TSTP Solution File: GEO226+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO226+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 02:53:01 EDT 2022
% Result : Theorem 0.71s 1.12s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO226+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Fri Jun 17 20:38:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.71/1.11 *** allocated 10000 integers for termspace/termends
% 0.71/1.11 *** allocated 10000 integers for clauses
% 0.71/1.11 *** allocated 10000 integers for justifications
% 0.71/1.11 Bliksem 1.12
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Automatic Strategy Selection
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Clauses:
% 0.71/1.11
% 0.71/1.11 { ! distinct_points( X, X ) }.
% 0.71/1.11 { ! distinct_lines( X, X ) }.
% 0.71/1.11 { ! convergent_lines( X, X ) }.
% 0.71/1.11 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.71/1.11 ) }.
% 0.71/1.11 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.71/1.11 }.
% 0.71/1.11 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 0.71/1.11 , Z ) }.
% 0.71/1.11 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 0.71/1.11 , Y ) ), distinct_points( Z, X ) }.
% 0.71/1.11 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 0.71/1.11 , Y ) ), distinct_points( Z, Y ) }.
% 0.71/1.11 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, X ),
% 0.71/1.11 distinct_points( Z, intersection_point( X, Y ) ) }.
% 0.71/1.11 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, Y ),
% 0.71/1.11 distinct_points( Z, intersection_point( X, Y ) ) }.
% 0.71/1.11 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 0.71/1.11 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 0.71/1.11 apart_point_and_line( Y, T ) }.
% 0.71/1.11 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 0.71/1.11 apart_point_and_line( Z, Y ) }.
% 0.71/1.11 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 0.71/1.11 apart_point_and_line( X, Z ) }.
% 0.71/1.11 { ! convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 0.71/1.11 { ! point( X ), ! point( Y ), ! distinct_points( X, Y ), line(
% 0.71/1.11 line_connecting( X, Y ) ) }.
% 0.71/1.11 { ! line( X ), ! line( Y ), ! convergent_lines( X, Y ), point(
% 0.71/1.11 intersection_point( X, Y ) ) }.
% 0.71/1.11 { ! line( X ), ! point( Y ), line( parallel_through_point( X, Y ) ) }.
% 0.71/1.11 { ! line( X ), ! point( Y ), line( orthogonal_through_point( X, Y ) ) }.
% 0.71/1.11 { line( skol1 ) }.
% 0.71/1.11 { line( skol2 ) }.
% 0.71/1.11 { convergent_lines( skol1, skol2 ) }.
% 0.71/1.11 { point( X ) }.
% 0.71/1.11 { apart_point_and_line( X, skol1 ), apart_point_and_line( X, skol2 ) }.
% 0.71/1.11
% 0.71/1.11 percentage equality = 0.000000, percentage horn = 0.695652
% 0.71/1.11 This a non-horn, non-equality problem
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Options Used:
% 0.71/1.11
% 0.71/1.11 useres = 1
% 0.71/1.11 useparamod = 0
% 0.71/1.11 useeqrefl = 0
% 0.71/1.11 useeqfact = 0
% 0.71/1.11 usefactor = 1
% 0.71/1.11 usesimpsplitting = 0
% 0.71/1.11 usesimpdemod = 0
% 0.71/1.11 usesimpres = 3
% 0.71/1.11
% 0.71/1.11 resimpinuse = 1000
% 0.71/1.11 resimpclauses = 20000
% 0.71/1.11 substype = standard
% 0.71/1.11 backwardsubs = 1
% 0.71/1.11 selectoldest = 5
% 0.71/1.11
% 0.71/1.11 litorderings [0] = split
% 0.71/1.11 litorderings [1] = liftord
% 0.71/1.11
% 0.71/1.11 termordering = none
% 0.71/1.11
% 0.71/1.11 litapriori = 1
% 0.71/1.11 termapriori = 0
% 0.71/1.11 litaposteriori = 0
% 0.71/1.11 termaposteriori = 0
% 0.71/1.11 demodaposteriori = 0
% 0.71/1.11 ordereqreflfact = 0
% 0.71/1.11
% 0.71/1.11 litselect = none
% 0.71/1.11
% 0.71/1.11 maxweight = 15
% 0.71/1.11 maxdepth = 30000
% 0.71/1.11 maxlength = 115
% 0.71/1.11 maxnrvars = 195
% 0.71/1.11 excuselevel = 1
% 0.71/1.11 increasemaxweight = 1
% 0.71/1.11
% 0.71/1.11 maxselected = 10000000
% 0.71/1.11 maxnrclauses = 10000000
% 0.71/1.11
% 0.71/1.11 showgenerated = 0
% 0.71/1.11 showkept = 0
% 0.71/1.11 showselected = 0
% 0.71/1.11 showdeleted = 0
% 0.71/1.11 showresimp = 1
% 0.71/1.11 showstatus = 2000
% 0.71/1.11
% 0.71/1.11 prologoutput = 0
% 0.71/1.11 nrgoals = 5000000
% 0.71/1.11 totalproof = 1
% 0.71/1.11
