TSTP Solution File: GEO206+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO206+1 : 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 02:52:43 EDT 2022
% Result : Theorem 0.81s 1.38s
% Output : Refutation 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO206+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n026.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 02:22:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.81/1.38 *** allocated 10000 integers for termspace/termends
% 0.81/1.38 *** allocated 10000 integers for clauses
% 0.81/1.38 *** allocated 10000 integers for justifications
% 0.81/1.38 Bliksem 1.12
% 0.81/1.38
% 0.81/1.38
% 0.81/1.38 Automatic Strategy Selection
% 0.81/1.38
% 0.81/1.38
% 0.81/1.38 Clauses:
% 0.81/1.38
% 0.81/1.38 { ! distinct_points( X, X ) }.
% 0.81/1.38 { ! distinct_lines( X, X ) }.
% 0.81/1.38 { ! convergent_lines( X, X ) }.
% 0.81/1.38 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.81/1.38 ) }.
% 0.81/1.38 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.81/1.38 }.
% 0.81/1.38 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 0.81/1.38 , Z ) }.
% 0.81/1.38 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 0.81/1.38 , Y ) ) }.
% 0.81/1.38 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 0.81/1.38 , Y ) ) }.
% 0.81/1.38 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 0.81/1.38 , Y ), X ) }.
% 0.81/1.38 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 0.81/1.38 , Y ), Y ) }.
% 0.81/1.38 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 0.81/1.38 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 0.81/1.38 apart_point_and_line( Y, T ) }.
% 0.81/1.38 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 0.81/1.38 apart_point_and_line( Z, Y ) }.
% 0.81/1.38 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 0.81/1.38 apart_point_and_line( X, Z ) }.
% 0.81/1.38 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 0.81/1.38 Z ) }.
% 0.81/1.38 { ! convergent_lines( parallel_through_point( Y, X ), Y ) }.
% 0.81/1.38 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 0.81/1.38 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 0.81/1.38 apart_point_and_line( Z, Y ), convergent_lines( X, Y ) }.
% 0.81/1.38 { ! apart_point_and_line( skol1, skol2 ) }.
% 0.81/1.38 { ! convergent_lines( skol2, skol3 ) }.
% 0.81/1.38 { distinct_lines( skol2, parallel_through_point( skol3, skol1 ) ) }.
% 0.81/1.38
% 0.81/1.38 percentage equality = 0.000000, percentage horn = 0.600000
% 0.81/1.38 This a non-horn, non-equality problem
% 0.81/1.38
% 0.81/1.38
% 0.81/1.38 Options Used:
% 0.81/1.38
% 0.81/1.38 useres = 1
% 0.81/1.38 useparamod = 0
% 0.81/1.38 useeqrefl = 0
% 0.81/1.38 useeqfact = 0
% 0.81/1.38 usefactor = 1
% 0.81/1.38 usesimpsplitting = 0
% 0.81/1.38 usesimpdemod = 0
% 0.81/1.38 usesimpres = 3
% 0.81/1.38
% 0.81/1.38 resimpinuse = 1000
% 0.81/1.38 resimpclauses = 20000
% 0.81/1.38 substype = standard
% 0.81/1.38 backwardsubs = 1
% 0.81/1.38 selectoldest = 5
% 0.81/1.38
% 0.81/1.38 litorderings [0] = split
% 0.81/1.38 litorderings [1] = liftord
% 0.81/1.38
% 0.81/1.38 termordering = none
% 0.81/1.38
% 0.81/1.38 litapriori = 1
% 0.81/1.38 termapriori = 0
% 0.81/1.38 litaposteriori = 0
% 0.81/1.38 termaposteriori = 0
% 0.81/1.38 demodaposteriori = 0
% 0.81/1.38 ordereqreflfact = 0
% 0.81/1.38
% 0.81/1.38 litselect = none
% 0.81/1.38
% 0.81/1.38 maxweight = 15
% 0.81/1.38 maxdepth = 30000
% 0.81/1.38 maxlength = 115
% 0.81/1.38 maxnrvars = 195
% 0.81/1.38 excuselevel = 1
% 0.81/1.38 increasemaxweight = 1
% 0.81/1.38
% 0.81/1.38 maxselected = 10000000
% 0.81/1.38 maxnrclauses = 10000000
% 0.81/1.38
