TSTP Solution File: GEO197+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO197+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:52:36 EDT 2022
% Result : Theorem 25.07s 25.44s
% Output : Refutation 25.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO197+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jun 18 09:55:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 25.07/25.44 *** allocated 10000 integers for termspace/termends
% 25.07/25.44 *** allocated 10000 integers for clauses
% 25.07/25.44 *** allocated 10000 integers for justifications
% 25.07/25.44 Bliksem 1.12
% 25.07/25.44
% 25.07/25.44
% 25.07/25.44 Automatic Strategy Selection
% 25.07/25.44
% 25.07/25.44
% 25.07/25.44 Clauses:
% 25.07/25.44
% 25.07/25.44 { ! distinct_points( X, X ) }.
% 25.07/25.44 { ! distinct_lines( X, X ) }.
% 25.07/25.44 { ! convergent_lines( X, X ) }.
% 25.07/25.44 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 25.07/25.44 ) }.
% 25.07/25.44 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 25.07/25.44 }.
% 25.07/25.44 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 25.07/25.44 , Z ) }.
% 25.07/25.44 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 25.07/25.44 , Y ) ), distinct_points( Z, X ) }.
% 25.07/25.44 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 25.07/25.44 , Y ) ), distinct_points( Z, Y ) }.
% 25.07/25.44 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, X ),
% 25.07/25.44 distinct_points( Z, intersection_point( X, Y ) ) }.
% 25.07/25.44 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, Y ),
% 25.07/25.44 distinct_points( Z, intersection_point( X, Y ) ) }.
% 25.07/25.44 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 25.07/25.44 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 25.07/25.44 apart_point_and_line( Y, T ) }.
% 25.07/25.44 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 25.07/25.44 apart_point_and_line( Z, Y ) }.
% 25.07/25.44 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 25.07/25.44 apart_point_and_line( X, Z ) }.
% 25.07/25.44 { ! convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 25.07/25.44 { convergent_lines( skol1, skol2 ) }.
% 25.07/25.44 { convergent_lines( skol3, skol2 ) }.
% 25.07/25.44 { convergent_lines( skol1, skol3 ) }.
% 25.07/25.44 { ! apart_point_and_line( intersection_point( skol1, skol2 ), skol3 ) }.
% 25.07/25.44 { apart_point_and_line( intersection_point( skol3, skol2 ), skol1 ) }.
% 25.07/25.44
% 25.07/25.44 percentage equality = 0.000000, percentage horn = 0.684211
% 25.07/25.44 This a non-horn, non-equality problem
% 25.07/25.44
% 25.07/25.44
% 25.07/25.44 Options Used:
% 25.07/25.44
% 25.07/25.44 useres = 1
% 25.07/25.44 useparamod = 0
% 25.07/25.44 useeqrefl = 0
% 25.07/25.44 useeqfact = 0
% 25.07/25.44 usefactor = 1
% 25.07/25.44 usesimpsplitting = 0
% 25.07/25.44 usesimpdemod = 0
% 25.07/25.44 usesimpres = 3
% 25.07/25.44
% 25.07/25.44 resimpinuse = 1000
% 25.07/25.44 resimpclauses = 20000
% 25.07/25.44 substype = standard
% 25.07/25.44 backwardsubs = 1
% 25.07/25.44 selectoldest = 5
% 25.07/25.44
% 25.07/25.44 litorderings [0] = split
% 25.07/25.44 litorderings [1] = liftord
% 25.07/25.44
% 25.07/25.44 termordering = none
% 25.07/25.44
% 25.07/25.44 litapriori = 1
% 25.07/25.44 termapriori = 0
% 25.07/25.44 litaposteriori = 0
% 25.07/25.44 termaposteriori = 0
% 25.07/25.44 demodaposteriori = 0
% 25.07/25.44 ordereqreflfact = 0
% 25.07/25.44
% 25.07/25.44 litselect = none
% 25.07/25.44
% 25.07/25.44 maxweight = 15
% 25.07/25.44 maxdepth = 30000
% 25.07/25.44 maxlength = 115
% 25.07/25.44 maxnrvars = 195
% 25.07/25.44 excuselevel = 1
% 25.07/25.44 increasemaxweight = 1
% 25.07/25.44
% 25.07/25.44 maxselected = 10000000
% 25.07/25.44 maxnrclauses = 10000000
% 25.07/25.44
% 25.07/25.44 showgenerated = 0
% 25.07/25.44 showkept = 0
% 25.07/25.44 showselected = 0
% 25.07/25.44 showdeleted = 0
% 25.07/25.44 showresimp = 1
% 25.07/25.44 showstatus = 2000
% 25.07/25.44
% 25.07/25.44 prologoutput = 0
% 25.07/25.44 nrgoals = 5000000
% 25.07/25.44 totalproof = 1
% 25.07/25.44
% 25.07/25.44 Symbols occurring in the translation:
% 25.07/25.44
% 25.07/25.44 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 25.07/25.44 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 25.07/25.44 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 25.07/25.44 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 25.07/25.44 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 25.07/25.44 distinct_points [36, 2] (w:1, o:44, a:1, s:1, b:0),
% 25.07/25.44 distinct_lines [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 25.07/25.44 convergent_lines [38, 2] (w:1, o:43, a:1, s:1, b:0),
% 25.07/25.44 line_connecting [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 25.07/25.44 apart_point_and_line [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 25.07/25.44 intersection_point [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 25.07/25.44 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 25.07/25.44 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 25.07/25.44 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0).
% 25.07/25.44
% 25.07/25.44
% 25.07/25.44 Starting Search:
% 25.07/25.44
% 25.07/25.44 *** allocated 15000 integers for clauses
% 25.07/25.44 *** allocated 22500 integers for clauses
% 25.07/25.44 *** allocated 33750 integers for clauses
% 25.07/25.44 *** allocated 15000 integers for termspace/termends
% 25.07/25.44 Resimplifying inuse:
% 25.07/25.44 Done
% 25.07/25.44
% 25.07/25.44 Failed to find proof!
% 25.07/25.44 maxweight = 15
% 25.07/25.44 maxnrclauses = 10000000
% 25.07/25.44 Generated: 121376
% 25.07/25.44 Kept: 885
% 25.07/25.44
% 25.07/25.44
% 25.07/25.44 The strategy used was not complete!
% 25.07/25.44
% 25.07/25.44 Increased maxweight to 16
% 25.07/25.44
% 25.07/25.44 Starting Search:
% 25.07/25.44
% 25.07/25.44 *** allocated 50625 integers for clauses
% 25.07/25.44 Resimplifying inuse:
% 25.07/25.44 Done
% 25.07/25.44
% 25.07/25.44 *** allocated 22500 integers for termspace/termends
% 25.07/25.44 Resimplifying inuse:
% 25.07/25.44 Done
% 25.07/25.44
% 25.07/25.44 Failed to find proof!
% 25.07/25.44 maxweight = 16
% 25.07/25.44 maxnrclauses = 10000000
% 25.07/25.44 Generated: 396154
% 25.07/25.44 Kept: 1241
% 25.07/25.44
% 25.07/25.44
% 25.07/25.44 The strategy used was not complete!
% 25.07/25.44
% 25.07/25.44 Increased maxweight to 17
% 25.07/25.44
% 25.07/25.44 Starting Search:
% 25.07/25.44
% 25.07/25.44 Resimplifying inuse:
% 25.07/25.44 Done
% 25.07/25.44
% 25.07/25.44 *** allocated 75937 integers for clauses
% 25.07/25.44 *** allocated 33750 integers for termspace/termends
% 25.07/25.44 Resimplifying inuse:
% 25.07/25.44 Done
% 25.07/25.44
% 25.07/25.44 Failed to find proof!
% 25.07/25.44 maxweight = 17
% 25.07/25.44 maxnrclauses = 10000000
% 25.07/25.44 Generated: 535654
% 25.07/25.44 Kept: 1637
% 25.07/25.44
% 25.07/25.44
% 25.07/25.44 The strategy used was not complete!
