TSTP Solution File: GEO263+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO263+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 02:53:24 EDT 2022
% Result : Theorem 0.45s 0.86s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GEO263+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.00/0.09 % Command : bliksem %s
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % DateTime : Sat Jun 18 06:02:16 EDT 2022
% 0.08/0.27 % CPUTime :
% 0.45/0.86 *** allocated 10000 integers for termspace/termends
% 0.45/0.86 *** allocated 10000 integers for clauses
% 0.45/0.86 *** allocated 10000 integers for justifications
% 0.45/0.86 Bliksem 1.12
% 0.45/0.86
% 0.45/0.86
% 0.45/0.86 Automatic Strategy Selection
% 0.45/0.86
% 0.45/0.86
% 0.45/0.86 Clauses:
% 0.45/0.86
% 0.45/0.86 { ! apart_point_and_line( X, Y ), left_apart_point( X, Y ),
% 0.45/0.86 left_apart_point( X, reverse_line( Y ) ) }.
% 0.45/0.86 { ! left_apart_point( X, Y ), apart_point_and_line( X, Y ) }.
% 0.45/0.86 { ! left_apart_point( X, reverse_line( Y ) ), apart_point_and_line( X, Y )
% 0.45/0.86 }.
% 0.45/0.86 { ! convergent_lines( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.45/0.86 { ! convergent_lines( X, Y ), unequally_directed_lines( X, reverse_line( Y
% 0.45/0.86 ) ) }.
% 0.45/0.86 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.45/0.86 reverse_line( Y ) ), convergent_lines( X, Y ) }.
% 0.45/0.86 { ! divides_points( Z, X, Y ), alpha1( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.45/0.86 { ! alpha1( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.45/0.86 { ! alpha4( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.45/0.86 { ! alpha4( X, Y, Z ), left_apart_point( X, reverse_line( Z ) ) }.
% 0.45/0.86 { ! alpha4( X, Y, Z ), left_apart_point( Y, Z ) }.
% 0.45/0.86 { ! left_apart_point( X, reverse_line( Z ) ), ! left_apart_point( Y, Z ),
% 0.45/0.86 alpha4( X, Y, Z ) }.
% 0.45/0.86 { ! alpha1( X, Y, Z ), left_apart_point( X, Z ) }.
% 0.45/0.86 { ! alpha1( X, Y, Z ), left_apart_point( Y, reverse_line( Z ) ) }.
% 0.45/0.86 { ! left_apart_point( X, Z ), ! left_apart_point( Y, reverse_line( Z ) ),
% 0.45/0.86 alpha1( X, Y, Z ) }.
% 0.45/0.86 { ! before_on_line( X, Y, Z ), distinct_points( Y, Z ) }.
% 0.45/0.86 { ! before_on_line( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.45/0.86 { ! distinct_points( Y, Z ), ! alpha7( X, Y, Z ), before_on_line( X, Y, Z )
% 0.45/0.86 }.
% 0.45/0.86 { ! alpha7( X, Y, Z ), alpha2( X, Y ) }.
% 0.45/0.86 { ! alpha7( X, Y, Z ), alpha8( X, Y, Z ) }.
% 0.45/0.86 { ! alpha2( X, Y ), ! alpha8( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.45/0.86 { ! alpha8( X, Y, Z ), alpha5( X, Z ) }.
% 0.45/0.86 { ! alpha8( X, Y, Z ), ! unequally_directed_lines( X, line_connecting( Y, Z
% 0.45/0.86 ) ) }.
% 0.45/0.86 { ! alpha5( X, Z ), unequally_directed_lines( X, line_connecting( Y, Z ) )
% 0.45/0.86 , alpha8( X, Y, Z ) }.
% 0.45/0.86 { ! alpha5( X, Y ), ! left_apart_point( Y, X ) }.
% 0.45/0.86 { ! alpha5( X, Y ), ! left_apart_point( Y, reverse_line( X ) ) }.
% 0.45/0.86 { left_apart_point( Y, X ), left_apart_point( Y, reverse_line( X ) ),
% 0.45/0.86 alpha5( X, Y ) }.
% 0.45/0.86 { ! alpha2( X, Y ), ! left_apart_point( Y, X ) }.
% 0.45/0.86 { ! alpha2( X, Y ), ! left_apart_point( Y, reverse_line( X ) ) }.
% 0.45/0.86 { left_apart_point( Y, X ), left_apart_point( Y, reverse_line( X ) ),
% 0.45/0.86 alpha2( X, Y ) }.
% 0.45/0.86 { ! between_on_line( X, Y, Z, T ), alpha3( X, Y, Z, T ), alpha6( X, Y, Z, T
% 0.45/0.86 ) }.
% 0.45/0.86 { ! alpha3( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.45/0.86 { ! alpha6( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.45/0.86 { ! alpha6( X, Y, Z, T ), before_on_line( X, T, Z ) }.
% 0.45/0.86 { ! alpha6( X, Y, Z, T ), before_on_line( X, Z, Y ) }.
% 0.45/0.86 { ! before_on_line( X, T, Z ), ! before_on_line( X, Z, Y ), alpha6( X, Y, Z
% 0.45/0.86 , T ) }.
% 0.45/0.86 { ! alpha3( X, Y, Z, T ), before_on_line( X, Y, Z ) }.
% 0.45/0.86 { ! alpha3( X, Y, Z, T ), before_on_line( X, Z, T ) }.
% 0.45/0.86 { ! before_on_line( X, Y, Z ), ! before_on_line( X, Z, T ), alpha3( X, Y, Z
% 0.45/0.86 , T ) }.
% 0.45/0.86 { ! distinct_points( X, X ) }.
% 0.45/0.86 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.45/0.86 ) }.
% 0.45/0.86 { ! distinct_lines( X, X ) }.
% 0.45/0.86 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.45/0.86 }.
% 0.45/0.86 { ! unequally_directed_lines( X, X ) }.
% 0.45/0.86 { ! unequally_directed_lines( X, Y ), unequally_directed_lines( X, Z ),
% 0.45/0.86 unequally_directed_lines( Y, Z ) }.
% 0.45/0.86 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.45/0.86 reverse_line( Y ) ), alpha9( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.45/0.86 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.45/0.86 reverse_line( Y ) ), alpha9( X, Z ), unequally_directed_lines( Y,
% 0.45/0.86 reverse_line( Z ) ) }.
% 0.45/0.86 { ! alpha9( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.45/0.86 { ! alpha9( X, Y ), unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.45/0.86 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.45/0.86 reverse_line( Y ) ), alpha9( X, Y ) }.
% 0.45/0.86 { ! line( X ), ! line( Y ), unequally_directed_lines( X, Y ),
% 0.45/0.86 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.45/0.86 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.45/0.86 reverse_line( Y ) ), left_convergent_lines( X, Y ), left_convergent_lines
% 0.45/0.86 ( X, reverse_line( Y ) ) }.
% 0.45/0.86 { ! left_apart_point( X, Y ) }.
% 0.45/0.86 { ! left_apart_point( X, reverse_line( Y ) ) }.
% 0.45/0.86 { ! left_convergent_lines( X, Y ) }.
% 0.45/0.86 { ! left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.45/0.86 { ! point( X ), ! point( Y ), ! distinct_points( X, Y ), line(
% 0.45/0.86 line_connecting( X, Y ) ) }.
% 0.45/0.86 { ! line( X ), ! line( Y ), ! unequally_directed_lines( X, Y ), !
