TSTP Solution File: GEO188+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO188+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 02:52:28 EDT 2022
% Result : Theorem 1.26s 1.68s
% Output : Refutation 1.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO188+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n022.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jun 18 14:04:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.26/1.67 *** allocated 10000 integers for termspace/termends
% 1.26/1.67 *** allocated 10000 integers for clauses
% 1.26/1.67 *** allocated 10000 integers for justifications
% 1.26/1.67 Bliksem 1.12
% 1.26/1.67
% 1.26/1.67
% 1.26/1.67 Automatic Strategy Selection
% 1.26/1.67
% 1.26/1.67
% 1.26/1.67 Clauses:
% 1.26/1.67
% 1.26/1.67 { ! distinct_points( X, X ) }.
% 1.26/1.67 { ! distinct_lines( X, X ) }.
% 1.26/1.67 { ! convergent_lines( X, X ) }.
% 1.26/1.67 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 1.26/1.67 ) }.
% 1.26/1.67 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 1.26/1.67 }.
% 1.26/1.67 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 1.26/1.67 , Z ) }.
% 1.26/1.67 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 1.26/1.67 , Y ) ), distinct_points( Z, X ) }.
% 1.26/1.67 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 1.26/1.67 , Y ) ), distinct_points( Z, Y ) }.
% 1.26/1.67 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, X ),
% 1.26/1.67 distinct_points( Z, intersection_point( X, Y ) ) }.
% 1.26/1.67 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, Y ),
% 1.26/1.67 distinct_points( Z, intersection_point( X, Y ) ) }.
% 1.26/1.67 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 1.26/1.67 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.26/1.67 apart_point_and_line( Y, T ) }.
% 1.26/1.67 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 1.26/1.67 apart_point_and_line( Z, Y ) }.
% 1.26/1.67 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 1.26/1.67 apart_point_and_line( X, Z ) }.
% 1.26/1.67 { ! convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 1.26/1.67 { distinct_points( skol1, skol2 ) }.
% 1.26/1.67 { distinct_points( skol1, skol3 ) }.
% 1.26/1.67 { distinct_points( skol2, skol3 ) }.
% 1.26/1.67 { ! apart_point_and_line( skol3, line_connecting( skol1, skol2 ) ) }.
% 1.26/1.67 { apart_point_and_line( skol1, line_connecting( skol3, skol2 ) ) }.
% 1.26/1.67
% 1.26/1.67 percentage equality = 0.000000, percentage horn = 0.684211
% 1.26/1.67 This a non-horn, non-equality problem
% 1.26/1.67
% 1.26/1.67
% 1.26/1.67 Options Used:
% 1.26/1.67
% 1.26/1.67 useres = 1
% 1.26/1.67 useparamod = 0
% 1.26/1.67 useeqrefl = 0
% 1.26/1.67 useeqfact = 0
% 1.26/1.67 usefactor = 1
% 1.26/1.67 usesimpsplitting = 0
% 1.26/1.67 usesimpdemod = 0
% 1.26/1.67 usesimpres = 3
% 1.26/1.67
% 1.26/1.67 resimpinuse = 1000
% 1.26/1.67 resimpclauses = 20000
% 1.26/1.67 substype = standard
% 1.26/1.68 backwardsubs = 1
% 1.26/1.68 selectoldest = 5
% 1.26/1.68
% 1.26/1.68 litorderings [0] = split
% 1.26/1.68 litorderings [1] = liftord
% 1.26/1.68
% 1.26/1.68 termordering = none
% 1.26/1.68
% 1.26/1.68 litapriori = 1
% 1.26/1.68 termapriori = 0
% 1.26/1.68 litaposteriori = 0
% 1.26/1.68 termaposteriori = 0
% 1.26/1.68 demodaposteriori = 0
% 1.26/1.68 ordereqreflfact = 0
% 1.26/1.68
% 1.26/1.68 litselect = none
% 1.26/1.68
% 1.26/1.68 maxweight = 15
% 1.26/1.68 maxdepth = 30000
% 1.26/1.68 maxlength = 115
% 1.26/1.68 maxnrvars = 195
% 1.26/1.68 excuselevel = 1
% 1.26/1.68 increasemaxweight = 1
% 1.26/1.68
% 1.26/1.68 maxselected = 10000000
% 1.26/1.68 maxnrclauses = 10000000
% 1.26/1.68
% 1.26/1.68 showgenerated = 0
% 1.26/1.68 showkept = 0
% 1.26/1.68 showselected = 0
% 1.26/1.68 showdeleted = 0
% 1.26/1.68 showresimp = 1
% 1.26/1.68 showstatus = 2000
% 1.26/1.68
% 1.26/1.68 prologoutput = 0
% 1.26/1.68 nrgoals = 5000000
% 1.26/1.68 totalproof = 1
% 1.26/1.68
% 1.26/1.68 Symbols occurring in the translation:
% 1.26/1.68
% 1.26/1.68 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.26/1.68 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 1.26/1.68 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 1.26/1.68 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.26/1.68 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.26/1.68 distinct_points [36, 2] (w:1, o:44, a:1, s:1, b:0),
% 1.26/1.68 distinct_lines [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 1.26/1.68 convergent_lines [38, 2] (w:1, o:43, a:1, s:1, b:0),
% 1.26/1.68 line_connecting [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 1.26/1.68 apart_point_and_line [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 1.26/1.68 intersection_point [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 1.26/1.68 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.26/1.68 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.26/1.68 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0).