% 0.81/1.38 showgenerated = 0
% 0.81/1.38 showkept = 0
% 0.81/1.38 showselected = 0
% 0.81/1.38 showdeleted = 0
% 0.81/1.38 showresimp = 1
% 0.81/1.38 showstatus = 2000
% 0.81/1.38
% 0.81/1.38 prologoutput = 0
% 0.81/1.38 nrgoals = 5000000
% 0.81/1.38 totalproof = 1
% 0.81/1.38
% 0.81/1.38 Symbols occurring in the translation:
% 0.81/1.38
% 0.81/1.38 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.81/1.38 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 0.81/1.38 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.81/1.38 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.38 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.38 distinct_points [36, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.81/1.38 distinct_lines [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.81/1.38 convergent_lines [38, 2] (w:1, o:43, a:1, s:1, b:0),
% 0.81/1.38 line_connecting [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.81/1.38 apart_point_and_line [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.81/1.38 intersection_point [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.81/1.38 parallel_through_point [46, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.81/1.38 skol1 [47, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.81/1.38 skol2 [48, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.81/1.38 skol3 [49, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.81/1.38
% 0.81/1.38
% 0.81/1.38 Starting Search:
% 0.81/1.38
% 0.81/1.38 *** allocated 15000 integers for clauses
% 0.81/1.38 *** allocated 22500 integers for clauses
% 0.81/1.38 *** allocated 33750 integers for clauses
% 0.81/1.38 *** allocated 15000 integers for termspace/termends
% 0.81/1.38 *** allocated 50625 integers for clauses
% 0.81/1.38 Resimplifying inuse:
% 0.81/1.38 Done
% 0.81/1.38
% 0.81/1.38 *** allocated 22500 integers for termspace/termends
% 0.81/1.38 *** allocated 75937 integers for clauses
% 0.81/1.38 *** allocated 33750 integers for termspace/termends
% 0.81/1.38
% 0.81/1.38 Bliksems!, er is een bewijs:
% 0.81/1.38 % SZS status Theorem
% 0.81/1.38 % SZS output start Refutation
% 0.81/1.38
% 0.81/1.38 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 0.81/1.38 (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 0.81/1.38 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.81/1.38 , ! distinct_lines( X, Y ) }.
% 0.81/1.38 (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), convergent_lines( Y,
% 0.81/1.38 Z ), ! convergent_lines( X, Y ) }.
% 0.81/1.38 (14) {G0,W5,D3,L1,V2,M1} I { ! convergent_lines( parallel_through_point( Y
% 0.81/1.38 , X ), Y ) }.
% 0.81/1.38 (15) {G0,W5,D3,L1,V2,M1} I { ! apart_point_and_line( X,
% 0.81/1.38 parallel_through_point( Y, X ) ) }.
% 0.81/1.38 (16) {G0,W12,D2,L4,V3,M2} I { ! distinct_lines( X, Y ), convergent_lines( X
% 0.81/1.38 , Y ), apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ) }.
% 0.81/1.38 (17) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1, skol2 ) }.
% 0.81/1.38 (18) {G0,W3,D2,L1,V0,M1} I { ! convergent_lines( skol2, skol3 ) }.
% 0.81/1.38 (19) {G0,W5,D3,L1,V0,M1} I { distinct_lines( skol2, parallel_through_point
% 0.81/1.38 ( skol3, skol1 ) ) }.
% 0.81/1.38 (28) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 0.81/1.38 ( X, Y ) }.
% 0.81/1.38 (31) {G2,W5,D3,L1,V0,M1} R(28,19) { distinct_lines( parallel_through_point
% 0.81/1.38 ( skol3, skol1 ), skol2 ) }.
% 0.81/1.38 (36) {G1,W6,D2,L2,V1,M2} R(5,18) { ! convergent_lines( skol2, X ),
% 0.81/1.38 convergent_lines( X, skol3 ) }.
% 0.81/1.38 (38) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 0.81/1.38 convergent_lines( X, Y ) }.
