TSTP Solution File: GEO200+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO200+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 02:52:39 EDT 2022
% Result : Theorem 3.25s 3.59s
% Output : Refutation 3.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO200+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jun 18 09:02:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 3.25/3.59 *** allocated 10000 integers for termspace/termends
% 3.25/3.59 *** allocated 10000 integers for clauses
% 3.25/3.59 *** allocated 10000 integers for justifications
% 3.25/3.59 Bliksem 1.12
% 3.25/3.59
% 3.25/3.59
% 3.25/3.59 Automatic Strategy Selection
% 3.25/3.59
% 3.25/3.59
% 3.25/3.59 Clauses:
% 3.25/3.59
% 3.25/3.59 { ! distinct_points( X, X ) }.
% 3.25/3.59 { ! distinct_lines( X, X ) }.
% 3.25/3.59 { ! convergent_lines( X, X ) }.
% 3.25/3.59 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 3.25/3.59 ) }.
% 3.25/3.59 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 3.25/3.59 }.
% 3.25/3.59 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 3.25/3.59 , Z ) }.
% 3.25/3.59 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 3.25/3.59 , Y ) ), distinct_points( Z, X ) }.
% 3.25/3.59 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 3.25/3.59 , Y ) ), distinct_points( Z, Y ) }.
% 3.25/3.59 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, X ),
% 3.25/3.59 distinct_points( Z, intersection_point( X, Y ) ) }.
% 3.25/3.59 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, Y ),
% 3.25/3.59 distinct_points( Z, intersection_point( X, Y ) ) }.
% 3.25/3.59 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 3.25/3.59 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 3.25/3.59 apart_point_and_line( Y, T ) }.
% 3.25/3.59 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 3.25/3.59 apart_point_and_line( Z, Y ) }.
% 3.25/3.59 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 3.25/3.59 apart_point_and_line( X, Z ) }.
% 3.25/3.59 { ! convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 3.25/3.59 { distinct_points( skol1, skol2 ) }.
% 3.25/3.59 { distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol2,
% 3.25/3.59 skol1 ) ) }.
% 3.25/3.59
% 3.25/3.59 percentage equality = 0.000000, percentage horn = 0.625000
% 3.25/3.59 This a non-horn, non-equality problem
% 3.25/3.59
% 3.25/3.59
% 3.25/3.59 Options Used:
% 3.25/3.59
% 3.25/3.59 useres = 1
% 3.25/3.59 useparamod = 0
% 3.25/3.59 useeqrefl = 0
% 3.25/3.59 useeqfact = 0
% 3.25/3.59 usefactor = 1
% 3.25/3.59 usesimpsplitting = 0
% 3.25/3.59 usesimpdemod = 0
% 3.25/3.59 usesimpres = 3
% 3.25/3.59
% 3.25/3.59 resimpinuse = 1000
% 3.25/3.59 resimpclauses = 20000
% 3.25/3.59 substype = standard
% 3.25/3.59 backwardsubs = 1
% 3.25/3.59 selectoldest = 5
% 3.25/3.59
% 3.25/3.59 litorderings [0] = split
% 3.25/3.59 litorderings [1] = liftord
% 3.25/3.59
% 3.25/3.59 termordering = none
% 3.25/3.59
% 3.25/3.59 litapriori = 1
% 3.25/3.59 termapriori = 0
% 3.25/3.59 litaposteriori = 0
% 3.25/3.59 termaposteriori = 0
% 3.25/3.59 demodaposteriori = 0
% 3.25/3.59 ordereqreflfact = 0
% 3.25/3.59
% 3.25/3.59 litselect = none
% 3.25/3.59
% 3.25/3.59 maxweight = 15
% 3.25/3.59 maxdepth = 30000
% 3.25/3.59 maxlength = 115
% 3.25/3.59 maxnrvars = 195
% 3.25/3.59 excuselevel = 1
% 3.25/3.59 increasemaxweight = 1
% 3.25/3.59
% 3.25/3.59 maxselected = 10000000
% 3.25/3.59 maxnrclauses = 10000000
% 3.25/3.59
% 3.25/3.59 showgenerated = 0
% 3.25/3.59 showkept = 0
% 3.25/3.59 showselected = 0
% 3.25/3.59 showdeleted = 0
% 3.25/3.59 showresimp = 1
% 3.25/3.59 showstatus = 2000
% 3.25/3.59
% 3.25/3.59 prologoutput = 0
% 3.25/3.59 nrgoals = 5000000
% 3.25/3.59 totalproof = 1
% 3.25/3.59
% 3.25/3.59 Symbols occurring in the translation:
% 3.25/3.59
% 3.25/3.59 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.25/3.59 . [1, 2] (w:1, o:18, a:1, s:1, b:0),
% 3.25/3.59 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 3.25/3.59 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.25/3.59 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.25/3.59 distinct_points [36, 2] (w:1, o:43, a:1, s:1, b:0),
% 3.25/3.59 distinct_lines [37, 2] (w:1, o:44, a:1, s:1, b:0),
% 3.25/3.59 convergent_lines [38, 2] (w:1, o:42, a:1, s:1, b:0),
% 3.25/3.59 line_connecting [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 3.25/3.59 apart_point_and_line [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 3.25/3.59 intersection_point [43, 2] (w:1, o:47, a:1, s:1, b:0),
% 3.25/3.59 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 3.25/3.59 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0).
% 3.25/3.59
% 3.25/3.59
% 3.25/3.59 Starting Search:
% 3.25/3.59
% 3.25/3.59 *** allocated 15000 integers for clauses
% 3.25/3.59 Resimplifying inuse:
% 3.25/3.59 Done
% 3.25/3.59
% 3.25/3.59 Failed to find proof!
