TSTP Solution File: GEO201+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO201+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 02:52:39 EDT 2022
% Result : Theorem 24.15s 24.54s
% Output : Refutation 24.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO201+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Fri Jun 17 15:12:11 EDT 2022
% 0.13/0.35 % CPUTime :
% 24.15/24.54 *** allocated 10000 integers for termspace/termends
% 24.15/24.54 *** allocated 10000 integers for clauses
% 24.15/24.54 *** allocated 10000 integers for justifications
% 24.15/24.54 Bliksem 1.12
% 24.15/24.54
% 24.15/24.54
% 24.15/24.54 Automatic Strategy Selection
% 24.15/24.54
% 24.15/24.54
% 24.15/24.54 Clauses:
% 24.15/24.54
% 24.15/24.54 { ! distinct_points( X, X ) }.
% 24.15/24.54 { ! distinct_lines( X, X ) }.
% 24.15/24.54 { ! convergent_lines( X, X ) }.
% 24.15/24.54 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 24.15/24.54 ) }.
% 24.15/24.54 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 24.15/24.54 }.
% 24.15/24.54 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 24.15/24.54 , Z ) }.
% 24.15/24.54 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 24.15/24.54 , Y ) ) }.
% 24.15/24.54 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 24.15/24.54 , Y ) ) }.
% 24.15/24.54 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 24.15/24.54 , Y ), X ) }.
% 24.15/24.54 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 24.15/24.54 , Y ), Y ) }.
% 24.15/24.54 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 24.15/24.54 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 24.15/24.54 apart_point_and_line( Y, T ) }.
% 24.15/24.54 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 24.15/24.54 apart_point_and_line( Z, Y ) }.
% 24.15/24.54 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 24.15/24.54 apart_point_and_line( X, Z ) }.
% 24.15/24.54 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 24.15/24.54 Z ) }.
% 24.15/24.54 { convergent_lines( skol1, skol2 ) }.
% 24.15/24.54 { distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 24.15/24.54 skol2, skol1 ) ) }.
% 24.15/24.54
% 24.15/24.54 percentage equality = 0.000000, percentage horn = 0.562500
% 24.15/24.54 This a non-horn, non-equality problem
% 24.15/24.54
% 24.15/24.54
% 24.15/24.54 Options Used:
% 24.15/24.54
% 24.15/24.54 useres = 1
% 24.15/24.54 useparamod = 0
% 24.15/24.54 useeqrefl = 0
% 24.15/24.54 useeqfact = 0
% 24.15/24.54 usefactor = 1
% 24.15/24.54 usesimpsplitting = 0
% 24.15/24.54 usesimpdemod = 0
% 24.15/24.54 usesimpres = 3
% 24.15/24.54
% 24.15/24.54 resimpinuse = 1000
% 24.15/24.54 resimpclauses = 20000
% 24.15/24.54 substype = standard
% 24.15/24.54 backwardsubs = 1
% 24.15/24.54 selectoldest = 5
% 24.15/24.54
% 24.15/24.54 litorderings [0] = split
% 24.15/24.54 litorderings [1] = liftord
% 24.15/24.54
% 24.15/24.54 termordering = none
% 24.15/24.54
% 24.15/24.54 litapriori = 1
% 24.15/24.54 termapriori = 0
% 24.15/24.54 litaposteriori = 0
% 24.15/24.54 termaposteriori = 0
% 24.15/24.54 demodaposteriori = 0
% 24.15/24.54 ordereqreflfact = 0
% 24.15/24.54
% 24.15/24.54 litselect = none
% 24.15/24.54
% 24.15/24.54 maxweight = 15
% 24.15/24.54 maxdepth = 30000
% 24.15/24.54 maxlength = 115
% 24.15/24.54 maxnrvars = 195
% 24.15/24.54 excuselevel = 1
% 24.15/24.54 increasemaxweight = 1
% 24.15/24.54
% 24.15/24.54 maxselected = 10000000
% 24.15/24.54 maxnrclauses = 10000000
% 24.15/24.54
% 24.15/24.54 showgenerated = 0
% 24.15/24.54 showkept = 0
% 24.15/24.54 showselected = 0
% 24.15/24.54 showdeleted = 0
% 24.15/24.54 showresimp = 1
% 24.15/24.54 showstatus = 2000
% 24.15/24.54
% 24.15/24.54 prologoutput = 0
% 24.15/24.54 nrgoals = 5000000
% 24.15/24.54 totalproof = 1
% 24.15/24.54
% 24.15/24.54 Symbols occurring in the translation:
% 24.15/24.54
% 24.15/24.54 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 24.15/24.54 . [1, 2] (w:1, o:18, a:1, s:1, b:0),
% 24.15/24.54 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 24.15/24.54 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 24.15/24.54 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 24.15/24.54 distinct_points [36, 2] (w:1, o:43, a:1, s:1, b:0),
% 24.15/24.54 distinct_lines [37, 2] (w:1, o:44, a:1, s:1, b:0),
% 24.15/24.54 convergent_lines [38, 2] (w:1, o:42, a:1, s:1, b:0),
% 24.15/24.54 line_connecting [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 24.15/24.54 apart_point_and_line [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 24.15/24.54 intersection_point [43, 2] (w:1, o:47, a:1, s:1, b:0),
% 24.15/24.54 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 24.15/24.54 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0).
% 24.15/24.54
% 24.15/24.54
% 24.15/24.54 Starting Search:
% 24.15/24.54
% 24.15/24.54 *** allocated 15000 integers for clauses
% 24.15/24.54 Resimplifying inuse:
% 24.15/24.54 Done
% 24.15/24.54
% 24.15/24.54 Failed to find proof!
% 24.15/24.54 maxweight = 15
% 24.15/24.54 maxnrclauses = 10000000
% 24.15/24.54 Generated: 35085
% 24.15/24.54 Kept: 323
% 24.15/24.54
% 24.15/24.54
% 24.15/24.54 The strategy used was not complete!
