%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO189+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 02:52:29 EDT 2022
% Result : Theorem 0.72s 1.65s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO189+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sat Jun 18 08:27:47 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.72/1.65 *** allocated 10000 integers for termspace/termends
% 0.72/1.65 *** allocated 10000 integers for clauses
% 0.72/1.65 *** allocated 10000 integers for justifications
% 0.72/1.65 Bliksem 1.12
% 0.72/1.65
% 0.72/1.65
% 0.72/1.65 Automatic Strategy Selection
% 0.72/1.65
% 0.72/1.65
% 0.72/1.65 Clauses:
% 0.72/1.65
% 0.72/1.65 { ! distinct_points( X, X ) }.
% 0.72/1.65 { ! distinct_lines( X, X ) }.
% 0.72/1.65 { ! convergent_lines( X, X ) }.
% 0.72/1.65 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.72/1.65 ) }.
% 0.72/1.65 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.72/1.65 }.
% 0.72/1.65 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 0.72/1.65 , Z ) }.
% 0.72/1.65 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 0.72/1.65 , Y ) ), distinct_points( Z, X ) }.
% 0.72/1.65 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 0.72/1.65 , Y ) ), distinct_points( Z, Y ) }.
% 0.72/1.65 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, X ),
% 0.72/1.65 distinct_points( Z, intersection_point( X, Y ) ) }.
% 0.72/1.65 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, Y ),
% 0.72/1.65 distinct_points( Z, intersection_point( X, Y ) ) }.
% 0.72/1.65 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 0.72/1.65 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 0.72/1.65 apart_point_and_line( Y, T ) }.
% 0.72/1.65 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 0.72/1.65 apart_point_and_line( Z, Y ) }.
% 0.72/1.65 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 0.72/1.65 apart_point_and_line( X, Z ) }.
% 0.72/1.65 { ! convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 0.72/1.65 { distinct_points( skol1, skol2 ) }.
% 0.72/1.65 { distinct_points( skol1, skol3 ) }.
% 0.72/1.65 { distinct_points( skol2, skol3 ) }.
% 0.72/1.65 { ! apart_point_and_line( skol3, line_connecting( skol1, skol2 ) ) }.
% 0.72/1.65 { apart_point_and_line( skol2, line_connecting( skol1, skol3 ) ) }.
% 0.72/1.65
% 0.72/1.65 percentage equality = 0.000000, percentage horn = 0.684211
% 0.72/1.65 This a non-horn, non-equality problem
% 0.72/1.65
% 0.72/1.65
% 0.72/1.65 Options Used:
% 0.72/1.65
% 0.72/1.65 useres = 1
% 0.72/1.65 useparamod = 0
% 0.72/1.65 useeqrefl = 0
% 0.72/1.65 useeqfact = 0
% 0.72/1.65 usefactor = 1
% 0.72/1.65 usesimpsplitting = 0
% 0.72/1.65 usesimpdemod = 0
% 0.72/1.65 usesimpres = 3
% 0.72/1.65
% 0.72/1.65 resimpinuse = 1000
% 0.72/1.65 resimpclauses = 20000
% 0.72/1.65 substype = standard
% 0.72/1.65 backwardsubs = 1
% 0.72/1.65 selectoldest = 5
% 0.72/1.65
% 0.72/1.65 litorderings [0] = split
% 0.72/1.65 litorderings [1] = liftord
% 0.72/1.65
% 0.72/1.65 termordering = none
% 0.72/1.65
% 0.72/1.65 litapriori = 1
% 0.72/1.65 termapriori = 0
% 0.72/1.65 litaposteriori = 0
% 0.72/1.65 termaposteriori = 0
% 0.72/1.65 demodaposteriori = 0
% 0.72/1.65 ordereqreflfact = 0
% 0.72/1.65
% 0.72/1.65 litselect = none
% 0.72/1.65
% 0.72/1.65 maxweight = 15
% 0.72/1.65 maxdepth = 30000
% 0.72/1.65 maxlength = 115
% 0.72/1.65 maxnrvars = 195
% 0.72/1.65 excuselevel = 1
% 0.72/1.65 increasemaxweight = 1
% 0.72/1.65
% 0.72/1.65 maxselected = 10000000
% 0.72/1.65 maxnrclauses = 10000000
% 0.72/1.65
% 0.72/1.65 showgenerated = 0
% 0.72/1.65 showkept = 0
% 0.72/1.65 showselected = 0
% 0.72/1.65 showdeleted = 0
% 0.72/1.65 showresimp = 1
% 0.72/1.65 showstatus = 2000
% 0.72/1.65
% 0.72/1.65 prologoutput = 0
% 0.72/1.65 nrgoals = 5000000
% 0.72/1.65 totalproof = 1
% 0.72/1.65
% 0.72/1.65 Symbols occurring in the translation:
% 0.72/1.65
% 0.72/1.65 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.65 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 0.72/1.65 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.72/1.65 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.65 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.65 distinct_points [36, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.72/1.65 distinct_lines [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.72/1.65 convergent_lines [38, 2] (w:1, o:43, a:1, s:1, b:0),
% 0.72/1.65 line_connecting [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.72/1.65 apart_point_and_line [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.72/1.65 intersection_point [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.72/1.65 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.72/1.65 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.72/1.65 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.72/1.65
% 0.72/1.65
% 0.72/1.65 Starting Search:
% 0.72/1.65
% 0.72/1.65 *** allocated 15000 integers for clauses
% 0.72/1.65 *** allocated 22500 integers for clauses
% 0.72/1.65 *** allocated 33750 integers for clauses
% 0.72/1.65 *** allocated 15000 integers for termspace/termends
% 0.72/1.65
% 0.72/1.65 Bliksems!, er is een bewijs:
% 0.72/1.65 % SZS status Theorem
% 0.72/1.65 % SZS output start Refutation
% 0.72/1.65
% 0.72/1.65 (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 0.72/1.65 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 0.72/1.65 (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 0.72/1.65 ), ! distinct_points( X, Y ) }.
% 0.72/1.65 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.72/1.65 , ! distinct_lines( X, Y ) }.
% 0.72/1.65 (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ), distinct_points( Z
% 0.72/1.65 , X ), ! apart_point_and_line( Z, line_connecting( X, Y ) ) }.
% 0.72/1.65 (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ), distinct_points( Z
% 0.72/1.65 , Y ), ! apart_point_and_line( Z, line_connecting( X, Y ) ) }.
% 0.72/1.65 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 0.72/1.65 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 0.72/1.65 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 0.72/1.65 (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 0.72/1.65 ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 0.72/1.65 (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ), apart_point_and_line(
% 0.72/1.65 X, Z ), ! apart_point_and_line( X, Y ) }.
% 0.72/1.65 (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 ) }.
% 0.72/1.65 (15) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol3 ) }.
% 0.72/1.65 (16) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol2, skol3 ) }.
