TSTP Solution File: GEO213+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO213+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 02:52:49 EDT 2022
% Result : Theorem 1.20s 1.53s
% Output : Refutation 1.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO213+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sat Jun 18 13:59:29 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.20/1.53 *** allocated 10000 integers for termspace/termends
% 1.20/1.53 *** allocated 10000 integers for clauses
% 1.20/1.53 *** allocated 10000 integers for justifications
% 1.20/1.53 Bliksem 1.12
% 1.20/1.53
% 1.20/1.53
% 1.20/1.53 Automatic Strategy Selection
% 1.20/1.53
% 1.20/1.53
% 1.20/1.53 Clauses:
% 1.20/1.53
% 1.20/1.53 { ! distinct_points( X, X ) }.
% 1.20/1.53 { ! distinct_lines( X, X ) }.
% 1.20/1.53 { ! convergent_lines( X, X ) }.
% 1.20/1.53 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 1.20/1.53 ) }.
% 1.20/1.53 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 1.20/1.53 }.
% 1.20/1.53 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 1.20/1.53 , Z ) }.
% 1.20/1.53 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 1.20/1.53 , Y ) ), distinct_points( Z, X ) }.
% 1.20/1.53 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 1.20/1.53 , Y ) ), distinct_points( Z, Y ) }.
% 1.20/1.53 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, X ),
% 1.20/1.53 distinct_points( Z, intersection_point( X, Y ) ) }.
% 1.20/1.53 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, Y ),
% 1.20/1.53 distinct_points( Z, intersection_point( X, Y ) ) }.
% 1.20/1.53 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 1.20/1.53 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.20/1.53 apart_point_and_line( Y, T ) }.
% 1.20/1.53 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 1.20/1.53 apart_point_and_line( Z, Y ) }.
% 1.20/1.53 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 1.20/1.53 apart_point_and_line( X, Z ) }.
% 1.20/1.53 { ! convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 1.20/1.53 { ! convergent_lines( parallel_through_point( Y, X ), Y ) }.
% 1.20/1.53 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 1.20/1.53 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 1.20/1.53 apart_point_and_line( Z, Y ), convergent_lines( X, Y ) }.
% 1.20/1.53 { convergent_lines( X, Y ), unorthogonal_lines( X, Y ) }.
% 1.20/1.53 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Z )
% 1.20/1.53 , convergent_lines( Y, Z ) }.
% 1.20/1.53 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Z )
% 1.20/1.53 , unorthogonal_lines( Y, Z ) }.
% 1.20/1.53 { ! alpha1( X, Y ), convergent_lines( X, Y ) }.
% 1.20/1.53 { ! alpha1( X, Y ), unorthogonal_lines( X, Y ) }.
% 1.20/1.53 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Y )
% 1.20/1.53 }.
% 1.20/1.53 { ! unorthogonal_lines( orthogonal_through_point( Y, X ), Y ) }.
% 1.20/1.53 { ! apart_point_and_line( X, orthogonal_through_point( Y, X ) ) }.
% 1.20/1.53 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 1.20/1.53 apart_point_and_line( Z, Y ), unorthogonal_lines( X, T ),
% 1.20/1.53 unorthogonal_lines( Y, T ) }.
% 1.20/1.53 { unorthogonal_lines( skol1, skol2 ) }.
% 1.20/1.53 { ! distinct_lines( skol1, skol3 ) }.
% 1.20/1.53 { ! unorthogonal_lines( skol2, skol3 ) }.
