%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO204+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 02:52:41 EDT 2022
% Result : Theorem 52.45s 52.82s
% Output : Refutation 52.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO204+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sat Jun 18 08:32:31 EDT 2022
% 0.13/0.33 % CPUTime :
% 52.45/52.82 *** allocated 10000 integers for termspace/termends
% 52.45/52.82 *** allocated 10000 integers for clauses
% 52.45/52.82 *** allocated 10000 integers for justifications
% 52.45/52.82 Bliksem 1.12
% 52.45/52.82
% 52.45/52.82
% 52.45/52.82 Automatic Strategy Selection
% 52.45/52.82
% 52.45/52.82
% 52.45/52.82 Clauses:
% 52.45/52.82
% 52.45/52.82 { ! distinct_points( X, X ) }.
% 52.45/52.82 { ! distinct_lines( X, X ) }.
% 52.45/52.82 { ! convergent_lines( X, X ) }.
% 52.45/52.82 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 52.45/52.82 ) }.
% 52.45/52.82 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 52.45/52.82 }.
% 52.45/52.82 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 52.45/52.82 , Z ) }.
% 52.45/52.82 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 52.45/52.82 , Y ) ) }.
% 52.45/52.82 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 52.45/52.82 , Y ) ) }.
% 52.45/52.82 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 52.45/52.82 , Y ), X ) }.
% 52.45/52.82 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 52.45/52.82 , Y ), Y ) }.
% 52.45/52.82 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 52.45/52.82 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 52.45/52.82 apart_point_and_line( Y, T ) }.
% 52.45/52.82 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 52.45/52.82 apart_point_and_line( Z, Y ) }.
% 52.45/52.82 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 52.45/52.82 apart_point_and_line( X, Z ) }.
% 52.45/52.82 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 52.45/52.82 Z ) }.
% 52.45/52.82 { distinct_points( skol1, skol2 ) }.
% 52.45/52.82 { ! distinct_points( skol2, skol3 ) }.
% 52.45/52.82 { ! distinct_points( skol1, skol3 ), distinct_lines( line_connecting( skol1
% 52.45/52.82 , skol2 ), line_connecting( skol1, skol3 ) ) }.
% 52.45/52.82
% 52.45/52.82 percentage equality = 0.000000, percentage horn = 0.588235
% 52.45/52.82 This a non-horn, non-equality problem
% 52.45/52.82
% 52.45/52.82
% 52.45/52.82 Options Used:
% 52.45/52.82
% 52.45/52.82 useres = 1
% 52.45/52.82 useparamod = 0
% 52.45/52.82 useeqrefl = 0
% 52.45/52.82 useeqfact = 0
% 52.45/52.82 usefactor = 1
% 52.45/52.82 usesimpsplitting = 0
% 52.45/52.82 usesimpdemod = 0
% 52.45/52.82 usesimpres = 3
% 52.45/52.82
% 52.45/52.82 resimpinuse = 1000
% 52.45/52.82 resimpclauses = 20000
% 52.45/52.82 substype = standard
% 52.45/52.82 backwardsubs = 1
% 52.45/52.82 selectoldest = 5
% 52.45/52.82
% 52.45/52.82 litorderings [0] = split
% 52.45/52.82 litorderings [1] = liftord
% 52.45/52.82
% 52.45/52.82 termordering = none
% 52.45/52.82
% 52.45/52.82 litapriori = 1
% 52.45/52.82 termapriori = 0
% 52.45/52.82 litaposteriori = 0
% 52.45/52.82 termaposteriori = 0
% 52.45/52.82 demodaposteriori = 0
% 52.45/52.82 ordereqreflfact = 0
% 52.45/52.82
% 52.45/52.82 litselect = none
% 52.45/52.82
% 52.45/52.82 maxweight = 15
% 52.45/52.82 maxdepth = 30000
% 52.45/52.82 maxlength = 115
% 52.45/52.82 maxnrvars = 195
% 52.45/52.82 excuselevel = 1
% 52.45/52.82 increasemaxweight = 1
% 52.45/52.82
% 52.45/52.82 maxselected = 10000000
% 52.45/52.82 maxnrclauses = 10000000
% 52.45/52.82
% 52.45/52.82 showgenerated = 0
% 52.45/52.82 showkept = 0
% 52.45/52.82 showselected = 0
% 52.45/52.82 showdeleted = 0
% 52.45/52.82 showresimp = 1
% 52.45/52.82 showstatus = 2000
% 52.45/52.82
% 52.45/52.82 prologoutput = 0
% 52.45/52.82 nrgoals = 5000000
% 52.45/52.82 totalproof = 1
% 52.45/52.82
% 52.45/52.82 Symbols occurring in the translation:
% 52.45/52.82
% 52.45/52.82 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 52.45/52.82 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 52.45/52.82 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 52.45/52.82 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 52.45/52.82 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 52.45/52.82 distinct_points [36, 2] (w:1, o:44, a:1, s:1, b:0),
% 52.45/52.82 distinct_lines [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 52.45/52.82 convergent_lines [38, 2] (w:1, o:43, a:1, s:1, b:0),
% 52.45/52.82 line_connecting [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 52.45/52.82 apart_point_and_line [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 52.45/52.82 intersection_point [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 52.45/52.82 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 52.45/52.82 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 52.45/52.82 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0).
% 52.45/52.82
% 52.45/52.82
% 52.45/52.82 Starting Search:
% 52.45/52.82
% 52.45/52.82 *** allocated 15000 integers for clauses
% 52.45/52.82 *** allocated 22500 integers for clauses
% 52.45/52.82 *** allocated 33750 integers for clauses
% 52.45/52.82 Resimplifying inuse:
% 52.45/52.82 Done
% 52.45/52.82
% 52.45/52.82 Failed to find proof!
% 52.45/52.82 maxweight = 15
% 52.45/52.82 maxnrclauses = 10000000
% 52.45/52.82 Generated: 395621
% 52.45/52.82 Kept: 644
% 52.45/52.82
% 52.45/52.82
% 52.45/52.82 The strategy used was not complete!
% 52.45/52.82
% 52.45/52.82 Increased maxweight to 16
% 52.45/52.82
% 52.45/52.82 Starting Search:
% 52.45/52.82
% 52.45/52.82 Resimplifying inuse:
% 52.45/52.82 Done
% 52.45/52.82
% 52.45/52.82 Failed to find proof!
% 52.45/52.82 maxweight = 16
% 52.45/52.82 maxnrclauses = 10000000
% 52.45/52.82 Generated: 397509
% 52.45/52.82 Kept: 660
% 52.45/52.82
% 52.45/52.82
% 52.45/52.82 The strategy used was not complete!
% 52.45/52.82
% 52.45/52.82 Increased maxweight to 17
% 52.45/52.82
% 52.45/52.82 Starting Search:
% 52.45/52.82
% 52.45/52.82 *** allocated 15000 integers for termspace/termends
% 52.45/52.82 Resimplifying inuse:
% 52.45/52.82 Done
% 52.45/52.82
% 52.45/52.82 Failed to find proof!
% 52.45/52.82 maxweight = 17
% 52.45/52.82 maxnrclauses = 10000000
% 52.45/52.82 Generated: 424953
% 52.45/52.82 Kept: 808
% 52.45/52.82
% 52.45/52.82
% 52.45/52.82 The strategy used was not complete!
% 52.45/52.82
% 52.45/52.82 Increased maxweight to 18
% 52.45/52.82
% 52.45/52.82 Starting Search:
% 52.45/52.82
% 52.45/52.82 *** allocated 22500 integers for termspace/termends
% 52.45/52.82 *** allocated 50625 integers for clauses
% 52.45/52.82 Resimplifying inuse:
% 52.45/52.82 Done
% 52.45/52.82
% 52.45/52.82 *** allocated 33750 integers for termspace/termends
% 52.45/52.82 *** allocated 75937 integers for clauses
% 52.45/52.82
% 52.45/52.82 Bliksems!, er is een bewijs:
% 52.45/52.82 % SZS status Theorem
% 52.45/52.82 % SZS output start Refutation
% 52.45/52.82
% 52.45/52.82 (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 52.45/52.82 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 52.45/52.82 (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 52.45/52.82 ), ! distinct_points( X, Y ) }.
% 52.45/52.82 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 52.45/52.82 , ! distinct_lines( X, Y ) }.
% 52.45/52.82 (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 52.45/52.82 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 52.45/52.82 (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 52.45/52.82 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 52.45/52.82 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 52.45/52.82 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 52.45/52.82 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 52.45/52.82 (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 52.45/52.82 ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 52.45/52.82 (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 ) }.
% 52.45/52.82 (15) {G0,W3,D2,L1,V0,M1} I { ! distinct_points( skol2, skol3 ) }.
% 52.45/52.82 (16) {G0,W10,D3,L2,V0,M1} I { ! distinct_points( skol1, skol3 ),
% 52.45/52.82 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol1,
% 52.45/52.82 skol3 ) ) }.