% 1.26/1.68
% 1.26/1.68
% 1.26/1.68 Starting Search:
% 1.26/1.68
% 1.26/1.68 *** allocated 15000 integers for clauses
% 1.26/1.68 *** allocated 22500 integers for clauses
% 1.26/1.68 *** allocated 33750 integers for clauses
% 1.26/1.68
% 1.26/1.68 Bliksems!, er is een bewijs:
% 1.26/1.68 % SZS status Theorem
% 1.26/1.68 % SZS output start Refutation
% 1.26/1.68
% 1.26/1.68 (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.26/1.68 (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 1.26/1.68 ), ! distinct_points( X, Y ) }.
% 1.26/1.68 (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ), distinct_points( Z
% 1.26/1.68 , X ), ! apart_point_and_line( Z, line_connecting( X, Y ) ) }.
% 1.26/1.68 (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ), distinct_points( Z
% 1.26/1.68 , Y ), ! apart_point_and_line( Z, line_connecting( X, Y ) ) }.
% 1.26/1.68 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 1.26/1.68 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.26/1.68 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 1.26/1.68 (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 1.26/1.68 ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.26/1.68 (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ), apart_point_and_line(
% 1.26/1.68 X, Z ), ! apart_point_and_line( X, Y ) }.
% 1.26/1.68 (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 ) }.
% 1.26/1.68 (16) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol2, skol3 ) }.
% 1.26/1.68 (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol3, line_connecting
% 1.26/1.68 ( skol1, skol2 ) ) }.
% 1.26/1.68 (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol1, line_connecting(
% 1.26/1.68 skol3, skol2 ) ) }.
% 1.26/1.68 (23) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 1.26/1.68 distinct_points( X, Y ) }.
% 1.26/1.68 (29) {G2,W3,D2,L1,V0,M1} R(23,16) { distinct_points( skol3, skol2 ) }.
% 1.26/1.68 (93) {G1,W19,D3,L5,V2,M3} R(10,17) { ! distinct_points( skol3, X ), !
% 1.26/1.68 distinct_lines( Y, line_connecting( skol1, skol2 ) ),
% 1.26/1.68 apart_point_and_line( X, line_connecting( skol1, skol2 ) ),
% 1.26/1.68 apart_point_and_line( skol3, Y ), apart_point_and_line( X, Y ) }.
% 1.26/1.68 (117) {G1,W14,D3,L4,V4,M1} R(11,7) { distinct_points( X, Y ), !
% 1.26/1.68 distinct_points( Z, T ), distinct_points( Y, T ), ! apart_point_and_line
% 1.26/1.68 ( X, line_connecting( Z, T ) ) }.
% 1.26/1.68 (118) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y ), !
% 1.26/1.68 distinct_points( Z, T ), distinct_points( Y, Z ), ! apart_point_and_line
% 1.26/1.68 ( X, line_connecting( Z, T ) ) }.
% 1.26/1.68 (121) {G2,W8,D3,L2,V2,M1} F(118);r(0) { ! distinct_points( X, Y ), !
% 1.26/1.68 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.26/1.68 (122) {G2,W8,D3,L2,V2,M1} F(117);r(0) { ! distinct_points( Y, X ), !
% 1.26/1.68 apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 1.26/1.68 (140) {G1,W8,D3,L2,V1,M1} R(12,18) { distinct_lines( line_connecting( skol3
% 1.26/1.68 , skol2 ), X ), apart_point_and_line( skol1, X ) }.
% 1.26/1.68 (144) {G3,W10,D3,L2,V1,M1} R(140,121) { ! distinct_points( skol1, X ),
% 1.26/1.68 distinct_lines( line_connecting( skol3, skol2 ), line_connecting( skol1,
% 1.26/1.68 X ) ) }.
% 1.26/1.68 (590) {G3,W14,D3,L4,V1,M1} R(93,122);r(29) { ! distinct_lines( X,
% 1.26/1.68 line_connecting( skol1, skol2 ) ), apart_point_and_line( skol2, X ), !
% 1.26/1.68 distinct_points( skol1, skol2 ), apart_point_and_line( skol3, X ) }.
% 1.26/1.68 (614) {G4,W11,D3,L3,V1,M1} S(590);r(14) { ! distinct_lines( X,
% 1.26/1.68 line_connecting( skol1, skol2 ) ), apart_point_and_line( skol2, X ),
% 1.26/1.68 apart_point_and_line( skol3, X ) }.
% 1.26/1.68 (618) {G5,W15,D3,L3,V1,M1} R(614,121) { ! distinct_lines( line_connecting(
% 1.26/1.68 skol3, X ), line_connecting( skol1, skol2 ) ), ! distinct_points( skol3,
% 1.26/1.68 X ), apart_point_and_line( skol2, line_connecting( skol3, X ) ) }.
% 1.26/1.68 (622) {G6,W7,D3,L1,V0,M1} R(618,122);f;r(29) { ! distinct_lines(
% 1.26/1.68 line_connecting( skol3, skol2 ), line_connecting( skol1, skol2 ) ) }.
% 1.26/1.68 (677) {G7,W0,D0,L0,V0,M0} R(622,144);r(14) { }.
