TSTP Solution File: GEO180+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO180+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 02:52:20 EDT 2022
% Result : Theorem 1.33s 1.73s
% Output : Refutation 1.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO180+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jun 18 06:01:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.33/1.73 *** allocated 10000 integers for termspace/termends
% 1.33/1.73 *** allocated 10000 integers for clauses
% 1.33/1.73 *** allocated 10000 integers for justifications
% 1.33/1.73 Bliksem 1.12
% 1.33/1.73
% 1.33/1.73
% 1.33/1.73 Automatic Strategy Selection
% 1.33/1.73
% 1.33/1.73
% 1.33/1.73 Clauses:
% 1.33/1.73
% 1.33/1.73 { ! distinct_points( X, X ) }.
% 1.33/1.73 { ! distinct_lines( X, X ) }.
% 1.33/1.73 { ! convergent_lines( X, X ) }.
% 1.33/1.73 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 1.33/1.73 ) }.
% 1.33/1.73 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 1.33/1.73 }.
% 1.33/1.73 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 1.33/1.73 , Z ) }.
% 1.33/1.73 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 1.33/1.73 , Y ) ), distinct_points( Z, X ) }.
% 1.33/1.73 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 1.33/1.73 , Y ) ), distinct_points( Z, Y ) }.
% 1.33/1.73 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, X ),
% 1.33/1.73 distinct_points( Z, intersection_point( X, Y ) ) }.
% 1.33/1.73 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, Y ),
% 1.33/1.73 distinct_points( Z, intersection_point( X, Y ) ) }.
% 1.33/1.73 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 1.33/1.73 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.33/1.73 apart_point_and_line( Y, T ) }.
% 1.33/1.73 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 1.33/1.73 apart_point_and_line( Z, Y ) }.
% 1.33/1.73 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 1.33/1.73 apart_point_and_line( X, Z ) }.
% 1.33/1.73 { ! convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 1.33/1.73 { distinct_points( skol1, skol2 ) }.
% 1.33/1.73 { apart_point_and_line( skol3, line_connecting( skol1, skol2 ) ) }.
% 1.33/1.73 { ! apart_point_and_line( skol1, line_connecting( skol3, skol2 ) ) }.
% 1.33/1.73
% 1.33/1.73 percentage equality = 0.000000, percentage horn = 0.647059
% 1.33/1.73 This a non-horn, non-equality problem
% 1.33/1.73
% 1.33/1.73
% 1.33/1.73 Options Used:
% 1.33/1.73
% 1.33/1.73 useres = 1
% 1.33/1.73 useparamod = 0
% 1.33/1.73 useeqrefl = 0
% 1.33/1.73 useeqfact = 0
% 1.33/1.73 usefactor = 1
% 1.33/1.73 usesimpsplitting = 0
% 1.33/1.73 usesimpdemod = 0
% 1.33/1.73 usesimpres = 3
% 1.33/1.73
% 1.33/1.73 resimpinuse = 1000
% 1.33/1.73 resimpclauses = 20000
% 1.33/1.73 substype = standard
% 1.33/1.73 backwardsubs = 1
% 1.33/1.73 selectoldest = 5
% 1.33/1.73
% 1.33/1.73 litorderings [0] = split
% 1.33/1.73 litorderings [1] = liftord
% 1.33/1.73
% 1.33/1.73 termordering = none
% 1.33/1.73
% 1.33/1.73 litapriori = 1
% 1.33/1.73 termapriori = 0
% 1.33/1.73 litaposteriori = 0
% 1.33/1.73 termaposteriori = 0
% 1.33/1.73 demodaposteriori = 0
% 1.33/1.73 ordereqreflfact = 0
% 1.33/1.73
% 1.33/1.73 litselect = none
% 1.33/1.73
% 1.33/1.73 maxweight = 15
% 1.33/1.73 maxdepth = 30000
% 1.33/1.73 maxlength = 115
% 1.33/1.73 maxnrvars = 195
% 1.33/1.73 excuselevel = 1
% 1.33/1.73 increasemaxweight = 1
% 1.33/1.73
% 1.33/1.73 maxselected = 10000000
% 1.33/1.73 maxnrclauses = 10000000
% 1.33/1.73
% 1.33/1.73 showgenerated = 0
% 1.33/1.73 showkept = 0
% 1.33/1.73 showselected = 0
% 1.33/1.73 showdeleted = 0
% 1.33/1.73 showresimp = 1
% 1.33/1.73 showstatus = 2000
% 1.33/1.73
% 1.33/1.73 prologoutput = 0
% 1.33/1.73 nrgoals = 5000000
% 1.33/1.73 totalproof = 1
% 1.33/1.73
% 1.33/1.73 Symbols occurring in the translation:
% 1.33/1.73
% 1.33/1.73 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.33/1.73 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 1.33/1.73 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 1.33/1.73 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.33/1.73 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.33/1.73 distinct_points [36, 2] (w:1, o:44, a:1, s:1, b:0),
% 1.33/1.73 distinct_lines [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 1.33/1.73 convergent_lines [38, 2] (w:1, o:43, a:1, s:1, b:0),
% 1.33/1.73 line_connecting [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 1.33/1.73 apart_point_and_line [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 1.33/1.73 intersection_point [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 1.33/1.73 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.33/1.73 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.33/1.73 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0).
% 1.33/1.73
% 1.33/1.73
% 1.33/1.73 Starting Search:
% 1.33/1.73
% 1.33/1.73 *** allocated 15000 integers for clauses
% 1.33/1.73 *** allocated 22500 integers for clauses
% 1.33/1.73 *** allocated 33750 integers for clauses
% 1.33/1.73 *** allocated 15000 integers for termspace/termends
% 1.33/1.73 *** allocated 50625 integers for clauses
% 1.33/1.73 Resimplifying inuse:
% 1.33/1.73 Done
% 1.33/1.73
% 1.33/1.73
% 1.33/1.73 Bliksems!, er is een bewijs:
% 1.33/1.73 % SZS status Theorem
% 1.33/1.73 % SZS output start Refutation
% 1.33/1.73
% 1.33/1.73 (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.33/1.73 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 1.33/1.73 (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 1.33/1.73 ), ! distinct_points( X, Y ) }.
% 1.33/1.73 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 1.33/1.73 , ! distinct_lines( X, Y ) }.
% 1.33/1.73 (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ), distinct_points( Z
% 1.33/1.73 , X ), ! apart_point_and_line( Z, line_connecting( X, Y ) ) }.
% 1.33/1.73 (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ), distinct_points( Z
% 1.33/1.73 , Y ), ! apart_point_and_line( Z, line_connecting( X, Y ) ) }.
% 1.33/1.73 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 1.33/1.73 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.33/1.73 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 1.33/1.73 (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 1.33/1.73 ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.33/1.73 (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ), apart_point_and_line(
% 1.33/1.73 X, Z ), ! apart_point_and_line( X, Y ) }.
% 1.33/1.73 (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 ) }.
% 1.33/1.73 (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol3, line_connecting(
% 1.33/1.73 skol1, skol2 ) ) }.
% 1.33/1.73 (16) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol1, line_connecting
% 1.33/1.73 ( skol3, skol2 ) ) }.
% 1.33/1.73 (20) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 1.33/1.73 distinct_points( X, Y ) }.
% 1.33/1.73 (23) {G2,W3,D2,L1,V0,M1} R(20,14) { distinct_points( skol2, skol1 ) }.
% 1.33/1.73 (27) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 1.33/1.73 ( X, Y ) }.
% 1.33/1.73 (28) {G2,W9,D2,L3,V3,M3} R(27,4) { distinct_lines( Z, X ), ! distinct_lines
% 1.33/1.73 ( Y, Z ), distinct_lines( X, Y ) }.
% 1.33/1.73 (29) {G2,W9,D2,L3,V3,M3} R(27,4) { distinct_lines( Z, X ), ! distinct_lines
% 1.33/1.73 ( Z, Y ), distinct_lines( X, Y ) }.