% 52.45/52.82 (19) {G1,W6,D2,L2,V1,M1} R(3,14) { distinct_points( skol1, X ),
% 52.45/52.82 distinct_points( skol2, X ) }.
% 52.45/52.82 (22) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 52.45/52.82 distinct_points( X, Y ) }.
% 52.45/52.82 (26) {G2,W3,D2,L1,V0,M1} R(22,15) { ! distinct_points( skol3, skol2 ) }.
% 52.45/52.82 (27) {G3,W6,D2,L2,V1,M2} R(26,3) { ! distinct_points( skol3, X ),
% 52.45/52.82 distinct_points( X, skol2 ) }.
% 52.45/52.82 (28) {G3,W6,D2,L2,V1,M1} R(26,3) { distinct_points( X, skol2 ), !
% 52.45/52.82 distinct_points( X, skol3 ) }.
% 52.45/52.82 (29) {G4,W6,D2,L2,V1,M1} R(27,22) { distinct_points( skol2, X ), !
% 52.45/52.82 distinct_points( skol3, X ) }.
% 52.45/52.82 (33) {G1,W12,D2,L4,V4,M4} R(4,4) { ! distinct_lines( Z, X ), distinct_lines
% 52.45/52.82 ( Z, T ), distinct_lines( Y, T ), distinct_lines( X, Y ) }.
% 52.45/52.82 (35) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 52.45/52.82 ( X, Y ) }.
% 52.45/52.82 (49) {G4,W3,D2,L1,V0,M1} R(19,28);r(0) { distinct_points( skol1, skol3 )
% 52.45/52.82 }.
% 52.45/52.82 (52) {G5,W3,D2,L1,V0,M1} R(49,22) { distinct_points( skol3, skol1 ) }.
% 52.45/52.82 (53) {G5,W6,D2,L2,V1,M1} R(49,3) { distinct_points( skol1, X ),
% 52.45/52.82 distinct_points( skol3, X ) }.
% 52.45/52.82 (54) {G6,W6,D2,L2,V1,M2} R(53,22) { distinct_points( X, skol3 ),
% 52.45/52.82 distinct_points( skol1, X ) }.
% 52.45/52.82 (56) {G7,W6,D2,L2,V1,M1} R(54,22) { distinct_points( X, skol1 ),
% 52.45/52.82 distinct_points( X, skol3 ) }.
% 52.45/52.82 (58) {G8,W6,D2,L2,V1,M1} R(56,28) { distinct_points( X, skol1 ),
% 52.45/52.82 distinct_points( X, skol2 ) }.
% 52.45/52.82 (86) {G1,W22,D3,L6,V4,M3} R(10,6) { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( Z, line_connecting( X, T ) ), ! distinct_points( X, T ),
% 52.45/52.82 apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ),
% 52.45/52.82 apart_point_and_line( Y, line_connecting( X, T ) ) }.
% 52.45/52.82 (89) {G1,W22,D3,L6,V4,M3} R(10,6) { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( line_connecting( X, Z ), T ), ! distinct_points( X, Z ),
% 52.45/52.82 apart_point_and_line( Y, T ), apart_point_and_line( X, T ),
% 52.45/52.82 apart_point_and_line( Y, line_connecting( X, Z ) ) }.
% 52.45/52.82 (90) {G2,W14,D3,L4,V3,M2} F(89);r(7) { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( X, Z
% 52.45/52.82 ), apart_point_and_line( Y, Z ) }.
% 52.45/52.82 (91) {G2,W14,D3,L4,V3,M2} F(86);r(7) { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line( Y, Z
% 52.45/52.82 ), apart_point_and_line( X, Z ) }.
% 52.45/52.82 (104) {G1,W12,D2,L4,V4,M2} R(11,11) { distinct_points( X, Y ),
% 52.45/52.82 distinct_points( Y, T ), apart_point_and_line( T, Z ), !
% 52.45/52.82 apart_point_and_line( X, Z ) }.
% 52.45/52.82 (112) {G1,W11,D3,L3,V3,M1} R(11,6) { distinct_points( X, Y ), !
% 52.45/52.82 distinct_points( Y, Z ), ! apart_point_and_line( X, line_connecting( Y, Z
% 52.45/52.82 ) ) }.
% 52.45/52.82 (167) {G5,W7,D3,L1,V0,M1} S(16);r(49) { distinct_lines( line_connecting(
% 52.45/52.82 skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 52.45/52.82 (393) {G6,W13,D3,L3,V2,M3} R(33,167) { distinct_lines( Y, X ),
% 52.45/52.82 distinct_lines( line_connecting( skol1, skol3 ), Y ), distinct_lines(
% 52.45/52.82 line_connecting( skol1, skol2 ), X ) }.
% 52.45/52.82 (772) {G2,W17,D3,L5,V5,M1} R(104,112) { distinct_points( X, Y ),
% 52.45/52.82 distinct_points( Y, Z ), distinct_points( Z, T ), ! distinct_points( T, U
% 52.45/52.82 ), ! apart_point_and_line( X, line_connecting( T, U ) ) }.
% 52.45/52.82 (781) {G3,W11,D3,L3,V3,M1} F(772);r(22) { distinct_points( Y, X ), !
% 52.45/52.82 distinct_points( Y, Z ), ! apart_point_and_line( X, line_connecting( Y, Z
% 52.45/52.82 ) ) }.
% 52.45/52.82 (1234) {G3,W18,D3,L4,V3,M1} R(90,7) { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( line_connecting( X, Y ), line_connecting( Z, X ) ), !
% 52.45/52.82 distinct_points( Z, X ), apart_point_and_line( Y, line_connecting( Z, X )
% 52.45/52.82 ) }.
% 52.45/52.82 (1300) {G3,W18,D3,L4,V3,M1} R(91,7) { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( line_connecting( Z, Y ), line_connecting( X, Y ) ), !
% 52.45/52.82 distinct_points( Z, Y ), apart_point_and_line( X, line_connecting( Z, Y )
% 52.45/52.82 ) }.
% 52.45/52.82 (1528) {G4,W16,D3,L4,V3,M1} R(1300,781);f { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_points( Z, Y ), distinct_points( Z, X ), ! distinct_lines(
% 52.45/52.82 line_connecting( Z, Y ), line_connecting( X, Y ) ) }.
% 52.45/52.82 (1609) {G4,W10,D3,L2,V2,M1} R(1234,6);f;r(22) { ! distinct_points( Y, X ),
% 52.45/52.82 ! distinct_lines( line_connecting( X, Y ), line_connecting( Y, X ) ) }.
% 52.45/52.82 (1638) {G7,W10,D3,L2,V1,M1} R(1609,393);r(52) { distinct_lines(
% 52.45/52.82 line_connecting( skol3, skol1 ), X ), distinct_lines( line_connecting(
% 52.45/52.82 skol1, skol2 ), X ) }.
% 52.45/52.82 (1697) {G5,W10,D3,L2,V2,M1} R(1609,35) { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( line_connecting( X, Y ), line_connecting( Y, X ) ) }.
% 52.45/52.82 (1809) {G8,W7,D3,L1,V0,M1} R(1638,1697);r(14) { distinct_lines(
% 52.45/52.82 line_connecting( skol3, skol1 ), line_connecting( skol2, skol1 ) ) }.
% 52.45/52.82 (1810) {G9,W6,D2,L2,V0,M1} R(1809,1528);r(29) { ! distinct_points( skol3,
% 52.45/52.82 skol1 ), distinct_points( skol3, skol2 ) }.
% 52.45/52.82 (1840) {G10,W0,D0,L0,V0,M0} S(1810);r(58);r(26) { }.
% 52.45/52.82
% 52.45/52.82
% 52.45/52.82 % SZS output end Refutation
% 52.45/52.82 found a proof!
% 52.45/52.82
% 52.45/52.82
% 52.45/52.82 Unprocessed initial clauses:
% 52.45/52.82
% 52.45/52.82 (1842) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 52.45/52.82 (1843) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 52.45/52.82 (1844) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 52.45/52.82 (1845) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 52.45/52.82 , Z ), distinct_points( Y, Z ) }.
% 52.45/52.82 (1846) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 52.45/52.82 Z ), distinct_lines( Y, Z ) }.
% 52.45/52.82 (1847) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 52.45/52.82 ( X, Z ), convergent_lines( Y, Z ) }.
% 52.45/52.82 (1848) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 52.45/52.82 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 52.45/52.82 (1849) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 52.45/52.82 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 52.45/52.82 (1850) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 52.45/52.82 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 52.45/52.82 (1851) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 52.45/52.82 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 52.45/52.82 (1852) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 52.45/52.82 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 52.45/52.82 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 52.45/52.82 (1853) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 52.45/52.82 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 52.45/52.82 (1854) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 52.45/52.82 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 52.45/52.82 (1855) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines( Y
% 52.45/52.82 , Z ), convergent_lines( X, Z ) }.