% 1.20/1.53
% 1.20/1.53 percentage equality = 0.000000, percentage horn = 0.620690
% 1.20/1.53 This a non-horn, non-equality problem
% 1.20/1.53
% 1.20/1.53
% 1.20/1.53 Options Used:
% 1.20/1.53
% 1.20/1.53 useres = 1
% 1.20/1.53 useparamod = 0
% 1.20/1.53 useeqrefl = 0
% 1.20/1.53 useeqfact = 0
% 1.20/1.53 usefactor = 1
% 1.20/1.53 usesimpsplitting = 0
% 1.20/1.53 usesimpdemod = 0
% 1.20/1.53 usesimpres = 3
% 1.20/1.53
% 1.20/1.53 resimpinuse = 1000
% 1.20/1.53 resimpclauses = 20000
% 1.20/1.53 substype = standard
% 1.20/1.53 backwardsubs = 1
% 1.20/1.53 selectoldest = 5
% 1.20/1.53
% 1.20/1.53 litorderings [0] = split
% 1.20/1.53 litorderings [1] = liftord
% 1.20/1.53
% 1.20/1.53 termordering = none
% 1.20/1.53
% 1.20/1.53 litapriori = 1
% 1.20/1.53 termapriori = 0
% 1.20/1.53 litaposteriori = 0
% 1.20/1.53 termaposteriori = 0
% 1.20/1.53 demodaposteriori = 0
% 1.20/1.53 ordereqreflfact = 0
% 1.20/1.53
% 1.20/1.53 litselect = none
% 1.20/1.53
% 1.20/1.53 maxweight = 15
% 1.20/1.53 maxdepth = 30000
% 1.20/1.53 maxlength = 115
% 1.20/1.53 maxnrvars = 195
% 1.20/1.53 excuselevel = 1
% 1.20/1.53 increasemaxweight = 1
% 1.20/1.53
% 1.20/1.53 maxselected = 10000000
% 1.20/1.53 maxnrclauses = 10000000
% 1.20/1.53
% 1.20/1.53 showgenerated = 0
% 1.20/1.53 showkept = 0
% 1.20/1.53 showselected = 0
% 1.20/1.53 showdeleted = 0
% 1.20/1.53 showresimp = 1
% 1.20/1.53 showstatus = 2000
% 1.20/1.53
% 1.20/1.53 prologoutput = 0
% 1.20/1.53 nrgoals = 5000000
% 1.20/1.53 totalproof = 1
% 1.20/1.53
% 1.20/1.53 Symbols occurring in the translation:
% 1.20/1.53
% 1.20/1.53 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.20/1.53 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 1.20/1.53 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 1.20/1.53 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.20/1.53 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.20/1.53 distinct_points [36, 2] (w:1, o:48, a:1, s:1, b:0),
% 1.20/1.53 distinct_lines [37, 2] (w:1, o:49, a:1, s:1, b:0),
% 1.20/1.53 convergent_lines [38, 2] (w:1, o:47, a:1, s:1, b:0),
% 1.20/1.53 line_connecting [41, 2] (w:1, o:50, a:1, s:1, b:0),
% 1.20/1.53 apart_point_and_line [42, 2] (w:1, o:51, a:1, s:1, b:0),
% 1.20/1.53 intersection_point [43, 2] (w:1, o:52, a:1, s:1, b:0),
% 1.20/1.53 parallel_through_point [46, 2] (w:1, o:54, a:1, s:1, b:0),
% 1.20/1.53 unorthogonal_lines [49, 2] (w:1, o:55, a:1, s:1, b:0),
% 1.20/1.53 orthogonal_through_point [52, 2] (w:1, o:53, a:1, s:1, b:0),
% 1.20/1.53 alpha1 [53, 2] (w:1, o:56, a:1, s:1, b:0),
% 1.20/1.53 skol1 [54, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.20/1.53 skol2 [55, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.20/1.53 skol3 [56, 0] (w:1, o:17, a:1, s:1, b:0).
% 1.20/1.53
% 1.20/1.53
% 1.20/1.53 Starting Search:
% 1.20/1.53
% 1.20/1.53 *** allocated 15000 integers for clauses
% 1.20/1.53 *** allocated 22500 integers for clauses
% 1.20/1.53 *** allocated 33750 integers for clauses
% 1.20/1.53 *** allocated 50625 integers for clauses
% 1.20/1.53 *** allocated 15000 integers for termspace/termends
% 1.20/1.53 Resimplifying inuse:
% 1.20/1.53 Done
% 1.20/1.53
% 1.20/1.53 *** allocated 22500 integers for termspace/termends
% 1.20/1.53 *** allocated 75937 integers for clauses
% 1.20/1.53 *** allocated 33750 integers for termspace/termends
% 1.20/1.53 *** allocated 113905 integers for clauses
% 1.20/1.53
% 1.20/1.53 Intermediate Status:
% 1.20/1.53 Generated: 22468
% 1.20/1.53 Kept: 2015
% 1.20/1.53 Inuse: 354
% 1.20/1.53 Deleted: 0
% 1.20/1.53 Deletedinuse: 0
% 1.20/1.53
% 1.20/1.53 Resimplifying inuse:
% 1.20/1.53 Done
% 1.20/1.53
% 1.20/1.53 *** allocated 50625 integers for termspace/termends
% 1.20/1.53 *** allocated 170857 integers for clauses
% 1.20/1.53 Resimplifying inuse:
% 1.20/1.53 Done
% 1.20/1.53
% 1.20/1.53 *** allocated 75937 integers for termspace/termends
% 1.20/1.53
% 1.20/1.53 Intermediate Status:
% 1.20/1.53 Generated: 38798
% 1.20/1.53 Kept: 4017
% 1.20/1.53 Inuse: 515
% 1.20/1.53 Deleted: 0
% 1.20/1.53 Deletedinuse: 0
% 1.20/1.53
% 1.20/1.53 Resimplifying inuse:
% 1.20/1.53 Done
% 1.20/1.53
% 1.20/1.53
% 1.20/1.53 Bliksems!, er is een bewijs:
% 1.20/1.53 % SZS status Theorem
% 1.20/1.53 % SZS output start Refutation
% 1.20/1.53
% 1.20/1.53 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 1.20/1.53 (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 1.20/1.53 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 1.20/1.53 , ! distinct_lines( X, Y ) }.