% 25.07/25.44
% 25.07/25.44 Increased maxweight to 18
% 25.07/25.44
% 25.07/25.44 Starting Search:
% 25.07/25.44
% 25.07/25.44 Resimplifying inuse:
% 25.07/25.44 Done
% 25.07/25.44
% 25.07/25.44
% 25.07/25.44 Intermediate Status:
% 25.07/25.44 Generated: 125731
% 25.07/25.44 Kept: 2050
% 25.07/25.44 Inuse: 821
% 25.07/25.44 Deleted: 2
% 25.07/25.44 Deletedinuse: 0
% 25.07/25.44
% 25.07/25.44 Resimplifying inuse:
% 25.07/25.44 Done
% 25.07/25.44
% 25.07/25.44 *** allocated 50625 integers for termspace/termends
% 25.07/25.44 *** allocated 113905 integers for clauses
% 25.07/25.44
% 25.07/25.44 Bliksems!, er is een bewijs:
% 25.07/25.44 % SZS status Theorem
% 25.07/25.44 % SZS output start Refutation
% 25.07/25.44
% 25.07/25.44 (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 25.07/25.44 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 25.07/25.44 (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 25.07/25.44 (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 25.07/25.44 ), ! distinct_points( X, Y ) }.
% 25.07/25.44 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 25.07/25.44 , ! distinct_lines( X, Y ) }.
% 25.07/25.44 (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), convergent_lines( Y,
% 25.07/25.44 Z ), ! convergent_lines( X, Y ) }.
% 25.07/25.44 (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), distinct_points( Z
% 25.07/25.44 , intersection_point( X, Y ) ), ! apart_point_and_line( Z, X ) }.
% 25.07/25.44 (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), distinct_points( Z
% 25.07/25.44 , intersection_point( X, Y ) ), ! apart_point_and_line( Z, Y ) }.
% 25.07/25.44 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 25.07/25.44 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 25.07/25.44 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 25.07/25.44 (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 25.07/25.44 ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 25.07/25.44 (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ), apart_point_and_line(
% 25.07/25.44 X, Z ), ! apart_point_and_line( X, Y ) }.
% 25.07/25.44 (13) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ), distinct_lines( X
% 25.07/25.44 , Y ) }.
% 25.07/25.44 (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 ) }.
% 25.07/25.44 (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol2 ) }.
% 25.07/25.44 (16) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol3 ) }.
% 25.07/25.44 (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( intersection_point(
% 25.07/25.44 skol1, skol2 ), skol3 ) }.
% 25.07/25.44 (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( intersection_point(
% 25.07/25.44 skol3, skol2 ), skol1 ) }.
% 25.07/25.44 (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 25.07/25.44 distinct_points( X, Y ) }.
% 25.07/25.44 (26) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 25.07/25.44 ( X, Y ) }.
% 25.07/25.44 (29) {G2,W6,D2,L2,V2,M1} R(13,26) { ! convergent_lines( X, Y ),
% 25.07/25.44 distinct_lines( Y, X ) }.
% 25.07/25.44 (40) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 25.07/25.44 convergent_lines( X, Y ) }.
% 25.07/25.44 (44) {G2,W3,D2,L1,V0,M1} R(40,15) { convergent_lines( skol2, skol3 ) }.
% 25.07/25.44 (45) {G2,W3,D2,L1,V0,M1} R(40,16) { convergent_lines( skol3, skol1 ) }.
% 25.07/25.44 (106) {G1,W19,D3,L5,V2,M3} R(10,17) { ! distinct_points( intersection_point
% 25.07/25.44 ( skol1, skol2 ), X ), ! distinct_lines( Y, skol3 ), apart_point_and_line
% 25.07/25.44 ( X, skol3 ), apart_point_and_line( intersection_point( skol1, skol2 ), Y
% 25.07/25.44 ), apart_point_and_line( X, Y ) }.
% 25.07/25.44 (109) {G1,W19,D3,L5,V2,M3} R(10,17) { ! distinct_points( intersection_point
% 25.07/25.44 ( skol1, skol2 ), X ), ! distinct_lines( skol3, Y ), apart_point_and_line
% 25.07/25.44 ( X, skol3 ), apart_point_and_line( X, Y ), apart_point_and_line(
% 25.07/25.44 intersection_point( skol1, skol2 ), Y ) }.
% 25.07/25.44 (127) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y ), !
% 25.07/25.44 convergent_lines( T, Z ), distinct_points( Y, intersection_point( T, Z )
% 25.07/25.44 ), ! apart_point_and_line( X, Z ) }.
% 25.07/25.44 (128) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y ), !
% 25.07/25.44 convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z, T )
% 25.07/25.44 ), ! apart_point_and_line( X, Z ) }.
% 25.07/25.44 (132) {G1,W8,D3,L2,V1,M1} R(11,18) { distinct_points( intersection_point(
% 25.07/25.44 skol3, skol2 ), X ), apart_point_and_line( X, skol1 ) }.
% 25.07/25.44 (135) {G2,W8,D3,L2,V2,M1} F(128);r(0) { ! convergent_lines( X, Y ), !
% 25.07/25.44 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 25.07/25.44 (136) {G2,W8,D3,L2,V2,M1} F(127);r(0) { ! convergent_lines( X, Y ), !
% 25.07/25.44 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 25.07/25.44 (152) {G1,W8,D3,L2,V1,M1} R(12,18) { distinct_lines( skol1, X ),
% 25.07/25.44 apart_point_and_line( intersection_point( skol3, skol2 ), X ) }.
% 25.07/25.44 (158) {G3,W3,D2,L1,V0,M1} R(152,135);r(15) { distinct_lines( skol1, skol3 )
% 25.07/25.44 }.
% 25.07/25.44 (217) {G2,W13,D3,L3,V2,M2} R(132,9) { ! convergent_lines( Y, skol1 ),
% 25.07/25.44 distinct_points( X, intersection_point( Y, skol1 ) ), distinct_points(
% 25.07/25.44 intersection_point( skol3, skol2 ), X ) }.
% 25.07/25.44 (1457) {G4,W14,D3,L4,V1,M1} R(106,135);r(158) { ! distinct_points(
% 25.07/25.44 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol1 )
% 25.07/25.44 , ! convergent_lines( skol1, skol2 ), apart_point_and_line( X, skol3 )
% 25.07/25.44 }.
% 25.07/25.44 (1506) {G3,W14,D3,L4,V1,M1} R(109,136);r(14) { ! distinct_points(
% 25.07/25.44 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol3, skol2 )
% 25.07/25.44 , apart_point_and_line( X, skol2 ), apart_point_and_line( X, skol3 ) }.
% 25.07/25.44 (1646) {G4,W18,D3,L4,V1,M1} R(1506,135) { ! distinct_points(
% 25.07/25.44 intersection_point( skol1, skol2 ), intersection_point( skol3, X ) ), !
% 25.07/25.44 distinct_lines( skol3, skol2 ), ! convergent_lines( skol3, X ),
% 25.07/25.44 apart_point_and_line( intersection_point( skol3, X ), skol2 ) }.
% 25.07/25.44 (1706) {G5,W11,D3,L3,V1,M1} S(1457);r(14) { ! distinct_points(
% 25.07/25.44 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol1 )
% 25.07/25.44 , apart_point_and_line( X, skol3 ) }.
% 25.07/25.44 (1732) {G6,W15,D3,L3,V1,M1} R(1706,135) { ! distinct_points(
% 25.07/25.44 intersection_point( skol1, skol2 ), intersection_point( skol3, X ) ), !
% 25.07/25.44 convergent_lines( skol3, X ), apart_point_and_line( intersection_point(
% 25.07/25.44 skol3, X ), skol1 ) }.
% 25.07/25.44 (1766) {G7,W7,D3,L1,V0,M1} R(1732,136);f;r(45) { ! distinct_points(
% 25.07/25.44 intersection_point( skol1, skol2 ), intersection_point( skol3, skol1 ) )
% 25.07/25.44 }.
% 25.07/25.44 (1832) {G8,W7,D3,L1,V0,M1} R(1766,217);r(45) { distinct_points(
% 25.07/25.44 intersection_point( skol3, skol2 ), intersection_point( skol1, skol2 ) )
% 25.07/25.44 }.
% 25.07/25.44 (1895) {G9,W7,D3,L1,V0,M1} R(1832,21) { distinct_points( intersection_point
% 25.07/25.44 ( skol1, skol2 ), intersection_point( skol3, skol2 ) ) }.