% 0.72/1.65 (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol3, line_connecting
% 0.72/1.65 ( skol1, skol2 ) ) }.
% 0.72/1.65 (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol2, line_connecting(
% 0.72/1.65 skol1, skol3 ) ) }.
% 0.72/1.65 (23) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 0.72/1.65 distinct_points( X, Y ) }.
% 0.72/1.65 (29) {G2,W3,D2,L1,V0,M1} R(23,16) { distinct_points( skol3, skol2 ) }.
% 0.72/1.65 (32) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 0.72/1.65 ( X, Y ) }.
% 0.72/1.65 (33) {G2,W9,D2,L3,V3,M3} R(32,4) { distinct_lines( Z, X ), ! distinct_lines
% 0.72/1.65 ( Y, Z ), distinct_lines( X, Y ) }.
% 0.72/1.65 (93) {G1,W19,D3,L5,V2,M3} R(10,17) { ! distinct_points( skol3, X ), !
% 0.72/1.65 distinct_lines( Y, line_connecting( skol1, skol2 ) ),
% 0.72/1.65 apart_point_and_line( X, line_connecting( skol1, skol2 ) ),
% 0.72/1.65 apart_point_and_line( skol3, Y ), apart_point_and_line( X, Y ) }.
% 0.72/1.65 (94) {G1,W19,D3,L5,V2,M3} R(10,17) { ! distinct_points( X, skol3 ), !
% 0.72/1.65 distinct_lines( line_connecting( skol1, skol2 ), Y ),
% 0.72/1.65 apart_point_and_line( skol3, Y ), apart_point_and_line( X,
% 0.72/1.65 line_connecting( skol1, skol2 ) ), apart_point_and_line( X, Y ) }.
% 0.72/1.65 (117) {G1,W14,D3,L4,V4,M1} R(11,7) { distinct_points( X, Y ), !
% 0.72/1.65 distinct_points( Z, T ), distinct_points( Y, T ), ! apart_point_and_line
% 0.72/1.65 ( X, line_connecting( Z, T ) ) }.
% 0.72/1.65 (118) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y ), !
% 0.72/1.65 distinct_points( Z, T ), distinct_points( Y, Z ), ! apart_point_and_line
% 0.72/1.65 ( X, line_connecting( Z, T ) ) }.
% 0.72/1.65 (121) {G2,W8,D3,L2,V2,M1} F(118);r(0) { ! distinct_points( X, Y ), !
% 0.72/1.65 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.72/1.65 (122) {G2,W8,D3,L2,V2,M1} F(117);r(0) { ! distinct_points( Y, X ), !
% 0.72/1.65 apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 0.72/1.65 (140) {G1,W8,D3,L2,V1,M1} R(12,18) { distinct_lines( line_connecting( skol1
% 0.72/1.65 , skol3 ), X ), apart_point_and_line( skol2, X ) }.
% 0.72/1.65 (145) {G3,W10,D3,L2,V1,M1} R(140,122) { ! distinct_points( X, skol2 ),
% 0.72/1.65 distinct_lines( line_connecting( skol1, skol3 ), line_connecting( X,
% 0.72/1.65 skol2 ) ) }.
% 0.72/1.65 (336) {G4,W13,D3,L3,V2,M2} R(145,33) { ! distinct_points( X, skol2 ),
% 0.72/1.65 distinct_lines( Y, line_connecting( skol1, skol3 ) ), distinct_lines(
% 0.72/1.65 line_connecting( X, skol2 ), Y ) }.
% 0.72/1.65 (590) {G3,W14,D3,L4,V1,M1} R(93,122);r(29) { ! distinct_lines( X,
% 0.72/1.65 line_connecting( skol1, skol2 ) ), apart_point_and_line( skol2, X ), !
% 0.72/1.65 distinct_points( skol1, skol2 ), apart_point_and_line( skol3, X ) }.
% 0.72/1.65 (591) {G3,W14,D3,L4,V1,M1} R(94,121);r(15) { ! distinct_lines(
% 0.72/1.65 line_connecting( skol1, skol2 ), X ), apart_point_and_line( skol1, X ), !
% 0.72/1.65 distinct_points( skol1, skol2 ), apart_point_and_line( skol3, X ) }.
% 0.72/1.65 (593) {G4,W11,D3,L3,V1,M1} S(591);r(14) { ! distinct_lines( line_connecting
% 0.72/1.65 ( skol1, skol2 ), X ), apart_point_and_line( skol1, X ),
% 0.72/1.65 apart_point_and_line( skol3, X ) }.
% 0.72/1.65 (598) {G5,W15,D3,L3,V1,M1} R(593,122) { ! distinct_lines( line_connecting(
% 0.72/1.65 skol1, skol2 ), line_connecting( X, skol3 ) ), ! distinct_points( X,
% 0.72/1.65 skol3 ), apart_point_and_line( skol1, line_connecting( X, skol3 ) ) }.
% 0.72/1.65 (614) {G4,W11,D3,L3,V1,M1} S(590);r(14) { ! distinct_lines( X,
% 0.72/1.65 line_connecting( skol1, skol2 ) ), apart_point_and_line( skol2, X ),
% 0.72/1.65 apart_point_and_line( skol3, X ) }.
% 0.72/1.65 (618) {G5,W15,D3,L3,V1,M1} R(614,121) { ! distinct_lines( line_connecting(
% 0.72/1.65 skol3, X ), line_connecting( skol1, skol2 ) ), ! distinct_points( skol3,
% 0.72/1.65 X ), apart_point_and_line( skol2, line_connecting( skol3, X ) ) }.
% 0.72/1.65 (622) {G6,W7,D3,L1,V0,M1} R(618,122);f;r(29) { ! distinct_lines(
% 0.72/1.65 line_connecting( skol3, skol2 ), line_connecting( skol1, skol2 ) ) }.
% 0.72/1.65 (624) {G7,W7,D3,L1,V0,M1} R(622,336);r(29) { distinct_lines(
% 0.72/1.65 line_connecting( skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 0.72/1.65 (869) {G8,W3,D2,L1,V0,M1} R(598,121);f;r(624) { ! distinct_points( skol1,
% 0.72/1.65 skol3 ) }.
% 0.72/1.65 (872) {G9,W0,D0,L0,V0,M0} S(869);r(15) { }.
% 0.72/1.65
% 0.72/1.65
% 0.72/1.65 % SZS output end Refutation
% 0.72/1.65 found a proof!
% 0.72/1.65
% 0.72/1.65 *** allocated 50625 integers for clauses
% 0.72/1.65
% 0.72/1.65 Unprocessed initial clauses:
% 0.72/1.65
% 0.72/1.65 (874) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.72/1.65 (875) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.72/1.65 (876) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 0.72/1.65 (877) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.72/1.65 , Z ), distinct_points( Y, Z ) }.
% 0.72/1.65 (878) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 0.72/1.65 ), distinct_lines( Y, Z ) }.
