TSTP Solution File: GEO259+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO259+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 0.70s 1.11s
% Output : Refutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO259+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Fri Jun 17 23:19:57 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.70/1.10 *** allocated 10000 integers for termspace/termends
% 0.70/1.10 *** allocated 10000 integers for clauses
% 0.70/1.10 *** allocated 10000 integers for justifications
% 0.70/1.10 Bliksem 1.12
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Automatic Strategy Selection
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Clauses:
% 0.70/1.10
% 0.70/1.10 { ! apart_point_and_line( X, Y ), left_apart_point( X, Y ),
% 0.70/1.10 left_apart_point( X, reverse_line( Y ) ) }.
% 0.70/1.10 { ! left_apart_point( X, Y ), apart_point_and_line( X, Y ) }.
% 0.70/1.10 { ! left_apart_point( X, reverse_line( Y ) ), apart_point_and_line( X, Y )
% 0.70/1.10 }.
% 0.70/1.10 { ! convergent_lines( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.70/1.10 { ! convergent_lines( X, Y ), unequally_directed_lines( X, reverse_line( Y
% 0.70/1.10 ) ) }.
% 0.70/1.10 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.70/1.10 reverse_line( Y ) ), convergent_lines( X, Y ) }.
% 0.70/1.10 { ! divides_points( Z, X, Y ), alpha1( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.70/1.10 { ! alpha1( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.70/1.10 { ! alpha4( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.70/1.10 { ! alpha4( X, Y, Z ), left_apart_point( X, reverse_line( Z ) ) }.
% 0.70/1.10 { ! alpha4( X, Y, Z ), left_apart_point( Y, Z ) }.
% 0.70/1.10 { ! left_apart_point( X, reverse_line( Z ) ), ! left_apart_point( Y, Z ),
% 0.70/1.10 alpha4( X, Y, Z ) }.
% 0.70/1.10 { ! alpha1( X, Y, Z ), left_apart_point( X, Z ) }.
% 0.70/1.10 { ! alpha1( X, Y, Z ), left_apart_point( Y, reverse_line( Z ) ) }.
% 0.70/1.10 { ! left_apart_point( X, Z ), ! left_apart_point( Y, reverse_line( Z ) ),
% 0.70/1.10 alpha1( X, Y, Z ) }.
% 0.70/1.10 { ! before_on_line( X, Y, Z ), distinct_points( Y, Z ) }.
% 0.70/1.10 { ! before_on_line( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.70/1.10 { ! distinct_points( Y, Z ), ! alpha7( X, Y, Z ), before_on_line( X, Y, Z )
% 0.70/1.10 }.
% 0.70/1.10 { ! alpha7( X, Y, Z ), alpha2( X, Y ) }.
% 0.70/1.10 { ! alpha7( X, Y, Z ), alpha8( X, Y, Z ) }.
% 0.70/1.10 { ! alpha2( X, Y ), ! alpha8( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.70/1.10 { ! alpha8( X, Y, Z ), alpha5( X, Z ) }.
% 0.70/1.10 { ! alpha8( X, Y, Z ), ! unequally_directed_lines( X, line_connecting( Y, Z
% 0.70/1.10 ) ) }.
% 0.70/1.10 { ! alpha5( X, Z ), unequally_directed_lines( X, line_connecting( Y, Z ) )
% 0.70/1.10 , alpha8( X, Y, Z ) }.
% 0.70/1.10 { ! alpha5( X, Y ), ! left_apart_point( Y, X ) }.
% 0.70/1.10 { ! alpha5( X, Y ), ! left_apart_point( Y, reverse_line( X ) ) }.
% 0.70/1.10 { left_apart_point( Y, X ), left_apart_point( Y, reverse_line( X ) ),
% 0.70/1.10 alpha5( X, Y ) }.
% 0.70/1.10 { ! alpha2( X, Y ), ! left_apart_point( Y, X ) }.
% 0.70/1.10 { ! alpha2( X, Y ), ! left_apart_point( Y, reverse_line( X ) ) }.
% 0.70/1.10 { left_apart_point( Y, X ), left_apart_point( Y, reverse_line( X ) ),
% 0.70/1.10 alpha2( X, Y ) }.
% 0.70/1.10 { ! between_on_line( X, Y, Z, T ), alpha3( X, Y, Z, T ), alpha6( X, Y, Z, T
% 0.70/1.10 ) }.
% 0.70/1.10 { ! alpha3( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.70/1.10 { ! alpha6( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.70/1.10 { ! alpha6( X, Y, Z, T ), before_on_line( X, T, Z ) }.
% 0.70/1.10 { ! alpha6( X, Y, Z, T ), before_on_line( X, Z, Y ) }.
% 0.70/1.10 { ! before_on_line( X, T, Z ), ! before_on_line( X, Z, Y ), alpha6( X, Y, Z
% 0.70/1.10 , T ) }.
% 0.70/1.10 { ! alpha3( X, Y, Z, T ), before_on_line( X, Y, Z ) }.
% 0.70/1.10 { ! alpha3( X, Y, Z, T ), before_on_line( X, Z, T ) }.
% 0.70/1.10 { ! before_on_line( X, Y, Z ), ! before_on_line( X, Z, T ), alpha3( X, Y, Z
% 0.70/1.10 , T ) }.
% 0.70/1.10 { ! distinct_points( X, X ) }.
% 0.70/1.10 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.70/1.10 ) }.
% 0.70/1.10 { ! distinct_lines( X, X ) }.
% 0.70/1.10 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.70/1.10 }.
% 0.70/1.10 { ! unequally_directed_lines( X, X ) }.
% 0.70/1.10 { ! unequally_directed_lines( X, Y ), unequally_directed_lines( X, Z ),
% 0.70/1.10 unequally_directed_lines( Y, Z ) }.
% 0.70/1.10 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.70/1.10 reverse_line( Y ) ), alpha9( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.70/1.10 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.70/1.10 reverse_line( Y ) ), alpha9( X, Z ), unequally_directed_lines( Y,
% 0.70/1.10 reverse_line( Z ) ) }.
% 0.70/1.10 { ! alpha9( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.70/1.10 { ! alpha9( X, Y ), unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.70/1.10 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.70/1.10 reverse_line( Y ) ), alpha9( X, Y ) }.