% 0.81/1.38 (67) {G2,W5,D3,L1,V1,M1} R(36,14) { ! convergent_lines( skol2,
% 0.81/1.38 parallel_through_point( skol3, X ) ) }.
% 0.81/1.38 (68) {G3,W5,D3,L1,V1,M1} R(67,38) { ! convergent_lines(
% 0.81/1.38 parallel_through_point( skol3, X ), skol2 ) }.
% 0.81/1.38 (199) {G1,W9,D2,L3,V1,M1} R(16,17) { convergent_lines( X, skol2 ), !
% 0.81/1.38 distinct_lines( X, skol2 ), apart_point_and_line( skol1, X ) }.
% 0.81/1.38 (985) {G2,W10,D3,L2,V1,M1} R(199,15) { convergent_lines(
% 0.81/1.38 parallel_through_point( X, skol1 ), skol2 ), ! distinct_lines(
% 0.81/1.38 parallel_through_point( X, skol1 ), skol2 ) }.
% 0.81/1.38 (1862) {G4,W0,D0,L0,V0,M0} R(985,31);r(68) { }.
% 0.81/1.38
% 0.81/1.38
% 0.81/1.38 % SZS output end Refutation
% 0.81/1.38 found a proof!
% 0.81/1.38
% 0.81/1.38
% 0.81/1.38 Unprocessed initial clauses:
% 0.81/1.38
% 0.81/1.38 (1864) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.81/1.38 (1865) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.81/1.38 (1866) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 0.81/1.38 (1867) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.81/1.38 , Z ), distinct_points( Y, Z ) }.
% 0.81/1.38 (1868) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 0.81/1.38 Z ), distinct_lines( Y, Z ) }.
% 0.81/1.38 (1869) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 0.81/1.38 ( X, Z ), convergent_lines( Y, Z ) }.
% 0.81/1.38 (1870) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.81/1.38 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.81/1.38 (1871) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.81/1.38 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.81/1.38 (1872) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.81/1.38 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 0.81/1.38 (1873) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.81/1.38 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 0.81/1.38 (1874) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 0.81/1.38 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 0.81/1.38 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 0.81/1.38 (1875) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.81/1.38 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 0.81/1.38 (1876) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.81/1.38 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 0.81/1.38 (1877) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines( Y
% 0.81/1.38 , Z ), convergent_lines( X, Z ) }.
% 0.81/1.38 (1878) {G0,W5,D3,L1,V2,M1} { ! convergent_lines( parallel_through_point( Y
% 0.81/1.38 , X ), Y ) }.
% 0.81/1.38 (1879) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 0.81/1.38 parallel_through_point( Y, X ) ) }.
% 0.81/1.38 (1880) {G0,W12,D2,L4,V3,M4} { ! distinct_lines( X, Y ),
% 0.81/1.38 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 0.81/1.38 convergent_lines( X, Y ) }.
% 0.81/1.38 (1881) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol1, skol2 ) }.
% 0.81/1.38 (1882) {G0,W3,D2,L1,V0,M1} { ! convergent_lines( skol2, skol3 ) }.
% 0.81/1.38 (1883) {G0,W5,D3,L1,V0,M1} { distinct_lines( skol2, parallel_through_point
% 0.81/1.38 ( skol3, skol1 ) ) }.
% 0.81/1.38
% 0.81/1.38
% 0.81/1.38 Total Proof:
% 0.81/1.38
% 0.81/1.38 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 0.81/1.38 parent0: (1865) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 0.81/1.38 parent0: (1866) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 0.81/1.38 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 0.81/1.38 parent0: (1868) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 0.81/1.38 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 Z := Z
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 2
% 0.81/1.38 1 ==> 0
% 0.81/1.38 2 ==> 1
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 0.81/1.38 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 0.81/1.38 parent0: (1869) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 0.81/1.38 convergent_lines( X, Z ), convergent_lines( Y, Z ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 Z := Z
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 2
% 0.81/1.38 1 ==> 0
% 0.81/1.38 2 ==> 1
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (14) {G0,W5,D3,L1,V2,M1} I { ! convergent_lines(
% 0.81/1.38 parallel_through_point( Y, X ), Y ) }.