% 0.72/1.65 (879) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines(
% 0.72/1.65 X, Z ), convergent_lines( Y, Z ) }.
% 0.72/1.65 (880) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 0.72/1.65 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 0.72/1.65 ) }.
% 0.72/1.65 (881) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 0.72/1.65 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 0.72/1.65 ) }.
% 0.72/1.65 (882) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 0.72/1.65 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 0.72/1.65 Y ) ) }.
% 0.72/1.65 (883) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 0.72/1.65 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 0.72/1.65 Y ) ) }.
% 0.72/1.65 (884) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines(
% 0.72/1.65 Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 0.72/1.65 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 0.72/1.65 (885) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.72/1.65 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 0.72/1.65 (886) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ), distinct_lines
% 0.72/1.65 ( Y, Z ), apart_point_and_line( X, Z ) }.
% 0.72/1.65 (887) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ), distinct_lines( X
% 0.72/1.65 , Y ) }.
% 0.72/1.65 (888) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 0.72/1.65 (889) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol3 ) }.
% 0.72/1.65 (890) {G0,W3,D2,L1,V0,M1} { distinct_points( skol2, skol3 ) }.
% 0.72/1.65 (891) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( skol3, line_connecting
% 0.72/1.65 ( skol1, skol2 ) ) }.
% 0.72/1.65 (892) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( skol2, line_connecting(
% 0.72/1.65 skol1, skol3 ) ) }.
% 0.72/1.65
% 0.72/1.65
% 0.72/1.65 Total Proof:
% 0.72/1.65
% 0.72/1.65 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 0.72/1.65 parent0: (874) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 0
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 0.72/1.65 parent0: (875) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 0
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 0.72/1.65 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 0.72/1.65 parent0: (877) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ),
% 0.72/1.65 distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 Y := Y
% 0.72/1.65 Z := Z
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 2
% 0.72/1.65 1 ==> 0
% 0.72/1.65 2 ==> 1
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 0.72/1.65 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 0.72/1.65 parent0: (878) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 0.72/1.65 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 Y := Y
% 0.72/1.65 Z := Z
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 2
% 0.72/1.65 1 ==> 0
% 0.72/1.65 2 ==> 1
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 0.72/1.65 distinct_points( Z, X ), ! apart_point_and_line( Z, line_connecting( X, Y
% 0.72/1.65 ) ) }.
% 0.72/1.65 parent0: (880) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 0.72/1.65 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 0.72/1.65 ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 Y := Y
% 0.72/1.65 Z := Z
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 0
% 0.72/1.65 1 ==> 2
% 0.72/1.65 2 ==> 1
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 0.72/1.65 distinct_points( Z, Y ), ! apart_point_and_line( Z, line_connecting( X, Y
% 0.72/1.65 ) ) }.
% 0.72/1.65 parent0: (881) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 0.72/1.65 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 0.72/1.65 ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 Y := Y
% 0.72/1.65 Z := Z
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 0
% 0.72/1.65 1 ==> 2
% 0.72/1.65 2 ==> 1
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 0.72/1.65 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 0.72/1.65 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 0.72/1.65 apart_point_and_line( X, Z ) }.
% 0.72/1.65 parent0: (884) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 0.72/1.65 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 0.72/1.65 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 0.72/1.65 apart_point_and_line( Y, T ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 Y := Y
% 0.72/1.65 Z := Z
% 0.72/1.65 T := T
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 0
% 0.72/1.65 1 ==> 1
% 0.72/1.65 2 ==> 5
% 0.72/1.65 3 ==> 2
% 0.72/1.65 4 ==> 3
% 0.72/1.65 5 ==> 4
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 0.72/1.65 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 0.72/1.65 parent0: (885) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.72/1.65 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 Y := Y
% 0.72/1.65 Z := Z
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 2
% 0.72/1.65 1 ==> 0
% 0.72/1.65 2 ==> 1
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 0.72/1.65 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 0.72/1.65 parent0: (886) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.72/1.65 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 Y := Y
% 0.72/1.65 Z := Z
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 2
% 0.72/1.65 1 ==> 0
% 0.72/1.65 2 ==> 1
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 0.72/1.65 }.
% 0.72/1.65 parent0: (888) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 0
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (15) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol3 )
% 0.72/1.65 }.
% 0.72/1.65 parent0: (889) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol3 ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 0
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (16) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol2, skol3 )
% 0.72/1.65 }.
% 0.72/1.65 parent0: (890) {G0,W3,D2,L1,V0,M1} { distinct_points( skol2, skol3 ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 0
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol3,
% 0.72/1.65 line_connecting( skol1, skol2 ) ) }.
% 0.72/1.65 parent0: (891) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( skol3,
% 0.72/1.65 line_connecting( skol1, skol2 ) ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 0
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol2,
% 0.72/1.65 line_connecting( skol1, skol3 ) ) }.
% 0.72/1.65 parent0: (892) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( skol2,
% 0.72/1.65 line_connecting( skol1, skol3 ) ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 0
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (974) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 0.72/1.65 distinct_points( X, Y ) }.
% 0.72/1.65 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 0.72/1.65 parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 0.72/1.65 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 X := X
% 0.72/1.65 Y := Y
% 0.72/1.65 Z := X
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (23) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 0.72/1.65 distinct_points( X, Y ) }.
% 0.72/1.65 parent0: (974) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 0.72/1.65 distinct_points( X, Y ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := Y
% 0.72/1.65 Y := X
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 1
% 0.72/1.65 1 ==> 0
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (976) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol2 )
% 0.72/1.65 }.
% 0.72/1.65 parent0[0]: (23) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 0.72/1.65 distinct_points( X, Y ) }.
% 0.72/1.65 parent1[0]: (16) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol2, skol3 )
% 0.72/1.65 }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := skol3
% 0.72/1.65 Y := skol2
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (29) {G2,W3,D2,L1,V0,M1} R(23,16) { distinct_points( skol3,
% 0.72/1.65 skol2 ) }.
% 0.72/1.65 parent0: (976) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol2 ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 0
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (977) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 0.72/1.65 distinct_lines( X, Y ) }.
% 0.72/1.65 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 0.72/1.65 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 0.72/1.65 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 X := X
% 0.72/1.65 Y := Y
% 0.72/1.65 Z := X
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (32) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 0.72/1.65 distinct_lines( X, Y ) }.
% 0.72/1.65 parent0: (977) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 0.72/1.65 distinct_lines( X, Y ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := Y
% 0.72/1.65 Y := X
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 1
% 0.72/1.65 1 ==> 0
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (979) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ),
% 0.72/1.65 distinct_lines( Z, Y ), ! distinct_lines( X, Z ) }.
% 0.72/1.65 parent0[0]: (32) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 0.72/1.65 distinct_lines( X, Y ) }.