% 0.45/0.86 unequally_directed_lines( X, reverse_line( Y ) ), point(
% 0.45/0.86 intersection_point( X, Y ) ) }.
% 0.45/0.86 { ! point( Y ), ! line( X ), line( parallel_through_point( X, Y ) ) }.
% 0.45/0.86 { ! line( X ), line( reverse_line( X ) ) }.
% 0.45/0.86 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 0.45/0.86 , Y ) ) }.
% 0.45/0.86 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 0.45/0.86 , Y ) ) }.
% 0.45/0.86 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.45/0.86 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 0.45/0.86 X ) }.
% 0.45/0.86 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.45/0.86 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 0.45/0.86 Y ) }.
% 0.45/0.86 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 0.45/0.86 { ! distinct_lines( X, reverse_line( X ) ) }.
% 0.45/0.86 { ! unequally_directed_lines( line_connecting( X, Y ), reverse_line(
% 0.45/0.86 line_connecting( Y, X ) ) ) }.
% 0.45/0.86 { ! unequally_directed_lines( parallel_through_point( Y, X ), Y ) }.
% 0.45/0.86 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), left_apart_point( X
% 0.45/0.86 , Z ), left_apart_point( Y, Z ), left_apart_point( X, T ),
% 0.45/0.86 left_apart_point( Y, T ), left_apart_point( X, reverse_line( Z ) ),
% 0.45/0.86 left_apart_point( Y, reverse_line( Z ) ), left_apart_point( X,
% 0.45/0.86 reverse_line( T ) ), left_apart_point( Y, reverse_line( T ) ) }.
% 0.45/0.86 { ! distinct_points( X, Y ), ! left_apart_point( X, Z ), left_apart_point(
% 0.45/0.86 Y, Z ), left_convergent_lines( line_connecting( X, Y ), Z ) }.
% 0.45/0.86 { ! left_apart_point( X, Y ), distinct_points( X, Z ), left_apart_point( Z
% 0.45/0.86 , Y ) }.
% 0.45/0.86 { ! left_apart_point( X, Y ), ! unequally_directed_lines( Y, Z ),
% 0.45/0.86 distinct_lines( Y, Z ), left_apart_point( X, reverse_line( Z ) ) }.
% 0.45/0.86 { ! left_convergent_lines( X, Y ), unequally_directed_lines( Y, Z ),
% 0.45/0.86 left_convergent_lines( X, Z ) }.
% 0.45/0.86 { between_on_line( skol6, skol3, skol4, skol5 ) }.
% 0.45/0.86 { convergent_lines( skol6, skol1 ) }.
% 0.45/0.86 { convergent_lines( skol6, skol2 ) }.
% 0.45/0.86 { convergent_lines( skol1, skol2 ) }.
% 0.45/0.86 { ! between_on_line( skol1, intersection_point( skol1,
% 0.45/0.86 parallel_through_point( skol2, skol3 ) ), intersection_point( skol1,
% 0.45/0.86 parallel_through_point( skol2, skol4 ) ), intersection_point( skol1,
% 0.45/0.86 parallel_through_point( skol2, skol5 ) ) ) }.
% 0.45/0.86
% 0.45/0.86 percentage equality = 0.000000, percentage horn = 0.805556
% 0.45/0.86 This a non-horn, non-equality problem
% 0.45/0.86
% 0.45/0.86
% 0.45/0.86 Options Used:
% 0.45/0.86
% 0.45/0.86 useres = 1
% 0.45/0.86 useparamod = 0
% 0.45/0.86 useeqrefl = 0
% 0.45/0.86 useeqfact = 0
% 0.45/0.86 usefactor = 1
% 0.45/0.86 usesimpsplitting = 0
% 0.45/0.86 usesimpdemod = 0
% 0.45/0.86 usesimpres = 3
% 0.45/0.86
% 0.45/0.86 resimpinuse = 1000
% 0.45/0.86 resimpclauses = 20000
% 0.45/0.86 substype = standard
% 0.45/0.86 backwardsubs = 1
% 0.45/0.86 selectoldest = 5
% 0.45/0.86
% 0.45/0.86 litorderings [0] = split
% 0.45/0.86 litorderings [1] = liftord
% 0.45/0.86
% 0.45/0.86 termordering = none
% 0.45/0.86
% 0.45/0.86 litapriori = 1
% 0.45/0.86 termapriori = 0
% 0.45/0.86 litaposteriori = 0
% 0.45/0.86 termaposteriori = 0
% 0.45/0.86 demodaposteriori = 0
% 0.45/0.86 ordereqreflfact = 0
% 0.45/0.86
% 0.45/0.86 litselect = none
% 0.45/0.86
% 0.45/0.86 maxweight = 15
% 0.45/0.86 maxdepth = 30000
% 0.45/0.86 maxlength = 115
% 0.45/0.86 maxnrvars = 195
% 0.45/0.86 excuselevel = 1
% 0.45/0.86 increasemaxweight = 1
% 0.45/0.86
% 0.45/0.86 maxselected = 10000000
% 0.45/0.86 maxnrclauses = 10000000
% 0.45/0.86
% 0.45/0.86 showgenerated = 0
% 0.45/0.86 showkept = 0
% 0.45/0.86 showselected = 0
% 0.45/0.86 showdeleted = 0
% 0.45/0.86 showresimp = 1
% 0.45/0.86 showstatus = 2000
% 0.45/0.86
% 0.45/0.86 prologoutput = 0
% 0.45/0.86 nrgoals = 5000000
% 0.45/0.86 totalproof = 1
% 0.45/0.86
% 0.45/0.86 Symbols occurring in the translation:
% 0.45/0.86
% 0.45/0.86 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.45/0.86 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 0.45/0.86 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.45/0.86 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/0.86 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/0.86 apart_point_and_line [37, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.45/0.86 left_apart_point [38, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.45/0.86 reverse_line [39, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.45/0.86 convergent_lines [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.45/0.86 unequally_directed_lines [42, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.45/0.86 divides_points [44, 3] (w:1, o:63, a:1, s:1, b:0),
% 0.45/0.86 before_on_line [45, 3] (w:1, o:68, a:1, s:1, b:0),
% 0.45/0.86 distinct_points [46, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.45/0.86 line_connecting [47, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.45/0.86 between_on_line [49, 4] (w:1, o:71, a:1, s:1, b:0),
% 0.45/0.86 distinct_lines [50, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.45/0.86 line [52, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.45/0.86 left_convergent_lines [53, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.45/0.86 point [54, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.45/0.86 intersection_point [55, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.45/0.86 parallel_through_point [56, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.45/0.86 alpha1 [57, 3] (w:1, o:64, a:1, s:1, b:0),
% 0.45/0.86 alpha2 [58, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.45/0.86 alpha3 [59, 4] (w:1, o:69, a:1, s:1, b:0),
% 0.45/0.86 alpha4 [60, 3] (w:1, o:65, a:1, s:1, b:0),
% 0.45/0.86 alpha5 [61, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.45/0.86 alpha6 [62, 4] (w:1, o:70, a:1, s:1, b:0),
% 0.45/0.86 alpha7 [63, 3] (w:1, o:66, a:1, s:1, b:0),
% 0.45/0.86 alpha8 [64, 3] (w:1, o:67, a:1, s:1, b:0),
% 0.45/0.86 alpha9 [65, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.45/0.86 skol1 [66, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.45/0.86 skol2 [67, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.45/0.86 skol3 [68, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.45/0.86 skol4 [69, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.45/0.86 skol5 [70, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.45/0.86 skol6 [71, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.45/0.86
% 0.45/0.86
% 0.45/0.86 Starting Search:
% 0.45/0.86
% 0.45/0.86 *** allocated 15000 integers for clauses
% 0.45/0.86 *** allocated 22500 integers for clauses
% 0.45/0.86 *** allocated 33750 integers for clauses
% 0.45/0.86
% 0.45/0.86 Bliksems!, er is een bewijs:
% 0.45/0.86 % SZS status Theorem
% 0.45/0.86 % SZS output start Refutation
% 0.45/0.86
% 0.45/0.86 (3) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ),
% 0.45/0.86 unequally_directed_lines( X, Y ) }.