% 52.45/52.82 (1856) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 52.45/52.82 (1857) {G0,W3,D2,L1,V0,M1} { ! distinct_points( skol2, skol3 ) }.
% 52.45/52.82 (1858) {G0,W10,D3,L2,V0,M2} { ! distinct_points( skol1, skol3 ),
% 52.45/52.82 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol1,
% 52.45/52.82 skol3 ) ) }.
% 52.45/52.82
% 52.45/52.82
% 52.45/52.82 Total Proof:
% 52.45/52.82
% 52.45/52.82 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 52.45/52.82 parent0: (1842) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 0
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 52.45/52.82 parent0: (1843) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 0
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 52.45/52.82 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 52.45/52.82 parent0: (1845) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ),
% 52.45/52.82 distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 Z := Z
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 2
% 52.45/52.82 1 ==> 0
% 52.45/52.82 2 ==> 1
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 52.45/52.82 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 52.45/52.82 parent0: (1846) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 52.45/52.82 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 Z := Z
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 2
% 52.45/52.82 1 ==> 0
% 52.45/52.82 2 ==> 1
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 52.45/52.82 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 52.45/52.82 parent0: (1848) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 52.45/52.82 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 0
% 52.45/52.82 1 ==> 1
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 52.45/52.82 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 52.45/52.82 parent0: (1849) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 52.45/52.82 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 0
% 52.45/52.82 1 ==> 1
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 52.45/52.82 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 52.45/52.82 apart_point_and_line( X, Z ) }.
% 52.45/52.82 parent0: (1852) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 52.45/52.82 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 52.45/52.82 apart_point_and_line( Y, T ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 Z := Z
% 52.45/52.82 T := T
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 0
% 52.45/52.82 1 ==> 1
% 52.45/52.82 2 ==> 5
% 52.45/52.82 3 ==> 2
% 52.45/52.82 4 ==> 3
% 52.45/52.82 5 ==> 4
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 52.45/52.82 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 52.45/52.82 parent0: (1853) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 52.45/52.82 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 Z := Z
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 2
% 52.45/52.82 1 ==> 0
% 52.45/52.82 2 ==> 1
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 52.45/52.82 }.
% 52.45/52.82 parent0: (1856) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 0
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (15) {G0,W3,D2,L1,V0,M1} I { ! distinct_points( skol2, skol3 )
% 52.45/52.82 }.
% 52.45/52.82 parent0: (1857) {G0,W3,D2,L1,V0,M1} { ! distinct_points( skol2, skol3 )
% 52.45/52.82 }.
% 52.45/52.82 substitution0:
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 0
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (16) {G0,W10,D3,L2,V0,M1} I { ! distinct_points( skol1, skol3
% 52.45/52.82 ), distinct_lines( line_connecting( skol1, skol2 ), line_connecting(
% 52.45/52.82 skol1, skol3 ) ) }.
% 52.45/52.82 parent0: (1858) {G0,W10,D3,L2,V0,M2} { ! distinct_points( skol1, skol3 ),
% 52.45/52.82 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol1,
% 52.45/52.82 skol3 ) ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 0
% 52.45/52.82 1 ==> 1
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (1913) {G1,W6,D2,L2,V1,M2} { distinct_points( skol1, X ),
% 52.45/52.82 distinct_points( skol2, X ) }.
% 52.45/52.82 parent0[2]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 52.45/52.82 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 52.45/52.82 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 52.45/52.82 }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := skol1
% 52.45/52.82 Y := skol2
% 52.45/52.82 Z := X
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (19) {G1,W6,D2,L2,V1,M1} R(3,14) { distinct_points( skol1, X )
% 52.45/52.82 , distinct_points( skol2, X ) }.
% 52.45/52.82 parent0: (1913) {G1,W6,D2,L2,V1,M2} { distinct_points( skol1, X ),
% 52.45/52.82 distinct_points( skol2, X ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 0
% 52.45/52.82 1 ==> 1
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (1914) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 52.45/52.82 distinct_points( X, Y ) }.
% 52.45/52.82 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 52.45/52.82 parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 52.45/52.82 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 Z := X
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (22) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 52.45/52.82 distinct_points( X, Y ) }.
% 52.45/52.82 parent0: (1914) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 52.45/52.82 distinct_points( X, Y ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := Y
% 52.45/52.82 Y := X
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 1
% 52.45/52.82 1 ==> 0
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (1916) {G1,W3,D2,L1,V0,M1} { ! distinct_points( skol3, skol2 )
% 52.45/52.82 }.
% 52.45/52.82 parent0[0]: (15) {G0,W3,D2,L1,V0,M1} I { ! distinct_points( skol2, skol3 )
% 52.45/52.82 }.
% 52.45/52.82 parent1[1]: (22) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 52.45/52.82 distinct_points( X, Y ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := skol2
% 52.45/52.82 Y := skol3
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (26) {G2,W3,D2,L1,V0,M1} R(22,15) { ! distinct_points( skol3,
% 52.45/52.82 skol2 ) }.
% 52.45/52.82 parent0: (1916) {G1,W3,D2,L1,V0,M1} { ! distinct_points( skol3, skol2 )
% 52.45/52.82 }.
% 52.45/52.82 substitution0:
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 0
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (1917) {G1,W6,D2,L2,V1,M2} { distinct_points( X, skol2 ), !
% 52.45/52.82 distinct_points( skol3, X ) }.
% 52.45/52.82 parent0[0]: (26) {G2,W3,D2,L1,V0,M1} R(22,15) { ! distinct_points( skol3,
% 52.45/52.82 skol2 ) }.
% 52.45/52.82 parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 52.45/52.82 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := skol3
% 52.45/52.82 Y := X
% 52.45/52.82 Z := skol2
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (27) {G3,W6,D2,L2,V1,M2} R(26,3) { ! distinct_points( skol3, X
% 52.45/52.82 ), distinct_points( X, skol2 ) }.
% 52.45/52.82 parent0: (1917) {G1,W6,D2,L2,V1,M2} { distinct_points( X, skol2 ), !
% 52.45/52.82 distinct_points( skol3, X ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 1
% 52.45/52.82 1 ==> 0
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (1920) {G1,W6,D2,L2,V1,M2} { distinct_points( X, skol2 ), !
% 52.45/52.82 distinct_points( X, skol3 ) }.
% 52.45/52.82 parent0[0]: (26) {G2,W3,D2,L1,V0,M1} R(22,15) { ! distinct_points( skol3,
% 52.45/52.82 skol2 ) }.
% 52.45/52.82 parent1[1]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 52.45/52.82 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := X
% 52.45/52.82 Y := skol3
% 52.45/52.82 Z := skol2
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (28) {G3,W6,D2,L2,V1,M1} R(26,3) { distinct_points( X, skol2 )
% 52.45/52.82 , ! distinct_points( X, skol3 ) }.
% 52.45/52.82 parent0: (1920) {G1,W6,D2,L2,V1,M2} { distinct_points( X, skol2 ), !
% 52.45/52.82 distinct_points( X, skol3 ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 0
% 52.45/52.82 1 ==> 1
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (1922) {G2,W6,D2,L2,V1,M2} { distinct_points( skol2, X ), !
% 52.45/52.82 distinct_points( skol3, X ) }.
% 52.45/52.82 parent0[0]: (22) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 52.45/52.82 distinct_points( X, Y ) }.
% 52.45/52.82 parent1[1]: (27) {G3,W6,D2,L2,V1,M2} R(26,3) { ! distinct_points( skol3, X
% 52.45/52.82 ), distinct_points( X, skol2 ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := skol2
% 52.45/52.82 Y := X
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := X
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (29) {G4,W6,D2,L2,V1,M1} R(27,22) { distinct_points( skol2, X
% 52.45/52.82 ), ! distinct_points( skol3, X ) }.
% 52.45/52.82 parent0: (1922) {G2,W6,D2,L2,V1,M2} { distinct_points( skol2, X ), !
% 52.45/52.82 distinct_points( skol3, X ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 0
% 52.45/52.82 1 ==> 1
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (1923) {G1,W12,D2,L4,V4,M4} { distinct_lines( X, Y ),
% 52.45/52.82 distinct_lines( Z, Y ), distinct_lines( T, Z ), ! distinct_lines( X, T )
% 52.45/52.82 }.
% 52.45/52.82 parent0[2]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 52.45/52.82 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 52.45/52.82 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 52.45/52.82 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Z
% 52.45/52.82 Z := Y
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := X
% 52.45/52.82 Y := T
% 52.45/52.82 Z := Z
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (33) {G1,W12,D2,L4,V4,M4} R(4,4) { ! distinct_lines( Z, X ),
% 52.45/52.82 distinct_lines( Z, T ), distinct_lines( Y, T ), distinct_lines( X, Y )
% 52.45/52.82 }.