% 1.20/1.53 (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), convergent_lines( Y,
% 1.20/1.53 Z ), ! convergent_lines( X, Y ) }.
% 1.20/1.53 (13) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ), distinct_lines( X
% 1.20/1.53 , Y ) }.
% 1.20/1.53 (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), unorthogonal_lines(
% 1.20/1.53 X, Y ) }.
% 1.20/1.53 (19) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 1.20/1.53 unorthogonal_lines( X, Y ), unorthogonal_lines( Y, Z ), alpha1( X, Z )
% 1.20/1.53 }.
% 1.20/1.53 (20) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), ! alpha1( X, Y ) }.
% 1.20/1.53 (26) {G0,W3,D2,L1,V0,M1} I { unorthogonal_lines( skol1, skol2 ) }.
% 1.20/1.53 (27) {G0,W3,D2,L1,V0,M1} I { ! distinct_lines( skol1, skol3 ) }.
% 1.20/1.53 (28) {G0,W3,D2,L1,V0,M1} I { ! unorthogonal_lines( skol2, skol3 ) }.
% 1.20/1.53 (36) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 1.20/1.53 ( X, Y ) }.
% 1.20/1.53 (39) {G2,W3,D2,L1,V0,M1} R(36,27) { ! distinct_lines( skol3, skol1 ) }.
% 1.20/1.53 (48) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 1.20/1.53 convergent_lines( X, Y ) }.
% 1.20/1.53 (55) {G1,W3,D2,L1,V0,M1} R(17,28) { convergent_lines( skol2, skol3 ) }.
% 1.20/1.53 (56) {G2,W3,D2,L1,V0,M1} R(55,48) { convergent_lines( skol3, skol2 ) }.
% 1.20/1.53 (60) {G3,W3,D2,L1,V0,M1} R(13,39) { ! convergent_lines( skol3, skol1 ) }.
% 1.20/1.53 (63) {G1,W3,D2,L1,V0,M1} R(13,27) { ! convergent_lines( skol1, skol3 ) }.
% 1.20/1.53 (64) {G4,W6,D2,L2,V1,M2} R(60,5) { ! convergent_lines( skol3, X ),
% 1.20/1.53 convergent_lines( X, skol1 ) }.
% 1.20/1.53 (110) {G5,W3,D2,L1,V0,M1} R(64,56) { convergent_lines( skol2, skol1 ) }.
% 1.20/1.53 (116) {G6,W3,D2,L1,V0,M1} R(110,48) { convergent_lines( skol1, skol2 ) }.
% 1.20/1.53 (189) {G1,W12,D2,L4,V3,M2} R(19,20) { ! convergent_lines( X, Y ),
% 1.20/1.53 convergent_lines( X, Z ), ! unorthogonal_lines( X, Y ),
% 1.20/1.53 unorthogonal_lines( Y, Z ) }.
% 1.20/1.53 (4133) {G7,W6,D2,L2,V1,M1} R(189,26);r(116) { convergent_lines( skol1, X )
% 1.20/1.53 , unorthogonal_lines( skol2, X ) }.
% 1.20/1.53 (4138) {G8,W0,D0,L0,V0,M0} R(4133,28);r(63) { }.
% 1.20/1.53
% 1.20/1.53
% 1.20/1.53 % SZS output end Refutation
% 1.20/1.53 found a proof!
% 1.20/1.53
% 1.20/1.53
% 1.20/1.53 Unprocessed initial clauses:
% 1.20/1.53
% 1.20/1.53 (4140) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 1.20/1.53 (4141) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 1.20/1.53 (4142) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 1.20/1.53 (4143) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 1.20/1.53 , Z ), distinct_points( Y, Z ) }.
% 1.20/1.53 (4144) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 1.20/1.53 Z ), distinct_lines( Y, Z ) }.
% 1.20/1.53 (4145) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 1.20/1.53 ( X, Z ), convergent_lines( Y, Z ) }.
% 1.20/1.53 (4146) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 1.20/1.53 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 1.20/1.53 ) }.
% 1.20/1.53 (4147) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 1.20/1.53 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 1.20/1.53 ) }.
% 1.20/1.53 (4148) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 1.20/1.53 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 1.20/1.53 Y ) ) }.
% 1.20/1.53 (4149) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 1.20/1.53 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 1.20/1.53 Y ) ) }.
