X, skol2 ),
% 25.79/26.20 distinct_points( Y, intersection_point( X, skol2 ) ), distinct_points(
% 25.79/26.20 intersection_point( skol1, skol3 ), Y ) }.
% 25.79/26.20 parent0[2]: (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 25.79/26.20 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 25.79/26.20 ( Z, Y ) }.
% 25.79/26.20 parent1[1]: (132) {G1,W8,D3,L2,V1,M1} R(11,18) { distinct_points(
% 25.79/26.20 intersection_point( skol1, skol3 ), X ), apart_point_and_line( X, skol2 )
% 25.79/26.20 }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := X
% 25.79/26.20 Y := skol2
% 25.79/26.20 Z := Y
% 25.79/26.20 end
% 25.79/26.20 substitution1:
% 25.79/26.20 X := Y
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (217) {G2,W13,D3,L3,V2,M2} R(132,9) { ! convergent_lines( Y,
% 25.79/26.20 skol2 ), distinct_points( X, intersection_point( Y, skol2 ) ),
% 25.79/26.20 distinct_points( intersection_point( skol1, skol3 ), X ) }.
% 25.79/26.20 parent0: (3207) {G1,W13,D3,L3,V2,M3} { ! convergent_lines( X, skol2 ),
% 25.79/26.20 distinct_points( Y, intersection_point( X, skol2 ) ), distinct_points(
% 25.79/26.20 intersection_point( skol1, skol3 ), Y ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := Y
% 25.79/26.20 Y := X
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 0
% 25.79/26.20 1 ==> 1
% 25.79/26.20 2 ==> 2
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 resolution: (3209) {G2,W17,D3,L5,V1,M5} { ! convergent_lines( skol1, skol2
% 25.79/26.20 ), ! distinct_points( intersection_point( skol1, skol2 ), X ), !
% 25.79/26.20 distinct_lines( skol2, skol3 ), apart_point_and_line( X, skol3 ),
% 25.79/26.20 apart_point_and_line( X, skol2 ) }.
% 25.79/26.20 parent0[1]: (136) {G2,W8,D3,L2,V2,M1} F(127);r(0) { ! convergent_lines( X,
% 25.79/26.20 Y ), ! apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 25.79/26.20 parent1[3]: (106) {G1,W19,D3,L5,V2,M3} R(10,17) { ! distinct_points(
% 25.79/26.20 intersection_point( skol1, skol2 ), X ), ! distinct_lines( Y, skol3 ),
% 25.79/26.20 apart_point_and_line( X, skol3 ), apart_point_and_line(
% 25.79/26.20 intersection_point( skol1, skol2 ), Y ), apart_point_and_line( X, Y ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := skol1
% 25.79/26.20 Y := skol2
% 25.79/26.20 end
% 25.79/26.20 substitution1:
% 25.79/26.20 X := X
% 25.79/26.20 Y := skol2
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 resolution: (3211) {G3,W14,D3,L4,V1,M4} { ! convergent_lines( skol1, skol2
% 25.79/26.20 ), ! distinct_points( intersection_point( skol1, skol2 ), X ),
% 25.79/26.20 apart_point_and_line( X, skol3 ), apart_point_and_line( X, skol2 ) }.
% 25.79/26.20 parent0[2]: (3209) {G2,W17,D3,L5,V1,M5} { ! convergent_lines( skol1, skol2
% 25.79/26.20 ), ! distinct_points( intersection_point( skol1, skol2 ), X ), !
% 25.79/26.20 distinct_lines( skol2, skol3 ), apart_point_and_line( X, skol3 ),
% 25.79/26.20 apart_point_and_line( X, skol2 ) }.
% 25.79/26.20 parent1[0]: (159) {G3,W3,D2,L1,V0,M1} R(152,136);r(16) { distinct_lines(
% 25.79/26.20 skol2, skol3 ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := X
% 25.79/26.20 end
% 25.79/26.20 substitution1:
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (1458) {G4,W14,D3,L4,V1,M1} R(106,136);r(159) { !
% 25.79/26.20 distinct_points( intersection_point( skol1, skol2 ), X ),
% 25.79/26.20 apart_point_and_line( X, skol2 ), ! convergent_lines( skol1, skol2 ),
% 25.79/26.20 apart_point_and_line( X, skol3 ) }.
