TSTP Solution File: GEO188+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO188+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 02:52:27 EDT 2022
% Result : Theorem 1.45s 1.80s
% Output : Refutation 1.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GEO188+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.11 % Command : bliksem %s
% 0.10/0.32 % Computer : n029.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % DateTime : Sat Jun 18 11:01:29 EDT 2022
% 0.10/0.32 % CPUTime :
% 1.45/1.80 *** allocated 10000 integers for termspace/termends
% 1.45/1.80 *** allocated 10000 integers for clauses
% 1.45/1.80 *** allocated 10000 integers for justifications
% 1.45/1.80 Bliksem 1.12
% 1.45/1.80
% 1.45/1.80
% 1.45/1.80 Automatic Strategy Selection
% 1.45/1.80
% 1.45/1.80
% 1.45/1.80 Clauses:
% 1.45/1.80
% 1.45/1.80 { ! distinct_points( X, X ) }.
% 1.45/1.80 { ! distinct_lines( X, X ) }.
% 1.45/1.80 { ! convergent_lines( X, X ) }.
% 1.45/1.80 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 1.45/1.80 ) }.
% 1.45/1.80 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 1.45/1.80 }.
% 1.45/1.80 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 1.45/1.80 , Z ) }.
% 1.45/1.80 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 1.45/1.80 , Y ) ) }.
% 1.45/1.80 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 1.45/1.80 , Y ) ) }.
% 1.45/1.80 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 1.45/1.80 , Y ), X ) }.
% 1.45/1.80 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 1.45/1.80 , Y ), Y ) }.
% 1.45/1.80 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 1.45/1.80 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.45/1.80 apart_point_and_line( Y, T ) }.
% 1.45/1.80 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 1.45/1.80 apart_point_and_line( Z, Y ) }.
% 1.45/1.80 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 1.45/1.80 apart_point_and_line( X, Z ) }.
% 1.45/1.80 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 1.45/1.80 Z ) }.
% 1.45/1.80 { distinct_points( skol1, skol2 ) }.
% 1.45/1.80 { distinct_points( skol1, skol3 ) }.
% 1.45/1.80 { distinct_points( skol2, skol3 ) }.
% 1.45/1.80 { ! apart_point_and_line( skol3, line_connecting( skol1, skol2 ) ) }.
% 1.45/1.80 { apart_point_and_line( skol1, line_connecting( skol3, skol2 ) ) }.
% 1.45/1.80
% 1.45/1.80 percentage equality = 0.000000, percentage horn = 0.631579
% 1.45/1.80 This a non-horn, non-equality problem
% 1.45/1.80
% 1.45/1.80
% 1.45/1.80 Options Used:
% 1.45/1.80
% 1.45/1.80 useres = 1
% 1.45/1.80 useparamod = 0
% 1.45/1.80 useeqrefl = 0
% 1.45/1.80 useeqfact = 0
% 1.45/1.80 usefactor = 1
% 1.45/1.80 usesimpsplitting = 0
% 1.45/1.80 usesimpdemod = 0
% 1.45/1.80 usesimpres = 3
% 1.45/1.80
% 1.45/1.80 resimpinuse = 1000
% 1.45/1.80 resimpclauses = 20000
% 1.45/1.80 substype = standard
% 1.45/1.80 backwardsubs = 1
% 1.45/1.80 selectoldest = 5
% 1.45/1.80
% 1.45/1.80 litorderings [0] = split
% 1.45/1.80 litorderings [1] = liftord
% 1.45/1.80
% 1.45/1.80 termordering = none
% 1.45/1.80
% 1.45/1.80 litapriori = 1
% 1.45/1.80 termapriori = 0
% 1.45/1.80 litaposteriori = 0
% 1.45/1.80 termaposteriori = 0
% 1.45/1.80 demodaposteriori = 0
% 1.45/1.80 ordereqreflfact = 0
% 1.45/1.80
% 1.45/1.80 litselect = none
% 1.45/1.80
% 1.45/1.80 maxweight = 15
% 1.45/1.80 maxdepth = 30000
% 1.45/1.80 maxlength = 115
% 1.45/1.80 maxnrvars = 195
% 1.45/1.80 excuselevel = 1
% 1.45/1.80 increasemaxweight = 1
% 1.45/1.80
% 1.45/1.80 maxselected = 10000000
% 1.45/1.80 maxnrclauses = 10000000
% 1.45/1.80
% 1.45/1.80 showgenerated = 0
% 1.45/1.80 showkept = 0
% 1.45/1.80 showselected = 0
% 1.45/1.80 showdeleted = 0
% 1.45/1.80 showresimp = 1
% 1.45/1.80 showstatus = 2000
% 1.45/1.80
% 1.45/1.80 prologoutput = 0
% 1.45/1.80 nrgoals = 5000000
% 1.45/1.80 totalproof = 1
% 1.45/1.80
% 1.45/1.80 Symbols occurring in the translation:
% 1.45/1.80
% 1.45/1.80 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.45/1.80 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 1.45/1.80 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 1.45/1.80 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.45/1.80 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.45/1.80 distinct_points [36, 2] (w:1, o:44, a:1, s:1, b:0),
% 1.45/1.80 distinct_lines [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 1.45/1.80 convergent_lines [38, 2] (w:1, o:43, a:1, s:1, b:0),
% 1.45/1.80 line_connecting [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 1.45/1.80 apart_point_and_line [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 1.45/1.80 intersection_point [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 1.45/1.80 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.45/1.80 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.45/1.80 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0).
% 1.45/1.80
% 1.45/1.80
% 1.45/1.80 Starting Search:
% 1.45/1.80
% 1.45/1.80 *** allocated 15000 integers for clauses
% 1.45/1.80 *** allocated 22500 integers for clauses
% 1.45/1.80 *** allocated 33750 integers for clauses
% 1.45/1.80 *** allocated 15000 integers for termspace/termends
% 1.45/1.80 *** allocated 50625 integers for clauses
% 1.45/1.80 Resimplifying inuse:
% 1.45/1.80 Done
% 1.45/1.80
% 1.45/1.80 *** allocated 22500 integers for termspace/termends
% 1.45/1.80
% 1.45/1.80 Bliksems!, er is een bewijs:
% 1.45/1.80 % SZS status Theorem
% 1.45/1.80 % SZS output start Refutation
% 1.45/1.80
% 1.45/1.80 (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.45/1.80 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 1.45/1.80 (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 1.45/1.80 ), ! distinct_points( X, Y ) }.
% 1.45/1.80 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 1.45/1.80 , ! distinct_lines( X, Y ) }.
