TSTP Solution File: GEO258+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO258+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 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 02:53:21 EDT 2022
% Result : Theorem 0.72s 1.18s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO258+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.11/0.12 % 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 07:08:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.41/1.09 *** allocated 10000 integers for termspace/termends
% 0.41/1.09 *** allocated 10000 integers for clauses
% 0.41/1.09 *** allocated 10000 integers for justifications
% 0.41/1.09 Bliksem 1.12
% 0.41/1.09
% 0.41/1.09
% 0.41/1.09 Automatic Strategy Selection
% 0.41/1.09
% 0.41/1.09
% 0.41/1.09 Clauses:
% 0.41/1.09
% 0.41/1.09 { ! apart_point_and_line( X, Y ), left_apart_point( X, Y ),
% 0.41/1.09 left_apart_point( X, reverse_line( Y ) ) }.
% 0.41/1.09 { ! left_apart_point( X, Y ), apart_point_and_line( X, Y ) }.
% 0.41/1.09 { ! left_apart_point( X, reverse_line( Y ) ), apart_point_and_line( X, Y )
% 0.41/1.09 }.
% 0.41/1.09 { ! convergent_lines( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.41/1.09 { ! convergent_lines( X, Y ), unequally_directed_lines( X, reverse_line( Y
% 0.41/1.09 ) ) }.
% 0.41/1.09 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.41/1.09 reverse_line( Y ) ), convergent_lines( X, Y ) }.
% 0.41/1.09 { ! divides_points( Z, X, Y ), alpha1( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.41/1.09 { ! alpha1( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.41/1.09 { ! alpha4( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.41/1.09 { ! alpha4( X, Y, Z ), left_apart_point( X, reverse_line( Z ) ) }.
% 0.41/1.09 { ! alpha4( X, Y, Z ), left_apart_point( Y, Z ) }.
% 0.41/1.09 { ! left_apart_point( X, reverse_line( Z ) ), ! left_apart_point( Y, Z ),
% 0.41/1.09 alpha4( X, Y, Z ) }.
% 0.41/1.09 { ! alpha1( X, Y, Z ), left_apart_point( X, Z ) }.
% 0.41/1.09 { ! alpha1( X, Y, Z ), left_apart_point( Y, reverse_line( Z ) ) }.
% 0.41/1.09 { ! left_apart_point( X, Z ), ! left_apart_point( Y, reverse_line( Z ) ),
% 0.41/1.09 alpha1( X, Y, Z ) }.
% 0.41/1.09 { ! before_on_line( X, Y, Z ), distinct_points( Y, Z ) }.
% 0.41/1.09 { ! before_on_line( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.41/1.09 { ! distinct_points( Y, Z ), ! alpha7( X, Y, Z ), before_on_line( X, Y, Z )
% 0.41/1.09 }.
% 0.41/1.09 { ! alpha7( X, Y, Z ), alpha2( X, Y ) }.
% 0.41/1.09 { ! alpha7( X, Y, Z ), alpha8( X, Y, Z ) }.
% 0.41/1.09 { ! alpha2( X, Y ), ! alpha8( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.41/1.09 { ! alpha8( X, Y, Z ), alpha5( X, Z ) }.
% 0.41/1.09 { ! alpha8( X, Y, Z ), ! unequally_directed_lines( X, line_connecting( Y, Z
% 0.41/1.09 ) ) }.
% 0.41/1.09 { ! alpha5( X, Z ), unequally_directed_lines( X, line_connecting( Y, Z ) )
% 0.41/1.09 , alpha8( X, Y, Z ) }.
% 0.41/1.09 { ! alpha5( X, Y ), ! left_apart_point( Y, X ) }.
% 0.41/1.09 { ! alpha5( X, Y ), ! left_apart_point( Y, reverse_line( X ) ) }.
% 0.41/1.09 { left_apart_point( Y, X ), left_apart_point( Y, reverse_line( X ) ),
% 0.41/1.09 alpha5( X, Y ) }.
% 0.41/1.09 { ! alpha2( X, Y ), ! left_apart_point( Y, X ) }.
% 0.41/1.09 { ! alpha2( X, Y ), ! left_apart_point( Y, reverse_line( X ) ) }.
% 0.41/1.09 { left_apart_point( Y, X ), left_apart_point( Y, reverse_line( X ) ),
% 0.41/1.09 alpha2( X, Y ) }.
% 0.41/1.09 { ! between_on_line( X, Y, Z, T ), alpha3( X, Y, Z, T ), alpha6( X, Y, Z, T
% 0.41/1.09 ) }.
% 0.41/1.09 { ! alpha3( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.41/1.09 { ! alpha6( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.41/1.09 { ! alpha6( X, Y, Z, T ), before_on_line( X, T, Z ) }.
% 0.41/1.09 { ! alpha6( X, Y, Z, T ), before_on_line( X, Z, Y ) }.
% 0.41/1.09 { ! before_on_line( X, T, Z ), ! before_on_line( X, Z, Y ), alpha6( X, Y, Z
% 0.41/1.09 , T ) }.
% 0.41/1.09 { ! alpha3( X, Y, Z, T ), before_on_line( X, Y, Z ) }.
% 0.41/1.09 { ! alpha3( X, Y, Z, T ), before_on_line( X, Z, T ) }.
% 0.41/1.09 { ! before_on_line( X, Y, Z ), ! before_on_line( X, Z, T ), alpha3( X, Y, Z
% 0.41/1.09 , T ) }.
% 0.41/1.09 { ! distinct_points( X, X ) }.
% 0.41/1.09 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.41/1.09 ) }.
% 0.41/1.09 { ! distinct_lines( X, X ) }.
% 0.41/1.09 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.41/1.09 }.
% 0.41/1.09 { ! unequally_directed_lines( X, X ) }.
% 0.41/1.09 { ! unequally_directed_lines( X, Y ), unequally_directed_lines( X, Z ),
% 0.41/1.09 unequally_directed_lines( Y, Z ) }.
% 0.41/1.09 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.41/1.09 reverse_line( Y ) ), alpha9( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.41/1.09 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.41/1.09 reverse_line( Y ) ), alpha9( X, Z ), unequally_directed_lines( Y,
% 0.41/1.09 reverse_line( Z ) ) }.
% 0.41/1.09 { ! alpha9( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.41/1.09 { ! alpha9( X, Y ), unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.41/1.09 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.41/1.09 reverse_line( Y ) ), alpha9( X, Y ) }.
% 0.41/1.09 { ! line( X ), ! line( Y ), unequally_directed_lines( X, Y ),
% 0.41/1.09 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.41/1.09 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.41/1.09 reverse_line( Y ) ), left_convergent_lines( X, Y ), left_convergent_lines
% 0.41/1.09 ( X, reverse_line( Y ) ) }.
% 0.72/1.18 { ! left_apart_point( X, Y ) }.
% 0.72/1.18 { ! left_apart_point( X, reverse_line( Y ) ) }.
% 0.72/1.18 { ! left_convergent_lines( X, Y ) }.
% 0.72/1.18 { ! left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.72/1.18 { ! point( X ), ! point( Y ), ! distinct_points( X, Y ), line(
% 0.72/1.18 line_connecting( X, Y ) ) }.
% 0.72/1.18 { ! line( X ), ! line( Y ), ! unequally_directed_lines( X, Y ), !
% 0.72/1.18 unequally_directed_lines( X, reverse_line( Y ) ), point(
% 0.72/1.18 intersection_point( X, Y ) ) }.
% 0.72/1.18 { ! point( Y ), ! line( X ), line( parallel_through_point( X, Y ) ) }.
% 0.72/1.18 { ! line( X ), line( reverse_line( X ) ) }.
% 0.72/1.18 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 0.72/1.18 , Y ) ) }.
% 0.72/1.18 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 0.72/1.18 , Y ) ) }.
% 0.72/1.18 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.72/1.18 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 0.72/1.18 X ) }.
% 0.72/1.18 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.72/1.18 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 0.72/1.18 Y ) }.
% 0.72/1.18 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 0.72/1.18 { ! distinct_lines( X, reverse_line( X ) ) }.
% 0.72/1.18 { ! unequally_directed_lines( line_connecting( X, Y ), reverse_line(
% 0.72/1.18 line_connecting( Y, X ) ) ) }.
% 0.72/1.18 { ! unequally_directed_lines( parallel_through_point( Y, X ), Y ) }.
% 0.72/1.18 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), left_apart_point( X
% 0.72/1.18 , Z ), left_apart_point( Y, Z ), left_apart_point( X, T ),
% 0.72/1.18 left_apart_point( Y, T ), left_apart_point( X, reverse_line( Z ) ),
% 0.72/1.18 left_apart_point( Y, reverse_line( Z ) ), left_apart_point( X,
% 0.72/1.18 reverse_line( T ) ), left_apart_point( Y, reverse_line( T ) ) }.
% 0.72/1.18 { ! distinct_points( X, Y ), ! left_apart_point( X, Z ), left_apart_point(
% 0.72/1.18 Y, Z ), left_convergent_lines( line_connecting( X, Y ), Z ) }.
% 0.72/1.18 { ! left_apart_point( X, Y ), distinct_points( X, Z ), left_apart_point( Z
% 0.72/1.18 , Y ) }.
% 0.72/1.18 { ! left_apart_point( X, Y ), ! unequally_directed_lines( Y, Z ),
% 0.72/1.18 distinct_lines( Y, Z ), left_apart_point( X, reverse_line( Z ) ) }.
% 0.72/1.18 { ! left_convergent_lines( X, Y ), unequally_directed_lines( Y, Z ),
% 0.72/1.18 left_convergent_lines( X, Z ) }.
% 0.72/1.18 { between_on_line( skol1, skol2, skol3, skol4 ) }.
% 0.72/1.18 { ! between_on_line( skol1, skol4, skol3, skol2 ) }.