% 52.45/52.82 parent0: (1923) {G1,W12,D2,L4,V4,M4} { distinct_lines( X, Y ),
% 52.45/52.82 distinct_lines( Z, Y ), distinct_lines( T, Z ), ! distinct_lines( X, T )
% 52.45/52.82 }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := Z
% 52.45/52.82 Y := T
% 52.45/52.82 Z := Y
% 52.45/52.82 T := X
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 1
% 52.45/52.82 1 ==> 2
% 52.45/52.82 2 ==> 3
% 52.45/52.82 3 ==> 0
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (1930) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 52.45/52.82 distinct_lines( X, Y ) }.
% 52.45/52.82 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 52.45/52.82 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 52.45/52.82 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 Z := X
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (35) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 52.45/52.82 distinct_lines( X, Y ) }.
% 52.45/52.82 parent0: (1930) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 52.45/52.82 distinct_lines( X, Y ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := Y
% 52.45/52.82 Y := X
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 1
% 52.45/52.82 1 ==> 0
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (1933) {G2,W6,D2,L2,V0,M2} { distinct_points( skol2, skol2 ),
% 52.45/52.82 distinct_points( skol1, skol3 ) }.
% 52.45/52.82 parent0[1]: (28) {G3,W6,D2,L2,V1,M1} R(26,3) { distinct_points( X, skol2 )
% 52.45/52.82 , ! distinct_points( X, skol3 ) }.
% 52.45/52.82 parent1[1]: (19) {G1,W6,D2,L2,V1,M1} R(3,14) { distinct_points( skol1, X )
% 52.45/52.82 , distinct_points( skol2, X ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := skol2
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := skol3
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (1934) {G1,W3,D2,L1,V0,M1} { distinct_points( skol1, skol3 )
% 52.45/52.82 }.
% 52.45/52.82 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 52.45/52.82 parent1[0]: (1933) {G2,W6,D2,L2,V0,M2} { distinct_points( skol2, skol2 ),
% 52.45/52.82 distinct_points( skol1, skol3 ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := skol2
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (49) {G4,W3,D2,L1,V0,M1} R(19,28);r(0) { distinct_points(
% 52.45/52.82 skol1, skol3 ) }.
% 52.45/52.82 parent0: (1934) {G1,W3,D2,L1,V0,M1} { distinct_points( skol1, skol3 ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 0
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (1935) {G2,W3,D2,L1,V0,M1} { distinct_points( skol3, skol1 )
% 52.45/52.82 }.
% 52.45/52.82 parent0[0]: (22) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 52.45/52.82 distinct_points( X, Y ) }.
% 52.45/52.82 parent1[0]: (49) {G4,W3,D2,L1,V0,M1} R(19,28);r(0) { distinct_points( skol1
% 52.45/52.82 , skol3 ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := skol3
% 52.45/52.82 Y := skol1
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (52) {G5,W3,D2,L1,V0,M1} R(49,22) { distinct_points( skol3,
% 52.45/52.82 skol1 ) }.
% 52.45/52.82 parent0: (1935) {G2,W3,D2,L1,V0,M1} { distinct_points( skol3, skol1 ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 0
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (1936) {G1,W6,D2,L2,V1,M2} { distinct_points( skol1, X ),
% 52.45/52.82 distinct_points( skol3, X ) }.
% 52.45/52.82 parent0[2]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 52.45/52.82 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 52.45/52.82 parent1[0]: (49) {G4,W3,D2,L1,V0,M1} R(19,28);r(0) { distinct_points( skol1
% 52.45/52.82 , skol3 ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := skol1
% 52.45/52.82 Y := skol3
% 52.45/52.82 Z := X
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (53) {G5,W6,D2,L2,V1,M1} R(49,3) { distinct_points( skol1, X )
% 52.45/52.82 , distinct_points( skol3, X ) }.
% 52.45/52.82 parent0: (1936) {G1,W6,D2,L2,V1,M2} { distinct_points( skol1, X ),
% 52.45/52.82 distinct_points( skol3, X ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 0
% 52.45/52.82 1 ==> 1
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (1938) {G2,W6,D2,L2,V1,M2} { distinct_points( X, skol3 ),
% 52.45/52.82 distinct_points( skol1, X ) }.
% 52.45/52.82 parent0[0]: (22) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 52.45/52.82 distinct_points( X, Y ) }.
% 52.45/52.82 parent1[1]: (53) {G5,W6,D2,L2,V1,M1} R(49,3) { distinct_points( skol1, X )
% 52.45/52.82 , distinct_points( skol3, X ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := skol3
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := X
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (54) {G6,W6,D2,L2,V1,M2} R(53,22) { distinct_points( X, skol3
% 52.45/52.82 ), distinct_points( skol1, X ) }.
% 52.45/52.82 parent0: (1938) {G2,W6,D2,L2,V1,M2} { distinct_points( X, skol3 ),
% 52.45/52.82 distinct_points( skol1, X ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 0
% 52.45/52.82 1 ==> 1
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (1940) {G2,W6,D2,L2,V1,M2} { distinct_points( X, skol1 ),
% 52.45/52.82 distinct_points( X, skol3 ) }.
% 52.45/52.82 parent0[0]: (22) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 52.45/52.82 distinct_points( X, Y ) }.
% 52.45/52.82 parent1[1]: (54) {G6,W6,D2,L2,V1,M2} R(53,22) { distinct_points( X, skol3 )
% 52.45/52.82 , distinct_points( skol1, X ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := skol1
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := X
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (56) {G7,W6,D2,L2,V1,M1} R(54,22) { distinct_points( X, skol1
% 52.45/52.82 ), distinct_points( X, skol3 ) }.
% 52.45/52.82 parent0: (1940) {G2,W6,D2,L2,V1,M2} { distinct_points( X, skol1 ),
% 52.45/52.82 distinct_points( X, skol3 ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 0
% 52.45/52.82 1 ==> 1
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (1941) {G4,W6,D2,L2,V1,M2} { distinct_points( X, skol2 ),
% 52.45/52.82 distinct_points( X, skol1 ) }.
% 52.45/52.82 parent0[1]: (28) {G3,W6,D2,L2,V1,M1} R(26,3) { distinct_points( X, skol2 )
% 52.45/52.82 , ! distinct_points( X, skol3 ) }.
% 52.45/52.82 parent1[1]: (56) {G7,W6,D2,L2,V1,M1} R(54,22) { distinct_points( X, skol1 )
% 52.45/52.82 , distinct_points( X, skol3 ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := X
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (58) {G8,W6,D2,L2,V1,M1} R(56,28) { distinct_points( X, skol1
% 52.45/52.82 ), distinct_points( X, skol2 ) }.
% 52.45/52.82 parent0: (1941) {G4,W6,D2,L2,V1,M2} { distinct_points( X, skol2 ),
% 52.45/52.82 distinct_points( X, skol1 ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 1
% 52.45/52.82 1 ==> 0
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (1942) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_points( X, Z ), ! distinct_lines( T, line_connecting( X, Y ) ),
% 52.45/52.82 apart_point_and_line( Z, T ), apart_point_and_line( Z, line_connecting( X
% 52.45/52.82 , Y ) ), apart_point_and_line( X, T ) }.
% 52.45/52.82 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 52.45/52.82 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 52.45/52.82 parent1[2]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 52.45/52.82 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 52.45/52.82 apart_point_and_line( X, Z ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Z
% 52.45/52.82 Z := T
% 52.45/52.82 T := line_connecting( X, Y )
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (86) {G1,W22,D3,L6,V4,M3} R(10,6) { ! distinct_points( X, Y )
% 52.45/52.82 , ! distinct_lines( Z, line_connecting( X, T ) ), ! distinct_points( X, T
% 52.45/52.82 ), apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ),
% 52.45/52.82 apart_point_and_line( Y, line_connecting( X, T ) ) }.
% 52.45/52.82 parent0: (1942) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_points( X, Z ), ! distinct_lines( T, line_connecting( X, Y ) ),
% 52.45/52.82 apart_point_and_line( Z, T ), apart_point_and_line( Z, line_connecting( X
% 52.45/52.82 , Y ) ), apart_point_and_line( X, T ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := T
% 52.45/52.82 Z := Y
% 52.45/52.82 T := Z
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 2
% 52.45/52.82 1 ==> 0
% 52.45/52.82 2 ==> 1
% 52.45/52.82 3 ==> 4
% 52.45/52.82 4 ==> 5
% 52.45/52.82 5 ==> 3
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (1961) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_points( X, Z ), ! distinct_lines( line_connecting( X, Y ), T ),
% 52.45/52.82 apart_point_and_line( X, T ), apart_point_and_line( Z, line_connecting( X
% 52.45/52.82 , Y ) ), apart_point_and_line( Z, T ) }.
