TSTP Solution File: GEO204+2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO204+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 02:52:42 EDT 2022
% Result : Theorem 90.98s 91.41s
% Output : Refutation 90.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO204+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n024.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 05:33:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 90.98/91.41 *** allocated 10000 integers for termspace/termends
% 90.98/91.41 *** allocated 10000 integers for clauses
% 90.98/91.41 *** allocated 10000 integers for justifications
% 90.98/91.41 Bliksem 1.12
% 90.98/91.41
% 90.98/91.41
% 90.98/91.41 Automatic Strategy Selection
% 90.98/91.41
% 90.98/91.41
% 90.98/91.41 Clauses:
% 90.98/91.41
% 90.98/91.41 { ! distinct_points( X, X ) }.
% 90.98/91.41 { ! distinct_lines( X, X ) }.
% 90.98/91.41 { ! convergent_lines( X, X ) }.
% 90.98/91.41 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 90.98/91.41 ) }.
% 90.98/91.41 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 90.98/91.41 }.
% 90.98/91.41 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 90.98/91.41 , Z ) }.
% 90.98/91.41 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 90.98/91.41 , Y ) ), distinct_points( Z, X ) }.
% 90.98/91.41 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 90.98/91.41 , Y ) ), distinct_points( Z, Y ) }.
% 90.98/91.41 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, X ),
% 90.98/91.41 distinct_points( Z, intersection_point( X, Y ) ) }.
% 90.98/91.41 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, Y ),
% 90.98/91.41 distinct_points( Z, intersection_point( X, Y ) ) }.
% 90.98/91.41 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 90.98/91.41 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 90.98/91.41 apart_point_and_line( Y, T ) }.
% 90.98/91.41 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 90.98/91.41 apart_point_and_line( Z, Y ) }.
% 90.98/91.41 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 90.98/91.41 apart_point_and_line( X, Z ) }.
% 90.98/91.41 { ! convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 90.98/91.41 { distinct_points( skol1, skol2 ) }.
% 90.98/91.41 { ! distinct_points( skol2, skol3 ) }.
% 90.98/91.41 { ! distinct_points( skol1, skol3 ), distinct_lines( line_connecting( skol1
% 90.98/91.41 , skol2 ), line_connecting( skol1, skol3 ) ) }.
% 90.98/91.41
% 90.98/91.41 percentage equality = 0.000000, percentage horn = 0.647059
% 90.98/91.41 This a non-horn, non-equality problem
% 90.98/91.41
% 90.98/91.41
% 90.98/91.41 Options Used:
% 90.98/91.41
% 90.98/91.41 useres = 1
% 90.98/91.41 useparamod = 0
% 90.98/91.41 useeqrefl = 0
% 90.98/91.41 useeqfact = 0
% 90.98/91.41 usefactor = 1
% 90.98/91.41 usesimpsplitting = 0
% 90.98/91.41 usesimpdemod = 0
% 90.98/91.41 usesimpres = 3
% 90.98/91.41
% 90.98/91.41 resimpinuse = 1000
% 90.98/91.41 resimpclauses = 20000
% 90.98/91.41 substype = standard
% 90.98/91.41 backwardsubs = 1
% 90.98/91.41 selectoldest = 5
% 90.98/91.41
% 90.98/91.41 litorderings [0] = split
% 90.98/91.41 litorderings [1] = liftord
% 90.98/91.41
% 90.98/91.41 termordering = none
% 90.98/91.41
% 90.98/91.41 litapriori = 1
% 90.98/91.41 termapriori = 0
% 90.98/91.41 litaposteriori = 0
% 90.98/91.41 termaposteriori = 0
% 90.98/91.41 demodaposteriori = 0
% 90.98/91.41 ordereqreflfact = 0
% 90.98/91.41
% 90.98/91.41 litselect = none
% 90.98/91.41
% 90.98/91.41 maxweight = 15
% 90.98/91.41 maxdepth = 30000
% 90.98/91.41 maxlength = 115
% 90.98/91.41 maxnrvars = 195
% 90.98/91.41 excuselevel = 1
% 90.98/91.41 increasemaxweight = 1
% 90.98/91.41
% 90.98/91.41 maxselected = 10000000
% 90.98/91.41 maxnrclauses = 10000000
% 90.98/91.41
% 90.98/91.41 showgenerated = 0
% 90.98/91.41 showkept = 0
% 90.98/91.41 showselected = 0
% 90.98/91.41 showdeleted = 0
% 90.98/91.41 showresimp = 1
% 90.98/91.41 showstatus = 2000
% 90.98/91.41
% 90.98/91.41 prologoutput = 0
% 90.98/91.41 nrgoals = 5000000
% 90.98/91.41 totalproof = 1
% 90.98/91.41
% 90.98/91.41 Symbols occurring in the translation:
% 90.98/91.41
% 90.98/91.41 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 90.98/91.41 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 90.98/91.41 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 90.98/91.41 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 90.98/91.41 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 90.98/91.41 distinct_points [36, 2] (w:1, o:44, a:1, s:1, b:0),
% 90.98/91.41 distinct_lines [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 90.98/91.41 convergent_lines [38, 2] (w:1, o:43, a:1, s:1, b:0),
% 90.98/91.41 line_connecting [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 90.98/91.41 apart_point_and_line [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 90.98/91.41 intersection_point [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 90.98/91.41 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 90.98/91.41 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 90.98/91.41 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0).
% 90.98/91.41
% 90.98/91.41
% 90.98/91.41 Starting Search:
% 90.98/91.41
% 90.98/91.41 *** allocated 15000 integers for clauses
% 90.98/91.41 *** allocated 22500 integers for clauses
% 90.98/91.41 *** allocated 33750 integers for clauses
% 90.98/91.41 Resimplifying inuse:
% 90.98/91.41 Done
% 90.98/91.41
% 90.98/91.41 Failed to find proof!
% 90.98/91.41 maxweight = 15
% 90.98/91.41 maxnrclauses = 10000000
% 90.98/91.41 Generated: 397171
% 90.98/91.41 Kept: 658
% 90.98/91.41
% 90.98/91.41
% 90.98/91.41 The strategy used was not complete!
% 90.98/91.41
% 90.98/91.41 Increased maxweight to 16
% 90.98/91.41
% 90.98/91.41 Starting Search:
% 90.98/91.41
% 90.98/91.41 *** allocated 15000 integers for termspace/termends
% 90.98/91.41 Resimplifying inuse:
% 90.98/91.41 Done
% 90.98/91.41
% 90.98/91.41 Failed to find proof!
% 90.98/91.41 maxweight = 16
% 90.98/91.41 maxnrclauses = 10000000
% 90.98/91.41 Generated: 399059
% 90.98/91.41 Kept: 674
% 90.98/91.41
% 90.98/91.41
% 90.98/91.41 The strategy used was not complete!
% 90.98/91.41
% 90.98/91.41 Increased maxweight to 17
% 90.98/91.41
% 90.98/91.41 Starting Search:
% 90.98/91.41
% 90.98/91.41 Resimplifying inuse:
% 90.98/91.41 Done
% 90.98/91.41
% 90.98/91.41 Failed to find proof!
% 90.98/91.41 maxweight = 17
% 90.98/91.41 maxnrclauses = 10000000
% 90.98/91.41 Generated: 416211
% 90.98/91.41 Kept: 802
% 90.98/91.41
% 90.98/91.41
% 90.98/91.41 The strategy used was not complete!