% 1.45/1.80 (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.45/1.80 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.45/1.80 (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.45/1.80 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.45/1.80 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 1.45/1.80 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.45/1.80 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 1.45/1.80 (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ), apart_point_and_line(
% 1.45/1.80 X, Z ), ! apart_point_and_line( X, Y ) }.
% 1.45/1.80 (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 ) }.
% 1.45/1.80 (16) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol2, skol3 ) }.
% 1.45/1.80 (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol3, line_connecting
% 1.45/1.80 ( skol1, skol2 ) ) }.
% 1.45/1.80 (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol1, line_connecting(
% 1.45/1.80 skol3, skol2 ) ) }.
% 1.45/1.80 (23) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 1.45/1.80 distinct_points( X, Y ) }.
% 1.45/1.80 (29) {G2,W3,D2,L1,V0,M1} R(23,16) { distinct_points( skol3, skol2 ) }.
% 1.45/1.80 (32) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 1.45/1.80 ( X, Y ) }.
% 1.45/1.80 (33) {G2,W9,D2,L3,V3,M3} R(32,4) { distinct_lines( Z, X ), ! distinct_lines
% 1.45/1.80 ( Y, Z ), distinct_lines( X, Y ) }.
% 1.45/1.80 (34) {G2,W9,D2,L3,V3,M3} R(32,4) { distinct_lines( Z, X ), ! distinct_lines
% 1.45/1.80 ( Z, Y ), distinct_lines( X, Y ) }.
% 1.45/1.80 (76) {G1,W22,D3,L6,V4,M3} R(10,7) { ! distinct_points( X, Y ), !
% 1.45/1.80 distinct_lines( Z, line_connecting( T, X ) ), ! distinct_points( T, X ),
% 1.45/1.80 apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ),
% 1.45/1.80 apart_point_and_line( Y, line_connecting( T, X ) ) }.
% 1.45/1.80 (77) {G1,W22,D3,L6,V4,M3} R(10,7) { ! distinct_points( X, Y ), !
% 1.45/1.80 distinct_lines( line_connecting( Z, Y ), T ), ! distinct_points( Z, Y ),
% 1.45/1.80 apart_point_and_line( X, line_connecting( Z, Y ) ), apart_point_and_line
% 1.45/1.80 ( X, T ), apart_point_and_line( Y, T ) }.
% 1.45/1.80 (91) {G3,W9,D2,L3,V3,M3} R(33,32) { distinct_lines( Z, X ), distinct_lines
% 1.45/1.80 ( Z, Y ), ! distinct_lines( X, Y ) }.
% 1.45/1.80 (144) {G1,W8,D3,L2,V1,M1} R(12,18) { distinct_lines( line_connecting( skol3
% 1.45/1.80 , skol2 ), X ), apart_point_and_line( skol1, X ) }.
% 1.45/1.80 (148) {G2,W10,D3,L2,V1,M1} R(144,6) { ! distinct_points( skol1, X ),
% 1.45/1.80 distinct_lines( line_connecting( skol3, skol2 ), line_connecting( skol1,
% 1.45/1.80 X ) ) }.
% 1.45/1.80 (306) {G4,W13,D3,L3,V2,M2} R(148,91) { ! distinct_points( skol1, X ),
% 1.45/1.80 distinct_lines( Y, line_connecting( skol1, X ) ), distinct_lines( Y,
% 1.45/1.80 line_connecting( skol3, skol2 ) ) }.
% 1.45/1.80 (548) {G2,W14,D3,L4,V1,M1} R(76,17);r(16) { ! distinct_points( skol1, skol2
% 1.45/1.80 ), ! distinct_lines( X, line_connecting( skol1, skol2 ) ),
% 1.45/1.80 apart_point_and_line( skol2, X ), apart_point_and_line( skol3, X ) }.
% 1.45/1.80 (559) {G3,W14,D3,L4,V1,M1} R(77,17);r(29) { ! distinct_points( skol1, skol2
% 1.45/1.80 ), ! distinct_lines( line_connecting( skol1, skol2 ), X ),
% 1.45/1.80 apart_point_and_line( skol2, X ), apart_point_and_line( skol3, X ) }.
% 1.45/1.80 (597) {G4,W11,D3,L3,V1,M1} S(559);r(14) { ! distinct_lines( line_connecting
% 1.45/1.80 ( skol1, skol2 ), X ), apart_point_and_line( skol2, X ),
% 1.45/1.80 apart_point_and_line( skol3, X ) }.
% 1.45/1.80 (603) {G5,W15,D3,L3,V1,M1} R(597,6) { ! distinct_lines( line_connecting(
% 1.45/1.80 skol1, skol2 ), line_connecting( skol3, X ) ), ! distinct_points( skol3,
% 1.45/1.80 X ), apart_point_and_line( skol2, line_connecting( skol3, X ) ) }.
% 1.45/1.80 (604) {G3,W11,D3,L3,V1,M1} S(548);r(14) { ! distinct_lines( X,
% 1.45/1.80 line_connecting( skol1, skol2 ) ), apart_point_and_line( skol2, X ),
% 1.45/1.80 apart_point_and_line( skol3, X ) }.
% 1.45/1.80 (609) {G4,W15,D3,L3,V1,M1} R(604,7) { ! distinct_lines( line_connecting( X
% 1.45/1.80 , skol3 ), line_connecting( skol1, skol2 ) ), ! distinct_points( X, skol3
% 1.45/1.80 ), apart_point_and_line( skol2, line_connecting( X, skol3 ) ) }.
% 1.45/1.80 (613) {G5,W7,D3,L1,V0,M1} R(609,6);f;r(16) { ! distinct_lines(
% 1.45/1.80 line_connecting( skol2, skol3 ), line_connecting( skol1, skol2 ) ) }.
% 1.45/1.80 (614) {G6,W7,D3,L1,V0,M1} R(613,306);r(14) { distinct_lines(
% 1.45/1.80 line_connecting( skol2, skol3 ), line_connecting( skol3, skol2 ) ) }.
% 1.45/1.80 (667) {G7,W10,D3,L2,V1,M2} R(614,34) { distinct_lines( X, line_connecting(
% 1.45/1.80 skol3, skol2 ) ), distinct_lines( line_connecting( skol2, skol3 ), X )
% 1.45/1.80 }.
% 1.45/1.80 (671) {G8,W7,D3,L1,V0,M1} R(667,613) { distinct_lines( line_connecting(
% 1.45/1.80 skol1, skol2 ), line_connecting( skol3, skol2 ) ) }.
% 1.45/1.80 (1111) {G9,W3,D2,L1,V0,M1} R(603,7);f;r(671) { ! distinct_points( skol3,
% 1.45/1.80 skol2 ) }.
% 1.45/1.80 (1112) {G10,W0,D0,L0,V0,M0} S(1111);r(29) { }.