% 25.79/26.20 parent0: (3211) {G3,W14,D3,L4,V1,M4} { ! convergent_lines( skol1, skol2 )
% 25.79/26.20 , ! distinct_points( intersection_point( skol1, skol2 ), X ),
% 25.79/26.20 apart_point_and_line( X, skol3 ), apart_point_and_line( X, skol2 ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := X
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 2
% 25.79/26.20 1 ==> 0
% 25.79/26.20 2 ==> 3
% 25.79/26.20 3 ==> 1
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 resolution: (3214) {G2,W17,D3,L5,V1,M5} { ! convergent_lines( skol1, skol2
% 25.79/26.20 ), ! distinct_points( intersection_point( skol1, skol2 ), X ), !
% 25.79/26.20 distinct_lines( skol3, skol1 ), apart_point_and_line( X, skol3 ),
% 25.79/26.20 apart_point_and_line( X, skol1 ) }.
% 25.79/26.20 parent0[1]: (135) {G2,W8,D3,L2,V2,M1} F(128);r(0) { ! convergent_lines( X,
% 25.79/26.20 Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 25.79/26.20 parent1[4]: (109) {G1,W19,D3,L5,V2,M3} R(10,17) { ! distinct_points(
% 25.79/26.20 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol3, Y ),
% 25.79/26.20 apart_point_and_line( X, skol3 ), apart_point_and_line( X, Y ),
% 25.79/26.20 apart_point_and_line( intersection_point( skol1, skol2 ), Y ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := skol1
% 25.79/26.20 Y := skol2
% 25.79/26.20 end
% 25.79/26.20 substitution1:
% 25.79/26.20 X := X
% 25.79/26.20 Y := skol1
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 resolution: (3215) {G1,W14,D3,L4,V1,M4} { ! distinct_points(
% 25.79/26.20 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol3, skol1 )
% 25.79/26.20 , apart_point_and_line( X, skol3 ), apart_point_and_line( X, skol1 ) }.
% 25.79/26.20 parent0[0]: (3214) {G2,W17,D3,L5,V1,M5} { ! convergent_lines( skol1, skol2
% 25.79/26.20 ), ! distinct_points( intersection_point( skol1, skol2 ), X ), !
% 25.79/26.20 distinct_lines( skol3, skol1 ), apart_point_and_line( X, skol3 ),
% 25.79/26.20 apart_point_and_line( X, skol1 ) }.
% 25.79/26.20 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 25.79/26.20 }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := X
% 25.79/26.20 end
% 25.79/26.20 substitution1:
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 subsumption: (1506) {G3,W14,D3,L4,V1,M1} R(109,135);r(14) { !
% 25.79/26.20 distinct_points( intersection_point( skol1, skol2 ), X ), !
% 25.79/26.20 distinct_lines( skol3, skol1 ), apart_point_and_line( X, skol1 ),
% 25.79/26.20 apart_point_and_line( X, skol3 ) }.
% 25.79/26.20 parent0: (3215) {G1,W14,D3,L4,V1,M4} { ! distinct_points(
% 25.79/26.20 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol3, skol1 )
% 25.79/26.20 , apart_point_and_line( X, skol3 ), apart_point_and_line( X, skol1 ) }.
% 25.79/26.20 substitution0:
% 25.79/26.20 X := X
% 25.79/26.20 end
% 25.79/26.20 permutation0:
% 25.79/26.20 0 ==> 0
% 25.79/26.20 1 ==> 1
% 25.79/26.20 2 ==> 3
% 25.79/26.20 3 ==> 2
% 25.79/26.20 end
% 25.79/26.20
% 25.79/26.20 resolution: (3217) {G3,W18,D3,L4,V1,M4} { ! convergent_lines( X, skol3 ),
% 25.79/26.20 ! distinct_points( intersection_point( skol1, skol2 ), intersection_point
% 25.79/26.20 ( X, skol3 ) ), ! distinct_lines( skol3, skol1 ), apart_point_and_line(
% 25.79/26.20 intersection_point( X, skol3 ), skol1 ) }.
% 25.79/26.20 parent0[1]: (136) {G2,W8,D3,L2,V2,M1} F(127);r(0) { ! convergent_lines( X,
% 25.79/26.20 Y ), ! apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 25.79/26.20 parent1[3]: (1506) {G3,W14,D3,L4,V1,M1} R(109,135);r(14) { !