% 90.98/91.41
% 90.98/91.41 Increased maxweight to 18
% 90.98/91.41
% 90.98/91.41 Starting Search:
% 90.98/91.41
% 90.98/91.41 *** allocated 22500 integers for termspace/termends
% 90.98/91.41 *** allocated 50625 integers for clauses
% 90.98/91.41 Resimplifying inuse:
% 90.98/91.41 Done
% 90.98/91.41
% 90.98/91.41 *** allocated 33750 integers for termspace/termends
% 90.98/91.41 *** allocated 75937 integers for clauses
% 90.98/91.41 Resimplifying inuse:
% 90.98/91.41 Done
% 90.98/91.41
% 90.98/91.41 Failed to find proof!
% 90.98/91.41 maxweight = 18
% 90.98/91.41 maxnrclauses = 10000000
% 90.98/91.41 Generated: 2843859
% 90.98/91.41 Kept: 1522
% 90.98/91.41
% 90.98/91.41
% 90.98/91.41 The strategy used was not complete!
% 90.98/91.41
% 90.98/91.41 Increased maxweight to 19
% 90.98/91.41
% 90.98/91.41 Starting Search:
% 90.98/91.41
% 90.98/91.41 Resimplifying inuse:
% 90.98/91.41 Done
% 90.98/91.41
% 90.98/91.41
% 90.98/91.41 Bliksems!, er is een bewijs:
% 90.98/91.41 % SZS status Theorem
% 90.98/91.41 % SZS output start Refutation
% 90.98/91.41
% 90.98/91.41 (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 90.98/91.41 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 90.98/91.41 (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 90.98/91.41 ), ! distinct_points( X, Y ) }.
% 90.98/91.41 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 90.98/91.41 , ! distinct_lines( X, Y ) }.
% 90.98/91.41 (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ), distinct_points( Z
% 90.98/91.41 , X ), ! apart_point_and_line( Z, line_connecting( X, Y ) ) }.
% 90.98/91.41 (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ), distinct_points( Z
% 90.98/91.41 , Y ), ! apart_point_and_line( Z, line_connecting( X, Y ) ) }.
% 90.98/91.41 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 90.98/91.41 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 90.98/91.41 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 90.98/91.41 (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 90.98/91.41 ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 90.98/91.41 (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 ) }.
% 90.98/91.41 (15) {G0,W3,D2,L1,V0,M1} I { ! distinct_points( skol2, skol3 ) }.
% 90.98/91.41 (16) {G0,W10,D3,L2,V0,M1} I { ! distinct_points( skol1, skol3 ),
% 90.98/91.41 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol1,
% 90.98/91.41 skol3 ) ) }.
% 90.98/91.41 (19) {G1,W6,D2,L2,V1,M1} R(3,14) { distinct_points( skol1, X ),
% 90.98/91.41 distinct_points( skol2, X ) }.
% 90.98/91.41 (21) {G1,W6,D2,L2,V1,M1} R(3,15) { ! distinct_points( X, skol2 ),
% 90.98/91.41 distinct_points( X, skol3 ) }.
% 90.98/91.41 (22) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 90.98/91.41 distinct_points( X, Y ) }.
% 90.98/91.41 (26) {G2,W3,D2,L1,V0,M1} R(22,15) { ! distinct_points( skol3, skol2 ) }.
% 90.98/91.41 (28) {G3,W6,D2,L2,V1,M1} R(26,3) { distinct_points( X, skol2 ), !
% 90.98/91.41 distinct_points( X, skol3 ) }.
% 90.98/91.41 (32) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 90.98/91.41 ( X, Y ) }.
% 90.98/91.41 (51) {G4,W3,D2,L1,V0,M1} R(19,28);r(0) { distinct_points( skol1, skol3 )
% 90.98/91.41 }.
% 90.98/91.41 (98) {G1,W25,D3,L7,V5,M3} R(10,6) { ! distinct_points( X, Y ), !
% 90.98/91.41 distinct_lines( line_connecting( Z, T ), U ), ! distinct_points( Z, T ),
% 90.98/91.41 distinct_points( X, Z ), apart_point_and_line( X, U ),
% 90.98/91.41 apart_point_and_line( Y, line_connecting( Z, T ) ), apart_point_and_line
% 90.98/91.41 ( Y, U ) }.
% 90.98/91.41 (99) {G2,W19,D3,L5,V3,M3} F(98);r(0) { ! distinct_points( X, Y ), !
% 90.98/91.41 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( Y,
% 90.98/91.41 line_connecting( X, Y ) ), apart_point_and_line( Y, Z ),
% 90.98/91.41 apart_point_and_line( X, Z ) }.
% 90.98/91.41 (121) {G1,W12,D2,L4,V4,M2} R(11,11) { distinct_points( X, Y ),
% 90.98/91.41 distinct_points( Y, T ), apart_point_and_line( T, Z ), !
% 90.98/91.41 apart_point_and_line( X, Z ) }.
% 90.98/91.41 (128) {G1,W14,D3,L4,V4,M1} R(11,7) { distinct_points( X, Y ), !
% 90.98/91.41 distinct_points( Z, T ), distinct_points( Y, T ), ! apart_point_and_line
% 90.98/91.41 ( X, line_connecting( Z, T ) ) }.
% 90.98/91.41 (129) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y ), !
% 90.98/91.41 distinct_points( Z, T ), distinct_points( Y, Z ), ! apart_point_and_line
% 90.98/91.41 ( X, line_connecting( Z, T ) ) }.
% 90.98/91.41 (130) {G2,W8,D3,L2,V2,M1} F(129);r(0) { ! distinct_points( X, Y ), !
% 90.98/91.41 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 90.98/91.41 (131) {G2,W8,D3,L2,V2,M1} F(128);r(0) { ! distinct_points( Y, X ), !
% 90.98/91.41 apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 90.98/91.41 (169) {G5,W7,D3,L1,V0,M1} S(16);r(51) { distinct_lines( line_connecting(
% 90.98/91.41 skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 90.98/91.41 (173) {G6,W7,D3,L1,V0,M1} R(169,32) { distinct_lines( line_connecting(
% 90.98/91.41 skol1, skol3 ), line_connecting( skol1, skol2 ) ) }.
% 90.98/91.41 (770) {G2,W17,D3,L5,V5,M1} R(121,7) { distinct_points( X, Y ),
% 90.98/91.41 distinct_points( Y, Z ), ! distinct_points( T, U ), distinct_points( Z, U
% 90.98/91.41 ), ! apart_point_and_line( X, line_connecting( T, U ) ) }.
% 90.98/91.41 (773) {G3,W11,D3,L3,V3,M1} F(770);r(22) { distinct_points( Y, X ), !
% 90.98/91.41 distinct_points( Z, Y ), ! apart_point_and_line( X, line_connecting( Z, Y
% 90.98/91.41 ) ) }.
% 90.98/91.41 (1448) {G3,W14,D3,L4,V3,M2} S(99);r(131) { ! distinct_points( X, Y ), !
% 90.98/91.41 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( X, Z
% 90.98/91.41 ), apart_point_and_line( Y, Z ) }.
% 90.98/91.41 (1610) {G4,W18,D3,L4,V3,M1} R(1448,130) { ! distinct_points( X, Y ), !
