TSTP Solution File: GEO175+3 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO175+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 02:52:16 EDT 2022
% Result : Theorem 5.85s 6.26s
% Output : Refutation 5.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO175+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n012.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 12:22:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.42/3.79 *** allocated 10000 integers for termspace/termends
% 3.42/3.79 *** allocated 10000 integers for clauses
% 3.42/3.79 *** allocated 10000 integers for justifications
% 3.42/3.79 Bliksem 1.12
% 3.42/3.79
% 3.42/3.79
% 3.42/3.79 Automatic Strategy Selection
% 3.42/3.79
% 3.42/3.79
% 3.42/3.79 Clauses:
% 3.42/3.79
% 3.42/3.79 { ! distinct_points( X, X ) }.
% 3.42/3.79 { ! distinct_lines( X, X ) }.
% 3.42/3.79 { ! convergent_lines( X, X ) }.
% 3.42/3.79 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 3.42/3.79 ) }.
% 3.42/3.79 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 3.42/3.79 }.
% 3.42/3.79 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 3.42/3.79 , Z ) }.
% 3.42/3.79 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 3.42/3.79 , Y ) ) }.
% 3.42/3.79 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 3.42/3.79 , Y ) ) }.
% 3.42/3.79 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 3.42/3.79 , Y ), X ) }.
% 3.42/3.79 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 3.42/3.79 , Y ), Y ) }.
% 3.42/3.79 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 3.42/3.79 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 3.42/3.79 apart_point_and_line( Y, T ) }.
% 3.42/3.79 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 3.42/3.79 apart_point_and_line( Z, Y ) }.
% 3.42/3.79 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 3.42/3.79 apart_point_and_line( X, Z ) }.
% 3.42/3.79 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 3.42/3.79 Z ) }.
% 3.42/3.79 { ! distinct_lines( X, Y ), convergent_lines( X, Y ) }.
% 3.42/3.79 { ! convergent_lines( parallel_through_point( Y, X ), Y ) }.
% 3.42/3.79 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 3.42/3.79 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 3.42/3.79 apart_point_and_line( Z, Y ), convergent_lines( X, Y ) }.
% 3.42/3.79 { convergent_lines( X, Y ), unorthogonal_lines( X, Y ) }.
% 3.42/3.79 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Z )
% 3.42/3.79 , convergent_lines( Y, Z ) }.
% 3.42/3.79 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Z )
% 3.42/3.79 , unorthogonal_lines( Y, Z ) }.
% 3.42/3.79 { ! alpha1( X, Y ), convergent_lines( X, Y ) }.
% 3.42/3.79 { ! alpha1( X, Y ), unorthogonal_lines( X, Y ) }.
% 3.42/3.79 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Y )
% 3.42/3.79 }.
% 3.42/3.79 { ! unorthogonal_lines( orthogonal_through_point( Y, X ), Y ) }.
% 3.42/3.79 { ! apart_point_and_line( X, orthogonal_through_point( Y, X ) ) }.
% 3.42/3.79 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 3.42/3.79 apart_point_and_line( Z, Y ), unorthogonal_lines( X, T ),
% 3.42/3.79 unorthogonal_lines( Y, T ) }.
% 3.42/3.79 { convergent_lines( X, Y ), unorthogonal_lines( X, Y ) }.
% 3.42/3.79 { alpha2( X, Z ), convergent_lines( Z, Y ), ! convergent_lines( X, Y ), !
% 3.42/3.79 unorthogonal_lines( X, Y ) }.
% 3.42/3.79 { alpha2( X, Z ), unorthogonal_lines( Z, Y ), ! convergent_lines( X, Y ), !
% 3.42/3.79 unorthogonal_lines( X, Y ) }.
% 3.42/3.79 { ! alpha2( X, Y ), convergent_lines( Y, X ) }.
% 3.42/3.79 { ! alpha2( X, Y ), unorthogonal_lines( Y, X ) }.
% 3.42/3.79 { ! convergent_lines( Y, X ), ! unorthogonal_lines( Y, X ), alpha2( X, Y )
% 3.42/3.79 }.
% 3.42/3.79 { unorthogonal_lines( Z, X ), unorthogonal_lines( Z, Y ), !
% 3.42/3.79 convergent_lines( X, Y ) }.
% 3.42/3.79 { ! point( X ), ! point( Y ), ! distinct_points( X, Y ), line(
% 3.42/3.79 line_connecting( X, Y ) ) }.
% 3.42/3.79 { ! line( X ), ! line( Y ), ! convergent_lines( X, Y ), point(
% 3.42/3.79 intersection_point( X, Y ) ) }.
% 3.42/3.79 { ! line( X ), ! point( Y ), line( parallel_through_point( X, Y ) ) }.
% 3.42/3.79 { ! line( X ), ! point( Y ), line( orthogonal_through_point( X, Y ) ) }.
% 3.42/3.79 { ! equal_points( X, Y ), ! distinct_points( X, Y ) }.
% 3.42/3.79 { distinct_points( X, Y ), equal_points( X, Y ) }.
% 3.42/3.79 { ! equal_lines( X, Y ), ! distinct_lines( X, Y ) }.
% 3.42/3.79 { distinct_lines( X, Y ), equal_lines( X, Y ) }.
% 3.42/3.79 { ! parallel_lines( X, Y ), ! convergent_lines( X, Y ) }.
% 3.42/3.79 { convergent_lines( X, Y ), parallel_lines( X, Y ) }.
% 3.42/3.79 { ! incident_point_and_line( X, Y ), ! apart_point_and_line( X, Y ) }.
% 3.42/3.79 { apart_point_and_line( X, Y ), incident_point_and_line( X, Y ) }.
% 3.42/3.79 { ! orthogonal_lines( X, Y ), ! unorthogonal_lines( X, Y ) }.
% 3.42/3.79 { unorthogonal_lines( X, Y ), orthogonal_lines( X, Y ) }.
% 3.42/3.79 { distinct_points( skol1, skol4 ) }.
% 3.42/3.79 { convergent_lines( skol2, skol3 ) }.
% 3.42/3.79 { distinct_points( skol1, intersection_point( skol2, skol3 ) ) }.
% 3.42/3.79 { ! apart_point_and_line( skol1, skol2 ) }.
% 3.42/3.79 { ! apart_point_and_line( skol1, skol3 ) }.