% 25.07/25.44 (2268) {G10,W6,D2,L2,V0,M1} R(1646,136);f;r(1895) { ! convergent_lines(
% 25.07/25.44 skol3, skol2 ), ! distinct_lines( skol3, skol2 ) }.
% 25.07/25.44 (2269) {G11,W3,D2,L1,V0,M1} S(2268);r(15) { ! distinct_lines( skol3, skol2
% 25.07/25.44 ) }.
% 25.07/25.44 (2781) {G12,W0,D0,L0,V0,M0} R(2269,29);r(44) { }.
% 25.07/25.44
% 25.07/25.44
% 25.07/25.44 % SZS output end Refutation
% 25.07/25.44 found a proof!
% 25.07/25.44
% 25.07/25.44
% 25.07/25.44 Unprocessed initial clauses:
% 25.07/25.44
% 25.07/25.44 (2783) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 25.07/25.44 (2784) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 25.07/25.44 (2785) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 25.07/25.44 (2786) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 25.07/25.44 , Z ), distinct_points( Y, Z ) }.
% 25.07/25.44 (2787) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 25.07/25.44 Z ), distinct_lines( Y, Z ) }.
% 25.07/25.44 (2788) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 25.07/25.44 ( X, Z ), convergent_lines( Y, Z ) }.
% 25.07/25.44 (2789) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 25.07/25.44 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 25.07/25.44 ) }.
% 25.07/25.44 (2790) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 25.07/25.44 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 25.07/25.44 ) }.
% 25.07/25.44 (2791) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 25.07/25.44 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 25.07/25.44 Y ) ) }.
% 25.07/25.44 (2792) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 25.07/25.44 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 25.07/25.44 Y ) ) }.
% 25.07/25.44 (2793) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 25.07/25.44 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 25.07/25.44 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 25.07/25.44 (2794) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 25.07/25.44 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 25.07/25.44 (2795) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 25.07/25.44 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 25.07/25.44 (2796) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ), distinct_lines( X
% 25.07/25.44 , Y ) }.
% 25.07/25.44 (2797) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 25.07/25.44 (2798) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol2 ) }.
% 25.07/25.44 (2799) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol3 ) }.
% 25.07/25.44 (2800) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( intersection_point(
% 25.07/25.44 skol1, skol2 ), skol3 ) }.
% 25.07/25.44 (2801) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( intersection_point(
% 25.07/25.44 skol3, skol2 ), skol1 ) }.
% 25.07/25.44
% 25.07/25.44
% 25.07/25.44 Total Proof:
% 25.07/25.44
% 25.07/25.44 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 25.07/25.44 parent0: (2783) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 25.07/25.44 substitution0:
% 25.07/25.44 X := X
% 25.07/25.44 end
% 25.07/25.44 permutation0:
% 25.07/25.44 0 ==> 0
% 25.07/25.44 end
% 25.07/25.44
% 25.07/25.44 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 25.07/25.44 parent0: (2784) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 25.07/25.44 substitution0:
% 25.07/25.44 X := X
% 25.07/25.44 end
% 25.07/25.44 permutation0:
% 25.07/25.44 0 ==> 0
% 25.07/25.44 end
% 25.07/25.44
% 25.07/25.44 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 25.07/25.44 parent0: (2785) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 25.07/25.44 substitution0:
% 25.07/25.44 X := X
% 25.07/25.44 end
% 25.07/25.44 permutation0:
% 25.07/25.44 0 ==> 0
% 25.07/25.44 end
% 25.07/25.44
% 25.07/25.44 subsumption: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 25.07/25.44 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 25.07/25.44 parent0: (2786) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ),
% 25.07/25.44 distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 25.07/25.44 substitution0:
% 25.07/25.44 X := X
% 25.07/25.44 Y := Y
% 25.07/25.44 Z := Z
% 25.07/25.44 end
% 25.07/25.44 permutation0:
% 25.07/25.44 0 ==> 2
% 25.07/25.44 1 ==> 0
% 25.07/25.44 2 ==> 1
% 25.07/25.44 end
% 25.07/25.44
% 25.07/25.44 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 25.07/25.44 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 25.07/25.44 parent0: (2787) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 25.07/25.44 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 25.07/25.44 substitution0:
% 25.07/25.44 X := X
% 25.07/25.44 Y := Y
% 25.07/25.44 Z := Z
% 25.07/25.44 end
% 25.07/25.44 permutation0:
% 25.07/25.44 0 ==> 2
% 25.07/25.44 1 ==> 0
% 25.07/25.44 2 ==> 1
% 25.07/25.44 end
% 25.07/25.44
% 25.07/25.44 subsumption: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 25.07/25.44 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 25.07/25.44 parent0: (2788) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 25.07/25.44 convergent_lines( X, Z ), convergent_lines( Y, Z ) }.
% 25.07/25.44 substitution0:
% 25.07/25.44 X := X
% 25.07/25.44 Y := Y
% 25.07/25.44 Z := Z
% 25.07/25.44 end
% 25.07/25.44 permutation0:
% 25.07/25.44 0 ==> 2
% 25.07/25.44 1 ==> 0
% 25.07/25.44 2 ==> 1
% 25.07/25.44 end
% 25.07/25.44
% 25.07/25.44 subsumption: (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 25.07/25.44 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 25.07/25.44 ( Z, X ) }.
% 25.07/25.44 parent0: (2791) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 25.07/25.44 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 25.07/25.44 Y ) ) }.
% 25.07/25.44 substitution0:
% 25.07/25.44 X := X
% 25.07/25.44 Y := Y
% 25.07/25.44 Z := Z
% 25.07/25.44 end
% 25.07/25.44 permutation0:
% 25.07/25.44 0 ==> 0
% 25.07/25.44 1 ==> 2
% 25.07/25.44 2 ==> 1
% 25.07/25.44 end
% 25.07/25.44
% 25.07/25.44 subsumption: (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 25.07/25.44 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 25.07/25.44 ( Z, Y ) }.
% 25.07/25.44 parent0: (2792) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 25.07/25.44 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 25.07/25.44 Y ) ) }.
% 25.07/25.44 substitution0:
% 25.07/25.44 X := X
% 25.07/25.44 Y := Y
% 25.07/25.44 Z := Z
% 25.07/25.44 end
% 25.07/25.44 permutation0:
% 25.07/25.44 0 ==> 0
% 25.07/25.44 1 ==> 2
% 25.07/25.44 2 ==> 1
% 25.07/25.44 end
% 25.07/25.44
% 25.07/25.44 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 25.07/25.44 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 25.07/25.44 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 25.07/25.44 apart_point_and_line( X, Z ) }.
% 25.07/25.44 parent0: (2793) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 25.07/25.44 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 25.07/25.44 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 25.07/25.44 apart_point_and_line( Y, T ) }.
% 25.07/25.44 substitution0:
% 25.07/25.44 X := X
% 25.07/25.44 Y := Y
% 25.07/25.44 Z := Z
% 25.07/25.44 T := T
% 25.07/25.44 end
% 25.07/25.44 permutation0:
% 25.07/25.44 0 ==> 0
% 25.07/25.44 1 ==> 1
% 25.07/25.44 2 ==> 5
% 25.07/25.44 3 ==> 2
% 25.07/25.44 4 ==> 3
% 25.07/25.44 5 ==> 4
% 25.07/25.44 end
% 25.07/25.44
% 25.07/25.44 subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 25.07/25.44 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 25.07/25.44 parent0: (2794) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 25.07/25.44 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 25.07/25.44 substitution0:
% 25.07/25.44 X := X
% 25.07/25.44 Y := Y
% 25.07/25.44 Z := Z
% 25.07/25.44 end
% 25.07/25.44 permutation0:
% 25.07/25.44 0 ==> 2
% 25.07/25.44 1 ==> 0
% 25.07/25.44 2 ==> 1
% 25.07/25.44 end
% 25.07/25.44
% 25.07/25.44 subsumption: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 25.07/25.44 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 25.07/25.44 parent0: (2795) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 25.07/25.45 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := X
% 25.07/25.45 Y := Y
% 25.07/25.45 Z := Z
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 2
% 25.07/25.45 1 ==> 0
% 25.07/25.45 2 ==> 1
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (13) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ),
% 25.07/25.45 distinct_lines( X, Y ) }.