% 24.15/24.54
% 24.15/24.54 Increased maxweight to 16
% 24.15/24.54
% 24.15/24.54 Starting Search:
% 24.15/24.54
% 24.15/24.54 Resimplifying inuse:
% 24.15/24.54 Done
% 24.15/24.54
% 24.15/24.54 Failed to find proof!
% 24.15/24.54 maxweight = 16
% 24.15/24.54 maxnrclauses = 10000000
% 24.15/24.54 Generated: 36973
% 24.15/24.54 Kept: 339
% 24.15/24.54
% 24.15/24.54
% 24.15/24.54 The strategy used was not complete!
% 24.15/24.54
% 24.15/24.54 Increased maxweight to 17
% 24.15/24.54
% 24.15/24.54 Starting Search:
% 24.15/24.54
% 24.15/24.54 *** allocated 22500 integers for clauses
% 24.15/24.54 Resimplifying inuse:
% 24.15/24.54 Done
% 24.15/24.54
% 24.15/24.54 Failed to find proof!
% 24.15/24.54 maxweight = 17
% 24.15/24.54 maxnrclauses = 10000000
% 24.15/24.54 Generated: 64417
% 24.15/24.54 Kept: 487
% 24.15/24.54
% 24.15/24.54
% 24.15/24.54 The strategy used was not complete!
% 24.15/24.54
% 24.15/24.54 Increased maxweight to 18
% 24.15/24.54
% 24.15/24.54 Starting Search:
% 24.15/24.54
% 24.15/24.54 *** allocated 15000 integers for termspace/termends
% 24.15/24.54 *** allocated 33750 integers for clauses
% 24.15/24.54 *** allocated 22500 integers for termspace/termends
% 24.15/24.54 Resimplifying inuse:
% 24.15/24.54 Done
% 24.15/24.54
% 24.15/24.54 Failed to find proof!
% 24.15/24.54 maxweight = 18
% 24.15/24.54 maxnrclauses = 10000000
% 24.15/24.54 Generated: 232580
% 24.15/24.54 Kept: 861
% 24.15/24.54
% 24.15/24.54
% 24.15/24.54 The strategy used was not complete!
% 24.15/24.54
% 24.15/24.54 Increased maxweight to 19
% 24.15/24.54
% 24.15/24.54 Starting Search:
% 24.15/24.54
% 24.15/24.54 *** allocated 50625 integers for clauses
% 24.15/24.54 Resimplifying inuse:
% 24.15/24.54 Done
% 24.15/24.54
% 24.15/24.54 *** allocated 33750 integers for termspace/termends
% 24.15/24.54 Resimplifying inuse:
% 24.15/24.54 Done
% 24.15/24.54
% 24.15/24.54 Failed to find proof!
% 24.15/24.54 maxweight = 19
% 24.15/24.54 maxnrclauses = 10000000
% 24.15/24.54 Generated: 562444
% 24.15/24.54 Kept: 1269
% 24.15/24.54
% 24.15/24.54
% 24.15/24.54 The strategy used was not complete!
% 24.15/24.54
% 24.15/24.54 Increased maxweight to 20
% 24.15/24.54
% 24.15/24.54 Starting Search:
% 24.15/24.54
% 24.15/24.54 Resimplifying inuse:
% 24.15/24.54 Done
% 24.15/24.54
% 24.15/24.54 *** allocated 75937 integers for clauses
% 24.15/24.54 *** allocated 50625 integers for termspace/termends
% 24.15/24.54 Resimplifying inuse:
% 24.15/24.54 Done
% 24.15/24.54
% 24.15/24.54 Failed to find proof!
% 24.15/24.54 maxweight = 20
% 24.15/24.54 maxnrclauses = 10000000
% 24.15/24.54 Generated: 884188
% 24.15/24.54 Kept: 1785
% 24.15/24.54
% 24.15/24.54
% 24.15/24.54 The strategy used was not complete!
% 24.15/24.54
% 24.15/24.54 Increased maxweight to 21
% 24.15/24.54
% 24.15/24.54 Starting Search:
% 24.15/24.54
% 24.15/24.54 Resimplifying inuse:
% 24.15/24.54 Done
% 24.15/24.54
% 24.15/24.54
% 24.15/24.54 Intermediate Status:
% 24.15/24.54 Generated: 93604
% 24.15/24.54 Kept: 2007
% 24.15/24.54 Inuse: 537
% 24.15/24.54 Deleted: 0
% 24.15/24.54 Deletedinuse: 0
% 24.15/24.54
% 24.15/24.54 Resimplifying inuse:
% 24.15/24.54 Done
% 24.15/24.54
% 24.15/24.54 *** allocated 113905 integers for clauses
% 24.15/24.54 *** allocated 75937 integers for termspace/termends
% 24.15/24.54
% 24.15/24.54 Bliksems!, er is een bewijs:
% 24.15/24.54 % SZS status Theorem
% 24.15/24.54 % SZS output start Refutation
% 24.15/24.54
% 24.15/24.54 (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 24.15/24.54 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 24.15/24.54 (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 24.15/24.54 (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 24.15/24.54 ), ! distinct_points( X, Y ) }.
% 24.15/24.54 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 24.15/24.54 , ! distinct_lines( X, Y ) }.
% 24.15/24.54 (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), convergent_lines( Y,
% 24.15/24.54 Z ), ! convergent_lines( X, Y ) }.
% 24.15/24.54 (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 24.15/24.54 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 24.15/24.54 (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 24.15/24.54 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 24.15/24.54 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 24.15/24.54 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 24.15/24.54 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 24.15/24.54 (13) {G0,W9,D2,L3,V3,M1} I { ! convergent_lines( X, Y ), convergent_lines(
% 24.15/24.54 X, Z ), distinct_lines( Y, Z ) }.
% 24.15/24.54 (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 ) }.
% 24.15/24.54 (15) {G0,W7,D3,L1,V0,M1} I { distinct_points( intersection_point( skol1,
% 24.15/24.54 skol2 ), intersection_point( skol2, skol1 ) ) }.