% 1.45/1.80
% 1.45/1.80
% 1.45/1.80 % SZS output end Refutation
% 1.45/1.80 found a proof!
% 1.45/1.80
% 1.45/1.80
% 1.45/1.80 Unprocessed initial clauses:
% 1.45/1.80
% 1.45/1.80 (1114) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 1.45/1.80 (1115) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 1.45/1.80 (1116) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 1.45/1.80 (1117) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 1.45/1.80 , Z ), distinct_points( Y, Z ) }.
% 1.45/1.80 (1118) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 1.45/1.80 Z ), distinct_lines( Y, Z ) }.
% 1.45/1.80 (1119) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 1.45/1.80 ( X, Z ), convergent_lines( Y, Z ) }.
% 1.45/1.80 (1120) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.45/1.80 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.45/1.80 (1121) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.45/1.80 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.45/1.80 (1122) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 1.45/1.80 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 1.45/1.80 (1123) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 1.45/1.80 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 1.45/1.80 (1124) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 1.45/1.80 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 1.45/1.80 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 1.45/1.80 (1125) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.45/1.80 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 1.45/1.80 (1126) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.45/1.80 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 1.45/1.80 (1127) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines( Y
% 1.45/1.80 , Z ), convergent_lines( X, Z ) }.
% 1.45/1.80 (1128) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 1.45/1.80 (1129) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol3 ) }.
% 1.45/1.80 (1130) {G0,W3,D2,L1,V0,M1} { distinct_points( skol2, skol3 ) }.
% 1.45/1.80 (1131) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( skol3,
% 1.45/1.80 line_connecting( skol1, skol2 ) ) }.
% 1.45/1.80 (1132) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( skol1, line_connecting
% 1.45/1.80 ( skol3, skol2 ) ) }.
% 1.45/1.80
% 1.45/1.80
% 1.45/1.80 Total Proof:
% 1.45/1.80
% 1.45/1.80 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.45/1.80 parent0: (1114) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 0
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 1.45/1.80 parent0: (1115) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 0
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 1.45/1.80 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 1.45/1.80 parent0: (1117) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ),
% 1.45/1.80 distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 Y := Y
% 1.45/1.80 Z := Z
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 2
% 1.45/1.80 1 ==> 0
% 1.45/1.80 2 ==> 1
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 1.45/1.80 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 1.45/1.80 parent0: (1118) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 1.45/1.80 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 Y := Y
% 1.45/1.80 Z := Z
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 2
% 1.45/1.80 1 ==> 0
% 1.45/1.80 2 ==> 1
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.45/1.80 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.45/1.80 parent0: (1120) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.45/1.80 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 Y := Y
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 0
% 1.45/1.80 1 ==> 1
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.45/1.80 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.45/1.80 parent0: (1121) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.45/1.80 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 Y := Y
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 0
% 1.45/1.80 1 ==> 1
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 1.45/1.80 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 1.45/1.80 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 1.45/1.80 apart_point_and_line( X, Z ) }.
% 1.45/1.80 parent0: (1124) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 1.45/1.80 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 1.45/1.80 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.45/1.80 apart_point_and_line( Y, T ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 Y := Y
% 1.45/1.80 Z := Z
% 1.45/1.80 T := T
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 0
% 1.45/1.80 1 ==> 1
% 1.45/1.80 2 ==> 5
% 1.45/1.80 3 ==> 2
% 1.45/1.80 4 ==> 3
% 1.45/1.80 5 ==> 4
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 1.45/1.80 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 1.45/1.80 parent0: (1126) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.45/1.80 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 Y := Y
% 1.45/1.80 Z := Z
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 2
% 1.45/1.80 1 ==> 0
% 1.45/1.80 2 ==> 1
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.45/1.80 }.
% 1.45/1.80 parent0: (1128) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 0
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (16) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol2, skol3 )
% 1.45/1.80 }.
% 1.45/1.80 parent0: (1130) {G0,W3,D2,L1,V0,M1} { distinct_points( skol2, skol3 ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 0
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol3,
% 1.45/1.80 line_connecting( skol1, skol2 ) ) }.
% 1.45/1.80 parent0: (1131) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( skol3,
% 1.45/1.80 line_connecting( skol1, skol2 ) ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 0
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol1,
% 1.45/1.80 line_connecting( skol3, skol2 ) ) }.
% 1.45/1.80 parent0: (1132) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( skol1,
% 1.45/1.80 line_connecting( skol3, skol2 ) ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 0
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1196) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 1.45/1.80 distinct_points( X, Y ) }.
% 1.45/1.80 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.45/1.80 parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 1.45/1.80 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 X := X
% 1.45/1.80 Y := Y
% 1.45/1.80 Z := X
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (23) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 1.45/1.80 distinct_points( X, Y ) }.
% 1.45/1.80 parent0: (1196) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 1.45/1.80 distinct_points( X, Y ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := Y
% 1.45/1.80 Y := X
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 1
% 1.45/1.80 1 ==> 0
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1198) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol2 )
% 1.45/1.80 }.
% 1.45/1.80 parent0[0]: (23) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 1.45/1.80 distinct_points( X, Y ) }.
% 1.45/1.80 parent1[0]: (16) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol2, skol3 )
% 1.45/1.80 }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := skol3
% 1.45/1.80 Y := skol2
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (29) {G2,W3,D2,L1,V0,M1} R(23,16) { distinct_points( skol3,
% 1.45/1.80 skol2 ) }.
% 1.45/1.80 parent0: (1198) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol2 ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 0
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1199) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 1.45/1.80 distinct_lines( X, Y ) }.
% 1.45/1.80 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 1.45/1.80 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 1.45/1.80 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 X := X
% 1.45/1.80 Y := Y
% 1.45/1.80 Z := X
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (32) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 1.45/1.80 distinct_lines( X, Y ) }.
% 1.45/1.80 parent0: (1199) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 1.45/1.80 distinct_lines( X, Y ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := Y
% 1.45/1.80 Y := X
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 1
% 1.45/1.80 1 ==> 0
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1201) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ),
% 1.45/1.80 distinct_lines( Z, Y ), ! distinct_lines( X, Z ) }.
% 1.45/1.80 parent0[0]: (32) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 1.45/1.80 distinct_lines( X, Y ) }.
% 1.45/1.80 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 1.45/1.80 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := Y
% 1.45/1.80 Y := X
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 X := X
% 1.45/1.80 Y := Z
% 1.45/1.80 Z := Y
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (33) {G2,W9,D2,L3,V3,M3} R(32,4) { distinct_lines( Z, X ), !
% 1.45/1.80 distinct_lines( Y, Z ), distinct_lines( X, Y ) }.