% 1.26/1.68
% 1.26/1.68
% 1.26/1.68 % SZS output end Refutation
% 1.26/1.68 found a proof!
% 1.26/1.68
% 1.26/1.68 *** allocated 15000 integers for termspace/termends
% 1.26/1.68
% 1.26/1.68 Unprocessed initial clauses:
% 1.26/1.68
% 1.26/1.68 (679) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 1.26/1.68 (680) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 1.26/1.68 (681) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 1.26/1.68 (682) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 1.26/1.68 , Z ), distinct_points( Y, Z ) }.
% 1.26/1.68 (683) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 1.26/1.68 ), distinct_lines( Y, Z ) }.
% 1.26/1.68 (684) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines(
% 1.26/1.68 X, Z ), convergent_lines( Y, Z ) }.
% 1.26/1.68 (685) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 1.26/1.68 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 1.26/1.68 ) }.
% 1.26/1.68 (686) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 1.26/1.68 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 1.26/1.68 ) }.
% 1.26/1.68 (687) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 1.26/1.68 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 1.26/1.68 Y ) ) }.
% 1.26/1.68 (688) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 1.26/1.68 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 1.26/1.68 Y ) ) }.
% 1.26/1.68 (689) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines(
% 1.26/1.68 Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 1.26/1.68 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 1.26/1.68 (690) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.26/1.68 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 1.26/1.68 (691) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ), distinct_lines
% 1.26/1.68 ( Y, Z ), apart_point_and_line( X, Z ) }.
% 1.26/1.68 (692) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ), distinct_lines( X
% 1.26/1.68 , Y ) }.
% 1.26/1.68 (693) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 1.26/1.68 (694) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol3 ) }.
% 1.26/1.68 (695) {G0,W3,D2,L1,V0,M1} { distinct_points( skol2, skol3 ) }.
% 1.26/1.68 (696) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( skol3, line_connecting
% 1.26/1.68 ( skol1, skol2 ) ) }.
% 1.26/1.68 (697) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( skol1, line_connecting(
% 1.26/1.68 skol3, skol2 ) ) }.
% 1.26/1.68
% 1.26/1.68
% 1.26/1.68 Total Proof:
% 1.26/1.68
% 1.26/1.68 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.26/1.68 parent0: (679) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := X
% 1.26/1.68 end
% 1.26/1.68 permutation0:
% 1.26/1.68 0 ==> 0
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 subsumption: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 1.26/1.68 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 1.26/1.68 parent0: (682) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ),
% 1.26/1.68 distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := X
% 1.26/1.68 Y := Y
% 1.26/1.68 Z := Z
% 1.26/1.68 end
% 1.26/1.68 permutation0:
% 1.26/1.68 0 ==> 2
% 1.26/1.68 1 ==> 0
% 1.26/1.68 2 ==> 1
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 subsumption: (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 1.26/1.68 distinct_points( Z, X ), ! apart_point_and_line( Z, line_connecting( X, Y
% 1.26/1.68 ) ) }.
% 1.26/1.68 parent0: (685) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 1.26/1.68 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 1.26/1.68 ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := X
% 1.26/1.68 Y := Y
% 1.26/1.68 Z := Z
% 1.26/1.68 end
% 1.26/1.68 permutation0:
% 1.26/1.68 0 ==> 0
% 1.26/1.68 1 ==> 2
% 1.26/1.68 2 ==> 1
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 subsumption: (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 1.26/1.68 distinct_points( Z, Y ), ! apart_point_and_line( Z, line_connecting( X, Y
% 1.26/1.68 ) ) }.
% 1.26/1.68 parent0: (686) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 1.26/1.68 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 1.26/1.68 ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := X
% 1.26/1.68 Y := Y
% 1.26/1.68 Z := Z
% 1.26/1.68 end
% 1.26/1.68 permutation0:
% 1.26/1.68 0 ==> 0
% 1.26/1.68 1 ==> 2
% 1.26/1.68 2 ==> 1
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 1.26/1.68 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 1.26/1.68 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 1.26/1.68 apart_point_and_line( X, Z ) }.
% 1.26/1.68 parent0: (689) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 1.26/1.68 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 1.26/1.68 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.26/1.68 apart_point_and_line( Y, T ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := X
% 1.26/1.68 Y := Y
% 1.26/1.68 Z := Z
% 1.26/1.68 T := T
% 1.26/1.68 end
% 1.26/1.68 permutation0:
% 1.26/1.68 0 ==> 0
% 1.26/1.68 1 ==> 1
% 1.26/1.68 2 ==> 5
% 1.26/1.68 3 ==> 2
% 1.26/1.68 4 ==> 3
% 1.26/1.68 5 ==> 4
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 1.26/1.68 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.26/1.68 parent0: (690) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.26/1.68 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := X
% 1.26/1.68 Y := Y
% 1.26/1.68 Z := Z
% 1.26/1.68 end
% 1.26/1.68 permutation0:
% 1.26/1.68 0 ==> 2
% 1.26/1.68 1 ==> 0
% 1.26/1.68 2 ==> 1
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 subsumption: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 1.26/1.68 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 1.26/1.68 parent0: (691) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.26/1.68 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := X
% 1.26/1.68 Y := Y
% 1.26/1.68 Z := Z
% 1.26/1.68 end
% 1.26/1.68 permutation0:
% 1.26/1.68 0 ==> 2
% 1.26/1.68 1 ==> 0
% 1.26/1.68 2 ==> 1
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.26/1.68 }.