% 0.71/1.11 Symbols occurring in the translation:
% 0.71/1.11
% 0.71/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.11 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.71/1.12 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 0.71/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.12 distinct_points [36, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.71/1.12 distinct_lines [37, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.71/1.12 convergent_lines [38, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.71/1.12 line_connecting [41, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.71/1.12 apart_point_and_line [42, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.71/1.12 intersection_point [43, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.71/1.12 point [48, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.71/1.12 line [49, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.71/1.12 parallel_through_point [52, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.71/1.12 orthogonal_through_point [53, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.71/1.12 skol1 [54, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.71/1.12 skol2 [55, 0] (w:1, o:16, a:1, s:1, b:0).
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Starting Search:
% 0.71/1.12
% 0.71/1.12 *** allocated 15000 integers for clauses
% 0.71/1.12
% 0.71/1.12 Bliksems!, er is een bewijs:
% 0.71/1.12 % SZS status Theorem
% 0.71/1.12 % SZS output start Refutation
% 0.71/1.12
% 0.71/1.12 (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 0.71/1.12 (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 0.71/1.12 (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), convergent_lines( Y,
% 0.71/1.12 Z ), ! convergent_lines( X, Y ) }.
% 0.71/1.12 (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), distinct_points( Z
% 0.71/1.12 , intersection_point( X, Y ) ), ! apart_point_and_line( Z, X ) }.
% 0.71/1.12 (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), distinct_points( Z
% 0.71/1.12 , intersection_point( X, Y ) ), ! apart_point_and_line( Z, Y ) }.
% 0.71/1.12 (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 0.71/1.12 ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 0.71/1.12 (20) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 ) }.
% 0.71/1.12 (22) {G0,W6,D2,L2,V1,M1} I { apart_point_and_line( X, skol1 ),
% 0.71/1.12 apart_point_and_line( X, skol2 ) }.
% 0.71/1.12 (46) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 0.71/1.12 convergent_lines( X, Y ) }.
% 0.71/1.12 (49) {G2,W3,D2,L1,V0,M1} R(46,20) { convergent_lines( skol2, skol1 ) }.
% 0.71/1.12 (178) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y ), !
% 0.71/1.12 convergent_lines( T, Z ), distinct_points( Y, intersection_point( T, Z )
% 0.71/1.12 ), ! apart_point_and_line( X, Z ) }.
% 0.71/1.12 (179) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y ), !
% 0.71/1.12 convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z, T )
% 0.71/1.12 ), ! apart_point_and_line( X, Z ) }.
% 0.71/1.12 (185) {G2,W8,D3,L2,V2,M1} F(179);r(0) { ! convergent_lines( X, Y ), !
% 0.71/1.12 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 0.71/1.12 (186) {G2,W8,D3,L2,V2,M1} F(178);r(0) { ! convergent_lines( X, Y ), !
% 0.71/1.12 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 0.71/1.12 (188) {G3,W8,D3,L2,V1,M1} R(185,22) { ! convergent_lines( skol2, X ),
% 0.71/1.12 apart_point_and_line( intersection_point( skol2, X ), skol1 ) }.
% 0.71/1.12 (219) {G4,W0,D0,L0,V0,M0} R(188,186);f;r(49) { }.
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 % SZS output end Refutation
% 0.71/1.12 found a proof!
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Unprocessed initial clauses:
% 0.71/1.12
% 0.71/1.12 (221) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.71/1.12 (222) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.71/1.12 (223) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 0.71/1.12 (224) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.71/1.12 , Z ), distinct_points( Y, Z ) }.
% 0.71/1.12 (225) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 0.71/1.12 ), distinct_lines( Y, Z ) }.