% 25.07/25.45 parent0: (2796) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 25.07/25.45 distinct_lines( X, Y ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := X
% 25.07/25.45 Y := Y
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 0
% 25.07/25.45 1 ==> 1
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 25.07/25.45 }.
% 25.07/25.45 parent0: (2797) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 0
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol2 )
% 25.07/25.45 }.
% 25.07/25.45 parent0: (2798) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol2 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 0
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (16) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol3 )
% 25.07/25.45 }.
% 25.07/25.45 parent0: (2799) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol3 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 0
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 25.07/25.45 intersection_point( skol1, skol2 ), skol3 ) }.
% 25.07/25.45 parent0: (2800) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line(
% 25.07/25.45 intersection_point( skol1, skol2 ), skol3 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 0
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line(
% 25.07/25.45 intersection_point( skol3, skol2 ), skol1 ) }.
% 25.07/25.45 parent0: (2801) {G0,W5,D3,L1,V0,M1} { apart_point_and_line(
% 25.07/25.45 intersection_point( skol3, skol2 ), skol1 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 0
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2895) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 25.07/25.45 distinct_points( X, Y ) }.
% 25.07/25.45 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 25.07/25.45 parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 25.07/25.45 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := X
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 X := X
% 25.07/25.45 Y := Y
% 25.07/25.45 Z := X
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 25.07/25.45 distinct_points( X, Y ) }.
% 25.07/25.45 parent0: (2895) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 25.07/25.45 distinct_points( X, Y ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := Y
% 25.07/25.45 Y := X
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 1
% 25.07/25.45 1 ==> 0
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2897) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 25.07/25.45 distinct_lines( X, Y ) }.
% 25.07/25.45 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 25.07/25.45 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 25.07/25.45 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := X
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 X := X
% 25.07/25.45 Y := Y
% 25.07/25.45 Z := X
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (26) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 25.07/25.45 distinct_lines( X, Y ) }.
% 25.07/25.45 parent0: (2897) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 25.07/25.45 distinct_lines( X, Y ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := Y
% 25.07/25.45 Y := X
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 1
% 25.07/25.45 1 ==> 0
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2899) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 25.07/25.45 convergent_lines( X, Y ) }.
% 25.07/25.45 parent0[0]: (26) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 25.07/25.45 distinct_lines( X, Y ) }.
% 25.07/25.45 parent1[1]: (13) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ),
% 25.07/25.45 distinct_lines( X, Y ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := Y
% 25.07/25.45 Y := X
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 X := X
% 25.07/25.45 Y := Y
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (29) {G2,W6,D2,L2,V2,M1} R(13,26) { ! convergent_lines( X, Y )
% 25.07/25.45 , distinct_lines( Y, X ) }.
% 25.07/25.45 parent0: (2899) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 25.07/25.45 convergent_lines( X, Y ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := X
% 25.07/25.45 Y := Y
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 1
% 25.07/25.45 1 ==> 0
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2900) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 25.07/25.45 convergent_lines( X, Y ) }.
% 25.07/25.45 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 25.07/25.45 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 25.07/25.45 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := X
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 X := X
% 25.07/25.45 Y := Y
% 25.07/25.45 Z := X
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (40) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 25.07/25.45 convergent_lines( X, Y ) }.
% 25.07/25.45 parent0: (2900) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 25.07/25.45 convergent_lines( X, Y ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := Y
% 25.07/25.45 Y := X
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 1
% 25.07/25.45 1 ==> 0
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2902) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol2, skol3 )
% 25.07/25.45 }.
% 25.07/25.45 parent0[0]: (40) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 25.07/25.45 convergent_lines( X, Y ) }.
% 25.07/25.45 parent1[0]: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol2 )
% 25.07/25.45 }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := skol2
% 25.07/25.45 Y := skol3
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (44) {G2,W3,D2,L1,V0,M1} R(40,15) { convergent_lines( skol2,
% 25.07/25.45 skol3 ) }.
% 25.07/25.45 parent0: (2902) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol2, skol3 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 0
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2903) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol1 )
% 25.07/25.45 }.
% 25.07/25.45 parent0[0]: (40) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 25.07/25.45 convergent_lines( X, Y ) }.
% 25.07/25.45 parent1[0]: (16) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol3 )
% 25.07/25.45 }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := skol3
% 25.07/25.45 Y := skol1
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (45) {G2,W3,D2,L1,V0,M1} R(40,16) { convergent_lines( skol3,
% 25.07/25.45 skol1 ) }.
% 25.07/25.45 parent0: (2903) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol1 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 0
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2904) {G1,W19,D3,L5,V2,M5} { ! distinct_points(
% 25.07/25.45 intersection_point( skol1, skol2 ), X ), ! distinct_lines( Y, skol3 ),
% 25.07/25.45 apart_point_and_line( X, Y ), apart_point_and_line( X, skol3 ),
% 25.07/25.45 apart_point_and_line( intersection_point( skol1, skol2 ), Y ) }.
% 25.07/25.45 parent0[0]: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 25.07/25.45 intersection_point( skol1, skol2 ), skol3 ) }.
% 25.07/25.45 parent1[2]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 25.07/25.45 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 25.07/25.45 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 25.07/25.45 apart_point_and_line( X, Z ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 X := intersection_point( skol1, skol2 )
% 25.07/25.45 Y := X
% 25.07/25.45 Z := Y
% 25.07/25.45 T := skol3
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (106) {G1,W19,D3,L5,V2,M3} R(10,17) { ! distinct_points(
% 25.07/25.45 intersection_point( skol1, skol2 ), X ), ! distinct_lines( Y, skol3 ),
% 25.07/25.45 apart_point_and_line( X, skol3 ), apart_point_and_line(
% 25.07/25.45 intersection_point( skol1, skol2 ), Y ), apart_point_and_line( X, Y ) }.
% 25.07/25.45 parent0: (2904) {G1,W19,D3,L5,V2,M5} { ! distinct_points(
% 25.07/25.45 intersection_point( skol1, skol2 ), X ), ! distinct_lines( Y, skol3 ),
% 25.07/25.45 apart_point_and_line( X, Y ), apart_point_and_line( X, skol3 ),
% 25.07/25.45 apart_point_and_line( intersection_point( skol1, skol2 ), Y ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := X
% 25.07/25.45 Y := Y
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 0
% 25.07/25.45 1 ==> 1
% 25.07/25.45 2 ==> 4
% 25.07/25.45 3 ==> 2
% 25.07/25.45 4 ==> 3
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2916) {G1,W19,D3,L5,V2,M5} { ! distinct_points(
% 25.07/25.45 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol3, Y ),
% 25.07/25.45 apart_point_and_line( intersection_point( skol1, skol2 ), Y ),
% 25.07/25.45 apart_point_and_line( X, skol3 ), apart_point_and_line( X, Y ) }.
% 25.07/25.45 parent0[0]: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 25.07/25.45 intersection_point( skol1, skol2 ), skol3 ) }.
% 25.07/25.45 parent1[5]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 25.07/25.45 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 25.07/25.45 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 25.07/25.45 apart_point_and_line( X, Z ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 X := intersection_point( skol1, skol2 )
% 25.07/25.45 Y := X
% 25.07/25.45 Z := skol3
% 25.07/25.45 T := Y
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (109) {G1,W19,D3,L5,V2,M3} R(10,17) { ! distinct_points(
% 25.07/25.45 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol3, Y ),
% 25.07/25.45 apart_point_and_line( X, skol3 ), apart_point_and_line( X, Y ),
% 25.07/25.45 apart_point_and_line( intersection_point( skol1, skol2 ), Y ) }.
% 25.07/25.45 parent0: (2916) {G1,W19,D3,L5,V2,M5} { ! distinct_points(
% 25.07/25.45 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol3, Y ),
% 25.07/25.45 apart_point_and_line( intersection_point( skol1, skol2 ), Y ),
% 25.07/25.45 apart_point_and_line( X, skol3 ), apart_point_and_line( X, Y ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := X
% 25.07/25.45 Y := Y
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 0
% 25.07/25.45 1 ==> 1
% 25.07/25.45 2 ==> 4
% 25.07/25.45 3 ==> 2
% 25.07/25.45 4 ==> 3
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2922) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 25.07/25.45 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 25.07/25.45 , ! apart_point_and_line( T, Y ) }.