% 52.45/52.82 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 52.45/52.82 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 52.45/52.82 parent1[5]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 52.45/52.82 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 52.45/52.82 apart_point_and_line( X, Z ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Z
% 52.45/52.82 Z := line_connecting( X, Y )
% 52.45/52.82 T := T
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (89) {G1,W22,D3,L6,V4,M3} R(10,6) { ! distinct_points( X, Y )
% 52.45/52.82 , ! distinct_lines( line_connecting( X, Z ), T ), ! distinct_points( X, Z
% 52.45/52.82 ), apart_point_and_line( Y, T ), apart_point_and_line( X, T ),
% 52.45/52.82 apart_point_and_line( Y, line_connecting( X, Z ) ) }.
% 52.45/52.82 parent0: (1961) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_points( X, Z ), ! distinct_lines( line_connecting( X, Y ), T ),
% 52.45/52.82 apart_point_and_line( X, T ), apart_point_and_line( Z, line_connecting( X
% 52.45/52.82 , Y ) ), apart_point_and_line( Z, T ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Z
% 52.45/52.82 Z := Y
% 52.45/52.82 T := T
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 2
% 52.45/52.82 1 ==> 0
% 52.45/52.82 2 ==> 1
% 52.45/52.82 3 ==> 4
% 52.45/52.82 4 ==> 5
% 52.45/52.82 5 ==> 3
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 factor: (1974) {G1,W19,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( Y, Z
% 52.45/52.82 ), apart_point_and_line( X, Z ), apart_point_and_line( Y,
% 52.45/52.82 line_connecting( X, Y ) ) }.
% 52.45/52.82 parent0[0, 2]: (89) {G1,W22,D3,L6,V4,M3} R(10,6) { ! distinct_points( X, Y
% 52.45/52.82 ), ! distinct_lines( line_connecting( X, Z ), T ), ! distinct_points( X
% 52.45/52.82 , Z ), apart_point_and_line( Y, T ), apart_point_and_line( X, T ),
% 52.45/52.82 apart_point_and_line( Y, line_connecting( X, Z ) ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 Z := Y
% 52.45/52.82 T := Z
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (1981) {G1,W17,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_points( X, Y ), ! distinct_lines( line_connecting( X, Y ), Z ),
% 52.45/52.82 apart_point_and_line( Y, Z ), apart_point_and_line( X, Z ) }.
% 52.45/52.82 parent0[1]: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 52.45/52.82 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 52.45/52.82 parent1[4]: (1974) {G1,W19,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( Y, Z
% 52.45/52.82 ), apart_point_and_line( X, Z ), apart_point_and_line( Y,
% 52.45/52.82 line_connecting( X, Y ) ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 Z := Z
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 factor: (1982) {G1,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( Y, Z
% 52.45/52.82 ), apart_point_and_line( X, Z ) }.
% 52.45/52.82 parent0[0, 1]: (1981) {G1,W17,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_points( X, Y ), ! distinct_lines( line_connecting( X, Y ), Z ),
% 52.45/52.82 apart_point_and_line( Y, Z ), apart_point_and_line( X, Z ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 Z := Z
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (90) {G2,W14,D3,L4,V3,M2} F(89);r(7) { ! distinct_points( X, Y
% 52.45/52.82 ), ! distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line
% 52.45/52.82 ( X, Z ), apart_point_and_line( Y, Z ) }.
% 52.45/52.82 parent0: (1982) {G1,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( Y, Z
% 52.45/52.82 ), apart_point_and_line( X, Z ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 Z := Z
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 0
% 52.45/52.82 1 ==> 1
% 52.45/52.82 2 ==> 3
% 52.45/52.82 3 ==> 2
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 factor: (1984) {G1,W19,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line( X, Z
% 52.45/52.82 ), apart_point_and_line( Y, Z ), apart_point_and_line( Y,
% 52.45/52.82 line_connecting( X, Y ) ) }.
% 52.45/52.82 parent0[0, 2]: (86) {G1,W22,D3,L6,V4,M3} R(10,6) { ! distinct_points( X, Y
% 52.45/52.82 ), ! distinct_lines( Z, line_connecting( X, T ) ), ! distinct_points( X
% 52.45/52.82 , T ), apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ),
% 52.45/52.82 apart_point_and_line( Y, line_connecting( X, T ) ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 Z := Z
% 52.45/52.82 T := Y
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (1991) {G1,W17,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_points( X, Y ), ! distinct_lines( Z, line_connecting( X, Y ) ),
% 52.45/52.82 apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ) }.
% 52.45/52.82 parent0[1]: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 52.45/52.82 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 52.45/52.82 parent1[4]: (1984) {G1,W19,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line( X, Z
% 52.45/52.82 ), apart_point_and_line( Y, Z ), apart_point_and_line( Y,
% 52.45/52.82 line_connecting( X, Y ) ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 Z := Z
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 factor: (1992) {G1,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line( X, Z
% 52.45/52.82 ), apart_point_and_line( Y, Z ) }.
% 52.45/52.82 parent0[0, 1]: (1991) {G1,W17,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_points( X, Y ), ! distinct_lines( Z, line_connecting( X, Y ) ),
% 52.45/52.82 apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 Z := Z
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (91) {G2,W14,D3,L4,V3,M2} F(86);r(7) { ! distinct_points( X, Y
% 52.45/52.82 ), ! distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line
% 52.45/52.82 ( Y, Z ), apart_point_and_line( X, Z ) }.
% 52.45/52.82 parent0: (1992) {G1,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line( X, Z
% 52.45/52.82 ), apart_point_and_line( Y, Z ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 Z := Z
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 0
% 52.45/52.82 1 ==> 1
% 52.45/52.82 2 ==> 3
% 52.45/52.82 3 ==> 2
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (1994) {G1,W12,D2,L4,V4,M4} { distinct_points( X, Y ),
% 52.45/52.82 apart_point_and_line( Y, Z ), distinct_points( T, X ), !
% 52.45/52.82 apart_point_and_line( T, Z ) }.
% 52.45/52.82 parent0[2]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 52.45/52.82 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 52.45/52.82 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 52.45/52.82 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Z
% 52.45/52.82 Z := Y
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := T
% 52.45/52.82 Y := Z
% 52.45/52.82 Z := X
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (104) {G1,W12,D2,L4,V4,M2} R(11,11) { distinct_points( X, Y )
% 52.45/52.82 , distinct_points( Y, T ), apart_point_and_line( T, Z ), !
% 52.45/52.82 apart_point_and_line( X, Z ) }.
% 52.45/52.82 parent0: (1994) {G1,W12,D2,L4,V4,M4} { distinct_points( X, Y ),
% 52.45/52.82 apart_point_and_line( Y, Z ), distinct_points( T, X ), !
% 52.45/52.82 apart_point_and_line( T, Z ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := Y
% 52.45/52.82 Y := T
% 52.45/52.82 Z := Z
% 52.45/52.82 T := X
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 1
% 52.45/52.82 1 ==> 2
% 52.45/52.82 2 ==> 0
% 52.45/52.82 3 ==> 3
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (1997) {G1,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ),
% 52.45/52.82 distinct_points( Z, X ), ! apart_point_and_line( Z, line_connecting( X, Y
% 52.45/52.82 ) ) }.
% 52.45/52.82 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 52.45/52.82 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 52.45/52.82 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 52.45/52.82 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := Z
% 52.45/52.82 Y := line_connecting( X, Y )
% 52.45/52.82 Z := X
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (112) {G1,W11,D3,L3,V3,M1} R(11,6) { distinct_points( X, Y ),
% 52.45/52.82 ! distinct_points( Y, Z ), ! apart_point_and_line( X, line_connecting( Y
% 52.45/52.82 , Z ) ) }.
% 52.45/52.82 parent0: (1997) {G1,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ),
% 52.45/52.82 distinct_points( Z, X ), ! apart_point_and_line( Z, line_connecting( X, Y
% 52.45/52.82 ) ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := Y
% 52.45/52.82 Y := Z
% 52.45/52.82 Z := X
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 1
% 52.45/52.82 1 ==> 0
% 52.45/52.82 2 ==> 2
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (1999) {G1,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 52.45/52.82 skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 52.45/52.82 parent0[0]: (16) {G0,W10,D3,L2,V0,M1} I { ! distinct_points( skol1, skol3 )
% 52.45/52.82 , distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol1
% 52.45/52.82 , skol3 ) ) }.
% 52.45/52.82 parent1[0]: (49) {G4,W3,D2,L1,V0,M1} R(19,28);r(0) { distinct_points( skol1
% 52.45/52.82 , skol3 ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (167) {G5,W7,D3,L1,V0,M1} S(16);r(49) { distinct_lines(
% 52.45/52.82 line_connecting( skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 52.45/52.82 parent0: (1999) {G1,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 52.45/52.82 skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 0
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (2000) {G2,W13,D3,L3,V2,M3} { distinct_lines( line_connecting
% 52.45/52.82 ( skol1, skol2 ), X ), distinct_lines( Y, X ), distinct_lines(
% 52.45/52.82 line_connecting( skol1, skol3 ), Y ) }.