% 1.33/1.73 (55) {G1,W3,D2,L1,V0,M1} R(7,15);r(14) { distinct_points( skol3, skol2 )
% 1.33/1.73 }.
% 1.33/1.73 (74) {G3,W9,D2,L3,V3,M3} R(28,27) { distinct_lines( Z, X ), distinct_lines
% 1.33/1.73 ( Z, Y ), ! distinct_lines( X, Y ) }.
% 1.33/1.73 (100) {G1,W19,D3,L5,V2,M3} R(10,16) { ! distinct_points( skol1, X ), !
% 1.33/1.73 distinct_lines( Y, line_connecting( skol3, skol2 ) ),
% 1.33/1.73 apart_point_and_line( X, line_connecting( skol3, skol2 ) ),
% 1.33/1.73 apart_point_and_line( skol1, Y ), apart_point_and_line( X, Y ) }.
% 1.33/1.73 (101) {G1,W19,D3,L5,V2,M3} R(10,16) { ! distinct_points( X, skol1 ), !
% 1.33/1.73 distinct_lines( line_connecting( skol3, skol2 ), Y ),
% 1.33/1.73 apart_point_and_line( skol1, Y ), apart_point_and_line( X,
% 1.33/1.73 line_connecting( skol3, skol2 ) ), apart_point_and_line( X, Y ) }.
% 1.33/1.73 (117) {G1,W14,D3,L4,V4,M1} R(11,7) { distinct_points( X, Y ), !
% 1.33/1.73 distinct_points( Z, T ), distinct_points( Y, T ), ! apart_point_and_line
% 1.33/1.73 ( X, line_connecting( Z, T ) ) }.
% 1.33/1.73 (118) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y ), !
% 1.33/1.73 distinct_points( Z, T ), distinct_points( Y, Z ), ! apart_point_and_line
% 1.33/1.73 ( X, line_connecting( Z, T ) ) }.
% 1.33/1.73 (121) {G2,W8,D3,L2,V2,M1} F(118);r(0) { ! distinct_points( X, Y ), !
% 1.33/1.73 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.33/1.73 (122) {G2,W8,D3,L2,V2,M1} F(117);r(0) { ! distinct_points( Y, X ), !
% 1.33/1.73 apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 1.33/1.73 (139) {G1,W8,D3,L2,V1,M1} R(12,15) { distinct_lines( line_connecting( skol1
% 1.33/1.73 , skol2 ), X ), apart_point_and_line( skol3, X ) }.
% 1.33/1.73 (142) {G3,W10,D3,L2,V1,M1} R(139,121) { ! distinct_points( skol3, X ),
% 1.33/1.73 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol3,
% 1.33/1.73 X ) ) }.
% 1.33/1.73 (324) {G4,W13,D3,L3,V2,M2} R(142,74) { ! distinct_points( skol3, X ),
% 1.33/1.73 distinct_lines( Y, line_connecting( skol3, X ) ), distinct_lines( Y,
% 1.33/1.73 line_connecting( skol1, skol2 ) ) }.
% 1.33/1.73 (590) {G3,W14,D3,L4,V1,M1} R(100,122);r(14) { ! distinct_lines( X,
% 1.33/1.73 line_connecting( skol3, skol2 ) ), apart_point_and_line( skol1, X ), !
% 1.33/1.73 distinct_points( skol3, skol2 ), apart_point_and_line( skol2, X ) }.
% 1.33/1.73 (592) {G3,W14,D3,L4,V1,M1} R(101,122);r(23) { ! distinct_lines(
% 1.33/1.73 line_connecting( skol3, skol2 ), X ), apart_point_and_line( skol1, X ), !
% 1.33/1.73 distinct_points( skol3, skol2 ), apart_point_and_line( skol2, X ) }.
% 1.33/1.73 (600) {G4,W11,D3,L3,V1,M1} S(592);r(55) { ! distinct_lines( line_connecting
% 1.33/1.73 ( skol3, skol2 ), X ), apart_point_and_line( skol1, X ),
% 1.33/1.73 apart_point_and_line( skol2, X ) }.
% 1.33/1.73 (605) {G5,W15,D3,L3,V1,M1} R(600,122) { ! distinct_lines( line_connecting(
% 1.33/1.73 skol3, skol2 ), line_connecting( X, skol2 ) ), ! distinct_points( X,
% 1.33/1.73 skol2 ), apart_point_and_line( skol1, line_connecting( X, skol2 ) ) }.
% 1.33/1.73 (614) {G4,W11,D3,L3,V1,M1} S(590);r(55) { ! distinct_lines( X,
% 1.33/1.73 line_connecting( skol3, skol2 ) ), apart_point_and_line( skol1, X ),
% 1.33/1.73 apart_point_and_line( skol2, X ) }.
% 1.33/1.73 (618) {G5,W15,D3,L3,V1,M1} R(614,121) { ! distinct_lines( line_connecting(
% 1.33/1.73 skol2, X ), line_connecting( skol3, skol2 ) ), ! distinct_points( skol2,
% 1.33/1.73 X ), apart_point_and_line( skol1, line_connecting( skol2, X ) ) }.
% 1.33/1.73 (622) {G6,W7,D3,L1,V0,M1} R(618,122);f;r(23) { ! distinct_lines(
% 1.33/1.73 line_connecting( skol2, skol1 ), line_connecting( skol3, skol2 ) ) }.
% 1.33/1.73 (624) {G7,W7,D3,L1,V0,M1} R(622,324);r(55) { distinct_lines(
% 1.33/1.73 line_connecting( skol2, skol1 ), line_connecting( skol1, skol2 ) ) }.
% 1.33/1.73 (701) {G8,W10,D3,L2,V1,M2} R(624,29) { distinct_lines( X, line_connecting(
% 1.33/1.73 skol1, skol2 ) ), distinct_lines( line_connecting( skol2, skol1 ), X )
% 1.33/1.73 }.
% 1.33/1.73 (737) {G9,W7,D3,L1,V0,M1} R(701,622) { distinct_lines( line_connecting(
% 1.33/1.73 skol3, skol2 ), line_connecting( skol1, skol2 ) ) }.
% 1.33/1.73 (1022) {G10,W3,D2,L1,V0,M1} R(605,121);f;r(737) { ! distinct_points( skol1
% 1.33/1.73 , skol2 ) }.
% 1.33/1.73 (1025) {G11,W0,D0,L0,V0,M0} S(1022);r(14) { }.
% 1.33/1.73
% 1.33/1.73
% 1.33/1.73 % SZS output end Refutation
% 1.33/1.73 found a proof!
% 1.33/1.73
% 1.33/1.73
% 1.33/1.73 Unprocessed initial clauses:
% 1.33/1.73
% 1.33/1.73 (1027) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 1.33/1.73 (1028) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 1.33/1.73 (1029) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 1.33/1.73 (1030) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 1.33/1.73 , Z ), distinct_points( Y, Z ) }.
% 1.33/1.73 (1031) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 1.33/1.73 Z ), distinct_lines( Y, Z ) }.
% 1.33/1.73 (1032) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 1.33/1.73 ( X, Z ), convergent_lines( Y, Z ) }.
% 1.33/1.73 (1033) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 1.33/1.73 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 1.33/1.73 ) }.
% 1.33/1.73 (1034) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 1.33/1.73 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 1.33/1.73 ) }.
% 1.33/1.73 (1035) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 1.33/1.73 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 1.33/1.73 Y ) ) }.
% 1.33/1.73 (1036) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 1.33/1.73 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 1.33/1.73 Y ) ) }.
% 1.33/1.73 (1037) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 1.33/1.73 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 1.33/1.73 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 1.33/1.73 (1038) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.33/1.73 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 1.33/1.73 (1039) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.33/1.73 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 1.33/1.73 (1040) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ), distinct_lines( X
% 1.33/1.73 , Y ) }.
% 1.33/1.73 (1041) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 1.33/1.73 (1042) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( skol3, line_connecting
% 1.33/1.73 ( skol1, skol2 ) ) }.