% 3.42/3.79
% 3.42/3.79 percentage equality = 0.000000, percentage horn = 0.627451
% 5.85/6.26 This a non-horn, non-equality problem
% 5.85/6.26
% 5.85/6.26
% 5.85/6.26 Options Used:
% 5.85/6.26
% 5.85/6.26 useres = 1
% 5.85/6.26 useparamod = 0
% 5.85/6.26 useeqrefl = 0
% 5.85/6.26 useeqfact = 0
% 5.85/6.26 usefactor = 1
% 5.85/6.26 usesimpsplitting = 0
% 5.85/6.26 usesimpdemod = 0
% 5.85/6.26 usesimpres = 3
% 5.85/6.26
% 5.85/6.26 resimpinuse = 1000
% 5.85/6.26 resimpclauses = 20000
% 5.85/6.26 substype = standard
% 5.85/6.26 backwardsubs = 1
% 5.85/6.26 selectoldest = 5
% 5.85/6.26
% 5.85/6.26 litorderings [0] = split
% 5.85/6.26 litorderings [1] = liftord
% 5.85/6.26
% 5.85/6.26 termordering = none
% 5.85/6.26
% 5.85/6.26 litapriori = 1
% 5.85/6.26 termapriori = 0
% 5.85/6.26 litaposteriori = 0
% 5.85/6.26 termaposteriori = 0
% 5.85/6.26 demodaposteriori = 0
% 5.85/6.26 ordereqreflfact = 0
% 5.85/6.26
% 5.85/6.26 litselect = none
% 5.85/6.26
% 5.85/6.26 maxweight = 15
% 5.85/6.26 maxdepth = 30000
% 5.85/6.26 maxlength = 115
% 5.85/6.26 maxnrvars = 195
% 5.85/6.26 excuselevel = 1
% 5.85/6.26 increasemaxweight = 1
% 5.85/6.26
% 5.85/6.26 maxselected = 10000000
% 5.85/6.26 maxnrclauses = 10000000
% 5.85/6.26
% 5.85/6.26 showgenerated = 0
% 5.85/6.26 showkept = 0
% 5.85/6.26 showselected = 0
% 5.85/6.26 showdeleted = 0
% 5.85/6.26 showresimp = 1
% 5.85/6.26 showstatus = 2000
% 5.85/6.26
% 5.85/6.26 prologoutput = 0
% 5.85/6.26 nrgoals = 5000000
% 5.85/6.26 totalproof = 1
% 5.85/6.26
% 5.85/6.26 Symbols occurring in the translation:
% 5.85/6.26
% 5.85/6.26 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.85/6.26 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 5.85/6.26 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 5.85/6.26 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.85/6.26 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.85/6.26 distinct_points [36, 2] (w:1, o:52, a:1, s:1, b:0),
% 5.85/6.26 distinct_lines [37, 2] (w:1, o:53, a:1, s:1, b:0),
% 5.85/6.26 convergent_lines [38, 2] (w:1, o:51, a:1, s:1, b:0),
% 5.85/6.26 line_connecting [41, 2] (w:1, o:54, a:1, s:1, b:0),
% 5.85/6.26 apart_point_and_line [42, 2] (w:1, o:55, a:1, s:1, b:0),
% 5.85/6.26 intersection_point [43, 2] (w:1, o:56, a:1, s:1, b:0),
% 5.85/6.26 parallel_through_point [46, 2] (w:1, o:59, a:1, s:1, b:0),
% 5.85/6.26 unorthogonal_lines [49, 2] (w:1, o:60, a:1, s:1, b:0),
% 5.85/6.26 orthogonal_through_point [52, 2] (w:1, o:57, a:1, s:1, b:0),
% 5.85/6.26 point [54, 1] (w:1, o:25, a:1, s:1, b:0),
% 5.85/6.26 line [55, 1] (w:1, o:26, a:1, s:1, b:0),
% 5.85/6.26 equal_points [56, 2] (w:1, o:61, a:1, s:1, b:0),
% 5.85/6.26 equal_lines [57, 2] (w:1, o:62, a:1, s:1, b:0),
% 5.85/6.26 parallel_lines [58, 2] (w:1, o:63, a:1, s:1, b:0),
% 5.85/6.26 incident_point_and_line [59, 2] (w:1, o:64, a:1, s:1, b:0),
% 5.85/6.26 orthogonal_lines [60, 2] (w:1, o:58, a:1, s:1, b:0),
% 5.85/6.26 alpha1 [61, 2] (w:1, o:65, a:1, s:1, b:0),
% 5.85/6.26 alpha2 [62, 2] (w:1, o:66, a:1, s:1, b:0),
% 5.85/6.26 skol1 [63, 0] (w:1, o:16, a:1, s:1, b:0),
% 5.85/6.26 skol2 [64, 0] (w:1, o:17, a:1, s:1, b:0),
% 5.85/6.26 skol3 [65, 0] (w:1, o:18, a:1, s:1, b:0),
% 5.85/6.26 skol4 [66, 0] (w:1, o:19, a:1, s:1, b:0).
% 5.85/6.26
% 5.85/6.26
% 5.85/6.26 Starting Search:
% 5.85/6.26
% 5.85/6.26 *** allocated 15000 integers for clauses
% 5.85/6.26 *** allocated 22500 integers for clauses
% 5.85/6.26 *** allocated 33750 integers for clauses
% 5.85/6.26 *** allocated 15000 integers for termspace/termends
% 5.85/6.26 *** allocated 50625 integers for clauses
% 5.85/6.26 Resimplifying inuse:
% 5.85/6.26 Done
% 5.85/6.26
% 5.85/6.26 *** allocated 22500 integers for termspace/termends
% 5.85/6.26 *** allocated 75937 integers for clauses
% 5.85/6.26 *** allocated 33750 integers for termspace/termends
% 5.85/6.26 *** allocated 113905 integers for clauses
% 5.85/6.26
% 5.85/6.26 Intermediate Status:
% 5.85/6.26 Generated: 15059
% 5.85/6.26 Kept: 2004
% 5.85/6.26 Inuse: 332
% 5.85/6.26 Deleted: 2
% 5.85/6.26 Deletedinuse: 2
% 5.85/6.26
% 5.85/6.26 Resimplifying inuse:
% 5.85/6.26 Done
% 5.85/6.26
% 5.85/6.26 *** allocated 50625 integers for termspace/termends
% 5.85/6.26 *** allocated 170857 integers for clauses
% 5.85/6.26 Resimplifying inuse:
% 5.85/6.26 Done
% 5.85/6.26
% 5.85/6.26 *** allocated 75937 integers for termspace/termends
% 5.85/6.26
% 5.85/6.26 Intermediate Status:
% 5.85/6.26 Generated: 37700
% 5.85/6.26 Kept: 4004
% 5.85/6.26 Inuse: 482
% 5.85/6.26 Deleted: 3
% 5.85/6.26 Deletedinuse: 2
% 5.85/6.26
% 5.85/6.26 Resimplifying inuse:
% 5.85/6.26 Done
% 5.85/6.26
% 5.85/6.26 *** allocated 256285 integers for clauses
% 5.85/6.26 Resimplifying inuse:
% 5.85/6.26 Done
% 5.85/6.26
% 5.85/6.26 *** allocated 113905 integers for termspace/termends
% 5.85/6.26
% 5.85/6.26 Intermediate Status:
% 5.85/6.26 Generated: 45949
% 5.85/6.26 Kept: 6070
% 5.85/6.26 Inuse: 559
% 5.85/6.26 Deleted: 6
% 5.85/6.26 Deletedinuse: 3
% 5.85/6.26
% 5.85/6.26 *** allocated 384427 integers for clauses
% 5.85/6.26 Resimplifying inuse:
% 5.85/6.26 Done
% 5.85/6.26
% 5.85/6.26 Resimplifying inuse:
% 5.85/6.26 Done
% 5.85/6.26
% 5.85/6.26 *** allocated 170857 integers for termspace/termends
% 5.85/6.26
% 5.85/6.26 Intermediate Status:
% 5.85/6.26 Generated: 75595
% 5.85/6.26 Kept: 8075
% 5.85/6.26 Inuse: 761
% 5.85/6.26 Deleted: 6
% 5.85/6.26 Deletedinuse: 3
% 5.85/6.26
% 5.85/6.26 Resimplifying inuse:
% 5.85/6.26 Done
% 5.85/6.26
% 5.85/6.26 *** allocated 576640 integers for clauses
% 5.85/6.26 Resimplifying inuse:
% 5.85/6.26 Done
% 5.85/6.26
% 5.85/6.26
% 5.85/6.26 Intermediate Status:
% 5.85/6.26 Generated: 360399
% 5.85/6.26 Kept: 10078
% 5.85/6.26 Inuse: 1544
% 5.85/6.26 Deleted: 23
% 5.85/6.26 Deletedinuse: 3
% 5.85/6.26
% 5.85/6.26 Resimplifying inuse:
% 5.85/6.26 Done
% 5.85/6.26
% 5.85/6.26
% 5.85/6.26 Bliksems!, er is een bewijs:
% 5.85/6.26 % SZS status Theorem
% 5.85/6.26 % SZS output start Refutation
% 5.85/6.26
% 5.85/6.26 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 5.85/6.26 (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 5.85/6.26 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 5.85/6.26 , ! distinct_lines( X, Y ) }.