% 3.25/3.59 maxweight = 15
% 3.25/3.59 maxnrclauses = 10000000
% 3.25/3.59 Generated: 36635
% 3.25/3.59 Kept: 337
% 3.25/3.59
% 3.25/3.59
% 3.25/3.59 The strategy used was not complete!
% 3.25/3.59
% 3.25/3.59 Increased maxweight to 16
% 3.25/3.59
% 3.25/3.59 Starting Search:
% 3.25/3.59
% 3.25/3.59 Resimplifying inuse:
% 3.25/3.59 Done
% 3.25/3.59
% 3.25/3.59 Failed to find proof!
% 3.25/3.59 maxweight = 16
% 3.25/3.59 maxnrclauses = 10000000
% 3.25/3.59 Generated: 38523
% 3.25/3.59 Kept: 353
% 3.25/3.59
% 3.25/3.59
% 3.25/3.59 The strategy used was not complete!
% 3.25/3.59
% 3.25/3.59 Increased maxweight to 17
% 3.25/3.59
% 3.25/3.59 Starting Search:
% 3.25/3.59
% 3.25/3.59 *** allocated 22500 integers for clauses
% 3.25/3.59 Resimplifying inuse:
% 3.25/3.59 Done
% 3.25/3.59
% 3.25/3.59 Failed to find proof!
% 3.25/3.59 maxweight = 17
% 3.25/3.59 maxnrclauses = 10000000
% 3.25/3.59 Generated: 55675
% 3.25/3.59 Kept: 481
% 3.25/3.59
% 3.25/3.59
% 3.25/3.59 The strategy used was not complete!
% 3.25/3.59
% 3.25/3.59 Increased maxweight to 18
% 3.25/3.59
% 3.25/3.59 Starting Search:
% 3.25/3.59
% 3.25/3.59 *** allocated 15000 integers for termspace/termends
% 3.25/3.59 *** allocated 33750 integers for clauses
% 3.25/3.59 Resimplifying inuse:
% 3.25/3.59 Done
% 3.25/3.59
% 3.25/3.59 Failed to find proof!
% 3.25/3.59 maxweight = 18
% 3.25/3.59 maxnrclauses = 10000000
% 3.25/3.59 Generated: 180811
% 3.25/3.59 Kept: 753
% 3.25/3.59
% 3.25/3.59
% 3.25/3.59 The strategy used was not complete!
% 3.25/3.59
% 3.25/3.59 Increased maxweight to 19
% 3.25/3.59
% 3.25/3.59 Starting Search:
% 3.25/3.59
% 3.25/3.59 *** allocated 22500 integers for termspace/termends
% 3.25/3.59 *** allocated 50625 integers for clauses
% 3.25/3.59
% 3.25/3.59 Bliksems!, er is een bewijs:
% 3.25/3.59 % SZS status Theorem
% 3.25/3.59 % SZS output start Refutation
% 3.25/3.59
% 3.25/3.59 (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 3.25/3.59 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 3.25/3.59 (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 3.25/3.59 ), ! distinct_points( X, Y ) }.
% 3.25/3.59 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 3.25/3.59 , ! distinct_lines( X, Y ) }.
% 3.25/3.59 (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ), distinct_points( Z
% 3.25/3.59 , X ), ! apart_point_and_line( Z, line_connecting( X, Y ) ) }.
% 3.25/3.59 (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ), distinct_points( Z
% 3.25/3.59 , Y ), ! apart_point_and_line( Z, line_connecting( X, Y ) ) }.
% 3.25/3.59 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 3.25/3.59 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 3.25/3.59 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 3.25/3.59 (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 3.25/3.59 ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 3.25/3.59 (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 ) }.
% 3.25/3.59 (15) {G0,W7,D3,L1,V0,M1} I { distinct_lines( line_connecting( skol1, skol2
% 3.25/3.59 ), line_connecting( skol2, skol1 ) ) }.
% 3.25/3.59 (19) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 3.25/3.59 distinct_points( X, Y ) }.
% 3.25/3.59 (22) {G2,W3,D2,L1,V0,M1} R(19,14) { distinct_points( skol2, skol1 ) }.
% 3.25/3.59 (30) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 3.25/3.59 ( X, Y ) }.
% 3.25/3.59 (42) {G2,W7,D3,L1,V0,M1} R(15,30) { distinct_lines( line_connecting( skol2
% 3.25/3.59 , skol1 ), line_connecting( skol1, skol2 ) ) }.
% 3.25/3.59 (92) {G1,W14,D3,L4,V4,M1} R(11,7) { distinct_points( X, Y ), !
% 3.25/3.59 distinct_points( Z, T ), distinct_points( Y, T ), ! apart_point_and_line
% 3.25/3.59 ( X, line_connecting( Z, T ) ) }.
% 3.25/3.59 (93) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y ), !
% 3.25/3.59 distinct_points( Z, T ), distinct_points( Y, Z ), ! apart_point_and_line
% 3.25/3.59 ( X, line_connecting( Z, T ) ) }.
% 3.25/3.59 (94) {G2,W8,D3,L2,V2,M1} F(93);r(0) { ! distinct_points( X, Y ), !
% 3.25/3.59 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 3.25/3.59 (95) {G2,W8,D3,L2,V2,M1} F(92);r(0) { ! distinct_points( Y, X ), !
% 3.25/3.59 apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 3.25/3.59 (120) {G1,W25,D3,L7,V5,M3} R(10,6) { ! distinct_points( X, Y ), !