% 0.45/0.86 (4) {G0,W7,D3,L2,V2,M1} I { ! convergent_lines( X, Y ),
% 0.45/0.86 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.45/0.86 (5) {G0,W10,D3,L3,V2,M2} I { convergent_lines( X, Y ), !
% 0.45/0.86 unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.45/0.86 reverse_line( Y ) ) }.
% 0.45/0.86 (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X ) }.
% 0.45/0.86 (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.45/0.86 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.45/0.86 (51) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y ), !
% 0.45/0.86 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 0.45/0.86 X, reverse_line( Y ) ), left_convergent_lines( X, Y ) }.
% 0.45/0.86 (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y ) }.
% 0.45/0.86 (65) {G0,W5,D3,L1,V2,M1} I { ! unequally_directed_lines(
% 0.45/0.86 parallel_through_point( Y, X ), Y ) }.
% 0.45/0.86 (68) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol6, skol1 ) }.
% 0.45/0.86 (110) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines( Y, X ),
% 0.45/0.86 unequally_directed_lines( X, Y ) }.
% 0.45/0.86 (121) {G2,W5,D3,L1,V2,M1} R(110,65) { ! unequally_directed_lines( X,
% 0.45/0.86 parallel_through_point( X, Y ) ) }.
% 0.45/0.86 (122) {G3,W8,D3,L2,V3,M2} R(121,44) { ! unequally_directed_lines( Y, X ),
% 0.45/0.86 unequally_directed_lines( X, parallel_through_point( Y, Z ) ) }.
% 0.45/0.86 (137) {G4,W8,D3,L2,V3,M2} R(122,110) { unequally_directed_lines(
% 0.45/0.86 parallel_through_point( X, Z ), Y ), ! unequally_directed_lines( X, Y )
% 0.45/0.86 }.
% 0.45/0.86 (175) {G5,W9,D3,L2,V3,M1} R(137,4) { ! convergent_lines( X, Z ),
% 0.45/0.86 unequally_directed_lines( parallel_through_point( X, Y ), reverse_line( Z
% 0.45/0.86 ) ) }.
% 0.45/0.86 (177) {G5,W8,D3,L2,V3,M1} R(137,3) { ! convergent_lines( X, Z ),
% 0.45/0.86 unequally_directed_lines( parallel_through_point( X, Y ), Z ) }.
% 0.45/0.86 (188) {G6,W8,D3,L2,V3,M2} R(177,5);r(175) { convergent_lines(
% 0.45/0.86 parallel_through_point( X, Z ), Y ), ! convergent_lines( X, Y ) }.
% 0.45/0.86 (192) {G7,W5,D3,L1,V1,M1} R(188,68) { convergent_lines(
% 0.45/0.86 parallel_through_point( skol6, X ), skol1 ) }.
% 0.45/0.86 (195) {G8,W7,D4,L1,V2,M1} R(192,188) { convergent_lines(
% 0.45/0.86 parallel_through_point( parallel_through_point( skol6, X ), Y ), skol1 )
% 0.45/0.86 }.
% 0.45/0.86 (406) {G1,W7,D3,L2,V2,M2} S(51);r(53);r(53) { ! unequally_directed_lines( X
% 0.45/0.86 , reverse_line( Y ) ), ! unequally_directed_lines( X, Y ) }.
% 0.45/0.86 (430) {G6,W3,D2,L1,V2,M1} R(406,177);r(175) { ! convergent_lines( X, Z )
% 0.45/0.86 }.
% 0.45/0.86 (444) {G9,W0,D0,L0,V0,M0} R(430,195) { }.
% 0.45/0.86
% 0.45/0.86
% 0.45/0.86 % SZS output end Refutation
% 0.45/0.86 found a proof!
% 0.45/0.86
% 0.45/0.86
% 0.45/0.86 Unprocessed initial clauses:
% 0.45/0.86
% 0.45/0.86 (446) {G0,W10,D3,L3,V2,M3} { ! apart_point_and_line( X, Y ),
% 0.45/0.86 left_apart_point( X, Y ), left_apart_point( X, reverse_line( Y ) ) }.
% 0.45/0.86 (447) {G0,W6,D2,L2,V2,M2} { ! left_apart_point( X, Y ),
% 0.45/0.86 apart_point_and_line( X, Y ) }.
% 0.45/0.86 (448) {G0,W7,D3,L2,V2,M2} { ! left_apart_point( X, reverse_line( Y ) ),
% 0.45/0.86 apart_point_and_line( X, Y ) }.
% 0.45/0.86 (449) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.45/0.86 unequally_directed_lines( X, Y ) }.
% 0.45/0.86 (450) {G0,W7,D3,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.45/0.86 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.45/0.86 (451) {G0,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.45/0.86 unequally_directed_lines( X, reverse_line( Y ) ), convergent_lines( X, Y
% 0.45/0.86 ) }.
% 0.45/0.86 (452) {G0,W12,D2,L3,V3,M3} { ! divides_points( Z, X, Y ), alpha1( X, Y, Z
% 0.45/0.86 ), alpha4( X, Y, Z ) }.
% 0.45/0.86 (453) {G0,W8,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), divides_points( Z, X, Y )
% 0.45/0.86 }.
% 0.45/0.86 (454) {G0,W8,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), divides_points( Z, X, Y )
% 0.45/0.86 }.
% 0.45/0.86 (455) {G0,W8,D3,L2,V3,M2} { ! alpha4( X, Y, Z ), left_apart_point( X,
% 0.45/0.86 reverse_line( Z ) ) }.
% 0.45/0.86 (456) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), left_apart_point( Y, Z )
% 0.45/0.86 }.
% 0.45/0.86 (457) {G0,W11,D3,L3,V3,M3} { ! left_apart_point( X, reverse_line( Z ) ), !
% 0.45/0.86 left_apart_point( Y, Z ), alpha4( X, Y, Z ) }.
% 0.45/0.86 (458) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), left_apart_point( X, Z )
% 0.45/0.86 }.
% 0.45/0.86 (459) {G0,W8,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), left_apart_point( Y,
% 0.45/0.86 reverse_line( Z ) ) }.
% 0.45/0.86 (460) {G0,W11,D3,L3,V3,M3} { ! left_apart_point( X, Z ), !
% 0.45/0.86 left_apart_point( Y, reverse_line( Z ) ), alpha1( X, Y, Z ) }.
% 0.45/0.86 (461) {G0,W7,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), distinct_points(
% 0.45/0.86 Y, Z ) }.
% 0.45/0.86 (462) {G0,W8,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), alpha7( X, Y, Z )
% 0.45/0.86 }.
% 0.45/0.86 (463) {G0,W11,D2,L3,V3,M3} { ! distinct_points( Y, Z ), ! alpha7( X, Y, Z
% 0.45/0.86 ), before_on_line( X, Y, Z ) }.