% 5.85/6.26 (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 5.85/6.26 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 5.85/6.26 (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 5.85/6.26 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 5.85/6.26 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 5.85/6.26 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 5.85/6.26 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 5.85/6.26 (13) {G0,W9,D2,L3,V3,M1} I { ! convergent_lines( X, Y ), convergent_lines(
% 5.85/6.26 X, Z ), distinct_lines( Y, Z ) }.
% 5.85/6.26 (14) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), ! distinct_lines( X
% 5.85/6.26 , Y ) }.
% 5.85/6.26 (47) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol2, skol3 ) }.
% 5.85/6.26 (48) {G0,W5,D3,L1,V0,M1} I { distinct_points( skol1, intersection_point(
% 5.85/6.26 skol2, skol3 ) ) }.
% 5.85/6.26 (49) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1, skol2 ) }.
% 5.85/6.26 (50) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1, skol3 ) }.
% 5.85/6.26 (57) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 5.85/6.26 ( X, Y ) }.
% 5.85/6.26 (59) {G2,W9,D2,L3,V3,M3} R(57,4) { distinct_lines( Z, X ), ! distinct_lines
% 5.85/6.26 ( Y, Z ), distinct_lines( X, Y ) }.
% 5.85/6.26 (79) {G1,W22,D3,L6,V4,M3} R(10,9) { ! distinct_points( X,
% 5.85/6.26 intersection_point( Y, Z ) ), ! distinct_lines( Z, T ), !
% 5.85/6.26 convergent_lines( Y, Z ), apart_point_and_line( X, Z ),
% 5.85/6.26 apart_point_and_line( X, T ), apart_point_and_line( intersection_point( Y
% 5.85/6.26 , Z ), T ) }.
% 5.85/6.26 (129) {G2,W6,D2,L2,V2,M1} R(14,57) { convergent_lines( X, Y ), !
% 5.85/6.26 distinct_lines( Y, X ) }.
% 5.85/6.26 (513) {G3,W9,D2,L3,V3,M2} R(59,129) { convergent_lines( Z, Y ), !
% 5.85/6.26 distinct_lines( X, Y ), distinct_lines( Z, X ) }.
% 5.85/6.26 (538) {G4,W12,D2,L4,V4,M1} R(513,13) { convergent_lines( X, Y ), !
% 5.85/6.26 convergent_lines( T, Z ), convergent_lines( T, Y ), distinct_lines( X, Z
% 5.85/6.26 ) }.
% 5.85/6.26 (544) {G5,W9,D2,L3,V3,M1} F(538) { convergent_lines( X, Y ), !
% 5.85/6.26 convergent_lines( X, Z ), distinct_lines( X, Z ) }.
% 5.85/6.26 (549) {G6,W9,D2,L3,V3,M1} R(544,57) { convergent_lines( X, Y ), !
% 5.85/6.26 convergent_lines( X, Z ), distinct_lines( Z, X ) }.
% 5.85/6.26 (586) {G7,W12,D2,L4,V4,M1} R(549,513) { convergent_lines( X, Y ), !
% 5.85/6.26 convergent_lines( X, Z ), convergent_lines( T, X ), distinct_lines( T, Z
% 5.85/6.26 ) }.
% 5.85/6.26 (587) {G8,W6,D2,L2,V2,M1} F(586);r(2) { ! convergent_lines( X, Y ),
% 5.85/6.26 distinct_lines( X, Y ) }.
% 5.85/6.26 (593) {G9,W6,D2,L2,V2,M1} R(587,57) { ! convergent_lines( X, Y ),
% 5.85/6.26 distinct_lines( Y, X ) }.
% 5.85/6.26 (939) {G10,W14,D3,L4,V3,M2} R(79,8);f;r(593) { ! convergent_lines( Y, Z ),
% 5.85/6.26 ! distinct_points( X, intersection_point( Y, Z ) ), apart_point_and_line
% 5.85/6.26 ( X, Y ), apart_point_and_line( X, Z ) }.
% 5.85/6.26 (10439) {G11,W11,D3,L3,V1,M1} R(939,49) { ! convergent_lines( skol2, X ), !
% 5.85/6.26 distinct_points( skol1, intersection_point( skol2, X ) ),
% 5.85/6.26 apart_point_and_line( skol1, X ) }.
% 5.85/6.26 (10475) {G12,W5,D3,L1,V0,M1} R(10439,50);r(47) { ! distinct_points( skol1,
% 5.85/6.26 intersection_point( skol2, skol3 ) ) }.
% 5.85/6.26 (10476) {G13,W0,D0,L0,V0,M0} S(10475);r(48) { }.
% 5.85/6.26
% 5.85/6.26
% 5.85/6.26 % SZS output end Refutation
% 5.85/6.26 found a proof!
% 5.85/6.26
% 5.85/6.26
% 5.85/6.26 Unprocessed initial clauses:
% 5.85/6.26
% 5.85/6.26 (10478) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 5.85/6.26 (10479) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 5.85/6.26 (10480) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 5.85/6.26 (10481) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points(
% 5.85/6.26 X, Z ), distinct_points( Y, Z ) }.
% 5.85/6.26 (10482) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X
% 5.85/6.26 , Z ), distinct_lines( Y, Z ) }.
% 5.85/6.26 (10483) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 5.85/6.26 ( X, Z ), convergent_lines( Y, Z ) }.