% 3.25/3.59 distinct_lines( Z, line_connecting( T, U ) ), ! distinct_points( T, U ),
% 3.25/3.59 distinct_points( X, T ), apart_point_and_line( Y, Z ),
% 3.25/3.59 apart_point_and_line( Y, line_connecting( T, U ) ), apart_point_and_line
% 3.25/3.59 ( X, Z ) }.
% 3.25/3.59 (125) {G2,W19,D3,L5,V3,M3} F(120);r(0) { ! distinct_points( X, Y ), !
% 3.25/3.59 distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line( Y,
% 3.25/3.59 line_connecting( X, Y ) ), apart_point_and_line( X, Z ),
% 3.25/3.59 apart_point_and_line( Y, Z ) }.
% 3.25/3.59 (822) {G3,W14,D3,L4,V3,M2} S(125);r(95) { ! distinct_points( X, Y ), !
% 3.25/3.59 distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line( Y, Z
% 3.25/3.59 ), apart_point_and_line( X, Z ) }.
% 3.25/3.59 (839) {G4,W18,D3,L4,V3,M1} R(822,94) { ! distinct_points( X, Y ), !
% 3.25/3.59 distinct_lines( line_connecting( Y, Z ), line_connecting( X, Y ) ), !
% 3.25/3.59 distinct_points( Y, Z ), apart_point_and_line( X, line_connecting( Y, Z )
% 3.25/3.59 ) }.
% 3.25/3.59 (860) {G5,W10,D3,L2,V2,M1} R(839,95);f;r(19) { ! distinct_points( Y, X ), !
% 3.25/3.59 distinct_lines( line_connecting( Y, X ), line_connecting( X, Y ) ) }.
% 3.25/3.59 (1067) {G6,W0,D0,L0,V0,M0} R(860,42);r(22) { }.
% 3.25/3.59
% 3.25/3.59
% 3.25/3.59 % SZS output end Refutation
% 3.25/3.59 found a proof!
% 3.25/3.59
% 3.25/3.59
% 3.25/3.59 Unprocessed initial clauses:
% 3.25/3.59
% 3.25/3.59 (1069) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 3.25/3.59 (1070) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 3.25/3.59 (1071) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 3.25/3.59 (1072) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 3.25/3.59 , Z ), distinct_points( Y, Z ) }.
% 3.25/3.59 (1073) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 3.25/3.59 Z ), distinct_lines( Y, Z ) }.
% 3.25/3.59 (1074) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 3.25/3.59 ( X, Z ), convergent_lines( Y, Z ) }.
% 3.25/3.59 (1075) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 3.25/3.59 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 3.25/3.59 ) }.
% 3.25/3.59 (1076) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 3.25/3.59 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 3.25/3.59 ) }.
% 3.25/3.59 (1077) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 3.25/3.59 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 3.25/3.59 Y ) ) }.
% 3.25/3.59 (1078) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 3.25/3.59 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 3.25/3.59 Y ) ) }.
% 3.25/3.59 (1079) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 3.25/3.59 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 3.25/3.59 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 3.25/3.59 (1080) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 3.25/3.59 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 3.25/3.59 (1081) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 3.25/3.59 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 3.25/3.59 (1082) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ), distinct_lines( X
% 3.25/3.59 , Y ) }.
% 3.25/3.59 (1083) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 3.25/3.59 (1084) {G0,W7,D3,L1,V0,M1} { distinct_lines( line_connecting( skol1, skol2
% 3.25/3.59 ), line_connecting( skol2, skol1 ) ) }.
% 3.25/3.59
% 3.25/3.59
% 3.25/3.59 Total Proof:
% 3.25/3.59
% 3.25/3.59 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 3.25/3.59 parent0: (1069) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 end
% 3.25/3.59 permutation0:
% 3.25/3.59 0 ==> 0
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 3.25/3.59 parent0: (1070) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 end
% 3.25/3.59 permutation0:
% 3.25/3.59 0 ==> 0
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 subsumption: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 3.25/3.59 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 3.25/3.59 parent0: (1072) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ),
% 3.25/3.59 distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 Y := Y
% 3.25/3.59 Z := Z
% 3.25/3.59 end
% 3.25/3.59 permutation0:
% 3.25/3.59 0 ==> 2
% 3.25/3.59 1 ==> 0
% 3.25/3.59 2 ==> 1
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 3.25/3.59 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 3.25/3.59 parent0: (1073) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 3.25/3.59 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 Y := Y
% 3.25/3.59 Z := Z
% 3.25/3.59 end
% 3.25/3.59 permutation0:
% 3.25/3.59 0 ==> 2
% 3.25/3.59 1 ==> 0
% 3.25/3.59 2 ==> 1
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 subsumption: (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 3.25/3.59 distinct_points( Z, X ), ! apart_point_and_line( Z, line_connecting( X, Y
% 3.25/3.59 ) ) }.
% 3.25/3.59 parent0: (1075) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 3.25/3.59 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 3.25/3.59 ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 Y := Y
% 3.25/3.59 Z := Z
% 3.25/3.59 end
% 3.25/3.59 permutation0:
% 3.25/3.59 0 ==> 0
% 3.25/3.59 1 ==> 2
% 3.25/3.59 2 ==> 1
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 subsumption: (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 3.25/3.59 distinct_points( Z, Y ), ! apart_point_and_line( Z, line_connecting( X, Y
% 3.25/3.59 ) ) }.
% 3.25/3.59 parent0: (1076) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 3.25/3.59 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 3.25/3.59 ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 Y := Y
% 3.25/3.59 Z := Z
% 3.25/3.59 end
% 3.25/3.59 permutation0:
% 3.25/3.59 0 ==> 0
% 3.25/3.59 1 ==> 2
% 3.25/3.59 2 ==> 1
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 3.25/3.59 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 3.25/3.59 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 3.25/3.59 apart_point_and_line( X, Z ) }.