% 90.98/91.41 distinct_lines( line_connecting( X, Y ), line_connecting( X, Z ) ), !
% 90.98/91.41 distinct_points( X, Z ), apart_point_and_line( Y, line_connecting( X, Z )
% 90.98/91.41 ) }.
% 90.98/91.41 (1628) {G5,W16,D3,L4,V3,M1} R(1610,773);f { ! distinct_points( X, Y ), !
% 90.98/91.41 distinct_points( X, Z ), distinct_points( Z, Y ), ! distinct_lines(
% 90.98/91.41 line_connecting( X, Y ), line_connecting( X, Z ) ) }.
% 90.98/91.41 (1678) {G7,W6,D2,L2,V0,M1} R(1628,173);r(21) { ! distinct_points( skol1,
% 90.98/91.41 skol2 ), distinct_points( skol2, skol3 ) }.
% 90.98/91.41 (1738) {G8,W0,D0,L0,V0,M0} S(1678);r(14);r(15) { }.
% 90.98/91.41
% 90.98/91.41
% 90.98/91.41 % SZS output end Refutation
% 90.98/91.41 found a proof!
% 90.98/91.41
% 90.98/91.41
% 90.98/91.41 Unprocessed initial clauses:
% 90.98/91.41
% 90.98/91.41 (1740) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 90.98/91.41 (1741) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 90.98/91.41 (1742) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 90.98/91.41 (1743) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 90.98/91.41 , Z ), distinct_points( Y, Z ) }.
% 90.98/91.41 (1744) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 90.98/91.41 Z ), distinct_lines( Y, Z ) }.
% 90.98/91.41 (1745) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 90.98/91.41 ( X, Z ), convergent_lines( Y, Z ) }.
% 90.98/91.41 (1746) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 90.98/91.41 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 90.98/91.41 ) }.
% 90.98/91.41 (1747) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 90.98/91.41 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 90.98/91.41 ) }.
% 90.98/91.41 (1748) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 90.98/91.41 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 90.98/91.41 Y ) ) }.
% 90.98/91.41 (1749) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 90.98/91.41 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 90.98/91.41 Y ) ) }.
% 90.98/91.41 (1750) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 90.98/91.41 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 90.98/91.41 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 90.98/91.41 (1751) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 90.98/91.41 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 90.98/91.41 (1752) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 90.98/91.41 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 90.98/91.41 (1753) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ), distinct_lines( X
% 90.98/91.41 , Y ) }.
% 90.98/91.41 (1754) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 90.98/91.41 (1755) {G0,W3,D2,L1,V0,M1} { ! distinct_points( skol2, skol3 ) }.
% 90.98/91.41 (1756) {G0,W10,D3,L2,V0,M2} { ! distinct_points( skol1, skol3 ),
% 90.98/91.41 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol1,
% 90.98/91.41 skol3 ) ) }.
% 90.98/91.41
% 90.98/91.41
% 90.98/91.41 Total Proof:
% 90.98/91.41
% 90.98/91.41 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 90.98/91.41 parent0: (1740) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 0
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 90.98/91.41 parent0: (1741) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 0
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 90.98/91.41 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 90.98/91.41 parent0: (1743) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ),
% 90.98/91.41 distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Y
% 90.98/91.41 Z := Z
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 2
% 90.98/91.41 1 ==> 0
% 90.98/91.41 2 ==> 1
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 90.98/91.41 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 90.98/91.41 parent0: (1744) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 90.98/91.41 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Y
% 90.98/91.41 Z := Z
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 2
% 90.98/91.41 1 ==> 0
% 90.98/91.41 2 ==> 1
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 90.98/91.41 distinct_points( Z, X ), ! apart_point_and_line( Z, line_connecting( X, Y
% 90.98/91.41 ) ) }.
% 90.98/91.41 parent0: (1746) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 90.98/91.41 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 90.98/91.41 ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Y
% 90.98/91.41 Z := Z
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 0
% 90.98/91.41 1 ==> 2
% 90.98/91.41 2 ==> 1
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 90.98/91.41 distinct_points( Z, Y ), ! apart_point_and_line( Z, line_connecting( X, Y
% 90.98/91.41 ) ) }.
% 90.98/91.41 parent0: (1747) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 90.98/91.41 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 90.98/91.41 ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Y
% 90.98/91.41 Z := Z
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 0
% 90.98/91.41 1 ==> 2
% 90.98/91.41 2 ==> 1
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 90.98/91.41 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 90.98/91.41 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 90.98/91.41 apart_point_and_line( X, Z ) }.
% 90.98/91.41 parent0: (1750) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 90.98/91.41 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 90.98/91.41 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 90.98/91.41 apart_point_and_line( Y, T ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Y
% 90.98/91.41 Z := Z
% 90.98/91.41 T := T
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 0
% 90.98/91.41 1 ==> 1
% 90.98/91.41 2 ==> 5
% 90.98/91.41 3 ==> 2
% 90.98/91.41 4 ==> 3
% 90.98/91.41 5 ==> 4
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 90.98/91.41 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 90.98/91.41 parent0: (1751) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 90.98/91.41 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Y
% 90.98/91.41 Z := Z
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 2
% 90.98/91.41 1 ==> 0
% 90.98/91.41 2 ==> 1
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 90.98/91.41 }.
% 90.98/91.41 parent0: (1754) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 0
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (15) {G0,W3,D2,L1,V0,M1} I { ! distinct_points( skol2, skol3 )
% 90.98/91.41 }.
% 90.98/91.41 parent0: (1755) {G0,W3,D2,L1,V0,M1} { ! distinct_points( skol2, skol3 )
% 90.98/91.41 }.
% 90.98/91.41 substitution0:
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 0
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (16) {G0,W10,D3,L2,V0,M1} I { ! distinct_points( skol1, skol3
% 90.98/91.41 ), distinct_lines( line_connecting( skol1, skol2 ), line_connecting(
% 90.98/91.41 skol1, skol3 ) ) }.
% 90.98/91.41 parent0: (1756) {G0,W10,D3,L2,V0,M2} { ! distinct_points( skol1, skol3 ),
% 90.98/91.41 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol1,
% 90.98/91.41 skol3 ) ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 0
% 90.98/91.41 1 ==> 1
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 resolution: (1811) {G1,W6,D2,L2,V1,M2} { distinct_points( skol1, X ),
% 90.98/91.41 distinct_points( skol2, X ) }.
% 90.98/91.41 parent0[2]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 90.98/91.41 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 90.98/91.41 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 90.98/91.41 }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := skol1
% 90.98/91.41 Y := skol2
% 90.98/91.41 Z := X
% 90.98/91.41 end
% 90.98/91.41 substitution1:
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (19) {G1,W6,D2,L2,V1,M1} R(3,14) { distinct_points( skol1, X )
% 90.98/91.41 , distinct_points( skol2, X ) }.
% 90.98/91.41 parent0: (1811) {G1,W6,D2,L2,V1,M2} { distinct_points( skol1, X ),
% 90.98/91.41 distinct_points( skol2, X ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 0
% 90.98/91.41 1 ==> 1
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 resolution: (1813) {G1,W6,D2,L2,V1,M2} { distinct_points( X, skol3 ), !
% 90.98/91.41 distinct_points( X, skol2 ) }.