% 25.07/25.45 parent0[2]: (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 25.07/25.45 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 25.07/25.45 ( Z, Y ) }.
% 25.07/25.45 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 25.07/25.45 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := X
% 25.07/25.45 Y := Y
% 25.07/25.45 Z := Z
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 X := T
% 25.07/25.45 Y := Y
% 25.07/25.45 Z := Z
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (127) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y ),
% 25.07/25.45 ! convergent_lines( T, Z ), distinct_points( Y, intersection_point( T, Z
% 25.07/25.45 ) ), ! apart_point_and_line( X, Z ) }.
% 25.07/25.45 parent0: (2922) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 25.07/25.45 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 25.07/25.45 , ! apart_point_and_line( T, Y ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := T
% 25.07/25.45 Y := Z
% 25.07/25.45 Z := Y
% 25.07/25.45 T := X
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 1
% 25.07/25.45 1 ==> 2
% 25.07/25.45 2 ==> 0
% 25.07/25.45 3 ==> 3
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2924) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 25.07/25.45 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 25.07/25.45 , ! apart_point_and_line( T, X ) }.
% 25.07/25.45 parent0[2]: (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 25.07/25.45 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 25.07/25.45 ( Z, X ) }.
% 25.07/25.45 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 25.07/25.45 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := X
% 25.07/25.45 Y := Y
% 25.07/25.45 Z := Z
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 X := T
% 25.07/25.45 Y := X
% 25.07/25.45 Z := Z
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (128) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y ),
% 25.07/25.45 ! convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z, T
% 25.07/25.45 ) ), ! apart_point_and_line( X, Z ) }.
% 25.07/25.45 parent0: (2924) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 25.07/25.45 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 25.07/25.45 , ! apart_point_and_line( T, X ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := Z
% 25.07/25.45 Y := T
% 25.07/25.45 Z := Y
% 25.07/25.45 T := X
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 1
% 25.07/25.45 1 ==> 2
% 25.07/25.45 2 ==> 0
% 25.07/25.45 3 ==> 3
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2926) {G1,W8,D3,L2,V1,M2} { distinct_points(
% 25.07/25.45 intersection_point( skol3, skol2 ), X ), apart_point_and_line( X, skol1 )
% 25.07/25.45 }.
% 25.07/25.45 parent0[2]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 25.07/25.45 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 25.07/25.45 parent1[0]: (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line(
% 25.07/25.45 intersection_point( skol3, skol2 ), skol1 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := intersection_point( skol3, skol2 )
% 25.07/25.45 Y := skol1
% 25.07/25.45 Z := X
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (132) {G1,W8,D3,L2,V1,M1} R(11,18) { distinct_points(
% 25.07/25.45 intersection_point( skol3, skol2 ), X ), apart_point_and_line( X, skol1 )
% 25.07/25.45 }.
% 25.07/25.45 parent0: (2926) {G1,W8,D3,L2,V1,M2} { distinct_points( intersection_point
% 25.07/25.45 ( skol3, skol2 ), X ), apart_point_and_line( X, skol1 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := X
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 0
% 25.07/25.45 1 ==> 1
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 factor: (2927) {G1,W15,D3,L3,V2,M3} { distinct_points( intersection_point
% 25.07/25.45 ( X, Y ), intersection_point( X, Y ) ), ! convergent_lines( X, Y ), !
% 25.07/25.45 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 25.07/25.45 parent0[0, 2]: (128) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y )
% 25.07/25.45 , ! convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z,
% 25.07/25.45 T ) ), ! apart_point_and_line( X, Z ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := intersection_point( X, Y )
% 25.07/25.45 Y := intersection_point( X, Y )
% 25.07/25.45 Z := X
% 25.07/25.45 T := Y
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2928) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 25.07/25.45 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 25.07/25.45 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 25.07/25.45 parent1[0]: (2927) {G1,W15,D3,L3,V2,M3} { distinct_points(
% 25.07/25.45 intersection_point( X, Y ), intersection_point( X, Y ) ), !
% 25.07/25.45 convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X,
% 25.07/25.45 Y ), X ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := intersection_point( X, Y )
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 X := X
% 25.07/25.45 Y := Y
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (135) {G2,W8,D3,L2,V2,M1} F(128);r(0) { ! convergent_lines( X
% 25.07/25.45 , Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 25.07/25.45 parent0: (2928) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 25.07/25.45 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := X
% 25.07/25.45 Y := Y
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 0
% 25.07/25.45 1 ==> 1
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 factor: (2929) {G1,W15,D3,L3,V2,M3} { distinct_points( intersection_point
% 25.07/25.45 ( X, Y ), intersection_point( X, Y ) ), ! convergent_lines( X, Y ), !
% 25.07/25.45 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 25.07/25.45 parent0[0, 2]: (127) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y )
% 25.07/25.45 , ! convergent_lines( T, Z ), distinct_points( Y, intersection_point( T,
% 25.07/25.45 Z ) ), ! apart_point_and_line( X, Z ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := intersection_point( X, Y )
% 25.07/25.45 Y := intersection_point( X, Y )
% 25.07/25.45 Z := Y
% 25.07/25.45 T := X
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2930) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 25.07/25.45 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 25.07/25.45 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 25.07/25.45 parent1[0]: (2929) {G1,W15,D3,L3,V2,M3} { distinct_points(
% 25.07/25.45 intersection_point( X, Y ), intersection_point( X, Y ) ), !
% 25.07/25.45 convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X,
% 25.07/25.45 Y ), Y ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := intersection_point( X, Y )
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 X := X
% 25.07/25.45 Y := Y
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (136) {G2,W8,D3,L2,V2,M1} F(127);r(0) { ! convergent_lines( X
% 25.07/25.45 , Y ), ! apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 25.07/25.45 parent0: (2930) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 25.07/25.45 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := X
% 25.07/25.45 Y := Y
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 0
% 25.07/25.45 1 ==> 1
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2931) {G1,W8,D3,L2,V1,M2} { distinct_lines( skol1, X ),
% 25.07/25.45 apart_point_and_line( intersection_point( skol3, skol2 ), X ) }.
% 25.07/25.45 parent0[2]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 25.07/25.45 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 25.07/25.45 parent1[0]: (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line(
% 25.07/25.45 intersection_point( skol3, skol2 ), skol1 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := intersection_point( skol3, skol2 )
% 25.07/25.45 Y := skol1
% 25.07/25.45 Z := X
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (152) {G1,W8,D3,L2,V1,M1} R(12,18) { distinct_lines( skol1, X
% 25.07/25.45 ), apart_point_and_line( intersection_point( skol3, skol2 ), X ) }.
% 25.07/25.45 parent0: (2931) {G1,W8,D3,L2,V1,M2} { distinct_lines( skol1, X ),
% 25.07/25.45 apart_point_and_line( intersection_point( skol3, skol2 ), X ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := X
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 0
% 25.07/25.45 1 ==> 1
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2932) {G2,W6,D2,L2,V0,M2} { ! convergent_lines( skol3, skol2
% 25.07/25.45 ), distinct_lines( skol1, skol3 ) }.
% 25.07/25.45 parent0[1]: (135) {G2,W8,D3,L2,V2,M1} F(128);r(0) { ! convergent_lines( X,
% 25.07/25.45 Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 25.07/25.45 parent1[1]: (152) {G1,W8,D3,L2,V1,M1} R(12,18) { distinct_lines( skol1, X )
% 25.07/25.45 , apart_point_and_line( intersection_point( skol3, skol2 ), X ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := skol3
% 25.07/25.45 Y := skol2
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 X := skol3
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2933) {G1,W3,D2,L1,V0,M1} { distinct_lines( skol1, skol3 )
% 25.07/25.45 }.
% 25.07/25.45 parent0[0]: (2932) {G2,W6,D2,L2,V0,M2} { ! convergent_lines( skol3, skol2
% 25.07/25.45 ), distinct_lines( skol1, skol3 ) }.
% 25.07/25.45 parent1[0]: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol2 )
% 25.07/25.45 }.
% 25.07/25.45 substitution0:
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (158) {G3,W3,D2,L1,V0,M1} R(152,135);r(15) { distinct_lines(
% 25.07/25.45 skol1, skol3 ) }.