% 52.45/52.82 parent0[0]: (33) {G1,W12,D2,L4,V4,M4} R(4,4) { ! distinct_lines( Z, X ),
% 52.45/52.82 distinct_lines( Z, T ), distinct_lines( Y, T ), distinct_lines( X, Y )
% 52.45/52.82 }.
% 52.45/52.82 parent1[0]: (167) {G5,W7,D3,L1,V0,M1} S(16);r(49) { distinct_lines(
% 52.45/52.82 line_connecting( skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := line_connecting( skol1, skol3 )
% 52.45/52.82 Y := Y
% 52.45/52.82 Z := line_connecting( skol1, skol2 )
% 52.45/52.82 T := X
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (393) {G6,W13,D3,L3,V2,M3} R(33,167) { distinct_lines( Y, X )
% 52.45/52.82 , distinct_lines( line_connecting( skol1, skol3 ), Y ), distinct_lines(
% 52.45/52.82 line_connecting( skol1, skol2 ), X ) }.
% 52.45/52.82 parent0: (2000) {G2,W13,D3,L3,V2,M3} { distinct_lines( line_connecting(
% 52.45/52.82 skol1, skol2 ), X ), distinct_lines( Y, X ), distinct_lines(
% 52.45/52.82 line_connecting( skol1, skol3 ), Y ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 2
% 52.45/52.82 1 ==> 0
% 52.45/52.82 2 ==> 1
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (2005) {G2,W17,D3,L5,V5,M5} { distinct_points( X, Y ), !
% 52.45/52.82 distinct_points( Y, Z ), distinct_points( T, U ), distinct_points( U, X )
% 52.45/52.82 , ! apart_point_and_line( T, line_connecting( Y, Z ) ) }.
% 52.45/52.82 parent0[2]: (112) {G1,W11,D3,L3,V3,M1} R(11,6) { distinct_points( X, Y ), !
% 52.45/52.82 distinct_points( Y, Z ), ! apart_point_and_line( X, line_connecting( Y,
% 52.45/52.82 Z ) ) }.
% 52.45/52.82 parent1[2]: (104) {G1,W12,D2,L4,V4,M2} R(11,11) { distinct_points( X, Y ),
% 52.45/52.82 distinct_points( Y, T ), apart_point_and_line( T, Z ), !
% 52.45/52.82 apart_point_and_line( X, Z ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 Z := Z
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := T
% 52.45/52.82 Y := U
% 52.45/52.82 Z := line_connecting( Y, Z )
% 52.45/52.82 T := X
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (772) {G2,W17,D3,L5,V5,M1} R(104,112) { distinct_points( X, Y
% 52.45/52.82 ), distinct_points( Y, Z ), distinct_points( Z, T ), ! distinct_points(
% 52.45/52.82 T, U ), ! apart_point_and_line( X, line_connecting( T, U ) ) }.
% 52.45/52.82 parent0: (2005) {G2,W17,D3,L5,V5,M5} { distinct_points( X, Y ), !
% 52.45/52.82 distinct_points( Y, Z ), distinct_points( T, U ), distinct_points( U, X )
% 52.45/52.82 , ! apart_point_and_line( T, line_connecting( Y, Z ) ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := Z
% 52.45/52.82 Y := T
% 52.45/52.82 Z := U
% 52.45/52.82 T := X
% 52.45/52.82 U := Y
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 2
% 52.45/52.82 1 ==> 3
% 52.45/52.82 2 ==> 0
% 52.45/52.82 3 ==> 1
% 52.45/52.82 4 ==> 4
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 factor: (2016) {G2,W14,D3,L4,V3,M4} { distinct_points( X, Y ),
% 52.45/52.82 distinct_points( Y, X ), ! distinct_points( Y, Z ), !
% 52.45/52.82 apart_point_and_line( X, line_connecting( Y, Z ) ) }.
% 52.45/52.82 parent0[0, 2]: (772) {G2,W17,D3,L5,V5,M1} R(104,112) { distinct_points( X,
% 52.45/52.82 Y ), distinct_points( Y, Z ), distinct_points( Z, T ), ! distinct_points
% 52.45/52.82 ( T, U ), ! apart_point_and_line( X, line_connecting( T, U ) ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 Z := X
% 52.45/52.82 T := Y
% 52.45/52.82 U := Z
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (2026) {G2,W14,D3,L4,V3,M4} { distinct_points( Y, X ),
% 52.45/52.82 distinct_points( Y, X ), ! distinct_points( Y, Z ), !
% 52.45/52.82 apart_point_and_line( X, line_connecting( Y, Z ) ) }.
% 52.45/52.82 parent0[0]: (22) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 52.45/52.82 distinct_points( X, Y ) }.
% 52.45/52.82 parent1[0]: (2016) {G2,W14,D3,L4,V3,M4} { distinct_points( X, Y ),
% 52.45/52.82 distinct_points( Y, X ), ! distinct_points( Y, Z ), !
% 52.45/52.82 apart_point_and_line( X, line_connecting( Y, Z ) ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := Y
% 52.45/52.82 Y := X
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 Z := Z
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 factor: (2028) {G2,W11,D3,L3,V3,M3} { distinct_points( X, Y ), !
% 52.45/52.82 distinct_points( X, Z ), ! apart_point_and_line( Y, line_connecting( X, Z
% 52.45/52.82 ) ) }.
% 52.45/52.82 parent0[0, 1]: (2026) {G2,W14,D3,L4,V3,M4} { distinct_points( Y, X ),
% 52.45/52.82 distinct_points( Y, X ), ! distinct_points( Y, Z ), !
% 52.45/52.82 apart_point_and_line( X, line_connecting( Y, Z ) ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := Y
% 52.45/52.82 Y := X
% 52.45/52.82 Z := Z
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (781) {G3,W11,D3,L3,V3,M1} F(772);r(22) { distinct_points( Y,
% 52.45/52.82 X ), ! distinct_points( Y, Z ), ! apart_point_and_line( X,
% 52.45/52.82 line_connecting( Y, Z ) ) }.
% 52.45/52.82 parent0: (2028) {G2,W11,D3,L3,V3,M3} { distinct_points( X, Y ), !
% 52.45/52.82 distinct_points( X, Z ), ! apart_point_and_line( Y, line_connecting( X, Z
% 52.45/52.82 ) ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := Y
% 52.45/52.82 Y := X
% 52.45/52.82 Z := Z
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 0
% 52.45/52.82 1 ==> 1
% 52.45/52.82 2 ==> 2
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (2030) {G1,W18,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_points( Y, Z ), ! distinct_lines( line_connecting( Y, Z ),
% 52.45/52.82 line_connecting( X, Y ) ), apart_point_and_line( Z, line_connecting( X, Y
% 52.45/52.82 ) ) }.
% 52.45/52.82 parent0[1]: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 52.45/52.82 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 52.45/52.82 parent1[2]: (90) {G2,W14,D3,L4,V3,M2} F(89);r(7) { ! distinct_points( X, Y
% 52.45/52.82 ), ! distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line
% 52.45/52.82 ( X, Z ), apart_point_and_line( Y, Z ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := Y
% 52.45/52.82 Y := Z
% 52.45/52.82 Z := line_connecting( X, Y )
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (1234) {G3,W18,D3,L4,V3,M1} R(90,7) { ! distinct_points( X, Y
% 52.45/52.82 ), ! distinct_lines( line_connecting( X, Y ), line_connecting( Z, X ) )
% 52.45/52.82 , ! distinct_points( Z, X ), apart_point_and_line( Y, line_connecting( Z
% 52.45/52.82 , X ) ) }.
% 52.45/52.82 parent0: (2030) {G1,W18,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_points( Y, Z ), ! distinct_lines( line_connecting( Y, Z ),
% 52.45/52.82 line_connecting( X, Y ) ), apart_point_and_line( Z, line_connecting( X, Y
% 52.45/52.82 ) ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := Z
% 52.45/52.82 Y := X
% 52.45/52.82 Z := Y
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 2
% 52.45/52.82 1 ==> 0
% 52.45/52.82 2 ==> 1
% 52.45/52.82 3 ==> 3
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (2034) {G1,W18,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_points( Z, Y ), ! distinct_lines( line_connecting( X, Y ),
% 52.45/52.82 line_connecting( Z, Y ) ), apart_point_and_line( Z, line_connecting( X, Y
% 52.45/52.82 ) ) }.
% 52.45/52.82 parent0[1]: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 52.45/52.82 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 52.45/52.82 parent1[2]: (91) {G2,W14,D3,L4,V3,M2} F(86);r(7) { ! distinct_points( X, Y
% 52.45/52.82 ), ! distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line
% 52.45/52.82 ( Y, Z ), apart_point_and_line( X, Z ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := Z
% 52.45/52.82 Y := Y
% 52.45/52.82 Z := line_connecting( X, Y )
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (1300) {G3,W18,D3,L4,V3,M1} R(91,7) { ! distinct_points( X, Y
% 52.45/52.82 ), ! distinct_lines( line_connecting( Z, Y ), line_connecting( X, Y ) )
% 52.45/52.82 , ! distinct_points( Z, Y ), apart_point_and_line( X, line_connecting( Z
% 52.45/52.82 , Y ) ) }.