% 0.71/1.12 (226) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines(
% 0.71/1.12 X, Z ), convergent_lines( Y, Z ) }.
% 0.71/1.12 (227) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 0.71/1.12 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 0.71/1.12 ) }.
% 0.71/1.12 (228) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 0.71/1.12 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 0.71/1.12 ) }.
% 0.71/1.12 (229) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 0.71/1.12 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 0.71/1.12 Y ) ) }.
% 0.71/1.12 (230) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 0.71/1.12 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 0.71/1.12 Y ) ) }.
% 0.71/1.12 (231) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines(
% 0.71/1.12 Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 0.71/1.12 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 0.71/1.12 (232) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.71/1.12 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 0.71/1.12 (233) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ), distinct_lines
% 0.71/1.12 ( Y, Z ), apart_point_and_line( X, Z ) }.
% 0.71/1.12 (234) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ), distinct_lines( X
% 0.71/1.12 , Y ) }.
% 0.71/1.12 (235) {G0,W11,D3,L4,V2,M4} { ! point( X ), ! point( Y ), ! distinct_points
% 0.71/1.12 ( X, Y ), line( line_connecting( X, Y ) ) }.
% 0.71/1.12 (236) {G0,W11,D3,L4,V2,M4} { ! line( X ), ! line( Y ), ! convergent_lines
% 0.71/1.12 ( X, Y ), point( intersection_point( X, Y ) ) }.
% 0.71/1.12 (237) {G0,W8,D3,L3,V2,M3} { ! line( X ), ! point( Y ), line(
% 0.71/1.12 parallel_through_point( X, Y ) ) }.
% 0.71/1.12 (238) {G0,W8,D3,L3,V2,M3} { ! line( X ), ! point( Y ), line(
% 0.71/1.12 orthogonal_through_point( X, Y ) ) }.
% 0.71/1.12 (239) {G0,W2,D2,L1,V0,M1} { line( skol1 ) }.
% 0.71/1.12 (240) {G0,W2,D2,L1,V0,M1} { line( skol2 ) }.
% 0.71/1.12 (241) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 0.71/1.12 (242) {G0,W2,D2,L1,V1,M1} { point( X ) }.
% 0.71/1.12 (243) {G0,W6,D2,L2,V1,M2} { apart_point_and_line( X, skol1 ),
% 0.71/1.12 apart_point_and_line( X, skol2 ) }.
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Total Proof:
% 0.71/1.12
% 0.71/1.12 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 0.71/1.12 parent0: (221) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 X := X
% 0.71/1.12 end
% 0.71/1.12 permutation0:
% 0.71/1.12 0 ==> 0
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 0.71/1.12 parent0: (223) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 X := X
% 0.71/1.12 end
% 0.71/1.12 permutation0:
% 0.71/1.12 0 ==> 0
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 subsumption: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 0.71/1.12 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 0.71/1.12 parent0: (226) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 0.71/1.12 convergent_lines( X, Z ), convergent_lines( Y, Z ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 X := X
% 0.71/1.12 Y := Y
% 0.71/1.12 Z := Z
% 0.71/1.12 end
% 0.71/1.12 permutation0:
% 0.71/1.12 0 ==> 2
% 0.71/1.12 1 ==> 0
% 0.71/1.12 2 ==> 1
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 subsumption: (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 0.71/1.12 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 0.71/1.12 ( Z, X ) }.
% 0.71/1.12 parent0: (229) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 0.71/1.12 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 0.71/1.12 Y ) ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 X := X
% 0.71/1.12 Y := Y
% 0.71/1.12 Z := Z
% 0.71/1.12 end
% 0.71/1.12 permutation0:
% 0.71/1.12 0 ==> 0
% 0.71/1.12 1 ==> 2
% 0.71/1.12 2 ==> 1
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 subsumption: (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 0.71/1.12 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 0.71/1.12 ( Z, Y ) }.
% 0.71/1.12 parent0: (230) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 0.71/1.12 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 0.71/1.12 Y ) ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 X := X
% 0.71/1.12 Y := Y
% 0.71/1.12 Z := Z
% 0.71/1.12 end
% 0.71/1.12 permutation0:
% 0.71/1.12 0 ==> 0
% 0.71/1.12 1 ==> 2
% 0.71/1.12 2 ==> 1
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 0.71/1.12 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 0.71/1.12 parent0: (232) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.71/1.12 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 X := X
% 0.71/1.12 Y := Y
% 0.71/1.12 Z := Z
% 0.71/1.12 end
% 0.71/1.12 permutation0:
% 0.71/1.12 0 ==> 2
% 0.71/1.12 1 ==> 0
% 0.71/1.12 2 ==> 1
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 subsumption: (20) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 0.71/1.12 }.