% 0.72/1.18
% 0.72/1.18 percentage equality = 0.000000, percentage horn = 0.797101
% 0.72/1.18 This a non-horn, non-equality problem
% 0.72/1.18
% 0.72/1.18
% 0.72/1.18 Options Used:
% 0.72/1.18
% 0.72/1.18 useres = 1
% 0.72/1.18 useparamod = 0
% 0.72/1.18 useeqrefl = 0
% 0.72/1.18 useeqfact = 0
% 0.72/1.18 usefactor = 1
% 0.72/1.18 usesimpsplitting = 0
% 0.72/1.18 usesimpdemod = 0
% 0.72/1.18 usesimpres = 3
% 0.72/1.18
% 0.72/1.18 resimpinuse = 1000
% 0.72/1.18 resimpclauses = 20000
% 0.72/1.18 substype = standard
% 0.72/1.18 backwardsubs = 1
% 0.72/1.18 selectoldest = 5
% 0.72/1.18
% 0.72/1.18 litorderings [0] = split
% 0.72/1.18 litorderings [1] = liftord
% 0.72/1.18
% 0.72/1.18 termordering = none
% 0.72/1.18
% 0.72/1.18 litapriori = 1
% 0.72/1.18 termapriori = 0
% 0.72/1.18 litaposteriori = 0
% 0.72/1.18 termaposteriori = 0
% 0.72/1.18 demodaposteriori = 0
% 0.72/1.18 ordereqreflfact = 0
% 0.72/1.18
% 0.72/1.18 litselect = none
% 0.72/1.18
% 0.72/1.18 maxweight = 15
% 0.72/1.18 maxdepth = 30000
% 0.72/1.18 maxlength = 115
% 0.72/1.18 maxnrvars = 195
% 0.72/1.18 excuselevel = 1
% 0.72/1.18 increasemaxweight = 1
% 0.72/1.18
% 0.72/1.18 maxselected = 10000000
% 0.72/1.18 maxnrclauses = 10000000
% 0.72/1.18
% 0.72/1.18 showgenerated = 0
% 0.72/1.18 showkept = 0
% 0.72/1.18 showselected = 0
% 0.72/1.18 showdeleted = 0
% 0.72/1.18 showresimp = 1
% 0.72/1.18 showstatus = 2000
% 0.72/1.18
% 0.72/1.18 prologoutput = 0
% 0.72/1.18 nrgoals = 5000000
% 0.72/1.18 totalproof = 1
% 0.72/1.18
% 0.72/1.18 Symbols occurring in the translation:
% 0.72/1.18
% 0.72/1.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.18 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.72/1.18 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.72/1.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.18 apart_point_and_line [37, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.72/1.18 left_apart_point [38, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.72/1.18 reverse_line [39, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.72/1.18 convergent_lines [41, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.72/1.18 unequally_directed_lines [42, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.72/1.18 divides_points [44, 3] (w:1, o:61, a:1, s:1, b:0),
% 0.72/1.18 before_on_line [45, 3] (w:1, o:66, a:1, s:1, b:0),
% 0.72/1.18 distinct_points [46, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.72/1.18 line_connecting [47, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.72/1.18 between_on_line [49, 4] (w:1, o:69, a:1, s:1, b:0),
% 0.72/1.18 distinct_lines [50, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.72/1.18 line [52, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.72/1.18 left_convergent_lines [53, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.72/1.18 point [54, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.72/1.18 intersection_point [55, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.72/1.18 parallel_through_point [56, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.72/1.18 alpha1 [57, 3] (w:1, o:62, a:1, s:1, b:0),
% 0.72/1.18 alpha2 [58, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.72/1.18 alpha3 [59, 4] (w:1, o:67, a:1, s:1, b:0),
% 0.72/1.18 alpha4 [60, 3] (w:1, o:63, a:1, s:1, b:0),
% 0.72/1.18 alpha5 [61, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.72/1.18 alpha6 [62, 4] (w:1, o:68, a:1, s:1, b:0),
% 0.72/1.18 alpha7 [63, 3] (w:1, o:64, a:1, s:1, b:0),
% 0.72/1.18 alpha8 [64, 3] (w:1, o:65, a:1, s:1, b:0),
% 0.72/1.18 alpha9 [65, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.72/1.18 skol1 [66, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.72/1.18 skol2 [67, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.72/1.18 skol3 [68, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.72/1.18 skol4 [69, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.72/1.18
% 0.72/1.18
% 0.72/1.18 Starting Search:
% 0.72/1.18
% 0.72/1.18 *** allocated 15000 integers for clauses
% 0.72/1.18 *** allocated 22500 integers for clauses
% 0.72/1.18 *** allocated 33750 integers for clauses
% 0.72/1.18 *** allocated 50625 integers for clauses
% 0.72/1.18 *** allocated 15000 integers for termspace/termends
% 0.72/1.18 Resimplifying inuse:
% 0.72/1.18 Done
% 0.72/1.18
% 0.72/1.18
% 0.72/1.18 Bliksems!, er is een bewijs:
% 0.72/1.18 % SZS status Theorem
% 0.72/1.18 % SZS output start Refutation
% 0.72/1.18
% 0.72/1.18 (15) {G0,W7,D2,L2,V3,M1} I { distinct_points( Y, Z ), ! before_on_line( X,
% 0.72/1.18 Y, Z ) }.
% 0.72/1.18 (17) {G0,W11,D2,L3,V3,M1} I { ! distinct_points( Y, Z ), ! alpha7( X, Y, Z
% 0.72/1.18 ), before_on_line( X, Y, Z ) }.
% 0.72/1.18 (20) {G0,W11,D2,L3,V3,M1} I { ! alpha2( X, Y ), alpha7( X, Y, Z ), ! alpha8
% 0.72/1.18 ( X, Y, Z ) }.
% 0.72/1.18 (23) {G0,W12,D3,L3,V3,M1} I { unequally_directed_lines( X, line_connecting
% 0.72/1.18 ( Y, Z ) ), ! alpha5( X, Z ), alpha8( X, Y, Z ) }.
% 0.72/1.18 (26) {G0,W10,D3,L3,V2,M1} I { left_apart_point( Y, X ), left_apart_point( Y
% 0.72/1.18 , reverse_line( X ) ), alpha5( X, Y ) }.
% 0.72/1.18 (29) {G0,W10,D3,L3,V2,M1} I { left_apart_point( Y, X ), left_apart_point( Y
% 0.72/1.18 , reverse_line( X ) ), alpha2( X, Y ) }.
% 0.72/1.18 (30) {G0,W15,D2,L3,V4,M1} I { alpha3( X, Y, Z, T ), alpha6( X, Y, Z, T ), !
% 0.72/1.18 between_on_line( X, Y, Z, T ) }.
% 0.72/1.18 (31) {G0,W10,D2,L2,V4,M1} I { ! alpha3( X, Y, Z, T ), between_on_line( X, Y
% 0.72/1.18 , Z, T ) }.
% 0.72/1.18 (32) {G0,W10,D2,L2,V4,M1} I { ! alpha6( X, Y, Z, T ), between_on_line( X, Y
% 0.72/1.18 , Z, T ) }.
% 0.72/1.18 (33) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, T, Z ), ! alpha6( X, Y, Z,
% 0.72/1.18 T ) }.
% 0.72/1.18 (34) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, Z, Y ), ! alpha6( X, Y, Z,
% 0.72/1.18 T ) }.
% 0.72/1.18 (35) {G0,W13,D2,L3,V4,M1} I { ! before_on_line( X, T, Z ), ! before_on_line
% 0.72/1.18 ( X, Z, Y ), alpha6( X, Y, Z, T ) }.
% 0.72/1.18 (36) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, Y, Z ), ! alpha3( X, Y, Z,
% 0.72/1.18 T ) }.
% 0.72/1.18 (37) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, Z, T ), ! alpha3( X, Y, Z,
% 0.72/1.18 T ) }.
% 0.72/1.18 (38) {G0,W13,D2,L3,V4,M1} I { ! before_on_line( X, Y, Z ), ! before_on_line
% 0.72/1.18 ( X, Z, T ), alpha3( X, Y, Z, T ) }.
% 0.72/1.18 (39) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 0.72/1.18 (40) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 0.72/1.18 ), ! distinct_points( X, Y ) }.
% 0.72/1.18 (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X ) }.
% 0.72/1.18 (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.72/1.18 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.72/1.18 (51) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y ), !
% 0.72/1.18 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 0.72/1.18 X, reverse_line( Y ) ), left_convergent_lines( X, Y ) }.
% 0.72/1.18 (52) {G0,W3,D2,L1,V2,M1} I { ! left_apart_point( X, Y ) }.
% 0.72/1.18 (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y ) }.
% 0.72/1.18 (64) {G0,W8,D4,L1,V2,M1} I { ! unequally_directed_lines( line_connecting( X
% 0.72/1.18 , Y ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.72/1.18 (65) {G0,W5,D3,L1,V2,M1} I { ! unequally_directed_lines(
% 0.72/1.18 parallel_through_point( Y, X ), Y ) }.
% 0.72/1.18 (67) {G0,W5,D2,L1,V0,M1} I { between_on_line( skol1, skol2, skol3, skol4 )
% 0.72/1.18 }.
% 0.72/1.18 (68) {G0,W5,D2,L1,V0,M1} I { ! between_on_line( skol1, skol4, skol3, skol2
% 0.72/1.18 ) }.
% 0.72/1.18 (107) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines( Y, X ),
% 0.72/1.18 unequally_directed_lines( X, Y ) }.
% 0.72/1.18 (118) {G2,W5,D3,L1,V2,M1} R(107,65) { ! unequally_directed_lines( X,
% 0.72/1.18 parallel_through_point( X, Y ) ) }.
% 0.72/1.18 (119) {G3,W8,D3,L2,V3,M2} R(118,44) { ! unequally_directed_lines( Y, X ),
% 0.72/1.18 unequally_directed_lines( X, parallel_through_point( Y, Z ) ) }.
% 0.72/1.18 (148) {G1,W15,D3,L4,V3,M1} R(23,20) { unequally_directed_lines( X,
% 0.72/1.18 line_connecting( Y, Z ) ), ! alpha2( X, Y ), ! alpha5( X, Z ), alpha7( X
% 0.72/1.18 , Y, Z ) }.
% 0.72/1.18 (157) {G1,W3,D2,L1,V2,M1} S(26);r(52);r(52) { alpha5( X, Y ) }.
% 0.72/1.18 (180) {G1,W3,D2,L1,V2,M1} S(29);r(52);r(52) { alpha2( X, Y ) }.
% 0.72/1.18 (189) {G1,W10,D2,L2,V0,M1} R(30,67) { alpha3( skol1, skol2, skol3, skol4 )
% 0.72/1.18 , alpha6( skol1, skol2, skol3, skol4 ) }.
% 0.72/1.18 (217) {G1,W5,D2,L1,V0,M1} R(31,68) { ! alpha3( skol1, skol4, skol3, skol2 )
% 0.72/1.18 }.
% 0.72/1.18 (247) {G1,W5,D2,L1,V0,M1} R(32,68) { ! alpha6( skol1, skol4, skol3, skol2 )
% 0.72/1.18 }.
% 0.72/1.18 (266) {G2,W8,D2,L2,V0,M1} R(35,247) { ! before_on_line( skol1, skol2, skol3
% 0.72/1.18 ), ! before_on_line( skol1, skol3, skol4 ) }.
% 0.72/1.18 (278) {G2,W8,D2,L2,V0,M1} R(38,217) { ! before_on_line( skol1, skol3, skol2
% 0.72/1.18 ), ! before_on_line( skol1, skol4, skol3 ) }.
% 0.72/1.18 (289) {G1,W6,D2,L2,V2,M2} R(40,39) { ! distinct_points( Y, X ),
% 0.72/1.18 distinct_points( X, Y ) }.
% 0.72/1.18 (411) {G1,W7,D3,L2,V2,M2} S(51);r(53);r(53) { ! unequally_directed_lines( X
% 0.72/1.18 , reverse_line( Y ) ), ! unequally_directed_lines( X, Y ) }.
% 0.72/1.18 (443) {G2,W7,D3,L2,V2,M2} R(411,107) { ! unequally_directed_lines( Y, X ),
% 0.72/1.18 ! unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.72/1.18 (493) {G3,W10,D3,L3,V3,M3} R(443,44) { unequally_directed_lines( Z,
% 0.72/1.18 reverse_line( X ) ), ! unequally_directed_lines( Z, Y ), !
% 0.72/1.18 unequally_directed_lines( X, Y ) }.
% 0.72/1.18 (494) {G4,W7,D3,L2,V2,M2} F(493) { ! unequally_directed_lines( X, Y ),
% 0.72/1.18 unequally_directed_lines( X, reverse_line( X ) ) }.
% 0.72/1.18 (514) {G5,W5,D3,L1,V2,M1} R(494,64) { ! unequally_directed_lines(
% 0.72/1.18 line_connecting( X, X ), Y ) }.