% 25.07/25.45 parent0: (2933) {G1,W3,D2,L1,V0,M1} { distinct_lines( skol1, skol3 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 0
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2934) {G1,W13,D3,L3,V2,M3} { ! convergent_lines( X, skol1 ),
% 25.07/25.45 distinct_points( Y, intersection_point( X, skol1 ) ), distinct_points(
% 25.07/25.45 intersection_point( skol3, skol2 ), Y ) }.
% 25.07/25.45 parent0[2]: (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 25.07/25.45 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 25.07/25.45 ( Z, Y ) }.
% 25.07/25.45 parent1[1]: (132) {G1,W8,D3,L2,V1,M1} R(11,18) { distinct_points(
% 25.07/25.45 intersection_point( skol3, skol2 ), X ), apart_point_and_line( X, skol1 )
% 25.07/25.45 }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := X
% 25.07/25.45 Y := skol1
% 25.07/25.45 Z := Y
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 X := Y
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (217) {G2,W13,D3,L3,V2,M2} R(132,9) { ! convergent_lines( Y,
% 25.07/25.45 skol1 ), distinct_points( X, intersection_point( Y, skol1 ) ),
% 25.07/25.45 distinct_points( intersection_point( skol3, skol2 ), X ) }.
% 25.07/25.45 parent0: (2934) {G1,W13,D3,L3,V2,M3} { ! convergent_lines( X, skol1 ),
% 25.07/25.45 distinct_points( Y, intersection_point( X, skol1 ) ), distinct_points(
% 25.07/25.45 intersection_point( skol3, skol2 ), Y ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := Y
% 25.07/25.45 Y := X
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 0
% 25.07/25.45 1 ==> 1
% 25.07/25.45 2 ==> 2
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2936) {G2,W17,D3,L5,V1,M5} { ! convergent_lines( skol1, skol2
% 25.07/25.45 ), ! distinct_points( intersection_point( skol1, skol2 ), X ), !
% 25.07/25.45 distinct_lines( skol1, skol3 ), apart_point_and_line( X, skol3 ),
% 25.07/25.45 apart_point_and_line( X, skol1 ) }.
% 25.07/25.45 parent0[1]: (135) {G2,W8,D3,L2,V2,M1} F(128);r(0) { ! convergent_lines( X,
% 25.07/25.45 Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 25.07/25.45 parent1[3]: (106) {G1,W19,D3,L5,V2,M3} R(10,17) { ! distinct_points(
% 25.07/25.45 intersection_point( skol1, skol2 ), X ), ! distinct_lines( Y, skol3 ),
% 25.07/25.45 apart_point_and_line( X, skol3 ), apart_point_and_line(
% 25.07/25.45 intersection_point( skol1, skol2 ), Y ), apart_point_and_line( X, Y ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := skol1
% 25.07/25.45 Y := skol2
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 X := X
% 25.07/25.45 Y := skol1
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2938) {G3,W14,D3,L4,V1,M4} { ! convergent_lines( skol1, skol2
% 25.07/25.45 ), ! distinct_points( intersection_point( skol1, skol2 ), X ),
% 25.07/25.45 apart_point_and_line( X, skol3 ), apart_point_and_line( X, skol1 ) }.
% 25.07/25.45 parent0[2]: (2936) {G2,W17,D3,L5,V1,M5} { ! convergent_lines( skol1, skol2
% 25.07/25.45 ), ! distinct_points( intersection_point( skol1, skol2 ), X ), !
% 25.07/25.45 distinct_lines( skol1, skol3 ), apart_point_and_line( X, skol3 ),
% 25.07/25.45 apart_point_and_line( X, skol1 ) }.
% 25.07/25.45 parent1[0]: (158) {G3,W3,D2,L1,V0,M1} R(152,135);r(15) { distinct_lines(
% 25.07/25.45 skol1, skol3 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := X
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (1457) {G4,W14,D3,L4,V1,M1} R(106,135);r(158) { !
% 25.07/25.45 distinct_points( intersection_point( skol1, skol2 ), X ),
% 25.07/25.45 apart_point_and_line( X, skol1 ), ! convergent_lines( skol1, skol2 ),
% 25.07/25.45 apart_point_and_line( X, skol3 ) }.
% 25.07/25.45 parent0: (2938) {G3,W14,D3,L4,V1,M4} { ! convergent_lines( skol1, skol2 )
% 25.07/25.45 , ! distinct_points( intersection_point( skol1, skol2 ), X ),
% 25.07/25.45 apart_point_and_line( X, skol3 ), apart_point_and_line( X, skol1 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := X
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 2
% 25.07/25.45 1 ==> 0
% 25.07/25.45 2 ==> 3
% 25.07/25.45 3 ==> 1
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2941) {G2,W17,D3,L5,V1,M5} { ! convergent_lines( skol1, skol2
% 25.07/25.45 ), ! distinct_points( intersection_point( skol1, skol2 ), X ), !
% 25.07/25.45 distinct_lines( skol3, skol2 ), apart_point_and_line( X, skol3 ),
% 25.07/25.45 apart_point_and_line( X, skol2 ) }.
% 25.07/25.45 parent0[1]: (136) {G2,W8,D3,L2,V2,M1} F(127);r(0) { ! convergent_lines( X,
% 25.07/25.45 Y ), ! apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 25.07/25.45 parent1[4]: (109) {G1,W19,D3,L5,V2,M3} R(10,17) { ! distinct_points(
% 25.07/25.45 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol3, Y ),
% 25.07/25.45 apart_point_and_line( X, skol3 ), apart_point_and_line( X, Y ),
% 25.07/25.45 apart_point_and_line( intersection_point( skol1, skol2 ), Y ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := skol1
% 25.07/25.45 Y := skol2
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 X := X
% 25.07/25.45 Y := skol2
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2942) {G1,W14,D3,L4,V1,M4} { ! distinct_points(
% 25.07/25.45 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol3, skol2 )
% 25.07/25.45 , apart_point_and_line( X, skol3 ), apart_point_and_line( X, skol2 ) }.
% 25.07/25.45 parent0[0]: (2941) {G2,W17,D3,L5,V1,M5} { ! convergent_lines( skol1, skol2
% 25.07/25.45 ), ! distinct_points( intersection_point( skol1, skol2 ), X ), !
% 25.07/25.45 distinct_lines( skol3, skol2 ), apart_point_and_line( X, skol3 ),
% 25.07/25.45 apart_point_and_line( X, skol2 ) }.
% 25.07/25.45 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 25.07/25.45 }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := X
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (1506) {G3,W14,D3,L4,V1,M1} R(109,136);r(14) { !
% 25.07/25.45 distinct_points( intersection_point( skol1, skol2 ), X ), !
% 25.07/25.45 distinct_lines( skol3, skol2 ), apart_point_and_line( X, skol2 ),
% 25.07/25.45 apart_point_and_line( X, skol3 ) }.
% 25.07/25.45 parent0: (2942) {G1,W14,D3,L4,V1,M4} { ! distinct_points(
% 25.07/25.45 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol3, skol2 )
% 25.07/25.45 , apart_point_and_line( X, skol3 ), apart_point_and_line( X, skol2 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := X
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 0
% 25.07/25.45 1 ==> 1
% 25.07/25.45 2 ==> 3
% 25.07/25.45 3 ==> 2
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2944) {G3,W18,D3,L4,V1,M4} { ! convergent_lines( skol3, X ),
% 25.07/25.45 ! distinct_points( intersection_point( skol1, skol2 ), intersection_point
% 25.07/25.45 ( skol3, X ) ), ! distinct_lines( skol3, skol2 ), apart_point_and_line(
% 25.07/25.45 intersection_point( skol3, X ), skol2 ) }.
% 25.07/25.45 parent0[1]: (135) {G2,W8,D3,L2,V2,M1} F(128);r(0) { ! convergent_lines( X,
% 25.07/25.45 Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 25.07/25.45 parent1[3]: (1506) {G3,W14,D3,L4,V1,M1} R(109,136);r(14) { !
% 25.07/25.45 distinct_points( intersection_point( skol1, skol2 ), X ), !
% 25.07/25.45 distinct_lines( skol3, skol2 ), apart_point_and_line( X, skol2 ),
% 25.07/25.45 apart_point_and_line( X, skol3 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := skol3
% 25.07/25.45 Y := X
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 X := intersection_point( skol3, X )
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (1646) {G4,W18,D3,L4,V1,M1} R(1506,135) { ! distinct_points(
% 25.07/25.45 intersection_point( skol1, skol2 ), intersection_point( skol3, X ) ), !