% 3.25/3.59 parent0: (1079) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 3.25/3.59 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 3.25/3.59 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 3.25/3.59 apart_point_and_line( Y, T ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 Y := Y
% 3.25/3.59 Z := Z
% 3.25/3.59 T := T
% 3.25/3.59 end
% 3.25/3.59 permutation0:
% 3.25/3.59 0 ==> 0
% 3.25/3.59 1 ==> 1
% 3.25/3.59 2 ==> 5
% 3.25/3.59 3 ==> 2
% 3.25/3.59 4 ==> 3
% 3.25/3.59 5 ==> 4
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 3.25/3.59 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 3.25/3.59 parent0: (1080) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 3.25/3.59 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 Y := Y
% 3.25/3.59 Z := Z
% 3.25/3.59 end
% 3.25/3.59 permutation0:
% 3.25/3.59 0 ==> 2
% 3.25/3.59 1 ==> 0
% 3.25/3.59 2 ==> 1
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 3.25/3.59 }.
% 3.25/3.59 parent0: (1083) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 end
% 3.25/3.59 permutation0:
% 3.25/3.59 0 ==> 0
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 subsumption: (15) {G0,W7,D3,L1,V0,M1} I { distinct_lines( line_connecting(
% 3.25/3.59 skol1, skol2 ), line_connecting( skol2, skol1 ) ) }.
% 3.25/3.59 parent0: (1084) {G0,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 3.25/3.59 skol1, skol2 ), line_connecting( skol2, skol1 ) ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 end
% 3.25/3.59 permutation0:
% 3.25/3.59 0 ==> 0
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 resolution: (1130) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 3.25/3.59 distinct_points( X, Y ) }.
% 3.25/3.59 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 3.25/3.59 parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 3.25/3.59 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 end
% 3.25/3.59 substitution1:
% 3.25/3.59 X := X
% 3.25/3.59 Y := Y
% 3.25/3.59 Z := X
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 subsumption: (19) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 3.25/3.59 distinct_points( X, Y ) }.
% 3.25/3.59 parent0: (1130) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 3.25/3.59 distinct_points( X, Y ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := Y
% 3.25/3.59 Y := X
% 3.25/3.59 end
% 3.25/3.59 permutation0:
% 3.25/3.59 0 ==> 1
% 3.25/3.59 1 ==> 0
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 resolution: (1132) {G1,W3,D2,L1,V0,M1} { distinct_points( skol2, skol1 )
% 3.25/3.59 }.
% 3.25/3.59 parent0[0]: (19) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 3.25/3.59 distinct_points( X, Y ) }.
% 3.25/3.59 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 3.25/3.59 }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := skol2
% 3.25/3.59 Y := skol1
% 3.25/3.59 end
% 3.25/3.59 substitution1:
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 subsumption: (22) {G2,W3,D2,L1,V0,M1} R(19,14) { distinct_points( skol2,
% 3.25/3.59 skol1 ) }.
% 3.25/3.59 parent0: (1132) {G1,W3,D2,L1,V0,M1} { distinct_points( skol2, skol1 ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 end
% 3.25/3.59 permutation0:
% 3.25/3.59 0 ==> 0
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 resolution: (1133) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 3.25/3.59 distinct_lines( X, Y ) }.
% 3.25/3.59 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 3.25/3.59 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 3.25/3.59 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 end
% 3.25/3.59 substitution1:
% 3.25/3.59 X := X
% 3.25/3.59 Y := Y
% 3.25/3.59 Z := X
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 subsumption: (30) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 3.25/3.59 distinct_lines( X, Y ) }.
% 3.25/3.59 parent0: (1133) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 3.25/3.59 distinct_lines( X, Y ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := Y
% 3.25/3.59 Y := X
% 3.25/3.59 end
% 3.25/3.59 permutation0:
% 3.25/3.59 0 ==> 1
% 3.25/3.59 1 ==> 0
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 resolution: (1135) {G1,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 3.25/3.59 skol2, skol1 ), line_connecting( skol1, skol2 ) ) }.
% 3.25/3.59 parent0[0]: (30) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 3.25/3.59 distinct_lines( X, Y ) }.
% 3.25/3.59 parent1[0]: (15) {G0,W7,D3,L1,V0,M1} I { distinct_lines( line_connecting(
% 3.25/3.59 skol1, skol2 ), line_connecting( skol2, skol1 ) ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := line_connecting( skol2, skol1 )
% 3.25/3.59 Y := line_connecting( skol1, skol2 )
% 3.25/3.59 end
% 3.25/3.59 substitution1:
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 subsumption: (42) {G2,W7,D3,L1,V0,M1} R(15,30) { distinct_lines(
% 3.25/3.59 line_connecting( skol2, skol1 ), line_connecting( skol1, skol2 ) ) }.
% 3.25/3.59 parent0: (1135) {G1,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 3.25/3.59 skol2, skol1 ), line_connecting( skol1, skol2 ) ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 end
% 3.25/3.59 permutation0:
% 3.25/3.59 0 ==> 0
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 resolution: (1137) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 3.25/3.59 distinct_points( Z, Y ), distinct_points( T, Z ), ! apart_point_and_line
% 3.25/3.59 ( T, line_connecting( X, Y ) ) }.
% 3.25/3.59 parent0[2]: (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 3.25/3.59 distinct_points( Z, Y ), ! apart_point_and_line( Z, line_connecting( X, Y
% 3.25/3.59 ) ) }.