% 0.72/1.18 (519) {G6,W5,D3,L1,V2,M1} R(514,119) { ! unequally_directed_lines( X,
% 0.72/1.18 line_connecting( Y, Y ) ) }.
% 0.72/1.18 (520) {G7,W3,D2,L1,V2,M1} R(519,44);r(519) { ! unequally_directed_lines( Z
% 0.72/1.18 , X ) }.
% 0.72/1.18 (853) {G2,W9,D2,L2,V0,M1} R(189,33) { before_on_line( skol1, skol4, skol3 )
% 0.72/1.18 , alpha3( skol1, skol2, skol3, skol4 ) }.
% 0.72/1.18 (854) {G2,W9,D2,L2,V0,M1} R(189,34) { before_on_line( skol1, skol3, skol2 )
% 0.72/1.18 , alpha3( skol1, skol2, skol3, skol4 ) }.
% 0.72/1.18 (855) {G3,W8,D2,L2,V0,M1} R(853,36) { before_on_line( skol1, skol2, skol3 )
% 0.72/1.18 , before_on_line( skol1, skol4, skol3 ) }.
% 0.72/1.18 (856) {G3,W8,D2,L2,V0,M1} R(853,37) { before_on_line( skol1, skol4, skol3 )
% 0.72/1.18 , before_on_line( skol1, skol3, skol4 ) }.
% 0.72/1.18 (906) {G8,W4,D2,L1,V3,M1} S(148);r(520);r(180);r(157) { alpha7( X, Y, Z )
% 0.72/1.18 }.
% 0.72/1.18 (922) {G4,W4,D2,L1,V0,M1} R(856,266);r(855) { before_on_line( skol1, skol4
% 0.72/1.18 , skol3 ) }.
% 0.72/1.18 (923) {G5,W4,D2,L1,V0,M1} R(922,278) { ! before_on_line( skol1, skol3,
% 0.72/1.18 skol2 ) }.
% 0.72/1.18 (924) {G5,W3,D2,L1,V0,M1} R(922,15) { distinct_points( skol4, skol3 ) }.
% 0.72/1.18 (929) {G6,W3,D2,L1,V0,M1} R(924,289) { distinct_points( skol3, skol4 ) }.
% 0.72/1.18 (1002) {G9,W7,D2,L2,V3,M1} S(17);r(906) { ! distinct_points( Y, Z ),
% 0.72/1.18 before_on_line( X, Y, Z ) }.
% 0.72/1.18 (1004) {G10,W4,D2,L1,V0,M1} R(1002,266);r(929) { ! before_on_line( skol1,
% 0.72/1.18 skol2, skol3 ) }.
% 0.72/1.18 (1038) {G6,W5,D2,L1,V0,M1} S(854);r(923) { alpha3( skol1, skol2, skol3,
% 0.72/1.18 skol4 ) }.
% 0.72/1.18 (1039) {G11,W0,D0,L0,V0,M0} R(1038,36);r(1004) { }.
% 0.72/1.18
% 0.72/1.18
% 0.72/1.18 % SZS output end Refutation
% 0.72/1.18 found a proof!
% 0.72/1.18
% 0.72/1.18
% 0.72/1.18 Unprocessed initial clauses:
% 0.72/1.18
% 0.72/1.18 (1041) {G0,W10,D3,L3,V2,M3} { ! apart_point_and_line( X, Y ),
% 0.72/1.18 left_apart_point( X, Y ), left_apart_point( X, reverse_line( Y ) ) }.
% 0.72/1.18 (1042) {G0,W6,D2,L2,V2,M2} { ! left_apart_point( X, Y ),
% 0.72/1.18 apart_point_and_line( X, Y ) }.
% 0.72/1.18 (1043) {G0,W7,D3,L2,V2,M2} { ! left_apart_point( X, reverse_line( Y ) ),
% 0.72/1.18 apart_point_and_line( X, Y ) }.
% 0.72/1.18 (1044) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.72/1.18 unequally_directed_lines( X, Y ) }.
% 0.72/1.18 (1045) {G0,W7,D3,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.72/1.18 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.72/1.18 (1046) {G0,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.72/1.18 unequally_directed_lines( X, reverse_line( Y ) ), convergent_lines( X, Y
% 0.72/1.18 ) }.
% 0.72/1.18 (1047) {G0,W12,D2,L3,V3,M3} { ! divides_points( Z, X, Y ), alpha1( X, Y, Z
% 0.72/1.18 ), alpha4( X, Y, Z ) }.
% 0.72/1.18 (1048) {G0,W8,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), divides_points( Z, X, Y
% 0.72/1.18 ) }.
% 0.72/1.18 (1049) {G0,W8,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), divides_points( Z, X, Y
% 0.72/1.18 ) }.
% 0.72/1.18 (1050) {G0,W8,D3,L2,V3,M2} { ! alpha4( X, Y, Z ), left_apart_point( X,
% 0.72/1.18 reverse_line( Z ) ) }.
% 0.72/1.18 (1051) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), left_apart_point( Y, Z )
% 0.72/1.18 }.
% 0.72/1.18 (1052) {G0,W11,D3,L3,V3,M3} { ! left_apart_point( X, reverse_line( Z ) ),
% 0.72/1.18 ! left_apart_point( Y, Z ), alpha4( X, Y, Z ) }.
% 0.72/1.18 (1053) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), left_apart_point( X, Z )
% 0.72/1.18 }.
% 0.72/1.18 (1054) {G0,W8,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), left_apart_point( Y,
% 0.72/1.18 reverse_line( Z ) ) }.
% 0.72/1.18 (1055) {G0,W11,D3,L3,V3,M3} { ! left_apart_point( X, Z ), !
% 0.72/1.18 left_apart_point( Y, reverse_line( Z ) ), alpha1( X, Y, Z ) }.
% 0.72/1.18 (1056) {G0,W7,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), distinct_points
% 0.72/1.18 ( Y, Z ) }.
% 0.72/1.18 (1057) {G0,W8,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), alpha7( X, Y, Z
% 0.72/1.18 ) }.
% 0.72/1.18 (1058) {G0,W11,D2,L3,V3,M3} { ! distinct_points( Y, Z ), ! alpha7( X, Y, Z
% 0.72/1.18 ), before_on_line( X, Y, Z ) }.
% 0.72/1.18 (1059) {G0,W7,D2,L2,V3,M2} { ! alpha7( X, Y, Z ), alpha2( X, Y ) }.
% 0.72/1.18 (1060) {G0,W8,D2,L2,V3,M2} { ! alpha7( X, Y, Z ), alpha8( X, Y, Z ) }.
% 0.72/1.18 (1061) {G0,W11,D2,L3,V3,M3} { ! alpha2( X, Y ), ! alpha8( X, Y, Z ),
% 0.72/1.18 alpha7( X, Y, Z ) }.
% 0.72/1.18 (1062) {G0,W7,D2,L2,V3,M2} { ! alpha8( X, Y, Z ), alpha5( X, Z ) }.
% 0.72/1.18 (1063) {G0,W9,D3,L2,V3,M2} { ! alpha8( X, Y, Z ), !
% 0.72/1.18 unequally_directed_lines( X, line_connecting( Y, Z ) ) }.
% 0.72/1.18 (1064) {G0,W12,D3,L3,V3,M3} { ! alpha5( X, Z ), unequally_directed_lines(
% 0.72/1.18 X, line_connecting( Y, Z ) ), alpha8( X, Y, Z ) }.
% 0.72/1.18 (1065) {G0,W6,D2,L2,V2,M2} { ! alpha5( X, Y ), ! left_apart_point( Y, X )
% 0.72/1.18 }.
% 0.72/1.18 (1066) {G0,W7,D3,L2,V2,M2} { ! alpha5( X, Y ), ! left_apart_point( Y,
% 0.72/1.18 reverse_line( X ) ) }.
% 0.72/1.18 (1067) {G0,W10,D3,L3,V2,M3} { left_apart_point( Y, X ), left_apart_point(
% 0.72/1.18 Y, reverse_line( X ) ), alpha5( X, Y ) }.
% 0.72/1.18 (1068) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), ! left_apart_point( Y, X )
% 0.72/1.18 }.
% 0.72/1.18 (1069) {G0,W7,D3,L2,V2,M2} { ! alpha2( X, Y ), ! left_apart_point( Y,
% 0.72/1.18 reverse_line( X ) ) }.
% 0.72/1.18 (1070) {G0,W10,D3,L3,V2,M3} { left_apart_point( Y, X ), left_apart_point(
% 0.72/1.18 Y, reverse_line( X ) ), alpha2( X, Y ) }.
% 0.72/1.18 (1071) {G0,W15,D2,L3,V4,M3} { ! between_on_line( X, Y, Z, T ), alpha3( X,
% 0.72/1.18 Y, Z, T ), alpha6( X, Y, Z, T ) }.
% 0.72/1.18 (1072) {G0,W10,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), between_on_line( X,
% 0.72/1.18 Y, Z, T ) }.
% 0.72/1.18 (1073) {G0,W10,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), between_on_line( X,
% 0.72/1.18 Y, Z, T ) }.
% 0.72/1.18 (1074) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, T
% 0.72/1.18 , Z ) }.
% 0.72/1.18 (1075) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, Z
% 0.72/1.18 , Y ) }.
% 0.72/1.18 (1076) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, T, Z ), !
% 0.72/1.18 before_on_line( X, Z, Y ), alpha6( X, Y, Z, T ) }.
% 0.72/1.18 (1077) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Y
% 0.72/1.18 , Z ) }.
% 0.72/1.18 (1078) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Z
% 0.72/1.18 , T ) }.
% 0.72/1.18 (1079) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, Y, Z ), !
% 0.72/1.18 before_on_line( X, Z, T ), alpha3( X, Y, Z, T ) }.
% 0.72/1.18 (1080) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.72/1.18 (1081) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.72/1.18 , Z ), distinct_points( Y, Z ) }.
% 0.72/1.18 (1082) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.72/1.18 (1083) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 0.72/1.18 Z ), distinct_lines( Y, Z ) }.
% 0.72/1.18 (1084) {G0,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, X ) }.
% 0.72/1.18 (1085) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.72/1.18 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.72/1.18 (1086) {G0,W13,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 0.72/1.18 unequally_directed_lines( X, reverse_line( Y ) ), alpha9( X, Z ),
% 0.72/1.18 unequally_directed_lines( Y, Z ) }.
% 0.72/1.18 (1087) {G0,W14,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 0.72/1.18 unequally_directed_lines( X, reverse_line( Y ) ), alpha9( X, Z ),
% 0.72/1.18 unequally_directed_lines( Y, reverse_line( Z ) ) }.
% 0.72/1.18 (1088) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), unequally_directed_lines( X
% 0.72/1.18 , Y ) }.
% 0.72/1.18 (1089) {G0,W7,D3,L2,V2,M2} { ! alpha9( X, Y ), unequally_directed_lines( X
% 0.72/1.18 , reverse_line( Y ) ) }.
% 0.72/1.18 (1090) {G0,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.72/1.18 unequally_directed_lines( X, reverse_line( Y ) ), alpha9( X, Y ) }.
% 0.72/1.18 (1091) {G0,W11,D3,L4,V2,M4} { ! line( X ), ! line( Y ),
% 0.72/1.18 unequally_directed_lines( X, Y ), unequally_directed_lines( X,
% 0.72/1.18 reverse_line( Y ) ) }.