% 5.85/6.26 (10484) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 5.85/6.26 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 5.85/6.26 (10485) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 5.85/6.26 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 5.85/6.26 (10486) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 5.85/6.26 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 5.85/6.26 (10487) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 5.85/6.26 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 5.85/6.26 (10488) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 5.85/6.26 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 5.85/6.26 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 5.85/6.26 (10489) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 5.85/6.26 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 5.85/6.26 (10490) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 5.85/6.26 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 5.85/6.26 (10491) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines(
% 5.85/6.26 Y, Z ), convergent_lines( X, Z ) }.
% 5.85/6.26 (10492) {G0,W6,D2,L2,V2,M2} { ! distinct_lines( X, Y ), convergent_lines(
% 5.85/6.26 X, Y ) }.
% 5.85/6.26 (10493) {G0,W5,D3,L1,V2,M1} { ! convergent_lines( parallel_through_point(
% 5.85/6.26 Y, X ), Y ) }.
% 5.85/6.26 (10494) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 5.85/6.26 parallel_through_point( Y, X ) ) }.
% 5.85/6.26 (10495) {G0,W12,D2,L4,V3,M4} { ! distinct_lines( X, Y ),
% 5.85/6.26 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 5.85/6.26 convergent_lines( X, Y ) }.
% 5.85/6.26 (10496) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), unorthogonal_lines
% 5.85/6.26 ( X, Y ) }.
% 5.85/6.26 (10497) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 5.85/6.26 unorthogonal_lines( X, Y ), alpha1( X, Z ), convergent_lines( Y, Z ) }.
% 5.85/6.26 (10498) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 5.85/6.26 unorthogonal_lines( X, Y ), alpha1( X, Z ), unorthogonal_lines( Y, Z )
% 5.85/6.26 }.
% 5.85/6.26 (10499) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), convergent_lines( X, Y )
% 5.85/6.26 }.
% 5.85/6.26 (10500) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), unorthogonal_lines( X, Y )
% 5.85/6.26 }.
% 5.85/6.26 (10501) {G0,W9,D2,L3,V2,M3} { ! convergent_lines( X, Y ), !
% 5.85/6.26 unorthogonal_lines( X, Y ), alpha1( X, Y ) }.
% 5.85/6.26 (10502) {G0,W5,D3,L1,V2,M1} { ! unorthogonal_lines(
% 5.85/6.26 orthogonal_through_point( Y, X ), Y ) }.
% 5.85/6.26 (10503) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 5.85/6.26 orthogonal_through_point( Y, X ) ) }.
% 5.85/6.26 (10504) {G0,W15,D2,L5,V4,M5} { ! distinct_lines( X, Y ),
% 5.85/6.26 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 5.85/6.26 unorthogonal_lines( X, T ), unorthogonal_lines( Y, T ) }.
% 5.85/6.26 (10505) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), unorthogonal_lines
% 5.85/6.26 ( X, Y ) }.
% 5.85/6.26 (10506) {G0,W12,D2,L4,V3,M4} { alpha2( X, Z ), convergent_lines( Z, Y ), !
% 5.85/6.26 convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ) }.
% 5.85/6.26 (10507) {G0,W12,D2,L4,V3,M4} { alpha2( X, Z ), unorthogonal_lines( Z, Y )
% 5.85/6.26 , ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ) }.
% 5.85/6.26 (10508) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), convergent_lines( Y, X )
% 5.85/6.26 }.
% 5.85/6.26 (10509) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), unorthogonal_lines( Y, X )
% 5.85/6.26 }.
% 5.85/6.26 (10510) {G0,W9,D2,L3,V2,M3} { ! convergent_lines( Y, X ), !
% 5.85/6.26 unorthogonal_lines( Y, X ), alpha2( X, Y ) }.
% 5.85/6.26 (10511) {G0,W9,D2,L3,V3,M3} { unorthogonal_lines( Z, X ),
% 5.85/6.26 unorthogonal_lines( Z, Y ), ! convergent_lines( X, Y ) }.
% 5.85/6.26 (10512) {G0,W11,D3,L4,V2,M4} { ! point( X ), ! point( Y ), !
% 5.85/6.26 distinct_points( X, Y ), line( line_connecting( X, Y ) ) }.
% 5.85/6.26 (10513) {G0,W11,D3,L4,V2,M4} { ! line( X ), ! line( Y ), !
% 5.85/6.26 convergent_lines( X, Y ), point( intersection_point( X, Y ) ) }.
% 5.85/6.26 (10514) {G0,W8,D3,L3,V2,M3} { ! line( X ), ! point( Y ), line(
% 5.85/6.26 parallel_through_point( X, Y ) ) }.
% 5.85/6.26 (10515) {G0,W8,D3,L3,V2,M3} { ! line( X ), ! point( Y ), line(
% 5.85/6.26 orthogonal_through_point( X, Y ) ) }.
% 5.85/6.26 (10516) {G0,W6,D2,L2,V2,M2} { ! equal_points( X, Y ), ! distinct_points( X
% 5.85/6.26 , Y ) }.
% 5.85/6.26 (10517) {G0,W6,D2,L2,V2,M2} { distinct_points( X, Y ), equal_points( X, Y
% 5.85/6.26 ) }.
% 5.85/6.26 (10518) {G0,W6,D2,L2,V2,M2} { ! equal_lines( X, Y ), ! distinct_lines( X,
% 5.85/6.26 Y ) }.
% 5.85/6.26 (10519) {G0,W6,D2,L2,V2,M2} { distinct_lines( X, Y ), equal_lines( X, Y )
% 5.85/6.26 }.
% 5.85/6.26 (10520) {G0,W6,D2,L2,V2,M2} { ! parallel_lines( X, Y ), ! convergent_lines
% 5.85/6.26 ( X, Y ) }.
% 5.85/6.26 (10521) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), parallel_lines( X
% 5.85/6.26 , Y ) }.
% 5.85/6.26 (10522) {G0,W6,D2,L2,V2,M2} { ! incident_point_and_line( X, Y ), !
% 5.85/6.26 apart_point_and_line( X, Y ) }.
% 5.85/6.26 (10523) {G0,W6,D2,L2,V2,M2} { apart_point_and_line( X, Y ),
% 5.85/6.26 incident_point_and_line( X, Y ) }.
% 5.85/6.26 (10524) {G0,W6,D2,L2,V2,M2} { ! orthogonal_lines( X, Y ), !
% 5.85/6.26 unorthogonal_lines( X, Y ) }.
% 5.85/6.26 (10525) {G0,W6,D2,L2,V2,M2} { unorthogonal_lines( X, Y ), orthogonal_lines
% 5.85/6.26 ( X, Y ) }.
% 5.85/6.26 (10526) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol4 ) }.
% 5.85/6.26 (10527) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol2, skol3 ) }.
% 5.85/6.26 (10528) {G0,W5,D3,L1,V0,M1} { distinct_points( skol1, intersection_point(
% 5.85/6.26 skol2, skol3 ) ) }.
% 5.85/6.26 (10529) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol1, skol2 ) }.
% 5.85/6.26 (10530) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol1, skol3 ) }.