% 25.79/26.20 distinct_points( intersection_point( skol1, skol2 ), X ), !
% 25.79/26.21 distinct_lines( skol3, skol1 ), apart_point_and_line( X, skol1 ),
% 25.79/26.21 apart_point_and_line( X, skol3 ) }.
% 25.79/26.21 substitution0:
% 25.79/26.21 X := X
% 25.79/26.21 Y := skol3
% 25.79/26.21 end
% 25.79/26.21 substitution1:
% 25.79/26.21 X := intersection_point( X, skol3 )
% 25.79/26.21 end
% 25.79/26.21
% 25.79/26.21 subsumption: (1647) {G4,W18,D3,L4,V1,M1} R(1506,136) { ! distinct_points(
% 25.79/26.21 intersection_point( skol1, skol2 ), intersection_point( X, skol3 ) ), !
% 25.79/26.21 distinct_lines( skol3, skol1 ), ! convergent_lines( X, skol3 ),
% 25.79/26.21 apart_point_and_line( intersection_point( X, skol3 ), skol1 ) }.
% 25.79/26.21 parent0: (3217) {G3,W18,D3,L4,V1,M4} { ! convergent_lines( X, skol3 ), !
% 25.79/26.21 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 25.79/26.21 X, skol3 ) ), ! distinct_lines( skol3, skol1 ), apart_point_and_line(
% 25.79/26.21 intersection_point( X, skol3 ), skol1 ) }.
% 25.79/26.21 substitution0:
% 25.79/26.21 X := X
% 25.79/26.21 end
% 25.79/26.21 permutation0:
% 25.79/26.21 0 ==> 2
% 25.79/26.21 1 ==> 0
% 25.79/26.21 2 ==> 1
% 25.79/26.21 3 ==> 3
% 25.79/26.21 end
% 25.79/26.21
% 25.79/26.21 resolution: (3218) {G1,W11,D3,L3,V1,M3} { ! distinct_points(
% 25.79/26.21 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol2 )
% 25.79/26.21 , apart_point_and_line( X, skol3 ) }.
% 25.79/26.21 parent0[2]: (1458) {G4,W14,D3,L4,V1,M1} R(106,136);r(159) { !
% 25.79/26.21 distinct_points( intersection_point( skol1, skol2 ), X ),
% 25.79/26.21 apart_point_and_line( X, skol2 ), ! convergent_lines( skol1, skol2 ),
% 25.79/26.21 apart_point_and_line( X, skol3 ) }.
% 25.79/26.21 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 25.79/26.21 }.
% 25.79/26.21 substitution0:
% 25.79/26.21 X := X
% 25.79/26.21 end
% 25.79/26.21 substitution1:
% 25.79/26.21 end
% 25.79/26.21
% 25.79/26.21 subsumption: (1712) {G5,W11,D3,L3,V1,M1} S(1458);r(14) { ! distinct_points
% 25.79/26.21 ( intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol2
% 25.79/26.21 ), apart_point_and_line( X, skol3 ) }.
% 25.79/26.21 parent0: (3218) {G1,W11,D3,L3,V1,M3} { ! distinct_points(
% 25.79/26.21 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol2 )
% 25.79/26.21 , apart_point_and_line( X, skol3 ) }.
% 25.79/26.21 substitution0:
% 25.79/26.21 X := X
% 25.79/26.21 end
% 25.79/26.21 permutation0:
% 25.79/26.21 0 ==> 0
% 25.79/26.21 1 ==> 1
% 25.79/26.21 2 ==> 2
% 25.79/26.21 end
% 25.79/26.21
% 25.79/26.21 resolution: (3220) {G3,W15,D3,L3,V1,M3} { ! convergent_lines( skol3, X ),
% 25.79/26.21 ! distinct_points( intersection_point( skol1, skol2 ), intersection_point
% 25.79/26.21 ( skol3, X ) ), apart_point_and_line( intersection_point( skol3, X ),
% 25.79/26.21 skol2 ) }.
% 25.79/26.21 parent0[1]: (135) {G2,W8,D3,L2,V2,M1} F(128);r(0) { ! convergent_lines( X,
% 25.79/26.21 Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 25.79/26.21 parent1[2]: (1712) {G5,W11,D3,L3,V1,M1} S(1458);r(14) { ! distinct_points(
% 25.79/26.21 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol2 )
% 25.79/26.21 , apart_point_and_line( X, skol3 ) }.