% 0.70/1.10 { ! line( X ), ! line( Y ), unequally_directed_lines( X, Y ),
% 0.70/1.10 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.70/1.10 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.70/1.10 reverse_line( Y ) ), left_convergent_lines( X, Y ), left_convergent_lines
% 0.70/1.10 ( X, reverse_line( Y ) ) }.
% 0.70/1.10 { ! left_apart_point( X, Y ) }.
% 0.70/1.10 { ! left_apart_point( X, reverse_line( Y ) ) }.
% 0.70/1.10 { ! left_convergent_lines( X, Y ) }.
% 0.70/1.10 { ! left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.70/1.10 { ! point( X ), ! point( Y ), ! distinct_points( X, Y ), line(
% 0.70/1.10 line_connecting( X, Y ) ) }.
% 0.70/1.10 { ! line( X ), ! line( Y ), ! unequally_directed_lines( X, Y ), !
% 0.70/1.10 unequally_directed_lines( X, reverse_line( Y ) ), point(
% 0.70/1.10 intersection_point( X, Y ) ) }.
% 0.70/1.10 { ! point( Y ), ! line( X ), line( parallel_through_point( X, Y ) ) }.
% 0.70/1.10 { ! line( X ), line( reverse_line( X ) ) }.
% 0.70/1.10 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 0.70/1.10 , Y ) ) }.
% 0.70/1.10 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 0.70/1.10 , Y ) ) }.
% 0.70/1.10 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.70/1.10 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 0.70/1.10 X ) }.
% 0.70/1.10 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.70/1.10 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 0.70/1.10 Y ) }.
% 0.70/1.10 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 0.70/1.10 { ! distinct_lines( X, reverse_line( X ) ) }.
% 0.70/1.10 { ! unequally_directed_lines( line_connecting( X, Y ), reverse_line(
% 0.70/1.10 line_connecting( Y, X ) ) ) }.
% 0.70/1.10 { ! unequally_directed_lines( parallel_through_point( Y, X ), Y ) }.
% 0.70/1.10 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), left_apart_point( X
% 0.70/1.10 , Z ), left_apart_point( Y, Z ), left_apart_point( X, T ),
% 0.70/1.10 left_apart_point( Y, T ), left_apart_point( X, reverse_line( Z ) ),
% 0.70/1.10 left_apart_point( Y, reverse_line( Z ) ), left_apart_point( X,
% 0.70/1.10 reverse_line( T ) ), left_apart_point( Y, reverse_line( T ) ) }.
% 0.70/1.10 { ! distinct_points( X, Y ), ! left_apart_point( X, Z ), left_apart_point(
% 0.70/1.10 Y, Z ), left_convergent_lines( line_connecting( X, Y ), Z ) }.
% 0.70/1.10 { ! left_apart_point( X, Y ), distinct_points( X, Z ), left_apart_point( Z
% 0.70/1.10 , Y ) }.
% 0.70/1.10 { ! left_apart_point( X, Y ), ! unequally_directed_lines( Y, Z ),
% 0.70/1.10 distinct_lines( Y, Z ), left_apart_point( X, reverse_line( Z ) ) }.
% 0.70/1.10 { ! left_convergent_lines( X, Y ), unequally_directed_lines( Y, Z ),
% 0.70/1.10 left_convergent_lines( X, Z ) }.
% 0.70/1.10 { line( skol1 ) }.
% 0.70/1.10 { distinct_points( skol2, skol4 ) }.
% 0.70/1.10 { distinct_points( skol3, skol4 ) }.
% 0.70/1.10 { distinct_points( skol2, skol3 ) }.
% 0.70/1.10 { between_on_line( skol1, skol2, skol3, skol4 ) }.
% 0.70/1.10 { between_on_line( skol1, skol3, skol2, skol4 ) }.
% 0.70/1.10
% 0.70/1.10 percentage equality = 0.000000, percentage horn = 0.808219
% 0.70/1.10 This a non-horn, non-equality problem
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Options Used:
% 0.70/1.10
% 0.70/1.10 useres = 1
% 0.70/1.10 useparamod = 0
% 0.70/1.10 useeqrefl = 0
% 0.70/1.10 useeqfact = 0
% 0.70/1.10 usefactor = 1
% 0.70/1.10 usesimpsplitting = 0
% 0.70/1.10 usesimpdemod = 0
% 0.70/1.10 usesimpres = 3
% 0.70/1.10
% 0.70/1.10 resimpinuse = 1000
% 0.70/1.10 resimpclauses = 20000
% 0.70/1.10 substype = standard
% 0.70/1.10 backwardsubs = 1
% 0.70/1.10 selectoldest = 5
% 0.70/1.10
% 0.70/1.10 litorderings [0] = split
% 0.70/1.10 litorderings [1] = liftord
% 0.70/1.10
% 0.70/1.10 termordering = none
% 0.70/1.10
% 0.70/1.10 litapriori = 1
% 0.70/1.10 termapriori = 0
% 0.70/1.10 litaposteriori = 0
% 0.70/1.10 termaposteriori = 0
% 0.70/1.10 demodaposteriori = 0
% 0.70/1.10 ordereqreflfact = 0
% 0.70/1.10
% 0.70/1.10 litselect = none
% 0.70/1.10
% 0.70/1.10 maxweight = 15
% 0.70/1.10 maxdepth = 30000
% 0.70/1.11 maxlength = 115
% 0.70/1.11 maxnrvars = 195
% 0.70/1.11 excuselevel = 1
% 0.70/1.11 increasemaxweight = 1
% 0.70/1.11
% 0.70/1.11 maxselected = 10000000
% 0.70/1.11 maxnrclauses = 10000000
% 0.70/1.11
% 0.70/1.11 showgenerated = 0
% 0.70/1.11 showkept = 0
% 0.70/1.11 showselected = 0
% 0.70/1.11 showdeleted = 0
% 0.70/1.11 showresimp = 1
% 0.70/1.11 showstatus = 2000
% 0.70/1.11
% 0.70/1.11 prologoutput = 0
% 0.70/1.11 nrgoals = 5000000
% 0.70/1.11 totalproof = 1
% 0.70/1.11
% 0.70/1.11 Symbols occurring in the translation:
% 0.70/1.11
% 0.70/1.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.70/1.11 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.70/1.11 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.70/1.11 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.11 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.70/1.11 apart_point_and_line [37, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.70/1.11 left_apart_point [38, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.70/1.11 reverse_line [39, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.70/1.11 convergent_lines [41, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.70/1.11 unequally_directed_lines [42, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.70/1.11 divides_points [44, 3] (w:1, o:61, a:1, s:1, b:0),