% 90.98/91.41 parent0[0]: (15) {G0,W3,D2,L1,V0,M1} I { ! distinct_points( skol2, skol3 )
% 90.98/91.41 }.
% 90.98/91.41 parent1[1]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 90.98/91.41 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 end
% 90.98/91.41 substitution1:
% 90.98/91.41 X := X
% 90.98/91.41 Y := skol2
% 90.98/91.41 Z := skol3
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (21) {G1,W6,D2,L2,V1,M1} R(3,15) { ! distinct_points( X, skol2
% 90.98/91.41 ), distinct_points( X, skol3 ) }.
% 90.98/91.41 parent0: (1813) {G1,W6,D2,L2,V1,M2} { distinct_points( X, skol3 ), !
% 90.98/91.41 distinct_points( X, skol2 ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 1
% 90.98/91.41 1 ==> 0
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 resolution: (1814) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 90.98/91.41 distinct_points( X, Y ) }.
% 90.98/91.41 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 90.98/91.41 parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 90.98/91.41 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 end
% 90.98/91.41 substitution1:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Y
% 90.98/91.41 Z := X
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (22) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 90.98/91.41 distinct_points( X, Y ) }.
% 90.98/91.41 parent0: (1814) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 90.98/91.41 distinct_points( X, Y ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := Y
% 90.98/91.41 Y := X
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 1
% 90.98/91.41 1 ==> 0
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 resolution: (1816) {G1,W3,D2,L1,V0,M1} { ! distinct_points( skol3, skol2 )
% 90.98/91.41 }.
% 90.98/91.41 parent0[0]: (15) {G0,W3,D2,L1,V0,M1} I { ! distinct_points( skol2, skol3 )
% 90.98/91.41 }.
% 90.98/91.41 parent1[1]: (22) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 90.98/91.41 distinct_points( X, Y ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 end
% 90.98/91.41 substitution1:
% 90.98/91.41 X := skol2
% 90.98/91.41 Y := skol3
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (26) {G2,W3,D2,L1,V0,M1} R(22,15) { ! distinct_points( skol3,
% 90.98/91.41 skol2 ) }.
% 90.98/91.41 parent0: (1816) {G1,W3,D2,L1,V0,M1} { ! distinct_points( skol3, skol2 )
% 90.98/91.41 }.
% 90.98/91.41 substitution0:
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 0
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 resolution: (1818) {G1,W6,D2,L2,V1,M2} { distinct_points( X, skol2 ), !
% 90.98/91.41 distinct_points( X, skol3 ) }.
% 90.98/91.41 parent0[0]: (26) {G2,W3,D2,L1,V0,M1} R(22,15) { ! distinct_points( skol3,
% 90.98/91.41 skol2 ) }.
% 90.98/91.41 parent1[1]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 90.98/91.41 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 end
% 90.98/91.41 substitution1:
% 90.98/91.41 X := X
% 90.98/91.41 Y := skol3
% 90.98/91.41 Z := skol2
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (28) {G3,W6,D2,L2,V1,M1} R(26,3) { distinct_points( X, skol2 )
% 90.98/91.41 , ! distinct_points( X, skol3 ) }.
% 90.98/91.41 parent0: (1818) {G1,W6,D2,L2,V1,M2} { distinct_points( X, skol2 ), !
% 90.98/91.41 distinct_points( X, skol3 ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 0
% 90.98/91.41 1 ==> 1
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 resolution: (1819) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 90.98/91.41 distinct_lines( X, Y ) }.
% 90.98/91.41 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 90.98/91.41 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 90.98/91.41 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 end
% 90.98/91.41 substitution1:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Y
% 90.98/91.41 Z := X
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (32) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 90.98/91.41 distinct_lines( X, Y ) }.
% 90.98/91.41 parent0: (1819) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 90.98/91.41 distinct_lines( X, Y ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := Y
% 90.98/91.41 Y := X
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 1
% 90.98/91.41 1 ==> 0
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 resolution: (1822) {G2,W6,D2,L2,V0,M2} { distinct_points( skol2, skol2 ),
% 90.98/91.41 distinct_points( skol1, skol3 ) }.
% 90.98/91.41 parent0[1]: (28) {G3,W6,D2,L2,V1,M1} R(26,3) { distinct_points( X, skol2 )
% 90.98/91.41 , ! distinct_points( X, skol3 ) }.
% 90.98/91.41 parent1[1]: (19) {G1,W6,D2,L2,V1,M1} R(3,14) { distinct_points( skol1, X )
% 90.98/91.41 , distinct_points( skol2, X ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := skol2
% 90.98/91.41 end
% 90.98/91.41 substitution1:
% 90.98/91.41 X := skol3
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 resolution: (1823) {G1,W3,D2,L1,V0,M1} { distinct_points( skol1, skol3 )
% 90.98/91.41 }.
% 90.98/91.41 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 90.98/91.41 parent1[0]: (1822) {G2,W6,D2,L2,V0,M2} { distinct_points( skol2, skol2 ),
% 90.98/91.41 distinct_points( skol1, skol3 ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := skol2
% 90.98/91.41 end
% 90.98/91.41 substitution1:
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (51) {G4,W3,D2,L1,V0,M1} R(19,28);r(0) { distinct_points(
% 90.98/91.41 skol1, skol3 ) }.
% 90.98/91.41 parent0: (1823) {G1,W3,D2,L1,V0,M1} { distinct_points( skol1, skol3 ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 0
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 resolution: (1835) {G1,W25,D3,L7,V5,M7} { ! distinct_points( X, Y ),
% 90.98/91.41 distinct_points( Z, X ), ! distinct_points( Z, T ), ! distinct_lines(
% 90.98/91.41 line_connecting( X, Y ), U ), apart_point_and_line( Z, U ),
% 90.98/91.41 apart_point_and_line( T, line_connecting( X, Y ) ), apart_point_and_line
% 90.98/91.41 ( T, U ) }.
% 90.98/91.41 parent0[2]: (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 90.98/91.41 distinct_points( Z, X ), ! apart_point_and_line( Z, line_connecting( X, Y
% 90.98/91.41 ) ) }.
% 90.98/91.41 parent1[5]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 90.98/91.41 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 90.98/91.41 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 90.98/91.41 apart_point_and_line( X, Z ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Y
% 90.98/91.41 Z := Z
% 90.98/91.41 end
% 90.98/91.41 substitution1:
% 90.98/91.41 X := Z
% 90.98/91.41 Y := T
% 90.98/91.41 Z := line_connecting( X, Y )
% 90.98/91.41 T := U
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (98) {G1,W25,D3,L7,V5,M3} R(10,6) { ! distinct_points( X, Y )
% 90.98/91.41 , ! distinct_lines( line_connecting( Z, T ), U ), ! distinct_points( Z, T
% 90.98/91.41 ), distinct_points( X, Z ), apart_point_and_line( X, U ),
% 90.98/91.41 apart_point_and_line( Y, line_connecting( Z, T ) ), apart_point_and_line
% 90.98/91.41 ( Y, U ) }.