% 0.45/0.86 (464) {G0,W7,D2,L2,V3,M2} { ! alpha7( X, Y, Z ), alpha2( X, Y ) }.
% 0.45/0.86 (465) {G0,W8,D2,L2,V3,M2} { ! alpha7( X, Y, Z ), alpha8( X, Y, Z ) }.
% 0.45/0.86 (466) {G0,W11,D2,L3,V3,M3} { ! alpha2( X, Y ), ! alpha8( X, Y, Z ), alpha7
% 0.45/0.86 ( X, Y, Z ) }.
% 0.45/0.86 (467) {G0,W7,D2,L2,V3,M2} { ! alpha8( X, Y, Z ), alpha5( X, Z ) }.
% 0.45/0.86 (468) {G0,W9,D3,L2,V3,M2} { ! alpha8( X, Y, Z ), !
% 0.45/0.86 unequally_directed_lines( X, line_connecting( Y, Z ) ) }.
% 0.45/0.86 (469) {G0,W12,D3,L3,V3,M3} { ! alpha5( X, Z ), unequally_directed_lines( X
% 0.45/0.86 , line_connecting( Y, Z ) ), alpha8( X, Y, Z ) }.
% 0.45/0.86 (470) {G0,W6,D2,L2,V2,M2} { ! alpha5( X, Y ), ! left_apart_point( Y, X )
% 0.45/0.86 }.
% 0.45/0.86 (471) {G0,W7,D3,L2,V2,M2} { ! alpha5( X, Y ), ! left_apart_point( Y,
% 0.45/0.86 reverse_line( X ) ) }.
% 0.45/0.86 (472) {G0,W10,D3,L3,V2,M3} { left_apart_point( Y, X ), left_apart_point( Y
% 0.45/0.86 , reverse_line( X ) ), alpha5( X, Y ) }.
% 0.45/0.86 (473) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), ! left_apart_point( Y, X )
% 0.45/0.86 }.
% 0.45/0.86 (474) {G0,W7,D3,L2,V2,M2} { ! alpha2( X, Y ), ! left_apart_point( Y,
% 0.45/0.86 reverse_line( X ) ) }.
% 0.45/0.86 (475) {G0,W10,D3,L3,V2,M3} { left_apart_point( Y, X ), left_apart_point( Y
% 0.45/0.86 , reverse_line( X ) ), alpha2( X, Y ) }.
% 0.45/0.86 (476) {G0,W15,D2,L3,V4,M3} { ! between_on_line( X, Y, Z, T ), alpha3( X, Y
% 0.45/0.86 , Z, T ), alpha6( X, Y, Z, T ) }.
% 0.45/0.86 (477) {G0,W10,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), between_on_line( X, Y
% 0.45/0.86 , Z, T ) }.
% 0.45/0.86 (478) {G0,W10,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), between_on_line( X, Y
% 0.45/0.86 , Z, T ) }.
% 0.45/0.86 (479) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, T,
% 0.45/0.86 Z ) }.
% 0.45/0.86 (480) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, Z,
% 0.45/0.86 Y ) }.
% 0.45/0.86 (481) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, T, Z ), ! before_on_line
% 0.45/0.86 ( X, Z, Y ), alpha6( X, Y, Z, T ) }.
% 0.45/0.86 (482) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Y,
% 0.45/0.86 Z ) }.
% 0.45/0.86 (483) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Z,
% 0.45/0.86 T ) }.
% 0.45/0.86 (484) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, Y, Z ), ! before_on_line
% 0.45/0.86 ( X, Z, T ), alpha3( X, Y, Z, T ) }.
% 0.45/0.86 (485) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.45/0.86 (486) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.45/0.86 , Z ), distinct_points( Y, Z ) }.
% 0.45/0.86 (487) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.45/0.86 (488) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 0.45/0.86 ), distinct_lines( Y, Z ) }.
% 0.45/0.86 (489) {G0,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, X ) }.
% 0.45/0.86 (490) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.45/0.86 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.45/0.86 (491) {G0,W13,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 0.45/0.86 unequally_directed_lines( X, reverse_line( Y ) ), alpha9( X, Z ),
% 0.45/0.86 unequally_directed_lines( Y, Z ) }.
% 0.45/0.86 (492) {G0,W14,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 0.45/0.86 unequally_directed_lines( X, reverse_line( Y ) ), alpha9( X, Z ),
% 0.45/0.86 unequally_directed_lines( Y, reverse_line( Z ) ) }.
% 0.45/0.86 (493) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), unequally_directed_lines( X
% 0.45/0.86 , Y ) }.
% 0.45/0.86 (494) {G0,W7,D3,L2,V2,M2} { ! alpha9( X, Y ), unequally_directed_lines( X
% 0.45/0.86 , reverse_line( Y ) ) }.
% 0.45/0.86 (495) {G0,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.45/0.86 unequally_directed_lines( X, reverse_line( Y ) ), alpha9( X, Y ) }.
% 0.45/0.86 (496) {G0,W11,D3,L4,V2,M4} { ! line( X ), ! line( Y ),
% 0.45/0.86 unequally_directed_lines( X, Y ), unequally_directed_lines( X,
% 0.45/0.86 reverse_line( Y ) ) }.
% 0.45/0.86 (497) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y ), !
% 0.45/0.86 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 0.45/0.86 X, Y ), left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.45/0.86 (498) {G0,W3,D2,L1,V2,M1} { ! left_apart_point( X, Y ) }.
% 0.45/0.86 (499) {G0,W4,D3,L1,V2,M1} { ! left_apart_point( X, reverse_line( Y ) ) }.
% 0.45/0.86 (500) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 0.45/0.86 (501) {G0,W4,D3,L1,V2,M1} { ! left_convergent_lines( X, reverse_line( Y )
% 0.45/0.86 ) }.
% 0.45/0.86 (502) {G0,W11,D3,L4,V2,M4} { ! point( X ), ! point( Y ), ! distinct_points
% 0.45/0.86 ( X, Y ), line( line_connecting( X, Y ) ) }.
% 0.45/0.86 (503) {G0,W15,D3,L5,V2,M5} { ! line( X ), ! line( Y ), !
% 0.45/0.86 unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.45/0.86 reverse_line( Y ) ), point( intersection_point( X, Y ) ) }.
% 0.45/0.86 (504) {G0,W8,D3,L3,V2,M3} { ! point( Y ), ! line( X ), line(
% 0.45/0.86 parallel_through_point( X, Y ) ) }.
% 0.45/0.86 (505) {G0,W5,D3,L2,V1,M2} { ! line( X ), line( reverse_line( X ) ) }.
% 0.45/0.86 (506) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.45/0.86 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.45/0.86 (507) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.45/0.86 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.45/0.86 (508) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.45/0.86 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 0.45/0.86 ( intersection_point( X, Y ), X ) }.
% 0.45/0.86 (509) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.45/0.86 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 0.45/0.86 ( intersection_point( X, Y ), Y ) }.
% 0.45/0.86 (510) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 0.45/0.86 parallel_through_point( Y, X ) ) }.
% 0.45/0.86 (511) {G0,W4,D3,L1,V1,M1} { ! distinct_lines( X, reverse_line( X ) ) }.
% 0.45/0.86 (512) {G0,W8,D4,L1,V2,M1} { ! unequally_directed_lines( line_connecting( X
% 0.45/0.86 , Y ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.45/0.86 (513) {G0,W5,D3,L1,V2,M1} { ! unequally_directed_lines(
% 0.45/0.86 parallel_through_point( Y, X ), Y ) }.