% 1.45/1.80 parent0: (1201) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ),
% 1.45/1.80 distinct_lines( Z, Y ), ! distinct_lines( X, Z ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := Y
% 1.45/1.80 Y := X
% 1.45/1.80 Z := Z
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 2
% 1.45/1.80 1 ==> 0
% 1.45/1.80 2 ==> 1
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1205) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ),
% 1.45/1.80 distinct_lines( Z, Y ), ! distinct_lines( Z, X ) }.
% 1.45/1.80 parent0[0]: (32) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 1.45/1.80 distinct_lines( X, Y ) }.
% 1.45/1.80 parent1[1]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 1.45/1.80 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := Y
% 1.45/1.80 Y := X
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 X := Z
% 1.45/1.80 Y := X
% 1.45/1.80 Z := Y
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (34) {G2,W9,D2,L3,V3,M3} R(32,4) { distinct_lines( Z, X ), !
% 1.45/1.80 distinct_lines( Z, Y ), distinct_lines( X, Y ) }.
% 1.45/1.80 parent0: (1205) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ),
% 1.45/1.80 distinct_lines( Z, Y ), ! distinct_lines( Z, X ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := Y
% 1.45/1.80 Y := X
% 1.45/1.80 Z := Z
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 2
% 1.45/1.80 1 ==> 0
% 1.45/1.80 2 ==> 1
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1207) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 1.45/1.80 distinct_points( Y, Z ), ! distinct_lines( T, line_connecting( X, Y ) ),
% 1.45/1.80 apart_point_and_line( Z, T ), apart_point_and_line( Z, line_connecting( X
% 1.45/1.80 , Y ) ), apart_point_and_line( Y, T ) }.
% 1.45/1.80 parent0[1]: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.45/1.80 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.45/1.80 parent1[2]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 1.45/1.80 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 1.45/1.80 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 1.45/1.80 apart_point_and_line( X, Z ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 Y := Y
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 X := Y
% 1.45/1.80 Y := Z
% 1.45/1.80 Z := T
% 1.45/1.80 T := line_connecting( X, Y )
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (76) {G1,W22,D3,L6,V4,M3} R(10,7) { ! distinct_points( X, Y )
% 1.45/1.80 , ! distinct_lines( Z, line_connecting( T, X ) ), ! distinct_points( T, X
% 1.45/1.80 ), apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ),
% 1.45/1.80 apart_point_and_line( Y, line_connecting( T, X ) ) }.
% 1.45/1.80 parent0: (1207) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 1.45/1.80 distinct_points( Y, Z ), ! distinct_lines( T, line_connecting( X, Y ) ),
% 1.45/1.80 apart_point_and_line( Z, T ), apart_point_and_line( Z, line_connecting( X
% 1.45/1.80 , Y ) ), apart_point_and_line( Y, T ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := T
% 1.45/1.80 Y := X
% 1.45/1.80 Z := Y
% 1.45/1.80 T := Z
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 2
% 1.45/1.80 1 ==> 0
% 1.45/1.80 2 ==> 1
% 1.45/1.80 3 ==> 4
% 1.45/1.80 4 ==> 5
% 1.45/1.80 5 ==> 3
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1224) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 1.45/1.80 distinct_points( Z, Y ), ! distinct_lines( line_connecting( X, Y ), T ),
% 1.45/1.80 apart_point_and_line( Z, T ), apart_point_and_line( Y, T ),
% 1.45/1.80 apart_point_and_line( Z, line_connecting( X, Y ) ) }.
% 1.45/1.80 parent0[1]: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.45/1.80 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.45/1.80 parent1[3]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 1.45/1.80 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 1.45/1.80 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 1.45/1.80 apart_point_and_line( X, Z ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 Y := Y
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 X := Z
% 1.45/1.80 Y := Y
% 1.45/1.80 Z := line_connecting( X, Y )
% 1.45/1.80 T := T
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (77) {G1,W22,D3,L6,V4,M3} R(10,7) { ! distinct_points( X, Y )
% 1.45/1.80 , ! distinct_lines( line_connecting( Z, Y ), T ), ! distinct_points( Z, Y
% 1.45/1.80 ), apart_point_and_line( X, line_connecting( Z, Y ) ),
% 1.45/1.80 apart_point_and_line( X, T ), apart_point_and_line( Y, T ) }.
% 1.45/1.80 parent0: (1224) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 1.45/1.80 distinct_points( Z, Y ), ! distinct_lines( line_connecting( X, Y ), T ),
% 1.45/1.80 apart_point_and_line( Z, T ), apart_point_and_line( Y, T ),
% 1.45/1.80 apart_point_and_line( Z, line_connecting( X, Y ) ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := Z
% 1.45/1.80 Y := Y
% 1.45/1.80 Z := X
% 1.45/1.80 T := T
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 2
% 1.45/1.80 1 ==> 0
% 1.45/1.80 2 ==> 1
% 1.45/1.80 3 ==> 4
% 1.45/1.80 4 ==> 5
% 1.45/1.80 5 ==> 3
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1241) {G2,W9,D2,L3,V3,M3} { distinct_lines( Y, X ), !
% 1.45/1.80 distinct_lines( Z, X ), distinct_lines( Y, Z ) }.
% 1.45/1.80 parent0[0]: (32) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 1.45/1.80 distinct_lines( X, Y ) }.
% 1.45/1.80 parent1[0]: (33) {G2,W9,D2,L3,V3,M3} R(32,4) { distinct_lines( Z, X ), !
% 1.45/1.80 distinct_lines( Y, Z ), distinct_lines( X, Y ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := Y
% 1.45/1.80 Y := X
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 X := Y
% 1.45/1.80 Y := Z
% 1.45/1.80 Z := X
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (91) {G3,W9,D2,L3,V3,M3} R(33,32) { distinct_lines( Z, X ),
% 1.45/1.80 distinct_lines( Z, Y ), ! distinct_lines( X, Y ) }.
% 1.45/1.80 parent0: (1241) {G2,W9,D2,L3,V3,M3} { distinct_lines( Y, X ), !
% 1.45/1.80 distinct_lines( Z, X ), distinct_lines( Y, Z ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := Y
% 1.45/1.80 Y := Z
% 1.45/1.80 Z := X
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 1
% 1.45/1.80 1 ==> 2
% 1.45/1.80 2 ==> 0
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1245) {G1,W8,D3,L2,V1,M2} { distinct_lines( line_connecting(
% 1.45/1.80 skol3, skol2 ), X ), apart_point_and_line( skol1, X ) }.