% 0.70/1.11 before_on_line [45, 3] (w:1, o:66, a:1, s:1, b:0),
% 0.70/1.11 distinct_points [46, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.70/1.11 line_connecting [47, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.70/1.11 between_on_line [49, 4] (w:1, o:69, a:1, s:1, b:0),
% 0.70/1.11 distinct_lines [50, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.70/1.11 line [52, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.70/1.11 left_convergent_lines [53, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.70/1.11 point [54, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.70/1.11 intersection_point [55, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.70/1.11 parallel_through_point [56, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.70/1.11 alpha1 [57, 3] (w:1, o:62, a:1, s:1, b:0),
% 0.70/1.11 alpha2 [58, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.70/1.11 alpha3 [59, 4] (w:1, o:67, a:1, s:1, b:0),
% 0.70/1.11 alpha4 [60, 3] (w:1, o:63, a:1, s:1, b:0),
% 0.70/1.11 alpha5 [61, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.70/1.11 alpha6 [62, 4] (w:1, o:68, a:1, s:1, b:0),
% 0.70/1.11 alpha7 [63, 3] (w:1, o:64, a:1, s:1, b:0),
% 0.70/1.11 alpha8 [64, 3] (w:1, o:65, a:1, s:1, b:0),
% 0.70/1.11 alpha9 [65, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.70/1.11 skol1 [66, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.70/1.11 skol2 [67, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.70/1.11 skol3 [68, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.70/1.11 skol4 [69, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 Starting Search:
% 0.70/1.11
% 0.70/1.11 *** allocated 15000 integers for clauses
% 0.70/1.11 *** allocated 22500 integers for clauses
% 0.70/1.11 *** allocated 33750 integers for clauses
% 0.70/1.11
% 0.70/1.11 Bliksems!, er is een bewijs:
% 0.70/1.11 % SZS status Theorem
% 0.70/1.11 % SZS output start Refutation
% 0.70/1.11
% 0.70/1.11 (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X ) }.
% 0.70/1.11 (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.70/1.11 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.70/1.11 (50) {G0,W11,D3,L4,V2,M2} I { ! line( X ), ! line( Y ),
% 0.70/1.11 unequally_directed_lines( X, reverse_line( Y ) ),
% 0.70/1.11 unequally_directed_lines( X, Y ) }.
% 0.70/1.11 (51) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y ), !
% 0.70/1.11 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 0.70/1.11 X, reverse_line( Y ) ), left_convergent_lines( X, Y ) }.
% 0.70/1.11 (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y ) }.
% 0.70/1.11 (57) {G0,W5,D3,L2,V1,M2} I { line( reverse_line( X ) ), ! line( X ) }.
% 0.70/1.11 (64) {G0,W8,D4,L1,V2,M1} I { ! unequally_directed_lines( line_connecting( X
% 0.70/1.11 , Y ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.70/1.11 (65) {G0,W5,D3,L1,V2,M1} I { ! unequally_directed_lines(
% 0.70/1.11 parallel_through_point( Y, X ), Y ) }.
% 0.70/1.11 (67) {G0,W2,D2,L1,V0,M1} I { line( skol1 ) }.
% 0.70/1.11 (75) {G1,W6,D3,L2,V1,M1} F(50);r(43) { ! line( X ),
% 0.70/1.11 unequally_directed_lines( X, reverse_line( X ) ) }.
% 0.70/1.11 (77) {G1,W6,D4,L2,V1,M2} R(57,57) { line( reverse_line( reverse_line( X ) )
% 0.70/1.11 ), ! line( X ) }.
% 0.70/1.11 (78) {G1,W3,D3,L1,V0,M1} R(57,67) { line( reverse_line( skol1 ) ) }.
% 0.70/1.11 (79) {G2,W4,D4,L1,V0,M1} R(78,57) { line( reverse_line( reverse_line( skol1
% 0.70/1.11 ) ) ) }.
% 0.70/1.11 (82) {G3,W5,D5,L1,V0,M1} R(79,57) { line( reverse_line( reverse_line(
% 0.70/1.11 reverse_line( skol1 ) ) ) ) }.
% 0.70/1.11 (83) {G4,W6,D6,L1,V0,M1} R(82,57) { line( reverse_line( reverse_line(
% 0.70/1.11 reverse_line( reverse_line( skol1 ) ) ) ) ) }.
% 0.70/1.11 (92) {G5,W8,D8,L1,V0,M1} R(83,77) { line( reverse_line( reverse_line(
% 0.70/1.11 reverse_line( reverse_line( reverse_line( reverse_line( skol1 ) ) ) ) ) )
% 0.70/1.11 ) }.
% 0.70/1.11 (122) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines( Y, X ),
% 0.70/1.11 unequally_directed_lines( X, Y ) }.
% 0.70/1.11 (133) {G2,W5,D3,L1,V2,M1} R(122,65) { ! unequally_directed_lines( X,
% 0.70/1.11 parallel_through_point( X, Y ) ) }.
% 0.70/1.11 (134) {G3,W8,D3,L2,V3,M2} R(133,44) { ! unequally_directed_lines( Y, X ),
% 0.70/1.11 unequally_directed_lines( X, parallel_through_point( Y, Z ) ) }.
% 0.70/1.11 (152) {G4,W8,D3,L2,V2,M1} R(134,75) { ! line( X ), unequally_directed_lines
% 0.70/1.11 ( reverse_line( X ), parallel_through_point( X, Y ) ) }.
% 0.70/1.11 (379) {G1,W7,D3,L2,V2,M2} S(51);r(53);r(53) { ! unequally_directed_lines( X
% 0.70/1.11 , reverse_line( Y ) ), ! unequally_directed_lines( X, Y ) }.
% 0.70/1.11 (409) {G2,W7,D3,L2,V2,M2} R(379,122) { ! unequally_directed_lines( Y, X ),
% 0.70/1.11 ! unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.70/1.11 (479) {G3,W10,D3,L3,V3,M3} R(409,44) { unequally_directed_lines( Z,
% 0.70/1.11 reverse_line( X ) ), ! unequally_directed_lines( Z, Y ), !