% 0.45/0.86 (514) {G0,W34,D3,L10,V4,M10} { ! distinct_points( X, Y ), ! distinct_lines
% 0.45/0.86 ( Z, T ), left_apart_point( X, Z ), left_apart_point( Y, Z ),
% 0.45/0.86 left_apart_point( X, T ), left_apart_point( Y, T ), left_apart_point( X,
% 0.45/0.86 reverse_line( Z ) ), left_apart_point( Y, reverse_line( Z ) ),
% 0.45/0.86 left_apart_point( X, reverse_line( T ) ), left_apart_point( Y,
% 0.45/0.86 reverse_line( T ) ) }.
% 0.45/0.86 (515) {G0,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), ! left_apart_point
% 0.45/0.86 ( X, Z ), left_apart_point( Y, Z ), left_convergent_lines(
% 0.45/0.86 line_connecting( X, Y ), Z ) }.
% 0.45/0.86 (516) {G0,W9,D2,L3,V3,M3} { ! left_apart_point( X, Y ), distinct_points( X
% 0.45/0.86 , Z ), left_apart_point( Z, Y ) }.
% 0.45/0.86 (517) {G0,W13,D3,L4,V3,M4} { ! left_apart_point( X, Y ), !
% 0.45/0.86 unequally_directed_lines( Y, Z ), distinct_lines( Y, Z ),
% 0.45/0.86 left_apart_point( X, reverse_line( Z ) ) }.
% 0.45/0.86 (518) {G0,W9,D2,L3,V3,M3} { ! left_convergent_lines( X, Y ),
% 0.45/0.86 unequally_directed_lines( Y, Z ), left_convergent_lines( X, Z ) }.
% 0.45/0.86 (519) {G0,W5,D2,L1,V0,M1} { between_on_line( skol6, skol3, skol4, skol5 )
% 0.45/0.86 }.
% 0.45/0.86 (520) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol6, skol1 ) }.
% 0.45/0.86 (521) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol6, skol2 ) }.
% 0.45/0.86 (522) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 0.45/0.86 (523) {G0,W17,D4,L1,V0,M1} { ! between_on_line( skol1, intersection_point
% 0.45/0.86 ( skol1, parallel_through_point( skol2, skol3 ) ), intersection_point(
% 0.45/0.86 skol1, parallel_through_point( skol2, skol4 ) ), intersection_point(
% 0.45/0.86 skol1, parallel_through_point( skol2, skol5 ) ) ) }.
% 0.45/0.86
% 0.45/0.86
% 0.45/0.86 Total Proof:
% 0.45/0.86
% 0.45/0.86 subsumption: (3) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ),
% 0.45/0.86 unequally_directed_lines( X, Y ) }.
% 0.45/0.86 parent0: (449) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.45/0.86 unequally_directed_lines( X, Y ) }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := X
% 0.45/0.86 Y := Y
% 0.45/0.86 end
% 0.45/0.86 permutation0:
% 0.45/0.86 0 ==> 0
% 0.45/0.86 1 ==> 1
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 subsumption: (4) {G0,W7,D3,L2,V2,M1} I { ! convergent_lines( X, Y ),
% 0.45/0.86 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.45/0.86 parent0: (450) {G0,W7,D3,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.45/0.86 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := X
% 0.45/0.86 Y := Y
% 0.45/0.86 end
% 0.45/0.86 permutation0:
% 0.45/0.86 0 ==> 0
% 0.45/0.86 1 ==> 1
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 subsumption: (5) {G0,W10,D3,L3,V2,M2} I { convergent_lines( X, Y ), !
% 0.45/0.86 unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.45/0.86 reverse_line( Y ) ) }.
% 0.45/0.86 parent0: (451) {G0,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ),
% 0.45/0.86 ! unequally_directed_lines( X, reverse_line( Y ) ), convergent_lines( X,
% 0.45/0.86 Y ) }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := X
% 0.45/0.86 Y := Y
% 0.45/0.86 end
% 0.45/0.86 permutation0:
% 0.45/0.86 0 ==> 1
% 0.45/0.86 1 ==> 2
% 0.45/0.86 2 ==> 0
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 subsumption: (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X
% 0.45/0.86 ) }.
% 0.45/0.86 parent0: (489) {G0,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, X )
% 0.45/0.86 }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := X
% 0.45/0.86 end
% 0.45/0.86 permutation0:
% 0.45/0.86 0 ==> 0
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 subsumption: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z )
% 0.45/0.86 , unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y )
% 0.45/0.86 }.
% 0.45/0.86 parent0: (490) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.45/0.86 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := X
% 0.45/0.86 Y := Y
% 0.45/0.86 Z := Z
% 0.45/0.86 end
% 0.45/0.86 permutation0:
% 0.45/0.86 0 ==> 2
% 0.45/0.86 1 ==> 0
% 0.45/0.86 2 ==> 1
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 subsumption: (51) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y
% 0.45/0.86 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.45/0.86 left_convergent_lines( X, reverse_line( Y ) ), left_convergent_lines( X,
% 0.45/0.86 Y ) }.
% 0.45/0.86 parent0: (497) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y ),
% 0.45/0.86 ! unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines
% 0.45/0.86 ( X, Y ), left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := X
% 0.45/0.86 Y := Y
% 0.45/0.86 end
% 0.45/0.86 permutation0:
% 0.45/0.86 0 ==> 0
% 0.45/0.86 1 ==> 1
% 0.45/0.86 2 ==> 3
% 0.45/0.86 3 ==> 2
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 subsumption: (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.45/0.86 }.
% 0.45/0.86 parent0: (500) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := X
% 0.45/0.86 Y := Y
% 0.45/0.86 end
% 0.45/0.86 permutation0:
% 0.45/0.86 0 ==> 0
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 subsumption: (65) {G0,W5,D3,L1,V2,M1} I { ! unequally_directed_lines(
% 0.45/0.86 parallel_through_point( Y, X ), Y ) }.
% 0.45/0.86 parent0: (513) {G0,W5,D3,L1,V2,M1} { ! unequally_directed_lines(
% 0.45/0.86 parallel_through_point( Y, X ), Y ) }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := X
% 0.45/0.86 Y := Y
% 0.45/0.86 end
% 0.45/0.86 permutation0:
% 0.45/0.86 0 ==> 0
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 subsumption: (68) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol6, skol1 )
% 0.45/0.86 }.
% 0.45/0.86 parent0: (520) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol6, skol1 ) }.
% 0.45/0.86 substitution0:
% 0.45/0.86 end
% 0.45/0.86 permutation0:
% 0.45/0.86 0 ==> 0
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 resolution: (587) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X ),
% 0.45/0.86 ! unequally_directed_lines( X, Y ) }.
% 0.45/0.86 parent0[0]: (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X )
% 0.45/0.86 }.
% 0.45/0.86 parent1[0]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.45/0.86 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := X
% 0.45/0.86 end
% 0.45/0.86 substitution1:
% 0.45/0.86 X := X
% 0.45/0.86 Y := Y
% 0.45/0.86 Z := X
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 subsumption: (110) {G1,W6,D2,L2,V2,M2} R(44,43) { !
% 0.45/0.86 unequally_directed_lines( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.45/0.86 parent0: (587) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X ), !