% 0.72/1.18 (1092) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y ), !
% 0.72/1.18 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 0.72/1.18 X, Y ), left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.72/1.18 (1093) {G0,W3,D2,L1,V2,M1} { ! left_apart_point( X, Y ) }.
% 0.72/1.18 (1094) {G0,W4,D3,L1,V2,M1} { ! left_apart_point( X, reverse_line( Y ) )
% 0.72/1.18 }.
% 0.72/1.18 (1095) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 0.72/1.18 (1096) {G0,W4,D3,L1,V2,M1} { ! left_convergent_lines( X, reverse_line( Y )
% 0.72/1.18 ) }.
% 0.72/1.18 (1097) {G0,W11,D3,L4,V2,M4} { ! point( X ), ! point( Y ), !
% 0.72/1.18 distinct_points( X, Y ), line( line_connecting( X, Y ) ) }.
% 0.72/1.18 (1098) {G0,W15,D3,L5,V2,M5} { ! line( X ), ! line( Y ), !
% 0.72/1.18 unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.72/1.18 reverse_line( Y ) ), point( intersection_point( X, Y ) ) }.
% 0.72/1.18 (1099) {G0,W8,D3,L3,V2,M3} { ! point( Y ), ! line( X ), line(
% 0.72/1.18 parallel_through_point( X, Y ) ) }.
% 0.72/1.18 (1100) {G0,W5,D3,L2,V1,M2} { ! line( X ), line( reverse_line( X ) ) }.
% 0.72/1.18 (1101) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.72/1.18 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.72/1.18 (1102) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.72/1.18 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.72/1.18 (1103) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.72/1.18 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 0.72/1.18 ( intersection_point( X, Y ), X ) }.
% 0.72/1.18 (1104) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.72/1.18 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 0.72/1.18 ( intersection_point( X, Y ), Y ) }.
% 0.72/1.18 (1105) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 0.72/1.18 parallel_through_point( Y, X ) ) }.
% 0.72/1.18 (1106) {G0,W4,D3,L1,V1,M1} { ! distinct_lines( X, reverse_line( X ) ) }.
% 0.72/1.18 (1107) {G0,W8,D4,L1,V2,M1} { ! unequally_directed_lines( line_connecting(
% 0.72/1.18 X, Y ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.72/1.18 (1108) {G0,W5,D3,L1,V2,M1} { ! unequally_directed_lines(
% 0.72/1.18 parallel_through_point( Y, X ), Y ) }.
% 0.72/1.18 (1109) {G0,W34,D3,L10,V4,M10} { ! distinct_points( X, Y ), !
% 0.72/1.18 distinct_lines( Z, T ), left_apart_point( X, Z ), left_apart_point( Y, Z
% 0.72/1.18 ), left_apart_point( X, T ), left_apart_point( Y, T ), left_apart_point
% 0.72/1.18 ( X, reverse_line( Z ) ), left_apart_point( Y, reverse_line( Z ) ),
% 0.72/1.18 left_apart_point( X, reverse_line( T ) ), left_apart_point( Y,
% 0.72/1.18 reverse_line( T ) ) }.
% 0.72/1.18 (1110) {G0,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 0.72/1.18 left_apart_point( X, Z ), left_apart_point( Y, Z ), left_convergent_lines
% 0.72/1.18 ( line_connecting( X, Y ), Z ) }.
% 0.72/1.18 (1111) {G0,W9,D2,L3,V3,M3} { ! left_apart_point( X, Y ), distinct_points(
% 0.72/1.18 X, Z ), left_apart_point( Z, Y ) }.
% 0.72/1.18 (1112) {G0,W13,D3,L4,V3,M4} { ! left_apart_point( X, Y ), !
% 0.72/1.18 unequally_directed_lines( Y, Z ), distinct_lines( Y, Z ),
% 0.72/1.18 left_apart_point( X, reverse_line( Z ) ) }.
% 0.72/1.18 (1113) {G0,W9,D2,L3,V3,M3} { ! left_convergent_lines( X, Y ),
% 0.72/1.18 unequally_directed_lines( Y, Z ), left_convergent_lines( X, Z ) }.
% 0.72/1.18 (1114) {G0,W5,D2,L1,V0,M1} { between_on_line( skol1, skol2, skol3, skol4 )
% 0.72/1.18 }.
% 0.72/1.18 (1115) {G0,W5,D2,L1,V0,M1} { ! between_on_line( skol1, skol4, skol3, skol2
% 0.72/1.18 ) }.
% 0.72/1.18
% 0.72/1.18
% 0.72/1.18 Total Proof:
% 0.72/1.18
% 0.72/1.18 subsumption: (15) {G0,W7,D2,L2,V3,M1} I { distinct_points( Y, Z ), !
% 0.72/1.18 before_on_line( X, Y, Z ) }.
% 0.72/1.18 parent0: (1056) {G0,W7,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ),
% 0.72/1.18 distinct_points( Y, Z ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 Z := Z
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 1
% 0.72/1.18 1 ==> 0
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (17) {G0,W11,D2,L3,V3,M1} I { ! distinct_points( Y, Z ), !
% 0.72/1.18 alpha7( X, Y, Z ), before_on_line( X, Y, Z ) }.
% 0.72/1.18 parent0: (1058) {G0,W11,D2,L3,V3,M3} { ! distinct_points( Y, Z ), ! alpha7
% 0.72/1.18 ( X, Y, Z ), before_on_line( X, Y, Z ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 Z := Z
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 0
% 0.72/1.18 1 ==> 1
% 0.72/1.18 2 ==> 2
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (20) {G0,W11,D2,L3,V3,M1} I { ! alpha2( X, Y ), alpha7( X, Y,
% 0.72/1.18 Z ), ! alpha8( X, Y, Z ) }.
% 0.72/1.18 parent0: (1061) {G0,W11,D2,L3,V3,M3} { ! alpha2( X, Y ), ! alpha8( X, Y, Z
% 0.72/1.18 ), alpha7( X, Y, Z ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 Z := Z
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 0
% 0.72/1.18 1 ==> 2
% 0.72/1.18 2 ==> 1
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (23) {G0,W12,D3,L3,V3,M1} I { unequally_directed_lines( X,
% 0.72/1.18 line_connecting( Y, Z ) ), ! alpha5( X, Z ), alpha8( X, Y, Z ) }.
% 0.72/1.18 parent0: (1064) {G0,W12,D3,L3,V3,M3} { ! alpha5( X, Z ),
% 0.72/1.18 unequally_directed_lines( X, line_connecting( Y, Z ) ), alpha8( X, Y, Z )
% 0.72/1.18 }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 Z := Z
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 1
% 0.72/1.18 1 ==> 0
% 0.72/1.18 2 ==> 2
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (26) {G0,W10,D3,L3,V2,M1} I { left_apart_point( Y, X ),
% 0.72/1.18 left_apart_point( Y, reverse_line( X ) ), alpha5( X, Y ) }.
% 0.72/1.18 parent0: (1067) {G0,W10,D3,L3,V2,M3} { left_apart_point( Y, X ),
% 0.72/1.18 left_apart_point( Y, reverse_line( X ) ), alpha5( X, Y ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 0
% 0.72/1.18 1 ==> 1
% 0.72/1.18 2 ==> 2
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (29) {G0,W10,D3,L3,V2,M1} I { left_apart_point( Y, X ),
% 0.72/1.18 left_apart_point( Y, reverse_line( X ) ), alpha2( X, Y ) }.
% 0.72/1.18 parent0: (1070) {G0,W10,D3,L3,V2,M3} { left_apart_point( Y, X ),
% 0.72/1.18 left_apart_point( Y, reverse_line( X ) ), alpha2( X, Y ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 0
% 0.72/1.18 1 ==> 1
% 0.72/1.18 2 ==> 2
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (30) {G0,W15,D2,L3,V4,M1} I { alpha3( X, Y, Z, T ), alpha6( X
% 0.72/1.18 , Y, Z, T ), ! between_on_line( X, Y, Z, T ) }.
% 0.72/1.18 parent0: (1071) {G0,W15,D2,L3,V4,M3} { ! between_on_line( X, Y, Z, T ),
% 0.72/1.18 alpha3( X, Y, Z, T ), alpha6( X, Y, Z, T ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 Z := Z
% 0.72/1.18 T := T
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 2
% 0.72/1.18 1 ==> 0
% 0.72/1.18 2 ==> 1
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (31) {G0,W10,D2,L2,V4,M1} I { ! alpha3( X, Y, Z, T ),
% 0.72/1.18 between_on_line( X, Y, Z, T ) }.
% 0.72/1.18 parent0: (1072) {G0,W10,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ),
% 0.72/1.18 between_on_line( X, Y, Z, T ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 Z := Z
% 0.72/1.18 T := T
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 0
% 0.72/1.18 1 ==> 1
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (32) {G0,W10,D2,L2,V4,M1} I { ! alpha6( X, Y, Z, T ),
% 0.72/1.18 between_on_line( X, Y, Z, T ) }.
% 0.72/1.18 parent0: (1073) {G0,W10,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ),
% 0.72/1.18 between_on_line( X, Y, Z, T ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 Z := Z
% 0.72/1.18 T := T
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 0
% 0.72/1.18 1 ==> 1
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (33) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, T, Z ), !
% 0.72/1.18 alpha6( X, Y, Z, T ) }.
% 0.72/1.18 parent0: (1074) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ),
% 0.72/1.18 before_on_line( X, T, Z ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 Z := Z
% 0.72/1.18 T := T
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 1
% 0.72/1.18 1 ==> 0
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (34) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, Z, Y ), !
% 0.72/1.18 alpha6( X, Y, Z, T ) }.
% 0.72/1.18 parent0: (1075) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ),
% 0.72/1.18 before_on_line( X, Z, Y ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 Z := Z
% 0.72/1.18 T := T
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 1
% 0.72/1.18 1 ==> 0
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (35) {G0,W13,D2,L3,V4,M1} I { ! before_on_line( X, T, Z ), !
% 0.72/1.18 before_on_line( X, Z, Y ), alpha6( X, Y, Z, T ) }.
% 0.72/1.18 parent0: (1076) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, T, Z ), !
% 0.72/1.18 before_on_line( X, Z, Y ), alpha6( X, Y, Z, T ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 Z := Z
% 0.72/1.18 T := T
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 0
% 0.72/1.18 1 ==> 1
% 0.72/1.18 2 ==> 2
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (36) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, Y, Z ), !
% 0.72/1.18 alpha3( X, Y, Z, T ) }.
% 0.72/1.18 parent0: (1077) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ),
% 0.72/1.18 before_on_line( X, Y, Z ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 Z := Z
% 0.72/1.18 T := T
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 1
% 0.72/1.18 1 ==> 0
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (37) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, Z, T ), !
% 0.72/1.18 alpha3( X, Y, Z, T ) }.
% 0.72/1.18 parent0: (1078) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ),
% 0.72/1.18 before_on_line( X, Z, T ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 Z := Z
% 0.72/1.18 T := T
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 1
% 0.72/1.18 1 ==> 0
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (38) {G0,W13,D2,L3,V4,M1} I { ! before_on_line( X, Y, Z ), !
% 0.72/1.18 before_on_line( X, Z, T ), alpha3( X, Y, Z, T ) }.
% 0.72/1.18 parent0: (1079) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, Y, Z ), !