% 0.72/1.65 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 0.72/1.65 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := Y
% 0.72/1.65 Y := X
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 X := X
% 0.72/1.65 Y := Z
% 0.72/1.65 Z := Y
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (33) {G2,W9,D2,L3,V3,M3} R(32,4) { distinct_lines( Z, X ), !
% 0.72/1.65 distinct_lines( Y, Z ), distinct_lines( X, Y ) }.
% 0.72/1.65 parent0: (979) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ),
% 0.72/1.65 distinct_lines( Z, Y ), ! distinct_lines( X, Z ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := Y
% 0.72/1.65 Y := X
% 0.72/1.65 Z := Z
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 2
% 0.72/1.65 1 ==> 0
% 0.72/1.65 2 ==> 1
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (982) {G1,W19,D3,L5,V2,M5} { ! distinct_points( skol3, X ), !
% 0.72/1.65 distinct_lines( Y, line_connecting( skol1, skol2 ) ),
% 0.72/1.65 apart_point_and_line( X, Y ), apart_point_and_line( X, line_connecting(
% 0.72/1.65 skol1, skol2 ) ), apart_point_and_line( skol3, Y ) }.
% 0.72/1.65 parent0[0]: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol3,
% 0.72/1.65 line_connecting( skol1, skol2 ) ) }.
% 0.72/1.65 parent1[2]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 0.72/1.65 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 0.72/1.65 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 0.72/1.65 apart_point_and_line( X, Z ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 X := skol3
% 0.72/1.65 Y := X
% 0.72/1.65 Z := Y
% 0.72/1.65 T := line_connecting( skol1, skol2 )
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (93) {G1,W19,D3,L5,V2,M3} R(10,17) { ! distinct_points( skol3
% 0.72/1.65 , X ), ! distinct_lines( Y, line_connecting( skol1, skol2 ) ),
% 0.72/1.65 apart_point_and_line( X, line_connecting( skol1, skol2 ) ),
% 0.72/1.65 apart_point_and_line( skol3, Y ), apart_point_and_line( X, Y ) }.
% 0.72/1.65 parent0: (982) {G1,W19,D3,L5,V2,M5} { ! distinct_points( skol3, X ), !
% 0.72/1.65 distinct_lines( Y, line_connecting( skol1, skol2 ) ),
% 0.72/1.65 apart_point_and_line( X, Y ), apart_point_and_line( X, line_connecting(
% 0.72/1.65 skol1, skol2 ) ), apart_point_and_line( skol3, Y ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 Y := Y
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 0
% 0.72/1.65 1 ==> 1
% 0.72/1.65 2 ==> 4
% 0.72/1.65 3 ==> 2
% 0.72/1.65 4 ==> 3
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (992) {G1,W19,D3,L5,V2,M5} { ! distinct_points( X, skol3 ), !
% 0.72/1.65 distinct_lines( line_connecting( skol1, skol2 ), Y ),
% 0.72/1.65 apart_point_and_line( X, Y ), apart_point_and_line( skol3, Y ),
% 0.72/1.65 apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 0.72/1.65 parent0[0]: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol3,
% 0.72/1.65 line_connecting( skol1, skol2 ) ) }.
% 0.72/1.65 parent1[3]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 0.72/1.65 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 0.72/1.65 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 0.72/1.65 apart_point_and_line( X, Z ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 X := X
% 0.72/1.65 Y := skol3
% 0.72/1.65 Z := line_connecting( skol1, skol2 )
% 0.72/1.65 T := Y
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (94) {G1,W19,D3,L5,V2,M3} R(10,17) { ! distinct_points( X,
% 0.72/1.65 skol3 ), ! distinct_lines( line_connecting( skol1, skol2 ), Y ),
% 0.72/1.65 apart_point_and_line( skol3, Y ), apart_point_and_line( X,
% 0.72/1.65 line_connecting( skol1, skol2 ) ), apart_point_and_line( X, Y ) }.
% 0.72/1.65 parent0: (992) {G1,W19,D3,L5,V2,M5} { ! distinct_points( X, skol3 ), !
% 0.72/1.65 distinct_lines( line_connecting( skol1, skol2 ), Y ),
% 0.72/1.65 apart_point_and_line( X, Y ), apart_point_and_line( skol3, Y ),
% 0.72/1.65 apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 Y := Y
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 0
% 0.72/1.65 1 ==> 1
% 0.72/1.65 2 ==> 4
% 0.72/1.65 3 ==> 2
% 0.72/1.65 4 ==> 3
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (1001) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 0.72/1.65 distinct_points( Z, Y ), distinct_points( T, Z ), ! apart_point_and_line
% 0.72/1.65 ( T, line_connecting( X, Y ) ) }.
% 0.72/1.65 parent0[2]: (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 0.72/1.65 distinct_points( Z, Y ), ! apart_point_and_line( Z, line_connecting( X, Y
% 0.72/1.65 ) ) }.
% 0.72/1.65 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 0.72/1.65 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 Y := Y
% 0.72/1.65 Z := Z
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 X := T
% 0.72/1.65 Y := line_connecting( X, Y )
% 0.72/1.65 Z := Z
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (117) {G1,W14,D3,L4,V4,M1} R(11,7) { distinct_points( X, Y ),
% 0.72/1.65 ! distinct_points( Z, T ), distinct_points( Y, T ), !
% 0.72/1.65 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 0.72/1.65 parent0: (1001) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 0.72/1.65 distinct_points( Z, Y ), distinct_points( T, Z ), ! apart_point_and_line
% 0.72/1.65 ( T, line_connecting( X, Y ) ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := Z
% 0.72/1.65 Y := T
% 0.72/1.65 Z := Y
% 0.72/1.65 T := X
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 1
% 0.72/1.65 1 ==> 2
% 0.72/1.65 2 ==> 0
% 0.72/1.65 3 ==> 3
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (1005) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 0.72/1.65 distinct_points( Z, X ), distinct_points( T, Z ), ! apart_point_and_line
% 0.72/1.65 ( T, line_connecting( X, Y ) ) }.
% 0.72/1.65 parent0[2]: (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 0.72/1.65 distinct_points( Z, X ), ! apart_point_and_line( Z, line_connecting( X, Y
% 0.72/1.65 ) ) }.
% 0.72/1.65 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 0.72/1.65 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 Y := Y
% 0.72/1.65 Z := Z
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 X := T
% 0.72/1.65 Y := line_connecting( X, Y )
% 0.72/1.65 Z := Z
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (118) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y ),
% 0.72/1.65 ! distinct_points( Z, T ), distinct_points( Y, Z ), !
% 0.72/1.65 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 0.72/1.65 parent0: (1005) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 0.72/1.65 distinct_points( Z, X ), distinct_points( T, Z ), ! apart_point_and_line
% 0.72/1.65 ( T, line_connecting( X, Y ) ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := Z
% 0.72/1.65 Y := T
% 0.72/1.65 Z := Y
% 0.72/1.65 T := X
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 1
% 0.72/1.65 1 ==> 2
% 0.72/1.65 2 ==> 0
% 0.72/1.65 3 ==> 3
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 factor: (1008) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 0.72/1.65 distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X, Y
% 0.72/1.65 ) ) }.