% 1.33/1.73 (1043) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( skol1,
% 1.33/1.73 line_connecting( skol3, skol2 ) ) }.
% 1.33/1.73
% 1.33/1.73
% 1.33/1.73 Total Proof:
% 1.33/1.73
% 1.33/1.73 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.33/1.73 parent0: (1027) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 0
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 1.33/1.73 parent0: (1028) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 0
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 1.33/1.73 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 1.33/1.73 parent0: (1030) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ),
% 1.33/1.73 distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 Y := Y
% 1.33/1.73 Z := Z
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 2
% 1.33/1.73 1 ==> 0
% 1.33/1.73 2 ==> 1
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 1.33/1.73 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 1.33/1.73 parent0: (1031) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 1.33/1.73 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 Y := Y
% 1.33/1.73 Z := Z
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 2
% 1.33/1.73 1 ==> 0
% 1.33/1.73 2 ==> 1
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 1.33/1.73 distinct_points( Z, X ), ! apart_point_and_line( Z, line_connecting( X, Y
% 1.33/1.73 ) ) }.
% 1.33/1.73 parent0: (1033) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 1.33/1.73 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 1.33/1.73 ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 Y := Y
% 1.33/1.73 Z := Z
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 0
% 1.33/1.73 1 ==> 2
% 1.33/1.73 2 ==> 1
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 1.33/1.73 distinct_points( Z, Y ), ! apart_point_and_line( Z, line_connecting( X, Y
% 1.33/1.73 ) ) }.
% 1.33/1.73 parent0: (1034) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 1.33/1.73 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 1.33/1.73 ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 Y := Y
% 1.33/1.73 Z := Z
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 0
% 1.33/1.73 1 ==> 2
% 1.33/1.73 2 ==> 1
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 1.33/1.73 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 1.33/1.73 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 1.33/1.73 apart_point_and_line( X, Z ) }.
% 1.33/1.73 parent0: (1037) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 1.33/1.73 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 1.33/1.73 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.33/1.73 apart_point_and_line( Y, T ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 Y := Y
% 1.33/1.73 Z := Z
% 1.33/1.73 T := T
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 0
% 1.33/1.73 1 ==> 1
% 1.33/1.73 2 ==> 5
% 1.33/1.73 3 ==> 2
% 1.33/1.73 4 ==> 3
% 1.33/1.73 5 ==> 4
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 1.33/1.73 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.33/1.73 parent0: (1038) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.33/1.73 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 Y := Y
% 1.33/1.73 Z := Z
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 2
% 1.33/1.73 1 ==> 0
% 1.33/1.73 2 ==> 1
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 1.33/1.73 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 1.33/1.73 parent0: (1039) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.33/1.73 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 Y := Y
% 1.33/1.73 Z := Z
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 2
% 1.33/1.73 1 ==> 0
% 1.33/1.73 2 ==> 1
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.33/1.73 }.
% 1.33/1.73 parent0: (1041) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 0
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 *** allocated 22500 integers for termspace/termends
% 1.33/1.73 subsumption: (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol3,
% 1.33/1.73 line_connecting( skol1, skol2 ) ) }.
% 1.33/1.73 parent0: (1042) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( skol3,
% 1.33/1.73 line_connecting( skol1, skol2 ) ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 0
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (16) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 1.33/1.73 line_connecting( skol3, skol2 ) ) }.
% 1.33/1.73 parent0: (1043) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( skol1,
% 1.33/1.73 line_connecting( skol3, skol2 ) ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 0
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1107) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 1.33/1.73 distinct_points( X, Y ) }.
% 1.33/1.73 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.33/1.73 parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 1.33/1.73 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 X := X
% 1.33/1.73 Y := Y
% 1.33/1.73 Z := X
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (20) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 1.33/1.73 distinct_points( X, Y ) }.
% 1.33/1.73 parent0: (1107) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 1.33/1.73 distinct_points( X, Y ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := Y
% 1.33/1.73 Y := X
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 1
% 1.33/1.73 1 ==> 0
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1109) {G1,W3,D2,L1,V0,M1} { distinct_points( skol2, skol1 )
% 1.33/1.73 }.
% 1.33/1.73 parent0[0]: (20) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 1.33/1.73 distinct_points( X, Y ) }.
% 1.33/1.73 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.33/1.73 }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := skol2
% 1.33/1.73 Y := skol1
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (23) {G2,W3,D2,L1,V0,M1} R(20,14) { distinct_points( skol2,
% 1.33/1.73 skol1 ) }.
% 1.33/1.73 parent0: (1109) {G1,W3,D2,L1,V0,M1} { distinct_points( skol2, skol1 ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 0
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1110) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 1.33/1.73 distinct_lines( X, Y ) }.
% 1.33/1.73 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 1.33/1.73 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 1.33/1.73 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 X := X
% 1.33/1.73 Y := Y
% 1.33/1.73 Z := X
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (27) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 1.33/1.73 distinct_lines( X, Y ) }.
% 1.33/1.73 parent0: (1110) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 1.33/1.73 distinct_lines( X, Y ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := Y
% 1.33/1.73 Y := X
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 1
% 1.33/1.73 1 ==> 0
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1112) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ),
% 1.33/1.73 distinct_lines( Z, Y ), ! distinct_lines( X, Z ) }.
% 1.33/1.73 parent0[0]: (27) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 1.33/1.73 distinct_lines( X, Y ) }.
% 1.33/1.73 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 1.33/1.73 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := Y
% 1.33/1.73 Y := X
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 X := X
% 1.33/1.73 Y := Z
% 1.33/1.73 Z := Y
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (28) {G2,W9,D2,L3,V3,M3} R(27,4) { distinct_lines( Z, X ), !
% 1.33/1.73 distinct_lines( Y, Z ), distinct_lines( X, Y ) }.
% 1.33/1.73 parent0: (1112) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ),
% 1.33/1.73 distinct_lines( Z, Y ), ! distinct_lines( X, Z ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := Y
% 1.33/1.73 Y := X
% 1.33/1.73 Z := Z
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 2
% 1.33/1.73 1 ==> 0
% 1.33/1.73 2 ==> 1
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1116) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ),
% 1.33/1.73 distinct_lines( Z, Y ), ! distinct_lines( Z, X ) }.
% 1.33/1.73 parent0[0]: (27) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 1.33/1.73 distinct_lines( X, Y ) }.
% 1.33/1.73 parent1[1]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 1.33/1.73 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := Y
% 1.33/1.73 Y := X
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 X := Z
% 1.33/1.73 Y := X
% 1.33/1.73 Z := Y
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (29) {G2,W9,D2,L3,V3,M3} R(27,4) { distinct_lines( Z, X ), !
% 1.33/1.73 distinct_lines( Z, Y ), distinct_lines( X, Y ) }.
% 1.33/1.73 parent0: (1116) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ),
% 1.33/1.73 distinct_lines( Z, Y ), ! distinct_lines( Z, X ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := Y
% 1.33/1.73 Y := X
% 1.33/1.73 Z := Z
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 2
% 1.33/1.73 1 ==> 0
% 1.33/1.73 2 ==> 1
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1118) {G1,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 1.33/1.73 , distinct_points( skol3, skol2 ) }.
% 1.33/1.73 parent0[2]: (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 1.33/1.73 distinct_points( Z, Y ), ! apart_point_and_line( Z, line_connecting( X, Y
% 1.33/1.73 ) ) }.
% 1.33/1.73 parent1[0]: (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol3,
% 1.33/1.73 line_connecting( skol1, skol2 ) ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := skol1
% 1.33/1.73 Y := skol2
% 1.33/1.73 Z := skol3
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1119) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol2 )
% 1.33/1.73 }.
% 1.33/1.73 parent0[0]: (1118) {G1,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 1.33/1.73 , distinct_points( skol3, skol2 ) }.
% 1.33/1.73 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.33/1.73 }.