% 0.45/0.86 unequally_directed_lines( X, Y ) }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := Y
% 0.45/0.86 Y := X
% 0.45/0.86 end
% 0.45/0.86 permutation0:
% 0.45/0.86 0 ==> 1
% 0.45/0.86 1 ==> 0
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 resolution: (589) {G1,W5,D3,L1,V2,M1} { ! unequally_directed_lines( X,
% 0.45/0.86 parallel_through_point( X, Y ) ) }.
% 0.45/0.86 parent0[0]: (65) {G0,W5,D3,L1,V2,M1} I { ! unequally_directed_lines(
% 0.45/0.86 parallel_through_point( Y, X ), Y ) }.
% 0.45/0.86 parent1[1]: (110) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines
% 0.45/0.86 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := Y
% 0.45/0.86 Y := X
% 0.45/0.86 end
% 0.45/0.86 substitution1:
% 0.45/0.86 X := parallel_through_point( X, Y )
% 0.45/0.86 Y := X
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 subsumption: (121) {G2,W5,D3,L1,V2,M1} R(110,65) { !
% 0.45/0.86 unequally_directed_lines( X, parallel_through_point( X, Y ) ) }.
% 0.45/0.86 parent0: (589) {G1,W5,D3,L1,V2,M1} { ! unequally_directed_lines( X,
% 0.45/0.86 parallel_through_point( X, Y ) ) }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := X
% 0.45/0.86 Y := Y
% 0.45/0.86 end
% 0.45/0.86 permutation0:
% 0.45/0.86 0 ==> 0
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 resolution: (590) {G1,W8,D3,L2,V3,M2} { unequally_directed_lines( Z,
% 0.45/0.86 parallel_through_point( X, Y ) ), ! unequally_directed_lines( X, Z ) }.
% 0.45/0.86 parent0[0]: (121) {G2,W5,D3,L1,V2,M1} R(110,65) { !
% 0.45/0.86 unequally_directed_lines( X, parallel_through_point( X, Y ) ) }.
% 0.45/0.86 parent1[0]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.45/0.86 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := X
% 0.45/0.86 Y := Y
% 0.45/0.86 end
% 0.45/0.86 substitution1:
% 0.45/0.86 X := X
% 0.45/0.86 Y := Z
% 0.45/0.86 Z := parallel_through_point( X, Y )
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 subsumption: (122) {G3,W8,D3,L2,V3,M2} R(121,44) { !
% 0.45/0.86 unequally_directed_lines( Y, X ), unequally_directed_lines( X,
% 0.45/0.86 parallel_through_point( Y, Z ) ) }.
% 0.45/0.86 parent0: (590) {G1,W8,D3,L2,V3,M2} { unequally_directed_lines( Z,
% 0.45/0.86 parallel_through_point( X, Y ) ), ! unequally_directed_lines( X, Z ) }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := Y
% 0.45/0.86 Y := Z
% 0.45/0.86 Z := X
% 0.45/0.86 end
% 0.45/0.86 permutation0:
% 0.45/0.86 0 ==> 1
% 0.45/0.86 1 ==> 0
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 resolution: (593) {G2,W8,D3,L2,V3,M2} { unequally_directed_lines(
% 0.45/0.86 parallel_through_point( Y, Z ), X ), ! unequally_directed_lines( Y, X )
% 0.45/0.86 }.
% 0.45/0.86 parent0[0]: (110) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines
% 0.45/0.86 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.45/0.86 parent1[1]: (122) {G3,W8,D3,L2,V3,M2} R(121,44) { !
% 0.45/0.86 unequally_directed_lines( Y, X ), unequally_directed_lines( X,
% 0.45/0.86 parallel_through_point( Y, Z ) ) }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := parallel_through_point( Y, Z )
% 0.45/0.86 Y := X
% 0.45/0.86 end
% 0.45/0.86 substitution1:
% 0.45/0.86 X := X
% 0.45/0.86 Y := Y
% 0.45/0.86 Z := Z
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 subsumption: (137) {G4,W8,D3,L2,V3,M2} R(122,110) {
% 0.45/0.86 unequally_directed_lines( parallel_through_point( X, Z ), Y ), !
% 0.45/0.86 unequally_directed_lines( X, Y ) }.
% 0.45/0.86 parent0: (593) {G2,W8,D3,L2,V3,M2} { unequally_directed_lines(
% 0.45/0.86 parallel_through_point( Y, Z ), X ), ! unequally_directed_lines( Y, X )
% 0.45/0.86 }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := Y
% 0.45/0.86 Y := X
% 0.45/0.86 Z := Z
% 0.45/0.86 end
% 0.45/0.86 permutation0:
% 0.45/0.86 0 ==> 0
% 0.45/0.86 1 ==> 1
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 resolution: (594) {G1,W9,D3,L2,V3,M2} { unequally_directed_lines(
% 0.45/0.86 parallel_through_point( X, Y ), reverse_line( Z ) ), ! convergent_lines(
% 0.45/0.86 X, Z ) }.
% 0.45/0.86 parent0[1]: (137) {G4,W8,D3,L2,V3,M2} R(122,110) { unequally_directed_lines
% 0.45/0.86 ( parallel_through_point( X, Z ), Y ), ! unequally_directed_lines( X, Y )
% 0.45/0.86 }.
% 0.45/0.86 parent1[1]: (4) {G0,W7,D3,L2,V2,M1} I { ! convergent_lines( X, Y ),
% 0.45/0.86 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := X
% 0.45/0.86 Y := reverse_line( Z )
% 0.45/0.86 Z := Y
% 0.45/0.86 end
% 0.45/0.86 substitution1:
% 0.45/0.86 X := X
% 0.45/0.86 Y := Z
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 subsumption: (175) {G5,W9,D3,L2,V3,M1} R(137,4) { ! convergent_lines( X, Z
% 0.45/0.86 ), unequally_directed_lines( parallel_through_point( X, Y ),
% 0.45/0.86 reverse_line( Z ) ) }.
% 0.45/0.86 parent0: (594) {G1,W9,D3,L2,V3,M2} { unequally_directed_lines(
% 0.45/0.86 parallel_through_point( X, Y ), reverse_line( Z ) ), ! convergent_lines(
% 0.45/0.86 X, Z ) }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := X
% 0.45/0.86 Y := Y
% 0.45/0.86 Z := Z
% 0.45/0.86 end
% 0.45/0.86 permutation0:
% 0.45/0.86 0 ==> 1
% 0.45/0.86 1 ==> 0
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 resolution: (595) {G1,W8,D3,L2,V3,M2} { unequally_directed_lines(
% 0.45/0.86 parallel_through_point( X, Y ), Z ), ! convergent_lines( X, Z ) }.
% 0.45/0.86 parent0[1]: (137) {G4,W8,D3,L2,V3,M2} R(122,110) { unequally_directed_lines
% 0.45/0.86 ( parallel_through_point( X, Z ), Y ), ! unequally_directed_lines( X, Y )
% 0.45/0.86 }.
% 0.45/0.86 parent1[1]: (3) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ),
% 0.45/0.86 unequally_directed_lines( X, Y ) }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := X
% 0.45/0.86 Y := Z
% 0.45/0.86 Z := Y
% 0.45/0.86 end
% 0.45/0.86 substitution1:
% 0.45/0.86 X := X
% 0.45/0.86 Y := Z
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 subsumption: (177) {G5,W8,D3,L2,V3,M1} R(137,3) { ! convergent_lines( X, Z
% 0.45/0.86 ), unequally_directed_lines( parallel_through_point( X, Y ), Z ) }.