% 1.45/1.80 parent0[2]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 1.45/1.80 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 1.45/1.80 parent1[0]: (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol1,
% 1.45/1.80 line_connecting( skol3, skol2 ) ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := skol1
% 1.45/1.80 Y := line_connecting( skol3, skol2 )
% 1.45/1.80 Z := X
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (144) {G1,W8,D3,L2,V1,M1} R(12,18) { distinct_lines(
% 1.45/1.80 line_connecting( skol3, skol2 ), X ), apart_point_and_line( skol1, X )
% 1.45/1.80 }.
% 1.45/1.80 parent0: (1245) {G1,W8,D3,L2,V1,M2} { distinct_lines( line_connecting(
% 1.45/1.80 skol3, skol2 ), X ), apart_point_and_line( skol1, X ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 0
% 1.45/1.80 1 ==> 1
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1246) {G1,W10,D3,L2,V1,M2} { ! distinct_points( skol1, X ),
% 1.45/1.80 distinct_lines( line_connecting( skol3, skol2 ), line_connecting( skol1,
% 1.45/1.80 X ) ) }.
% 1.45/1.80 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.45/1.80 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.45/1.80 parent1[1]: (144) {G1,W8,D3,L2,V1,M1} R(12,18) { distinct_lines(
% 1.45/1.80 line_connecting( skol3, skol2 ), X ), apart_point_and_line( skol1, X )
% 1.45/1.80 }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := skol1
% 1.45/1.80 Y := X
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 X := line_connecting( skol1, X )
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (148) {G2,W10,D3,L2,V1,M1} R(144,6) { ! distinct_points( skol1
% 1.45/1.80 , X ), distinct_lines( line_connecting( skol3, skol2 ), line_connecting(
% 1.45/1.80 skol1, X ) ) }.
% 1.45/1.80 parent0: (1246) {G1,W10,D3,L2,V1,M2} { ! distinct_points( skol1, X ),
% 1.45/1.80 distinct_lines( line_connecting( skol3, skol2 ), line_connecting( skol1,
% 1.45/1.80 X ) ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 0
% 1.45/1.80 1 ==> 1
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1247) {G3,W13,D3,L3,V2,M3} { distinct_lines( X,
% 1.45/1.80 line_connecting( skol3, skol2 ) ), distinct_lines( X, line_connecting(
% 1.45/1.80 skol1, Y ) ), ! distinct_points( skol1, Y ) }.
% 1.45/1.80 parent0[2]: (91) {G3,W9,D2,L3,V3,M3} R(33,32) { distinct_lines( Z, X ),
% 1.45/1.80 distinct_lines( Z, Y ), ! distinct_lines( X, Y ) }.
% 1.45/1.80 parent1[1]: (148) {G2,W10,D3,L2,V1,M1} R(144,6) { ! distinct_points( skol1
% 1.45/1.80 , X ), distinct_lines( line_connecting( skol3, skol2 ), line_connecting(
% 1.45/1.80 skol1, X ) ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := line_connecting( skol3, skol2 )
% 1.45/1.80 Y := line_connecting( skol1, Y )
% 1.45/1.80 Z := X
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 X := Y
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (306) {G4,W13,D3,L3,V2,M2} R(148,91) { ! distinct_points(
% 1.45/1.80 skol1, X ), distinct_lines( Y, line_connecting( skol1, X ) ),
% 1.45/1.80 distinct_lines( Y, line_connecting( skol3, skol2 ) ) }.
% 1.45/1.80 parent0: (1247) {G3,W13,D3,L3,V2,M3} { distinct_lines( X, line_connecting
% 1.45/1.80 ( skol3, skol2 ) ), distinct_lines( X, line_connecting( skol1, Y ) ), !
% 1.45/1.80 distinct_points( skol1, Y ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := Y
% 1.45/1.80 Y := X
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 2
% 1.45/1.80 1 ==> 1
% 1.45/1.80 2 ==> 0
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1250) {G1,W17,D3,L5,V1,M5} { ! distinct_points( skol2, skol3
% 1.45/1.80 ), ! distinct_lines( X, line_connecting( skol1, skol2 ) ), !
% 1.45/1.80 distinct_points( skol1, skol2 ), apart_point_and_line( skol2, X ),
% 1.45/1.80 apart_point_and_line( skol3, X ) }.
% 1.45/1.80 parent0[0]: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol3,
% 1.45/1.80 line_connecting( skol1, skol2 ) ) }.
% 1.45/1.80 parent1[5]: (76) {G1,W22,D3,L6,V4,M3} R(10,7) { ! distinct_points( X, Y ),
% 1.45/1.80 ! distinct_lines( Z, line_connecting( T, X ) ), ! distinct_points( T, X )
% 1.45/1.80 , apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ),
% 1.45/1.80 apart_point_and_line( Y, line_connecting( T, X ) ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 X := skol2
% 1.45/1.80 Y := skol3
% 1.45/1.80 Z := X
% 1.45/1.80 T := skol1
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1252) {G1,W14,D3,L4,V1,M4} { ! distinct_lines( X,
% 1.45/1.80 line_connecting( skol1, skol2 ) ), ! distinct_points( skol1, skol2 ),
% 1.45/1.80 apart_point_and_line( skol2, X ), apart_point_and_line( skol3, X ) }.
% 1.45/1.80 parent0[0]: (1250) {G1,W17,D3,L5,V1,M5} { ! distinct_points( skol2, skol3
% 1.45/1.80 ), ! distinct_lines( X, line_connecting( skol1, skol2 ) ), !
% 1.45/1.80 distinct_points( skol1, skol2 ), apart_point_and_line( skol2, X ),
% 1.45/1.80 apart_point_and_line( skol3, X ) }.
% 1.45/1.80 parent1[0]: (16) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol2, skol3 )
% 1.45/1.80 }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (548) {G2,W14,D3,L4,V1,M1} R(76,17);r(16) { ! distinct_points
% 1.45/1.80 ( skol1, skol2 ), ! distinct_lines( X, line_connecting( skol1, skol2 ) )
% 1.45/1.80 , apart_point_and_line( skol2, X ), apart_point_and_line( skol3, X ) }.
% 1.45/1.80 parent0: (1252) {G1,W14,D3,L4,V1,M4} { ! distinct_lines( X,
% 1.45/1.80 line_connecting( skol1, skol2 ) ), ! distinct_points( skol1, skol2 ),
% 1.45/1.80 apart_point_and_line( skol2, X ), apart_point_and_line( skol3, X ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 1
% 1.45/1.80 1 ==> 0
% 1.45/1.80 2 ==> 2
% 1.45/1.80 3 ==> 3
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1253) {G1,W17,D3,L5,V1,M5} { ! distinct_points( skol3, skol2
% 1.45/1.80 ), ! distinct_lines( line_connecting( skol1, skol2 ), X ), !