% 1.20/1.53 (4150) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 1.20/1.53 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 1.20/1.53 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 1.20/1.53 (4151) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.20/1.53 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 1.20/1.53 (4152) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.20/1.53 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 1.20/1.53 (4153) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ), distinct_lines( X
% 1.20/1.53 , Y ) }.
% 1.20/1.53 (4154) {G0,W5,D3,L1,V2,M1} { ! convergent_lines( parallel_through_point( Y
% 1.20/1.53 , X ), Y ) }.
% 1.20/1.53 (4155) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 1.20/1.53 parallel_through_point( Y, X ) ) }.
% 1.20/1.53 (4156) {G0,W12,D2,L4,V3,M4} { ! distinct_lines( X, Y ),
% 1.20/1.53 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 1.20/1.53 convergent_lines( X, Y ) }.
% 1.20/1.53 (4157) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), unorthogonal_lines
% 1.20/1.53 ( X, Y ) }.
% 1.20/1.53 (4158) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 1.20/1.53 unorthogonal_lines( X, Y ), alpha1( X, Z ), convergent_lines( Y, Z ) }.
% 1.20/1.53 (4159) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 1.20/1.53 unorthogonal_lines( X, Y ), alpha1( X, Z ), unorthogonal_lines( Y, Z )
% 1.20/1.53 }.
% 1.20/1.53 (4160) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), convergent_lines( X, Y )
% 1.20/1.53 }.
% 1.20/1.53 (4161) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), unorthogonal_lines( X, Y )
% 1.20/1.53 }.
% 1.20/1.53 (4162) {G0,W9,D2,L3,V2,M3} { ! convergent_lines( X, Y ), !
% 1.20/1.53 unorthogonal_lines( X, Y ), alpha1( X, Y ) }.
% 1.20/1.53 (4163) {G0,W5,D3,L1,V2,M1} { ! unorthogonal_lines(
% 1.20/1.53 orthogonal_through_point( Y, X ), Y ) }.
% 1.20/1.53 (4164) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 1.20/1.53 orthogonal_through_point( Y, X ) ) }.
% 1.20/1.53 (4165) {G0,W15,D2,L5,V4,M5} { ! distinct_lines( X, Y ),
% 1.20/1.53 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 1.20/1.53 unorthogonal_lines( X, T ), unorthogonal_lines( Y, T ) }.
% 1.20/1.53 (4166) {G0,W3,D2,L1,V0,M1} { unorthogonal_lines( skol1, skol2 ) }.
% 1.20/1.53 (4167) {G0,W3,D2,L1,V0,M1} { ! distinct_lines( skol1, skol3 ) }.
% 1.20/1.53 (4168) {G0,W3,D2,L1,V0,M1} { ! unorthogonal_lines( skol2, skol3 ) }.
% 1.20/1.53
% 1.20/1.53
% 1.20/1.53 Total Proof:
% 1.20/1.53
% 1.20/1.53 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 1.20/1.53 parent0: (4141) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 X := X
% 1.20/1.53 end
% 1.20/1.53 permutation0:
% 1.20/1.53 0 ==> 0
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 1.20/1.53 parent0: (4142) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 X := X
% 1.20/1.53 end
% 1.20/1.53 permutation0:
% 1.20/1.53 0 ==> 0
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 1.20/1.53 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 1.20/1.53 parent0: (4144) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 1.20/1.53 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 X := X
% 1.20/1.53 Y := Y
% 1.20/1.53 Z := Z
% 1.20/1.53 end
% 1.20/1.53 permutation0:
% 1.20/1.53 0 ==> 2
% 1.20/1.53 1 ==> 0
% 1.20/1.53 2 ==> 1
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 subsumption: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 1.20/1.53 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 1.20/1.53 parent0: (4145) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 1.20/1.53 convergent_lines( X, Z ), convergent_lines( Y, Z ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 X := X
% 1.20/1.53 Y := Y
% 1.20/1.53 Z := Z
% 1.20/1.53 end
% 1.20/1.53 permutation0:
% 1.20/1.53 0 ==> 2
% 1.20/1.53 1 ==> 0
% 1.20/1.53 2 ==> 1
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 subsumption: (13) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ),
% 1.20/1.53 distinct_lines( X, Y ) }.
% 1.20/1.53 parent0: (4153) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 1.20/1.53 distinct_lines( X, Y ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 X := X
% 1.20/1.53 Y := Y
% 1.20/1.53 end
% 1.20/1.53 permutation0:
% 1.20/1.53 0 ==> 0
% 1.20/1.53 1 ==> 1
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 subsumption: (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ),
% 1.20/1.53 unorthogonal_lines( X, Y ) }.