% 0.70/1.11 unequally_directed_lines( X, Y ) }.
% 0.70/1.11 (480) {G4,W7,D3,L2,V2,M2} F(479) { ! unequally_directed_lines( X, Y ),
% 0.70/1.11 unequally_directed_lines( X, reverse_line( X ) ) }.
% 0.70/1.11 (499) {G5,W5,D3,L1,V2,M1} R(480,64) { ! unequally_directed_lines(
% 0.70/1.11 line_connecting( X, X ), Y ) }.
% 0.70/1.11 (504) {G6,W5,D3,L1,V2,M1} R(499,134) { ! unequally_directed_lines( X,
% 0.70/1.11 line_connecting( Y, Y ) ) }.
% 0.70/1.11 (505) {G7,W3,D2,L1,V2,M1} R(504,44);r(504) { ! unequally_directed_lines( Z
% 0.70/1.11 , X ) }.
% 0.70/1.11 (507) {G8,W2,D2,L1,V1,M1} R(505,152) { ! line( X ) }.
% 0.70/1.11 (508) {G9,W0,D0,L0,V0,M0} R(507,92) { }.
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 % SZS output end Refutation
% 0.70/1.11 found a proof!
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 Unprocessed initial clauses:
% 0.70/1.11
% 0.70/1.11 (510) {G0,W10,D3,L3,V2,M3} { ! apart_point_and_line( X, Y ),
% 0.70/1.11 left_apart_point( X, Y ), left_apart_point( X, reverse_line( Y ) ) }.
% 0.70/1.11 (511) {G0,W6,D2,L2,V2,M2} { ! left_apart_point( X, Y ),
% 0.70/1.11 apart_point_and_line( X, Y ) }.
% 0.70/1.11 (512) {G0,W7,D3,L2,V2,M2} { ! left_apart_point( X, reverse_line( Y ) ),
% 0.70/1.11 apart_point_and_line( X, Y ) }.
% 0.70/1.11 (513) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.70/1.11 unequally_directed_lines( X, Y ) }.
% 0.70/1.11 (514) {G0,W7,D3,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.70/1.11 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.70/1.11 (515) {G0,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.70/1.11 unequally_directed_lines( X, reverse_line( Y ) ), convergent_lines( X, Y
% 0.70/1.11 ) }.
% 0.70/1.11 (516) {G0,W12,D2,L3,V3,M3} { ! divides_points( Z, X, Y ), alpha1( X, Y, Z
% 0.70/1.11 ), alpha4( X, Y, Z ) }.
% 0.70/1.11 (517) {G0,W8,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), divides_points( Z, X, Y )
% 0.70/1.11 }.
% 0.70/1.11 (518) {G0,W8,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), divides_points( Z, X, Y )
% 0.70/1.11 }.
% 0.70/1.11 (519) {G0,W8,D3,L2,V3,M2} { ! alpha4( X, Y, Z ), left_apart_point( X,
% 0.70/1.11 reverse_line( Z ) ) }.
% 0.70/1.11 (520) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), left_apart_point( Y, Z )
% 0.70/1.11 }.
% 0.70/1.11 (521) {G0,W11,D3,L3,V3,M3} { ! left_apart_point( X, reverse_line( Z ) ), !
% 0.70/1.11 left_apart_point( Y, Z ), alpha4( X, Y, Z ) }.
% 0.70/1.11 (522) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), left_apart_point( X, Z )
% 0.70/1.11 }.
% 0.70/1.11 (523) {G0,W8,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), left_apart_point( Y,
% 0.70/1.11 reverse_line( Z ) ) }.
% 0.70/1.11 (524) {G0,W11,D3,L3,V3,M3} { ! left_apart_point( X, Z ), !
% 0.70/1.11 left_apart_point( Y, reverse_line( Z ) ), alpha1( X, Y, Z ) }.
% 0.70/1.11 (525) {G0,W7,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), distinct_points(
% 0.70/1.11 Y, Z ) }.
% 0.70/1.11 (526) {G0,W8,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), alpha7( X, Y, Z )
% 0.70/1.11 }.
% 0.70/1.11 (527) {G0,W11,D2,L3,V3,M3} { ! distinct_points( Y, Z ), ! alpha7( X, Y, Z
% 0.70/1.11 ), before_on_line( X, Y, Z ) }.
% 0.70/1.11 (528) {G0,W7,D2,L2,V3,M2} { ! alpha7( X, Y, Z ), alpha2( X, Y ) }.
% 0.70/1.11 (529) {G0,W8,D2,L2,V3,M2} { ! alpha7( X, Y, Z ), alpha8( X, Y, Z ) }.
% 0.70/1.11 (530) {G0,W11,D2,L3,V3,M3} { ! alpha2( X, Y ), ! alpha8( X, Y, Z ), alpha7
% 0.70/1.11 ( X, Y, Z ) }.
% 0.70/1.11 (531) {G0,W7,D2,L2,V3,M2} { ! alpha8( X, Y, Z ), alpha5( X, Z ) }.
% 0.70/1.11 (532) {G0,W9,D3,L2,V3,M2} { ! alpha8( X, Y, Z ), !
% 0.70/1.11 unequally_directed_lines( X, line_connecting( Y, Z ) ) }.
% 0.70/1.11 (533) {G0,W12,D3,L3,V3,M3} { ! alpha5( X, Z ), unequally_directed_lines( X
% 0.70/1.11 , line_connecting( Y, Z ) ), alpha8( X, Y, Z ) }.
% 0.70/1.11 (534) {G0,W6,D2,L2,V2,M2} { ! alpha5( X, Y ), ! left_apart_point( Y, X )
% 0.70/1.11 }.
% 0.70/1.11 (535) {G0,W7,D3,L2,V2,M2} { ! alpha5( X, Y ), ! left_apart_point( Y,
% 0.70/1.11 reverse_line( X ) ) }.
% 0.70/1.11 (536) {G0,W10,D3,L3,V2,M3} { left_apart_point( Y, X ), left_apart_point( Y
% 0.70/1.11 , reverse_line( X ) ), alpha5( X, Y ) }.
% 0.70/1.11 (537) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), ! left_apart_point( Y, X )
% 0.70/1.11 }.