% 1.45/1.80 distinct_points( skol1, skol2 ), apart_point_and_line( skol3, X ),
% 1.45/1.80 apart_point_and_line( skol2, X ) }.
% 1.45/1.80 parent0[0]: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol3,
% 1.45/1.80 line_connecting( skol1, skol2 ) ) }.
% 1.45/1.80 parent1[3]: (77) {G1,W22,D3,L6,V4,M3} R(10,7) { ! distinct_points( X, Y ),
% 1.45/1.80 ! distinct_lines( line_connecting( Z, Y ), T ), ! distinct_points( Z, Y )
% 1.45/1.80 , apart_point_and_line( X, line_connecting( Z, Y ) ),
% 1.45/1.80 apart_point_and_line( X, T ), apart_point_and_line( Y, T ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 X := skol3
% 1.45/1.80 Y := skol2
% 1.45/1.80 Z := skol1
% 1.45/1.80 T := X
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1258) {G2,W14,D3,L4,V1,M4} { ! distinct_lines(
% 1.45/1.80 line_connecting( skol1, skol2 ), X ), ! distinct_points( skol1, skol2 ),
% 1.45/1.80 apart_point_and_line( skol3, X ), apart_point_and_line( skol2, X ) }.
% 1.45/1.80 parent0[0]: (1253) {G1,W17,D3,L5,V1,M5} { ! distinct_points( skol3, skol2
% 1.45/1.80 ), ! distinct_lines( line_connecting( skol1, skol2 ), X ), !
% 1.45/1.80 distinct_points( skol1, skol2 ), apart_point_and_line( skol3, X ),
% 1.45/1.80 apart_point_and_line( skol2, X ) }.
% 1.45/1.80 parent1[0]: (29) {G2,W3,D2,L1,V0,M1} R(23,16) { distinct_points( skol3,
% 1.45/1.80 skol2 ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (559) {G3,W14,D3,L4,V1,M1} R(77,17);r(29) { ! distinct_points
% 1.45/1.80 ( skol1, skol2 ), ! distinct_lines( line_connecting( skol1, skol2 ), X )
% 1.45/1.80 , apart_point_and_line( skol2, X ), apart_point_and_line( skol3, X ) }.
% 1.45/1.80 parent0: (1258) {G2,W14,D3,L4,V1,M4} { ! distinct_lines( line_connecting(
% 1.45/1.80 skol1, skol2 ), X ), ! distinct_points( skol1, skol2 ),
% 1.45/1.80 apart_point_and_line( skol3, X ), apart_point_and_line( skol2, X ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 1
% 1.45/1.80 1 ==> 0
% 1.45/1.80 2 ==> 3
% 1.45/1.80 3 ==> 2
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1259) {G1,W11,D3,L3,V1,M3} { ! distinct_lines(
% 1.45/1.80 line_connecting( skol1, skol2 ), X ), apart_point_and_line( skol2, X ),
% 1.45/1.80 apart_point_and_line( skol3, X ) }.
% 1.45/1.80 parent0[0]: (559) {G3,W14,D3,L4,V1,M1} R(77,17);r(29) { ! distinct_points(
% 1.45/1.80 skol1, skol2 ), ! distinct_lines( line_connecting( skol1, skol2 ), X ),
% 1.45/1.80 apart_point_and_line( skol2, X ), apart_point_and_line( skol3, X ) }.
% 1.45/1.80 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.45/1.80 }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (597) {G4,W11,D3,L3,V1,M1} S(559);r(14) { ! distinct_lines(
% 1.45/1.80 line_connecting( skol1, skol2 ), X ), apart_point_and_line( skol2, X ),
% 1.45/1.80 apart_point_and_line( skol3, X ) }.
% 1.45/1.80 parent0: (1259) {G1,W11,D3,L3,V1,M3} { ! distinct_lines( line_connecting(
% 1.45/1.80 skol1, skol2 ), X ), apart_point_and_line( skol2, X ),
% 1.45/1.80 apart_point_and_line( skol3, X ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 0
% 1.45/1.80 1 ==> 1
% 1.45/1.80 2 ==> 2
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1261) {G1,W15,D3,L3,V1,M3} { ! distinct_points( skol3, X ), !
% 1.45/1.80 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol3
% 1.45/1.80 , X ) ), apart_point_and_line( skol2, line_connecting( skol3, X ) ) }.
% 1.45/1.80 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.45/1.80 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.45/1.80 parent1[2]: (597) {G4,W11,D3,L3,V1,M1} S(559);r(14) { ! distinct_lines(
% 1.45/1.80 line_connecting( skol1, skol2 ), X ), apart_point_and_line( skol2, X ),
% 1.45/1.80 apart_point_and_line( skol3, X ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := skol3
% 1.45/1.80 Y := X
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 X := line_connecting( skol3, X )
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (603) {G5,W15,D3,L3,V1,M1} R(597,6) { ! distinct_lines(
% 1.45/1.80 line_connecting( skol1, skol2 ), line_connecting( skol3, X ) ), !
% 1.45/1.80 distinct_points( skol3, X ), apart_point_and_line( skol2, line_connecting
% 1.45/1.80 ( skol3, X ) ) }.
% 1.45/1.80 parent0: (1261) {G1,W15,D3,L3,V1,M3} { ! distinct_points( skol3, X ), !
% 1.45/1.80 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol3,
% 1.45/1.80 X ) ), apart_point_and_line( skol2, line_connecting( skol3, X ) ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 1
% 1.45/1.80 1 ==> 0
% 1.45/1.80 2 ==> 2
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1262) {G1,W11,D3,L3,V1,M3} { ! distinct_lines( X,
% 1.45/1.80 line_connecting( skol1, skol2 ) ), apart_point_and_line( skol2, X ),
% 1.45/1.80 apart_point_and_line( skol3, X ) }.
% 1.45/1.80 parent0[0]: (548) {G2,W14,D3,L4,V1,M1} R(76,17);r(16) { ! distinct_points(
% 1.45/1.80 skol1, skol2 ), ! distinct_lines( X, line_connecting( skol1, skol2 ) ),
% 1.45/1.80 apart_point_and_line( skol2, X ), apart_point_and_line( skol3, X ) }.
% 1.45/1.80 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.45/1.80 }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (604) {G3,W11,D3,L3,V1,M1} S(548);r(14) { ! distinct_lines( X
% 1.45/1.80 , line_connecting( skol1, skol2 ) ), apart_point_and_line( skol2, X ),
% 1.45/1.80 apart_point_and_line( skol3, X ) }.