% 0.72/1.65 parent0[0, 2]: (118) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y )
% 0.72/1.65 , ! distinct_points( Z, T ), distinct_points( Y, Z ), !
% 0.72/1.65 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 Y := X
% 0.72/1.65 Z := X
% 0.72/1.65 T := Y
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (1009) {G1,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.72/1.65 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.72/1.65 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 0.72/1.65 parent1[0]: (1008) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 0.72/1.65 distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X, Y
% 0.72/1.65 ) ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 X := X
% 0.72/1.65 Y := Y
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (121) {G2,W8,D3,L2,V2,M1} F(118);r(0) { ! distinct_points( X,
% 0.72/1.65 Y ), ! apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.72/1.65 parent0: (1009) {G1,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.72/1.65 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 Y := Y
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 0
% 0.72/1.65 1 ==> 1
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 factor: (1010) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 0.72/1.65 distinct_points( Y, X ), ! apart_point_and_line( X, line_connecting( Y, X
% 0.72/1.65 ) ) }.
% 0.72/1.65 parent0[0, 2]: (117) {G1,W14,D3,L4,V4,M1} R(11,7) { distinct_points( X, Y )
% 0.72/1.65 , ! distinct_points( Z, T ), distinct_points( Y, T ), !
% 0.72/1.65 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 Y := X
% 0.72/1.65 Z := Y
% 0.72/1.65 T := X
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (1011) {G1,W8,D3,L2,V2,M2} { ! distinct_points( Y, X ), !
% 0.72/1.65 apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 0.72/1.65 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 0.72/1.65 parent1[0]: (1010) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 0.72/1.65 distinct_points( Y, X ), ! apart_point_and_line( X, line_connecting( Y, X
% 0.72/1.65 ) ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 X := X
% 0.72/1.65 Y := Y
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (122) {G2,W8,D3,L2,V2,M1} F(117);r(0) { ! distinct_points( Y,
% 0.72/1.65 X ), ! apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 0.72/1.65 parent0: (1011) {G1,W8,D3,L2,V2,M2} { ! distinct_points( Y, X ), !
% 0.72/1.65 apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 Y := Y
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 0
% 0.72/1.65 1 ==> 1
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (1012) {G1,W8,D3,L2,V1,M2} { distinct_lines( line_connecting(
% 0.72/1.65 skol1, skol3 ), X ), apart_point_and_line( skol2, X ) }.
% 0.72/1.65 parent0[2]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 0.72/1.65 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 0.72/1.65 parent1[0]: (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol2,
% 0.72/1.65 line_connecting( skol1, skol3 ) ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := skol2
% 0.72/1.65 Y := line_connecting( skol1, skol3 )
% 0.72/1.65 Z := X
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (140) {G1,W8,D3,L2,V1,M1} R(12,18) { distinct_lines(
% 0.72/1.65 line_connecting( skol1, skol3 ), X ), apart_point_and_line( skol2, X )
% 0.72/1.65 }.
% 0.72/1.65 parent0: (1012) {G1,W8,D3,L2,V1,M2} { distinct_lines( line_connecting(
% 0.72/1.65 skol1, skol3 ), X ), apart_point_and_line( skol2, X ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 0
% 0.72/1.65 1 ==> 1
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (1013) {G2,W10,D3,L2,V1,M2} { ! distinct_points( X, skol2 ),
% 0.72/1.65 distinct_lines( line_connecting( skol1, skol3 ), line_connecting( X,
% 0.72/1.65 skol2 ) ) }.
% 0.72/1.65 parent0[1]: (122) {G2,W8,D3,L2,V2,M1} F(117);r(0) { ! distinct_points( Y, X
% 0.72/1.65 ), ! apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 0.72/1.65 parent1[1]: (140) {G1,W8,D3,L2,V1,M1} R(12,18) { distinct_lines(
% 0.72/1.65 line_connecting( skol1, skol3 ), X ), apart_point_and_line( skol2, X )
% 0.72/1.65 }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := skol2
% 0.72/1.65 Y := X
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 X := line_connecting( X, skol2 )
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (145) {G3,W10,D3,L2,V1,M1} R(140,122) { ! distinct_points( X,
% 0.72/1.65 skol2 ), distinct_lines( line_connecting( skol1, skol3 ), line_connecting
% 0.72/1.65 ( X, skol2 ) ) }.
% 0.72/1.65 parent0: (1013) {G2,W10,D3,L2,V1,M2} { ! distinct_points( X, skol2 ),
% 0.72/1.65 distinct_lines( line_connecting( skol1, skol3 ), line_connecting( X,
% 0.72/1.65 skol2 ) ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 0
% 0.72/1.65 1 ==> 1
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (1014) {G3,W13,D3,L3,V2,M3} { distinct_lines( line_connecting
% 0.72/1.65 ( X, skol2 ), Y ), distinct_lines( Y, line_connecting( skol1, skol3 ) ),
% 0.72/1.65 ! distinct_points( X, skol2 ) }.
% 0.72/1.65 parent0[1]: (33) {G2,W9,D2,L3,V3,M3} R(32,4) { distinct_lines( Z, X ), !
% 0.72/1.65 distinct_lines( Y, Z ), distinct_lines( X, Y ) }.
% 0.72/1.65 parent1[1]: (145) {G3,W10,D3,L2,V1,M1} R(140,122) { ! distinct_points( X,
% 0.72/1.65 skol2 ), distinct_lines( line_connecting( skol1, skol3 ), line_connecting
% 0.72/1.65 ( X, skol2 ) ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := Y
% 0.72/1.65 Y := line_connecting( skol1, skol3 )
% 0.72/1.65 Z := line_connecting( X, skol2 )
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 X := X
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (336) {G4,W13,D3,L3,V2,M2} R(145,33) { ! distinct_points( X,
% 0.72/1.65 skol2 ), distinct_lines( Y, line_connecting( skol1, skol3 ) ),
% 0.72/1.65 distinct_lines( line_connecting( X, skol2 ), Y ) }.
% 0.72/1.65 parent0: (1014) {G3,W13,D3,L3,V2,M3} { distinct_lines( line_connecting( X
% 0.72/1.65 , skol2 ), Y ), distinct_lines( Y, line_connecting( skol1, skol3 ) ), !
% 0.72/1.65 distinct_points( X, skol2 ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 Y := Y
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 2
% 0.72/1.65 1 ==> 1
% 0.72/1.65 2 ==> 0
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (1015) {G2,W17,D3,L5,V1,M5} { ! distinct_points( skol1, skol2
% 0.72/1.65 ), ! distinct_points( skol3, skol2 ), ! distinct_lines( X,
% 0.72/1.65 line_connecting( skol1, skol2 ) ), apart_point_and_line( skol3, X ),
% 0.72/1.65 apart_point_and_line( skol2, X ) }.