% 0.45/0.86 parent0: (595) {G1,W8,D3,L2,V3,M2} { unequally_directed_lines(
% 0.45/0.86 parallel_through_point( X, Y ), Z ), ! convergent_lines( X, Z ) }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := X
% 0.45/0.86 Y := Y
% 0.45/0.86 Z := Z
% 0.45/0.86 end
% 0.45/0.86 permutation0:
% 0.45/0.86 0 ==> 1
% 0.45/0.86 1 ==> 0
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 resolution: (597) {G1,W14,D3,L3,V3,M3} { convergent_lines(
% 0.45/0.86 parallel_through_point( X, Y ), Z ), ! unequally_directed_lines(
% 0.45/0.86 parallel_through_point( X, Y ), reverse_line( Z ) ), ! convergent_lines(
% 0.45/0.86 X, Z ) }.
% 0.45/0.86 parent0[1]: (5) {G0,W10,D3,L3,V2,M2} I { convergent_lines( X, Y ), !
% 0.45/0.86 unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.45/0.86 reverse_line( Y ) ) }.
% 0.45/0.86 parent1[1]: (177) {G5,W8,D3,L2,V3,M1} R(137,3) { ! convergent_lines( X, Z )
% 0.45/0.86 , unequally_directed_lines( parallel_through_point( X, Y ), Z ) }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := parallel_through_point( X, Y )
% 0.45/0.86 Y := Z
% 0.45/0.86 end
% 0.45/0.86 substitution1:
% 0.45/0.86 X := X
% 0.45/0.86 Y := Y
% 0.45/0.86 Z := Z
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 resolution: (599) {G2,W11,D3,L3,V3,M3} { convergent_lines(
% 0.45/0.86 parallel_through_point( X, Y ), Z ), ! convergent_lines( X, Z ), !
% 0.45/0.86 convergent_lines( X, Z ) }.
% 0.45/0.86 parent0[1]: (597) {G1,W14,D3,L3,V3,M3} { convergent_lines(
% 0.45/0.86 parallel_through_point( X, Y ), Z ), ! unequally_directed_lines(
% 0.45/0.86 parallel_through_point( X, Y ), reverse_line( Z ) ), ! convergent_lines(
% 0.45/0.86 X, Z ) }.
% 0.45/0.86 parent1[1]: (175) {G5,W9,D3,L2,V3,M1} R(137,4) { ! convergent_lines( X, Z )
% 0.45/0.86 , unequally_directed_lines( parallel_through_point( X, Y ), reverse_line
% 0.45/0.86 ( Z ) ) }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := X
% 0.45/0.86 Y := Y
% 0.45/0.86 Z := Z
% 0.45/0.86 end
% 0.45/0.86 substitution1:
% 0.45/0.86 X := X
% 0.45/0.86 Y := Y
% 0.45/0.86 Z := Z
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 factor: (600) {G2,W8,D3,L2,V3,M2} { convergent_lines(
% 0.45/0.86 parallel_through_point( X, Y ), Z ), ! convergent_lines( X, Z ) }.
% 0.45/0.86 parent0[1, 2]: (599) {G2,W11,D3,L3,V3,M3} { convergent_lines(
% 0.45/0.86 parallel_through_point( X, Y ), Z ), ! convergent_lines( X, Z ), !
% 0.45/0.86 convergent_lines( X, Z ) }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := X
% 0.45/0.86 Y := Y
% 0.45/0.86 Z := Z
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 subsumption: (188) {G6,W8,D3,L2,V3,M2} R(177,5);r(175) { convergent_lines(
% 0.45/0.86 parallel_through_point( X, Z ), Y ), ! convergent_lines( X, Y ) }.
% 0.45/0.86 parent0: (600) {G2,W8,D3,L2,V3,M2} { convergent_lines(
% 0.45/0.86 parallel_through_point( X, Y ), Z ), ! convergent_lines( X, Z ) }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := X
% 0.45/0.86 Y := Z
% 0.45/0.86 Z := Y
% 0.45/0.86 end
% 0.45/0.86 permutation0:
% 0.45/0.86 0 ==> 0
% 0.45/0.86 1 ==> 1
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 resolution: (601) {G1,W5,D3,L1,V1,M1} { convergent_lines(
% 0.45/0.86 parallel_through_point( skol6, X ), skol1 ) }.
% 0.45/0.86 parent0[1]: (188) {G6,W8,D3,L2,V3,M2} R(177,5);r(175) { convergent_lines(
% 0.45/0.86 parallel_through_point( X, Z ), Y ), ! convergent_lines( X, Y ) }.
% 0.45/0.86 parent1[0]: (68) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol6, skol1 )
% 0.45/0.86 }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := skol6
% 0.45/0.86 Y := skol1
% 0.45/0.86 Z := X
% 0.45/0.86 end
% 0.45/0.86 substitution1:
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 subsumption: (192) {G7,W5,D3,L1,V1,M1} R(188,68) { convergent_lines(
% 0.45/0.86 parallel_through_point( skol6, X ), skol1 ) }.
% 0.45/0.86 parent0: (601) {G1,W5,D3,L1,V1,M1} { convergent_lines(
% 0.45/0.86 parallel_through_point( skol6, X ), skol1 ) }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := X
% 0.45/0.86 end
% 0.45/0.86 permutation0:
% 0.45/0.86 0 ==> 0
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 resolution: (602) {G7,W7,D4,L1,V2,M1} { convergent_lines(
% 0.45/0.86 parallel_through_point( parallel_through_point( skol6, X ), Y ), skol1 )
% 0.45/0.86 }.
% 0.45/0.86 parent0[1]: (188) {G6,W8,D3,L2,V3,M2} R(177,5);r(175) { convergent_lines(
% 0.45/0.86 parallel_through_point( X, Z ), Y ), ! convergent_lines( X, Y ) }.
% 0.45/0.86 parent1[0]: (192) {G7,W5,D3,L1,V1,M1} R(188,68) { convergent_lines(
% 0.45/0.86 parallel_through_point( skol6, X ), skol1 ) }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := parallel_through_point( skol6, X )
% 0.45/0.86 Y := skol1
% 0.45/0.86 Z := Y
% 0.45/0.86 end
% 0.45/0.86 substitution1:
% 0.45/0.86 X := X
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 subsumption: (195) {G8,W7,D4,L1,V2,M1} R(192,188) { convergent_lines(
% 0.45/0.86 parallel_through_point( parallel_through_point( skol6, X ), Y ), skol1 )
% 0.45/0.86 }.
% 0.45/0.86 parent0: (602) {G7,W7,D4,L1,V2,M1} { convergent_lines(
% 0.45/0.86 parallel_through_point( parallel_through_point( skol6, X ), Y ), skol1 )
% 0.45/0.86 }.
% 0.45/0.86 substitution0:
% 0.45/0.86 X := X
% 0.45/0.86 Y := Y
% 0.45/0.86 end
% 0.45/0.86 permutation0:
% 0.45/0.86 0 ==> 0
% 0.45/0.86 end
% 0.45/0.86
% 0.45/0.86 resolution: (603) {G1,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y
% 0.45/0.87 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.45/0.87 left_convergent_lines( X, Y ) }.
% 0.45/0.87 parent0[0]: (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.45/0.87 }.
% 0.45/0.87 parent1[2]: (51) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y
% 0.45/0.87 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.45/0.87 left_convergent_lines( X, reverse_line( Y ) ), left_convergent_lines( X,
% 0.45/0.87 Y ) }.