% 1.45/1.80 parent0: (1262) {G1,W11,D3,L3,V1,M3} { ! distinct_lines( X,
% 1.45/1.80 line_connecting( skol1, skol2 ) ), apart_point_and_line( skol2, X ),
% 1.45/1.80 apart_point_and_line( skol3, X ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 0
% 1.45/1.80 1 ==> 1
% 1.45/1.80 2 ==> 2
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1264) {G1,W15,D3,L3,V1,M3} { ! distinct_points( X, skol3 ), !
% 1.45/1.80 distinct_lines( line_connecting( X, skol3 ), line_connecting( skol1,
% 1.45/1.80 skol2 ) ), apart_point_and_line( skol2, line_connecting( X, skol3 ) ) }.
% 1.45/1.80 parent0[1]: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.45/1.80 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.45/1.80 parent1[2]: (604) {G3,W11,D3,L3,V1,M1} S(548);r(14) { ! distinct_lines( X,
% 1.45/1.80 line_connecting( skol1, skol2 ) ), apart_point_and_line( skol2, X ),
% 1.45/1.80 apart_point_and_line( skol3, X ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 Y := skol3
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 X := line_connecting( X, skol3 )
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (609) {G4,W15,D3,L3,V1,M1} R(604,7) { ! distinct_lines(
% 1.45/1.80 line_connecting( X, skol3 ), line_connecting( skol1, skol2 ) ), !
% 1.45/1.80 distinct_points( X, skol3 ), apart_point_and_line( skol2, line_connecting
% 1.45/1.80 ( X, skol3 ) ) }.
% 1.45/1.80 parent0: (1264) {G1,W15,D3,L3,V1,M3} { ! distinct_points( X, skol3 ), !
% 1.45/1.80 distinct_lines( line_connecting( X, skol3 ), line_connecting( skol1,
% 1.45/1.80 skol2 ) ), apart_point_and_line( skol2, line_connecting( X, skol3 ) ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 1
% 1.45/1.80 1 ==> 0
% 1.45/1.80 2 ==> 2
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1265) {G1,W13,D3,L3,V0,M3} { ! distinct_points( skol2, skol3
% 1.45/1.80 ), ! distinct_lines( line_connecting( skol2, skol3 ), line_connecting(
% 1.45/1.80 skol1, skol2 ) ), ! distinct_points( skol2, skol3 ) }.
% 1.45/1.80 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.45/1.80 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.45/1.80 parent1[2]: (609) {G4,W15,D3,L3,V1,M1} R(604,7) { ! distinct_lines(
% 1.45/1.80 line_connecting( X, skol3 ), line_connecting( skol1, skol2 ) ), !
% 1.45/1.80 distinct_points( X, skol3 ), apart_point_and_line( skol2, line_connecting
% 1.45/1.80 ( X, skol3 ) ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := skol2
% 1.45/1.80 Y := skol3
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 X := skol2
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 factor: (1266) {G1,W10,D3,L2,V0,M2} { ! distinct_points( skol2, skol3 ), !
% 1.45/1.80 distinct_lines( line_connecting( skol2, skol3 ), line_connecting( skol1
% 1.45/1.80 , skol2 ) ) }.
% 1.45/1.80 parent0[0, 2]: (1265) {G1,W13,D3,L3,V0,M3} { ! distinct_points( skol2,
% 1.45/1.80 skol3 ), ! distinct_lines( line_connecting( skol2, skol3 ),
% 1.45/1.80 line_connecting( skol1, skol2 ) ), ! distinct_points( skol2, skol3 ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1268) {G1,W7,D3,L1,V0,M1} { ! distinct_lines( line_connecting
% 1.45/1.80 ( skol2, skol3 ), line_connecting( skol1, skol2 ) ) }.
% 1.45/1.80 parent0[0]: (1266) {G1,W10,D3,L2,V0,M2} { ! distinct_points( skol2, skol3
% 1.45/1.80 ), ! distinct_lines( line_connecting( skol2, skol3 ), line_connecting(
% 1.45/1.80 skol1, skol2 ) ) }.
% 1.45/1.80 parent1[0]: (16) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol2, skol3 )
% 1.45/1.80 }.
% 1.45/1.80 substitution0:
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (613) {G5,W7,D3,L1,V0,M1} R(609,6);f;r(16) { ! distinct_lines
% 1.45/1.80 ( line_connecting( skol2, skol3 ), line_connecting( skol1, skol2 ) ) }.
% 1.45/1.80 parent0: (1268) {G1,W7,D3,L1,V0,M1} { ! distinct_lines( line_connecting(
% 1.45/1.80 skol2, skol3 ), line_connecting( skol1, skol2 ) ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 0
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1269) {G5,W10,D3,L2,V0,M2} { ! distinct_points( skol1, skol2
% 1.45/1.80 ), distinct_lines( line_connecting( skol2, skol3 ), line_connecting(
% 1.45/1.80 skol3, skol2 ) ) }.
% 1.45/1.80 parent0[0]: (613) {G5,W7,D3,L1,V0,M1} R(609,6);f;r(16) { ! distinct_lines(
% 1.45/1.80 line_connecting( skol2, skol3 ), line_connecting( skol1, skol2 ) ) }.
% 1.45/1.80 parent1[1]: (306) {G4,W13,D3,L3,V2,M2} R(148,91) { ! distinct_points( skol1
% 1.45/1.80 , X ), distinct_lines( Y, line_connecting( skol1, X ) ), distinct_lines(
% 1.45/1.80 Y, line_connecting( skol3, skol2 ) ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 X := skol2
% 1.45/1.80 Y := line_connecting( skol2, skol3 )
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1270) {G1,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 1.45/1.80 skol2, skol3 ), line_connecting( skol3, skol2 ) ) }.
% 1.45/1.80 parent0[0]: (1269) {G5,W10,D3,L2,V0,M2} { ! distinct_points( skol1, skol2
% 1.45/1.80 ), distinct_lines( line_connecting( skol2, skol3 ), line_connecting(
% 1.45/1.80 skol3, skol2 ) ) }.
% 1.45/1.80 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.45/1.80 }.
% 1.45/1.80 substitution0:
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (614) {G6,W7,D3,L1,V0,M1} R(613,306);r(14) { distinct_lines(
% 1.45/1.80 line_connecting( skol2, skol3 ), line_connecting( skol3, skol2 ) ) }.
% 1.45/1.80 parent0: (1270) {G1,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 1.45/1.80 skol2, skol3 ), line_connecting( skol3, skol2 ) ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 0
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1271) {G3,W10,D3,L2,V1,M2} { distinct_lines( line_connecting
% 1.45/1.80 ( skol2, skol3 ), X ), distinct_lines( X, line_connecting( skol3, skol2 )
% 1.45/1.80 ) }.