% 0.72/1.65 parent0[1]: (122) {G2,W8,D3,L2,V2,M1} F(117);r(0) { ! distinct_points( Y, X
% 0.72/1.65 ), ! apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 0.72/1.65 parent1[2]: (93) {G1,W19,D3,L5,V2,M3} R(10,17) { ! distinct_points( skol3,
% 0.72/1.65 X ), ! distinct_lines( Y, line_connecting( skol1, skol2 ) ),
% 0.72/1.65 apart_point_and_line( X, line_connecting( skol1, skol2 ) ),
% 0.72/1.65 apart_point_and_line( skol3, Y ), apart_point_and_line( X, Y ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := skol2
% 0.72/1.65 Y := skol1
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 X := skol2
% 0.72/1.65 Y := X
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (1019) {G3,W14,D3,L4,V1,M4} { ! distinct_points( skol1, skol2
% 0.72/1.65 ), ! distinct_lines( X, line_connecting( skol1, skol2 ) ),
% 0.72/1.65 apart_point_and_line( skol3, X ), apart_point_and_line( skol2, X ) }.
% 0.72/1.65 parent0[1]: (1015) {G2,W17,D3,L5,V1,M5} { ! distinct_points( skol1, skol2
% 0.72/1.65 ), ! distinct_points( skol3, skol2 ), ! distinct_lines( X,
% 0.72/1.65 line_connecting( skol1, skol2 ) ), apart_point_and_line( skol3, X ),
% 0.72/1.65 apart_point_and_line( skol2, X ) }.
% 0.72/1.65 parent1[0]: (29) {G2,W3,D2,L1,V0,M1} R(23,16) { distinct_points( skol3,
% 0.72/1.65 skol2 ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (590) {G3,W14,D3,L4,V1,M1} R(93,122);r(29) { ! distinct_lines
% 0.72/1.65 ( X, line_connecting( skol1, skol2 ) ), apart_point_and_line( skol2, X )
% 0.72/1.65 , ! distinct_points( skol1, skol2 ), apart_point_and_line( skol3, X ) }.
% 0.72/1.65 parent0: (1019) {G3,W14,D3,L4,V1,M4} { ! distinct_points( skol1, skol2 ),
% 0.72/1.65 ! distinct_lines( X, line_connecting( skol1, skol2 ) ),
% 0.72/1.65 apart_point_and_line( skol3, X ), apart_point_and_line( skol2, X ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 2
% 0.72/1.65 1 ==> 0
% 0.72/1.65 2 ==> 3
% 0.72/1.65 3 ==> 1
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (1021) {G2,W17,D3,L5,V1,M5} { ! distinct_points( skol1, skol2
% 0.72/1.65 ), ! distinct_points( skol1, skol3 ), ! distinct_lines( line_connecting
% 0.72/1.65 ( skol1, skol2 ), X ), apart_point_and_line( skol3, X ),
% 0.72/1.65 apart_point_and_line( skol1, X ) }.
% 0.72/1.65 parent0[1]: (121) {G2,W8,D3,L2,V2,M1} F(118);r(0) { ! distinct_points( X, Y
% 0.72/1.65 ), ! apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.72/1.65 parent1[3]: (94) {G1,W19,D3,L5,V2,M3} R(10,17) { ! distinct_points( X,
% 0.72/1.65 skol3 ), ! distinct_lines( line_connecting( skol1, skol2 ), Y ),
% 0.72/1.65 apart_point_and_line( skol3, Y ), apart_point_and_line( X,
% 0.72/1.65 line_connecting( skol1, skol2 ) ), apart_point_and_line( X, Y ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := skol1
% 0.72/1.65 Y := skol2
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 X := skol1
% 0.72/1.65 Y := X
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (1024) {G1,W14,D3,L4,V1,M4} { ! distinct_points( skol1, skol2
% 0.72/1.65 ), ! distinct_lines( line_connecting( skol1, skol2 ), X ),
% 0.72/1.65 apart_point_and_line( skol3, X ), apart_point_and_line( skol1, X ) }.
% 0.72/1.65 parent0[1]: (1021) {G2,W17,D3,L5,V1,M5} { ! distinct_points( skol1, skol2
% 0.72/1.65 ), ! distinct_points( skol1, skol3 ), ! distinct_lines( line_connecting
% 0.72/1.65 ( skol1, skol2 ), X ), apart_point_and_line( skol3, X ),
% 0.72/1.65 apart_point_and_line( skol1, X ) }.
% 0.72/1.65 parent1[0]: (15) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol3 )
% 0.72/1.65 }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (591) {G3,W14,D3,L4,V1,M1} R(94,121);r(15) { ! distinct_lines
% 0.72/1.65 ( line_connecting( skol1, skol2 ), X ), apart_point_and_line( skol1, X )
% 0.72/1.65 , ! distinct_points( skol1, skol2 ), apart_point_and_line( skol3, X ) }.
% 0.72/1.65 parent0: (1024) {G1,W14,D3,L4,V1,M4} { ! distinct_points( skol1, skol2 ),
% 0.72/1.65 ! distinct_lines( line_connecting( skol1, skol2 ), X ),
% 0.72/1.65 apart_point_and_line( skol3, X ), apart_point_and_line( skol1, X ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 2
% 0.72/1.65 1 ==> 0
% 0.72/1.65 2 ==> 3
% 0.72/1.65 3 ==> 1
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (1025) {G1,W11,D3,L3,V1,M3} { ! distinct_lines(
% 0.72/1.65 line_connecting( skol1, skol2 ), X ), apart_point_and_line( skol1, X ),
% 0.72/1.65 apart_point_and_line( skol3, X ) }.
% 0.72/1.65 parent0[2]: (591) {G3,W14,D3,L4,V1,M1} R(94,121);r(15) { ! distinct_lines(
% 0.72/1.65 line_connecting( skol1, skol2 ), X ), apart_point_and_line( skol1, X ), !
% 0.72/1.65 distinct_points( skol1, skol2 ), apart_point_and_line( skol3, X ) }.
% 0.72/1.65 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 0.72/1.65 }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (593) {G4,W11,D3,L3,V1,M1} S(591);r(14) { ! distinct_lines(
% 0.72/1.65 line_connecting( skol1, skol2 ), X ), apart_point_and_line( skol1, X ),
% 0.72/1.65 apart_point_and_line( skol3, X ) }.
% 0.72/1.65 parent0: (1025) {G1,W11,D3,L3,V1,M3} { ! distinct_lines( line_connecting(
% 0.72/1.65 skol1, skol2 ), X ), apart_point_and_line( skol1, X ),
% 0.72/1.65 apart_point_and_line( skol3, X ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 0
% 0.72/1.65 1 ==> 1
% 0.72/1.65 2 ==> 2
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (1027) {G3,W15,D3,L3,V1,M3} { ! distinct_points( X, skol3 ), !