% 24.15/24.54 (19) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 24.15/24.54 distinct_points( X, Y ) }.
% 24.15/24.54 (22) {G2,W7,D3,L1,V0,M1} R(19,15) { distinct_points( intersection_point(
% 24.15/24.54 skol2, skol1 ), intersection_point( skol1, skol2 ) ) }.
% 24.15/24.54 (25) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 24.15/24.54 ( X, Y ) }.
% 24.15/24.54 (36) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 24.15/24.54 convergent_lines( X, Y ) }.
% 24.15/24.54 (52) {G1,W22,D3,L6,V4,M3} R(10,8) { ! distinct_points( intersection_point(
% 24.15/24.54 X, Y ), Z ), ! distinct_lines( T, X ), ! convergent_lines( X, Y ),
% 24.15/24.54 apart_point_and_line( intersection_point( X, Y ), T ),
% 24.15/24.54 apart_point_and_line( Z, T ), apart_point_and_line( Z, X ) }.
% 24.15/24.54 (110) {G2,W9,D2,L3,V3,M1} R(13,25) { ! convergent_lines( X, Y ),
% 24.15/24.54 convergent_lines( X, Z ), distinct_lines( Z, Y ) }.
% 24.15/24.54 (761) {G2,W17,D3,L5,V3,M2} R(52,9);f { ! distinct_points(
% 24.15/24.54 intersection_point( X, Y ), Z ), ! convergent_lines( X, Y ), !
% 24.15/24.54 distinct_lines( Y, X ), apart_point_and_line( Z, X ),
% 24.15/24.54 apart_point_and_line( Z, Y ) }.
% 24.15/24.54 (2016) {G3,W21,D3,L5,V3,M1} R(761,8) { ! convergent_lines( X, Y ), !
% 24.15/24.54 distinct_points( intersection_point( X, Y ), intersection_point( Y, Z ) )
% 24.15/24.54 , ! distinct_lines( Y, X ), ! convergent_lines( Y, Z ),
% 24.15/24.54 apart_point_and_line( intersection_point( Y, Z ), X ) }.
% 24.15/24.54 (2607) {G4,W13,D3,L3,V2,M1} R(2016,9);f;r(36) { ! distinct_points(
% 24.15/24.54 intersection_point( X, Y ), intersection_point( Y, X ) ), !
% 24.15/24.54 convergent_lines( Y, X ), ! distinct_lines( Y, X ) }.
% 24.15/24.54 (2640) {G5,W16,D3,L4,V3,M1} R(2607,110) { ! convergent_lines( Y, X ), !
% 24.15/24.54 convergent_lines( Z, X ), convergent_lines( Z, Y ), ! distinct_points(
% 24.15/24.54 intersection_point( X, Y ), intersection_point( Y, X ) ) }.
% 24.15/24.54 (2651) {G6,W10,D3,L2,V2,M1} F(2640);r(2) { ! convergent_lines( X, Y ), !
% 24.15/24.54 distinct_points( intersection_point( Y, X ), intersection_point( X, Y ) )
% 24.15/24.54 }.
% 24.15/24.54 (2775) {G7,W0,D0,L0,V0,M0} R(2651,22);r(14) { }.
% 24.15/24.54
% 24.15/24.54
% 24.15/24.54 % SZS output end Refutation
% 24.15/24.54 found a proof!
% 24.15/24.54
% 24.15/24.54
% 24.15/24.54 Unprocessed initial clauses:
% 24.15/24.54
% 24.15/24.54 (2777) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 24.15/24.54 (2778) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 24.15/24.54 (2779) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 24.15/24.54 (2780) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 24.15/24.54 , Z ), distinct_points( Y, Z ) }.
% 24.15/24.54 (2781) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 24.15/24.54 Z ), distinct_lines( Y, Z ) }.
% 24.15/24.54 (2782) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 24.15/24.54 ( X, Z ), convergent_lines( Y, Z ) }.
% 24.15/24.54 (2783) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 24.15/24.54 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 24.15/24.54 (2784) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 24.15/24.54 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 24.15/24.54 (2785) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 24.15/24.54 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 24.15/24.54 (2786) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 24.15/24.54 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 24.15/24.54 (2787) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 24.15/24.54 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 24.15/24.54 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 24.15/24.54 (2788) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 24.15/24.54 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 24.15/24.54 (2789) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 24.15/24.54 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 24.15/24.54 (2790) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines( Y
% 24.15/24.54 , Z ), convergent_lines( X, Z ) }.
% 24.15/24.54 (2791) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 24.15/24.54 (2792) {G0,W7,D3,L1,V0,M1} { distinct_points( intersection_point( skol1,
% 24.15/24.54 skol2 ), intersection_point( skol2, skol1 ) ) }.