% 5.85/6.26
% 5.85/6.26
% 5.85/6.26 Total Proof:
% 5.85/6.26
% 5.85/6.26 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 5.85/6.26 parent0: (10479) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := X
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 0 ==> 0
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 5.85/6.26 parent0: (10480) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := X
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 0 ==> 0
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 5.85/6.26 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 5.85/6.26 parent0: (10482) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 5.85/6.26 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Y
% 5.85/6.26 Z := Z
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 0 ==> 2
% 5.85/6.26 1 ==> 0
% 5.85/6.26 2 ==> 1
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 subsumption: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 5.85/6.26 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 5.85/6.26 parent0: (10486) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 5.85/6.26 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Y
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 0 ==> 0
% 5.85/6.26 1 ==> 1
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 subsumption: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 5.85/6.26 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 5.85/6.26 parent0: (10487) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 5.85/6.26 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Y
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 0 ==> 0
% 5.85/6.26 1 ==> 1
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 5.85/6.26 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 5.85/6.26 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 5.85/6.26 apart_point_and_line( X, Z ) }.
% 5.85/6.26 parent0: (10488) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 5.85/6.26 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 5.85/6.26 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 5.85/6.26 apart_point_and_line( Y, T ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Y
% 5.85/6.26 Z := Z
% 5.85/6.26 T := T
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 0 ==> 0
% 5.85/6.26 1 ==> 1
% 5.85/6.26 2 ==> 5
% 5.85/6.26 3 ==> 2
% 5.85/6.26 4 ==> 3
% 5.85/6.26 5 ==> 4
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 subsumption: (13) {G0,W9,D2,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 5.85/6.26 convergent_lines( X, Z ), distinct_lines( Y, Z ) }.
% 5.85/6.26 parent0: (10491) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 5.85/6.26 distinct_lines( Y, Z ), convergent_lines( X, Z ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Y
% 5.85/6.26 Z := Z
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 0 ==> 0
% 5.85/6.26 1 ==> 2
% 5.85/6.26 2 ==> 1
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 subsumption: (14) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), !
% 5.85/6.26 distinct_lines( X, Y ) }.
% 5.85/6.26 parent0: (10492) {G0,W6,D2,L2,V2,M2} { ! distinct_lines( X, Y ),
% 5.85/6.26 convergent_lines( X, Y ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Y
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 0 ==> 1
% 5.85/6.26 1 ==> 0
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 subsumption: (47) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol2, skol3 )
% 5.85/6.26 }.
% 5.85/6.26 parent0: (10527) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol2, skol3 )
% 5.85/6.26 }.
% 5.85/6.26 substitution0:
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 0 ==> 0
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 subsumption: (48) {G0,W5,D3,L1,V0,M1} I { distinct_points( skol1,
% 5.85/6.26 intersection_point( skol2, skol3 ) ) }.
% 5.85/6.26 parent0: (10528) {G0,W5,D3,L1,V0,M1} { distinct_points( skol1,
% 5.85/6.26 intersection_point( skol2, skol3 ) ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 0 ==> 0
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 subsumption: (49) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 5.85/6.26 skol2 ) }.
% 5.85/6.26 parent0: (10529) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol1,
% 5.85/6.26 skol2 ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 0 ==> 0
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 subsumption: (50) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 5.85/6.26 skol3 ) }.
% 5.85/6.26 parent0: (10530) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol1,
% 5.85/6.26 skol3 ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 0 ==> 0
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 resolution: (10626) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 5.85/6.26 distinct_lines( X, Y ) }.
% 5.85/6.26 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 5.85/6.26 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 5.85/6.26 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := X
% 5.85/6.26 end
% 5.85/6.26 substitution1:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Y
% 5.85/6.26 Z := X
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 subsumption: (57) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 5.85/6.26 distinct_lines( X, Y ) }.
% 5.85/6.26 parent0: (10626) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 5.85/6.26 distinct_lines( X, Y ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := Y
% 5.85/6.26 Y := X
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 0 ==> 1
% 5.85/6.26 1 ==> 0
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 resolution: (10628) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ),
% 5.85/6.26 distinct_lines( Z, Y ), ! distinct_lines( X, Z ) }.
% 5.85/6.26 parent0[0]: (57) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 5.85/6.26 distinct_lines( X, Y ) }.
% 5.85/6.26 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 5.85/6.26 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := Y
% 5.85/6.26 Y := X
% 5.85/6.26 end
% 5.85/6.26 substitution1:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Z
% 5.85/6.26 Z := Y
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 subsumption: (59) {G2,W9,D2,L3,V3,M3} R(57,4) { distinct_lines( Z, X ), !
% 5.85/6.26 distinct_lines( Y, Z ), distinct_lines( X, Y ) }.
% 5.85/6.26 parent0: (10628) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ),
% 5.85/6.26 distinct_lines( Z, Y ), ! distinct_lines( X, Z ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := Y
% 5.85/6.26 Y := X
% 5.85/6.26 Z := Z
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 0 ==> 2
% 5.85/6.26 1 ==> 0
% 5.85/6.26 2 ==> 1
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 resolution: (10632) {G1,W22,D3,L6,V4,M6} { ! convergent_lines( X, Y ), !
% 5.85/6.26 distinct_points( Z, intersection_point( X, Y ) ), ! distinct_lines( Y, T
% 5.85/6.26 ), apart_point_and_line( Z, T ), apart_point_and_line(
% 5.85/6.26 intersection_point( X, Y ), T ), apart_point_and_line( Z, Y ) }.
% 5.85/6.26 parent0[1]: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 5.85/6.26 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 5.85/6.26 parent1[3]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 5.85/6.26 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 5.85/6.26 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 5.85/6.26 apart_point_and_line( X, Z ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Y
% 5.85/6.26 end
% 5.85/6.26 substitution1:
% 5.85/6.26 X := Z
% 5.85/6.26 Y := intersection_point( X, Y )
% 5.85/6.26 Z := Y
% 5.85/6.26 T := T
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 subsumption: (79) {G1,W22,D3,L6,V4,M3} R(10,9) { ! distinct_points( X,
% 5.85/6.26 intersection_point( Y, Z ) ), ! distinct_lines( Z, T ), !
% 5.85/6.26 convergent_lines( Y, Z ), apart_point_and_line( X, Z ),
% 5.85/6.26 apart_point_and_line( X, T ), apart_point_and_line( intersection_point( Y
% 5.85/6.26 , Z ), T ) }.
% 5.85/6.26 parent0: (10632) {G1,W22,D3,L6,V4,M6} { ! convergent_lines( X, Y ), !
% 5.85/6.26 distinct_points( Z, intersection_point( X, Y ) ), ! distinct_lines( Y, T
% 5.85/6.26 ), apart_point_and_line( Z, T ), apart_point_and_line(
% 5.85/6.26 intersection_point( X, Y ), T ), apart_point_and_line( Z, Y ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := Y
% 5.85/6.26 Y := Z
% 5.85/6.26 Z := X
% 5.85/6.26 T := T
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 0 ==> 2
% 5.85/6.26 1 ==> 0
% 5.85/6.26 2 ==> 1
% 5.85/6.26 3 ==> 4
% 5.85/6.26 4 ==> 5
% 5.85/6.26 5 ==> 3
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 resolution: (10640) {G1,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), !