% 90.98/91.41 parent0: (1835) {G1,W25,D3,L7,V5,M7} { ! distinct_points( X, Y ),
% 90.98/91.41 distinct_points( Z, X ), ! distinct_points( Z, T ), ! distinct_lines(
% 90.98/91.41 line_connecting( X, Y ), U ), apart_point_and_line( Z, U ),
% 90.98/91.41 apart_point_and_line( T, line_connecting( X, Y ) ), apart_point_and_line
% 90.98/91.41 ( T, U ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := Z
% 90.98/91.41 Y := T
% 90.98/91.41 Z := X
% 90.98/91.41 T := Y
% 90.98/91.41 U := U
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 2
% 90.98/91.41 1 ==> 3
% 90.98/91.41 2 ==> 0
% 90.98/91.41 3 ==> 1
% 90.98/91.41 4 ==> 4
% 90.98/91.41 5 ==> 5
% 90.98/91.41 6 ==> 6
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 factor: (1850) {G1,W22,D3,L6,V3,M6} { ! distinct_points( X, Y ), !
% 90.98/91.41 distinct_lines( line_connecting( X, Y ), Z ), distinct_points( X, X ),
% 90.98/91.41 apart_point_and_line( X, Z ), apart_point_and_line( Y, line_connecting( X
% 90.98/91.41 , Y ) ), apart_point_and_line( Y, Z ) }.
% 90.98/91.41 parent0[0, 2]: (98) {G1,W25,D3,L7,V5,M3} R(10,6) { ! distinct_points( X, Y
% 90.98/91.41 ), ! distinct_lines( line_connecting( Z, T ), U ), ! distinct_points( Z
% 90.98/91.41 , T ), distinct_points( X, Z ), apart_point_and_line( X, U ),
% 90.98/91.41 apart_point_and_line( Y, line_connecting( Z, T ) ), apart_point_and_line
% 90.98/91.41 ( Y, U ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Y
% 90.98/91.41 Z := X
% 90.98/91.41 T := Y
% 90.98/91.41 U := Z
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 resolution: (1858) {G1,W19,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 90.98/91.41 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( X, Z
% 90.98/91.41 ), apart_point_and_line( Y, line_connecting( X, Y ) ),
% 90.98/91.41 apart_point_and_line( Y, Z ) }.
% 90.98/91.41 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 90.98/91.41 parent1[2]: (1850) {G1,W22,D3,L6,V3,M6} { ! distinct_points( X, Y ), !
% 90.98/91.41 distinct_lines( line_connecting( X, Y ), Z ), distinct_points( X, X ),
% 90.98/91.41 apart_point_and_line( X, Z ), apart_point_and_line( Y, line_connecting( X
% 90.98/91.41 , Y ) ), apart_point_and_line( Y, Z ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 end
% 90.98/91.41 substitution1:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Y
% 90.98/91.41 Z := Z
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (99) {G2,W19,D3,L5,V3,M3} F(98);r(0) { ! distinct_points( X, Y
% 90.98/91.41 ), ! distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line
% 90.98/91.41 ( Y, line_connecting( X, Y ) ), apart_point_and_line( Y, Z ),
% 90.98/91.41 apart_point_and_line( X, Z ) }.
% 90.98/91.41 parent0: (1858) {G1,W19,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 90.98/91.41 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( X, Z
% 90.98/91.41 ), apart_point_and_line( Y, line_connecting( X, Y ) ),
% 90.98/91.41 apart_point_and_line( Y, Z ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Y
% 90.98/91.41 Z := Z
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 0
% 90.98/91.41 1 ==> 1
% 90.98/91.41 2 ==> 4
% 90.98/91.41 3 ==> 2
% 90.98/91.41 4 ==> 3
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 resolution: (1863) {G1,W12,D2,L4,V4,M4} { distinct_points( X, Y ),
% 90.98/91.41 apart_point_and_line( Y, Z ), distinct_points( T, X ), !
% 90.98/91.41 apart_point_and_line( T, Z ) }.
% 90.98/91.41 parent0[2]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 90.98/91.41 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 90.98/91.41 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 90.98/91.41 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Z
% 90.98/91.41 Z := Y
% 90.98/91.41 end
% 90.98/91.41 substitution1:
% 90.98/91.41 X := T
% 90.98/91.41 Y := Z
% 90.98/91.41 Z := X
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (121) {G1,W12,D2,L4,V4,M2} R(11,11) { distinct_points( X, Y )
% 90.98/91.41 , distinct_points( Y, T ), apart_point_and_line( T, Z ), !
% 90.98/91.41 apart_point_and_line( X, Z ) }.
% 90.98/91.41 parent0: (1863) {G1,W12,D2,L4,V4,M4} { distinct_points( X, Y ),
% 90.98/91.41 apart_point_and_line( Y, Z ), distinct_points( T, X ), !
% 90.98/91.41 apart_point_and_line( T, Z ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := Y
% 90.98/91.41 Y := T
% 90.98/91.41 Z := Z
% 90.98/91.41 T := X
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 1
% 90.98/91.41 1 ==> 2
% 90.98/91.41 2 ==> 0
% 90.98/91.41 3 ==> 3
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 resolution: (1866) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 90.98/91.41 distinct_points( Z, Y ), distinct_points( T, Z ), ! apart_point_and_line
% 90.98/91.41 ( T, line_connecting( X, Y ) ) }.
% 90.98/91.41 parent0[2]: (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 90.98/91.41 distinct_points( Z, Y ), ! apart_point_and_line( Z, line_connecting( X, Y
% 90.98/91.41 ) ) }.
% 90.98/91.41 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 90.98/91.41 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Y
% 90.98/91.41 Z := Z
% 90.98/91.41 end
% 90.98/91.41 substitution1:
% 90.98/91.41 X := T
% 90.98/91.41 Y := line_connecting( X, Y )
% 90.98/91.41 Z := Z
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (128) {G1,W14,D3,L4,V4,M1} R(11,7) { distinct_points( X, Y ),
% 90.98/91.41 ! distinct_points( Z, T ), distinct_points( Y, T ), !
% 90.98/91.41 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 90.98/91.41 parent0: (1866) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 90.98/91.41 distinct_points( Z, Y ), distinct_points( T, Z ), ! apart_point_and_line
% 90.98/91.41 ( T, line_connecting( X, Y ) ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := Z
% 90.98/91.41 Y := T
% 90.98/91.41 Z := Y
% 90.98/91.41 T := X
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 1
% 90.98/91.41 1 ==> 2
% 90.98/91.41 2 ==> 0
% 90.98/91.41 3 ==> 3
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 resolution: (1870) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 90.98/91.41 distinct_points( Z, X ), distinct_points( T, Z ), ! apart_point_and_line
% 90.98/91.41 ( T, line_connecting( X, Y ) ) }.
% 90.98/91.41 parent0[2]: (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 90.98/91.41 distinct_points( Z, X ), ! apart_point_and_line( Z, line_connecting( X, Y
% 90.98/91.41 ) ) }.
% 90.98/91.41 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 90.98/91.41 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Y
% 90.98/91.41 Z := Z
% 90.98/91.41 end
% 90.98/91.41 substitution1:
% 90.98/91.41 X := T
% 90.98/91.41 Y := line_connecting( X, Y )
% 90.98/91.41 Z := Z
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (129) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y ),
% 90.98/91.41 ! distinct_points( Z, T ), distinct_points( Y, Z ), !