% 25.79/26.21 substitution0:
% 25.79/26.21 X := skol3
% 25.79/26.21 Y := X
% 25.79/26.21 end
% 25.79/26.21 substitution1:
% 25.79/26.21 X := intersection_point( skol3, X )
% 25.79/26.21 end
% 25.79/26.21
% 25.79/26.21 subsumption: (1738) {G6,W15,D3,L3,V1,M1} R(1712,135) { ! distinct_points(
% 25.79/26.21 intersection_point( skol1, skol2 ), intersection_point( skol3, X ) ), !
% 25.79/26.21 convergent_lines( skol3, X ), apart_point_and_line( intersection_point(
% 25.79/26.21 skol3, X ), skol2 ) }.
% 25.79/26.21 parent0: (3220) {G3,W15,D3,L3,V1,M3} { ! convergent_lines( skol3, X ), !
% 25.79/26.21 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 25.79/26.21 skol3, X ) ), apart_point_and_line( intersection_point( skol3, X ), skol2
% 25.79/26.21 ) }.
% 25.79/26.21 substitution0:
% 25.79/26.21 X := X
% 25.79/26.21 end
% 25.79/26.21 permutation0:
% 25.79/26.21 0 ==> 1
% 25.79/26.21 1 ==> 0
% 25.79/26.21 2 ==> 2
% 25.79/26.21 end
% 25.79/26.21
% 25.79/26.21 resolution: (3221) {G3,W13,D3,L3,V0,M3} { ! convergent_lines( skol3, skol2
% 25.79/26.21 ), ! distinct_points( intersection_point( skol1, skol2 ),
% 25.79/26.21 intersection_point( skol3, skol2 ) ), ! convergent_lines( skol3, skol2 )
% 25.79/26.21 }.
% 25.79/26.21 parent0[1]: (136) {G2,W8,D3,L2,V2,M1} F(127);r(0) { ! convergent_lines( X,
% 25.79/26.21 Y ), ! apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 25.79/26.21 parent1[2]: (1738) {G6,W15,D3,L3,V1,M1} R(1712,135) { ! distinct_points(
% 25.79/26.21 intersection_point( skol1, skol2 ), intersection_point( skol3, X ) ), !
% 25.79/26.21 convergent_lines( skol3, X ), apart_point_and_line( intersection_point(
% 25.79/26.21 skol3, X ), skol2 ) }.
% 25.79/26.21 substitution0:
% 25.79/26.21 X := skol3
% 25.79/26.21 Y := skol2
% 25.79/26.21 end
% 25.79/26.21 substitution1:
% 25.79/26.21 X := skol2
% 25.79/26.21 end
% 25.79/26.21
% 25.79/26.21 factor: (3222) {G3,W10,D3,L2,V0,M2} { ! convergent_lines( skol3, skol2 ),
% 25.79/26.21 ! distinct_points( intersection_point( skol1, skol2 ), intersection_point
% 25.79/26.21 ( skol3, skol2 ) ) }.
% 25.79/26.21 parent0[0, 2]: (3221) {G3,W13,D3,L3,V0,M3} { ! convergent_lines( skol3,
% 25.79/26.21 skol2 ), ! distinct_points( intersection_point( skol1, skol2 ),
% 25.79/26.21 intersection_point( skol3, skol2 ) ), ! convergent_lines( skol3, skol2 )
% 25.79/26.21 }.
% 25.79/26.21 substitution0:
% 25.79/26.21 end
% 25.79/26.21
% 25.79/26.21 resolution: (3224) {G1,W7,D3,L1,V0,M1} { ! distinct_points(
% 25.79/26.21 intersection_point( skol1, skol2 ), intersection_point( skol3, skol2 ) )
% 25.79/26.21 }.
% 25.79/26.21 parent0[0]: (3222) {G3,W10,D3,L2,V0,M2} { ! convergent_lines( skol3, skol2
% 25.79/26.21 ), ! distinct_points( intersection_point( skol1, skol2 ),
% 25.79/26.21 intersection_point( skol3, skol2 ) ) }.
% 25.79/26.21 parent1[0]: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol2 )
% 25.79/26.21 }.
% 25.79/26.21 substitution0:
% 25.79/26.21 end
% 25.79/26.21 substitution1:
% 25.79/26.21 end
% 25.79/26.21
% 25.79/26.21 subsumption: (1766) {G7,W7,D3,L1,V0,M1} R(1738,136);f;r(15) { !