% 24.15/24.54
% 24.15/24.54
% 24.15/24.54 Total Proof:
% 24.15/24.54
% 24.15/24.54 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 24.15/24.54 parent0: (2777) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 X := X
% 24.15/24.54 end
% 24.15/24.54 permutation0:
% 24.15/24.54 0 ==> 0
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 24.15/24.54 parent0: (2778) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 X := X
% 24.15/24.54 end
% 24.15/24.54 permutation0:
% 24.15/24.54 0 ==> 0
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 24.15/24.54 parent0: (2779) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 X := X
% 24.15/24.54 end
% 24.15/24.54 permutation0:
% 24.15/24.54 0 ==> 0
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 subsumption: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 24.15/24.54 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 24.15/24.54 parent0: (2780) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ),
% 24.15/24.54 distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 X := X
% 24.15/24.54 Y := Y
% 24.15/24.54 Z := Z
% 24.15/24.54 end
% 24.15/24.54 permutation0:
% 24.15/24.54 0 ==> 2
% 24.15/24.54 1 ==> 0
% 24.15/24.54 2 ==> 1
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 24.15/24.54 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 24.15/24.54 parent0: (2781) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 24.15/24.54 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 X := X
% 24.15/24.54 Y := Y
% 24.15/24.54 Z := Z
% 24.15/24.54 end
% 24.15/24.54 permutation0:
% 24.15/24.54 0 ==> 2
% 24.15/24.54 1 ==> 0
% 24.15/24.54 2 ==> 1
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 subsumption: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 24.15/24.54 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 24.15/24.54 parent0: (2782) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 24.15/24.54 convergent_lines( X, Z ), convergent_lines( Y, Z ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 X := X
% 24.15/24.54 Y := Y
% 24.15/24.54 Z := Z
% 24.15/24.54 end
% 24.15/24.54 permutation0:
% 24.15/24.54 0 ==> 2
% 24.15/24.54 1 ==> 0
% 24.15/24.54 2 ==> 1
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 subsumption: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 24.15/24.54 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 24.15/24.54 parent0: (2785) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 24.15/24.54 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 X := X
% 24.15/24.54 Y := Y
% 24.15/24.54 end
% 24.15/24.54 permutation0:
% 24.15/24.54 0 ==> 0
% 24.15/24.54 1 ==> 1
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 subsumption: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 24.15/24.54 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 24.15/24.54 parent0: (2786) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 24.15/24.54 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 X := X
% 24.15/24.54 Y := Y
% 24.15/24.54 end
% 24.15/24.54 permutation0:
% 24.15/24.54 0 ==> 0
% 24.15/24.54 1 ==> 1
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 24.15/24.54 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 24.15/24.54 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 24.15/24.54 apart_point_and_line( X, Z ) }.
% 24.15/24.54 parent0: (2787) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 24.15/24.54 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 24.15/24.54 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 24.15/24.54 apart_point_and_line( Y, T ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 X := X
% 24.15/24.54 Y := Y
% 24.15/24.54 Z := Z
% 24.15/24.54 T := T
% 24.15/24.54 end
% 24.15/24.54 permutation0:
% 24.15/24.54 0 ==> 0
% 24.15/24.54 1 ==> 1
% 24.15/24.54 2 ==> 5
% 24.15/24.54 3 ==> 2
% 24.15/24.54 4 ==> 3
% 24.15/24.54 5 ==> 4
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 subsumption: (13) {G0,W9,D2,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 24.15/24.54 convergent_lines( X, Z ), distinct_lines( Y, Z ) }.
% 24.15/24.54 parent0: (2790) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 24.15/24.54 distinct_lines( Y, Z ), convergent_lines( X, Z ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 X := X
% 24.15/24.54 Y := Y
% 24.15/24.54 Z := Z
% 24.15/24.54 end
% 24.15/24.54 permutation0:
% 24.15/24.54 0 ==> 0
% 24.15/24.54 1 ==> 2
% 24.15/24.54 2 ==> 1
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 24.15/24.54 }.
% 24.15/24.54 parent0: (2791) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 end
% 24.15/24.54 permutation0:
% 24.15/24.54 0 ==> 0
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 subsumption: (15) {G0,W7,D3,L1,V0,M1} I { distinct_points(
% 24.15/24.54 intersection_point( skol1, skol2 ), intersection_point( skol2, skol1 ) )
% 24.15/24.54 }.
% 24.15/24.54 parent0: (2792) {G0,W7,D3,L1,V0,M1} { distinct_points( intersection_point
% 24.15/24.54 ( skol1, skol2 ), intersection_point( skol2, skol1 ) ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 end
% 24.15/24.54 permutation0:
% 24.15/24.54 0 ==> 0
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 resolution: (2841) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 24.15/24.54 distinct_points( X, Y ) }.
% 24.15/24.54 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 24.15/24.54 parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 24.15/24.54 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 X := X
% 24.15/24.54 end
% 24.15/24.54 substitution1:
% 24.15/24.54 X := X
% 24.15/24.54 Y := Y
% 24.15/24.54 Z := X
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 subsumption: (19) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 24.15/24.54 distinct_points( X, Y ) }.
% 24.15/24.54 parent0: (2841) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 24.15/24.54 distinct_points( X, Y ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 X := Y
% 24.15/24.54 Y := X
% 24.15/24.54 end
% 24.15/24.54 permutation0:
% 24.15/24.54 0 ==> 1
% 24.15/24.54 1 ==> 0
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 resolution: (2843) {G1,W7,D3,L1,V0,M1} { distinct_points(
% 24.15/24.54 intersection_point( skol2, skol1 ), intersection_point( skol1, skol2 ) )
% 24.15/24.54 }.
% 24.15/24.54 parent0[0]: (19) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 24.15/24.54 distinct_points( X, Y ) }.
% 24.15/24.54 parent1[0]: (15) {G0,W7,D3,L1,V0,M1} I { distinct_points(
% 24.15/24.54 intersection_point( skol1, skol2 ), intersection_point( skol2, skol1 ) )
% 24.15/24.54 }.
% 24.15/24.54 substitution0:
% 24.15/24.54 X := intersection_point( skol2, skol1 )
% 24.15/24.54 Y := intersection_point( skol1, skol2 )
% 24.15/24.54 end
% 24.15/24.54 substitution1:
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 subsumption: (22) {G2,W7,D3,L1,V0,M1} R(19,15) { distinct_points(
% 24.15/24.54 intersection_point( skol2, skol1 ), intersection_point( skol1, skol2 ) )
% 24.15/24.54 }.
% 24.15/24.54 parent0: (2843) {G1,W7,D3,L1,V0,M1} { distinct_points( intersection_point
% 24.15/24.54 ( skol2, skol1 ), intersection_point( skol1, skol2 ) ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 end
% 24.15/24.54 permutation0:
% 24.15/24.54 0 ==> 0
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 resolution: (2844) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 24.15/24.54 distinct_lines( X, Y ) }.