% 0.70/1.11 (538) {G0,W7,D3,L2,V2,M2} { ! alpha2( X, Y ), ! left_apart_point( Y,
% 0.70/1.11 reverse_line( X ) ) }.
% 0.70/1.11 (539) {G0,W10,D3,L3,V2,M3} { left_apart_point( Y, X ), left_apart_point( Y
% 0.70/1.11 , reverse_line( X ) ), alpha2( X, Y ) }.
% 0.70/1.11 (540) {G0,W15,D2,L3,V4,M3} { ! between_on_line( X, Y, Z, T ), alpha3( X, Y
% 0.70/1.11 , Z, T ), alpha6( X, Y, Z, T ) }.
% 0.70/1.11 (541) {G0,W10,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), between_on_line( X, Y
% 0.70/1.11 , Z, T ) }.
% 0.70/1.11 (542) {G0,W10,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), between_on_line( X, Y
% 0.70/1.11 , Z, T ) }.
% 0.70/1.11 (543) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, T,
% 0.70/1.11 Z ) }.
% 0.70/1.11 (544) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, Z,
% 0.70/1.11 Y ) }.
% 0.70/1.11 (545) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, T, Z ), ! before_on_line
% 0.70/1.11 ( X, Z, Y ), alpha6( X, Y, Z, T ) }.
% 0.70/1.11 (546) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Y,
% 0.70/1.11 Z ) }.
% 0.70/1.11 (547) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Z,
% 0.70/1.11 T ) }.
% 0.70/1.11 (548) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, Y, Z ), ! before_on_line
% 0.70/1.11 ( X, Z, T ), alpha3( X, Y, Z, T ) }.
% 0.70/1.11 (549) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.70/1.11 (550) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.70/1.11 , Z ), distinct_points( Y, Z ) }.
% 0.70/1.11 (551) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.70/1.11 (552) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 0.70/1.11 ), distinct_lines( Y, Z ) }.
% 0.70/1.11 (553) {G0,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, X ) }.
% 0.70/1.11 (554) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.70/1.11 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.70/1.11 (555) {G0,W13,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 0.70/1.11 unequally_directed_lines( X, reverse_line( Y ) ), alpha9( X, Z ),
% 0.70/1.11 unequally_directed_lines( Y, Z ) }.
% 0.70/1.11 (556) {G0,W14,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 0.70/1.11 unequally_directed_lines( X, reverse_line( Y ) ), alpha9( X, Z ),
% 0.70/1.11 unequally_directed_lines( Y, reverse_line( Z ) ) }.
% 0.70/1.11 (557) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), unequally_directed_lines( X
% 0.70/1.11 , Y ) }.
% 0.70/1.11 (558) {G0,W7,D3,L2,V2,M2} { ! alpha9( X, Y ), unequally_directed_lines( X
% 0.70/1.11 , reverse_line( Y ) ) }.
% 0.70/1.11 (559) {G0,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.70/1.11 unequally_directed_lines( X, reverse_line( Y ) ), alpha9( X, Y ) }.
% 0.70/1.11 (560) {G0,W11,D3,L4,V2,M4} { ! line( X ), ! line( Y ),
% 0.70/1.11 unequally_directed_lines( X, Y ), unequally_directed_lines( X,
% 0.70/1.11 reverse_line( Y ) ) }.
% 0.70/1.11 (561) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y ), !
% 0.70/1.11 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 0.70/1.11 X, Y ), left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.70/1.11 (562) {G0,W3,D2,L1,V2,M1} { ! left_apart_point( X, Y ) }.
% 0.70/1.11 (563) {G0,W4,D3,L1,V2,M1} { ! left_apart_point( X, reverse_line( Y ) ) }.
% 0.70/1.11 (564) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 0.70/1.11 (565) {G0,W4,D3,L1,V2,M1} { ! left_convergent_lines( X, reverse_line( Y )
% 0.70/1.11 ) }.
% 0.70/1.11 (566) {G0,W11,D3,L4,V2,M4} { ! point( X ), ! point( Y ), ! distinct_points
% 0.70/1.11 ( X, Y ), line( line_connecting( X, Y ) ) }.
% 0.70/1.11 (567) {G0,W15,D3,L5,V2,M5} { ! line( X ), ! line( Y ), !
% 0.70/1.11 unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.70/1.11 reverse_line( Y ) ), point( intersection_point( X, Y ) ) }.
% 0.70/1.11 (568) {G0,W8,D3,L3,V2,M3} { ! point( Y ), ! line( X ), line(
% 0.70/1.11 parallel_through_point( X, Y ) ) }.
% 0.70/1.11 (569) {G0,W5,D3,L2,V1,M2} { ! line( X ), line( reverse_line( X ) ) }.
% 0.70/1.11 (570) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.70/1.11 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.70/1.11 (571) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.70/1.11 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.70/1.11 (572) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.70/1.11 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 0.70/1.11 ( intersection_point( X, Y ), X ) }.
% 0.70/1.11 (573) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.70/1.11 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 0.70/1.11 ( intersection_point( X, Y ), Y ) }.
% 0.70/1.11 (574) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 0.70/1.11 parallel_through_point( Y, X ) ) }.
% 0.70/1.11 (575) {G0,W4,D3,L1,V1,M1} { ! distinct_lines( X, reverse_line( X ) ) }.
% 0.70/1.11 (576) {G0,W8,D4,L1,V2,M1} { ! unequally_directed_lines( line_connecting( X
% 0.70/1.11 , Y ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.70/1.11 (577) {G0,W5,D3,L1,V2,M1} { ! unequally_directed_lines(
% 0.70/1.11 parallel_through_point( Y, X ), Y ) }.
% 0.70/1.11 (578) {G0,W34,D3,L10,V4,M10} { ! distinct_points( X, Y ), ! distinct_lines
% 0.70/1.11 ( Z, T ), left_apart_point( X, Z ), left_apart_point( Y, Z ),
% 0.70/1.11 left_apart_point( X, T ), left_apart_point( Y, T ), left_apart_point( X,
% 0.70/1.11 reverse_line( Z ) ), left_apart_point( Y, reverse_line( Z ) ),
% 0.70/1.11 left_apart_point( X, reverse_line( T ) ), left_apart_point( Y,
% 0.70/1.11 reverse_line( T ) ) }.