% 25.79/26.21 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 25.79/26.21 skol3, skol2 ) ) }.
% 25.79/26.21 parent0: (3224) {G1,W7,D3,L1,V0,M1} { ! distinct_points(
% 25.79/26.21 intersection_point( skol1, skol2 ), intersection_point( skol3, skol2 ) )
% 25.79/26.21 }.
% 25.79/26.21 substitution0:
% 25.79/26.21 end
% 25.79/26.21 permutation0:
% 25.79/26.21 0 ==> 0
% 25.79/26.21 end
% 25.79/26.21
% 25.79/26.21 resolution: (3225) {G3,W10,D3,L2,V0,M2} { ! convergent_lines( skol3, skol2
% 25.79/26.21 ), distinct_points( intersection_point( skol1, skol3 ),
% 25.79/26.21 intersection_point( skol1, skol2 ) ) }.
% 25.79/26.21 parent0[0]: (1766) {G7,W7,D3,L1,V0,M1} R(1738,136);f;r(15) { !
% 25.79/26.21 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 25.79/26.21 skol3, skol2 ) ) }.
% 25.79/26.21 parent1[1]: (217) {G2,W13,D3,L3,V2,M2} R(132,9) { ! convergent_lines( Y,
% 25.79/26.21 skol2 ), distinct_points( X, intersection_point( Y, skol2 ) ),
% 25.79/26.21 distinct_points( intersection_point( skol1, skol3 ), X ) }.
% 25.79/26.21 substitution0:
% 25.79/26.21 end
% 25.79/26.21 substitution1:
% 25.79/26.21 X := intersection_point( skol1, skol2 )
% 25.79/26.21 Y := skol3
% 25.79/26.21 end
% 25.79/26.21
% 25.79/26.21 resolution: (3226) {G1,W7,D3,L1,V0,M1} { distinct_points(
% 25.79/26.21 intersection_point( skol1, skol3 ), intersection_point( skol1, skol2 ) )
% 25.79/26.21 }.
% 25.79/26.21 parent0[0]: (3225) {G3,W10,D3,L2,V0,M2} { ! convergent_lines( skol3, skol2
% 25.79/26.21 ), distinct_points( intersection_point( skol1, skol3 ),
% 25.79/26.21 intersection_point( skol1, skol2 ) ) }.
% 25.79/26.21 parent1[0]: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol2 )
% 25.79/26.21 }.
% 25.79/26.21 substitution0:
% 25.79/26.21 end
% 25.79/26.21 substitution1:
% 25.79/26.21 end
% 25.79/26.21
% 25.79/26.21 subsumption: (1832) {G8,W7,D3,L1,V0,M1} R(1766,217);r(15) { distinct_points
% 25.79/26.21 ( intersection_point( skol1, skol3 ), intersection_point( skol1, skol2 )
% 25.79/26.21 ) }.
% 25.79/26.21 parent0: (3226) {G1,W7,D3,L1,V0,M1} { distinct_points( intersection_point
% 25.79/26.21 ( skol1, skol3 ), intersection_point( skol1, skol2 ) ) }.
% 25.79/26.21 substitution0:
% 25.79/26.21 end
% 25.79/26.21 permutation0:
% 25.79/26.21 0 ==> 0
% 25.79/26.21 end
% 25.79/26.21
% 25.79/26.21 resolution: (3227) {G2,W7,D3,L1,V0,M1} { distinct_points(
% 25.79/26.21 intersection_point( skol1, skol2 ), intersection_point( skol1, skol3 ) )
% 25.79/26.21 }.
% 25.79/26.21 parent0[0]: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 25.79/26.21 distinct_points( X, Y ) }.
% 25.79/26.21 parent1[0]: (1832) {G8,W7,D3,L1,V0,M1} R(1766,217);r(15) { distinct_points
% 25.79/26.21 ( intersection_point( skol1, skol3 ), intersection_point( skol1, skol2 )
% 25.79/26.21 ) }.
% 25.79/26.21 substitution0:
% 25.79/26.21 X := intersection_point( skol1, skol2 )
% 25.79/26.21 Y := intersection_point( skol1, skol3 )
% 25.79/26.21 end
% 25.79/26.21 substitution1:
% 25.79/26.21 end
% 25.79/26.21
% 25.79/26.21 subsumption: (1894) {G9,W7,D3,L1,V0,M1} R(1832,21) { distinct_points(
% 25.79/26.21 intersection_point( skol1, skol2 ), intersection_point( skol1, skol3 ) )
% 25.79/26.21 }.