% 24.15/24.54 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 24.15/24.54 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 24.15/24.54 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 X := X
% 24.15/24.54 end
% 24.15/24.54 substitution1:
% 24.15/24.54 X := X
% 24.15/24.54 Y := Y
% 24.15/24.54 Z := X
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 subsumption: (25) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 24.15/24.54 distinct_lines( X, Y ) }.
% 24.15/24.54 parent0: (2844) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 24.15/24.54 distinct_lines( X, Y ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 X := Y
% 24.15/24.54 Y := X
% 24.15/24.54 end
% 24.15/24.54 permutation0:
% 24.15/24.54 0 ==> 1
% 24.15/24.54 1 ==> 0
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 resolution: (2846) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 24.15/24.54 convergent_lines( X, Y ) }.
% 24.15/24.54 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 24.15/24.54 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 24.15/24.54 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 X := X
% 24.15/24.54 end
% 24.15/24.54 substitution1:
% 24.15/24.54 X := X
% 24.15/24.54 Y := Y
% 24.15/24.54 Z := X
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 subsumption: (36) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 24.15/24.54 convergent_lines( X, Y ) }.
% 24.15/24.54 parent0: (2846) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 24.15/24.54 convergent_lines( X, Y ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 X := Y
% 24.15/24.54 Y := X
% 24.15/24.54 end
% 24.15/24.54 permutation0:
% 24.15/24.54 0 ==> 1
% 24.15/24.54 1 ==> 0
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 resolution: (2848) {G1,W22,D3,L6,V4,M6} { ! convergent_lines( X, Y ), !
% 24.15/24.54 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( T, X
% 24.15/24.54 ), apart_point_and_line( Z, T ), apart_point_and_line( Z, X ),
% 24.15/24.54 apart_point_and_line( intersection_point( X, Y ), T ) }.
% 24.15/24.54 parent0[1]: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 24.15/24.54 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 24.15/24.54 parent1[2]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 24.15/24.54 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 24.15/24.54 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 24.15/24.54 apart_point_and_line( X, Z ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 X := X
% 24.15/24.54 Y := Y
% 24.15/24.54 end
% 24.15/24.54 substitution1:
% 24.15/24.54 X := intersection_point( X, Y )
% 24.15/24.54 Y := Z
% 24.15/24.54 Z := T
% 24.15/24.54 T := X
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 subsumption: (52) {G1,W22,D3,L6,V4,M3} R(10,8) { ! distinct_points(
% 24.15/24.54 intersection_point( X, Y ), Z ), ! distinct_lines( T, X ), !
% 24.15/24.54 convergent_lines( X, Y ), apart_point_and_line( intersection_point( X, Y
% 24.15/24.54 ), T ), apart_point_and_line( Z, T ), apart_point_and_line( Z, X ) }.
% 24.15/24.54 parent0: (2848) {G1,W22,D3,L6,V4,M6} { ! convergent_lines( X, Y ), !
% 24.15/24.54 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( T, X
% 24.15/24.54 ), apart_point_and_line( Z, T ), apart_point_and_line( Z, X ),
% 24.15/24.54 apart_point_and_line( intersection_point( X, Y ), T ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 X := X
% 24.15/24.54 Y := Y
% 24.15/24.54 Z := Z
% 24.15/24.54 T := T
% 24.15/24.54 end
% 24.15/24.54 permutation0:
% 24.15/24.54 0 ==> 2
% 24.15/24.54 1 ==> 0
% 24.15/24.54 2 ==> 1
% 24.15/24.54 3 ==> 4
% 24.15/24.54 4 ==> 5
% 24.15/24.54 5 ==> 3
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 resolution: (2857) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ), !
% 24.15/24.54 convergent_lines( Z, X ), convergent_lines( Z, Y ) }.
% 24.15/24.54 parent0[0]: (25) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 24.15/24.54 distinct_lines( X, Y ) }.
% 24.15/24.54 parent1[2]: (13) {G0,W9,D2,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 24.15/24.54 convergent_lines( X, Z ), distinct_lines( Y, Z ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 X := Y
% 24.15/24.54 Y := X
% 24.15/24.54 end
% 24.15/24.54 substitution1:
% 24.15/24.54 X := Z
% 24.15/24.54 Y := X
% 24.15/24.54 Z := Y
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 subsumption: (110) {G2,W9,D2,L3,V3,M1} R(13,25) { ! convergent_lines( X, Y
% 24.15/24.54 ), convergent_lines( X, Z ), distinct_lines( Z, Y ) }.
% 24.15/24.54 parent0: (2857) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ), !
% 24.15/24.54 convergent_lines( Z, X ), convergent_lines( Z, Y ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 X := Y
% 24.15/24.54 Y := Z
% 24.15/24.54 Z := X
% 24.15/24.54 end
% 24.15/24.54 permutation0:
% 24.15/24.54 0 ==> 2
% 24.15/24.54 1 ==> 0
% 24.15/24.54 2 ==> 1
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 resolution: (2858) {G1,W20,D3,L6,V3,M6} { ! convergent_lines( X, Y ), !
% 24.15/24.54 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( Y, X
% 24.15/24.54 ), ! convergent_lines( X, Y ), apart_point_and_line( Z, Y ),
% 24.15/24.54 apart_point_and_line( Z, X ) }.
% 24.15/24.54 parent0[1]: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 24.15/24.54 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 24.15/24.54 parent1[3]: (52) {G1,W22,D3,L6,V4,M3} R(10,8) { ! distinct_points(
% 24.15/24.54 intersection_point( X, Y ), Z ), ! distinct_lines( T, X ), !
% 24.15/24.54 convergent_lines( X, Y ), apart_point_and_line( intersection_point( X, Y
% 24.15/24.54 ), T ), apart_point_and_line( Z, T ), apart_point_and_line( Z, X ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 X := X
% 24.15/24.54 Y := Y
% 24.15/24.54 end
% 24.15/24.54 substitution1:
% 24.15/24.54 X := X
% 24.15/24.54 Y := Y
% 24.15/24.54 Z := Z
% 24.15/24.54 T := Y
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 factor: (2865) {G1,W17,D3,L5,V3,M5} { ! convergent_lines( X, Y ), !