% 5.85/6.26 distinct_lines( Y, X ) }.
% 5.85/6.26 parent0[1]: (14) {G0,W6,D2,L2,V2,M1} I { convergent_lines( X, Y ), !
% 5.85/6.26 distinct_lines( X, Y ) }.
% 5.85/6.26 parent1[1]: (57) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 5.85/6.26 distinct_lines( X, Y ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Y
% 5.85/6.26 end
% 5.85/6.26 substitution1:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Y
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 subsumption: (129) {G2,W6,D2,L2,V2,M1} R(14,57) { convergent_lines( X, Y )
% 5.85/6.26 , ! distinct_lines( Y, X ) }.
% 5.85/6.26 parent0: (10640) {G1,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), !
% 5.85/6.26 distinct_lines( Y, X ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Y
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 0 ==> 0
% 5.85/6.26 1 ==> 1
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 resolution: (10641) {G3,W9,D2,L3,V3,M3} { convergent_lines( X, Y ), !
% 5.85/6.26 distinct_lines( Z, Y ), distinct_lines( X, Z ) }.
% 5.85/6.26 parent0[1]: (129) {G2,W6,D2,L2,V2,M1} R(14,57) { convergent_lines( X, Y ),
% 5.85/6.26 ! distinct_lines( Y, X ) }.
% 5.85/6.26 parent1[0]: (59) {G2,W9,D2,L3,V3,M3} R(57,4) { distinct_lines( Z, X ), !
% 5.85/6.26 distinct_lines( Y, Z ), distinct_lines( X, Y ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Y
% 5.85/6.26 end
% 5.85/6.26 substitution1:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Z
% 5.85/6.26 Z := Y
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 subsumption: (513) {G3,W9,D2,L3,V3,M2} R(59,129) { convergent_lines( Z, Y )
% 5.85/6.26 , ! distinct_lines( X, Y ), distinct_lines( Z, X ) }.
% 5.85/6.26 parent0: (10641) {G3,W9,D2,L3,V3,M3} { convergent_lines( X, Y ), !
% 5.85/6.26 distinct_lines( Z, Y ), distinct_lines( X, Z ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := Z
% 5.85/6.26 Y := Y
% 5.85/6.26 Z := X
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 0 ==> 0
% 5.85/6.26 1 ==> 1
% 5.85/6.26 2 ==> 2
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 resolution: (10643) {G1,W12,D2,L4,V4,M4} { convergent_lines( X, Y ),
% 5.85/6.26 distinct_lines( X, Z ), ! convergent_lines( T, Z ), convergent_lines( T,
% 5.85/6.26 Y ) }.
% 5.85/6.26 parent0[1]: (513) {G3,W9,D2,L3,V3,M2} R(59,129) { convergent_lines( Z, Y )
% 5.85/6.26 , ! distinct_lines( X, Y ), distinct_lines( Z, X ) }.
% 5.85/6.26 parent1[2]: (13) {G0,W9,D2,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 5.85/6.26 convergent_lines( X, Z ), distinct_lines( Y, Z ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := Z
% 5.85/6.26 Y := Y
% 5.85/6.26 Z := X
% 5.85/6.26 end
% 5.85/6.26 substitution1:
% 5.85/6.26 X := T
% 5.85/6.26 Y := Z
% 5.85/6.26 Z := Y
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 subsumption: (538) {G4,W12,D2,L4,V4,M1} R(513,13) { convergent_lines( X, Y
% 5.85/6.26 ), ! convergent_lines( T, Z ), convergent_lines( T, Y ), distinct_lines
% 5.85/6.26 ( X, Z ) }.
% 5.85/6.26 parent0: (10643) {G1,W12,D2,L4,V4,M4} { convergent_lines( X, Y ),
% 5.85/6.26 distinct_lines( X, Z ), ! convergent_lines( T, Z ), convergent_lines( T,
% 5.85/6.26 Y ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Y
% 5.85/6.26 Z := Z
% 5.85/6.26 T := T
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 0 ==> 0
% 5.85/6.26 1 ==> 3
% 5.85/6.26 2 ==> 1
% 5.85/6.26 3 ==> 2
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 factor: (10645) {G4,W9,D2,L3,V3,M3} { convergent_lines( X, Y ), !
% 5.85/6.26 convergent_lines( X, Z ), distinct_lines( X, Z ) }.
% 5.85/6.26 parent0[0, 2]: (538) {G4,W12,D2,L4,V4,M1} R(513,13) { convergent_lines( X,
% 5.85/6.26 Y ), ! convergent_lines( T, Z ), convergent_lines( T, Y ), distinct_lines
% 5.85/6.26 ( X, Z ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Y
% 5.85/6.26 Z := Z
% 5.85/6.26 T := X
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 subsumption: (544) {G5,W9,D2,L3,V3,M1} F(538) { convergent_lines( X, Y ), !
% 5.85/6.26 convergent_lines( X, Z ), distinct_lines( X, Z ) }.
% 5.85/6.26 parent0: (10645) {G4,W9,D2,L3,V3,M3} { convergent_lines( X, Y ), !
% 5.85/6.26 convergent_lines( X, Z ), distinct_lines( X, Z ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Y
% 5.85/6.26 Z := Z
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 0 ==> 0
% 5.85/6.26 1 ==> 1
% 5.85/6.26 2 ==> 2
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 resolution: (10646) {G2,W9,D2,L3,V3,M3} { distinct_lines( Y, X ),
% 5.85/6.26 convergent_lines( X, Z ), ! convergent_lines( X, Y ) }.
% 5.85/6.26 parent0[0]: (57) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 5.85/6.26 distinct_lines( X, Y ) }.
% 5.85/6.26 parent1[2]: (544) {G5,W9,D2,L3,V3,M1} F(538) { convergent_lines( X, Y ), !
% 5.85/6.26 convergent_lines( X, Z ), distinct_lines( X, Z ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := Y
% 5.85/6.26 Y := X
% 5.85/6.26 end
% 5.85/6.26 substitution1:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Z
% 5.85/6.26 Z := Y
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 subsumption: (549) {G6,W9,D2,L3,V3,M1} R(544,57) { convergent_lines( X, Y )
% 5.85/6.26 , ! convergent_lines( X, Z ), distinct_lines( Z, X ) }.
% 5.85/6.26 parent0: (10646) {G2,W9,D2,L3,V3,M3} { distinct_lines( Y, X ),
% 5.85/6.26 convergent_lines( X, Z ), ! convergent_lines( X, Y ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Z
% 5.85/6.26 Z := Y
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 0 ==> 2
% 5.85/6.26 1 ==> 0
% 5.85/6.26 2 ==> 1
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 resolution: (10649) {G4,W12,D2,L4,V4,M4} { convergent_lines( X, Y ),
% 5.85/6.26 distinct_lines( X, Z ), convergent_lines( Y, T ), ! convergent_lines( Y,
% 5.85/6.26 Z ) }.