% 25.79/26.21 parent0: (3227) {G2,W7,D3,L1,V0,M1} { distinct_points( intersection_point
% 25.79/26.21 ( skol1, skol2 ), intersection_point( skol1, skol3 ) ) }.
% 25.79/26.21 substitution0:
% 25.79/26.21 end
% 25.79/26.21 permutation0:
% 25.79/26.21 0 ==> 0
% 25.79/26.21 end
% 25.79/26.21
% 25.79/26.21 resolution: (3228) {G3,W16,D3,L4,V0,M4} { ! convergent_lines( skol1, skol3
% 25.79/26.21 ), ! distinct_points( intersection_point( skol1, skol2 ),
% 25.79/26.21 intersection_point( skol1, skol3 ) ), ! distinct_lines( skol3, skol1 ), !
% 25.79/26.21 convergent_lines( skol1, skol3 ) }.
% 25.79/26.21 parent0[1]: (135) {G2,W8,D3,L2,V2,M1} F(128);r(0) { ! convergent_lines( X,
% 25.79/26.21 Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 25.79/26.21 parent1[3]: (1647) {G4,W18,D3,L4,V1,M1} R(1506,136) { ! distinct_points(
% 25.79/26.21 intersection_point( skol1, skol2 ), intersection_point( X, skol3 ) ), !
% 25.79/26.21 distinct_lines( skol3, skol1 ), ! convergent_lines( X, skol3 ),
% 25.79/26.21 apart_point_and_line( intersection_point( X, skol3 ), skol1 ) }.
% 25.79/26.21 substitution0:
% 25.79/26.21 X := skol1
% 25.79/26.21 Y := skol3
% 25.79/26.21 end
% 25.79/26.21 substitution1:
% 25.79/26.21 X := skol1
% 25.79/26.21 end
% 25.79/26.21
% 25.79/26.21 resolution: (3230) {G4,W9,D2,L3,V0,M3} { ! convergent_lines( skol1, skol3
% 25.79/26.21 ), ! distinct_lines( skol3, skol1 ), ! convergent_lines( skol1, skol3 )
% 25.79/26.21 }.
% 25.79/26.21 parent0[1]: (3228) {G3,W16,D3,L4,V0,M4} { ! convergent_lines( skol1, skol3
% 25.79/26.21 ), ! distinct_points( intersection_point( skol1, skol2 ),
% 25.79/26.21 intersection_point( skol1, skol3 ) ), ! distinct_lines( skol3, skol1 ), !
% 25.79/26.21 convergent_lines( skol1, skol3 ) }.
% 25.79/26.21 parent1[0]: (1894) {G9,W7,D3,L1,V0,M1} R(1832,21) { distinct_points(
% 25.79/26.21 intersection_point( skol1, skol2 ), intersection_point( skol1, skol3 ) )
% 25.79/26.21 }.
% 25.79/26.21 substitution0:
% 25.79/26.21 end
% 25.79/26.21 substitution1:
% 25.79/26.21 end
% 25.79/26.21
% 25.79/26.21 factor: (3231) {G4,W6,D2,L2,V0,M2} { ! convergent_lines( skol1, skol3 ), !
% 25.79/26.21 distinct_lines( skol3, skol1 ) }.
% 25.79/26.21 parent0[0, 2]: (3230) {G4,W9,D2,L3,V0,M3} { ! convergent_lines( skol1,
% 25.79/26.21 skol3 ), ! distinct_lines( skol3, skol1 ), ! convergent_lines( skol1,
% 25.79/26.21 skol3 ) }.
% 25.79/26.21 substitution0:
% 25.79/26.21 end
% 25.79/26.21
% 25.79/26.21 subsumption: (2548) {G10,W6,D2,L2,V0,M1} R(1647,135);f;r(1894) { !
% 25.79/26.21 convergent_lines( skol1, skol3 ), ! distinct_lines( skol3, skol1 ) }.
% 25.79/26.21 parent0: (3231) {G4,W6,D2,L2,V0,M2} { ! convergent_lines( skol1, skol3 ),
% 25.79/26.21 ! distinct_lines( skol3, skol1 ) }.