% 24.15/24.54 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( Y, X
% 24.15/24.54 ), apart_point_and_line( Z, Y ), apart_point_and_line( Z, X ) }.
% 24.15/24.54 parent0[0, 3]: (2858) {G1,W20,D3,L6,V3,M6} { ! convergent_lines( X, Y ), !
% 24.15/24.54 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( Y, X
% 24.15/24.54 ), ! convergent_lines( X, Y ), apart_point_and_line( Z, Y ),
% 24.15/24.54 apart_point_and_line( Z, X ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 X := X
% 24.15/24.54 Y := Y
% 24.15/24.54 Z := Z
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 subsumption: (761) {G2,W17,D3,L5,V3,M2} R(52,9);f { ! distinct_points(
% 24.15/24.54 intersection_point( X, Y ), Z ), ! convergent_lines( X, Y ), !
% 24.15/24.54 distinct_lines( Y, X ), apart_point_and_line( Z, X ),
% 24.15/24.54 apart_point_and_line( Z, Y ) }.
% 24.15/24.54 parent0: (2865) {G1,W17,D3,L5,V3,M5} { ! convergent_lines( X, Y ), !
% 24.15/24.54 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( Y, X
% 24.15/24.54 ), apart_point_and_line( Z, Y ), apart_point_and_line( Z, X ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 X := X
% 24.15/24.54 Y := Y
% 24.15/24.54 Z := Z
% 24.15/24.54 end
% 24.15/24.54 permutation0:
% 24.15/24.54 0 ==> 1
% 24.15/24.54 1 ==> 0
% 24.15/24.54 2 ==> 2
% 24.15/24.54 3 ==> 4
% 24.15/24.54 4 ==> 3
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 resolution: (2868) {G1,W21,D3,L5,V3,M5} { ! convergent_lines( X, Y ), !
% 24.15/24.54 distinct_points( intersection_point( Z, X ), intersection_point( X, Y ) )
% 24.15/24.54 , ! convergent_lines( Z, X ), ! distinct_lines( X, Z ),
% 24.15/24.54 apart_point_and_line( intersection_point( X, Y ), Z ) }.
% 24.15/24.54 parent0[1]: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 24.15/24.54 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 24.15/24.54 parent1[4]: (761) {G2,W17,D3,L5,V3,M2} R(52,9);f { ! distinct_points(
% 24.15/24.54 intersection_point( X, Y ), Z ), ! convergent_lines( X, Y ), !
% 24.15/24.54 distinct_lines( Y, X ), apart_point_and_line( Z, X ),
% 24.15/24.54 apart_point_and_line( Z, Y ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 X := X
% 24.15/24.54 Y := Y
% 24.15/24.54 end
% 24.15/24.54 substitution1:
% 24.15/24.54 X := Z
% 24.15/24.54 Y := X
% 24.15/24.54 Z := intersection_point( X, Y )
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 subsumption: (2016) {G3,W21,D3,L5,V3,M1} R(761,8) { ! convergent_lines( X,
% 24.15/24.54 Y ), ! distinct_points( intersection_point( X, Y ), intersection_point( Y
% 24.15/24.54 , Z ) ), ! distinct_lines( Y, X ), ! convergent_lines( Y, Z ),
% 24.15/24.54 apart_point_and_line( intersection_point( Y, Z ), X ) }.
% 24.15/24.54 parent0: (2868) {G1,W21,D3,L5,V3,M5} { ! convergent_lines( X, Y ), !
% 24.15/24.54 distinct_points( intersection_point( Z, X ), intersection_point( X, Y ) )
% 24.15/24.54 , ! convergent_lines( Z, X ), ! distinct_lines( X, Z ),
% 24.15/24.54 apart_point_and_line( intersection_point( X, Y ), Z ) }.
% 24.15/24.54 substitution0:
% 24.15/24.54 X := Y
% 24.15/24.54 Y := Z
% 24.15/24.54 Z := X
% 24.15/24.54 end
% 24.15/24.54 permutation0:
% 24.15/24.54 0 ==> 3
% 24.15/24.54 1 ==> 1
% 24.15/24.54 2 ==> 0
% 24.15/24.54 3 ==> 2
% 24.15/24.54 4 ==> 4
% 24.15/24.54 end
% 24.15/24.54
% 24.15/24.54 resolution: (2870) {G1,W19,D3,L5,V2,M5} { ! convergent_lines( X, Y ), !
% 24.15/24.54 convergent_lines( Y, X ), ! distinct_points( intersection_point( Y, X ),
% 24.15/24.54 intersection_point( X, Y ) ), ! distinct_lines( X, Y ), !
% 24.15/24.55 convergent_lines( X, Y ) }.
% 24.15/24.55 parent0[1]: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 24.15/24.55 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 24.15/24.55 parent1[4]: (2016) {G3,W21,D3,L5,V3,M1} R(761,8) { ! convergent_lines( X, Y
% 24.15/24.55 ), ! distinct_points( intersection_point( X, Y ), intersection_point( Y
% 24.15/24.55 , Z ) ), ! distinct_lines( Y, X ), ! convergent_lines( Y, Z ),
% 24.15/24.55 apart_point_and_line( intersection_point( Y, Z ), X ) }.
% 24.15/24.55 substitution0:
% 24.15/24.55 X := X
% 24.15/24.55 Y := Y
% 24.15/24.55 end
% 24.15/24.55 substitution1:
% 24.15/24.55 X := Y
% 24.15/24.55 Y := X
% 24.15/24.55 Z := Y
% 24.15/24.55 end
% 24.15/24.55
% 24.15/24.55 resolution: (2875) {G2,W19,D3,L5,V2,M5} { ! convergent_lines( X, Y ), !
% 24.15/24.55 distinct_points( intersection_point( Y, X ), intersection_point( X, Y ) )
% 24.15/24.55 , ! distinct_lines( X, Y ), ! convergent_lines( X, Y ), !