% 0.70/1.11 (579) {G0,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), ! left_apart_point
% 0.70/1.11 ( X, Z ), left_apart_point( Y, Z ), left_convergent_lines(
% 0.70/1.11 line_connecting( X, Y ), Z ) }.
% 0.70/1.11 (580) {G0,W9,D2,L3,V3,M3} { ! left_apart_point( X, Y ), distinct_points( X
% 0.70/1.11 , Z ), left_apart_point( Z, Y ) }.
% 0.70/1.11 (581) {G0,W13,D3,L4,V3,M4} { ! left_apart_point( X, Y ), !
% 0.70/1.11 unequally_directed_lines( Y, Z ), distinct_lines( Y, Z ),
% 0.70/1.11 left_apart_point( X, reverse_line( Z ) ) }.
% 0.70/1.11 (582) {G0,W9,D2,L3,V3,M3} { ! left_convergent_lines( X, Y ),
% 0.70/1.11 unequally_directed_lines( Y, Z ), left_convergent_lines( X, Z ) }.
% 0.70/1.11 (583) {G0,W2,D2,L1,V0,M1} { line( skol1 ) }.
% 0.70/1.11 (584) {G0,W3,D2,L1,V0,M1} { distinct_points( skol2, skol4 ) }.
% 0.70/1.11 (585) {G0,W3,D2,L1,V0,M1} { distinct_points( skol3, skol4 ) }.
% 0.70/1.11 (586) {G0,W3,D2,L1,V0,M1} { distinct_points( skol2, skol3 ) }.
% 0.70/1.11 (587) {G0,W5,D2,L1,V0,M1} { between_on_line( skol1, skol2, skol3, skol4 )
% 0.70/1.11 }.
% 0.70/1.11 (588) {G0,W5,D2,L1,V0,M1} { between_on_line( skol1, skol3, skol2, skol4 )
% 0.70/1.11 }.
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 Total Proof:
% 0.70/1.11
% 0.70/1.11 subsumption: (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X
% 0.70/1.11 ) }.
% 0.70/1.11 parent0: (553) {G0,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, X )
% 0.70/1.11 }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z )
% 0.70/1.11 , unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y )
% 0.70/1.11 }.
% 0.70/1.11 parent0: (554) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.70/1.11 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 Z := Z
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 2
% 0.70/1.11 1 ==> 0
% 0.70/1.11 2 ==> 1
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (50) {G0,W11,D3,L4,V2,M2} I { ! line( X ), ! line( Y ),
% 0.70/1.11 unequally_directed_lines( X, reverse_line( Y ) ),
% 0.70/1.11 unequally_directed_lines( X, Y ) }.
% 0.70/1.11 parent0: (560) {G0,W11,D3,L4,V2,M4} { ! line( X ), ! line( Y ),
% 0.70/1.11 unequally_directed_lines( X, Y ), unequally_directed_lines( X,
% 0.70/1.11 reverse_line( Y ) ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 0
% 0.70/1.11 1 ==> 1
% 0.70/1.11 2 ==> 3
% 0.70/1.11 3 ==> 2
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (51) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y
% 0.70/1.11 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.70/1.11 left_convergent_lines( X, reverse_line( Y ) ), left_convergent_lines( X,
% 0.70/1.11 Y ) }.
% 0.70/1.11 parent0: (561) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y ),
% 0.70/1.11 ! unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines
% 0.70/1.11 ( X, Y ), left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 0
% 0.70/1.11 1 ==> 1
% 0.70/1.11 2 ==> 3
% 0.70/1.11 3 ==> 2
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.70/1.11 }.
% 0.70/1.11 parent0: (564) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (57) {G0,W5,D3,L2,V1,M2} I { line( reverse_line( X ) ), ! line
% 0.70/1.11 ( X ) }.
% 0.70/1.11 parent0: (569) {G0,W5,D3,L2,V1,M2} { ! line( X ), line( reverse_line( X )
% 0.70/1.11 ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 1
% 0.70/1.11 1 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (64) {G0,W8,D4,L1,V2,M1} I { ! unequally_directed_lines(
% 0.70/1.11 line_connecting( X, Y ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.70/1.11 parent0: (576) {G0,W8,D4,L1,V2,M1} { ! unequally_directed_lines(
% 0.70/1.11 line_connecting( X, Y ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (65) {G0,W5,D3,L1,V2,M1} I { ! unequally_directed_lines(
% 0.70/1.11 parallel_through_point( Y, X ), Y ) }.
% 0.70/1.11 parent0: (577) {G0,W5,D3,L1,V2,M1} { ! unequally_directed_lines(
% 0.70/1.11 parallel_through_point( Y, X ), Y ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (67) {G0,W2,D2,L1,V0,M1} I { line( skol1 ) }.
% 0.70/1.11 parent0: (583) {G0,W2,D2,L1,V0,M1} { line( skol1 ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 factor: (674) {G0,W9,D3,L3,V1,M3} { ! line( X ), unequally_directed_lines
% 0.70/1.11 ( X, reverse_line( X ) ), unequally_directed_lines( X, X ) }.
% 0.70/1.11 parent0[0, 1]: (50) {G0,W11,D3,L4,V2,M2} I { ! line( X ), ! line( Y ),
% 0.70/1.11 unequally_directed_lines( X, reverse_line( Y ) ),
% 0.70/1.11 unequally_directed_lines( X, Y ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := X
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (675) {G1,W6,D3,L2,V1,M2} { ! line( X ),
% 0.70/1.11 unequally_directed_lines( X, reverse_line( X ) ) }.
% 0.70/1.11 parent0[0]: (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X )
% 0.70/1.11 }.
% 0.70/1.11 parent1[2]: (674) {G0,W9,D3,L3,V1,M3} { ! line( X ),
% 0.70/1.11 unequally_directed_lines( X, reverse_line( X ) ),
% 0.70/1.11 unequally_directed_lines( X, X ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 X := X
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (75) {G1,W6,D3,L2,V1,M1} F(50);r(43) { ! line( X ),
% 0.70/1.11 unequally_directed_lines( X, reverse_line( X ) ) }.