% 90.98/91.41 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 90.98/91.41 parent0: (1870) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 90.98/91.41 distinct_points( Z, X ), distinct_points( T, Z ), ! apart_point_and_line
% 90.98/91.41 ( T, line_connecting( X, Y ) ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := Z
% 90.98/91.41 Y := T
% 90.98/91.41 Z := Y
% 90.98/91.41 T := X
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 1
% 90.98/91.41 1 ==> 2
% 90.98/91.41 2 ==> 0
% 90.98/91.41 3 ==> 3
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 factor: (1873) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 90.98/91.41 distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X, Y
% 90.98/91.41 ) ) }.
% 90.98/91.41 parent0[0, 2]: (129) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y )
% 90.98/91.41 , ! distinct_points( Z, T ), distinct_points( Y, Z ), !
% 90.98/91.41 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 Y := X
% 90.98/91.41 Z := X
% 90.98/91.41 T := Y
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 resolution: (1874) {G1,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 90.98/91.41 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 90.98/91.41 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 90.98/91.41 parent1[0]: (1873) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 90.98/91.41 distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X, Y
% 90.98/91.41 ) ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 end
% 90.98/91.41 substitution1:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Y
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (130) {G2,W8,D3,L2,V2,M1} F(129);r(0) { ! distinct_points( X,
% 90.98/91.41 Y ), ! apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 90.98/91.41 parent0: (1874) {G1,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 90.98/91.41 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Y
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 0
% 90.98/91.41 1 ==> 1
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 factor: (1875) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 90.98/91.41 distinct_points( Y, X ), ! apart_point_and_line( X, line_connecting( Y, X
% 90.98/91.41 ) ) }.
% 90.98/91.41 parent0[0, 2]: (128) {G1,W14,D3,L4,V4,M1} R(11,7) { distinct_points( X, Y )
% 90.98/91.41 , ! distinct_points( Z, T ), distinct_points( Y, T ), !
% 90.98/91.41 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 Y := X
% 90.98/91.41 Z := Y
% 90.98/91.41 T := X
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 resolution: (1876) {G1,W8,D3,L2,V2,M2} { ! distinct_points( Y, X ), !
% 90.98/91.41 apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 90.98/91.41 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 90.98/91.41 parent1[0]: (1875) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 90.98/91.41 distinct_points( Y, X ), ! apart_point_and_line( X, line_connecting( Y, X
% 90.98/91.41 ) ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 end
% 90.98/91.41 substitution1:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Y
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (131) {G2,W8,D3,L2,V2,M1} F(128);r(0) { ! distinct_points( Y,
% 90.98/91.41 X ), ! apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 90.98/91.41 parent0: (1876) {G1,W8,D3,L2,V2,M2} { ! distinct_points( Y, X ), !
% 90.98/91.41 apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Y
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 0
% 90.98/91.41 1 ==> 1
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 resolution: (1877) {G1,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 90.98/91.41 skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 90.98/91.41 parent0[0]: (16) {G0,W10,D3,L2,V0,M1} I { ! distinct_points( skol1, skol3 )
% 90.98/91.41 , distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol1
% 90.98/91.41 , skol3 ) ) }.
% 90.98/91.41 parent1[0]: (51) {G4,W3,D2,L1,V0,M1} R(19,28);r(0) { distinct_points( skol1
% 90.98/91.41 , skol3 ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 end
% 90.98/91.41 substitution1:
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (169) {G5,W7,D3,L1,V0,M1} S(16);r(51) { distinct_lines(
% 90.98/91.41 line_connecting( skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 90.98/91.41 parent0: (1877) {G1,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 90.98/91.41 skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 0
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 resolution: (1878) {G2,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 90.98/91.41 skol1, skol3 ), line_connecting( skol1, skol2 ) ) }.
% 90.98/91.41 parent0[0]: (32) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 90.98/91.41 distinct_lines( X, Y ) }.
% 90.98/91.41 parent1[0]: (169) {G5,W7,D3,L1,V0,M1} S(16);r(51) { distinct_lines(
% 90.98/91.41 line_connecting( skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := line_connecting( skol1, skol3 )
% 90.98/91.41 Y := line_connecting( skol1, skol2 )
% 90.98/91.41 end
% 90.98/91.41 substitution1:
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (173) {G6,W7,D3,L1,V0,M1} R(169,32) { distinct_lines(
% 90.98/91.41 line_connecting( skol1, skol3 ), line_connecting( skol1, skol2 ) ) }.
% 90.98/91.41 parent0: (1878) {G2,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 90.98/91.41 skol1, skol3 ), line_connecting( skol1, skol2 ) ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 0
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 resolution: (1881) {G1,W17,D3,L5,V5,M5} { ! distinct_points( X, Y ),
% 90.98/91.41 distinct_points( Z, Y ), distinct_points( T, U ), distinct_points( U, Z )
% 90.98/91.41 , ! apart_point_and_line( T, line_connecting( X, Y ) ) }.
% 90.98/91.41 parent0[2]: (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 90.98/91.41 distinct_points( Z, Y ), ! apart_point_and_line( Z, line_connecting( X, Y
% 90.98/91.41 ) ) }.
% 90.98/91.41 parent1[2]: (121) {G1,W12,D2,L4,V4,M2} R(11,11) { distinct_points( X, Y ),
% 90.98/91.41 distinct_points( Y, T ), apart_point_and_line( T, Z ), !
% 90.98/91.41 apart_point_and_line( X, Z ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Y
% 90.98/91.41 Z := Z
% 90.98/91.41 end
% 90.98/91.41 substitution1:
% 90.98/91.41 X := T
% 90.98/91.41 Y := U
% 90.98/91.41 Z := line_connecting( X, Y )
% 90.98/91.41 T := Z
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (770) {G2,W17,D3,L5,V5,M1} R(121,7) { distinct_points( X, Y )
% 90.98/91.41 , distinct_points( Y, Z ), ! distinct_points( T, U ), distinct_points( Z
% 90.98/91.41 , U ), ! apart_point_and_line( X, line_connecting( T, U ) ) }.
% 90.98/91.41 parent0: (1881) {G1,W17,D3,L5,V5,M5} { ! distinct_points( X, Y ),
% 90.98/91.41 distinct_points( Z, Y ), distinct_points( T, U ), distinct_points( U, Z )
% 90.98/91.41 , ! apart_point_and_line( T, line_connecting( X, Y ) ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := T
% 90.98/91.41 Y := U
% 90.98/91.41 Z := Z
% 90.98/91.41 T := X
% 90.98/91.41 U := Y
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 2
% 90.98/91.41 1 ==> 3
% 90.98/91.41 2 ==> 0
% 90.98/91.41 3 ==> 1
% 90.98/91.41 4 ==> 4
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 factor: (1893) {G2,W14,D3,L4,V3,M4} { distinct_points( X, Y ),
% 90.98/91.41 distinct_points( Y, X ), ! distinct_points( Z, Y ), !
% 90.98/91.41 apart_point_and_line( X, line_connecting( Z, Y ) ) }.
% 90.98/91.41 parent0[0, 3]: (770) {G2,W17,D3,L5,V5,M1} R(121,7) { distinct_points( X, Y
% 90.98/91.41 ), distinct_points( Y, Z ), ! distinct_points( T, U ), distinct_points(
% 90.98/91.41 Z, U ), ! apart_point_and_line( X, line_connecting( T, U ) ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Y
% 90.98/91.41 Z := X
% 90.98/91.41 T := Z
% 90.98/91.41 U := Y
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 resolution: (1903) {G2,W14,D3,L4,V3,M4} { distinct_points( Y, X ),
% 90.98/91.41 distinct_points( Y, X ), ! distinct_points( Z, Y ), !