% 0.72/1.65 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( X,
% 0.72/1.65 skol3 ) ), apart_point_and_line( skol1, line_connecting( X, skol3 ) ) }.
% 0.72/1.65 parent0[1]: (122) {G2,W8,D3,L2,V2,M1} F(117);r(0) { ! distinct_points( Y, X
% 0.72/1.65 ), ! apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 0.72/1.65 parent1[2]: (593) {G4,W11,D3,L3,V1,M1} S(591);r(14) { ! distinct_lines(
% 0.72/1.65 line_connecting( skol1, skol2 ), X ), apart_point_and_line( skol1, X ),
% 0.72/1.65 apart_point_and_line( skol3, X ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := skol3
% 0.72/1.65 Y := X
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 X := line_connecting( X, skol3 )
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (598) {G5,W15,D3,L3,V1,M1} R(593,122) { ! distinct_lines(
% 0.72/1.65 line_connecting( skol1, skol2 ), line_connecting( X, skol3 ) ), !
% 0.72/1.65 distinct_points( X, skol3 ), apart_point_and_line( skol1, line_connecting
% 0.72/1.65 ( X, skol3 ) ) }.
% 0.72/1.65 parent0: (1027) {G3,W15,D3,L3,V1,M3} { ! distinct_points( X, skol3 ), !
% 0.72/1.65 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( X,
% 0.72/1.65 skol3 ) ), apart_point_and_line( skol1, line_connecting( X, skol3 ) ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 1
% 0.72/1.65 1 ==> 0
% 0.72/1.65 2 ==> 2
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (1028) {G1,W11,D3,L3,V1,M3} { ! distinct_lines( X,
% 0.72/1.65 line_connecting( skol1, skol2 ) ), apart_point_and_line( skol2, X ),
% 0.72/1.65 apart_point_and_line( skol3, X ) }.
% 0.72/1.65 parent0[2]: (590) {G3,W14,D3,L4,V1,M1} R(93,122);r(29) { ! distinct_lines(
% 0.72/1.65 X, line_connecting( skol1, skol2 ) ), apart_point_and_line( skol2, X ), !
% 0.72/1.65 distinct_points( skol1, skol2 ), apart_point_and_line( skol3, X ) }.
% 0.72/1.65 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 0.72/1.65 }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (614) {G4,W11,D3,L3,V1,M1} S(590);r(14) { ! distinct_lines( X
% 0.72/1.65 , line_connecting( skol1, skol2 ) ), apart_point_and_line( skol2, X ),
% 0.72/1.65 apart_point_and_line( skol3, X ) }.
% 0.72/1.65 parent0: (1028) {G1,W11,D3,L3,V1,M3} { ! distinct_lines( X,
% 0.72/1.65 line_connecting( skol1, skol2 ) ), apart_point_and_line( skol2, X ),
% 0.72/1.65 apart_point_and_line( skol3, X ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 0
% 0.72/1.65 1 ==> 1
% 0.72/1.65 2 ==> 2
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (1030) {G3,W15,D3,L3,V1,M3} { ! distinct_points( skol3, X ), !
% 0.72/1.65 distinct_lines( line_connecting( skol3, X ), line_connecting( skol1,
% 0.72/1.65 skol2 ) ), apart_point_and_line( skol2, line_connecting( skol3, X ) ) }.
% 0.72/1.65 parent0[1]: (121) {G2,W8,D3,L2,V2,M1} F(118);r(0) { ! distinct_points( X, Y
% 0.72/1.65 ), ! apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.72/1.65 parent1[2]: (614) {G4,W11,D3,L3,V1,M1} S(590);r(14) { ! distinct_lines( X,
% 0.72/1.65 line_connecting( skol1, skol2 ) ), apart_point_and_line( skol2, X ),
% 0.72/1.65 apart_point_and_line( skol3, X ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := skol3
% 0.72/1.65 Y := X
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 X := line_connecting( skol3, X )
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (618) {G5,W15,D3,L3,V1,M1} R(614,121) { ! distinct_lines(
% 0.72/1.65 line_connecting( skol3, X ), line_connecting( skol1, skol2 ) ), !
% 0.72/1.65 distinct_points( skol3, X ), apart_point_and_line( skol2, line_connecting
% 0.72/1.65 ( skol3, X ) ) }.
% 0.72/1.65 parent0: (1030) {G3,W15,D3,L3,V1,M3} { ! distinct_points( skol3, X ), !
% 0.72/1.65 distinct_lines( line_connecting( skol3, X ), line_connecting( skol1,
% 0.72/1.65 skol2 ) ), apart_point_and_line( skol2, line_connecting( skol3, X ) ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := X
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 1
% 0.72/1.65 1 ==> 0
% 0.72/1.65 2 ==> 2
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (1031) {G3,W13,D3,L3,V0,M3} { ! distinct_points( skol3, skol2
% 0.72/1.65 ), ! distinct_lines( line_connecting( skol3, skol2 ), line_connecting(
% 0.72/1.65 skol1, skol2 ) ), ! distinct_points( skol3, skol2 ) }.
% 0.72/1.65 parent0[1]: (122) {G2,W8,D3,L2,V2,M1} F(117);r(0) { ! distinct_points( Y, X
% 0.72/1.65 ), ! apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 0.72/1.65 parent1[2]: (618) {G5,W15,D3,L3,V1,M1} R(614,121) { ! distinct_lines(
% 0.72/1.65 line_connecting( skol3, X ), line_connecting( skol1, skol2 ) ), !
% 0.72/1.65 distinct_points( skol3, X ), apart_point_and_line( skol2, line_connecting
% 0.72/1.65 ( skol3, X ) ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := skol2
% 0.72/1.65 Y := skol3
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 X := skol2
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 factor: (1032) {G3,W10,D3,L2,V0,M2} { ! distinct_points( skol3, skol2 ), !
% 0.72/1.65 distinct_lines( line_connecting( skol3, skol2 ), line_connecting( skol1
% 0.72/1.65 , skol2 ) ) }.
% 0.72/1.65 parent0[0, 2]: (1031) {G3,W13,D3,L3,V0,M3} { ! distinct_points( skol3,
% 0.72/1.65 skol2 ), ! distinct_lines( line_connecting( skol3, skol2 ),
% 0.72/1.65 line_connecting( skol1, skol2 ) ), ! distinct_points( skol3, skol2 ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (1034) {G3,W7,D3,L1,V0,M1} { ! distinct_lines( line_connecting
% 0.72/1.65 ( skol3, skol2 ), line_connecting( skol1, skol2 ) ) }.