% 0.81/1.38 parent0: (1878) {G0,W5,D3,L1,V2,M1} { ! convergent_lines(
% 0.81/1.38 parallel_through_point( Y, X ), Y ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (15) {G0,W5,D3,L1,V2,M1} I { ! apart_point_and_line( X,
% 0.81/1.38 parallel_through_point( Y, X ) ) }.
% 0.81/1.38 parent0: (1879) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 0.81/1.38 parallel_through_point( Y, X ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (16) {G0,W12,D2,L4,V3,M2} I { ! distinct_lines( X, Y ),
% 0.81/1.38 convergent_lines( X, Y ), apart_point_and_line( Z, X ),
% 0.81/1.38 apart_point_and_line( Z, Y ) }.
% 0.81/1.38 parent0: (1880) {G0,W12,D2,L4,V3,M4} { ! distinct_lines( X, Y ),
% 0.81/1.38 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 0.81/1.38 convergent_lines( X, Y ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 Z := Z
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 1 ==> 2
% 0.81/1.38 2 ==> 3
% 0.81/1.38 3 ==> 1
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (17) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 0.81/1.38 skol2 ) }.
% 0.81/1.38 parent0: (1881) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol1, skol2
% 0.81/1.38 ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (18) {G0,W3,D2,L1,V0,M1} I { ! convergent_lines( skol2, skol3
% 0.81/1.38 ) }.
% 0.81/1.38 parent0: (1882) {G0,W3,D2,L1,V0,M1} { ! convergent_lines( skol2, skol3 )
% 0.81/1.38 }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (19) {G0,W5,D3,L1,V0,M1} I { distinct_lines( skol2,
% 0.81/1.38 parallel_through_point( skol3, skol1 ) ) }.
% 0.81/1.38 parent0: (1883) {G0,W5,D3,L1,V0,M1} { distinct_lines( skol2,
% 0.81/1.38 parallel_through_point( skol3, skol1 ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 resolution: (1947) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 0.81/1.38 distinct_lines( X, Y ) }.
% 0.81/1.38 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 0.81/1.38 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 0.81/1.38 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 Z := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (28) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 0.81/1.38 distinct_lines( X, Y ) }.
% 0.81/1.38 parent0: (1947) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 0.81/1.38 distinct_lines( X, Y ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 1
% 0.81/1.38 1 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 resolution: (1949) {G1,W5,D3,L1,V0,M1} { distinct_lines(
% 0.81/1.38 parallel_through_point( skol3, skol1 ), skol2 ) }.
% 0.81/1.38 parent0[0]: (28) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 0.81/1.38 distinct_lines( X, Y ) }.
% 0.81/1.38 parent1[0]: (19) {G0,W5,D3,L1,V0,M1} I { distinct_lines( skol2,
% 0.81/1.38 parallel_through_point( skol3, skol1 ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := parallel_through_point( skol3, skol1 )
% 0.81/1.38 Y := skol2
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (31) {G2,W5,D3,L1,V0,M1} R(28,19) { distinct_lines(
% 0.81/1.38 parallel_through_point( skol3, skol1 ), skol2 ) }.
% 0.81/1.38 parent0: (1949) {G1,W5,D3,L1,V0,M1} { distinct_lines(
% 0.81/1.38 parallel_through_point( skol3, skol1 ), skol2 ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 resolution: (1950) {G1,W6,D2,L2,V1,M2} { convergent_lines( X, skol3 ), !
% 0.81/1.38 convergent_lines( skol2, X ) }.
% 0.81/1.38 parent0[0]: (18) {G0,W3,D2,L1,V0,M1} I { ! convergent_lines( skol2, skol3 )
% 0.81/1.38 }.
% 0.81/1.38 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 0.81/1.38 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := skol2
% 0.81/1.38 Y := X
% 0.81/1.38 Z := skol3
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (36) {G1,W6,D2,L2,V1,M2} R(5,18) { ! convergent_lines( skol2,
% 0.81/1.38 X ), convergent_lines( X, skol3 ) }.
% 0.81/1.38 parent0: (1950) {G1,W6,D2,L2,V1,M2} { convergent_lines( X, skol3 ), !