% 90.98/91.41 apart_point_and_line( X, line_connecting( Z, Y ) ) }.
% 90.98/91.41 parent0[0]: (22) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 90.98/91.41 distinct_points( X, Y ) }.
% 90.98/91.41 parent1[0]: (1893) {G2,W14,D3,L4,V3,M4} { distinct_points( X, Y ),
% 90.98/91.41 distinct_points( Y, X ), ! distinct_points( Z, Y ), !
% 90.98/91.41 apart_point_and_line( X, line_connecting( Z, Y ) ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := Y
% 90.98/91.41 Y := X
% 90.98/91.41 end
% 90.98/91.41 substitution1:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Y
% 90.98/91.41 Z := Z
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 factor: (1905) {G2,W11,D3,L3,V3,M3} { distinct_points( X, Y ), !
% 90.98/91.41 distinct_points( Z, X ), ! apart_point_and_line( Y, line_connecting( Z, X
% 90.98/91.41 ) ) }.
% 90.98/91.41 parent0[0, 1]: (1903) {G2,W14,D3,L4,V3,M4} { distinct_points( Y, X ),
% 90.98/91.41 distinct_points( Y, X ), ! distinct_points( Z, Y ), !
% 90.98/91.41 apart_point_and_line( X, line_connecting( Z, Y ) ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := Y
% 90.98/91.41 Y := X
% 90.98/91.41 Z := Z
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (773) {G3,W11,D3,L3,V3,M1} F(770);r(22) { distinct_points( Y,
% 90.98/91.41 X ), ! distinct_points( Z, Y ), ! apart_point_and_line( X,
% 90.98/91.41 line_connecting( Z, Y ) ) }.
% 90.98/91.41 parent0: (1905) {G2,W11,D3,L3,V3,M3} { distinct_points( X, Y ), !
% 90.98/91.41 distinct_points( Z, X ), ! apart_point_and_line( Y, line_connecting( Z, X
% 90.98/91.41 ) ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := Y
% 90.98/91.41 Y := X
% 90.98/91.41 Z := Z
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 0
% 90.98/91.41 1 ==> 1
% 90.98/91.41 2 ==> 2
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 resolution: (1916) {G3,W17,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 90.98/91.41 distinct_points( X, Y ), ! distinct_lines( line_connecting( X, Y ), Z ),
% 90.98/91.41 apart_point_and_line( Y, Z ), apart_point_and_line( X, Z ) }.
% 90.98/91.41 parent0[1]: (131) {G2,W8,D3,L2,V2,M1} F(128);r(0) { ! distinct_points( Y, X
% 90.98/91.41 ), ! apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 90.98/91.41 parent1[2]: (99) {G2,W19,D3,L5,V3,M3} F(98);r(0) { ! distinct_points( X, Y
% 90.98/91.41 ), ! distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line
% 90.98/91.41 ( Y, line_connecting( X, Y ) ), apart_point_and_line( Y, Z ),
% 90.98/91.41 apart_point_and_line( X, Z ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := Y
% 90.98/91.41 Y := X
% 90.98/91.41 end
% 90.98/91.41 substitution1:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Y
% 90.98/91.41 Z := Z
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 factor: (1917) {G3,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 90.98/91.41 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( Y, Z
% 90.98/91.41 ), apart_point_and_line( X, Z ) }.
% 90.98/91.41 parent0[0, 1]: (1916) {G3,W17,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 90.98/91.41 distinct_points( X, Y ), ! distinct_lines( line_connecting( X, Y ), Z ),
% 90.98/91.41 apart_point_and_line( Y, Z ), apart_point_and_line( X, Z ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Y
% 90.98/91.41 Z := Z
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (1448) {G3,W14,D3,L4,V3,M2} S(99);r(131) { ! distinct_points(
% 90.98/91.41 X, Y ), ! distinct_lines( line_connecting( X, Y ), Z ),
% 90.98/91.41 apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ) }.
% 90.98/91.41 parent0: (1917) {G3,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 90.98/91.41 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( Y, Z
% 90.98/91.41 ), apart_point_and_line( X, Z ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Y
% 90.98/91.41 Z := Z
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 0
% 90.98/91.41 1 ==> 1
% 90.98/91.41 2 ==> 3
% 90.98/91.41 3 ==> 2
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 resolution: (1919) {G3,W18,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 90.98/91.41 distinct_points( X, Z ), ! distinct_lines( line_connecting( X, Z ),
% 90.98/91.41 line_connecting( X, Y ) ), apart_point_and_line( Z, line_connecting( X, Y
% 90.98/91.41 ) ) }.
% 90.98/91.41 parent0[1]: (130) {G2,W8,D3,L2,V2,M1} F(129);r(0) { ! distinct_points( X, Y
% 90.98/91.41 ), ! apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 90.98/91.41 parent1[2]: (1448) {G3,W14,D3,L4,V3,M2} S(99);r(131) { ! distinct_points( X
% 90.98/91.41 , Y ), ! distinct_lines( line_connecting( X, Y ), Z ),
% 90.98/91.41 apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Y
% 90.98/91.41 end
% 90.98/91.41 substitution1:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Z
% 90.98/91.41 Z := line_connecting( X, Y )
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (1610) {G4,W18,D3,L4,V3,M1} R(1448,130) { ! distinct_points( X
% 90.98/91.41 , Y ), ! distinct_lines( line_connecting( X, Y ), line_connecting( X, Z )
% 90.98/91.41 ), ! distinct_points( X, Z ), apart_point_and_line( Y, line_connecting(
% 90.98/91.41 X, Z ) ) }.
% 90.98/91.41 parent0: (1919) {G3,W18,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 90.98/91.41 distinct_points( X, Z ), ! distinct_lines( line_connecting( X, Z ),
% 90.98/91.41 line_connecting( X, Y ) ), apart_point_and_line( Z, line_connecting( X, Y
% 90.98/91.41 ) ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Z
% 90.98/91.41 Z := Y
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 2
% 90.98/91.41 1 ==> 0
% 90.98/91.41 2 ==> 1
% 90.98/91.41 3 ==> 3
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 resolution: (1926) {G4,W19,D3,L5,V3,M5} { distinct_points( X, Y ), !
% 90.98/91.41 distinct_points( Z, X ), ! distinct_points( Z, Y ), ! distinct_lines(
% 90.98/91.41 line_connecting( Z, Y ), line_connecting( Z, X ) ), ! distinct_points( Z
% 90.98/91.41 , X ) }.
% 90.98/91.41 parent0[2]: (773) {G3,W11,D3,L3,V3,M1} F(770);r(22) { distinct_points( Y, X
% 90.98/91.41 ), ! distinct_points( Z, Y ), ! apart_point_and_line( X, line_connecting
% 90.98/91.41 ( Z, Y ) ) }.