% 52.45/52.82 parent0: (2034) {G1,W18,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_points( Z, Y ), ! distinct_lines( line_connecting( X, Y ),
% 52.45/52.82 line_connecting( Z, Y ) ), apart_point_and_line( Z, line_connecting( X, Y
% 52.45/52.82 ) ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := Z
% 52.45/52.82 Y := Y
% 52.45/52.82 Z := X
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 2
% 52.45/52.82 1 ==> 0
% 52.45/52.82 2 ==> 1
% 52.45/52.82 3 ==> 3
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (2040) {G4,W19,D3,L5,V3,M5} { distinct_points( X, Y ), !
% 52.45/52.82 distinct_points( X, Z ), ! distinct_points( Y, Z ), ! distinct_lines(
% 52.45/52.82 line_connecting( X, Z ), line_connecting( Y, Z ) ), ! distinct_points( X
% 52.45/52.82 , Z ) }.
% 52.45/52.82 parent0[2]: (781) {G3,W11,D3,L3,V3,M1} F(772);r(22) { distinct_points( Y, X
% 52.45/52.82 ), ! distinct_points( Y, Z ), ! apart_point_and_line( X, line_connecting
% 52.45/52.82 ( Y, Z ) ) }.
% 52.45/52.82 parent1[3]: (1300) {G3,W18,D3,L4,V3,M1} R(91,7) { ! distinct_points( X, Y )
% 52.45/52.82 , ! distinct_lines( line_connecting( Z, Y ), line_connecting( X, Y ) ), !
% 52.45/52.82 distinct_points( Z, Y ), apart_point_and_line( X, line_connecting( Z, Y
% 52.45/52.82 ) ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := Y
% 52.45/52.82 Y := X
% 52.45/52.82 Z := Z
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := Y
% 52.45/52.82 Y := Z
% 52.45/52.82 Z := X
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 factor: (2042) {G4,W16,D3,L4,V3,M4} { distinct_points( X, Y ), !
% 52.45/52.82 distinct_points( X, Z ), ! distinct_points( Y, Z ), ! distinct_lines(
% 52.45/52.82 line_connecting( X, Z ), line_connecting( Y, Z ) ) }.
% 52.45/52.82 parent0[1, 4]: (2040) {G4,W19,D3,L5,V3,M5} { distinct_points( X, Y ), !
% 52.45/52.82 distinct_points( X, Z ), ! distinct_points( Y, Z ), ! distinct_lines(
% 52.45/52.82 line_connecting( X, Z ), line_connecting( Y, Z ) ), ! distinct_points( X
% 52.45/52.82 , Z ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 Z := Z
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (1528) {G4,W16,D3,L4,V3,M1} R(1300,781);f { ! distinct_points
% 52.45/52.82 ( X, Y ), ! distinct_points( Z, Y ), distinct_points( Z, X ), !
% 52.45/52.82 distinct_lines( line_connecting( Z, Y ), line_connecting( X, Y ) ) }.
% 52.45/52.82 parent0: (2042) {G4,W16,D3,L4,V3,M4} { distinct_points( X, Y ), !
% 52.45/52.82 distinct_points( X, Z ), ! distinct_points( Y, Z ), ! distinct_lines(
% 52.45/52.82 line_connecting( X, Z ), line_connecting( Y, Z ) ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := Z
% 52.45/52.82 Y := X
% 52.45/52.82 Z := Y
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 2
% 52.45/52.82 1 ==> 1
% 52.45/52.82 2 ==> 0
% 52.45/52.82 3 ==> 3
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 *** allocated 50625 integers for termspace/termends
% 52.45/52.82 resolution: (2044) {G1,W16,D3,L4,V2,M4} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_points( Y, X ), ! distinct_lines( line_connecting( Y, X ),
% 52.45/52.82 line_connecting( X, Y ) ), ! distinct_points( X, Y ) }.
% 52.45/52.82 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 52.45/52.82 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 52.45/52.82 parent1[3]: (1234) {G3,W18,D3,L4,V3,M1} R(90,7) { ! distinct_points( X, Y )
% 52.45/52.82 , ! distinct_lines( line_connecting( X, Y ), line_connecting( Z, X ) ), !
% 52.45/52.82 distinct_points( Z, X ), apart_point_and_line( Y, line_connecting( Z, X
% 52.45/52.82 ) ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := Y
% 52.45/52.82 Y := X
% 52.45/52.82 Z := X
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (2049) {G2,W16,D3,L4,V2,M4} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( line_connecting( Y, X ), line_connecting( X, Y ) ), !
% 52.45/52.82 distinct_points( X, Y ), ! distinct_points( X, Y ) }.
% 52.45/52.82 parent0[1]: (2044) {G1,W16,D3,L4,V2,M4} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_points( Y, X ), ! distinct_lines( line_connecting( Y, X ),
% 52.45/52.82 line_connecting( X, Y ) ), ! distinct_points( X, Y ) }.
% 52.45/52.82 parent1[1]: (22) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 52.45/52.82 distinct_points( X, Y ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := Y
% 52.45/52.82 Y := X
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 factor: (2053) {G2,W13,D3,L3,V2,M3} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( line_connecting( Y, X ), line_connecting( X, Y ) ), !
% 52.45/52.82 distinct_points( X, Y ) }.
% 52.45/52.82 parent0[0, 2]: (2049) {G2,W16,D3,L4,V2,M4} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( line_connecting( Y, X ), line_connecting( X, Y ) ), !
% 52.45/52.82 distinct_points( X, Y ), ! distinct_points( X, Y ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 factor: (2054) {G2,W10,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( line_connecting( Y, X ), line_connecting( X, Y ) ) }.
% 52.45/52.82 parent0[0, 2]: (2053) {G2,W13,D3,L3,V2,M3} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( line_connecting( Y, X ), line_connecting( X, Y ) ), !
% 52.45/52.82 distinct_points( X, Y ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (1609) {G4,W10,D3,L2,V2,M1} R(1234,6);f;r(22) { !
% 52.45/52.82 distinct_points( Y, X ), ! distinct_lines( line_connecting( X, Y ),
% 52.45/52.82 line_connecting( Y, X ) ) }.
% 52.45/52.82 parent0: (2054) {G2,W10,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( line_connecting( Y, X ), line_connecting( X, Y ) ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := Y
% 52.45/52.82 Y := X
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 0
% 52.45/52.82 1 ==> 1
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (2056) {G5,W13,D3,L3,V1,M3} { ! distinct_points( skol3, skol1
% 52.45/52.82 ), distinct_lines( line_connecting( skol3, skol1 ), X ), distinct_lines
% 52.45/52.82 ( line_connecting( skol1, skol2 ), X ) }.
% 52.45/52.82 parent0[1]: (1609) {G4,W10,D3,L2,V2,M1} R(1234,6);f;r(22) { !
% 52.45/52.82 distinct_points( Y, X ), ! distinct_lines( line_connecting( X, Y ),
% 52.45/52.82 line_connecting( Y, X ) ) }.
% 52.45/52.82 parent1[1]: (393) {G6,W13,D3,L3,V2,M3} R(33,167) { distinct_lines( Y, X ),
% 52.45/52.82 distinct_lines( line_connecting( skol1, skol3 ), Y ), distinct_lines(
% 52.45/52.82 line_connecting( skol1, skol2 ), X ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := skol1
% 52.45/52.82 Y := skol3
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := X
% 52.45/52.82 Y := line_connecting( skol3, skol1 )
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (2058) {G6,W10,D3,L2,V1,M2} { distinct_lines( line_connecting
% 52.45/52.82 ( skol3, skol1 ), X ), distinct_lines( line_connecting( skol1, skol2 ), X
% 52.45/52.82 ) }.
% 52.45/52.82 parent0[0]: (2056) {G5,W13,D3,L3,V1,M3} { ! distinct_points( skol3, skol1
% 52.45/52.82 ), distinct_lines( line_connecting( skol3, skol1 ), X ), distinct_lines
% 52.45/52.82 ( line_connecting( skol1, skol2 ), X ) }.
% 52.45/52.82 parent1[0]: (52) {G5,W3,D2,L1,V0,M1} R(49,22) { distinct_points( skol3,
% 52.45/52.82 skol1 ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (1638) {G7,W10,D3,L2,V1,M1} R(1609,393);r(52) { distinct_lines
% 52.45/52.82 ( line_connecting( skol3, skol1 ), X ), distinct_lines( line_connecting(
% 52.45/52.82 skol1, skol2 ), X ) }.