% 0.81/1.38 convergent_lines( skol2, X ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 1
% 0.81/1.38 1 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 resolution: (1952) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 0.81/1.38 convergent_lines( X, Y ) }.
% 0.81/1.38 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 0.81/1.38 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 0.81/1.38 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := Y
% 0.81/1.38 Z := X
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (38) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 0.81/1.38 convergent_lines( X, Y ) }.
% 0.81/1.38 parent0: (1952) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 0.81/1.38 convergent_lines( X, Y ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := Y
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 1
% 0.81/1.38 1 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 resolution: (1954) {G1,W5,D3,L1,V1,M1} { ! convergent_lines( skol2,
% 0.81/1.38 parallel_through_point( skol3, X ) ) }.
% 0.81/1.38 parent0[0]: (14) {G0,W5,D3,L1,V2,M1} I { ! convergent_lines(
% 0.81/1.38 parallel_through_point( Y, X ), Y ) }.
% 0.81/1.38 parent1[1]: (36) {G1,W6,D2,L2,V1,M2} R(5,18) { ! convergent_lines( skol2, X
% 0.81/1.38 ), convergent_lines( X, skol3 ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 Y := skol3
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := parallel_through_point( skol3, X )
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (67) {G2,W5,D3,L1,V1,M1} R(36,14) { ! convergent_lines( skol2
% 0.81/1.38 , parallel_through_point( skol3, X ) ) }.
% 0.81/1.38 parent0: (1954) {G1,W5,D3,L1,V1,M1} { ! convergent_lines( skol2,
% 0.81/1.38 parallel_through_point( skol3, X ) ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 resolution: (1955) {G2,W5,D3,L1,V1,M1} { ! convergent_lines(
% 0.81/1.38 parallel_through_point( skol3, X ), skol2 ) }.
% 0.81/1.38 parent0[0]: (67) {G2,W5,D3,L1,V1,M1} R(36,14) { ! convergent_lines( skol2,
% 0.81/1.38 parallel_through_point( skol3, X ) ) }.
% 0.81/1.38 parent1[1]: (38) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 0.81/1.38 convergent_lines( X, Y ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := skol2
% 0.81/1.38 Y := parallel_through_point( skol3, X )
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (68) {G3,W5,D3,L1,V1,M1} R(67,38) { ! convergent_lines(
% 0.81/1.38 parallel_through_point( skol3, X ), skol2 ) }.
% 0.81/1.38 parent0: (1955) {G2,W5,D3,L1,V1,M1} { ! convergent_lines(
% 0.81/1.38 parallel_through_point( skol3, X ), skol2 ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 resolution: (1957) {G1,W9,D2,L3,V1,M3} { ! distinct_lines( X, skol2 ),
% 0.81/1.38 convergent_lines( X, skol2 ), apart_point_and_line( skol1, X ) }.
% 0.81/1.38 parent0[0]: (17) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 0.81/1.38 skol2 ) }.
% 0.81/1.38 parent1[3]: (16) {G0,W12,D2,L4,V3,M2} I { ! distinct_lines( X, Y ),
% 0.81/1.38 convergent_lines( X, Y ), apart_point_and_line( Z, X ),
% 0.81/1.38 apart_point_and_line( Z, Y ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := X
% 0.81/1.38 Y := skol2
% 0.81/1.38 Z := skol1
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (199) {G1,W9,D2,L3,V1,M1} R(16,17) { convergent_lines( X,
% 0.81/1.38 skol2 ), ! distinct_lines( X, skol2 ), apart_point_and_line( skol1, X )
% 0.81/1.38 }.
% 0.81/1.38 parent0: (1957) {G1,W9,D2,L3,V1,M3} { ! distinct_lines( X, skol2 ),
% 0.81/1.38 convergent_lines( X, skol2 ), apart_point_and_line( skol1, X ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 1
% 0.81/1.38 1 ==> 0
% 0.81/1.38 2 ==> 2
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 resolution: (1958) {G1,W10,D3,L2,V1,M2} { convergent_lines(
% 0.81/1.38 parallel_through_point( X, skol1 ), skol2 ), ! distinct_lines(
% 0.81/1.38 parallel_through_point( X, skol1 ), skol2 ) }.