% 0.71/1.12 parent0: (241) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 end
% 0.71/1.12 permutation0:
% 0.71/1.12 0 ==> 0
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 subsumption: (22) {G0,W6,D2,L2,V1,M1} I { apart_point_and_line( X, skol1 )
% 0.71/1.12 , apart_point_and_line( X, skol2 ) }.
% 0.71/1.12 parent0: (243) {G0,W6,D2,L2,V1,M2} { apart_point_and_line( X, skol1 ),
% 0.71/1.12 apart_point_and_line( X, skol2 ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 X := X
% 0.71/1.12 end
% 0.71/1.12 permutation0:
% 0.71/1.12 0 ==> 0
% 0.71/1.12 1 ==> 1
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 resolution: (284) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 0.71/1.12 convergent_lines( X, Y ) }.
% 0.71/1.12 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 0.71/1.12 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 0.71/1.12 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 X := X
% 0.71/1.12 end
% 0.71/1.12 substitution1:
% 0.71/1.12 X := X
% 0.71/1.12 Y := Y
% 0.71/1.12 Z := X
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 subsumption: (46) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 0.71/1.12 convergent_lines( X, Y ) }.
% 0.71/1.12 parent0: (284) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 0.71/1.12 convergent_lines( X, Y ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 X := Y
% 0.71/1.12 Y := X
% 0.71/1.12 end
% 0.71/1.12 permutation0:
% 0.71/1.12 0 ==> 1
% 0.71/1.12 1 ==> 0
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 resolution: (286) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol2, skol1 )
% 0.71/1.12 }.
% 0.71/1.12 parent0[0]: (46) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 0.71/1.12 convergent_lines( X, Y ) }.
% 0.71/1.12 parent1[0]: (20) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 0.71/1.12 }.
% 0.71/1.12 substitution0:
% 0.71/1.12 X := skol2
% 0.71/1.12 Y := skol1
% 0.71/1.12 end
% 0.71/1.12 substitution1:
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 subsumption: (49) {G2,W3,D2,L1,V0,M1} R(46,20) { convergent_lines( skol2,
% 0.71/1.12 skol1 ) }.
% 0.71/1.12 parent0: (286) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol2, skol1 ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 end
% 0.71/1.12 permutation0:
% 0.71/1.12 0 ==> 0
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 resolution: (287) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 0.71/1.12 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 0.71/1.12 , ! apart_point_and_line( T, Y ) }.
% 0.71/1.12 parent0[2]: (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 0.71/1.12 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 0.71/1.12 ( Z, Y ) }.
% 0.71/1.12 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 0.71/1.12 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 X := X
% 0.71/1.12 Y := Y
% 0.71/1.12 Z := Z
% 0.71/1.12 end
% 0.71/1.12 substitution1:
% 0.71/1.12 X := T
% 0.71/1.12 Y := Y
% 0.71/1.12 Z := Z
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 subsumption: (178) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y ),
% 0.71/1.12 ! convergent_lines( T, Z ), distinct_points( Y, intersection_point( T, Z
% 0.71/1.12 ) ), ! apart_point_and_line( X, Z ) }.
% 0.71/1.12 parent0: (287) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 0.71/1.12 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 0.71/1.12 , ! apart_point_and_line( T, Y ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 X := T
% 0.71/1.12 Y := Z
% 0.71/1.12 Z := Y
% 0.71/1.12 T := X
% 0.71/1.12 end
% 0.71/1.12 permutation0:
% 0.71/1.12 0 ==> 1
% 0.71/1.12 1 ==> 2
% 0.71/1.12 2 ==> 0
% 0.71/1.12 3 ==> 3
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 resolution: (289) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 0.71/1.12 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 0.71/1.12 , ! apart_point_and_line( T, X ) }.
% 0.71/1.12 parent0[2]: (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 0.71/1.12 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 0.71/1.12 ( Z, X ) }.