% 1.33/1.73 substitution0:
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (55) {G1,W3,D2,L1,V0,M1} R(7,15);r(14) { distinct_points(
% 1.33/1.73 skol3, skol2 ) }.
% 1.33/1.73 parent0: (1119) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol2 ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 0
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1122) {G2,W9,D2,L3,V3,M3} { distinct_lines( Y, X ), !
% 1.33/1.73 distinct_lines( Z, X ), distinct_lines( Y, Z ) }.
% 1.33/1.73 parent0[0]: (27) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 1.33/1.73 distinct_lines( X, Y ) }.
% 1.33/1.73 parent1[0]: (28) {G2,W9,D2,L3,V3,M3} R(27,4) { distinct_lines( Z, X ), !
% 1.33/1.73 distinct_lines( Y, Z ), distinct_lines( X, Y ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := Y
% 1.33/1.73 Y := X
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 X := Y
% 1.33/1.73 Y := Z
% 1.33/1.73 Z := X
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (74) {G3,W9,D2,L3,V3,M3} R(28,27) { distinct_lines( Z, X ),
% 1.33/1.73 distinct_lines( Z, Y ), ! distinct_lines( X, Y ) }.
% 1.33/1.73 parent0: (1122) {G2,W9,D2,L3,V3,M3} { distinct_lines( Y, X ), !
% 1.33/1.73 distinct_lines( Z, X ), distinct_lines( Y, Z ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := Y
% 1.33/1.73 Y := Z
% 1.33/1.73 Z := X
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 1
% 1.33/1.73 1 ==> 2
% 1.33/1.73 2 ==> 0
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1126) {G1,W19,D3,L5,V2,M5} { ! distinct_points( skol1, X ), !
% 1.33/1.73 distinct_lines( Y, line_connecting( skol3, skol2 ) ),
% 1.33/1.73 apart_point_and_line( X, Y ), apart_point_and_line( X, line_connecting(
% 1.33/1.73 skol3, skol2 ) ), apart_point_and_line( skol1, Y ) }.
% 1.33/1.73 parent0[0]: (16) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 1.33/1.73 line_connecting( skol3, skol2 ) ) }.
% 1.33/1.73 parent1[2]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 1.33/1.73 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 1.33/1.73 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 1.33/1.73 apart_point_and_line( X, Z ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 X := skol1
% 1.33/1.73 Y := X
% 1.33/1.73 Z := Y
% 1.33/1.73 T := line_connecting( skol3, skol2 )
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (100) {G1,W19,D3,L5,V2,M3} R(10,16) { ! distinct_points( skol1
% 1.33/1.73 , X ), ! distinct_lines( Y, line_connecting( skol3, skol2 ) ),
% 1.33/1.73 apart_point_and_line( X, line_connecting( skol3, skol2 ) ),
% 1.33/1.73 apart_point_and_line( skol1, Y ), apart_point_and_line( X, Y ) }.
% 1.33/1.73 parent0: (1126) {G1,W19,D3,L5,V2,M5} { ! distinct_points( skol1, X ), !
% 1.33/1.73 distinct_lines( Y, line_connecting( skol3, skol2 ) ),
% 1.33/1.73 apart_point_and_line( X, Y ), apart_point_and_line( X, line_connecting(
% 1.33/1.73 skol3, skol2 ) ), apart_point_and_line( skol1, Y ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 Y := Y
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 0
% 1.33/1.73 1 ==> 1
% 1.33/1.73 2 ==> 4
% 1.33/1.73 3 ==> 2
% 1.33/1.73 4 ==> 3
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1136) {G1,W19,D3,L5,V2,M5} { ! distinct_points( X, skol1 ), !
% 1.33/1.73 distinct_lines( line_connecting( skol3, skol2 ), Y ),
% 1.33/1.73 apart_point_and_line( X, Y ), apart_point_and_line( skol1, Y ),
% 1.33/1.73 apart_point_and_line( X, line_connecting( skol3, skol2 ) ) }.
% 1.33/1.73 parent0[0]: (16) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 1.33/1.73 line_connecting( skol3, skol2 ) ) }.
% 1.33/1.73 parent1[3]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 1.33/1.73 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 1.33/1.73 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 1.33/1.73 apart_point_and_line( X, Z ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 X := X
% 1.33/1.73 Y := skol1
% 1.33/1.73 Z := line_connecting( skol3, skol2 )
% 1.33/1.73 T := Y
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (101) {G1,W19,D3,L5,V2,M3} R(10,16) { ! distinct_points( X,
% 1.33/1.73 skol1 ), ! distinct_lines( line_connecting( skol3, skol2 ), Y ),
% 1.33/1.73 apart_point_and_line( skol1, Y ), apart_point_and_line( X,
% 1.33/1.73 line_connecting( skol3, skol2 ) ), apart_point_and_line( X, Y ) }.
% 1.33/1.73 parent0: (1136) {G1,W19,D3,L5,V2,M5} { ! distinct_points( X, skol1 ), !
% 1.33/1.73 distinct_lines( line_connecting( skol3, skol2 ), Y ),
% 1.33/1.73 apart_point_and_line( X, Y ), apart_point_and_line( skol1, Y ),
% 1.33/1.73 apart_point_and_line( X, line_connecting( skol3, skol2 ) ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 Y := Y
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 0
% 1.33/1.73 1 ==> 1
% 1.33/1.73 2 ==> 4
% 1.33/1.73 3 ==> 2
% 1.33/1.73 4 ==> 3
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1145) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 1.33/1.73 distinct_points( Z, Y ), distinct_points( T, Z ), ! apart_point_and_line
% 1.33/1.73 ( T, line_connecting( X, Y ) ) }.
% 1.33/1.73 parent0[2]: (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 1.33/1.73 distinct_points( Z, Y ), ! apart_point_and_line( Z, line_connecting( X, Y
% 1.33/1.73 ) ) }.
% 1.33/1.73 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 1.33/1.73 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 Y := Y
% 1.33/1.73 Z := Z
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 X := T
% 1.33/1.73 Y := line_connecting( X, Y )
% 1.33/1.73 Z := Z
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (117) {G1,W14,D3,L4,V4,M1} R(11,7) { distinct_points( X, Y ),
% 1.33/1.73 ! distinct_points( Z, T ), distinct_points( Y, T ), !
% 1.33/1.73 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 1.33/1.73 parent0: (1145) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 1.33/1.73 distinct_points( Z, Y ), distinct_points( T, Z ), ! apart_point_and_line
% 1.33/1.73 ( T, line_connecting( X, Y ) ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := Z
% 1.33/1.73 Y := T
% 1.33/1.73 Z := Y
% 1.33/1.73 T := X
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 1
% 1.33/1.73 1 ==> 2
% 1.33/1.73 2 ==> 0
% 1.33/1.73 3 ==> 3
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1149) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 1.33/1.73 distinct_points( Z, X ), distinct_points( T, Z ), ! apart_point_and_line
% 1.33/1.73 ( T, line_connecting( X, Y ) ) }.
% 1.33/1.73 parent0[2]: (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 1.33/1.73 distinct_points( Z, X ), ! apart_point_and_line( Z, line_connecting( X, Y
% 1.33/1.73 ) ) }.
% 1.33/1.73 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 1.33/1.73 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 Y := Y
% 1.33/1.73 Z := Z
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 X := T
% 1.33/1.73 Y := line_connecting( X, Y )
% 1.33/1.73 Z := Z
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (118) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y ),
% 1.33/1.73 ! distinct_points( Z, T ), distinct_points( Y, Z ), !
% 1.33/1.73 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 1.33/1.73 parent0: (1149) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 1.33/1.73 distinct_points( Z, X ), distinct_points( T, Z ), ! apart_point_and_line
% 1.33/1.73 ( T, line_connecting( X, Y ) ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := Z
% 1.33/1.73 Y := T
% 1.33/1.73 Z := Y
% 1.33/1.73 T := X
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 1
% 1.33/1.73 1 ==> 2
% 1.33/1.73 2 ==> 0
% 1.33/1.73 3 ==> 3
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 factor: (1152) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 1.33/1.73 distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X, Y
% 1.33/1.73 ) ) }.