% 52.45/52.82 parent0: (2058) {G6,W10,D3,L2,V1,M2} { distinct_lines( line_connecting(
% 52.45/52.82 skol3, skol1 ), X ), distinct_lines( line_connecting( skol1, skol2 ), X )
% 52.45/52.82 }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 0
% 52.45/52.82 1 ==> 1
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (2059) {G2,W10,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( line_connecting( X, Y ), line_connecting( Y, X ) ) }.
% 52.45/52.82 parent0[1]: (1609) {G4,W10,D3,L2,V2,M1} R(1234,6);f;r(22) { !
% 52.45/52.82 distinct_points( Y, X ), ! distinct_lines( line_connecting( X, Y ),
% 52.45/52.82 line_connecting( Y, X ) ) }.
% 52.45/52.82 parent1[1]: (35) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 52.45/52.82 distinct_lines( X, Y ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := Y
% 52.45/52.82 Y := X
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := line_connecting( Y, X )
% 52.45/52.82 Y := line_connecting( X, Y )
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (1697) {G5,W10,D3,L2,V2,M1} R(1609,35) { ! distinct_points( X
% 52.45/52.82 , Y ), ! distinct_lines( line_connecting( X, Y ), line_connecting( Y, X )
% 52.45/52.82 ) }.
% 52.45/52.82 parent0: (2059) {G2,W10,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 52.45/52.82 distinct_lines( line_connecting( X, Y ), line_connecting( Y, X ) ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := X
% 52.45/52.82 Y := Y
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 0
% 52.45/52.82 1 ==> 1
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (2061) {G6,W10,D3,L2,V0,M2} { ! distinct_points( skol1, skol2
% 52.45/52.82 ), distinct_lines( line_connecting( skol3, skol1 ), line_connecting(
% 52.45/52.82 skol2, skol1 ) ) }.
% 52.45/52.82 parent0[1]: (1697) {G5,W10,D3,L2,V2,M1} R(1609,35) { ! distinct_points( X,
% 52.45/52.82 Y ), ! distinct_lines( line_connecting( X, Y ), line_connecting( Y, X ) )
% 52.45/52.82 }.
% 52.45/52.82 parent1[1]: (1638) {G7,W10,D3,L2,V1,M1} R(1609,393);r(52) { distinct_lines
% 52.45/52.82 ( line_connecting( skol3, skol1 ), X ), distinct_lines( line_connecting(
% 52.45/52.82 skol1, skol2 ), X ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := skol1
% 52.45/52.82 Y := skol2
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := line_connecting( skol2, skol1 )
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (2062) {G1,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 52.45/52.82 skol3, skol1 ), line_connecting( skol2, skol1 ) ) }.
% 52.45/52.82 parent0[0]: (2061) {G6,W10,D3,L2,V0,M2} { ! distinct_points( skol1, skol2
% 52.45/52.82 ), distinct_lines( line_connecting( skol3, skol1 ), line_connecting(
% 52.45/52.82 skol2, skol1 ) ) }.
% 52.45/52.82 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 52.45/52.82 }.
% 52.45/52.82 substitution0:
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (1809) {G8,W7,D3,L1,V0,M1} R(1638,1697);r(14) { distinct_lines
% 52.45/52.82 ( line_connecting( skol3, skol1 ), line_connecting( skol2, skol1 ) ) }.
% 52.45/52.82 parent0: (2062) {G1,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 52.45/52.82 skol3, skol1 ), line_connecting( skol2, skol1 ) ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 0
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (2063) {G5,W9,D2,L3,V0,M3} { ! distinct_points( skol2, skol1 )
% 52.45/52.82 , ! distinct_points( skol3, skol1 ), distinct_points( skol3, skol2 ) }.
% 52.45/52.82 parent0[3]: (1528) {G4,W16,D3,L4,V3,M1} R(1300,781);f { ! distinct_points(
% 52.45/52.82 X, Y ), ! distinct_points( Z, Y ), distinct_points( Z, X ), !
% 52.45/52.82 distinct_lines( line_connecting( Z, Y ), line_connecting( X, Y ) ) }.
% 52.45/52.82 parent1[0]: (1809) {G8,W7,D3,L1,V0,M1} R(1638,1697);r(14) { distinct_lines
% 52.45/52.82 ( line_connecting( skol3, skol1 ), line_connecting( skol2, skol1 ) ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 X := skol2
% 52.45/52.82 Y := skol1
% 52.45/52.82 Z := skol3
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (2064) {G5,W9,D2,L3,V0,M3} { ! distinct_points( skol3, skol1 )
% 52.45/52.82 , distinct_points( skol3, skol2 ), ! distinct_points( skol3, skol1 ) }.
% 52.45/52.82 parent0[0]: (2063) {G5,W9,D2,L3,V0,M3} { ! distinct_points( skol2, skol1 )
% 52.45/52.82 , ! distinct_points( skol3, skol1 ), distinct_points( skol3, skol2 ) }.
% 52.45/52.82 parent1[0]: (29) {G4,W6,D2,L2,V1,M1} R(27,22) { distinct_points( skol2, X )
% 52.45/52.82 , ! distinct_points( skol3, X ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := skol1
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 factor: (2065) {G5,W6,D2,L2,V0,M2} { ! distinct_points( skol3, skol1 ),
% 52.45/52.82 distinct_points( skol3, skol2 ) }.
% 52.45/52.82 parent0[0, 2]: (2064) {G5,W9,D2,L3,V0,M3} { ! distinct_points( skol3,
% 52.45/52.82 skol1 ), distinct_points( skol3, skol2 ), ! distinct_points( skol3, skol1
% 52.45/52.82 ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (1810) {G9,W6,D2,L2,V0,M1} R(1809,1528);r(29) { !
% 52.45/52.82 distinct_points( skol3, skol1 ), distinct_points( skol3, skol2 ) }.
% 52.45/52.82 parent0: (2065) {G5,W6,D2,L2,V0,M2} { ! distinct_points( skol3, skol1 ),
% 52.45/52.82 distinct_points( skol3, skol2 ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 0 ==> 0
% 52.45/52.82 1 ==> 1
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (2066) {G9,W6,D2,L2,V0,M2} { distinct_points( skol3, skol2 ),
% 52.45/52.82 distinct_points( skol3, skol2 ) }.
% 52.45/52.82 parent0[0]: (1810) {G9,W6,D2,L2,V0,M1} R(1809,1528);r(29) { !
% 52.45/52.82 distinct_points( skol3, skol1 ), distinct_points( skol3, skol2 ) }.
% 52.45/52.82 parent1[0]: (58) {G8,W6,D2,L2,V1,M1} R(56,28) { distinct_points( X, skol1 )
% 52.45/52.82 , distinct_points( X, skol2 ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 X := skol3
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 factor: (2067) {G9,W3,D2,L1,V0,M1} { distinct_points( skol3, skol2 ) }.
% 52.45/52.82 parent0[0, 1]: (2066) {G9,W6,D2,L2,V0,M2} { distinct_points( skol3, skol2
% 52.45/52.82 ), distinct_points( skol3, skol2 ) }.
% 52.45/52.82 substitution0:
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 resolution: (2068) {G3,W0,D0,L0,V0,M0} { }.
% 52.45/52.82 parent0[0]: (26) {G2,W3,D2,L1,V0,M1} R(22,15) { ! distinct_points( skol3,
% 52.45/52.82 skol2 ) }.
% 52.45/52.82 parent1[0]: (2067) {G9,W3,D2,L1,V0,M1} { distinct_points( skol3, skol2 )
% 52.45/52.82 }.
% 52.45/52.82 substitution0:
% 52.45/52.82 end
% 52.45/52.82 substitution1:
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 subsumption: (1840) {G10,W0,D0,L0,V0,M0} S(1810);r(58);r(26) { }.
% 52.45/52.82 parent0: (2068) {G3,W0,D0,L0,V0,M0} { }.
% 52.45/52.82 substitution0:
% 52.45/52.82 end
% 52.45/52.82 permutation0:
% 52.45/52.82 end
% 52.45/52.82
% 52.45/52.82 Proof check complete!
% 52.45/52.82
% 52.45/52.82 Memory use:
% 52.45/52.82
% 52.45/52.82 space for terms: 30979
% 52.45/52.82 space for clauses: 65892
% 52.45/52.82
% 52.45/52.82
% 52.45/52.82 clauses generated: 2855803
% 52.45/52.82 clauses kept: 1841
% 52.45/52.82 clauses selected: 1559
% 52.45/52.82 clauses deleted: 3
% 52.45/52.82 clauses inuse deleted: 0
% 52.45/52.82
% 52.45/52.82 subsentry: 10540718
% 52.45/52.82 literals s-matched: 9382426
% 52.45/52.82 literals matched: 9382318
% 52.45/52.82 full subsumption: 9066579
% 52.45/52.82
% 52.45/52.82 checksum: -14837666
% 52.45/52.82
% 52.45/52.82
% 52.45/52.82 Bliksem ended
%------------------------------------------------------------------------------