% 3.25/3.59 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 3.25/3.59 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 Y := Y
% 3.25/3.59 Z := Z
% 3.25/3.59 end
% 3.25/3.59 substitution1:
% 3.25/3.59 X := T
% 3.25/3.59 Y := line_connecting( X, Y )
% 3.25/3.59 Z := Z
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 subsumption: (92) {G1,W14,D3,L4,V4,M1} R(11,7) { distinct_points( X, Y ), !
% 3.25/3.59 distinct_points( Z, T ), distinct_points( Y, T ), ! apart_point_and_line
% 3.25/3.59 ( X, line_connecting( Z, T ) ) }.
% 3.25/3.59 parent0: (1137) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 3.25/3.59 distinct_points( Z, Y ), distinct_points( T, Z ), ! apart_point_and_line
% 3.25/3.59 ( T, line_connecting( X, Y ) ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := Z
% 3.25/3.59 Y := T
% 3.25/3.59 Z := Y
% 3.25/3.59 T := X
% 3.25/3.59 end
% 3.25/3.59 permutation0:
% 3.25/3.59 0 ==> 1
% 3.25/3.59 1 ==> 2
% 3.25/3.59 2 ==> 0
% 3.25/3.59 3 ==> 3
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 resolution: (1141) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 3.25/3.59 distinct_points( Z, X ), distinct_points( T, Z ), ! apart_point_and_line
% 3.25/3.59 ( T, line_connecting( X, Y ) ) }.
% 3.25/3.59 parent0[2]: (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 3.25/3.59 distinct_points( Z, X ), ! apart_point_and_line( Z, line_connecting( X, Y
% 3.25/3.59 ) ) }.
% 3.25/3.59 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 3.25/3.59 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 Y := Y
% 3.25/3.59 Z := Z
% 3.25/3.59 end
% 3.25/3.59 substitution1:
% 3.25/3.59 X := T
% 3.25/3.59 Y := line_connecting( X, Y )
% 3.25/3.59 Z := Z
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 subsumption: (93) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y ), !
% 3.25/3.59 distinct_points( Z, T ), distinct_points( Y, Z ), ! apart_point_and_line
% 3.25/3.59 ( X, line_connecting( Z, T ) ) }.
% 3.25/3.59 parent0: (1141) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 3.25/3.59 distinct_points( Z, X ), distinct_points( T, Z ), ! apart_point_and_line
% 3.25/3.59 ( T, line_connecting( X, Y ) ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := Z
% 3.25/3.59 Y := T
% 3.25/3.59 Z := Y
% 3.25/3.59 T := X
% 3.25/3.59 end
% 3.25/3.59 permutation0:
% 3.25/3.59 0 ==> 1
% 3.25/3.59 1 ==> 2
% 3.25/3.59 2 ==> 0
% 3.25/3.59 3 ==> 3
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 factor: (1144) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 3.25/3.59 distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X, Y
% 3.25/3.59 ) ) }.
% 3.25/3.59 parent0[0, 2]: (93) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y )
% 3.25/3.59 , ! distinct_points( Z, T ), distinct_points( Y, Z ), !
% 3.25/3.59 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 Y := X
% 3.25/3.59 Z := X
% 3.25/3.59 T := Y
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 resolution: (1145) {G1,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 3.25/3.59 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 3.25/3.59 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 3.25/3.59 parent1[0]: (1144) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 3.25/3.59 distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X, Y
% 3.25/3.59 ) ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 end
% 3.25/3.59 substitution1:
% 3.25/3.59 X := X
% 3.25/3.59 Y := Y
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 subsumption: (94) {G2,W8,D3,L2,V2,M1} F(93);r(0) { ! distinct_points( X, Y
% 3.25/3.59 ), ! apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 3.25/3.59 parent0: (1145) {G1,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 3.25/3.59 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 Y := Y
% 3.25/3.59 end
% 3.25/3.59 permutation0:
% 3.25/3.59 0 ==> 0
% 3.25/3.59 1 ==> 1
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 factor: (1146) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 3.25/3.59 distinct_points( Y, X ), ! apart_point_and_line( X, line_connecting( Y, X
% 3.25/3.59 ) ) }.
% 3.25/3.59 parent0[0, 2]: (92) {G1,W14,D3,L4,V4,M1} R(11,7) { distinct_points( X, Y )
% 3.25/3.59 , ! distinct_points( Z, T ), distinct_points( Y, T ), !
% 3.25/3.59 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 Y := X
% 3.25/3.59 Z := Y
% 3.25/3.59 T := X
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 resolution: (1147) {G1,W8,D3,L2,V2,M2} { ! distinct_points( Y, X ), !
% 3.25/3.59 apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 3.25/3.59 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 3.25/3.59 parent1[0]: (1146) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 3.25/3.59 distinct_points( Y, X ), ! apart_point_and_line( X, line_connecting( Y, X
% 3.25/3.59 ) ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 end
% 3.25/3.59 substitution1:
% 3.25/3.59 X := X
% 3.25/3.59 Y := Y
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 subsumption: (95) {G2,W8,D3,L2,V2,M1} F(92);r(0) { ! distinct_points( Y, X
% 3.25/3.59 ), ! apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 3.25/3.59 parent0: (1147) {G1,W8,D3,L2,V2,M2} { ! distinct_points( Y, X ), !