% 0.70/1.11 parent0: (675) {G1,W6,D3,L2,V1,M2} { ! line( X ), unequally_directed_lines
% 0.70/1.11 ( X, reverse_line( X ) ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 0
% 0.70/1.11 1 ==> 1
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (676) {G1,W6,D4,L2,V1,M2} { line( reverse_line( reverse_line(
% 0.70/1.11 X ) ) ), ! line( X ) }.
% 0.70/1.11 parent0[1]: (57) {G0,W5,D3,L2,V1,M2} I { line( reverse_line( X ) ), ! line
% 0.70/1.11 ( X ) }.
% 0.70/1.11 parent1[0]: (57) {G0,W5,D3,L2,V1,M2} I { line( reverse_line( X ) ), ! line
% 0.70/1.11 ( X ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := reverse_line( X )
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 X := X
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (77) {G1,W6,D4,L2,V1,M2} R(57,57) { line( reverse_line(
% 0.70/1.11 reverse_line( X ) ) ), ! line( X ) }.
% 0.70/1.11 parent0: (676) {G1,W6,D4,L2,V1,M2} { line( reverse_line( reverse_line( X )
% 0.70/1.11 ) ), ! line( X ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 0
% 0.70/1.11 1 ==> 1
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (677) {G1,W3,D3,L1,V0,M1} { line( reverse_line( skol1 ) ) }.
% 0.70/1.11 parent0[1]: (57) {G0,W5,D3,L2,V1,M2} I { line( reverse_line( X ) ), ! line
% 0.70/1.11 ( X ) }.
% 0.70/1.11 parent1[0]: (67) {G0,W2,D2,L1,V0,M1} I { line( skol1 ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := skol1
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (78) {G1,W3,D3,L1,V0,M1} R(57,67) { line( reverse_line( skol1
% 0.70/1.11 ) ) }.
% 0.70/1.11 parent0: (677) {G1,W3,D3,L1,V0,M1} { line( reverse_line( skol1 ) ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (678) {G1,W4,D4,L1,V0,M1} { line( reverse_line( reverse_line(
% 0.70/1.11 skol1 ) ) ) }.
% 0.70/1.11 parent0[1]: (57) {G0,W5,D3,L2,V1,M2} I { line( reverse_line( X ) ), ! line
% 0.70/1.11 ( X ) }.
% 0.70/1.11 parent1[0]: (78) {G1,W3,D3,L1,V0,M1} R(57,67) { line( reverse_line( skol1 )
% 0.70/1.11 ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := reverse_line( skol1 )
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (79) {G2,W4,D4,L1,V0,M1} R(78,57) { line( reverse_line(
% 0.70/1.11 reverse_line( skol1 ) ) ) }.
% 0.70/1.11 parent0: (678) {G1,W4,D4,L1,V0,M1} { line( reverse_line( reverse_line(
% 0.70/1.11 skol1 ) ) ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (679) {G1,W5,D5,L1,V0,M1} { line( reverse_line( reverse_line(
% 0.70/1.11 reverse_line( skol1 ) ) ) ) }.
% 0.70/1.11 parent0[1]: (57) {G0,W5,D3,L2,V1,M2} I { line( reverse_line( X ) ), ! line
% 0.70/1.11 ( X ) }.
% 0.70/1.11 parent1[0]: (79) {G2,W4,D4,L1,V0,M1} R(78,57) { line( reverse_line(
% 0.70/1.11 reverse_line( skol1 ) ) ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := reverse_line( reverse_line( skol1 ) )
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (82) {G3,W5,D5,L1,V0,M1} R(79,57) { line( reverse_line(
% 0.70/1.11 reverse_line( reverse_line( skol1 ) ) ) ) }.
% 0.70/1.11 parent0: (679) {G1,W5,D5,L1,V0,M1} { line( reverse_line( reverse_line(
% 0.70/1.11 reverse_line( skol1 ) ) ) ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (680) {G1,W6,D6,L1,V0,M1} { line( reverse_line( reverse_line(
% 0.70/1.11 reverse_line( reverse_line( skol1 ) ) ) ) ) }.
% 0.70/1.11 parent0[1]: (57) {G0,W5,D3,L2,V1,M2} I { line( reverse_line( X ) ), ! line
% 0.70/1.11 ( X ) }.
% 0.70/1.11 parent1[0]: (82) {G3,W5,D5,L1,V0,M1} R(79,57) { line( reverse_line(
% 0.70/1.11 reverse_line( reverse_line( skol1 ) ) ) ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := reverse_line( reverse_line( reverse_line( skol1 ) ) )
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (83) {G4,W6,D6,L1,V0,M1} R(82,57) { line( reverse_line(
% 0.70/1.11 reverse_line( reverse_line( reverse_line( skol1 ) ) ) ) ) }.
% 0.70/1.11 parent0: (680) {G1,W6,D6,L1,V0,M1} { line( reverse_line( reverse_line(
% 0.70/1.11 reverse_line( reverse_line( skol1 ) ) ) ) ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (681) {G2,W8,D8,L1,V0,M1} { line( reverse_line( reverse_line(
% 0.70/1.11 reverse_line( reverse_line( reverse_line( reverse_line( skol1 ) ) ) ) ) )
% 0.70/1.11 ) }.
% 0.70/1.11 parent0[1]: (77) {G1,W6,D4,L2,V1,M2} R(57,57) { line( reverse_line(
% 0.70/1.11 reverse_line( X ) ) ), ! line( X ) }.
% 0.70/1.11 parent1[0]: (83) {G4,W6,D6,L1,V0,M1} R(82,57) { line( reverse_line(
% 0.70/1.11 reverse_line( reverse_line( reverse_line( skol1 ) ) ) ) ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := reverse_line( reverse_line( reverse_line( reverse_line( skol1 ) ) )
% 0.70/1.11 )
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (92) {G5,W8,D8,L1,V0,M1} R(83,77) { line( reverse_line(
% 0.70/1.11 reverse_line( reverse_line( reverse_line( reverse_line( reverse_line(
% 0.70/1.11 skol1 ) ) ) ) ) ) ) }.
% 0.70/1.11 parent0: (681) {G2,W8,D8,L1,V0,M1} { line( reverse_line( reverse_line(
% 0.70/1.11 reverse_line( reverse_line( reverse_line( reverse_line( skol1 ) ) ) ) ) )
% 0.70/1.11 ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (682) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X ),
% 0.70/1.11 ! unequally_directed_lines( X, Y ) }.