% 0.72/1.18 before_on_line( X, Z, T ), alpha3( X, Y, Z, T ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 Z := Z
% 0.72/1.18 T := T
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 0
% 0.72/1.18 1 ==> 1
% 0.72/1.18 2 ==> 2
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (39) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 0.72/1.18 parent0: (1080) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 0
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (40) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 0.72/1.18 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 0.72/1.18 parent0: (1081) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ),
% 0.72/1.18 distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 Z := Z
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 2
% 0.72/1.18 1 ==> 0
% 0.72/1.18 2 ==> 1
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X
% 0.72/1.18 ) }.
% 0.72/1.18 parent0: (1084) {G0,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, X )
% 0.72/1.18 }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 0
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z )
% 0.72/1.18 , unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y )
% 0.72/1.18 }.
% 0.72/1.18 parent0: (1085) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.72/1.18 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 Z := Z
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 2
% 0.72/1.18 1 ==> 0
% 0.72/1.18 2 ==> 1
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (51) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y
% 0.72/1.18 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.72/1.18 left_convergent_lines( X, reverse_line( Y ) ), left_convergent_lines( X,
% 0.72/1.18 Y ) }.
% 0.72/1.18 parent0: (1092) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y )
% 0.72/1.18 , ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.72/1.18 left_convergent_lines( X, Y ), left_convergent_lines( X, reverse_line( Y
% 0.72/1.18 ) ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 0
% 0.72/1.18 1 ==> 1
% 0.72/1.18 2 ==> 3
% 0.72/1.18 3 ==> 2
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (52) {G0,W3,D2,L1,V2,M1} I { ! left_apart_point( X, Y ) }.
% 0.72/1.18 parent0: (1093) {G0,W3,D2,L1,V2,M1} { ! left_apart_point( X, Y ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 0
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.72/1.18 }.
% 0.72/1.18 parent0: (1095) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 0
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (64) {G0,W8,D4,L1,V2,M1} I { ! unequally_directed_lines(
% 0.72/1.18 line_connecting( X, Y ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.72/1.18 parent0: (1107) {G0,W8,D4,L1,V2,M1} { ! unequally_directed_lines(
% 0.72/1.18 line_connecting( X, Y ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 0
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (65) {G0,W5,D3,L1,V2,M1} I { ! unequally_directed_lines(
% 0.72/1.18 parallel_through_point( Y, X ), Y ) }.
% 0.72/1.18 parent0: (1108) {G0,W5,D3,L1,V2,M1} { ! unequally_directed_lines(
% 0.72/1.18 parallel_through_point( Y, X ), Y ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 0
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 *** allocated 22500 integers for termspace/termends
% 0.72/1.18 subsumption: (67) {G0,W5,D2,L1,V0,M1} I { between_on_line( skol1, skol2,
% 0.72/1.18 skol3, skol4 ) }.
% 0.72/1.18 parent0: (1114) {G0,W5,D2,L1,V0,M1} { between_on_line( skol1, skol2, skol3
% 0.72/1.18 , skol4 ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 0
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (68) {G0,W5,D2,L1,V0,M1} I { ! between_on_line( skol1, skol4,
% 0.72/1.18 skol3, skol2 ) }.
% 0.72/1.18 parent0: (1115) {G0,W5,D2,L1,V0,M1} { ! between_on_line( skol1, skol4,
% 0.72/1.18 skol3, skol2 ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 0
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 resolution: (1237) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X )
% 0.72/1.18 , ! unequally_directed_lines( X, Y ) }.
% 0.72/1.18 parent0[0]: (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X )
% 0.72/1.18 }.
% 0.72/1.18 parent1[0]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.72/1.18 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 end
% 0.72/1.18 substitution1:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 Z := X
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (107) {G1,W6,D2,L2,V2,M2} R(44,43) { !
% 0.72/1.18 unequally_directed_lines( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.72/1.18 parent0: (1237) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X ), !
% 0.72/1.18 unequally_directed_lines( X, Y ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := Y
% 0.72/1.18 Y := X
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 1
% 0.72/1.18 1 ==> 0
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 resolution: (1239) {G1,W5,D3,L1,V2,M1} { ! unequally_directed_lines( X,
% 0.72/1.18 parallel_through_point( X, Y ) ) }.
% 0.72/1.18 parent0[0]: (65) {G0,W5,D3,L1,V2,M1} I { ! unequally_directed_lines(
% 0.72/1.18 parallel_through_point( Y, X ), Y ) }.
% 0.72/1.18 parent1[1]: (107) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines
% 0.72/1.18 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := Y
% 0.72/1.18 Y := X
% 0.72/1.18 end
% 0.72/1.18 substitution1:
% 0.72/1.18 X := parallel_through_point( X, Y )
% 0.72/1.18 Y := X
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (118) {G2,W5,D3,L1,V2,M1} R(107,65) { !
% 0.72/1.18 unequally_directed_lines( X, parallel_through_point( X, Y ) ) }.
% 0.72/1.18 parent0: (1239) {G1,W5,D3,L1,V2,M1} { ! unequally_directed_lines( X,
% 0.72/1.18 parallel_through_point( X, Y ) ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 0
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 *** allocated 75937 integers for clauses
% 0.72/1.18 resolution: (1240) {G1,W8,D3,L2,V3,M2} { unequally_directed_lines( Z,
% 0.72/1.18 parallel_through_point( X, Y ) ), ! unequally_directed_lines( X, Z ) }.
% 0.72/1.18 parent0[0]: (118) {G2,W5,D3,L1,V2,M1} R(107,65) { !
% 0.72/1.18 unequally_directed_lines( X, parallel_through_point( X, Y ) ) }.
% 0.72/1.18 parent1[0]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.72/1.18 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 end
% 0.72/1.18 substitution1:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Z
% 0.72/1.18 Z := parallel_through_point( X, Y )
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (119) {G3,W8,D3,L2,V3,M2} R(118,44) { !
% 0.72/1.18 unequally_directed_lines( Y, X ), unequally_directed_lines( X,
% 0.72/1.18 parallel_through_point( Y, Z ) ) }.
% 0.72/1.18 parent0: (1240) {G1,W8,D3,L2,V3,M2} { unequally_directed_lines( Z,
% 0.72/1.18 parallel_through_point( X, Y ) ), ! unequally_directed_lines( X, Z ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := Y
% 0.72/1.18 Y := Z
% 0.72/1.18 Z := X
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 1
% 0.72/1.18 1 ==> 0
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 resolution: (1242) {G1,W15,D3,L4,V3,M4} { ! alpha2( X, Y ), alpha7( X, Y,
% 0.72/1.18 Z ), unequally_directed_lines( X, line_connecting( Y, Z ) ), ! alpha5( X
% 0.72/1.18 , Z ) }.
% 0.72/1.18 parent0[2]: (20) {G0,W11,D2,L3,V3,M1} I { ! alpha2( X, Y ), alpha7( X, Y, Z
% 0.72/1.18 ), ! alpha8( X, Y, Z ) }.
% 0.72/1.18 parent1[2]: (23) {G0,W12,D3,L3,V3,M1} I { unequally_directed_lines( X,
% 0.72/1.18 line_connecting( Y, Z ) ), ! alpha5( X, Z ), alpha8( X, Y, Z ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 Z := Z
% 0.72/1.18 end
% 0.72/1.18 substitution1:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 Z := Z
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (148) {G1,W15,D3,L4,V3,M1} R(23,20) { unequally_directed_lines
% 0.72/1.18 ( X, line_connecting( Y, Z ) ), ! alpha2( X, Y ), ! alpha5( X, Z ),
% 0.72/1.18 alpha7( X, Y, Z ) }.
% 0.72/1.18 parent0: (1242) {G1,W15,D3,L4,V3,M4} { ! alpha2( X, Y ), alpha7( X, Y, Z )
% 0.72/1.18 , unequally_directed_lines( X, line_connecting( Y, Z ) ), ! alpha5( X, Z
% 0.72/1.18 ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 Z := Z
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 1
% 0.72/1.18 1 ==> 3
% 0.72/1.18 2 ==> 0
% 0.72/1.18 3 ==> 2
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 resolution: (1243) {G1,W7,D3,L2,V2,M2} { left_apart_point( X, reverse_line
% 0.72/1.18 ( Y ) ), alpha5( Y, X ) }.
% 0.72/1.18 parent0[0]: (52) {G0,W3,D2,L1,V2,M1} I { ! left_apart_point( X, Y ) }.
% 0.72/1.18 parent1[0]: (26) {G0,W10,D3,L3,V2,M1} I { left_apart_point( Y, X ),
% 0.72/1.18 left_apart_point( Y, reverse_line( X ) ), alpha5( X, Y ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 end
% 0.72/1.18 substitution1:
% 0.72/1.18 X := Y
% 0.72/1.18 Y := X
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 resolution: (1245) {G1,W3,D2,L1,V2,M1} { alpha5( Y, X ) }.
% 0.72/1.18 parent0[0]: (52) {G0,W3,D2,L1,V2,M1} I { ! left_apart_point( X, Y ) }.
% 0.72/1.18 parent1[0]: (1243) {G1,W7,D3,L2,V2,M2} { left_apart_point( X, reverse_line
% 0.72/1.18 ( Y ) ), alpha5( Y, X ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := reverse_line( Y )
% 0.72/1.18 end
% 0.72/1.18 substitution1:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (157) {G1,W3,D2,L1,V2,M1} S(26);r(52);r(52) { alpha5( X, Y )
% 0.72/1.18 }.
% 0.72/1.18 parent0: (1245) {G1,W3,D2,L1,V2,M1} { alpha5( Y, X ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := Y
% 0.72/1.18 Y := X
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 0
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 resolution: (1246) {G1,W7,D3,L2,V2,M2} { left_apart_point( X, reverse_line
% 0.72/1.18 ( Y ) ), alpha2( Y, X ) }.
% 0.72/1.18 parent0[0]: (52) {G0,W3,D2,L1,V2,M1} I { ! left_apart_point( X, Y ) }.
% 0.72/1.18 parent1[0]: (29) {G0,W10,D3,L3,V2,M1} I { left_apart_point( Y, X ),
% 0.72/1.18 left_apart_point( Y, reverse_line( X ) ), alpha2( X, Y ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 end
% 0.72/1.18 substitution1:
% 0.72/1.18 X := Y
% 0.72/1.18 Y := X
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 resolution: (1248) {G1,W3,D2,L1,V2,M1} { alpha2( Y, X ) }.
% 0.72/1.18 parent0[0]: (52) {G0,W3,D2,L1,V2,M1} I { ! left_apart_point( X, Y ) }.
% 0.72/1.18 parent1[0]: (1246) {G1,W7,D3,L2,V2,M2} { left_apart_point( X, reverse_line
% 0.72/1.18 ( Y ) ), alpha2( Y, X ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := reverse_line( Y )
% 0.72/1.18 end
% 0.72/1.18 substitution1:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (180) {G1,W3,D2,L1,V2,M1} S(29);r(52);r(52) { alpha2( X, Y )
% 0.72/1.18 }.
% 0.72/1.18 parent0: (1248) {G1,W3,D2,L1,V2,M1} { alpha2( Y, X ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := Y
% 0.72/1.18 Y := X
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 0
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 resolution: (1249) {G1,W10,D2,L2,V0,M2} { alpha3( skol1, skol2, skol3,
% 0.72/1.18 skol4 ), alpha6( skol1, skol2, skol3, skol4 ) }.