% 0.71/1.12 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 0.71/1.12 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 X := X
% 0.71/1.12 Y := Y
% 0.71/1.12 Z := Z
% 0.71/1.12 end
% 0.71/1.12 substitution1:
% 0.71/1.12 X := T
% 0.71/1.12 Y := X
% 0.71/1.12 Z := Z
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 subsumption: (179) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y ),
% 0.71/1.12 ! convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z, T
% 0.71/1.12 ) ), ! apart_point_and_line( X, Z ) }.
% 0.71/1.12 parent0: (289) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 0.71/1.12 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 0.71/1.12 , ! apart_point_and_line( T, X ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 X := Z
% 0.71/1.12 Y := T
% 0.71/1.12 Z := Y
% 0.71/1.12 T := X
% 0.71/1.12 end
% 0.71/1.12 permutation0:
% 0.71/1.12 0 ==> 1
% 0.71/1.12 1 ==> 2
% 0.71/1.12 2 ==> 0
% 0.71/1.12 3 ==> 3
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 factor: (291) {G1,W15,D3,L3,V2,M3} { distinct_points( intersection_point(
% 0.71/1.12 X, Y ), intersection_point( X, Y ) ), ! convergent_lines( X, Y ), !
% 0.71/1.12 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 0.71/1.12 parent0[0, 2]: (179) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y )
% 0.71/1.12 , ! convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z,
% 0.71/1.12 T ) ), ! apart_point_and_line( X, Z ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 X := intersection_point( X, Y )
% 0.71/1.12 Y := intersection_point( X, Y )
% 0.71/1.12 Z := X
% 0.71/1.12 T := Y
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 resolution: (292) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.71/1.12 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 0.71/1.12 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 0.71/1.12 parent1[0]: (291) {G1,W15,D3,L3,V2,M3} { distinct_points(
% 0.71/1.12 intersection_point( X, Y ), intersection_point( X, Y ) ), !
% 0.71/1.12 convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X,
% 0.71/1.12 Y ), X ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 X := intersection_point( X, Y )
% 0.71/1.12 end
% 0.71/1.12 substitution1:
% 0.71/1.12 X := X
% 0.71/1.12 Y := Y
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 subsumption: (185) {G2,W8,D3,L2,V2,M1} F(179);r(0) { ! convergent_lines( X
% 0.71/1.12 , Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 0.71/1.12 parent0: (292) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.71/1.12 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 X := X
% 0.71/1.12 Y := Y
% 0.71/1.12 end
% 0.71/1.12 permutation0:
% 0.71/1.12 0 ==> 0
% 0.71/1.12 1 ==> 1
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 factor: (293) {G1,W15,D3,L3,V2,M3} { distinct_points( intersection_point(
% 0.71/1.12 X, Y ), intersection_point( X, Y ) ), ! convergent_lines( X, Y ), !
% 0.71/1.12 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 0.71/1.12 parent0[0, 2]: (178) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y )
% 0.71/1.12 , ! convergent_lines( T, Z ), distinct_points( Y, intersection_point( T,
% 0.71/1.12 Z ) ), ! apart_point_and_line( X, Z ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 X := intersection_point( X, Y )
% 0.71/1.12 Y := intersection_point( X, Y )
% 0.71/1.12 Z := Y
% 0.71/1.12 T := X
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 resolution: (294) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.71/1.12 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 0.71/1.12 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 0.71/1.12 parent1[0]: (293) {G1,W15,D3,L3,V2,M3} { distinct_points(
% 0.71/1.12 intersection_point( X, Y ), intersection_point( X, Y ) ), !
% 0.71/1.12 convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X,
% 0.71/1.12 Y ), Y ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 X := intersection_point( X, Y )
% 0.71/1.12 end
% 0.71/1.12 substitution1:
% 0.71/1.12 X := X
% 0.71/1.12 Y := Y
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 subsumption: (186) {G2,W8,D3,L2,V2,M1} F(178);r(0) { ! convergent_lines( X
% 0.71/1.12 , Y ), ! apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 0.71/1.12 parent0: (294) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.71/1.12 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 X := X
% 0.71/1.12 Y := Y
% 0.71/1.12 end
% 0.71/1.12 permutation0:
% 0.71/1.12 0 ==> 0
% 0.71/1.12 1 ==> 1
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 *** allocated 22500 integers for clauses
% 0.71/1.12 resolution: (296) {G1,W8,D3,L2,V1,M2} { ! convergent_lines( skol2, X ),
% 0.71/1.12 apart_point_and_line( intersection_point( skol2, X ), skol1 ) }.