% 1.26/1.68 parent0: (693) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 end
% 1.26/1.68 permutation0:
% 1.26/1.68 0 ==> 0
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 subsumption: (16) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol2, skol3 )
% 1.26/1.68 }.
% 1.26/1.68 parent0: (695) {G0,W3,D2,L1,V0,M1} { distinct_points( skol2, skol3 ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 end
% 1.26/1.68 permutation0:
% 1.26/1.68 0 ==> 0
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 subsumption: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol3,
% 1.26/1.68 line_connecting( skol1, skol2 ) ) }.
% 1.26/1.68 parent0: (696) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( skol3,
% 1.26/1.68 line_connecting( skol1, skol2 ) ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 end
% 1.26/1.68 permutation0:
% 1.26/1.68 0 ==> 0
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 subsumption: (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol1,
% 1.26/1.68 line_connecting( skol3, skol2 ) ) }.
% 1.26/1.68 parent0: (697) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( skol1,
% 1.26/1.68 line_connecting( skol3, skol2 ) ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 end
% 1.26/1.68 permutation0:
% 1.26/1.68 0 ==> 0
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 resolution: (768) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 1.26/1.68 distinct_points( X, Y ) }.
% 1.26/1.68 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.26/1.68 parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 1.26/1.68 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := X
% 1.26/1.68 end
% 1.26/1.68 substitution1:
% 1.26/1.68 X := X
% 1.26/1.68 Y := Y
% 1.26/1.68 Z := X
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 subsumption: (23) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 1.26/1.68 distinct_points( X, Y ) }.
% 1.26/1.68 parent0: (768) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 1.26/1.68 distinct_points( X, Y ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := Y
% 1.26/1.68 Y := X
% 1.26/1.68 end
% 1.26/1.68 permutation0:
% 1.26/1.68 0 ==> 1
% 1.26/1.68 1 ==> 0
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 resolution: (770) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol2 )
% 1.26/1.68 }.
% 1.26/1.68 parent0[0]: (23) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 1.26/1.68 distinct_points( X, Y ) }.
% 1.26/1.68 parent1[0]: (16) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol2, skol3 )
% 1.26/1.68 }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := skol3
% 1.26/1.68 Y := skol2
% 1.26/1.68 end
% 1.26/1.68 substitution1:
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 subsumption: (29) {G2,W3,D2,L1,V0,M1} R(23,16) { distinct_points( skol3,
% 1.26/1.68 skol2 ) }.
% 1.26/1.68 parent0: (770) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol2 ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 end
% 1.26/1.68 permutation0:
% 1.26/1.68 0 ==> 0
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 resolution: (771) {G1,W19,D3,L5,V2,M5} { ! distinct_points( skol3, X ), !
% 1.26/1.68 distinct_lines( Y, line_connecting( skol1, skol2 ) ),
% 1.26/1.68 apart_point_and_line( X, Y ), apart_point_and_line( X, line_connecting(
% 1.26/1.68 skol1, skol2 ) ), apart_point_and_line( skol3, Y ) }.
% 1.26/1.68 parent0[0]: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol3,
% 1.26/1.68 line_connecting( skol1, skol2 ) ) }.
% 1.26/1.68 parent1[2]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 1.26/1.68 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 1.26/1.68 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 1.26/1.68 apart_point_and_line( X, Z ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 end
% 1.26/1.68 substitution1:
% 1.26/1.68 X := skol3
% 1.26/1.68 Y := X
% 1.26/1.68 Z := Y
% 1.26/1.68 T := line_connecting( skol1, skol2 )
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 subsumption: (93) {G1,W19,D3,L5,V2,M3} R(10,17) { ! distinct_points( skol3
% 1.26/1.68 , X ), ! distinct_lines( Y, line_connecting( skol1, skol2 ) ),
% 1.26/1.68 apart_point_and_line( X, line_connecting( skol1, skol2 ) ),
% 1.26/1.68 apart_point_and_line( skol3, Y ), apart_point_and_line( X, Y ) }.
% 1.26/1.68 parent0: (771) {G1,W19,D3,L5,V2,M5} { ! distinct_points( skol3, X ), !
% 1.26/1.68 distinct_lines( Y, line_connecting( skol1, skol2 ) ),
% 1.26/1.68 apart_point_and_line( X, Y ), apart_point_and_line( X, line_connecting(
% 1.26/1.68 skol1, skol2 ) ), apart_point_and_line( skol3, Y ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := X
% 1.26/1.68 Y := Y
% 1.26/1.68 end
% 1.26/1.68 permutation0:
% 1.26/1.68 0 ==> 0
% 1.26/1.68 1 ==> 1
% 1.26/1.68 2 ==> 4
% 1.26/1.68 3 ==> 2
% 1.26/1.68 4 ==> 3
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 resolution: (781) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 1.26/1.68 distinct_points( Z, Y ), distinct_points( T, Z ), ! apart_point_and_line
% 1.26/1.68 ( T, line_connecting( X, Y ) ) }.
% 1.26/1.68 parent0[2]: (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 1.26/1.68 distinct_points( Z, Y ), ! apart_point_and_line( Z, line_connecting( X, Y
% 1.26/1.68 ) ) }.