% 5.85/6.26 parent0[1]: (513) {G3,W9,D2,L3,V3,M2} R(59,129) { convergent_lines( Z, Y )
% 5.85/6.26 , ! distinct_lines( X, Y ), distinct_lines( Z, X ) }.
% 5.85/6.26 parent1[2]: (549) {G6,W9,D2,L3,V3,M1} R(544,57) { convergent_lines( X, Y )
% 5.85/6.26 , ! convergent_lines( X, Z ), distinct_lines( Z, X ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := Z
% 5.85/6.26 Y := Y
% 5.85/6.26 Z := X
% 5.85/6.26 end
% 5.85/6.26 substitution1:
% 5.85/6.26 X := Y
% 5.85/6.26 Y := T
% 5.85/6.26 Z := Z
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 subsumption: (586) {G7,W12,D2,L4,V4,M1} R(549,513) { convergent_lines( X, Y
% 5.85/6.26 ), ! convergent_lines( X, Z ), convergent_lines( T, X ), distinct_lines
% 5.85/6.26 ( T, Z ) }.
% 5.85/6.26 parent0: (10649) {G4,W12,D2,L4,V4,M4} { convergent_lines( X, Y ),
% 5.85/6.26 distinct_lines( X, Z ), convergent_lines( Y, T ), ! convergent_lines( Y,
% 5.85/6.26 Z ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := T
% 5.85/6.26 Y := X
% 5.85/6.26 Z := Z
% 5.85/6.26 T := Y
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 0 ==> 2
% 5.85/6.26 1 ==> 3
% 5.85/6.26 2 ==> 0
% 5.85/6.26 3 ==> 1
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 factor: (10651) {G7,W9,D2,L3,V2,M3} { convergent_lines( X, X ), !
% 5.85/6.26 convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 5.85/6.26 parent0[0, 2]: (586) {G7,W12,D2,L4,V4,M1} R(549,513) { convergent_lines( X
% 5.85/6.26 , Y ), ! convergent_lines( X, Z ), convergent_lines( T, X ),
% 5.85/6.26 distinct_lines( T, Z ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := X
% 5.85/6.26 Y := X
% 5.85/6.26 Z := Y
% 5.85/6.26 T := X
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 resolution: (10652) {G1,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 5.85/6.26 distinct_lines( X, Y ) }.
% 5.85/6.26 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 5.85/6.26 parent1[0]: (10651) {G7,W9,D2,L3,V2,M3} { convergent_lines( X, X ), !
% 5.85/6.26 convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := X
% 5.85/6.26 end
% 5.85/6.26 substitution1:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Y
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 subsumption: (587) {G8,W6,D2,L2,V2,M1} F(586);r(2) { ! convergent_lines( X
% 5.85/6.26 , Y ), distinct_lines( X, Y ) }.
% 5.85/6.26 parent0: (10652) {G1,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 5.85/6.26 distinct_lines( X, Y ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Y
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 0 ==> 0
% 5.85/6.26 1 ==> 1
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 resolution: (10653) {G2,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 5.85/6.26 convergent_lines( X, Y ) }.
% 5.85/6.26 parent0[0]: (57) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 5.85/6.26 distinct_lines( X, Y ) }.
% 5.85/6.26 parent1[1]: (587) {G8,W6,D2,L2,V2,M1} F(586);r(2) { ! convergent_lines( X,
% 5.85/6.26 Y ), distinct_lines( X, Y ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := Y
% 5.85/6.26 Y := X
% 5.85/6.26 end
% 5.85/6.26 substitution1:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Y
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 subsumption: (593) {G9,W6,D2,L2,V2,M1} R(587,57) { ! convergent_lines( X, Y
% 5.85/6.26 ), distinct_lines( Y, X ) }.
% 5.85/6.26 parent0: (10653) {G2,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 5.85/6.26 convergent_lines( X, Y ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Y
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 0 ==> 1
% 5.85/6.26 1 ==> 0
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 resolution: (10656) {G1,W20,D3,L6,V3,M6} { ! convergent_lines( X, Y ), !
% 5.85/6.26 distinct_points( Z, intersection_point( X, Y ) ), ! distinct_lines( Y, X
% 5.85/6.26 ), ! convergent_lines( X, Y ), apart_point_and_line( Z, Y ),
% 5.85/6.26 apart_point_and_line( Z, X ) }.
% 5.85/6.26 parent0[1]: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 5.85/6.26 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 5.85/6.26 parent1[5]: (79) {G1,W22,D3,L6,V4,M3} R(10,9) { ! distinct_points( X,
% 5.85/6.26 intersection_point( Y, Z ) ), ! distinct_lines( Z, T ), !
% 5.85/6.26 convergent_lines( Y, Z ), apart_point_and_line( X, Z ),
% 5.85/6.26 apart_point_and_line( X, T ), apart_point_and_line( intersection_point( Y
% 5.85/6.26 , Z ), T ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Y
% 5.85/6.26 end
% 5.85/6.26 substitution1:
% 5.85/6.26 X := Z
% 5.85/6.26 Y := X
% 5.85/6.26 Z := Y
% 5.85/6.26 T := X
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 resolution: (10662) {G2,W20,D3,L6,V3,M6} { ! convergent_lines( X, Y ), !
% 5.85/6.26 distinct_points( Z, intersection_point( X, Y ) ), ! convergent_lines( X,
% 5.85/6.26 Y ), apart_point_and_line( Z, Y ), apart_point_and_line( Z, X ), !
% 5.85/6.26 convergent_lines( X, Y ) }.
% 5.85/6.26 parent0[2]: (10656) {G1,W20,D3,L6,V3,M6} { ! convergent_lines( X, Y ), !
% 5.85/6.26 distinct_points( Z, intersection_point( X, Y ) ), ! distinct_lines( Y, X
% 5.85/6.26 ), ! convergent_lines( X, Y ), apart_point_and_line( Z, Y ),
% 5.85/6.26 apart_point_and_line( Z, X ) }.
% 5.85/6.26 parent1[1]: (593) {G9,W6,D2,L2,V2,M1} R(587,57) { ! convergent_lines( X, Y
% 5.85/6.26 ), distinct_lines( Y, X ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Y
% 5.85/6.26 Z := Z
% 5.85/6.26 end
% 5.85/6.26 substitution1:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Y
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 factor: (10663) {G2,W17,D3,L5,V3,M5} { ! convergent_lines( X, Y ), !
% 5.85/6.26 distinct_points( Z, intersection_point( X, Y ) ), apart_point_and_line( Z
% 5.85/6.26 , Y ), apart_point_and_line( Z, X ), ! convergent_lines( X, Y ) }.
% 5.85/6.26 parent0[0, 2]: (10662) {G2,W20,D3,L6,V3,M6} { ! convergent_lines( X, Y ),
% 5.85/6.26 ! distinct_points( Z, intersection_point( X, Y ) ), ! convergent_lines( X
% 5.85/6.26 , Y ), apart_point_and_line( Z, Y ), apart_point_and_line( Z, X ), !