% 1.33/1.73 parent0[0, 2]: (118) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y )
% 1.33/1.73 , ! distinct_points( Z, T ), distinct_points( Y, Z ), !
% 1.33/1.73 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 Y := X
% 1.33/1.73 Z := X
% 1.33/1.73 T := Y
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1153) {G1,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.33/1.73 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.33/1.73 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.33/1.73 parent1[0]: (1152) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 1.33/1.73 distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X, Y
% 1.33/1.73 ) ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 X := X
% 1.33/1.73 Y := Y
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (121) {G2,W8,D3,L2,V2,M1} F(118);r(0) { ! distinct_points( X,
% 1.33/1.73 Y ), ! apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.33/1.73 parent0: (1153) {G1,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.33/1.73 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 Y := Y
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 0
% 1.33/1.73 1 ==> 1
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 factor: (1154) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 1.33/1.73 distinct_points( Y, X ), ! apart_point_and_line( X, line_connecting( Y, X
% 1.33/1.73 ) ) }.
% 1.33/1.73 parent0[0, 2]: (117) {G1,W14,D3,L4,V4,M1} R(11,7) { distinct_points( X, Y )
% 1.33/1.73 , ! distinct_points( Z, T ), distinct_points( Y, T ), !
% 1.33/1.73 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 Y := X
% 1.33/1.73 Z := Y
% 1.33/1.73 T := X
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1155) {G1,W8,D3,L2,V2,M2} { ! distinct_points( Y, X ), !
% 1.33/1.73 apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 1.33/1.73 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.33/1.73 parent1[0]: (1154) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 1.33/1.73 distinct_points( Y, X ), ! apart_point_and_line( X, line_connecting( Y, X
% 1.33/1.73 ) ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 X := X
% 1.33/1.73 Y := Y
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (122) {G2,W8,D3,L2,V2,M1} F(117);r(0) { ! distinct_points( Y,
% 1.33/1.73 X ), ! apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 1.33/1.73 parent0: (1155) {G1,W8,D3,L2,V2,M2} { ! distinct_points( Y, X ), !
% 1.33/1.73 apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 Y := Y
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 0
% 1.33/1.73 1 ==> 1
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1156) {G1,W8,D3,L2,V1,M2} { distinct_lines( line_connecting(
% 1.33/1.73 skol1, skol2 ), X ), apart_point_and_line( skol3, X ) }.
% 1.33/1.73 parent0[2]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 1.33/1.73 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 1.33/1.73 parent1[0]: (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol3,
% 1.33/1.73 line_connecting( skol1, skol2 ) ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := skol3
% 1.33/1.73 Y := line_connecting( skol1, skol2 )
% 1.33/1.73 Z := X
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (139) {G1,W8,D3,L2,V1,M1} R(12,15) { distinct_lines(
% 1.33/1.73 line_connecting( skol1, skol2 ), X ), apart_point_and_line( skol3, X )
% 1.33/1.73 }.
% 1.33/1.73 parent0: (1156) {G1,W8,D3,L2,V1,M2} { distinct_lines( line_connecting(
% 1.33/1.73 skol1, skol2 ), X ), apart_point_and_line( skol3, X ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 0
% 1.33/1.73 1 ==> 1
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1157) {G2,W10,D3,L2,V1,M2} { ! distinct_points( skol3, X ),
% 1.33/1.73 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol3,
% 1.33/1.73 X ) ) }.
% 1.33/1.73 parent0[1]: (121) {G2,W8,D3,L2,V2,M1} F(118);r(0) { ! distinct_points( X, Y
% 1.33/1.73 ), ! apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.33/1.73 parent1[1]: (139) {G1,W8,D3,L2,V1,M1} R(12,15) { distinct_lines(
% 1.33/1.73 line_connecting( skol1, skol2 ), X ), apart_point_and_line( skol3, X )
% 1.33/1.73 }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := skol3
% 1.33/1.73 Y := X
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 X := line_connecting( skol3, X )
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (142) {G3,W10,D3,L2,V1,M1} R(139,121) { ! distinct_points(
% 1.33/1.73 skol3, X ), distinct_lines( line_connecting( skol1, skol2 ),
% 1.33/1.73 line_connecting( skol3, X ) ) }.
% 1.33/1.73 parent0: (1157) {G2,W10,D3,L2,V1,M2} { ! distinct_points( skol3, X ),
% 1.33/1.73 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol3,
% 1.33/1.73 X ) ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 0
% 1.33/1.73 1 ==> 1
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1158) {G4,W13,D3,L3,V2,M3} { distinct_lines( X,
% 1.33/1.73 line_connecting( skol1, skol2 ) ), distinct_lines( X, line_connecting(
% 1.33/1.73 skol3, Y ) ), ! distinct_points( skol3, Y ) }.
% 1.33/1.73 parent0[2]: (74) {G3,W9,D2,L3,V3,M3} R(28,27) { distinct_lines( Z, X ),
% 1.33/1.73 distinct_lines( Z, Y ), ! distinct_lines( X, Y ) }.
% 1.33/1.73 parent1[1]: (142) {G3,W10,D3,L2,V1,M1} R(139,121) { ! distinct_points(
% 1.33/1.73 skol3, X ), distinct_lines( line_connecting( skol1, skol2 ),
% 1.33/1.73 line_connecting( skol3, X ) ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := line_connecting( skol1, skol2 )
% 1.33/1.73 Y := line_connecting( skol3, Y )
% 1.33/1.73 Z := X
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 X := Y
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (324) {G4,W13,D3,L3,V2,M2} R(142,74) { ! distinct_points(
% 1.33/1.73 skol3, X ), distinct_lines( Y, line_connecting( skol3, X ) ),
% 1.33/1.73 distinct_lines( Y, line_connecting( skol1, skol2 ) ) }.
% 1.33/1.73 parent0: (1158) {G4,W13,D3,L3,V2,M3} { distinct_lines( X, line_connecting
% 1.33/1.73 ( skol1, skol2 ) ), distinct_lines( X, line_connecting( skol3, Y ) ), !
% 1.33/1.73 distinct_points( skol3, Y ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := Y
% 1.33/1.73 Y := X
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 2
% 1.33/1.73 1 ==> 1
% 1.33/1.73 2 ==> 0
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1159) {G2,W17,D3,L5,V1,M5} { ! distinct_points( skol3, skol2
% 1.33/1.73 ), ! distinct_points( skol1, skol2 ), ! distinct_lines( X,
% 1.33/1.73 line_connecting( skol3, skol2 ) ), apart_point_and_line( skol1, X ),
% 1.33/1.73 apart_point_and_line( skol2, X ) }.
% 1.33/1.73 parent0[1]: (122) {G2,W8,D3,L2,V2,M1} F(117);r(0) { ! distinct_points( Y, X
% 1.33/1.73 ), ! apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 1.33/1.73 parent1[2]: (100) {G1,W19,D3,L5,V2,M3} R(10,16) { ! distinct_points( skol1
% 1.33/1.73 , X ), ! distinct_lines( Y, line_connecting( skol3, skol2 ) ),
% 1.33/1.73 apart_point_and_line( X, line_connecting( skol3, skol2 ) ),
% 1.33/1.73 apart_point_and_line( skol1, Y ), apart_point_and_line( X, Y ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := skol2
% 1.33/1.73 Y := skol3
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 X := skol2
% 1.33/1.73 Y := X
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1163) {G1,W14,D3,L4,V1,M4} { ! distinct_points( skol3, skol2
% 1.33/1.73 ), ! distinct_lines( X, line_connecting( skol3, skol2 ) ),
% 1.33/1.73 apart_point_and_line( skol1, X ), apart_point_and_line( skol2, X ) }.