% 1.26/1.68 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 1.26/1.68 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := X
% 1.26/1.68 Y := Y
% 1.26/1.68 Z := Z
% 1.26/1.68 end
% 1.26/1.68 substitution1:
% 1.26/1.68 X := T
% 1.26/1.68 Y := line_connecting( X, Y )
% 1.26/1.68 Z := Z
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 subsumption: (117) {G1,W14,D3,L4,V4,M1} R(11,7) { distinct_points( X, Y ),
% 1.26/1.68 ! distinct_points( Z, T ), distinct_points( Y, T ), !
% 1.26/1.68 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 1.26/1.68 parent0: (781) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 1.26/1.68 distinct_points( Z, Y ), distinct_points( T, Z ), ! apart_point_and_line
% 1.26/1.68 ( T, line_connecting( X, Y ) ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := Z
% 1.26/1.68 Y := T
% 1.26/1.68 Z := Y
% 1.26/1.68 T := X
% 1.26/1.68 end
% 1.26/1.68 permutation0:
% 1.26/1.68 0 ==> 1
% 1.26/1.68 1 ==> 2
% 1.26/1.68 2 ==> 0
% 1.26/1.68 3 ==> 3
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 resolution: (785) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 1.26/1.68 distinct_points( Z, X ), distinct_points( T, Z ), ! apart_point_and_line
% 1.26/1.68 ( T, line_connecting( X, Y ) ) }.
% 1.26/1.68 parent0[2]: (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 1.26/1.68 distinct_points( Z, X ), ! apart_point_and_line( Z, line_connecting( X, Y
% 1.26/1.68 ) ) }.
% 1.26/1.68 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 1.26/1.68 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := X
% 1.26/1.68 Y := Y
% 1.26/1.68 Z := Z
% 1.26/1.68 end
% 1.26/1.68 substitution1:
% 1.26/1.68 X := T
% 1.26/1.68 Y := line_connecting( X, Y )
% 1.26/1.68 Z := Z
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 subsumption: (118) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y ),
% 1.26/1.68 ! distinct_points( Z, T ), distinct_points( Y, Z ), !
% 1.26/1.68 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 1.26/1.68 parent0: (785) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 1.26/1.68 distinct_points( Z, X ), distinct_points( T, Z ), ! apart_point_and_line
% 1.26/1.68 ( T, line_connecting( X, Y ) ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := Z
% 1.26/1.68 Y := T
% 1.26/1.68 Z := Y
% 1.26/1.68 T := X
% 1.26/1.68 end
% 1.26/1.68 permutation0:
% 1.26/1.68 0 ==> 1
% 1.26/1.68 1 ==> 2
% 1.26/1.68 2 ==> 0
% 1.26/1.68 3 ==> 3
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 factor: (788) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 1.26/1.68 distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X, Y
% 1.26/1.68 ) ) }.
% 1.26/1.68 parent0[0, 2]: (118) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y )
% 1.26/1.68 , ! distinct_points( Z, T ), distinct_points( Y, Z ), !
% 1.26/1.68 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := X
% 1.26/1.68 Y := X
% 1.26/1.68 Z := X
% 1.26/1.68 T := Y
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 resolution: (789) {G1,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.26/1.68 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.26/1.68 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.26/1.68 parent1[0]: (788) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 1.26/1.68 distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X, Y
% 1.26/1.68 ) ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := X
% 1.26/1.68 end
% 1.26/1.68 substitution1:
% 1.26/1.68 X := X
% 1.26/1.68 Y := Y
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 subsumption: (121) {G2,W8,D3,L2,V2,M1} F(118);r(0) { ! distinct_points( X,
% 1.26/1.68 Y ), ! apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.26/1.68 parent0: (789) {G1,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.26/1.68 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := X
% 1.26/1.68 Y := Y
% 1.26/1.68 end
% 1.26/1.68 permutation0:
% 1.26/1.68 0 ==> 0
% 1.26/1.68 1 ==> 1
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 factor: (790) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 1.26/1.68 distinct_points( Y, X ), ! apart_point_and_line( X, line_connecting( Y, X
% 1.26/1.68 ) ) }.
% 1.26/1.68 parent0[0, 2]: (117) {G1,W14,D3,L4,V4,M1} R(11,7) { distinct_points( X, Y )
% 1.26/1.68 , ! distinct_points( Z, T ), distinct_points( Y, T ), !
% 1.26/1.68 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := X
% 1.26/1.68 Y := X
% 1.26/1.68 Z := Y
% 1.26/1.68 T := X
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 resolution: (791) {G1,W8,D3,L2,V2,M2} { ! distinct_points( Y, X ), !
% 1.26/1.68 apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 1.26/1.68 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.26/1.68 parent1[0]: (790) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 1.26/1.68 distinct_points( Y, X ), ! apart_point_and_line( X, line_connecting( Y, X
% 1.26/1.68 ) ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := X
% 1.26/1.68 end
% 1.26/1.68 substitution1:
% 1.26/1.68 X := X
% 1.26/1.68 Y := Y
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 subsumption: (122) {G2,W8,D3,L2,V2,M1} F(117);r(0) { ! distinct_points( Y,
% 1.26/1.68 X ), ! apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 1.26/1.68 parent0: (791) {G1,W8,D3,L2,V2,M2} { ! distinct_points( Y, X ), !