% 25.07/25.45 distinct_lines( skol3, skol2 ), ! convergent_lines( skol3, X ),
% 25.07/25.45 apart_point_and_line( intersection_point( skol3, X ), skol2 ) }.
% 25.07/25.45 parent0: (2944) {G3,W18,D3,L4,V1,M4} { ! convergent_lines( skol3, X ), !
% 25.07/25.45 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 25.07/25.45 skol3, X ) ), ! distinct_lines( skol3, skol2 ), apart_point_and_line(
% 25.07/25.45 intersection_point( skol3, X ), skol2 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := X
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 2
% 25.07/25.45 1 ==> 0
% 25.07/25.45 2 ==> 1
% 25.07/25.45 3 ==> 3
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2945) {G1,W11,D3,L3,V1,M3} { ! distinct_points(
% 25.07/25.45 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol1 )
% 25.07/25.45 , apart_point_and_line( X, skol3 ) }.
% 25.07/25.45 parent0[2]: (1457) {G4,W14,D3,L4,V1,M1} R(106,135);r(158) { !
% 25.07/25.45 distinct_points( intersection_point( skol1, skol2 ), X ),
% 25.07/25.45 apart_point_and_line( X, skol1 ), ! convergent_lines( skol1, skol2 ),
% 25.07/25.45 apart_point_and_line( X, skol3 ) }.
% 25.07/25.45 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 25.07/25.45 }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := X
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (1706) {G5,W11,D3,L3,V1,M1} S(1457);r(14) { ! distinct_points
% 25.07/25.45 ( intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol1
% 25.07/25.45 ), apart_point_and_line( X, skol3 ) }.
% 25.07/25.45 parent0: (2945) {G1,W11,D3,L3,V1,M3} { ! distinct_points(
% 25.07/25.45 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol1 )
% 25.07/25.45 , apart_point_and_line( X, skol3 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := X
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 0
% 25.07/25.45 1 ==> 1
% 25.07/25.45 2 ==> 2
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2947) {G3,W15,D3,L3,V1,M3} { ! convergent_lines( skol3, X ),
% 25.07/25.45 ! distinct_points( intersection_point( skol1, skol2 ), intersection_point
% 25.07/25.45 ( skol3, X ) ), apart_point_and_line( intersection_point( skol3, X ),
% 25.07/25.45 skol1 ) }.
% 25.07/25.45 parent0[1]: (135) {G2,W8,D3,L2,V2,M1} F(128);r(0) { ! convergent_lines( X,
% 25.07/25.45 Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 25.07/25.45 parent1[2]: (1706) {G5,W11,D3,L3,V1,M1} S(1457);r(14) { ! distinct_points(
% 25.07/25.45 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol1 )
% 25.07/25.45 , apart_point_and_line( X, skol3 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := skol3
% 25.07/25.45 Y := X
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 X := intersection_point( skol3, X )
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (1732) {G6,W15,D3,L3,V1,M1} R(1706,135) { ! distinct_points(
% 25.07/25.45 intersection_point( skol1, skol2 ), intersection_point( skol3, X ) ), !
% 25.07/25.45 convergent_lines( skol3, X ), apart_point_and_line( intersection_point(
% 25.07/25.45 skol3, X ), skol1 ) }.
% 25.07/25.45 parent0: (2947) {G3,W15,D3,L3,V1,M3} { ! convergent_lines( skol3, X ), !
% 25.07/25.45 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 25.07/25.45 skol3, X ) ), apart_point_and_line( intersection_point( skol3, X ), skol1
% 25.07/25.45 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := X
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 1
% 25.07/25.45 1 ==> 0
% 25.07/25.45 2 ==> 2
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2948) {G3,W13,D3,L3,V0,M3} { ! convergent_lines( skol3, skol1
% 25.07/25.45 ), ! distinct_points( intersection_point( skol1, skol2 ),
% 25.07/25.45 intersection_point( skol3, skol1 ) ), ! convergent_lines( skol3, skol1 )
% 25.07/25.45 }.
% 25.07/25.45 parent0[1]: (136) {G2,W8,D3,L2,V2,M1} F(127);r(0) { ! convergent_lines( X,
% 25.07/25.45 Y ), ! apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 25.07/25.45 parent1[2]: (1732) {G6,W15,D3,L3,V1,M1} R(1706,135) { ! distinct_points(
% 25.07/25.45 intersection_point( skol1, skol2 ), intersection_point( skol3, X ) ), !
% 25.07/25.45 convergent_lines( skol3, X ), apart_point_and_line( intersection_point(
% 25.07/25.45 skol3, X ), skol1 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := skol3
% 25.07/25.45 Y := skol1
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 X := skol1
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 factor: (2949) {G3,W10,D3,L2,V0,M2} { ! convergent_lines( skol3, skol1 ),
% 25.07/25.45 ! distinct_points( intersection_point( skol1, skol2 ), intersection_point
% 25.07/25.45 ( skol3, skol1 ) ) }.
% 25.07/25.45 parent0[0, 2]: (2948) {G3,W13,D3,L3,V0,M3} { ! convergent_lines( skol3,
% 25.07/25.45 skol1 ), ! distinct_points( intersection_point( skol1, skol2 ),
% 25.07/25.45 intersection_point( skol3, skol1 ) ), ! convergent_lines( skol3, skol1 )
% 25.07/25.45 }.
% 25.07/25.45 substitution0:
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2951) {G3,W7,D3,L1,V0,M1} { ! distinct_points(
% 25.07/25.45 intersection_point( skol1, skol2 ), intersection_point( skol3, skol1 ) )
% 25.07/25.45 }.
% 25.07/25.45 parent0[0]: (2949) {G3,W10,D3,L2,V0,M2} { ! convergent_lines( skol3, skol1
% 25.07/25.45 ), ! distinct_points( intersection_point( skol1, skol2 ),
% 25.07/25.45 intersection_point( skol3, skol1 ) ) }.
% 25.07/25.45 parent1[0]: (45) {G2,W3,D2,L1,V0,M1} R(40,16) { convergent_lines( skol3,
% 25.07/25.45 skol1 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (1766) {G7,W7,D3,L1,V0,M1} R(1732,136);f;r(45) { !
% 25.07/25.45 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 25.07/25.45 skol3, skol1 ) ) }.
% 25.07/25.45 parent0: (2951) {G3,W7,D3,L1,V0,M1} { ! distinct_points(
% 25.07/25.45 intersection_point( skol1, skol2 ), intersection_point( skol3, skol1 ) )
% 25.07/25.45 }.
% 25.07/25.45 substitution0:
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 0
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2952) {G3,W10,D3,L2,V0,M2} { ! convergent_lines( skol3, skol1
% 25.07/25.45 ), distinct_points( intersection_point( skol3, skol2 ),
% 25.07/25.45 intersection_point( skol1, skol2 ) ) }.
% 25.07/25.45 parent0[0]: (1766) {G7,W7,D3,L1,V0,M1} R(1732,136);f;r(45) { !
% 25.07/25.45 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 25.07/25.45 skol3, skol1 ) ) }.
% 25.07/25.45 parent1[1]: (217) {G2,W13,D3,L3,V2,M2} R(132,9) { ! convergent_lines( Y,
% 25.07/25.45 skol1 ), distinct_points( X, intersection_point( Y, skol1 ) ),
% 25.07/25.45 distinct_points( intersection_point( skol3, skol2 ), X ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 X := intersection_point( skol1, skol2 )
% 25.07/25.45 Y := skol3
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2953) {G3,W7,D3,L1,V0,M1} { distinct_points(
% 25.07/25.45 intersection_point( skol3, skol2 ), intersection_point( skol1, skol2 ) )
% 25.07/25.45 }.
% 25.07/25.45 parent0[0]: (2952) {G3,W10,D3,L2,V0,M2} { ! convergent_lines( skol3, skol1
% 25.07/25.45 ), distinct_points( intersection_point( skol3, skol2 ),
% 25.07/25.45 intersection_point( skol1, skol2 ) ) }.