% 1.33/1.73 parent0[1]: (1159) {G2,W17,D3,L5,V1,M5} { ! distinct_points( skol3, skol2
% 1.33/1.73 ), ! distinct_points( skol1, skol2 ), ! distinct_lines( X,
% 1.33/1.73 line_connecting( skol3, skol2 ) ), apart_point_and_line( skol1, X ),
% 1.33/1.73 apart_point_and_line( skol2, X ) }.
% 1.33/1.73 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.33/1.73 }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (590) {G3,W14,D3,L4,V1,M1} R(100,122);r(14) { ! distinct_lines
% 1.33/1.73 ( X, line_connecting( skol3, skol2 ) ), apart_point_and_line( skol1, X )
% 1.33/1.73 , ! distinct_points( skol3, skol2 ), apart_point_and_line( skol2, X ) }.
% 1.33/1.73 parent0: (1163) {G1,W14,D3,L4,V1,M4} { ! distinct_points( skol3, skol2 ),
% 1.33/1.73 ! distinct_lines( X, line_connecting( skol3, skol2 ) ),
% 1.33/1.73 apart_point_and_line( skol1, X ), apart_point_and_line( skol2, X ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 2
% 1.33/1.73 1 ==> 0
% 1.33/1.73 2 ==> 1
% 1.33/1.73 3 ==> 3
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1165) {G2,W17,D3,L5,V1,M5} { ! distinct_points( skol3, skol2
% 1.33/1.73 ), ! distinct_points( skol2, skol1 ), ! distinct_lines( line_connecting
% 1.33/1.73 ( skol3, skol2 ), X ), apart_point_and_line( skol1, X ),
% 1.33/1.73 apart_point_and_line( skol2, X ) }.
% 1.33/1.73 parent0[1]: (122) {G2,W8,D3,L2,V2,M1} F(117);r(0) { ! distinct_points( Y, X
% 1.33/1.73 ), ! apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 1.33/1.73 parent1[3]: (101) {G1,W19,D3,L5,V2,M3} R(10,16) { ! distinct_points( X,
% 1.33/1.73 skol1 ), ! distinct_lines( line_connecting( skol3, skol2 ), Y ),
% 1.33/1.73 apart_point_and_line( skol1, Y ), apart_point_and_line( X,
% 1.33/1.73 line_connecting( skol3, skol2 ) ), apart_point_and_line( X, Y ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := skol2
% 1.33/1.73 Y := skol3
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 X := skol2
% 1.33/1.73 Y := X
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1169) {G3,W14,D3,L4,V1,M4} { ! distinct_points( skol3, skol2
% 1.33/1.73 ), ! distinct_lines( line_connecting( skol3, skol2 ), X ),
% 1.33/1.73 apart_point_and_line( skol1, X ), apart_point_and_line( skol2, X ) }.
% 1.33/1.73 parent0[1]: (1165) {G2,W17,D3,L5,V1,M5} { ! distinct_points( skol3, skol2
% 1.33/1.73 ), ! distinct_points( skol2, skol1 ), ! distinct_lines( line_connecting
% 1.33/1.73 ( skol3, skol2 ), X ), apart_point_and_line( skol1, X ),
% 1.33/1.73 apart_point_and_line( skol2, X ) }.
% 1.33/1.73 parent1[0]: (23) {G2,W3,D2,L1,V0,M1} R(20,14) { distinct_points( skol2,
% 1.33/1.73 skol1 ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (592) {G3,W14,D3,L4,V1,M1} R(101,122);r(23) { ! distinct_lines
% 1.33/1.73 ( line_connecting( skol3, skol2 ), X ), apart_point_and_line( skol1, X )
% 1.33/1.73 , ! distinct_points( skol3, skol2 ), apart_point_and_line( skol2, X ) }.
% 1.33/1.73 parent0: (1169) {G3,W14,D3,L4,V1,M4} { ! distinct_points( skol3, skol2 ),
% 1.33/1.73 ! distinct_lines( line_connecting( skol3, skol2 ), X ),
% 1.33/1.73 apart_point_and_line( skol1, X ), apart_point_and_line( skol2, X ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 2
% 1.33/1.73 1 ==> 0
% 1.33/1.73 2 ==> 1
% 1.33/1.73 3 ==> 3
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1170) {G2,W11,D3,L3,V1,M3} { ! distinct_lines(
% 1.33/1.73 line_connecting( skol3, skol2 ), X ), apart_point_and_line( skol1, X ),
% 1.33/1.73 apart_point_and_line( skol2, X ) }.
% 1.33/1.73 parent0[2]: (592) {G3,W14,D3,L4,V1,M1} R(101,122);r(23) { ! distinct_lines
% 1.33/1.73 ( line_connecting( skol3, skol2 ), X ), apart_point_and_line( skol1, X )
% 1.33/1.73 , ! distinct_points( skol3, skol2 ), apart_point_and_line( skol2, X ) }.
% 1.33/1.73 parent1[0]: (55) {G1,W3,D2,L1,V0,M1} R(7,15);r(14) { distinct_points( skol3
% 1.33/1.73 , skol2 ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (600) {G4,W11,D3,L3,V1,M1} S(592);r(55) { ! distinct_lines(
% 1.33/1.73 line_connecting( skol3, skol2 ), X ), apart_point_and_line( skol1, X ),
% 1.33/1.73 apart_point_and_line( skol2, X ) }.
% 1.33/1.73 parent0: (1170) {G2,W11,D3,L3,V1,M3} { ! distinct_lines( line_connecting(
% 1.33/1.73 skol3, skol2 ), X ), apart_point_and_line( skol1, X ),
% 1.33/1.73 apart_point_and_line( skol2, X ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 0
% 1.33/1.73 1 ==> 1
% 1.33/1.73 2 ==> 2
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1172) {G3,W15,D3,L3,V1,M3} { ! distinct_points( X, skol2 ), !
% 1.33/1.73 distinct_lines( line_connecting( skol3, skol2 ), line_connecting( X,
% 1.33/1.73 skol2 ) ), apart_point_and_line( skol1, line_connecting( X, skol2 ) ) }.
% 1.33/1.73 parent0[1]: (122) {G2,W8,D3,L2,V2,M1} F(117);r(0) { ! distinct_points( Y, X
% 1.33/1.73 ), ! apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 1.33/1.73 parent1[2]: (600) {G4,W11,D3,L3,V1,M1} S(592);r(55) { ! distinct_lines(
% 1.33/1.73 line_connecting( skol3, skol2 ), X ), apart_point_and_line( skol1, X ),
% 1.33/1.73 apart_point_and_line( skol2, X ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := skol2
% 1.33/1.73 Y := X
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 X := line_connecting( X, skol2 )
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (605) {G5,W15,D3,L3,V1,M1} R(600,122) { ! distinct_lines(
% 1.33/1.73 line_connecting( skol3, skol2 ), line_connecting( X, skol2 ) ), !
% 1.33/1.73 distinct_points( X, skol2 ), apart_point_and_line( skol1, line_connecting
% 1.33/1.73 ( X, skol2 ) ) }.
% 1.33/1.73 parent0: (1172) {G3,W15,D3,L3,V1,M3} { ! distinct_points( X, skol2 ), !
% 1.33/1.73 distinct_lines( line_connecting( skol3, skol2 ), line_connecting( X,
% 1.33/1.73 skol2 ) ), apart_point_and_line( skol1, line_connecting( X, skol2 ) ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 1
% 1.33/1.73 1 ==> 0
% 1.33/1.73 2 ==> 2
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1173) {G2,W11,D3,L3,V1,M3} { ! distinct_lines( X,
% 1.33/1.73 line_connecting( skol3, skol2 ) ), apart_point_and_line( skol1, X ),
% 1.33/1.73 apart_point_and_line( skol2, X ) }.
% 1.33/1.73 parent0[2]: (590) {G3,W14,D3,L4,V1,M1} R(100,122);r(14) { ! distinct_lines
% 1.33/1.73 ( X, line_connecting( skol3, skol2 ) ), apart_point_and_line( skol1, X )
% 1.33/1.73 , ! distinct_points( skol3, skol2 ), apart_point_and_line( skol2, X ) }.