% 0.72/1.65 parent0[0]: (1032) {G3,W10,D3,L2,V0,M2} { ! distinct_points( skol3, skol2
% 0.72/1.65 ), ! distinct_lines( line_connecting( skol3, skol2 ), line_connecting(
% 0.72/1.65 skol1, skol2 ) ) }.
% 0.72/1.65 parent1[0]: (29) {G2,W3,D2,L1,V0,M1} R(23,16) { distinct_points( skol3,
% 0.72/1.65 skol2 ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (622) {G6,W7,D3,L1,V0,M1} R(618,122);f;r(29) { !
% 0.72/1.65 distinct_lines( line_connecting( skol3, skol2 ), line_connecting( skol1,
% 0.72/1.65 skol2 ) ) }.
% 0.72/1.65 parent0: (1034) {G3,W7,D3,L1,V0,M1} { ! distinct_lines( line_connecting(
% 0.72/1.65 skol3, skol2 ), line_connecting( skol1, skol2 ) ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 0
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (1035) {G5,W10,D3,L2,V0,M2} { ! distinct_points( skol3, skol2
% 0.72/1.65 ), distinct_lines( line_connecting( skol1, skol2 ), line_connecting(
% 0.72/1.65 skol1, skol3 ) ) }.
% 0.72/1.65 parent0[0]: (622) {G6,W7,D3,L1,V0,M1} R(618,122);f;r(29) { ! distinct_lines
% 0.72/1.65 ( line_connecting( skol3, skol2 ), line_connecting( skol1, skol2 ) ) }.
% 0.72/1.65 parent1[2]: (336) {G4,W13,D3,L3,V2,M2} R(145,33) { ! distinct_points( X,
% 0.72/1.65 skol2 ), distinct_lines( Y, line_connecting( skol1, skol3 ) ),
% 0.72/1.65 distinct_lines( line_connecting( X, skol2 ), Y ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 X := skol3
% 0.72/1.65 Y := line_connecting( skol1, skol2 )
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (1036) {G3,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 0.72/1.65 skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 0.72/1.65 parent0[0]: (1035) {G5,W10,D3,L2,V0,M2} { ! distinct_points( skol3, skol2
% 0.72/1.65 ), distinct_lines( line_connecting( skol1, skol2 ), line_connecting(
% 0.72/1.65 skol1, skol3 ) ) }.
% 0.72/1.65 parent1[0]: (29) {G2,W3,D2,L1,V0,M1} R(23,16) { distinct_points( skol3,
% 0.72/1.65 skol2 ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (624) {G7,W7,D3,L1,V0,M1} R(622,336);r(29) { distinct_lines(
% 0.72/1.65 line_connecting( skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 0.72/1.65 parent0: (1036) {G3,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 0.72/1.65 skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 0
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (1037) {G3,W13,D3,L3,V0,M3} { ! distinct_points( skol1, skol3
% 0.72/1.65 ), ! distinct_lines( line_connecting( skol1, skol2 ), line_connecting(
% 0.72/1.65 skol1, skol3 ) ), ! distinct_points( skol1, skol3 ) }.
% 0.72/1.65 parent0[1]: (121) {G2,W8,D3,L2,V2,M1} F(118);r(0) { ! distinct_points( X, Y
% 0.72/1.65 ), ! apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.72/1.65 parent1[2]: (598) {G5,W15,D3,L3,V1,M1} R(593,122) { ! distinct_lines(
% 0.72/1.65 line_connecting( skol1, skol2 ), line_connecting( X, skol3 ) ), !
% 0.72/1.65 distinct_points( X, skol3 ), apart_point_and_line( skol1, line_connecting
% 0.72/1.65 ( X, skol3 ) ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 X := skol1
% 0.72/1.65 Y := skol3
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 X := skol1
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (1039) {G4,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol3 )
% 0.72/1.65 , ! distinct_points( skol1, skol3 ) }.
% 0.72/1.65 parent0[1]: (1037) {G3,W13,D3,L3,V0,M3} { ! distinct_points( skol1, skol3
% 0.72/1.65 ), ! distinct_lines( line_connecting( skol1, skol2 ), line_connecting(
% 0.72/1.65 skol1, skol3 ) ), ! distinct_points( skol1, skol3 ) }.
% 0.72/1.65 parent1[0]: (624) {G7,W7,D3,L1,V0,M1} R(622,336);r(29) { distinct_lines(
% 0.72/1.65 line_connecting( skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 factor: (1040) {G4,W3,D2,L1,V0,M1} { ! distinct_points( skol1, skol3 ) }.
% 0.72/1.65 parent0[0, 1]: (1039) {G4,W6,D2,L2,V0,M2} { ! distinct_points( skol1,
% 0.72/1.65 skol3 ), ! distinct_points( skol1, skol3 ) }.
% 0.72/1.65 substitution0:
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (869) {G8,W3,D2,L1,V0,M1} R(598,121);f;r(624) { !
% 0.72/1.65 distinct_points( skol1, skol3 ) }.
% 0.72/1.65 parent0: (1040) {G4,W3,D2,L1,V0,M1} { ! distinct_points( skol1, skol3 )
% 0.72/1.65 }.
% 0.72/1.65 substitution0:
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 0 ==> 0
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 resolution: (1041) {G1,W0,D0,L0,V0,M0} { }.
% 0.72/1.65 parent0[0]: (869) {G8,W3,D2,L1,V0,M1} R(598,121);f;r(624) { !
% 0.72/1.65 distinct_points( skol1, skol3 ) }.
% 0.72/1.65 parent1[0]: (15) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol3 )
% 0.72/1.65 }.
% 0.72/1.65 substitution0:
% 0.72/1.65 end
% 0.72/1.65 substitution1:
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 subsumption: (872) {G9,W0,D0,L0,V0,M0} S(869);r(15) { }.
% 0.72/1.65 parent0: (1041) {G1,W0,D0,L0,V0,M0} { }.
% 0.72/1.65 substitution0:
% 0.72/1.65 end
% 0.72/1.65 permutation0:
% 0.72/1.65 end
% 0.72/1.65
% 0.72/1.65 Proof check complete!
% 0.72/1.65
% 0.72/1.65 Memory use:
% 0.72/1.65
% 0.72/1.65 space for terms: 12363
% 0.72/1.65 space for clauses: 33580
% 0.72/1.65
% 0.72/1.65
% 0.72/1.65 clauses generated: 76861
% 0.72/1.65 clauses kept: 873
% 0.72/1.65 clauses selected: 642
% 0.72/1.65 clauses deleted: 5
% 0.72/1.65 clauses inuse deleted: 0
% 0.72/1.65
% 0.72/1.65 subsentry: 98130
% 0.72/1.65 literals s-matched: 73369
% 0.72/1.65 literals matched: 73329
% 0.72/1.65 full subsumption: 62703
% 0.72/1.65
% 0.72/1.65 checksum: 382119899
% 0.72/1.65
% 0.72/1.65
% 0.72/1.65 Bliksem ended
%------------------------------------------------------------------------------