% 1.26/1.68 apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := X
% 1.26/1.68 Y := Y
% 1.26/1.68 end
% 1.26/1.68 permutation0:
% 1.26/1.68 0 ==> 0
% 1.26/1.68 1 ==> 1
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 resolution: (792) {G1,W8,D3,L2,V1,M2} { distinct_lines( line_connecting(
% 1.26/1.68 skol3, skol2 ), X ), apart_point_and_line( skol1, X ) }.
% 1.26/1.68 parent0[2]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 1.26/1.68 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 1.26/1.68 parent1[0]: (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol1,
% 1.26/1.68 line_connecting( skol3, skol2 ) ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := skol1
% 1.26/1.68 Y := line_connecting( skol3, skol2 )
% 1.26/1.68 Z := X
% 1.26/1.68 end
% 1.26/1.68 substitution1:
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 subsumption: (140) {G1,W8,D3,L2,V1,M1} R(12,18) { distinct_lines(
% 1.26/1.68 line_connecting( skol3, skol2 ), X ), apart_point_and_line( skol1, X )
% 1.26/1.68 }.
% 1.26/1.68 parent0: (792) {G1,W8,D3,L2,V1,M2} { distinct_lines( line_connecting(
% 1.26/1.68 skol3, skol2 ), X ), apart_point_and_line( skol1, X ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := X
% 1.26/1.68 end
% 1.26/1.68 permutation0:
% 1.26/1.68 0 ==> 0
% 1.26/1.68 1 ==> 1
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 resolution: (793) {G2,W10,D3,L2,V1,M2} { ! distinct_points( skol1, X ),
% 1.26/1.68 distinct_lines( line_connecting( skol3, skol2 ), line_connecting( skol1,
% 1.26/1.68 X ) ) }.
% 1.26/1.68 parent0[1]: (121) {G2,W8,D3,L2,V2,M1} F(118);r(0) { ! distinct_points( X, Y
% 1.26/1.68 ), ! apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.26/1.68 parent1[1]: (140) {G1,W8,D3,L2,V1,M1} R(12,18) { distinct_lines(
% 1.26/1.68 line_connecting( skol3, skol2 ), X ), apart_point_and_line( skol1, X )
% 1.26/1.68 }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := skol1
% 1.26/1.68 Y := X
% 1.26/1.68 end
% 1.26/1.68 substitution1:
% 1.26/1.68 X := line_connecting( skol1, X )
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 subsumption: (144) {G3,W10,D3,L2,V1,M1} R(140,121) { ! distinct_points(
% 1.26/1.68 skol1, X ), distinct_lines( line_connecting( skol3, skol2 ),
% 1.26/1.68 line_connecting( skol1, X ) ) }.
% 1.26/1.68 parent0: (793) {G2,W10,D3,L2,V1,M2} { ! distinct_points( skol1, X ),
% 1.26/1.68 distinct_lines( line_connecting( skol3, skol2 ), line_connecting( skol1,
% 1.26/1.68 X ) ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := X
% 1.26/1.68 end
% 1.26/1.68 permutation0:
% 1.26/1.68 0 ==> 0
% 1.26/1.68 1 ==> 1
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 resolution: (794) {G2,W17,D3,L5,V1,M5} { ! distinct_points( skol1, skol2 )
% 1.26/1.68 , ! distinct_points( skol3, skol2 ), ! distinct_lines( X, line_connecting
% 1.26/1.68 ( skol1, skol2 ) ), apart_point_and_line( skol3, X ),
% 1.26/1.68 apart_point_and_line( skol2, X ) }.
% 1.26/1.68 parent0[1]: (122) {G2,W8,D3,L2,V2,M1} F(117);r(0) { ! distinct_points( Y, X
% 1.26/1.68 ), ! apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 1.26/1.68 parent1[2]: (93) {G1,W19,D3,L5,V2,M3} R(10,17) { ! distinct_points( skol3,
% 1.26/1.68 X ), ! distinct_lines( Y, line_connecting( skol1, skol2 ) ),
% 1.26/1.68 apart_point_and_line( X, line_connecting( skol1, skol2 ) ),
% 1.26/1.68 apart_point_and_line( skol3, Y ), apart_point_and_line( X, Y ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := skol2
% 1.26/1.68 Y := skol1
% 1.26/1.68 end
% 1.26/1.68 substitution1:
% 1.26/1.68 X := skol2
% 1.26/1.68 Y := X
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 resolution: (798) {G3,W14,D3,L4,V1,M4} { ! distinct_points( skol1, skol2 )
% 1.26/1.68 , ! distinct_lines( X, line_connecting( skol1, skol2 ) ),
% 1.26/1.68 apart_point_and_line( skol3, X ), apart_point_and_line( skol2, X ) }.
% 1.26/1.68 parent0[1]: (794) {G2,W17,D3,L5,V1,M5} { ! distinct_points( skol1, skol2 )
% 1.26/1.68 , ! distinct_points( skol3, skol2 ), ! distinct_lines( X, line_connecting
% 1.26/1.68 ( skol1, skol2 ) ), apart_point_and_line( skol3, X ),
% 1.26/1.68 apart_point_and_line( skol2, X ) }.