% 25.79/26.21 substitution0:
% 25.79/26.21 end
% 25.79/26.21 permutation0:
% 25.79/26.21 0 ==> 0
% 25.79/26.21 1 ==> 1
% 25.79/26.21 end
% 25.79/26.21
% 25.79/26.21 resolution: (3232) {G1,W3,D2,L1,V0,M1} { ! distinct_lines( skol3, skol1 )
% 25.79/26.21 }.
% 25.79/26.21 parent0[0]: (2548) {G10,W6,D2,L2,V0,M1} R(1647,135);f;r(1894) { !
% 25.79/26.21 convergent_lines( skol1, skol3 ), ! distinct_lines( skol3, skol1 ) }.
% 25.79/26.21 parent1[0]: (16) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol3 )
% 25.79/26.21 }.
% 25.79/26.21 substitution0:
% 25.79/26.21 end
% 25.79/26.21 substitution1:
% 25.79/26.21 end
% 25.79/26.21
% 25.79/26.21 subsumption: (2549) {G11,W3,D2,L1,V0,M1} S(2548);r(16) { ! distinct_lines(
% 25.79/26.21 skol3, skol1 ) }.
% 25.79/26.21 parent0: (3232) {G1,W3,D2,L1,V0,M1} { ! distinct_lines( skol3, skol1 ) }.
% 25.79/26.21 substitution0:
% 25.79/26.21 end
% 25.79/26.21 permutation0:
% 25.79/26.21 0 ==> 0
% 25.79/26.21 end
% 25.79/26.21
% 25.79/26.21 resolution: (3233) {G3,W3,D2,L1,V0,M1} { ! convergent_lines( skol1, skol3
% 25.79/26.21 ) }.
% 25.79/26.21 parent0[0]: (2549) {G11,W3,D2,L1,V0,M1} S(2548);r(16) { ! distinct_lines(
% 25.79/26.21 skol3, skol1 ) }.
% 25.79/26.21 parent1[1]: (29) {G2,W6,D2,L2,V2,M1} R(13,26) { ! convergent_lines( X, Y )
% 25.79/26.21 , distinct_lines( Y, X ) }.
% 25.79/26.21 substitution0:
% 25.79/26.21 end
% 25.79/26.21 substitution1:
% 25.79/26.21 X := skol1
% 25.79/26.21 Y := skol3
% 25.79/26.21 end
% 25.79/26.21
% 25.79/26.21 resolution: (3234) {G1,W0,D0,L0,V0,M0} { }.
% 25.79/26.21 parent0[0]: (3233) {G3,W3,D2,L1,V0,M1} { ! convergent_lines( skol1, skol3
% 25.79/26.21 ) }.
% 25.79/26.21 parent1[0]: (16) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol3 )
% 25.79/26.21 }.
% 25.79/26.21 substitution0:
% 25.79/26.21 end
% 25.79/26.21 substitution1:
% 25.79/26.21 end
% 25.79/26.21
% 25.79/26.21 subsumption: (3061) {G12,W0,D0,L0,V0,M0} R(2549,29);r(16) { }.
% 25.79/26.21 parent0: (3234) {G1,W0,D0,L0,V0,M0} { }.
% 25.79/26.21 substitution0:
% 25.79/26.21 end
% 25.79/26.21 permutation0:
% 25.79/26.21 end
% 25.79/26.21
% 25.79/26.21 Proof check complete!
% 25.79/26.21
% 25.79/26.21 Memory use:
% 25.79/26.21
% 25.79/26.21 space for terms: 48938
% 25.79/26.21 space for clauses: 107732
% 25.79/26.21
% 25.79/26.21
% 25.79/26.21 clauses generated: 912630
% 25.79/26.21 clauses kept: 3062
% 25.79/26.21 clauses selected: 2184
% 25.79/26.21 clauses deleted: 9
% 25.79/26.21 clauses inuse deleted: 0
% 25.79/26.21
% 25.79/26.21 subsentry: 4062845
% 25.79/26.21 literals s-matched: 1475610
% 25.79/26.21 literals matched: 1475565
% 25.79/26.21 full subsumption: 1315671
% 25.79/26.21
% 25.79/26.21 checksum: -1623980159
% 25.79/26.21
% 25.79/26.21
% 25.79/26.21 Bliksem ended
%------------------------------------------------------------------------------