% 1.20/1.53 parent0: (4157) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ),
% 1.20/1.53 unorthogonal_lines( X, Y ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 X := X
% 1.20/1.53 Y := Y
% 1.20/1.53 end
% 1.20/1.53 permutation0:
% 1.20/1.53 0 ==> 0
% 1.20/1.53 1 ==> 1
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 subsumption: (19) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 1.20/1.53 unorthogonal_lines( X, Y ), unorthogonal_lines( Y, Z ), alpha1( X, Z )
% 1.20/1.53 }.
% 1.20/1.53 parent0: (4159) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 1.20/1.53 unorthogonal_lines( X, Y ), alpha1( X, Z ), unorthogonal_lines( Y, Z )
% 1.20/1.53 }.
% 1.20/1.53 substitution0:
% 1.20/1.53 X := X
% 1.20/1.53 Y := Y
% 1.20/1.53 Z := Z
% 1.20/1.53 end
% 1.20/1.53 permutation0:
% 1.20/1.53 0 ==> 0
% 1.20/1.53 1 ==> 1
% 1.20/1.53 2 ==> 3
% 1.20/1.53 3 ==> 2
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 subsumption: (20) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), !
% 1.20/1.53 alpha1( X, Y ) }.
% 1.20/1.53 parent0: (4160) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), convergent_lines(
% 1.20/1.53 X, Y ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 X := X
% 1.20/1.53 Y := Y
% 1.20/1.53 end
% 1.20/1.53 permutation0:
% 1.20/1.53 0 ==> 1
% 1.20/1.53 1 ==> 0
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 subsumption: (26) {G0,W3,D2,L1,V0,M1} I { unorthogonal_lines( skol1, skol2
% 1.20/1.53 ) }.
% 1.20/1.53 parent0: (4166) {G0,W3,D2,L1,V0,M1} { unorthogonal_lines( skol1, skol2 )
% 1.20/1.53 }.
% 1.20/1.53 substitution0:
% 1.20/1.53 end
% 1.20/1.53 permutation0:
% 1.20/1.53 0 ==> 0
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 subsumption: (27) {G0,W3,D2,L1,V0,M1} I { ! distinct_lines( skol1, skol3 )
% 1.20/1.53 }.
% 1.20/1.53 parent0: (4167) {G0,W3,D2,L1,V0,M1} { ! distinct_lines( skol1, skol3 ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 end
% 1.20/1.53 permutation0:
% 1.20/1.53 0 ==> 0
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 subsumption: (28) {G0,W3,D2,L1,V0,M1} I { ! unorthogonal_lines( skol2,
% 1.20/1.53 skol3 ) }.
% 1.20/1.53 parent0: (4168) {G0,W3,D2,L1,V0,M1} { ! unorthogonal_lines( skol2, skol3 )
% 1.20/1.53 }.
% 1.20/1.53 substitution0:
% 1.20/1.53 end
% 1.20/1.53 permutation0:
% 1.20/1.53 0 ==> 0
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 resolution: (4249) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 1.20/1.53 distinct_lines( X, Y ) }.
% 1.20/1.53 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 1.20/1.53 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 1.20/1.53 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 X := X
% 1.20/1.53 end
% 1.20/1.53 substitution1:
% 1.20/1.53 X := X
% 1.20/1.53 Y := Y
% 1.20/1.53 Z := X
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 subsumption: (36) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 1.20/1.53 distinct_lines( X, Y ) }.
% 1.20/1.53 parent0: (4249) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 1.20/1.53 distinct_lines( X, Y ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 X := Y
% 1.20/1.53 Y := X
% 1.20/1.53 end
% 1.20/1.53 permutation0:
% 1.20/1.53 0 ==> 1
% 1.20/1.53 1 ==> 0
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 resolution: (4251) {G1,W3,D2,L1,V0,M1} { ! distinct_lines( skol3, skol1 )
% 1.20/1.53 }.
% 1.20/1.53 parent0[0]: (27) {G0,W3,D2,L1,V0,M1} I { ! distinct_lines( skol1, skol3 )
% 1.20/1.53 }.
% 1.20/1.53 parent1[1]: (36) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 1.20/1.53 distinct_lines( X, Y ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 end
% 1.20/1.53 substitution1:
% 1.20/1.53 X := skol1
% 1.20/1.53 Y := skol3
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 subsumption: (39) {G2,W3,D2,L1,V0,M1} R(36,27) { ! distinct_lines( skol3,
% 1.20/1.53 skol1 ) }.
% 1.20/1.53 parent0: (4251) {G1,W3,D2,L1,V0,M1} { ! distinct_lines( skol3, skol1 ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 end
% 1.20/1.53 permutation0:
% 1.20/1.53 0 ==> 0
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 resolution: (4252) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 1.20/1.53 convergent_lines( X, Y ) }.