% 1.26/1.68 parent1[0]: (29) {G2,W3,D2,L1,V0,M1} R(23,16) { distinct_points( skol3,
% 1.26/1.68 skol2 ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := X
% 1.26/1.68 end
% 1.26/1.68 substitution1:
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 subsumption: (590) {G3,W14,D3,L4,V1,M1} R(93,122);r(29) { ! distinct_lines
% 1.26/1.68 ( X, line_connecting( skol1, skol2 ) ), apart_point_and_line( skol2, X )
% 1.26/1.68 , ! distinct_points( skol1, skol2 ), apart_point_and_line( skol3, X ) }.
% 1.26/1.68 parent0: (798) {G3,W14,D3,L4,V1,M4} { ! distinct_points( skol1, skol2 ), !
% 1.26/1.68 distinct_lines( X, line_connecting( skol1, skol2 ) ),
% 1.26/1.68 apart_point_and_line( skol3, X ), apart_point_and_line( skol2, X ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := X
% 1.26/1.68 end
% 1.26/1.68 permutation0:
% 1.26/1.68 0 ==> 2
% 1.26/1.68 1 ==> 0
% 1.26/1.68 2 ==> 3
% 1.26/1.68 3 ==> 1
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 resolution: (799) {G1,W11,D3,L3,V1,M3} { ! distinct_lines( X,
% 1.26/1.68 line_connecting( skol1, skol2 ) ), apart_point_and_line( skol2, X ),
% 1.26/1.68 apart_point_and_line( skol3, X ) }.
% 1.26/1.68 parent0[2]: (590) {G3,W14,D3,L4,V1,M1} R(93,122);r(29) { ! distinct_lines(
% 1.26/1.68 X, line_connecting( skol1, skol2 ) ), apart_point_and_line( skol2, X ), !
% 1.26/1.68 distinct_points( skol1, skol2 ), apart_point_and_line( skol3, X ) }.
% 1.26/1.68 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.26/1.68 }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := X
% 1.26/1.68 end
% 1.26/1.68 substitution1:
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 subsumption: (614) {G4,W11,D3,L3,V1,M1} S(590);r(14) { ! distinct_lines( X
% 1.26/1.68 , line_connecting( skol1, skol2 ) ), apart_point_and_line( skol2, X ),
% 1.26/1.68 apart_point_and_line( skol3, X ) }.
% 1.26/1.68 parent0: (799) {G1,W11,D3,L3,V1,M3} { ! distinct_lines( X, line_connecting
% 1.26/1.68 ( skol1, skol2 ) ), apart_point_and_line( skol2, X ),
% 1.26/1.68 apart_point_and_line( skol3, X ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := X
% 1.26/1.68 end
% 1.26/1.68 permutation0:
% 1.26/1.68 0 ==> 0
% 1.26/1.68 1 ==> 1
% 1.26/1.68 2 ==> 2
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 resolution: (801) {G3,W15,D3,L3,V1,M3} { ! distinct_points( skol3, X ), !
% 1.26/1.68 distinct_lines( line_connecting( skol3, X ), line_connecting( skol1,
% 1.26/1.68 skol2 ) ), apart_point_and_line( skol2, line_connecting( skol3, X ) ) }.
% 1.26/1.68 parent0[1]: (121) {G2,W8,D3,L2,V2,M1} F(118);r(0) { ! distinct_points( X, Y
% 1.26/1.68 ), ! apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.26/1.68 parent1[2]: (614) {G4,W11,D3,L3,V1,M1} S(590);r(14) { ! distinct_lines( X,
% 1.26/1.68 line_connecting( skol1, skol2 ) ), apart_point_and_line( skol2, X ),
% 1.26/1.68 apart_point_and_line( skol3, X ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := skol3
% 1.26/1.68 Y := X
% 1.26/1.68 end
% 1.26/1.68 substitution1:
% 1.26/1.68 X := line_connecting( skol3, X )
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 subsumption: (618) {G5,W15,D3,L3,V1,M1} R(614,121) { ! distinct_lines(
% 1.26/1.68 line_connecting( skol3, X ), line_connecting( skol1, skol2 ) ), !
% 1.26/1.68 distinct_points( skol3, X ), apart_point_and_line( skol2, line_connecting
% 1.26/1.68 ( skol3, X ) ) }.
% 1.26/1.68 parent0: (801) {G3,W15,D3,L3,V1,M3} { ! distinct_points( skol3, X ), !
% 1.26/1.68 distinct_lines( line_connecting( skol3, X ), line_connecting( skol1,
% 1.26/1.68 skol2 ) ), apart_point_and_line( skol2, line_connecting( skol3, X ) ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := X
% 1.26/1.68 end
% 1.26/1.68 permutation0:
% 1.26/1.68 0 ==> 1
% 1.26/1.68 1 ==> 0
% 1.26/1.68 2 ==> 2
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 resolution: (802) {G3,W13,D3,L3,V0,M3} { ! distinct_points( skol3, skol2 )
% 1.26/1.68 , ! distinct_lines( line_connecting( skol3, skol2 ), line_connecting(
% 1.26/1.68 skol1, skol2 ) ), ! distinct_points( skol3, skol2 ) }.