% 3.25/3.59 apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 Y := Y
% 3.25/3.59 end
% 3.25/3.59 permutation0:
% 3.25/3.59 0 ==> 0
% 3.25/3.59 1 ==> 1
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 resolution: (1156) {G1,W25,D3,L7,V5,M7} { ! distinct_points( X, Y ),
% 3.25/3.59 distinct_points( Z, X ), ! distinct_points( Z, T ), ! distinct_lines( U,
% 3.25/3.59 line_connecting( X, Y ) ), apart_point_and_line( T, U ),
% 3.25/3.59 apart_point_and_line( T, line_connecting( X, Y ) ), apart_point_and_line
% 3.25/3.59 ( Z, U ) }.
% 3.25/3.59 parent0[2]: (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 3.25/3.59 distinct_points( Z, X ), ! apart_point_and_line( Z, line_connecting( X, Y
% 3.25/3.59 ) ) }.
% 3.25/3.59 parent1[2]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 3.25/3.59 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 3.25/3.59 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 3.25/3.59 apart_point_and_line( X, Z ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 Y := Y
% 3.25/3.59 Z := Z
% 3.25/3.59 end
% 3.25/3.59 substitution1:
% 3.25/3.59 X := Z
% 3.25/3.59 Y := T
% 3.25/3.59 Z := U
% 3.25/3.59 T := line_connecting( X, Y )
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 subsumption: (120) {G1,W25,D3,L7,V5,M3} R(10,6) { ! distinct_points( X, Y )
% 3.25/3.59 , ! distinct_lines( Z, line_connecting( T, U ) ), ! distinct_points( T, U
% 3.25/3.59 ), distinct_points( X, T ), apart_point_and_line( Y, Z ),
% 3.25/3.59 apart_point_and_line( Y, line_connecting( T, U ) ), apart_point_and_line
% 3.25/3.59 ( X, Z ) }.
% 3.25/3.59 parent0: (1156) {G1,W25,D3,L7,V5,M7} { ! distinct_points( X, Y ),
% 3.25/3.59 distinct_points( Z, X ), ! distinct_points( Z, T ), ! distinct_lines( U,
% 3.25/3.59 line_connecting( X, Y ) ), apart_point_and_line( T, U ),
% 3.25/3.59 apart_point_and_line( T, line_connecting( X, Y ) ), apart_point_and_line
% 3.25/3.59 ( Z, U ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := T
% 3.25/3.59 Y := U
% 3.25/3.59 Z := X
% 3.25/3.59 T := Y
% 3.25/3.59 U := Z
% 3.25/3.59 end
% 3.25/3.59 permutation0:
% 3.25/3.59 0 ==> 2
% 3.25/3.59 1 ==> 3
% 3.25/3.59 2 ==> 0
% 3.25/3.59 3 ==> 1
% 3.25/3.59 4 ==> 4
% 3.25/3.59 5 ==> 5
% 3.25/3.59 6 ==> 6
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 factor: (1174) {G1,W22,D3,L6,V3,M6} { ! distinct_points( X, Y ), !
% 3.25/3.59 distinct_lines( Z, line_connecting( X, Y ) ), distinct_points( X, X ),
% 3.25/3.59 apart_point_and_line( Y, Z ), apart_point_and_line( Y, line_connecting( X
% 3.25/3.59 , Y ) ), apart_point_and_line( X, Z ) }.
% 3.25/3.59 parent0[0, 2]: (120) {G1,W25,D3,L7,V5,M3} R(10,6) { ! distinct_points( X, Y
% 3.25/3.59 ), ! distinct_lines( Z, line_connecting( T, U ) ), ! distinct_points( T
% 3.25/3.59 , U ), distinct_points( X, T ), apart_point_and_line( Y, Z ),
% 3.25/3.59 apart_point_and_line( Y, line_connecting( T, U ) ), apart_point_and_line
% 3.25/3.59 ( X, Z ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 Y := Y
% 3.25/3.59 Z := Z
% 3.25/3.59 T := X
% 3.25/3.59 U := Y
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 resolution: (1181) {G1,W19,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 3.25/3.59 distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line( Y, Z
% 3.25/3.59 ), apart_point_and_line( Y, line_connecting( X, Y ) ),
% 3.25/3.59 apart_point_and_line( X, Z ) }.
% 3.25/3.59 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 3.25/3.59 parent1[2]: (1174) {G1,W22,D3,L6,V3,M6} { ! distinct_points( X, Y ), !
% 3.25/3.59 distinct_lines( Z, line_connecting( X, Y ) ), distinct_points( X, X ),
% 3.25/3.59 apart_point_and_line( Y, Z ), apart_point_and_line( Y, line_connecting( X
% 3.25/3.59 , Y ) ), apart_point_and_line( X, Z ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 end
% 3.25/3.59 substitution1:
% 3.25/3.59 X := X
% 3.25/3.59 Y := Y
% 3.25/3.59 Z := Z
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 subsumption: (125) {G2,W19,D3,L5,V3,M3} F(120);r(0) { ! distinct_points( X
% 3.25/3.59 , Y ), ! distinct_lines( Z, line_connecting( X, Y ) ),
% 3.25/3.59 apart_point_and_line( Y, line_connecting( X, Y ) ), apart_point_and_line
% 3.25/3.59 ( X, Z ), apart_point_and_line( Y, Z ) }.
% 3.25/3.59 parent0: (1181) {G1,W19,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 3.25/3.59 distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line( Y, Z
% 3.25/3.59 ), apart_point_and_line( Y, line_connecting( X, Y ) ),
% 3.25/3.59 apart_point_and_line( X, Z ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 Y := Y
% 3.25/3.59 Z := Z
% 3.25/3.59 end
% 3.25/3.59 permutation0:
% 3.25/3.59 0 ==> 0
% 3.25/3.59 1 ==> 1
% 3.25/3.59 2 ==> 4
% 3.25/3.59 3 ==> 2
% 3.25/3.59 4 ==> 3
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 resolution: (1197) {G3,W17,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 3.25/3.59 distinct_points( X, Y ), ! distinct_lines( Z, line_connecting( X, Y ) ),
% 3.25/3.59 apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ) }.