% 24.15/24.55 convergent_lines( X, Y ) }.
% 24.15/24.55 parent0[1]: (2870) {G1,W19,D3,L5,V2,M5} { ! convergent_lines( X, Y ), !
% 24.15/24.55 convergent_lines( Y, X ), ! distinct_points( intersection_point( Y, X ),
% 24.15/24.55 intersection_point( X, Y ) ), ! distinct_lines( X, Y ), !
% 24.15/24.55 convergent_lines( X, Y ) }.
% 24.15/24.55 parent1[1]: (36) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 24.15/24.55 convergent_lines( X, Y ) }.
% 24.15/24.55 substitution0:
% 24.15/24.55 X := X
% 24.15/24.55 Y := Y
% 24.15/24.55 end
% 24.15/24.55 substitution1:
% 24.15/24.55 X := Y
% 24.15/24.55 Y := X
% 24.15/24.55 end
% 24.15/24.55
% 24.15/24.55 factor: (2879) {G2,W16,D3,L4,V2,M4} { ! convergent_lines( X, Y ), !
% 24.15/24.55 distinct_points( intersection_point( Y, X ), intersection_point( X, Y ) )
% 24.15/24.55 , ! distinct_lines( X, Y ), ! convergent_lines( X, Y ) }.
% 24.15/24.55 parent0[0, 3]: (2875) {G2,W19,D3,L5,V2,M5} { ! convergent_lines( X, Y ), !
% 24.15/24.55 distinct_points( intersection_point( Y, X ), intersection_point( X, Y )
% 24.15/24.55 ), ! distinct_lines( X, Y ), ! convergent_lines( X, Y ), !
% 24.15/24.55 convergent_lines( X, Y ) }.
% 24.15/24.55 substitution0:
% 24.15/24.55 X := X
% 24.15/24.55 Y := Y
% 24.15/24.55 end
% 24.15/24.55
% 24.15/24.55 factor: (2880) {G2,W13,D3,L3,V2,M3} { ! convergent_lines( X, Y ), !
% 24.15/24.55 distinct_points( intersection_point( Y, X ), intersection_point( X, Y ) )
% 24.15/24.55 , ! distinct_lines( X, Y ) }.
% 24.15/24.55 parent0[0, 3]: (2879) {G2,W16,D3,L4,V2,M4} { ! convergent_lines( X, Y ), !
% 24.15/24.55 distinct_points( intersection_point( Y, X ), intersection_point( X, Y )
% 24.15/24.55 ), ! distinct_lines( X, Y ), ! convergent_lines( X, Y ) }.
% 24.15/24.55 substitution0:
% 24.15/24.55 X := X
% 24.15/24.55 Y := Y
% 24.15/24.55 end
% 24.15/24.55
% 24.15/24.55 subsumption: (2607) {G4,W13,D3,L3,V2,M1} R(2016,9);f;r(36) { !
% 24.15/24.55 distinct_points( intersection_point( X, Y ), intersection_point( Y, X ) )
% 24.15/24.55 , ! convergent_lines( Y, X ), ! distinct_lines( Y, X ) }.
% 24.15/24.55 parent0: (2880) {G2,W13,D3,L3,V2,M3} { ! convergent_lines( X, Y ), !
% 24.15/24.55 distinct_points( intersection_point( Y, X ), intersection_point( X, Y ) )
% 24.15/24.55 , ! distinct_lines( X, Y ) }.
% 24.15/24.55 substitution0:
% 24.15/24.55 X := Y
% 24.15/24.55 Y := X
% 24.15/24.55 end
% 24.15/24.55 permutation0:
% 24.15/24.55 0 ==> 1
% 24.15/24.55 1 ==> 0
% 24.15/24.55 2 ==> 2
% 24.15/24.55 end
% 24.15/24.55
% 24.15/24.55 resolution: (2882) {G3,W16,D3,L4,V3,M4} { ! distinct_points(
% 24.15/24.55 intersection_point( X, Y ), intersection_point( Y, X ) ), !
% 24.15/24.55 convergent_lines( Y, X ), ! convergent_lines( Z, X ), convergent_lines( Z
% 24.15/24.55 , Y ) }.
% 24.15/24.55 parent0[2]: (2607) {G4,W13,D3,L3,V2,M1} R(2016,9);f;r(36) { !
% 24.15/24.55 distinct_points( intersection_point( X, Y ), intersection_point( Y, X ) )
% 24.15/24.55 , ! convergent_lines( Y, X ), ! distinct_lines( Y, X ) }.
% 24.15/24.55 parent1[2]: (110) {G2,W9,D2,L3,V3,M1} R(13,25) { ! convergent_lines( X, Y )
% 24.15/24.55 , convergent_lines( X, Z ), distinct_lines( Z, Y ) }.
% 24.15/24.55 substitution0:
% 24.15/24.55 X := X
% 24.15/24.55 Y := Y
% 24.15/24.55 end
% 24.15/24.55 substitution1:
% 24.15/24.55 X := Z
% 24.15/24.55 Y := X
% 24.15/24.55 Z := Y
% 24.15/24.55 end
% 24.15/24.55
% 24.15/24.55 subsumption: (2640) {G5,W16,D3,L4,V3,M1} R(2607,110) { ! convergent_lines(
% 24.15/24.55 Y, X ), ! convergent_lines( Z, X ), convergent_lines( Z, Y ), !
% 24.15/24.55 distinct_points( intersection_point( X, Y ), intersection_point( Y, X ) )
% 24.15/24.55 }.
% 24.15/24.55 parent0: (2882) {G3,W16,D3,L4,V3,M4} { ! distinct_points(
% 24.15/24.55 intersection_point( X, Y ), intersection_point( Y, X ) ), !
% 24.15/24.55 convergent_lines( Y, X ), ! convergent_lines( Z, X ), convergent_lines( Z
% 24.15/24.55 , Y ) }.