% 0.45/0.87 substitution0:
% 0.45/0.87 X := X
% 0.45/0.87 Y := reverse_line( Y )
% 0.45/0.87 end
% 0.45/0.87 substitution1:
% 0.45/0.87 X := X
% 0.45/0.87 Y := Y
% 0.45/0.87 end
% 0.45/0.87
% 0.45/0.87 resolution: (605) {G1,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, Y )
% 0.45/0.87 , ! unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.45/0.87 parent0[0]: (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.45/0.87 }.
% 0.45/0.87 parent1[2]: (603) {G1,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y
% 0.45/0.87 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.45/0.87 left_convergent_lines( X, Y ) }.
% 0.45/0.87 substitution0:
% 0.45/0.87 X := X
% 0.45/0.87 Y := Y
% 0.45/0.87 end
% 0.45/0.87 substitution1:
% 0.45/0.87 X := X
% 0.45/0.87 Y := Y
% 0.45/0.87 end
% 0.45/0.87
% 0.45/0.87 subsumption: (406) {G1,W7,D3,L2,V2,M2} S(51);r(53);r(53) { !
% 0.45/0.87 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.45/0.87 unequally_directed_lines( X, Y ) }.
% 0.45/0.87 parent0: (605) {G1,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, Y ), !
% 0.45/0.87 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.45/0.87 substitution0:
% 0.45/0.87 X := X
% 0.45/0.87 Y := Y
% 0.45/0.87 end
% 0.45/0.87 permutation0:
% 0.45/0.87 0 ==> 1
% 0.45/0.87 1 ==> 0
% 0.45/0.87 end
% 0.45/0.87
% 0.45/0.87 resolution: (607) {G2,W9,D3,L2,V3,M2} { ! unequally_directed_lines(
% 0.45/0.87 parallel_through_point( X, Y ), reverse_line( Z ) ), ! convergent_lines(
% 0.45/0.87 X, Z ) }.
% 0.45/0.87 parent0[1]: (406) {G1,W7,D3,L2,V2,M2} S(51);r(53);r(53) { !
% 0.45/0.87 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.45/0.87 unequally_directed_lines( X, Y ) }.
% 0.45/0.87 parent1[1]: (177) {G5,W8,D3,L2,V3,M1} R(137,3) { ! convergent_lines( X, Z )
% 0.45/0.87 , unequally_directed_lines( parallel_through_point( X, Y ), Z ) }.
% 0.45/0.87 substitution0:
% 0.45/0.87 X := parallel_through_point( X, Y )
% 0.45/0.87 Y := Z
% 0.45/0.87 end
% 0.45/0.87 substitution1:
% 0.45/0.87 X := X
% 0.45/0.87 Y := Y
% 0.45/0.87 Z := Z
% 0.45/0.87 end
% 0.45/0.87
% 0.45/0.87 resolution: (608) {G3,W6,D2,L2,V2,M2} { ! convergent_lines( X, Z ), !
% 0.45/0.87 convergent_lines( X, Z ) }.
% 0.45/0.87 parent0[0]: (607) {G2,W9,D3,L2,V3,M2} { ! unequally_directed_lines(
% 0.45/0.87 parallel_through_point( X, Y ), reverse_line( Z ) ), ! convergent_lines(
% 0.45/0.87 X, Z ) }.
% 0.45/0.87 parent1[1]: (175) {G5,W9,D3,L2,V3,M1} R(137,4) { ! convergent_lines( X, Z )
% 0.45/0.87 , unequally_directed_lines( parallel_through_point( X, Y ), reverse_line
% 0.45/0.87 ( Z ) ) }.
% 0.45/0.87 substitution0:
% 0.45/0.87 X := X
% 0.45/0.87 Y := Y
% 0.45/0.87 Z := Z
% 0.45/0.87 end
% 0.45/0.87 substitution1:
% 0.45/0.87 X := X
% 0.45/0.87 Y := Y
% 0.45/0.87 Z := Z
% 0.45/0.87 end
% 0.45/0.87
% 0.45/0.87 factor: (609) {G3,W3,D2,L1,V2,M1} { ! convergent_lines( X, Y ) }.
% 0.45/0.87 parent0[0, 1]: (608) {G3,W6,D2,L2,V2,M2} { ! convergent_lines( X, Z ), !
% 0.45/0.87 convergent_lines( X, Z ) }.
% 0.45/0.87 substitution0:
% 0.45/0.87 X := X
% 0.45/0.87 Y := Z
% 0.45/0.87 Z := Y
% 0.45/0.87 end
% 0.45/0.87
% 0.45/0.87 subsumption: (430) {G6,W3,D2,L1,V2,M1} R(406,177);r(175) { !
% 0.45/0.87 convergent_lines( X, Z ) }.
% 0.45/0.87 parent0: (609) {G3,W3,D2,L1,V2,M1} { ! convergent_lines( X, Y ) }.
% 0.45/0.87 substitution0:
% 0.45/0.87 X := X
% 0.45/0.87 Y := Z
% 0.45/0.87 end
% 0.45/0.87 permutation0:
% 0.45/0.87 0 ==> 0
% 0.45/0.87 end
% 0.45/0.87
% 0.45/0.87 resolution: (610) {G7,W0,D0,L0,V0,M0} { }.
% 0.45/0.87 parent0[0]: (430) {G6,W3,D2,L1,V2,M1} R(406,177);r(175) { !
% 0.45/0.87 convergent_lines( X, Z ) }.
% 0.45/0.87 parent1[0]: (195) {G8,W7,D4,L1,V2,M1} R(192,188) { convergent_lines(
% 0.45/0.87 parallel_through_point( parallel_through_point( skol6, X ), Y ), skol1 )
% 0.45/0.87 }.
% 0.45/0.87 substitution0:
% 0.45/0.87 X := parallel_through_point( parallel_through_point( skol6, X ), Y )
% 0.45/0.87 Y := Z
% 0.45/0.87 Z := skol1
% 0.45/0.87 end
% 0.45/0.87 substitution1:
% 0.45/0.87 X := X
% 0.45/0.87 Y := Y
% 0.45/0.87 end
% 0.45/0.87
% 0.45/0.87 subsumption: (444) {G9,W0,D0,L0,V0,M0} R(430,195) { }.
% 0.45/0.87 parent0: (610) {G7,W0,D0,L0,V0,M0} { }.
% 0.45/0.87 substitution0:
% 0.45/0.87 end
% 0.45/0.87 permutation0:
% 0.45/0.87 end
% 0.45/0.87
% 0.45/0.87 Proof check complete!
% 0.45/0.87
% 0.45/0.87 Memory use:
% 0.45/0.87
% 0.45/0.87 space for terms: 6505
% 0.45/0.87 space for clauses: 22616
% 0.45/0.87
% 0.45/0.87
% 0.45/0.87 clauses generated: 1211
% 0.45/0.87 clauses kept: 445
% 0.45/0.87 clauses selected: 126
% 0.45/0.87 clauses deleted: 22
% 0.45/0.87 clauses inuse deleted: 0
% 0.45/0.87
% 0.45/0.87 subsentry: 6308
% 0.45/0.87 literals s-matched: 3418
% 0.45/0.87 literals matched: 3368
% 0.45/0.87 full subsumption: 806
% 0.45/0.87
% 0.45/0.87 checksum: -1041554330
% 0.45/0.87
% 0.45/0.87
% 0.45/0.87 Bliksem ended
%------------------------------------------------------------------------------