% 1.20/1.53 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 1.20/1.53 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 1.20/1.53 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 X := X
% 1.20/1.53 end
% 1.20/1.53 substitution1:
% 1.20/1.53 X := X
% 1.20/1.53 Y := Y
% 1.20/1.53 Z := X
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 subsumption: (48) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 1.20/1.53 convergent_lines( X, Y ) }.
% 1.20/1.53 parent0: (4252) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 1.20/1.53 convergent_lines( X, Y ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 X := Y
% 1.20/1.53 Y := X
% 1.20/1.53 end
% 1.20/1.53 permutation0:
% 1.20/1.53 0 ==> 1
% 1.20/1.53 1 ==> 0
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 resolution: (4254) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol2, skol3 )
% 1.20/1.53 }.
% 1.20/1.53 parent0[0]: (28) {G0,W3,D2,L1,V0,M1} I { ! unorthogonal_lines( skol2, skol3
% 1.20/1.53 ) }.
% 1.20/1.53 parent1[1]: (17) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ),
% 1.20/1.53 unorthogonal_lines( X, Y ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 end
% 1.20/1.53 substitution1:
% 1.20/1.53 X := skol2
% 1.20/1.53 Y := skol3
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 subsumption: (55) {G1,W3,D2,L1,V0,M1} R(17,28) { convergent_lines( skol2,
% 1.20/1.53 skol3 ) }.
% 1.20/1.53 parent0: (4254) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol2, skol3 ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 end
% 1.20/1.53 permutation0:
% 1.20/1.53 0 ==> 0
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 resolution: (4255) {G2,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol2 )
% 1.20/1.53 }.
% 1.20/1.53 parent0[0]: (48) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 1.20/1.53 convergent_lines( X, Y ) }.
% 1.20/1.53 parent1[0]: (55) {G1,W3,D2,L1,V0,M1} R(17,28) { convergent_lines( skol2,
% 1.20/1.53 skol3 ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 X := skol3
% 1.20/1.53 Y := skol2
% 1.20/1.53 end
% 1.20/1.53 substitution1:
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 subsumption: (56) {G2,W3,D2,L1,V0,M1} R(55,48) { convergent_lines( skol3,
% 1.20/1.53 skol2 ) }.
% 1.20/1.53 parent0: (4255) {G2,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol2 ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 end
% 1.20/1.53 permutation0:
% 1.20/1.53 0 ==> 0
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 resolution: (4256) {G1,W3,D2,L1,V0,M1} { ! convergent_lines( skol3, skol1
% 1.20/1.53 ) }.
% 1.20/1.53 parent0[0]: (39) {G2,W3,D2,L1,V0,M1} R(36,27) { ! distinct_lines( skol3,
% 1.20/1.53 skol1 ) }.
% 1.20/1.53 parent1[1]: (13) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ),
% 1.20/1.53 distinct_lines( X, Y ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 end
% 1.20/1.53 substitution1:
% 1.20/1.53 X := skol3
% 1.20/1.53 Y := skol1
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 subsumption: (60) {G3,W3,D2,L1,V0,M1} R(13,39) { ! convergent_lines( skol3
% 1.20/1.53 , skol1 ) }.
% 1.20/1.53 parent0: (4256) {G1,W3,D2,L1,V0,M1} { ! convergent_lines( skol3, skol1 )
% 1.20/1.53 }.
% 1.20/1.53 substitution0:
% 1.20/1.53 end
% 1.20/1.53 permutation0:
% 1.20/1.53 0 ==> 0
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 resolution: (4257) {G1,W3,D2,L1,V0,M1} { ! convergent_lines( skol1, skol3
% 1.20/1.53 ) }.
% 1.20/1.53 parent0[0]: (27) {G0,W3,D2,L1,V0,M1} I { ! distinct_lines( skol1, skol3 )
% 1.20/1.53 }.
% 1.20/1.53 parent1[1]: (13) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ),
% 1.20/1.53 distinct_lines( X, Y ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 end
% 1.20/1.53 substitution1:
% 1.20/1.53 X := skol1
% 1.20/1.53 Y := skol3
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 subsumption: (63) {G1,W3,D2,L1,V0,M1} R(13,27) { ! convergent_lines( skol1
% 1.20/1.53 , skol3 ) }.
% 1.20/1.53 parent0: (4257) {G1,W3,D2,L1,V0,M1} { ! convergent_lines( skol1, skol3 )
% 1.20/1.53 }.
% 1.20/1.53 substitution0:
% 1.20/1.53 end
% 1.20/1.53 permutation0:
% 1.20/1.53 0 ==> 0
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 resolution: (4258) {G1,W6,D2,L2,V1,M2} { convergent_lines( X, skol1 ), !
% 1.20/1.53 convergent_lines( skol3, X ) }.
% 1.20/1.53 parent0[0]: (60) {G3,W3,D2,L1,V0,M1} R(13,39) { ! convergent_lines( skol3,
% 1.20/1.53 skol1 ) }.