% 3.25/3.59 parent0[1]: (95) {G2,W8,D3,L2,V2,M1} F(92);r(0) { ! distinct_points( Y, X )
% 3.25/3.59 , ! apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 3.25/3.59 parent1[2]: (125) {G2,W19,D3,L5,V3,M3} F(120);r(0) { ! distinct_points( X,
% 3.25/3.59 Y ), ! distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line
% 3.25/3.59 ( Y, line_connecting( X, Y ) ), apart_point_and_line( X, Z ),
% 3.25/3.59 apart_point_and_line( Y, Z ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := Y
% 3.25/3.59 Y := X
% 3.25/3.59 end
% 3.25/3.59 substitution1:
% 3.25/3.59 X := X
% 3.25/3.59 Y := Y
% 3.25/3.59 Z := Z
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 factor: (1198) {G3,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 3.25/3.59 distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line( X, Z
% 3.25/3.59 ), apart_point_and_line( Y, Z ) }.
% 3.25/3.59 parent0[0, 1]: (1197) {G3,W17,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 3.25/3.59 distinct_points( X, Y ), ! distinct_lines( Z, line_connecting( X, Y ) ),
% 3.25/3.59 apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 Y := Y
% 3.25/3.59 Z := Z
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 subsumption: (822) {G3,W14,D3,L4,V3,M2} S(125);r(95) { ! distinct_points( X
% 3.25/3.59 , Y ), ! distinct_lines( Z, line_connecting( X, Y ) ),
% 3.25/3.59 apart_point_and_line( Y, Z ), apart_point_and_line( X, Z ) }.
% 3.25/3.59 parent0: (1198) {G3,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 3.25/3.59 distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line( X, Z
% 3.25/3.59 ), apart_point_and_line( Y, Z ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 Y := Y
% 3.25/3.59 Z := Z
% 3.25/3.59 end
% 3.25/3.59 permutation0:
% 3.25/3.59 0 ==> 0
% 3.25/3.59 1 ==> 1
% 3.25/3.59 2 ==> 3
% 3.25/3.59 3 ==> 2
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 resolution: (1200) {G3,W18,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 3.25/3.59 distinct_points( Z, X ), ! distinct_lines( line_connecting( X, Y ),
% 3.25/3.59 line_connecting( Z, X ) ), apart_point_and_line( Z, line_connecting( X, Y
% 3.25/3.59 ) ) }.
% 3.25/3.59 parent0[1]: (94) {G2,W8,D3,L2,V2,M1} F(93);r(0) { ! distinct_points( X, Y )
% 3.25/3.59 , ! apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 3.25/3.59 parent1[2]: (822) {G3,W14,D3,L4,V3,M2} S(125);r(95) { ! distinct_points( X
% 3.25/3.59 , Y ), ! distinct_lines( Z, line_connecting( X, Y ) ),
% 3.25/3.59 apart_point_and_line( Y, Z ), apart_point_and_line( X, Z ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 Y := Y
% 3.25/3.59 end
% 3.25/3.59 substitution1:
% 3.25/3.59 X := Z
% 3.25/3.59 Y := X
% 3.25/3.59 Z := line_connecting( X, Y )
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 subsumption: (839) {G4,W18,D3,L4,V3,M1} R(822,94) { ! distinct_points( X, Y
% 3.25/3.59 ), ! distinct_lines( line_connecting( Y, Z ), line_connecting( X, Y ) )
% 3.25/3.59 , ! distinct_points( Y, Z ), apart_point_and_line( X, line_connecting( Y
% 3.25/3.59 , Z ) ) }.
% 3.25/3.59 parent0: (1200) {G3,W18,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 3.25/3.59 distinct_points( Z, X ), ! distinct_lines( line_connecting( X, Y ),
% 3.25/3.59 line_connecting( Z, X ) ), apart_point_and_line( Z, line_connecting( X, Y
% 3.25/3.59 ) ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := Y
% 3.25/3.59 Y := Z
% 3.25/3.59 Z := X
% 3.25/3.59 end
% 3.25/3.59 permutation0:
% 3.25/3.59 0 ==> 2
% 3.25/3.59 1 ==> 0
% 3.25/3.59 2 ==> 1
% 3.25/3.59 3 ==> 3
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 resolution: (1204) {G3,W16,D3,L4,V2,M4} { ! distinct_points( X, Y ), !
% 3.25/3.59 distinct_points( Y, X ), ! distinct_lines( line_connecting( X, Y ),
% 3.25/3.59 line_connecting( Y, X ) ), ! distinct_points( X, Y ) }.
% 3.25/3.59 parent0[1]: (95) {G2,W8,D3,L2,V2,M1} F(92);r(0) { ! distinct_points( Y, X )
% 3.25/3.59 , ! apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 3.25/3.59 parent1[3]: (839) {G4,W18,D3,L4,V3,M1} R(822,94) { ! distinct_points( X, Y
% 3.25/3.59 ), ! distinct_lines( line_connecting( Y, Z ), line_connecting( X, Y ) )
% 3.25/3.59 , ! distinct_points( Y, Z ), apart_point_and_line( X, line_connecting( Y
% 3.25/3.59 , Z ) ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := Y
% 3.25/3.59 Y := X
% 3.25/3.59 end
% 3.25/3.59 substitution1:
% 3.25/3.59 X := Y
% 3.25/3.59 Y := X
% 3.25/3.59 Z := Y
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 resolution: (1209) {G2,W16,D3,L4,V2,M4} { ! distinct_points( X, Y ), !