% 1.33/1.73 parent1[0]: (55) {G1,W3,D2,L1,V0,M1} R(7,15);r(14) { distinct_points( skol3
% 1.33/1.73 , skol2 ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (614) {G4,W11,D3,L3,V1,M1} S(590);r(55) { ! distinct_lines( X
% 1.33/1.73 , line_connecting( skol3, skol2 ) ), apart_point_and_line( skol1, X ),
% 1.33/1.73 apart_point_and_line( skol2, X ) }.
% 1.33/1.73 parent0: (1173) {G2,W11,D3,L3,V1,M3} { ! distinct_lines( X,
% 1.33/1.73 line_connecting( skol3, skol2 ) ), apart_point_and_line( skol1, X ),
% 1.33/1.73 apart_point_and_line( skol2, X ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 0
% 1.33/1.73 1 ==> 1
% 1.33/1.73 2 ==> 2
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1175) {G3,W15,D3,L3,V1,M3} { ! distinct_points( skol2, X ), !
% 1.33/1.73 distinct_lines( line_connecting( skol2, X ), line_connecting( skol3,
% 1.33/1.73 skol2 ) ), apart_point_and_line( skol1, line_connecting( skol2, X ) ) }.
% 1.33/1.73 parent0[1]: (121) {G2,W8,D3,L2,V2,M1} F(118);r(0) { ! distinct_points( X, Y
% 1.33/1.73 ), ! apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.33/1.73 parent1[2]: (614) {G4,W11,D3,L3,V1,M1} S(590);r(55) { ! distinct_lines( X,
% 1.33/1.73 line_connecting( skol3, skol2 ) ), apart_point_and_line( skol1, X ),
% 1.33/1.73 apart_point_and_line( skol2, X ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := skol2
% 1.33/1.73 Y := X
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 X := line_connecting( skol2, X )
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (618) {G5,W15,D3,L3,V1,M1} R(614,121) { ! distinct_lines(
% 1.33/1.73 line_connecting( skol2, X ), line_connecting( skol3, skol2 ) ), !
% 1.33/1.73 distinct_points( skol2, X ), apart_point_and_line( skol1, line_connecting
% 1.33/1.73 ( skol2, X ) ) }.
% 1.33/1.73 parent0: (1175) {G3,W15,D3,L3,V1,M3} { ! distinct_points( skol2, X ), !
% 1.33/1.73 distinct_lines( line_connecting( skol2, X ), line_connecting( skol3,
% 1.33/1.73 skol2 ) ), apart_point_and_line( skol1, line_connecting( skol2, X ) ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 1
% 1.33/1.73 1 ==> 0
% 1.33/1.73 2 ==> 2
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1176) {G3,W13,D3,L3,V0,M3} { ! distinct_points( skol2, skol1
% 1.33/1.73 ), ! distinct_lines( line_connecting( skol2, skol1 ), line_connecting(
% 1.33/1.73 skol3, skol2 ) ), ! distinct_points( skol2, skol1 ) }.
% 1.33/1.73 parent0[1]: (122) {G2,W8,D3,L2,V2,M1} F(117);r(0) { ! distinct_points( Y, X
% 1.33/1.73 ), ! apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 1.33/1.73 parent1[2]: (618) {G5,W15,D3,L3,V1,M1} R(614,121) { ! distinct_lines(
% 1.33/1.73 line_connecting( skol2, X ), line_connecting( skol3, skol2 ) ), !
% 1.33/1.73 distinct_points( skol2, X ), apart_point_and_line( skol1, line_connecting
% 1.33/1.73 ( skol2, X ) ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := skol1
% 1.33/1.73 Y := skol2
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 X := skol1
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 factor: (1177) {G3,W10,D3,L2,V0,M2} { ! distinct_points( skol2, skol1 ), !
% 1.33/1.73 distinct_lines( line_connecting( skol2, skol1 ), line_connecting( skol3
% 1.33/1.73 , skol2 ) ) }.
% 1.33/1.73 parent0[0, 2]: (1176) {G3,W13,D3,L3,V0,M3} { ! distinct_points( skol2,
% 1.33/1.73 skol1 ), ! distinct_lines( line_connecting( skol2, skol1 ),
% 1.33/1.73 line_connecting( skol3, skol2 ) ), ! distinct_points( skol2, skol1 ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1179) {G3,W7,D3,L1,V0,M1} { ! distinct_lines( line_connecting
% 1.33/1.73 ( skol2, skol1 ), line_connecting( skol3, skol2 ) ) }.
% 1.33/1.73 parent0[0]: (1177) {G3,W10,D3,L2,V0,M2} { ! distinct_points( skol2, skol1
% 1.33/1.73 ), ! distinct_lines( line_connecting( skol2, skol1 ), line_connecting(
% 1.33/1.73 skol3, skol2 ) ) }.
% 1.33/1.73 parent1[0]: (23) {G2,W3,D2,L1,V0,M1} R(20,14) { distinct_points( skol2,
% 1.33/1.73 skol1 ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (622) {G6,W7,D3,L1,V0,M1} R(618,122);f;r(23) { !
% 1.33/1.73 distinct_lines( line_connecting( skol2, skol1 ), line_connecting( skol3,
% 1.33/1.73 skol2 ) ) }.
% 1.33/1.73 parent0: (1179) {G3,W7,D3,L1,V0,M1} { ! distinct_lines( line_connecting(
% 1.33/1.73 skol2, skol1 ), line_connecting( skol3, skol2 ) ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 0
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1180) {G5,W10,D3,L2,V0,M2} { ! distinct_points( skol3, skol2
% 1.33/1.73 ), distinct_lines( line_connecting( skol2, skol1 ), line_connecting(
% 1.33/1.73 skol1, skol2 ) ) }.
% 1.33/1.73 parent0[0]: (622) {G6,W7,D3,L1,V0,M1} R(618,122);f;r(23) { ! distinct_lines
% 1.33/1.73 ( line_connecting( skol2, skol1 ), line_connecting( skol3, skol2 ) ) }.
% 1.33/1.73 parent1[1]: (324) {G4,W13,D3,L3,V2,M2} R(142,74) { ! distinct_points( skol3
% 1.33/1.73 , X ), distinct_lines( Y, line_connecting( skol3, X ) ), distinct_lines(
% 1.33/1.73 Y, line_connecting( skol1, skol2 ) ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 X := skol2
% 1.33/1.73 Y := line_connecting( skol2, skol1 )
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1181) {G2,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 1.33/1.73 skol2, skol1 ), line_connecting( skol1, skol2 ) ) }.
% 1.33/1.73 parent0[0]: (1180) {G5,W10,D3,L2,V0,M2} { ! distinct_points( skol3, skol2
% 1.33/1.73 ), distinct_lines( line_connecting( skol2, skol1 ), line_connecting(
% 1.33/1.73 skol1, skol2 ) ) }.
% 1.33/1.73 parent1[0]: (55) {G1,W3,D2,L1,V0,M1} R(7,15);r(14) { distinct_points( skol3
% 1.33/1.73 , skol2 ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (624) {G7,W7,D3,L1,V0,M1} R(622,324);r(55) { distinct_lines(
% 1.33/1.73 line_connecting( skol2, skol1 ), line_connecting( skol1, skol2 ) ) }.
% 1.33/1.73 parent0: (1181) {G2,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 1.33/1.73 skol2, skol1 ), line_connecting( skol1, skol2 ) ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 0
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1182) {G3,W10,D3,L2,V1,M2} { distinct_lines( line_connecting
% 1.33/1.73 ( skol2, skol1 ), X ), distinct_lines( X, line_connecting( skol1, skol2 )
% 1.33/1.73 ) }.
% 1.33/1.73 parent0[1]: (29) {G2,W9,D2,L3,V3,M3} R(27,4) { distinct_lines( Z, X ), !
% 1.33/1.73 distinct_lines( Z, Y ), distinct_lines( X, Y ) }.