% 1.20/1.53 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 1.20/1.53 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 end
% 1.20/1.53 substitution1:
% 1.20/1.53 X := skol3
% 1.20/1.53 Y := X
% 1.20/1.53 Z := skol1
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 subsumption: (64) {G4,W6,D2,L2,V1,M2} R(60,5) { ! convergent_lines( skol3,
% 1.20/1.53 X ), convergent_lines( X, skol1 ) }.
% 1.20/1.53 parent0: (4258) {G1,W6,D2,L2,V1,M2} { convergent_lines( X, skol1 ), !
% 1.20/1.53 convergent_lines( skol3, X ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 X := X
% 1.20/1.53 end
% 1.20/1.53 permutation0:
% 1.20/1.53 0 ==> 1
% 1.20/1.53 1 ==> 0
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 resolution: (4260) {G3,W3,D2,L1,V0,M1} { convergent_lines( skol2, skol1 )
% 1.20/1.53 }.
% 1.20/1.53 parent0[0]: (64) {G4,W6,D2,L2,V1,M2} R(60,5) { ! convergent_lines( skol3, X
% 1.20/1.53 ), convergent_lines( X, skol1 ) }.
% 1.20/1.53 parent1[0]: (56) {G2,W3,D2,L1,V0,M1} R(55,48) { convergent_lines( skol3,
% 1.20/1.53 skol2 ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 X := skol2
% 1.20/1.53 end
% 1.20/1.53 substitution1:
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 subsumption: (110) {G5,W3,D2,L1,V0,M1} R(64,56) { convergent_lines( skol2,
% 1.20/1.53 skol1 ) }.
% 1.20/1.53 parent0: (4260) {G3,W3,D2,L1,V0,M1} { convergent_lines( skol2, skol1 ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 end
% 1.20/1.53 permutation0:
% 1.20/1.53 0 ==> 0
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 resolution: (4261) {G2,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 )
% 1.20/1.53 }.
% 1.20/1.53 parent0[0]: (48) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 1.20/1.53 convergent_lines( X, Y ) }.
% 1.20/1.53 parent1[0]: (110) {G5,W3,D2,L1,V0,M1} R(64,56) { convergent_lines( skol2,
% 1.20/1.53 skol1 ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 X := skol1
% 1.20/1.53 Y := skol2
% 1.20/1.53 end
% 1.20/1.53 substitution1:
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 subsumption: (116) {G6,W3,D2,L1,V0,M1} R(110,48) { convergent_lines( skol1
% 1.20/1.53 , skol2 ) }.
% 1.20/1.53 parent0: (4261) {G2,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 end
% 1.20/1.53 permutation0:
% 1.20/1.53 0 ==> 0
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 resolution: (4263) {G1,W12,D2,L4,V3,M4} { convergent_lines( X, Y ), !
% 1.20/1.53 convergent_lines( X, Z ), ! unorthogonal_lines( X, Z ),
% 1.20/1.53 unorthogonal_lines( Z, Y ) }.
% 1.20/1.53 parent0[1]: (20) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), ! alpha1
% 1.20/1.53 ( X, Y ) }.
% 1.20/1.53 parent1[3]: (19) {G0,W12,D2,L4,V3,M1} I { ! convergent_lines( X, Y ), !
% 1.20/1.53 unorthogonal_lines( X, Y ), unorthogonal_lines( Y, Z ), alpha1( X, Z )
% 1.20/1.53 }.
% 1.20/1.53 substitution0:
% 1.20/1.53 X := X
% 1.20/1.53 Y := Y
% 1.20/1.53 end
% 1.20/1.53 substitution1:
% 1.20/1.53 X := X
% 1.20/1.53 Y := Z
% 1.20/1.53 Z := Y
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 subsumption: (189) {G1,W12,D2,L4,V3,M2} R(19,20) { ! convergent_lines( X, Y
% 1.20/1.53 ), convergent_lines( X, Z ), ! unorthogonal_lines( X, Y ),
% 1.20/1.53 unorthogonal_lines( Y, Z ) }.
% 1.20/1.53 parent0: (4263) {G1,W12,D2,L4,V3,M4} { convergent_lines( X, Y ), !
% 1.20/1.53 convergent_lines( X, Z ), ! unorthogonal_lines( X, Z ),
% 1.20/1.53 unorthogonal_lines( Z, Y ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 X := X
% 1.20/1.53 Y := Z
% 1.20/1.53 Z := Y
% 1.20/1.53 end
% 1.20/1.53 permutation0:
% 1.20/1.53 0 ==> 1
% 1.20/1.53 1 ==> 0
% 1.20/1.53 2 ==> 2
% 1.20/1.53 3 ==> 3
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 resolution: (4264) {G1,W9,D2,L3,V1,M3} { ! convergent_lines( skol1, skol2
% 1.20/1.53 ), convergent_lines( skol1, X ), unorthogonal_lines( skol2, X ) }.