% 3.25/3.59 distinct_lines( line_connecting( X, Y ), line_connecting( Y, X ) ), !
% 3.25/3.59 distinct_points( X, Y ), ! distinct_points( X, Y ) }.
% 3.25/3.59 parent0[1]: (1204) {G3,W16,D3,L4,V2,M4} { ! distinct_points( X, Y ), !
% 3.25/3.59 distinct_points( Y, X ), ! distinct_lines( line_connecting( X, Y ),
% 3.25/3.59 line_connecting( Y, X ) ), ! distinct_points( X, Y ) }.
% 3.25/3.59 parent1[1]: (19) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 3.25/3.59 distinct_points( X, Y ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 Y := Y
% 3.25/3.59 end
% 3.25/3.59 substitution1:
% 3.25/3.59 X := Y
% 3.25/3.59 Y := X
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 factor: (1213) {G2,W13,D3,L3,V2,M3} { ! distinct_points( X, Y ), !
% 3.25/3.59 distinct_lines( line_connecting( X, Y ), line_connecting( Y, X ) ), !
% 3.25/3.59 distinct_points( X, Y ) }.
% 3.25/3.59 parent0[0, 2]: (1209) {G2,W16,D3,L4,V2,M4} { ! distinct_points( X, Y ), !
% 3.25/3.59 distinct_lines( line_connecting( X, Y ), line_connecting( Y, X ) ), !
% 3.25/3.59 distinct_points( X, Y ), ! distinct_points( X, Y ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 Y := Y
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 factor: (1214) {G2,W10,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 3.25/3.59 distinct_lines( line_connecting( X, Y ), line_connecting( Y, X ) ) }.
% 3.25/3.59 parent0[0, 2]: (1213) {G2,W13,D3,L3,V2,M3} { ! distinct_points( X, Y ), !
% 3.25/3.59 distinct_lines( line_connecting( X, Y ), line_connecting( Y, X ) ), !
% 3.25/3.59 distinct_points( X, Y ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := X
% 3.25/3.59 Y := Y
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 subsumption: (860) {G5,W10,D3,L2,V2,M1} R(839,95);f;r(19) { !
% 3.25/3.59 distinct_points( Y, X ), ! distinct_lines( line_connecting( Y, X ),
% 3.25/3.59 line_connecting( X, Y ) ) }.
% 3.25/3.59 parent0: (1214) {G2,W10,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 3.25/3.59 distinct_lines( line_connecting( X, Y ), line_connecting( Y, X ) ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := Y
% 3.25/3.59 Y := X
% 3.25/3.59 end
% 3.25/3.59 permutation0:
% 3.25/3.59 0 ==> 0
% 3.25/3.59 1 ==> 1
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 resolution: (1215) {G3,W3,D2,L1,V0,M1} { ! distinct_points( skol2, skol1 )
% 3.25/3.59 }.
% 3.25/3.59 parent0[1]: (860) {G5,W10,D3,L2,V2,M1} R(839,95);f;r(19) { !
% 3.25/3.59 distinct_points( Y, X ), ! distinct_lines( line_connecting( Y, X ),
% 3.25/3.59 line_connecting( X, Y ) ) }.
% 3.25/3.59 parent1[0]: (42) {G2,W7,D3,L1,V0,M1} R(15,30) { distinct_lines(
% 3.25/3.59 line_connecting( skol2, skol1 ), line_connecting( skol1, skol2 ) ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 X := skol1
% 3.25/3.59 Y := skol2
% 3.25/3.59 end
% 3.25/3.59 substitution1:
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 resolution: (1216) {G3,W0,D0,L0,V0,M0} { }.
% 3.25/3.59 parent0[0]: (1215) {G3,W3,D2,L1,V0,M1} { ! distinct_points( skol2, skol1 )
% 3.25/3.59 }.
% 3.25/3.59 parent1[0]: (22) {G2,W3,D2,L1,V0,M1} R(19,14) { distinct_points( skol2,
% 3.25/3.59 skol1 ) }.
% 3.25/3.59 substitution0:
% 3.25/3.59 end
% 3.25/3.59 substitution1:
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 subsumption: (1067) {G6,W0,D0,L0,V0,M0} R(860,42);r(22) { }.
% 3.25/3.59 parent0: (1216) {G3,W0,D0,L0,V0,M0} { }.
% 3.25/3.59 substitution0:
% 3.25/3.59 end
% 3.25/3.59 permutation0:
% 3.25/3.59 end
% 3.25/3.59
% 3.25/3.59 Proof check complete!
% 3.25/3.59
% 3.25/3.59 Memory use:
% 3.25/3.59
% 3.25/3.59 space for terms: 19289
% 3.25/3.59 space for clauses: 38176
% 3.25/3.59
% 3.25/3.59
% 3.25/3.59 clauses generated: 194083
% 3.25/3.59 clauses kept: 1068
% 3.25/3.59 clauses selected: 774
% 3.25/3.59 clauses deleted: 4
% 3.25/3.59 clauses inuse deleted: 0
% 3.25/3.59
% 3.25/3.59 subsentry: 407125
% 3.25/3.59 literals s-matched: 345973
% 3.25/3.59 literals matched: 345872
% 3.25/3.59 full subsumption: 317430
% 3.25/3.59
% 3.25/3.59 checksum: -700602
% 3.25/3.59
% 3.25/3.59
% 3.25/3.59 Bliksem ended
%------------------------------------------------------------------------------