% 0.72/1.18 parent0[2]: (30) {G0,W15,D2,L3,V4,M1} I { alpha3( X, Y, Z, T ), alpha6( X,
% 0.72/1.18 Y, Z, T ), ! between_on_line( X, Y, Z, T ) }.
% 0.72/1.18 parent1[0]: (67) {G0,W5,D2,L1,V0,M1} I { between_on_line( skol1, skol2,
% 0.72/1.18 skol3, skol4 ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := skol1
% 0.72/1.18 Y := skol2
% 0.72/1.18 Z := skol3
% 0.72/1.18 T := skol4
% 0.72/1.18 end
% 0.72/1.18 substitution1:
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (189) {G1,W10,D2,L2,V0,M1} R(30,67) { alpha3( skol1, skol2,
% 0.72/1.18 skol3, skol4 ), alpha6( skol1, skol2, skol3, skol4 ) }.
% 0.72/1.18 parent0: (1249) {G1,W10,D2,L2,V0,M2} { alpha3( skol1, skol2, skol3, skol4
% 0.72/1.18 ), alpha6( skol1, skol2, skol3, skol4 ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 0
% 0.72/1.18 1 ==> 1
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 resolution: (1250) {G1,W5,D2,L1,V0,M1} { ! alpha3( skol1, skol4, skol3,
% 0.72/1.18 skol2 ) }.
% 0.72/1.18 parent0[0]: (68) {G0,W5,D2,L1,V0,M1} I { ! between_on_line( skol1, skol4,
% 0.72/1.18 skol3, skol2 ) }.
% 0.72/1.18 parent1[1]: (31) {G0,W10,D2,L2,V4,M1} I { ! alpha3( X, Y, Z, T ),
% 0.72/1.18 between_on_line( X, Y, Z, T ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 end
% 0.72/1.18 substitution1:
% 0.72/1.18 X := skol1
% 0.72/1.18 Y := skol4
% 0.72/1.18 Z := skol3
% 0.72/1.18 T := skol2
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (217) {G1,W5,D2,L1,V0,M1} R(31,68) { ! alpha3( skol1, skol4,
% 0.72/1.18 skol3, skol2 ) }.
% 0.72/1.18 parent0: (1250) {G1,W5,D2,L1,V0,M1} { ! alpha3( skol1, skol4, skol3, skol2
% 0.72/1.18 ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 0
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 resolution: (1251) {G1,W5,D2,L1,V0,M1} { ! alpha6( skol1, skol4, skol3,
% 0.72/1.18 skol2 ) }.
% 0.72/1.18 parent0[0]: (68) {G0,W5,D2,L1,V0,M1} I { ! between_on_line( skol1, skol4,
% 0.72/1.18 skol3, skol2 ) }.
% 0.72/1.18 parent1[1]: (32) {G0,W10,D2,L2,V4,M1} I { ! alpha6( X, Y, Z, T ),
% 0.72/1.18 between_on_line( X, Y, Z, T ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 end
% 0.72/1.18 substitution1:
% 0.72/1.18 X := skol1
% 0.72/1.18 Y := skol4
% 0.72/1.18 Z := skol3
% 0.72/1.18 T := skol2
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (247) {G1,W5,D2,L1,V0,M1} R(32,68) { ! alpha6( skol1, skol4,
% 0.72/1.18 skol3, skol2 ) }.
% 0.72/1.18 parent0: (1251) {G1,W5,D2,L1,V0,M1} { ! alpha6( skol1, skol4, skol3, skol2
% 0.72/1.18 ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 0
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 resolution: (1252) {G1,W8,D2,L2,V0,M2} { ! before_on_line( skol1, skol2,
% 0.72/1.18 skol3 ), ! before_on_line( skol1, skol3, skol4 ) }.
% 0.72/1.18 parent0[0]: (247) {G1,W5,D2,L1,V0,M1} R(32,68) { ! alpha6( skol1, skol4,
% 0.72/1.18 skol3, skol2 ) }.
% 0.72/1.18 parent1[2]: (35) {G0,W13,D2,L3,V4,M1} I { ! before_on_line( X, T, Z ), !
% 0.72/1.18 before_on_line( X, Z, Y ), alpha6( X, Y, Z, T ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 end
% 0.72/1.18 substitution1:
% 0.72/1.18 X := skol1
% 0.72/1.18 Y := skol4
% 0.72/1.18 Z := skol3
% 0.72/1.18 T := skol2
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (266) {G2,W8,D2,L2,V0,M1} R(35,247) { ! before_on_line( skol1
% 0.72/1.18 , skol2, skol3 ), ! before_on_line( skol1, skol3, skol4 ) }.
% 0.72/1.18 parent0: (1252) {G1,W8,D2,L2,V0,M2} { ! before_on_line( skol1, skol2,
% 0.72/1.18 skol3 ), ! before_on_line( skol1, skol3, skol4 ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 0
% 0.72/1.18 1 ==> 1
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 resolution: (1253) {G1,W8,D2,L2,V0,M2} { ! before_on_line( skol1, skol4,
% 0.72/1.18 skol3 ), ! before_on_line( skol1, skol3, skol2 ) }.
% 0.72/1.18 parent0[0]: (217) {G1,W5,D2,L1,V0,M1} R(31,68) { ! alpha3( skol1, skol4,
% 0.72/1.18 skol3, skol2 ) }.
% 0.72/1.18 parent1[2]: (38) {G0,W13,D2,L3,V4,M1} I { ! before_on_line( X, Y, Z ), !
% 0.72/1.18 before_on_line( X, Z, T ), alpha3( X, Y, Z, T ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 end
% 0.72/1.18 substitution1:
% 0.72/1.18 X := skol1
% 0.72/1.18 Y := skol4
% 0.72/1.18 Z := skol3
% 0.72/1.18 T := skol2
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (278) {G2,W8,D2,L2,V0,M1} R(38,217) { ! before_on_line( skol1
% 0.72/1.18 , skol3, skol2 ), ! before_on_line( skol1, skol4, skol3 ) }.
% 0.72/1.18 parent0: (1253) {G1,W8,D2,L2,V0,M2} { ! before_on_line( skol1, skol4,
% 0.72/1.18 skol3 ), ! before_on_line( skol1, skol3, skol2 ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 1
% 0.72/1.18 1 ==> 0
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 resolution: (1254) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 0.72/1.18 distinct_points( X, Y ) }.
% 0.72/1.18 parent0[0]: (39) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 0.72/1.18 parent1[0]: (40) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 0.72/1.18 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 end
% 0.72/1.18 substitution1:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 Z := X
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (289) {G1,W6,D2,L2,V2,M2} R(40,39) { ! distinct_points( Y, X )
% 0.72/1.18 , distinct_points( X, Y ) }.
% 0.72/1.18 parent0: (1254) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 0.72/1.18 distinct_points( X, Y ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := Y
% 0.72/1.18 Y := X
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 1
% 0.72/1.18 1 ==> 0
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 resolution: (1256) {G1,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y
% 0.72/1.18 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.72/1.18 left_convergent_lines( X, Y ) }.
% 0.72/1.18 parent0[0]: (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.72/1.18 }.
% 0.72/1.18 parent1[2]: (51) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y
% 0.72/1.18 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.72/1.18 left_convergent_lines( X, reverse_line( Y ) ), left_convergent_lines( X,
% 0.72/1.18 Y ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := reverse_line( Y )
% 0.72/1.18 end
% 0.72/1.18 substitution1:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 resolution: (1258) {G1,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, Y
% 0.72/1.18 ), ! unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.72/1.18 parent0[0]: (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.72/1.18 }.
% 0.72/1.18 parent1[2]: (1256) {G1,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y
% 0.72/1.18 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.72/1.18 left_convergent_lines( X, Y ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 end
% 0.72/1.18 substitution1:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (411) {G1,W7,D3,L2,V2,M2} S(51);r(53);r(53) { !
% 0.72/1.18 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.72/1.18 unequally_directed_lines( X, Y ) }.
% 0.72/1.18 parent0: (1258) {G1,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, Y ),
% 0.72/1.18 ! unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 1
% 0.72/1.18 1 ==> 0
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 resolution: (1260) {G2,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X,
% 0.72/1.18 reverse_line( Y ) ), ! unequally_directed_lines( Y, X ) }.
% 0.72/1.18 parent0[1]: (411) {G1,W7,D3,L2,V2,M2} S(51);r(53);r(53) { !
% 0.72/1.18 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.72/1.18 unequally_directed_lines( X, Y ) }.
% 0.72/1.18 parent1[1]: (107) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines
% 0.72/1.18 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 end
% 0.72/1.18 substitution1:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (443) {G2,W7,D3,L2,V2,M2} R(411,107) { !
% 0.72/1.18 unequally_directed_lines( Y, X ), ! unequally_directed_lines( X,
% 0.72/1.18 reverse_line( Y ) ) }.
% 0.72/1.18 parent0: (1260) {G2,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X,
% 0.72/1.18 reverse_line( Y ) ), ! unequally_directed_lines( Y, X ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 1
% 0.72/1.18 1 ==> 0
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 resolution: (1264) {G1,W10,D3,L3,V3,M3} { ! unequally_directed_lines( X, Y
% 0.72/1.18 ), unequally_directed_lines( Z, reverse_line( X ) ), !
% 0.72/1.18 unequally_directed_lines( Z, Y ) }.
% 0.72/1.18 parent0[1]: (443) {G2,W7,D3,L2,V2,M2} R(411,107) { !
% 0.72/1.18 unequally_directed_lines( Y, X ), ! unequally_directed_lines( X,
% 0.72/1.18 reverse_line( Y ) ) }.
% 0.72/1.18 parent1[1]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.72/1.18 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := Y
% 0.72/1.18 Y := X
% 0.72/1.18 end
% 0.72/1.18 substitution1:
% 0.72/1.18 X := Z
% 0.72/1.18 Y := Y
% 0.72/1.18 Z := reverse_line( X )
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 subsumption: (493) {G3,W10,D3,L3,V3,M3} R(443,44) {
% 0.72/1.18 unequally_directed_lines( Z, reverse_line( X ) ), !
% 0.72/1.18 unequally_directed_lines( Z, Y ), ! unequally_directed_lines( X, Y ) }.
% 0.72/1.18 parent0: (1264) {G1,W10,D3,L3,V3,M3} { ! unequally_directed_lines( X, Y )
% 0.72/1.18 , unequally_directed_lines( Z, reverse_line( X ) ), !
% 0.72/1.18 unequally_directed_lines( Z, Y ) }.
% 0.72/1.18 substitution0:
% 0.72/1.18 X := X
% 0.72/1.18 Y := Y
% 0.72/1.18 Z := Z
% 0.72/1.18 end
% 0.72/1.18 permutation0:
% 0.72/1.18 0 ==> 2
% 0.72/1.18 1 ==> 0
% 0.72/1.18 2 ==> 1
% 0.72/1.18 end
% 0.72/1.18
% 0.72/1.18 factor: (1268) {G3,W7,D3,L2,V2,M2} { unequally_directed_lines( X,
% 0.72/1.18 reverse_line( X ) ), ! unequally_directed_lines( X, Y ) }.
% 0.81/1.18 parent0[1, 2]: (493) {G3,W10,D3,L3,V3,M3} R(443,44) {
% 0.81/1.18 unequally_directed_lines( Z, reverse_line( X ) ), !