% 1.33/1.73 parent1[0]: (624) {G7,W7,D3,L1,V0,M1} R(622,324);r(55) { distinct_lines(
% 1.33/1.73 line_connecting( skol2, skol1 ), line_connecting( skol1, skol2 ) ) }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 Y := line_connecting( skol1, skol2 )
% 1.33/1.73 Z := line_connecting( skol2, skol1 )
% 1.33/1.73 end
% 1.33/1.73 substitution1:
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 subsumption: (701) {G8,W10,D3,L2,V1,M2} R(624,29) { distinct_lines( X,
% 1.33/1.73 line_connecting( skol1, skol2 ) ), distinct_lines( line_connecting( skol2
% 1.33/1.73 , skol1 ), X ) }.
% 1.33/1.73 parent0: (1182) {G3,W10,D3,L2,V1,M2} { distinct_lines( line_connecting(
% 1.33/1.73 skol2, skol1 ), X ), distinct_lines( X, line_connecting( skol1, skol2 ) )
% 1.33/1.73 }.
% 1.33/1.73 substitution0:
% 1.33/1.73 X := X
% 1.33/1.73 end
% 1.33/1.73 permutation0:
% 1.33/1.73 0 ==> 1
% 1.33/1.73 1 ==> 0
% 1.33/1.73 end
% 1.33/1.73
% 1.33/1.73 resolution: (1183) {G7,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 1.33/1.73 skol3, skol2 ), line_connecting( skol1, skol2 ) ) }.
% 1.33/1.73 parent0[0]: (622) {G6,W7,D3,L1,V0,M1} R(618,122);f;r(23) { ! distinct_lines
% 1.33/1.73 ( line_connecting( skol2, skol1 ), line_connecting( skol3, skol2 ) ) }.
% 1.33/1.74 parent1[1]: (701) {G8,W10,D3,L2,V1,M2} R(624,29) { distinct_lines( X,
% 1.33/1.74 line_connecting( skol1, skol2 ) ), distinct_lines( line_connecting( skol2
% 1.33/1.74 , skol1 ), X ) }.
% 1.33/1.74 substitution0:
% 1.33/1.74 end
% 1.33/1.74 substitution1:
% 1.33/1.74 X := line_connecting( skol3, skol2 )
% 1.33/1.74 end
% 1.33/1.74
% 1.33/1.74 subsumption: (737) {G9,W7,D3,L1,V0,M1} R(701,622) { distinct_lines(
% 1.33/1.74 line_connecting( skol3, skol2 ), line_connecting( skol1, skol2 ) ) }.
% 1.33/1.74 parent0: (1183) {G7,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 1.33/1.74 skol3, skol2 ), line_connecting( skol1, skol2 ) ) }.
% 1.33/1.74 substitution0:
% 1.33/1.74 end
% 1.33/1.74 permutation0:
% 1.33/1.74 0 ==> 0
% 1.33/1.74 end
% 1.33/1.74
% 1.33/1.74 resolution: (1184) {G3,W13,D3,L3,V0,M3} { ! distinct_points( skol1, skol2
% 1.33/1.74 ), ! distinct_lines( line_connecting( skol3, skol2 ), line_connecting(
% 1.33/1.74 skol1, skol2 ) ), ! distinct_points( skol1, skol2 ) }.
% 1.33/1.74 parent0[1]: (121) {G2,W8,D3,L2,V2,M1} F(118);r(0) { ! distinct_points( X, Y
% 1.33/1.74 ), ! apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.33/1.74 parent1[2]: (605) {G5,W15,D3,L3,V1,M1} R(600,122) { ! distinct_lines(
% 1.33/1.74 line_connecting( skol3, skol2 ), line_connecting( X, skol2 ) ), !
% 1.33/1.74 distinct_points( X, skol2 ), apart_point_and_line( skol1, line_connecting
% 1.33/1.74 ( X, skol2 ) ) }.
% 1.33/1.74 substitution0:
% 1.33/1.74 X := skol1
% 1.33/1.74 Y := skol2
% 1.33/1.74 end
% 1.33/1.74 substitution1:
% 1.33/1.74 X := skol1
% 1.33/1.74 end
% 1.33/1.74
% 1.33/1.74 resolution: (1186) {G4,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 1.33/1.74 , ! distinct_points( skol1, skol2 ) }.
% 1.33/1.74 parent0[1]: (1184) {G3,W13,D3,L3,V0,M3} { ! distinct_points( skol1, skol2
% 1.33/1.74 ), ! distinct_lines( line_connecting( skol3, skol2 ), line_connecting(
% 1.33/1.74 skol1, skol2 ) ), ! distinct_points( skol1, skol2 ) }.
% 1.33/1.74 parent1[0]: (737) {G9,W7,D3,L1,V0,M1} R(701,622) { distinct_lines(
% 1.33/1.74 line_connecting( skol3, skol2 ), line_connecting( skol1, skol2 ) ) }.
% 1.33/1.74 substitution0:
% 1.33/1.74 end
% 1.33/1.74 substitution1:
% 1.33/1.74 end
% 1.33/1.74
% 1.33/1.74 factor: (1187) {G4,W3,D2,L1,V0,M1} { ! distinct_points( skol1, skol2 ) }.
% 1.33/1.74 parent0[0, 1]: (1186) {G4,W6,D2,L2,V0,M2} { ! distinct_points( skol1,
% 1.33/1.74 skol2 ), ! distinct_points( skol1, skol2 ) }.
% 1.33/1.74 substitution0:
% 1.33/1.74 end
% 1.33/1.74
% 1.33/1.74 subsumption: (1022) {G10,W3,D2,L1,V0,M1} R(605,121);f;r(737) { !
% 1.33/1.74 distinct_points( skol1, skol2 ) }.
% 1.33/1.74 parent0: (1187) {G4,W3,D2,L1,V0,M1} { ! distinct_points( skol1, skol2 )
% 1.33/1.74 }.
% 1.33/1.74 substitution0:
% 1.33/1.74 end
% 1.33/1.74 permutation0:
% 1.33/1.74 0 ==> 0
% 1.33/1.74 end
% 1.33/1.74
% 1.33/1.74 resolution: (1188) {G1,W0,D0,L0,V0,M0} { }.
% 1.33/1.74 parent0[0]: (1022) {G10,W3,D2,L1,V0,M1} R(605,121);f;r(737) { !
% 1.33/1.74 distinct_points( skol1, skol2 ) }.
% 1.33/1.74 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.33/1.74 }.
% 1.33/1.74 substitution0:
% 1.33/1.74 end
% 1.33/1.74 substitution1:
% 1.33/1.74 end
% 1.33/1.74
% 1.33/1.74 subsumption: (1025) {G11,W0,D0,L0,V0,M0} S(1022);r(14) { }.
% 1.33/1.74 parent0: (1188) {G1,W0,D0,L0,V0,M0} { }.
% 1.33/1.74 substitution0:
% 1.33/1.74 end
% 1.33/1.74 permutation0:
% 1.33/1.74 end
% 1.33/1.74
% 1.33/1.74 Proof check complete!
% 1.33/1.74
% 1.33/1.74 Memory use:
% 1.33/1.74
% 1.33/1.74 space for terms: 14297
% 1.33/1.74 space for clauses: 39924
% 1.33/1.74
% 1.33/1.74
% 1.33/1.74 clauses generated: 78034
% 1.33/1.74 clauses kept: 1026
% 1.33/1.74 clauses selected: 652
% 1.33/1.74 clauses deleted: 5
% 1.33/1.74 clauses inuse deleted: 0
% 1.33/1.74
% 1.33/1.74 subsentry: 117979
% 1.33/1.74 literals s-matched: 82468
% 1.33/1.74 literals matched: 82438
% 1.33/1.74 full subsumption: 69635
% 1.33/1.74
% 1.33/1.74 checksum: -257581486
% 1.33/1.74
% 1.33/1.74
% 1.33/1.74 Bliksem ended
%------------------------------------------------------------------------------