% 1.26/1.68 parent0[1]: (122) {G2,W8,D3,L2,V2,M1} F(117);r(0) { ! distinct_points( Y, X
% 1.26/1.68 ), ! apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 1.26/1.68 parent1[2]: (618) {G5,W15,D3,L3,V1,M1} R(614,121) { ! distinct_lines(
% 1.26/1.68 line_connecting( skol3, X ), line_connecting( skol1, skol2 ) ), !
% 1.26/1.68 distinct_points( skol3, X ), apart_point_and_line( skol2, line_connecting
% 1.26/1.68 ( skol3, X ) ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 X := skol2
% 1.26/1.68 Y := skol3
% 1.26/1.68 end
% 1.26/1.68 substitution1:
% 1.26/1.68 X := skol2
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 factor: (803) {G3,W10,D3,L2,V0,M2} { ! distinct_points( skol3, skol2 ), !
% 1.26/1.68 distinct_lines( line_connecting( skol3, skol2 ), line_connecting( skol1,
% 1.26/1.68 skol2 ) ) }.
% 1.26/1.68 parent0[0, 2]: (802) {G3,W13,D3,L3,V0,M3} { ! distinct_points( skol3,
% 1.26/1.68 skol2 ), ! distinct_lines( line_connecting( skol3, skol2 ),
% 1.26/1.68 line_connecting( skol1, skol2 ) ), ! distinct_points( skol3, skol2 ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 resolution: (805) {G3,W7,D3,L1,V0,M1} { ! distinct_lines( line_connecting
% 1.26/1.68 ( skol3, skol2 ), line_connecting( skol1, skol2 ) ) }.
% 1.26/1.68 parent0[0]: (803) {G3,W10,D3,L2,V0,M2} { ! distinct_points( skol3, skol2 )
% 1.26/1.68 , ! distinct_lines( line_connecting( skol3, skol2 ), line_connecting(
% 1.26/1.68 skol1, skol2 ) ) }.
% 1.26/1.68 parent1[0]: (29) {G2,W3,D2,L1,V0,M1} R(23,16) { distinct_points( skol3,
% 1.26/1.68 skol2 ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 end
% 1.26/1.68 substitution1:
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 subsumption: (622) {G6,W7,D3,L1,V0,M1} R(618,122);f;r(29) { !
% 1.26/1.68 distinct_lines( line_connecting( skol3, skol2 ), line_connecting( skol1,
% 1.26/1.68 skol2 ) ) }.
% 1.26/1.68 parent0: (805) {G3,W7,D3,L1,V0,M1} { ! distinct_lines( line_connecting(
% 1.26/1.68 skol3, skol2 ), line_connecting( skol1, skol2 ) ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 end
% 1.26/1.68 permutation0:
% 1.26/1.68 0 ==> 0
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 resolution: (806) {G4,W3,D2,L1,V0,M1} { ! distinct_points( skol1, skol2 )
% 1.26/1.68 }.
% 1.26/1.68 parent0[0]: (622) {G6,W7,D3,L1,V0,M1} R(618,122);f;r(29) { ! distinct_lines
% 1.26/1.68 ( line_connecting( skol3, skol2 ), line_connecting( skol1, skol2 ) ) }.
% 1.26/1.68 parent1[1]: (144) {G3,W10,D3,L2,V1,M1} R(140,121) { ! distinct_points(
% 1.26/1.68 skol1, X ), distinct_lines( line_connecting( skol3, skol2 ),
% 1.26/1.68 line_connecting( skol1, X ) ) }.
% 1.26/1.68 substitution0:
% 1.26/1.68 end
% 1.26/1.68 substitution1:
% 1.26/1.68 X := skol2
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 resolution: (807) {G1,W0,D0,L0,V0,M0} { }.
% 1.26/1.68 parent0[0]: (806) {G4,W3,D2,L1,V0,M1} { ! distinct_points( skol1, skol2 )
% 1.26/1.68 }.
% 1.26/1.68 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.26/1.68 }.
% 1.26/1.68 substitution0:
% 1.26/1.68 end
% 1.26/1.68 substitution1:
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 subsumption: (677) {G7,W0,D0,L0,V0,M0} R(622,144);r(14) { }.
% 1.26/1.68 parent0: (807) {G1,W0,D0,L0,V0,M0} { }.
% 1.26/1.68 substitution0:
% 1.26/1.68 end
% 1.26/1.68 permutation0:
% 1.26/1.68 end
% 1.26/1.68
% 1.26/1.68 Proof check complete!
% 1.26/1.68
% 1.26/1.68 Memory use:
% 1.26/1.68
% 1.26/1.68 space for terms: 9919
% 1.26/1.68 space for clauses: 25660
% 1.26/1.68
% 1.26/1.68
% 1.26/1.68 clauses generated: 73910
% 1.26/1.68 clauses kept: 678
% 1.26/1.68 clauses selected: 605
% 1.26/1.68 clauses deleted: 4
% 1.26/1.68 clauses inuse deleted: 0
% 1.26/1.68
% 1.26/1.68 subsentry: 85915
% 1.26/1.68 literals s-matched: 71054
% 1.26/1.68 literals matched: 71019
% 1.26/1.68 full subsumption: 61207
% 1.26/1.68
% 1.26/1.68 checksum: -1598734285
% 1.26/1.68
% 1.26/1.68
% 1.26/1.68 Bliksem ended
%------------------------------------------------------------------------------