% 90.98/91.41 parent1[3]: (1610) {G4,W18,D3,L4,V3,M1} R(1448,130) { ! distinct_points( X
% 90.98/91.41 , Y ), ! distinct_lines( line_connecting( X, Y ), line_connecting( X, Z )
% 90.98/91.41 ), ! distinct_points( X, Z ), apart_point_and_line( Y, line_connecting(
% 90.98/91.41 X, Z ) ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := Y
% 90.98/91.41 Y := X
% 90.98/91.41 Z := Z
% 90.98/91.41 end
% 90.98/91.41 substitution1:
% 90.98/91.41 X := Z
% 90.98/91.41 Y := Y
% 90.98/91.41 Z := X
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 factor: (1928) {G4,W16,D3,L4,V3,M4} { distinct_points( X, Y ), !
% 90.98/91.41 distinct_points( Z, X ), ! distinct_points( Z, Y ), ! distinct_lines(
% 90.98/91.41 line_connecting( Z, Y ), line_connecting( Z, X ) ) }.
% 90.98/91.41 parent0[1, 4]: (1926) {G4,W19,D3,L5,V3,M5} { distinct_points( X, Y ), !
% 90.98/91.41 distinct_points( Z, X ), ! distinct_points( Z, Y ), ! distinct_lines(
% 90.98/91.41 line_connecting( Z, Y ), line_connecting( Z, X ) ), ! distinct_points( Z
% 90.98/91.41 , X ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := X
% 90.98/91.41 Y := Y
% 90.98/91.41 Z := Z
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (1628) {G5,W16,D3,L4,V3,M1} R(1610,773);f { ! distinct_points
% 90.98/91.41 ( X, Y ), ! distinct_points( X, Z ), distinct_points( Z, Y ), !
% 90.98/91.41 distinct_lines( line_connecting( X, Y ), line_connecting( X, Z ) ) }.
% 90.98/91.41 parent0: (1928) {G4,W16,D3,L4,V3,M4} { distinct_points( X, Y ), !
% 90.98/91.41 distinct_points( Z, X ), ! distinct_points( Z, Y ), ! distinct_lines(
% 90.98/91.41 line_connecting( Z, Y ), line_connecting( Z, X ) ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := Z
% 90.98/91.41 Y := Y
% 90.98/91.41 Z := X
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 2
% 90.98/91.41 1 ==> 1
% 90.98/91.41 2 ==> 0
% 90.98/91.41 3 ==> 3
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 resolution: (1930) {G6,W9,D2,L3,V0,M3} { ! distinct_points( skol1, skol3 )
% 90.98/91.41 , ! distinct_points( skol1, skol2 ), distinct_points( skol2, skol3 ) }.
% 90.98/91.41 parent0[3]: (1628) {G5,W16,D3,L4,V3,M1} R(1610,773);f { ! distinct_points(
% 90.98/91.41 X, Y ), ! distinct_points( X, Z ), distinct_points( Z, Y ), !
% 90.98/91.41 distinct_lines( line_connecting( X, Y ), line_connecting( X, Z ) ) }.
% 90.98/91.41 parent1[0]: (173) {G6,W7,D3,L1,V0,M1} R(169,32) { distinct_lines(
% 90.98/91.41 line_connecting( skol1, skol3 ), line_connecting( skol1, skol2 ) ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 X := skol1
% 90.98/91.41 Y := skol3
% 90.98/91.41 Z := skol2
% 90.98/91.41 end
% 90.98/91.41 substitution1:
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 resolution: (1931) {G2,W9,D2,L3,V0,M3} { ! distinct_points( skol1, skol2 )
% 90.98/91.41 , distinct_points( skol2, skol3 ), ! distinct_points( skol1, skol2 ) }.
% 90.98/91.41 parent0[0]: (1930) {G6,W9,D2,L3,V0,M3} { ! distinct_points( skol1, skol3 )
% 90.98/91.41 , ! distinct_points( skol1, skol2 ), distinct_points( skol2, skol3 ) }.
% 90.98/91.41 parent1[1]: (21) {G1,W6,D2,L2,V1,M1} R(3,15) { ! distinct_points( X, skol2
% 90.98/91.41 ), distinct_points( X, skol3 ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 end
% 90.98/91.41 substitution1:
% 90.98/91.41 X := skol1
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 factor: (1932) {G2,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol2 ),
% 90.98/91.41 distinct_points( skol2, skol3 ) }.
% 90.98/91.41 parent0[0, 2]: (1931) {G2,W9,D2,L3,V0,M3} { ! distinct_points( skol1,
% 90.98/91.41 skol2 ), distinct_points( skol2, skol3 ), ! distinct_points( skol1, skol2
% 90.98/91.41 ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (1678) {G7,W6,D2,L2,V0,M1} R(1628,173);r(21) { !
% 90.98/91.41 distinct_points( skol1, skol2 ), distinct_points( skol2, skol3 ) }.
% 90.98/91.41 parent0: (1932) {G2,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol2 ),
% 90.98/91.41 distinct_points( skol2, skol3 ) }.
% 90.98/91.41 substitution0:
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 0 ==> 0
% 90.98/91.41 1 ==> 1
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 resolution: (1933) {G1,W3,D2,L1,V0,M1} { distinct_points( skol2, skol3 )
% 90.98/91.41 }.
% 90.98/91.41 parent0[0]: (1678) {G7,W6,D2,L2,V0,M1} R(1628,173);r(21) { !
% 90.98/91.41 distinct_points( skol1, skol2 ), distinct_points( skol2, skol3 ) }.
% 90.98/91.41 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 90.98/91.41 }.
% 90.98/91.41 substitution0:
% 90.98/91.41 end
% 90.98/91.41 substitution1:
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 resolution: (1934) {G1,W0,D0,L0,V0,M0} { }.
% 90.98/91.41 parent0[0]: (15) {G0,W3,D2,L1,V0,M1} I { ! distinct_points( skol2, skol3 )
% 90.98/91.41 }.
% 90.98/91.41 parent1[0]: (1933) {G1,W3,D2,L1,V0,M1} { distinct_points( skol2, skol3 )
% 90.98/91.41 }.
% 90.98/91.41 substitution0:
% 90.98/91.41 end
% 90.98/91.41 substitution1:
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 subsumption: (1738) {G8,W0,D0,L0,V0,M0} S(1678);r(14);r(15) { }.
% 90.98/91.41 parent0: (1934) {G1,W0,D0,L0,V0,M0} { }.
% 90.98/91.41 substitution0:
% 90.98/91.41 end
% 90.98/91.41 permutation0:
% 90.98/91.41 end
% 90.98/91.41
% 90.98/91.41 Proof check complete!
% 90.98/91.41
% 90.98/91.41 Memory use:
% 90.98/91.41
% 90.98/91.41 space for terms: 30083
% 90.98/91.41 space for clauses: 61434
% 90.98/91.41
% 90.98/91.41
% 90.98/91.41 clauses generated: 2857274
% 90.98/91.41 clauses kept: 1739
% 90.98/91.41 clauses selected: 1542
% 90.98/91.41 clauses deleted: 6
% 90.98/91.41 clauses inuse deleted: 0
% 90.98/91.41
% 90.98/91.41 subsentry: 10717815
% 90.98/91.41 literals s-matched: 9502287
% 90.98/91.41 literals matched: 9502170
% 90.98/91.41 full subsumption: 9192641
% 90.98/91.41
% 90.98/91.41 checksum: 17092271
% 90.98/91.41
% 90.98/91.41
% 90.98/91.41 Bliksem ended
%------------------------------------------------------------------------------