% 0.71/1.12 parent0[1]: (185) {G2,W8,D3,L2,V2,M1} F(179);r(0) { ! convergent_lines( X,
% 0.71/1.12 Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 0.71/1.12 parent1[1]: (22) {G0,W6,D2,L2,V1,M1} I { apart_point_and_line( X, skol1 ),
% 0.71/1.12 apart_point_and_line( X, skol2 ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 X := skol2
% 0.71/1.12 Y := X
% 0.71/1.12 end
% 0.71/1.12 substitution1:
% 0.71/1.12 X := intersection_point( skol2, X )
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 subsumption: (188) {G3,W8,D3,L2,V1,M1} R(185,22) { ! convergent_lines(
% 0.71/1.12 skol2, X ), apart_point_and_line( intersection_point( skol2, X ), skol1 )
% 0.71/1.12 }.
% 0.71/1.12 parent0: (296) {G1,W8,D3,L2,V1,M2} { ! convergent_lines( skol2, X ),
% 0.71/1.12 apart_point_and_line( intersection_point( skol2, X ), skol1 ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 X := X
% 0.71/1.12 end
% 0.71/1.12 permutation0:
% 0.71/1.12 0 ==> 0
% 0.71/1.12 1 ==> 1
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 resolution: (297) {G3,W6,D2,L2,V0,M2} { ! convergent_lines( skol2, skol1 )
% 0.71/1.12 , ! convergent_lines( skol2, skol1 ) }.
% 0.71/1.12 parent0[1]: (186) {G2,W8,D3,L2,V2,M1} F(178);r(0) { ! convergent_lines( X,
% 0.71/1.12 Y ), ! apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 0.71/1.12 parent1[1]: (188) {G3,W8,D3,L2,V1,M1} R(185,22) { ! convergent_lines( skol2
% 0.71/1.12 , X ), apart_point_and_line( intersection_point( skol2, X ), skol1 ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 X := skol2
% 0.71/1.12 Y := skol1
% 0.71/1.12 end
% 0.71/1.12 substitution1:
% 0.71/1.12 X := skol1
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 factor: (298) {G3,W3,D2,L1,V0,M1} { ! convergent_lines( skol2, skol1 ) }.
% 0.71/1.12 parent0[0, 1]: (297) {G3,W6,D2,L2,V0,M2} { ! convergent_lines( skol2,
% 0.71/1.12 skol1 ), ! convergent_lines( skol2, skol1 ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 resolution: (300) {G3,W0,D0,L0,V0,M0} { }.
% 0.71/1.12 parent0[0]: (298) {G3,W3,D2,L1,V0,M1} { ! convergent_lines( skol2, skol1 )
% 0.71/1.12 }.
% 0.71/1.12 parent1[0]: (49) {G2,W3,D2,L1,V0,M1} R(46,20) { convergent_lines( skol2,
% 0.71/1.12 skol1 ) }.
% 0.71/1.12 substitution0:
% 0.71/1.12 end
% 0.71/1.12 substitution1:
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 subsumption: (219) {G4,W0,D0,L0,V0,M0} R(188,186);f;r(49) { }.
% 0.71/1.12 parent0: (300) {G3,W0,D0,L0,V0,M0} { }.
% 0.71/1.12 substitution0:
% 0.71/1.12 end
% 0.71/1.12 permutation0:
% 0.71/1.12 end
% 0.71/1.12
% 0.71/1.12 Proof check complete!
% 0.71/1.12
% 0.71/1.12 Memory use:
% 0.71/1.12
% 0.71/1.12 space for terms: 3144
% 0.71/1.12 space for clauses: 13339
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 clauses generated: 487
% 0.71/1.12 clauses kept: 220
% 0.71/1.12 clauses selected: 62
% 0.71/1.12 clauses deleted: 3
% 0.71/1.12 clauses inuse deleted: 0
% 0.71/1.12
% 0.71/1.12 subsentry: 878
% 0.71/1.12 literals s-matched: 787
% 0.71/1.12 literals matched: 772
% 0.71/1.12 full subsumption: 277
% 0.71/1.12
% 0.71/1.12 checksum: 485851174
% 0.71/1.12
% 0.71/1.12
% 0.71/1.12 Bliksem ended
%------------------------------------------------------------------------------