% 5.85/6.26 convergent_lines( X, Y ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Y
% 5.85/6.26 Z := Z
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 factor: (10664) {G2,W14,D3,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 5.85/6.26 distinct_points( Z, intersection_point( X, Y ) ), apart_point_and_line( Z
% 5.85/6.26 , Y ), apart_point_and_line( Z, X ) }.
% 5.85/6.26 parent0[0, 4]: (10663) {G2,W17,D3,L5,V3,M5} { ! convergent_lines( X, Y ),
% 5.85/6.26 ! distinct_points( Z, intersection_point( X, Y ) ), apart_point_and_line
% 5.85/6.26 ( Z, Y ), apart_point_and_line( Z, X ), ! convergent_lines( X, Y ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := X
% 5.85/6.26 Y := Y
% 5.85/6.26 Z := Z
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 subsumption: (939) {G10,W14,D3,L4,V3,M2} R(79,8);f;r(593) { !
% 5.85/6.26 convergent_lines( Y, Z ), ! distinct_points( X, intersection_point( Y, Z
% 5.85/6.26 ) ), apart_point_and_line( X, Y ), apart_point_and_line( X, Z ) }.
% 5.85/6.26 parent0: (10664) {G2,W14,D3,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 5.85/6.26 distinct_points( Z, intersection_point( X, Y ) ), apart_point_and_line( Z
% 5.85/6.26 , Y ), apart_point_and_line( Z, X ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := Y
% 5.85/6.26 Y := Z
% 5.85/6.26 Z := X
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 0 ==> 0
% 5.85/6.26 1 ==> 1
% 5.85/6.26 2 ==> 3
% 5.85/6.26 3 ==> 2
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 resolution: (10666) {G1,W11,D3,L3,V1,M3} { ! convergent_lines( skol2, X )
% 5.85/6.26 , ! distinct_points( skol1, intersection_point( skol2, X ) ),
% 5.85/6.26 apart_point_and_line( skol1, X ) }.
% 5.85/6.26 parent0[0]: (49) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 5.85/6.26 skol2 ) }.
% 5.85/6.26 parent1[2]: (939) {G10,W14,D3,L4,V3,M2} R(79,8);f;r(593) { !
% 5.85/6.26 convergent_lines( Y, Z ), ! distinct_points( X, intersection_point( Y, Z
% 5.85/6.26 ) ), apart_point_and_line( X, Y ), apart_point_and_line( X, Z ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 end
% 5.85/6.26 substitution1:
% 5.85/6.26 X := skol1
% 5.85/6.26 Y := skol2
% 5.85/6.26 Z := X
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 subsumption: (10439) {G11,W11,D3,L3,V1,M1} R(939,49) { ! convergent_lines(
% 5.85/6.26 skol2, X ), ! distinct_points( skol1, intersection_point( skol2, X ) ),
% 5.85/6.26 apart_point_and_line( skol1, X ) }.
% 5.85/6.26 parent0: (10666) {G1,W11,D3,L3,V1,M3} { ! convergent_lines( skol2, X ), !
% 5.85/6.26 distinct_points( skol1, intersection_point( skol2, X ) ),
% 5.85/6.26 apart_point_and_line( skol1, X ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 X := X
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 0 ==> 0
% 5.85/6.26 1 ==> 1
% 5.85/6.26 2 ==> 2
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 resolution: (10668) {G1,W8,D3,L2,V0,M2} { ! convergent_lines( skol2, skol3
% 5.85/6.26 ), ! distinct_points( skol1, intersection_point( skol2, skol3 ) ) }.
% 5.85/6.26 parent0[0]: (50) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 5.85/6.26 skol3 ) }.
% 5.85/6.26 parent1[2]: (10439) {G11,W11,D3,L3,V1,M1} R(939,49) { ! convergent_lines(
% 5.85/6.26 skol2, X ), ! distinct_points( skol1, intersection_point( skol2, X ) ),
% 5.85/6.26 apart_point_and_line( skol1, X ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 end
% 5.85/6.26 substitution1:
% 5.85/6.26 X := skol3
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 resolution: (10669) {G1,W5,D3,L1,V0,M1} { ! distinct_points( skol1,
% 5.85/6.26 intersection_point( skol2, skol3 ) ) }.
% 5.85/6.26 parent0[0]: (10668) {G1,W8,D3,L2,V0,M2} { ! convergent_lines( skol2, skol3
% 5.85/6.26 ), ! distinct_points( skol1, intersection_point( skol2, skol3 ) ) }.
% 5.85/6.26 parent1[0]: (47) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol2, skol3 )
% 5.85/6.26 }.
% 5.85/6.26 substitution0:
% 5.85/6.26 end
% 5.85/6.26 substitution1:
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 subsumption: (10475) {G12,W5,D3,L1,V0,M1} R(10439,50);r(47) { !
% 5.85/6.26 distinct_points( skol1, intersection_point( skol2, skol3 ) ) }.
% 5.85/6.26 parent0: (10669) {G1,W5,D3,L1,V0,M1} { ! distinct_points( skol1,
% 5.85/6.26 intersection_point( skol2, skol3 ) ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 0 ==> 0
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 resolution: (10670) {G1,W0,D0,L0,V0,M0} { }.
% 5.85/6.26 parent0[0]: (10475) {G12,W5,D3,L1,V0,M1} R(10439,50);r(47) { !
% 5.85/6.26 distinct_points( skol1, intersection_point( skol2, skol3 ) ) }.
% 5.85/6.26 parent1[0]: (48) {G0,W5,D3,L1,V0,M1} I { distinct_points( skol1,
% 5.85/6.26 intersection_point( skol2, skol3 ) ) }.
% 5.85/6.26 substitution0:
% 5.85/6.26 end
% 5.85/6.26 substitution1:
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 subsumption: (10476) {G13,W0,D0,L0,V0,M0} S(10475);r(48) { }.
% 5.85/6.26 parent0: (10670) {G1,W0,D0,L0,V0,M0} { }.
% 5.85/6.26 substitution0:
% 5.85/6.26 end
% 5.85/6.26 permutation0:
% 5.85/6.26 end
% 5.85/6.26
% 5.85/6.26 Proof check complete!
% 5.85/6.26
% 5.85/6.26 Memory use:
% 5.85/6.26
% 5.85/6.26 space for terms: 151995
% 5.85/6.26 space for clauses: 476907
% 5.85/6.26
% 5.85/6.26
% 5.85/6.26 clauses generated: 869201
% 5.85/6.26 clauses kept: 10477
% 5.85/6.26 clauses selected: 2178
% 5.85/6.26 clauses deleted: 33
% 5.85/6.26 clauses inuse deleted: 3
% 5.85/6.26
% 5.85/6.26 subsentry: 9487497
% 5.85/6.26 literals s-matched: 3722514
% 5.85/6.26 literals matched: 3721991
% 5.85/6.26 full subsumption: 2550604
% 5.85/6.26
% 5.85/6.26 checksum: -719364312
% 5.85/6.26
% 5.85/6.26
% 5.85/6.26 Bliksem ended
%------------------------------------------------------------------------------