% 0.81/1.18 unequally_directed_lines( Z, Y ), ! unequally_directed_lines( X, Y ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 Z := X
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (494) {G4,W7,D3,L2,V2,M2} F(493) { ! unequally_directed_lines
% 0.81/1.18 ( X, Y ), unequally_directed_lines( X, reverse_line( X ) ) }.
% 0.81/1.18 parent0: (1268) {G3,W7,D3,L2,V2,M2} { unequally_directed_lines( X,
% 0.81/1.18 reverse_line( X ) ), ! unequally_directed_lines( X, Y ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 1
% 0.81/1.18 1 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (1269) {G1,W5,D3,L1,V2,M1} { ! unequally_directed_lines(
% 0.81/1.18 line_connecting( X, X ), Y ) }.
% 0.81/1.18 parent0[0]: (64) {G0,W8,D4,L1,V2,M1} I { ! unequally_directed_lines(
% 0.81/1.18 line_connecting( X, Y ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.81/1.18 parent1[1]: (494) {G4,W7,D3,L2,V2,M2} F(493) { ! unequally_directed_lines(
% 0.81/1.18 X, Y ), unequally_directed_lines( X, reverse_line( X ) ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := X
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := line_connecting( X, X )
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (514) {G5,W5,D3,L1,V2,M1} R(494,64) { !
% 0.81/1.18 unequally_directed_lines( line_connecting( X, X ), Y ) }.
% 0.81/1.18 parent0: (1269) {G1,W5,D3,L1,V2,M1} { ! unequally_directed_lines(
% 0.81/1.18 line_connecting( X, X ), Y ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (1270) {G4,W5,D3,L1,V2,M1} { ! unequally_directed_lines( Y,
% 0.81/1.18 line_connecting( X, X ) ) }.
% 0.81/1.18 parent0[0]: (514) {G5,W5,D3,L1,V2,M1} R(494,64) { !
% 0.81/1.18 unequally_directed_lines( line_connecting( X, X ), Y ) }.
% 0.81/1.18 parent1[1]: (119) {G3,W8,D3,L2,V3,M2} R(118,44) { !
% 0.81/1.18 unequally_directed_lines( Y, X ), unequally_directed_lines( X,
% 0.81/1.18 parallel_through_point( Y, Z ) ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := parallel_through_point( Y, Z )
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := line_connecting( X, X )
% 0.81/1.18 Y := Y
% 0.81/1.18 Z := Z
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (519) {G6,W5,D3,L1,V2,M1} R(514,119) { !
% 0.81/1.18 unequally_directed_lines( X, line_connecting( Y, Y ) ) }.
% 0.81/1.18 parent0: (1270) {G4,W5,D3,L1,V2,M1} { ! unequally_directed_lines( Y,
% 0.81/1.18 line_connecting( X, X ) ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := Y
% 0.81/1.18 Y := X
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (1271) {G1,W8,D3,L2,V3,M2} { unequally_directed_lines( Z,
% 0.81/1.18 line_connecting( Y, Y ) ), ! unequally_directed_lines( X, Z ) }.
% 0.81/1.18 parent0[0]: (519) {G6,W5,D3,L1,V2,M1} R(514,119) { !
% 0.81/1.18 unequally_directed_lines( X, line_connecting( Y, Y ) ) }.
% 0.81/1.18 parent1[0]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.81/1.18 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Z
% 0.81/1.18 Z := line_connecting( Y, Y )
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (1273) {G2,W3,D2,L1,V2,M1} { ! unequally_directed_lines( Z, X
% 0.81/1.18 ) }.
% 0.81/1.18 parent0[0]: (519) {G6,W5,D3,L1,V2,M1} R(514,119) { !
% 0.81/1.18 unequally_directed_lines( X, line_connecting( Y, Y ) ) }.
% 0.81/1.18 parent1[0]: (1271) {G1,W8,D3,L2,V3,M2} { unequally_directed_lines( Z,
% 0.81/1.18 line_connecting( Y, Y ) ), ! unequally_directed_lines( X, Z ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := Z
% 0.81/1.18 Y := Y
% 0.81/1.18 Z := X
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (520) {G7,W3,D2,L1,V2,M1} R(519,44);r(519) { !
% 0.81/1.18 unequally_directed_lines( Z, X ) }.
% 0.81/1.18 parent0: (1273) {G2,W3,D2,L1,V2,M1} { ! unequally_directed_lines( Z, X )
% 0.81/1.18 }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := T
% 0.81/1.18 Z := Z
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (1274) {G1,W9,D2,L2,V0,M2} { before_on_line( skol1, skol4,
% 0.81/1.18 skol3 ), alpha3( skol1, skol2, skol3, skol4 ) }.
% 0.81/1.18 parent0[1]: (33) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, T, Z ), !
% 0.81/1.18 alpha6( X, Y, Z, T ) }.
% 0.81/1.18 parent1[1]: (189) {G1,W10,D2,L2,V0,M1} R(30,67) { alpha3( skol1, skol2,
% 0.81/1.18 skol3, skol4 ), alpha6( skol1, skol2, skol3, skol4 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := skol1
% 0.81/1.18 Y := skol2
% 0.81/1.18 Z := skol3
% 0.81/1.18 T := skol4
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (853) {G2,W9,D2,L2,V0,M1} R(189,33) { before_on_line( skol1,
% 0.81/1.18 skol4, skol3 ), alpha3( skol1, skol2, skol3, skol4 ) }.
% 0.81/1.18 parent0: (1274) {G1,W9,D2,L2,V0,M2} { before_on_line( skol1, skol4, skol3
% 0.81/1.18 ), alpha3( skol1, skol2, skol3, skol4 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 1 ==> 1
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (1275) {G1,W9,D2,L2,V0,M2} { before_on_line( skol1, skol3,
% 0.81/1.18 skol2 ), alpha3( skol1, skol2, skol3, skol4 ) }.
% 0.81/1.18 parent0[1]: (34) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, Z, Y ), !
% 0.81/1.18 alpha6( X, Y, Z, T ) }.
% 0.81/1.18 parent1[1]: (189) {G1,W10,D2,L2,V0,M1} R(30,67) { alpha3( skol1, skol2,
% 0.81/1.18 skol3, skol4 ), alpha6( skol1, skol2, skol3, skol4 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := skol1
% 0.81/1.18 Y := skol2
% 0.81/1.18 Z := skol3
% 0.81/1.18 T := skol4
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (854) {G2,W9,D2,L2,V0,M1} R(189,34) { before_on_line( skol1,
% 0.81/1.18 skol3, skol2 ), alpha3( skol1, skol2, skol3, skol4 ) }.
% 0.81/1.18 parent0: (1275) {G1,W9,D2,L2,V0,M2} { before_on_line( skol1, skol3, skol2
% 0.81/1.18 ), alpha3( skol1, skol2, skol3, skol4 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 1 ==> 1
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (1276) {G1,W8,D2,L2,V0,M2} { before_on_line( skol1, skol2,
% 0.81/1.18 skol3 ), before_on_line( skol1, skol4, skol3 ) }.
% 0.81/1.18 parent0[1]: (36) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, Y, Z ), !
% 0.81/1.18 alpha3( X, Y, Z, T ) }.
% 0.81/1.18 parent1[1]: (853) {G2,W9,D2,L2,V0,M1} R(189,33) { before_on_line( skol1,
% 0.81/1.18 skol4, skol3 ), alpha3( skol1, skol2, skol3, skol4 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := skol1
% 0.81/1.18 Y := skol2
% 0.81/1.18 Z := skol3
% 0.81/1.18 T := skol4
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (855) {G3,W8,D2,L2,V0,M1} R(853,36) { before_on_line( skol1,
% 0.81/1.18 skol2, skol3 ), before_on_line( skol1, skol4, skol3 ) }.
% 0.81/1.18 parent0: (1276) {G1,W8,D2,L2,V0,M2} { before_on_line( skol1, skol2, skol3
% 0.81/1.18 ), before_on_line( skol1, skol4, skol3 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 1 ==> 1
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (1277) {G1,W8,D2,L2,V0,M2} { before_on_line( skol1, skol3,
% 0.81/1.18 skol4 ), before_on_line( skol1, skol4, skol3 ) }.
% 0.81/1.18 parent0[1]: (37) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, Z, T ), !
% 0.81/1.18 alpha3( X, Y, Z, T ) }.
% 0.81/1.18 parent1[1]: (853) {G2,W9,D2,L2,V0,M1} R(189,33) { before_on_line( skol1,
% 0.81/1.18 skol4, skol3 ), alpha3( skol1, skol2, skol3, skol4 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := skol1
% 0.81/1.18 Y := skol2
% 0.81/1.18 Z := skol3
% 0.81/1.18 T := skol4
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (856) {G3,W8,D2,L2,V0,M1} R(853,37) { before_on_line( skol1,
% 0.81/1.18 skol4, skol3 ), before_on_line( skol1, skol3, skol4 ) }.
% 0.81/1.18 parent0: (1277) {G1,W8,D2,L2,V0,M2} { before_on_line( skol1, skol3, skol4
% 0.81/1.18 ), before_on_line( skol1, skol4, skol3 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 1
% 0.81/1.18 1 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (1278) {G2,W10,D2,L3,V3,M3} { ! alpha2( X, Y ), ! alpha5( X, Z
% 0.81/1.18 ), alpha7( X, Y, Z ) }.
% 0.81/1.18 parent0[0]: (520) {G7,W3,D2,L1,V2,M1} R(519,44);r(519) { !
% 0.81/1.18 unequally_directed_lines( Z, X ) }.
% 0.81/1.18 parent1[0]: (148) {G1,W15,D3,L4,V3,M1} R(23,20) { unequally_directed_lines
% 0.81/1.18 ( X, line_connecting( Y, Z ) ), ! alpha2( X, Y ), ! alpha5( X, Z ),
% 0.81/1.18 alpha7( X, Y, Z ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := line_connecting( Y, Z )
% 0.81/1.18 Y := T
% 0.81/1.18 Z := X
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 Z := Z
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (1279) {G2,W7,D2,L2,V3,M2} { ! alpha5( X, Z ), alpha7( X, Y, Z
% 0.81/1.18 ) }.
% 0.81/1.18 parent0[0]: (1278) {G2,W10,D2,L3,V3,M3} { ! alpha2( X, Y ), ! alpha5( X, Z
% 0.81/1.18 ), alpha7( X, Y, Z ) }.
% 0.81/1.18 parent1[0]: (180) {G1,W3,D2,L1,V2,M1} S(29);r(52);r(52) { alpha2( X, Y )
% 0.81/1.18 }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 Z := Z
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (1280) {G2,W4,D2,L1,V3,M1} { alpha7( X, Z, Y ) }.
% 0.81/1.18 parent0[0]: (1279) {G2,W7,D2,L2,V3,M2} { ! alpha5( X, Z ), alpha7( X, Y, Z
% 0.81/1.18 ) }.
% 0.81/1.18 parent1[0]: (157) {G1,W3,D2,L1,V2,M1} S(26);r(52);r(52) { alpha5( X, Y )
% 0.81/1.18 }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Z
% 0.81/1.18 Z := Y
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Y
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (906) {G8,W4,D2,L1,V3,M1} S(148);r(520);r(180);r(157) { alpha7
% 0.81/1.18 ( X, Y, Z ) }.