% 1.20/1.53 parent0[2]: (189) {G1,W12,D2,L4,V3,M2} R(19,20) { ! convergent_lines( X, Y
% 1.20/1.53 ), convergent_lines( X, Z ), ! unorthogonal_lines( X, Y ),
% 1.20/1.53 unorthogonal_lines( Y, Z ) }.
% 1.20/1.53 parent1[0]: (26) {G0,W3,D2,L1,V0,M1} I { unorthogonal_lines( skol1, skol2 )
% 1.20/1.53 }.
% 1.20/1.53 substitution0:
% 1.20/1.53 X := skol1
% 1.20/1.53 Y := skol2
% 1.20/1.53 Z := X
% 1.20/1.53 end
% 1.20/1.53 substitution1:
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 resolution: (4265) {G2,W6,D2,L2,V1,M2} { convergent_lines( skol1, X ),
% 1.20/1.53 unorthogonal_lines( skol2, X ) }.
% 1.20/1.53 parent0[0]: (4264) {G1,W9,D2,L3,V1,M3} { ! convergent_lines( skol1, skol2
% 1.20/1.53 ), convergent_lines( skol1, X ), unorthogonal_lines( skol2, X ) }.
% 1.20/1.53 parent1[0]: (116) {G6,W3,D2,L1,V0,M1} R(110,48) { convergent_lines( skol1,
% 1.20/1.53 skol2 ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 X := X
% 1.20/1.53 end
% 1.20/1.53 substitution1:
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 subsumption: (4133) {G7,W6,D2,L2,V1,M1} R(189,26);r(116) { convergent_lines
% 1.20/1.53 ( skol1, X ), unorthogonal_lines( skol2, X ) }.
% 1.20/1.53 parent0: (4265) {G2,W6,D2,L2,V1,M2} { convergent_lines( skol1, X ),
% 1.20/1.53 unorthogonal_lines( skol2, X ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 X := X
% 1.20/1.53 end
% 1.20/1.53 permutation0:
% 1.20/1.53 0 ==> 0
% 1.20/1.53 1 ==> 1
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 resolution: (4266) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol3 )
% 1.20/1.53 }.
% 1.20/1.53 parent0[0]: (28) {G0,W3,D2,L1,V0,M1} I { ! unorthogonal_lines( skol2, skol3
% 1.20/1.53 ) }.
% 1.20/1.53 parent1[1]: (4133) {G7,W6,D2,L2,V1,M1} R(189,26);r(116) { convergent_lines
% 1.20/1.53 ( skol1, X ), unorthogonal_lines( skol2, X ) }.
% 1.20/1.53 substitution0:
% 1.20/1.53 end
% 1.20/1.53 substitution1:
% 1.20/1.53 X := skol3
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 resolution: (4267) {G2,W0,D0,L0,V0,M0} { }.
% 1.20/1.53 parent0[0]: (63) {G1,W3,D2,L1,V0,M1} R(13,27) { ! convergent_lines( skol1,
% 1.20/1.53 skol3 ) }.
% 1.20/1.53 parent1[0]: (4266) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol3 )
% 1.20/1.53 }.
% 1.20/1.53 substitution0:
% 1.20/1.53 end
% 1.20/1.53 substitution1:
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 subsumption: (4138) {G8,W0,D0,L0,V0,M0} R(4133,28);r(63) { }.
% 1.20/1.53 parent0: (4267) {G2,W0,D0,L0,V0,M0} { }.
% 1.20/1.53 substitution0:
% 1.20/1.53 end
% 1.20/1.53 permutation0:
% 1.20/1.53 end
% 1.20/1.53
% 1.20/1.53 Proof check complete!
% 1.20/1.53
% 1.20/1.53 Memory use:
% 1.20/1.53
% 1.20/1.53 space for terms: 53821
% 1.20/1.53 space for clauses: 163441
% 1.20/1.53
% 1.20/1.53
% 1.20/1.53 clauses generated: 39802
% 1.20/1.53 clauses kept: 4139
% 1.20/1.53 clauses selected: 532
% 1.20/1.53 clauses deleted: 0
% 1.20/1.53 clauses inuse deleted: 0
% 1.20/1.53
% 1.20/1.53 subsentry: 672117
% 1.20/1.53 literals s-matched: 227882
% 1.20/1.53 literals matched: 227847
% 1.20/1.53 full subsumption: 141093
% 1.20/1.53
% 1.20/1.53 checksum: -85077184
% 1.20/1.53
% 1.20/1.53
% 1.20/1.53 Bliksem ended
%------------------------------------------------------------------------------