% 1.45/1.80 parent0[1]: (34) {G2,W9,D2,L3,V3,M3} R(32,4) { distinct_lines( Z, X ), !
% 1.45/1.80 distinct_lines( Z, Y ), distinct_lines( X, Y ) }.
% 1.45/1.80 parent1[0]: (614) {G6,W7,D3,L1,V0,M1} R(613,306);r(14) { distinct_lines(
% 1.45/1.80 line_connecting( skol2, skol3 ), line_connecting( skol3, skol2 ) ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 Y := line_connecting( skol3, skol2 )
% 1.45/1.80 Z := line_connecting( skol2, skol3 )
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (667) {G7,W10,D3,L2,V1,M2} R(614,34) { distinct_lines( X,
% 1.45/1.80 line_connecting( skol3, skol2 ) ), distinct_lines( line_connecting( skol2
% 1.45/1.80 , skol3 ), X ) }.
% 1.45/1.80 parent0: (1271) {G3,W10,D3,L2,V1,M2} { distinct_lines( line_connecting(
% 1.45/1.80 skol2, skol3 ), X ), distinct_lines( X, line_connecting( skol3, skol2 ) )
% 1.45/1.80 }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := X
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 1
% 1.45/1.80 1 ==> 0
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1272) {G6,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 1.45/1.80 skol1, skol2 ), line_connecting( skol3, skol2 ) ) }.
% 1.45/1.80 parent0[0]: (613) {G5,W7,D3,L1,V0,M1} R(609,6);f;r(16) { ! distinct_lines(
% 1.45/1.80 line_connecting( skol2, skol3 ), line_connecting( skol1, skol2 ) ) }.
% 1.45/1.80 parent1[1]: (667) {G7,W10,D3,L2,V1,M2} R(614,34) { distinct_lines( X,
% 1.45/1.80 line_connecting( skol3, skol2 ) ), distinct_lines( line_connecting( skol2
% 1.45/1.80 , skol3 ), X ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 X := line_connecting( skol1, skol2 )
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (671) {G8,W7,D3,L1,V0,M1} R(667,613) { distinct_lines(
% 1.45/1.80 line_connecting( skol1, skol2 ), line_connecting( skol3, skol2 ) ) }.
% 1.45/1.80 parent0: (1272) {G6,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 1.45/1.80 skol1, skol2 ), line_connecting( skol3, skol2 ) ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 0
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1273) {G1,W13,D3,L3,V0,M3} { ! distinct_points( skol3, skol2
% 1.45/1.80 ), ! distinct_lines( line_connecting( skol1, skol2 ), line_connecting(
% 1.45/1.80 skol3, skol2 ) ), ! distinct_points( skol3, skol2 ) }.
% 1.45/1.80 parent0[1]: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.45/1.80 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.45/1.80 parent1[2]: (603) {G5,W15,D3,L3,V1,M1} R(597,6) { ! distinct_lines(
% 1.45/1.80 line_connecting( skol1, skol2 ), line_connecting( skol3, X ) ), !
% 1.45/1.80 distinct_points( skol3, X ), apart_point_and_line( skol2, line_connecting
% 1.45/1.80 ( skol3, X ) ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 X := skol3
% 1.45/1.80 Y := skol2
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 X := skol2
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1275) {G2,W6,D2,L2,V0,M2} { ! distinct_points( skol3, skol2 )
% 1.45/1.80 , ! distinct_points( skol3, skol2 ) }.
% 1.45/1.80 parent0[1]: (1273) {G1,W13,D3,L3,V0,M3} { ! distinct_points( skol3, skol2
% 1.45/1.80 ), ! distinct_lines( line_connecting( skol1, skol2 ), line_connecting(
% 1.45/1.80 skol3, skol2 ) ), ! distinct_points( skol3, skol2 ) }.
% 1.45/1.80 parent1[0]: (671) {G8,W7,D3,L1,V0,M1} R(667,613) { distinct_lines(
% 1.45/1.80 line_connecting( skol1, skol2 ), line_connecting( skol3, skol2 ) ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 factor: (1276) {G2,W3,D2,L1,V0,M1} { ! distinct_points( skol3, skol2 ) }.
% 1.45/1.80 parent0[0, 1]: (1275) {G2,W6,D2,L2,V0,M2} { ! distinct_points( skol3,
% 1.45/1.80 skol2 ), ! distinct_points( skol3, skol2 ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (1111) {G9,W3,D2,L1,V0,M1} R(603,7);f;r(671) { !
% 1.45/1.80 distinct_points( skol3, skol2 ) }.
% 1.45/1.80 parent0: (1276) {G2,W3,D2,L1,V0,M1} { ! distinct_points( skol3, skol2 )
% 1.45/1.80 }.
% 1.45/1.80 substitution0:
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 0 ==> 0
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 resolution: (1277) {G3,W0,D0,L0,V0,M0} { }.
% 1.45/1.80 parent0[0]: (1111) {G9,W3,D2,L1,V0,M1} R(603,7);f;r(671) { !
% 1.45/1.80 distinct_points( skol3, skol2 ) }.
% 1.45/1.80 parent1[0]: (29) {G2,W3,D2,L1,V0,M1} R(23,16) { distinct_points( skol3,
% 1.45/1.80 skol2 ) }.
% 1.45/1.80 substitution0:
% 1.45/1.80 end
% 1.45/1.80 substitution1:
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 subsumption: (1112) {G10,W0,D0,L0,V0,M0} S(1111);r(29) { }.
% 1.45/1.80 parent0: (1277) {G3,W0,D0,L0,V0,M0} { }.
% 1.45/1.80 substitution0:
% 1.45/1.80 end
% 1.45/1.80 permutation0:
% 1.45/1.80 end
% 1.45/1.80
% 1.45/1.80 Proof check complete!
% 1.45/1.80
% 1.45/1.80 Memory use:
% 1.45/1.80
% 1.45/1.80 space for terms: 15519
% 1.45/1.80 space for clauses: 43578
% 1.45/1.80
% 1.45/1.80
% 1.45/1.80 clauses generated: 81157
% 1.45/1.80 clauses kept: 1113
% 1.45/1.80 clauses selected: 676
% 1.45/1.80 clauses deleted: 6
% 1.45/1.80 clauses inuse deleted: 0
% 1.45/1.80
% 1.45/1.80 subsentry: 116992
% 1.45/1.80 literals s-matched: 76695
% 1.45/1.80 literals matched: 76601
% 1.45/1.80 full subsumption: 59906
% 1.45/1.80
% 1.45/1.80 checksum: 569494136
% 1.45/1.80
% 1.45/1.80
% 1.45/1.80 Bliksem ended
%------------------------------------------------------------------------------