% 24.15/24.55 substitution0:
% 24.15/24.55 X := X
% 24.15/24.55 Y := Y
% 24.15/24.55 Z := Z
% 24.15/24.55 end
% 24.15/24.55 permutation0:
% 24.15/24.55 0 ==> 3
% 24.15/24.55 1 ==> 0
% 24.15/24.55 2 ==> 1
% 24.15/24.55 3 ==> 2
% 24.15/24.55 end
% 24.15/24.55
% 24.15/24.55 factor: (2884) {G5,W13,D3,L3,V2,M3} { ! convergent_lines( X, Y ),
% 24.15/24.55 convergent_lines( X, X ), ! distinct_points( intersection_point( Y, X ),
% 24.15/24.55 intersection_point( X, Y ) ) }.
% 24.15/24.55 parent0[0, 1]: (2640) {G5,W16,D3,L4,V3,M1} R(2607,110) { ! convergent_lines
% 24.15/24.55 ( Y, X ), ! convergent_lines( Z, X ), convergent_lines( Z, Y ), !
% 24.15/24.55 distinct_points( intersection_point( X, Y ), intersection_point( Y, X ) )
% 24.15/24.55 }.
% 24.15/24.55 substitution0:
% 24.15/24.55 X := Y
% 24.15/24.55 Y := X
% 24.15/24.55 Z := X
% 24.15/24.55 end
% 24.15/24.55
% 24.15/24.55 resolution: (2885) {G1,W10,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 24.15/24.55 distinct_points( intersection_point( Y, X ), intersection_point( X, Y ) )
% 24.15/24.55 }.
% 24.15/24.55 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 24.15/24.55 parent1[1]: (2884) {G5,W13,D3,L3,V2,M3} { ! convergent_lines( X, Y ),
% 24.15/24.55 convergent_lines( X, X ), ! distinct_points( intersection_point( Y, X ),
% 24.15/24.55 intersection_point( X, Y ) ) }.
% 24.15/24.55 substitution0:
% 24.15/24.55 X := X
% 24.15/24.55 end
% 24.15/24.55 substitution1:
% 24.15/24.55 X := X
% 24.15/24.55 Y := Y
% 24.15/24.55 end
% 24.15/24.55
% 24.15/24.55 subsumption: (2651) {G6,W10,D3,L2,V2,M1} F(2640);r(2) { ! convergent_lines
% 24.15/24.55 ( X, Y ), ! distinct_points( intersection_point( Y, X ),
% 24.15/24.55 intersection_point( X, Y ) ) }.
% 24.15/24.55 parent0: (2885) {G1,W10,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 24.15/24.55 distinct_points( intersection_point( Y, X ), intersection_point( X, Y ) )
% 24.15/24.55 }.
% 24.15/24.55 substitution0:
% 24.15/24.55 X := X
% 24.15/24.55 Y := Y
% 24.15/24.55 end
% 24.15/24.55 permutation0:
% 24.15/24.55 0 ==> 0
% 24.15/24.55 1 ==> 1
% 24.15/24.55 end
% 24.15/24.55
% 24.15/24.55 resolution: (2886) {G3,W3,D2,L1,V0,M1} { ! convergent_lines( skol1, skol2
% 24.15/24.55 ) }.
% 24.15/24.55 parent0[1]: (2651) {G6,W10,D3,L2,V2,M1} F(2640);r(2) { ! convergent_lines(
% 24.15/24.55 X, Y ), ! distinct_points( intersection_point( Y, X ), intersection_point
% 24.15/24.55 ( X, Y ) ) }.
% 24.15/24.55 parent1[0]: (22) {G2,W7,D3,L1,V0,M1} R(19,15) { distinct_points(
% 24.15/24.55 intersection_point( skol2, skol1 ), intersection_point( skol1, skol2 ) )
% 24.15/24.55 }.
% 24.15/24.55 substitution0:
% 24.15/24.55 X := skol1
% 24.15/24.55 Y := skol2
% 24.15/24.55 end
% 24.15/24.55 substitution1:
% 24.15/24.55 end
% 24.15/24.55
% 24.15/24.55 resolution: (2887) {G1,W0,D0,L0,V0,M0} { }.
% 24.15/24.55 parent0[0]: (2886) {G3,W3,D2,L1,V0,M1} { ! convergent_lines( skol1, skol2
% 24.15/24.55 ) }.
% 24.15/24.55 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 24.15/24.55 }.
% 24.15/24.55 substitution0:
% 24.15/24.55 end
% 24.15/24.55 substitution1:
% 24.15/24.55 end
% 24.15/24.55
% 24.15/24.55 subsumption: (2775) {G7,W0,D0,L0,V0,M0} R(2651,22);r(14) { }.
% 24.15/24.55 parent0: (2887) {G1,W0,D0,L0,V0,M0} { }.
% 24.15/24.55 substitution0:
% 24.15/24.55 end
% 24.15/24.55 permutation0:
% 24.15/24.55 end
% 24.15/24.55
% 24.15/24.55 Proof check complete!
% 24.15/24.55
% 24.15/24.55 Memory use:
% 24.15/24.55
% 24.15/24.55 space for terms: 56809
% 24.15/24.55 space for clauses: 101026
% 24.15/24.55
% 24.15/24.55
% 24.15/24.55 clauses generated: 1974004
% 24.15/24.55 clauses kept: 2776
% 24.15/24.55 clauses selected: 2447
% 24.15/24.55 clauses deleted: 16
% 24.15/24.55 clauses inuse deleted: 0
% 24.15/24.55
% 24.15/24.55 subsentry: 4742908
% 24.15/24.55 literals s-matched: 2709665
% 24.15/24.55 literals matched: 2709633
% 24.15/24.55 full subsumption: 2318610
% 24.15/24.55
% 24.15/24.55 checksum: -338296307
% 24.15/24.55
% 24.15/24.55
% 24.15/24.55 Bliksem ended
%------------------------------------------------------------------------------