% 0.81/1.18 parent0: (1280) {G2,W4,D2,L1,V3,M1} { alpha7( X, Z, Y ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := X
% 0.81/1.18 Y := Z
% 0.81/1.18 Z := Y
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (1281) {G3,W8,D2,L2,V0,M2} { ! before_on_line( skol1, skol2,
% 0.81/1.18 skol3 ), before_on_line( skol1, skol4, skol3 ) }.
% 0.81/1.18 parent0[1]: (266) {G2,W8,D2,L2,V0,M1} R(35,247) { ! before_on_line( skol1,
% 0.81/1.18 skol2, skol3 ), ! before_on_line( skol1, skol3, skol4 ) }.
% 0.81/1.18 parent1[1]: (856) {G3,W8,D2,L2,V0,M1} R(853,37) { before_on_line( skol1,
% 0.81/1.18 skol4, skol3 ), before_on_line( skol1, skol3, skol4 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (1282) {G4,W8,D2,L2,V0,M2} { before_on_line( skol1, skol4,
% 0.81/1.18 skol3 ), before_on_line( skol1, skol4, skol3 ) }.
% 0.81/1.18 parent0[0]: (1281) {G3,W8,D2,L2,V0,M2} { ! before_on_line( skol1, skol2,
% 0.81/1.18 skol3 ), before_on_line( skol1, skol4, skol3 ) }.
% 0.81/1.18 parent1[0]: (855) {G3,W8,D2,L2,V0,M1} R(853,36) { before_on_line( skol1,
% 0.81/1.18 skol2, skol3 ), before_on_line( skol1, skol4, skol3 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 factor: (1283) {G4,W4,D2,L1,V0,M1} { before_on_line( skol1, skol4, skol3 )
% 0.81/1.18 }.
% 0.81/1.18 parent0[0, 1]: (1282) {G4,W8,D2,L2,V0,M2} { before_on_line( skol1, skol4,
% 0.81/1.18 skol3 ), before_on_line( skol1, skol4, skol3 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (922) {G4,W4,D2,L1,V0,M1} R(856,266);r(855) { before_on_line(
% 0.81/1.18 skol1, skol4, skol3 ) }.
% 0.81/1.18 parent0: (1283) {G4,W4,D2,L1,V0,M1} { before_on_line( skol1, skol4, skol3
% 0.81/1.18 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (1284) {G3,W4,D2,L1,V0,M1} { ! before_on_line( skol1, skol3,
% 0.81/1.18 skol2 ) }.
% 0.81/1.18 parent0[1]: (278) {G2,W8,D2,L2,V0,M1} R(38,217) { ! before_on_line( skol1,
% 0.81/1.18 skol3, skol2 ), ! before_on_line( skol1, skol4, skol3 ) }.
% 0.81/1.18 parent1[0]: (922) {G4,W4,D2,L1,V0,M1} R(856,266);r(855) { before_on_line(
% 0.81/1.18 skol1, skol4, skol3 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (923) {G5,W4,D2,L1,V0,M1} R(922,278) { ! before_on_line( skol1
% 0.81/1.18 , skol3, skol2 ) }.
% 0.81/1.18 parent0: (1284) {G3,W4,D2,L1,V0,M1} { ! before_on_line( skol1, skol3,
% 0.81/1.18 skol2 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (1285) {G1,W3,D2,L1,V0,M1} { distinct_points( skol4, skol3 )
% 0.81/1.18 }.
% 0.81/1.18 parent0[1]: (15) {G0,W7,D2,L2,V3,M1} I { distinct_points( Y, Z ), !
% 0.81/1.18 before_on_line( X, Y, Z ) }.
% 0.81/1.18 parent1[0]: (922) {G4,W4,D2,L1,V0,M1} R(856,266);r(855) { before_on_line(
% 0.81/1.18 skol1, skol4, skol3 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := skol1
% 0.81/1.18 Y := skol4
% 0.81/1.18 Z := skol3
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (924) {G5,W3,D2,L1,V0,M1} R(922,15) { distinct_points( skol4,
% 0.81/1.18 skol3 ) }.
% 0.81/1.18 parent0: (1285) {G1,W3,D2,L1,V0,M1} { distinct_points( skol4, skol3 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (1286) {G2,W3,D2,L1,V0,M1} { distinct_points( skol3, skol4 )
% 0.81/1.18 }.
% 0.81/1.18 parent0[0]: (289) {G1,W6,D2,L2,V2,M2} R(40,39) { ! distinct_points( Y, X )
% 0.81/1.18 , distinct_points( X, Y ) }.
% 0.81/1.18 parent1[0]: (924) {G5,W3,D2,L1,V0,M1} R(922,15) { distinct_points( skol4,
% 0.81/1.18 skol3 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := skol3
% 0.81/1.18 Y := skol4
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (929) {G6,W3,D2,L1,V0,M1} R(924,289) { distinct_points( skol3
% 0.81/1.18 , skol4 ) }.
% 0.81/1.18 parent0: (1286) {G2,W3,D2,L1,V0,M1} { distinct_points( skol3, skol4 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (1287) {G1,W7,D2,L2,V3,M2} { ! distinct_points( X, Y ),
% 0.81/1.18 before_on_line( Z, X, Y ) }.
% 0.81/1.18 parent0[1]: (17) {G0,W11,D2,L3,V3,M1} I { ! distinct_points( Y, Z ), !
% 0.81/1.18 alpha7( X, Y, Z ), before_on_line( X, Y, Z ) }.
% 0.81/1.18 parent1[0]: (906) {G8,W4,D2,L1,V3,M1} S(148);r(520);r(180);r(157) { alpha7
% 0.81/1.18 ( X, Y, Z ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := Z
% 0.81/1.18 Y := X
% 0.81/1.18 Z := Y
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := Z
% 0.81/1.18 Y := X
% 0.81/1.18 Z := Y
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (1002) {G9,W7,D2,L2,V3,M1} S(17);r(906) { ! distinct_points( Y
% 0.81/1.18 , Z ), before_on_line( X, Y, Z ) }.
% 0.81/1.18 parent0: (1287) {G1,W7,D2,L2,V3,M2} { ! distinct_points( X, Y ),
% 0.81/1.18 before_on_line( Z, X, Y ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := Y
% 0.81/1.18 Y := Z
% 0.81/1.18 Z := X
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 1 ==> 1
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (1289) {G3,W7,D2,L2,V0,M2} { ! before_on_line( skol1, skol2,
% 0.81/1.18 skol3 ), ! distinct_points( skol3, skol4 ) }.
% 0.81/1.18 parent0[1]: (266) {G2,W8,D2,L2,V0,M1} R(35,247) { ! before_on_line( skol1,
% 0.81/1.18 skol2, skol3 ), ! before_on_line( skol1, skol3, skol4 ) }.
% 0.81/1.18 parent1[1]: (1002) {G9,W7,D2,L2,V3,M1} S(17);r(906) { ! distinct_points( Y
% 0.81/1.18 , Z ), before_on_line( X, Y, Z ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 X := skol1
% 0.81/1.18 Y := skol3
% 0.81/1.18 Z := skol4
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (1290) {G4,W4,D2,L1,V0,M1} { ! before_on_line( skol1, skol2,
% 0.81/1.18 skol3 ) }.
% 0.81/1.18 parent0[1]: (1289) {G3,W7,D2,L2,V0,M2} { ! before_on_line( skol1, skol2,
% 0.81/1.18 skol3 ), ! distinct_points( skol3, skol4 ) }.
% 0.81/1.18 parent1[0]: (929) {G6,W3,D2,L1,V0,M1} R(924,289) { distinct_points( skol3,
% 0.81/1.18 skol4 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (1004) {G10,W4,D2,L1,V0,M1} R(1002,266);r(929) { !
% 0.81/1.18 before_on_line( skol1, skol2, skol3 ) }.
% 0.81/1.18 parent0: (1290) {G4,W4,D2,L1,V0,M1} { ! before_on_line( skol1, skol2,
% 0.81/1.18 skol3 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (1291) {G3,W5,D2,L1,V0,M1} { alpha3( skol1, skol2, skol3,
% 0.81/1.18 skol4 ) }.
% 0.81/1.18 parent0[0]: (923) {G5,W4,D2,L1,V0,M1} R(922,278) { ! before_on_line( skol1
% 0.81/1.18 , skol3, skol2 ) }.
% 0.81/1.18 parent1[0]: (854) {G2,W9,D2,L2,V0,M1} R(189,34) { before_on_line( skol1,
% 0.81/1.18 skol3, skol2 ), alpha3( skol1, skol2, skol3, skol4 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (1038) {G6,W5,D2,L1,V0,M1} S(854);r(923) { alpha3( skol1,
% 0.81/1.18 skol2, skol3, skol4 ) }.
% 0.81/1.18 parent0: (1291) {G3,W5,D2,L1,V0,M1} { alpha3( skol1, skol2, skol3, skol4 )
% 0.81/1.18 }.
% 0.81/1.18 substitution0:
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 0 ==> 0
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (1292) {G1,W4,D2,L1,V0,M1} { before_on_line( skol1, skol2,
% 0.81/1.18 skol3 ) }.
% 0.81/1.18 parent0[1]: (36) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, Y, Z ), !
% 0.81/1.18 alpha3( X, Y, Z, T ) }.
% 0.81/1.18 parent1[0]: (1038) {G6,W5,D2,L1,V0,M1} S(854);r(923) { alpha3( skol1, skol2
% 0.81/1.18 , skol3, skol4 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 X := skol1
% 0.81/1.18 Y := skol2
% 0.81/1.18 Z := skol3
% 0.81/1.18 T := skol4
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 resolution: (1293) {G2,W0,D0,L0,V0,M0} { }.
% 0.81/1.18 parent0[0]: (1004) {G10,W4,D2,L1,V0,M1} R(1002,266);r(929) { !
% 0.81/1.18 before_on_line( skol1, skol2, skol3 ) }.
% 0.81/1.18 parent1[0]: (1292) {G1,W4,D2,L1,V0,M1} { before_on_line( skol1, skol2,
% 0.81/1.18 skol3 ) }.
% 0.81/1.18 substitution0:
% 0.81/1.18 end
% 0.81/1.18 substitution1:
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 subsumption: (1039) {G11,W0,D0,L0,V0,M0} R(1038,36);r(1004) { }.
% 0.81/1.18 parent0: (1293) {G2,W0,D0,L0,V0,M0} { }.
% 0.81/1.18 substitution0:
% 0.81/1.18 end
% 0.81/1.18 permutation0:
% 0.81/1.18 end
% 0.81/1.18
% 0.81/1.18 Proof check complete!
% 0.81/1.18
% 0.81/1.18 Memory use:
% 0.81/1.18
% 0.81/1.18 space for terms: 13351
% 0.81/1.18 space for clauses: 46071
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 clauses generated: 6163
% 0.81/1.18 clauses kept: 1040
% 0.81/1.18 clauses selected: 254
% 0.81/1.18 clauses deleted: 260
% 0.81/1.18 clauses inuse deleted: 107
% 0.81/1.18
% 0.81/1.18 subsentry: 143361
% 0.81/1.18 literals s-matched: 50068
% 0.81/1.18 literals matched: 49965
% 0.81/1.18 full subsumption: 13749
% 0.81/1.18
% 0.81/1.18 checksum: 654318589
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 Bliksem ended
%------------------------------------------------------------------------------