% 25.07/25.45 parent1[0]: (45) {G2,W3,D2,L1,V0,M1} R(40,16) { convergent_lines( skol3,
% 25.07/25.45 skol1 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (1832) {G8,W7,D3,L1,V0,M1} R(1766,217);r(45) { distinct_points
% 25.07/25.45 ( intersection_point( skol3, skol2 ), intersection_point( skol1, skol2 )
% 25.07/25.45 ) }.
% 25.07/25.45 parent0: (2953) {G3,W7,D3,L1,V0,M1} { distinct_points( intersection_point
% 25.07/25.45 ( skol3, skol2 ), intersection_point( skol1, skol2 ) ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 0
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2954) {G2,W7,D3,L1,V0,M1} { distinct_points(
% 25.07/25.45 intersection_point( skol1, skol2 ), intersection_point( skol3, skol2 ) )
% 25.07/25.45 }.
% 25.07/25.45 parent0[0]: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 25.07/25.45 distinct_points( X, Y ) }.
% 25.07/25.45 parent1[0]: (1832) {G8,W7,D3,L1,V0,M1} R(1766,217);r(45) { distinct_points
% 25.07/25.45 ( intersection_point( skol3, skol2 ), intersection_point( skol1, skol2 )
% 25.07/25.45 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := intersection_point( skol1, skol2 )
% 25.07/25.45 Y := intersection_point( skol3, skol2 )
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (1895) {G9,W7,D3,L1,V0,M1} R(1832,21) { distinct_points(
% 25.07/25.45 intersection_point( skol1, skol2 ), intersection_point( skol3, skol2 ) )
% 25.07/25.45 }.
% 25.07/25.45 parent0: (2954) {G2,W7,D3,L1,V0,M1} { distinct_points( intersection_point
% 25.07/25.45 ( skol1, skol2 ), intersection_point( skol3, skol2 ) ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 0
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2955) {G3,W16,D3,L4,V0,M4} { ! convergent_lines( skol3, skol2
% 25.07/25.45 ), ! distinct_points( intersection_point( skol1, skol2 ),
% 25.07/25.45 intersection_point( skol3, skol2 ) ), ! distinct_lines( skol3, skol2 ), !
% 25.07/25.45 convergent_lines( skol3, skol2 ) }.
% 25.07/25.45 parent0[1]: (136) {G2,W8,D3,L2,V2,M1} F(127);r(0) { ! convergent_lines( X,
% 25.07/25.45 Y ), ! apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 25.07/25.45 parent1[3]: (1646) {G4,W18,D3,L4,V1,M1} R(1506,135) { ! distinct_points(
% 25.07/25.45 intersection_point( skol1, skol2 ), intersection_point( skol3, X ) ), !
% 25.07/25.45 distinct_lines( skol3, skol2 ), ! convergent_lines( skol3, X ),
% 25.07/25.45 apart_point_and_line( intersection_point( skol3, X ), skol2 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 X := skol3
% 25.07/25.45 Y := skol2
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 X := skol2
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2957) {G4,W9,D2,L3,V0,M3} { ! convergent_lines( skol3, skol2
% 25.07/25.45 ), ! distinct_lines( skol3, skol2 ), ! convergent_lines( skol3, skol2 )
% 25.07/25.45 }.
% 25.07/25.45 parent0[1]: (2955) {G3,W16,D3,L4,V0,M4} { ! convergent_lines( skol3, skol2
% 25.07/25.45 ), ! distinct_points( intersection_point( skol1, skol2 ),
% 25.07/25.45 intersection_point( skol3, skol2 ) ), ! distinct_lines( skol3, skol2 ), !
% 25.07/25.45 convergent_lines( skol3, skol2 ) }.
% 25.07/25.45 parent1[0]: (1895) {G9,W7,D3,L1,V0,M1} R(1832,21) { distinct_points(
% 25.07/25.45 intersection_point( skol1, skol2 ), intersection_point( skol3, skol2 ) )
% 25.07/25.45 }.
% 25.07/25.45 substitution0:
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 factor: (2958) {G4,W6,D2,L2,V0,M2} { ! convergent_lines( skol3, skol2 ), !
% 25.07/25.45 distinct_lines( skol3, skol2 ) }.
% 25.07/25.45 parent0[0, 2]: (2957) {G4,W9,D2,L3,V0,M3} { ! convergent_lines( skol3,
% 25.07/25.45 skol2 ), ! distinct_lines( skol3, skol2 ), ! convergent_lines( skol3,
% 25.07/25.45 skol2 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (2268) {G10,W6,D2,L2,V0,M1} R(1646,136);f;r(1895) { !
% 25.07/25.45 convergent_lines( skol3, skol2 ), ! distinct_lines( skol3, skol2 ) }.
% 25.07/25.45 parent0: (2958) {G4,W6,D2,L2,V0,M2} { ! convergent_lines( skol3, skol2 ),
% 25.07/25.45 ! distinct_lines( skol3, skol2 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 0
% 25.07/25.45 1 ==> 1
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2959) {G1,W3,D2,L1,V0,M1} { ! distinct_lines( skol3, skol2 )
% 25.07/25.45 }.
% 25.07/25.45 parent0[0]: (2268) {G10,W6,D2,L2,V0,M1} R(1646,136);f;r(1895) { !
% 25.07/25.45 convergent_lines( skol3, skol2 ), ! distinct_lines( skol3, skol2 ) }.
% 25.07/25.45 parent1[0]: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol2 )
% 25.07/25.45 }.
% 25.07/25.45 substitution0:
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (2269) {G11,W3,D2,L1,V0,M1} S(2268);r(15) { ! distinct_lines(
% 25.07/25.45 skol3, skol2 ) }.
% 25.07/25.45 parent0: (2959) {G1,W3,D2,L1,V0,M1} { ! distinct_lines( skol3, skol2 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 0 ==> 0
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2960) {G3,W3,D2,L1,V0,M1} { ! convergent_lines( skol2, skol3
% 25.07/25.45 ) }.
% 25.07/25.45 parent0[0]: (2269) {G11,W3,D2,L1,V0,M1} S(2268);r(15) { ! distinct_lines(
% 25.07/25.45 skol3, skol2 ) }.
% 25.07/25.45 parent1[1]: (29) {G2,W6,D2,L2,V2,M1} R(13,26) { ! convergent_lines( X, Y )
% 25.07/25.45 , distinct_lines( Y, X ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 X := skol2
% 25.07/25.45 Y := skol3
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 resolution: (2961) {G3,W0,D0,L0,V0,M0} { }.
% 25.07/25.45 parent0[0]: (2960) {G3,W3,D2,L1,V0,M1} { ! convergent_lines( skol2, skol3
% 25.07/25.45 ) }.
% 25.07/25.45 parent1[0]: (44) {G2,W3,D2,L1,V0,M1} R(40,15) { convergent_lines( skol2,
% 25.07/25.45 skol3 ) }.
% 25.07/25.45 substitution0:
% 25.07/25.45 end
% 25.07/25.45 substitution1:
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 subsumption: (2781) {G12,W0,D0,L0,V0,M0} R(2269,29);r(44) { }.
% 25.07/25.45 parent0: (2961) {G3,W0,D0,L0,V0,M0} { }.
% 25.07/25.45 substitution0:
% 25.07/25.45 end
% 25.07/25.45 permutation0:
% 25.07/25.45 end
% 25.07/25.45
% 25.07/25.45 Proof check complete!
% 25.07/25.45
% 25.07/25.45 Memory use:
% 25.07/25.45
% 25.07/25.45 space for terms: 44795
% 25.07/25.45 space for clauses: 97518
% 25.07/25.45
% 25.07/25.45
% 25.07/25.45 clauses generated: 909518
% 25.07/25.45 clauses kept: 2782
% 25.07/25.45 clauses selected: 2180
% 25.07/25.45 clauses deleted: 8
% 25.07/25.45 clauses inuse deleted: 0
% 25.07/25.45
% 25.07/25.45 subsentry: 3953130
% 25.07/25.45 literals s-matched: 1469108
% 25.07/25.45 literals matched: 1469063
% 25.07/25.45 full subsumption: 1312503
% 25.07/25.45
% 25.07/25.45 checksum: 1589058766
% 25.07/25.45
% 25.07/25.45
% 25.07/25.45 Bliksem ended
%------------------------------------------------------------------------------