% 0.81/1.38 parent0[0]: (15) {G0,W5,D3,L1,V2,M1} I { ! apart_point_and_line( X,
% 0.81/1.38 parallel_through_point( Y, X ) ) }.
% 0.81/1.38 parent1[2]: (199) {G1,W9,D2,L3,V1,M1} R(16,17) { convergent_lines( X, skol2
% 0.81/1.38 ), ! distinct_lines( X, skol2 ), apart_point_and_line( skol1, X ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := skol1
% 0.81/1.38 Y := X
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 X := parallel_through_point( X, skol1 )
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (985) {G2,W10,D3,L2,V1,M1} R(199,15) { convergent_lines(
% 0.81/1.38 parallel_through_point( X, skol1 ), skol2 ), ! distinct_lines(
% 0.81/1.38 parallel_through_point( X, skol1 ), skol2 ) }.
% 0.81/1.38 parent0: (1958) {G1,W10,D3,L2,V1,M2} { convergent_lines(
% 0.81/1.38 parallel_through_point( X, skol1 ), skol2 ), ! distinct_lines(
% 0.81/1.38 parallel_through_point( X, skol1 ), skol2 ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := X
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 0 ==> 0
% 0.81/1.38 1 ==> 1
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 resolution: (1959) {G3,W5,D3,L1,V0,M1} { convergent_lines(
% 0.81/1.38 parallel_through_point( skol3, skol1 ), skol2 ) }.
% 0.81/1.38 parent0[1]: (985) {G2,W10,D3,L2,V1,M1} R(199,15) { convergent_lines(
% 0.81/1.38 parallel_through_point( X, skol1 ), skol2 ), ! distinct_lines(
% 0.81/1.38 parallel_through_point( X, skol1 ), skol2 ) }.
% 0.81/1.38 parent1[0]: (31) {G2,W5,D3,L1,V0,M1} R(28,19) { distinct_lines(
% 0.81/1.38 parallel_through_point( skol3, skol1 ), skol2 ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := skol3
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 resolution: (1960) {G4,W0,D0,L0,V0,M0} { }.
% 0.81/1.38 parent0[0]: (68) {G3,W5,D3,L1,V1,M1} R(67,38) { ! convergent_lines(
% 0.81/1.38 parallel_through_point( skol3, X ), skol2 ) }.
% 0.81/1.38 parent1[0]: (1959) {G3,W5,D3,L1,V0,M1} { convergent_lines(
% 0.81/1.38 parallel_through_point( skol3, skol1 ), skol2 ) }.
% 0.81/1.38 substitution0:
% 0.81/1.38 X := skol1
% 0.81/1.38 end
% 0.81/1.38 substitution1:
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 subsumption: (1862) {G4,W0,D0,L0,V0,M0} R(985,31);r(68) { }.
% 0.81/1.38 parent0: (1960) {G4,W0,D0,L0,V0,M0} { }.
% 0.81/1.38 substitution0:
% 0.81/1.38 end
% 0.81/1.38 permutation0:
% 0.81/1.38 end
% 0.81/1.38
% 0.81/1.38 Proof check complete!
% 0.81/1.38
% 0.81/1.38 Memory use:
% 0.81/1.38
% 0.81/1.38 space for terms: 25834
% 0.81/1.38 space for clauses: 70121
% 0.81/1.38
% 0.81/1.38
% 0.81/1.38 clauses generated: 18299
% 0.81/1.38 clauses kept: 1863
% 0.81/1.38 clauses selected: 238
% 0.81/1.38 clauses deleted: 0
% 0.81/1.38 clauses inuse deleted: 0
% 0.81/1.38
% 0.81/1.38 subsentry: 510660
% 0.81/1.38 literals s-matched: 144248
% 0.81/1.38 literals matched: 144218
% 0.81/1.38 full subsumption: 73714
% 0.81/1.38
% 0.81/1.38 checksum: 719640957
% 0.81/1.38
% 0.81/1.38
% 0.81/1.38 Bliksem ended
%------------------------------------------------------------------------------