% 0.70/1.11 parent0[0]: (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X )
% 0.70/1.11 }.
% 0.70/1.11 parent1[0]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.70/1.11 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 Z := X
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (122) {G1,W6,D2,L2,V2,M2} R(44,43) { !
% 0.70/1.11 unequally_directed_lines( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.70/1.11 parent0: (682) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X ), !
% 0.70/1.11 unequally_directed_lines( X, Y ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := Y
% 0.70/1.11 Y := X
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 1
% 0.70/1.11 1 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (684) {G1,W5,D3,L1,V2,M1} { ! unequally_directed_lines( X,
% 0.70/1.11 parallel_through_point( X, Y ) ) }.
% 0.70/1.11 parent0[0]: (65) {G0,W5,D3,L1,V2,M1} I { ! unequally_directed_lines(
% 0.70/1.11 parallel_through_point( Y, X ), Y ) }.
% 0.70/1.11 parent1[1]: (122) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines
% 0.70/1.11 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := Y
% 0.70/1.11 Y := X
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 X := parallel_through_point( X, Y )
% 0.70/1.11 Y := X
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (133) {G2,W5,D3,L1,V2,M1} R(122,65) { !
% 0.70/1.11 unequally_directed_lines( X, parallel_through_point( X, Y ) ) }.
% 0.70/1.11 parent0: (684) {G1,W5,D3,L1,V2,M1} { ! unequally_directed_lines( X,
% 0.70/1.11 parallel_through_point( X, Y ) ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (685) {G1,W8,D3,L2,V3,M2} { unequally_directed_lines( Z,
% 0.70/1.11 parallel_through_point( X, Y ) ), ! unequally_directed_lines( X, Z ) }.
% 0.70/1.11 parent0[0]: (133) {G2,W5,D3,L1,V2,M1} R(122,65) { !
% 0.70/1.11 unequally_directed_lines( X, parallel_through_point( X, Y ) ) }.
% 0.70/1.11 parent1[0]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.70/1.11 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Z
% 0.70/1.11 Z := parallel_through_point( X, Y )
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (134) {G3,W8,D3,L2,V3,M2} R(133,44) { !
% 0.70/1.11 unequally_directed_lines( Y, X ), unequally_directed_lines( X,
% 0.70/1.11 parallel_through_point( Y, Z ) ) }.
% 0.70/1.11 parent0: (685) {G1,W8,D3,L2,V3,M2} { unequally_directed_lines( Z,
% 0.70/1.11 parallel_through_point( X, Y ) ), ! unequally_directed_lines( X, Z ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := Y
% 0.70/1.11 Y := Z
% 0.70/1.11 Z := X
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 1
% 0.70/1.11 1 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (687) {G2,W8,D3,L2,V2,M2} { unequally_directed_lines(
% 0.70/1.11 reverse_line( X ), parallel_through_point( X, Y ) ), ! line( X ) }.
% 0.70/1.11 parent0[0]: (134) {G3,W8,D3,L2,V3,M2} R(133,44) { !
% 0.70/1.11 unequally_directed_lines( Y, X ), unequally_directed_lines( X,
% 0.70/1.11 parallel_through_point( Y, Z ) ) }.
% 0.70/1.11 parent1[1]: (75) {G1,W6,D3,L2,V1,M1} F(50);r(43) { ! line( X ),
% 0.70/1.11 unequally_directed_lines( X, reverse_line( X ) ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := reverse_line( X )
% 0.70/1.11 Y := X
% 0.70/1.11 Z := Y
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 X := X
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (152) {G4,W8,D3,L2,V2,M1} R(134,75) { ! line( X ),
% 0.70/1.11 unequally_directed_lines( reverse_line( X ), parallel_through_point( X, Y
% 0.70/1.11 ) ) }.
% 0.70/1.11 parent0: (687) {G2,W8,D3,L2,V2,M2} { unequally_directed_lines(
% 0.70/1.11 reverse_line( X ), parallel_through_point( X, Y ) ), ! line( X ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 1
% 0.70/1.11 1 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (688) {G1,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y
% 0.70/1.11 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.70/1.11 left_convergent_lines( X, Y ) }.
% 0.70/1.11 parent0[0]: (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.70/1.11 }.
% 0.70/1.11 parent1[2]: (51) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y
% 0.70/1.11 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.70/1.11 left_convergent_lines( X, reverse_line( Y ) ), left_convergent_lines( X,
% 0.70/1.11 Y ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := reverse_line( Y )
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (690) {G1,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, Y )
% 0.70/1.11 , ! unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.70/1.11 parent0[0]: (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.70/1.11 }.
% 0.70/1.11 parent1[2]: (688) {G1,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y
% 0.70/1.11 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.70/1.11 left_convergent_lines( X, Y ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (379) {G1,W7,D3,L2,V2,M2} S(51);r(53);r(53) { !
% 0.70/1.11 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.70/1.11 unequally_directed_lines( X, Y ) }.
% 0.70/1.11 parent0: (690) {G1,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, Y ), !
% 0.70/1.11 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 1
% 0.70/1.11 1 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (692) {G2,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X,
% 0.70/1.11 reverse_line( Y ) ), ! unequally_directed_lines( Y, X ) }.
% 0.70/1.11 parent0[1]: (379) {G1,W7,D3,L2,V2,M2} S(51);r(53);r(53) { !
% 0.70/1.11 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.70/1.11 unequally_directed_lines( X, Y ) }.
% 0.70/1.11 parent1[1]: (122) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines
% 0.70/1.11 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (409) {G2,W7,D3,L2,V2,M2} R(379,122) { !
% 0.70/1.11 unequally_directed_lines( Y, X ), ! unequally_directed_lines( X,
% 0.70/1.11 reverse_line( Y ) ) }.
% 0.70/1.11 parent0: (692) {G2,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X,
% 0.70/1.11 reverse_line( Y ) ), ! unequally_directed_lines( Y, X ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 1
% 0.70/1.11 1 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (696) {G1,W10,D3,L3,V3,M3} { ! unequally_directed_lines( X, Y
% 0.70/1.11 ), unequally_directed_lines( Z, reverse_line( X ) ), !
% 0.70/1.11 unequally_directed_lines( Z, Y ) }.
% 0.70/1.11 parent0[1]: (409) {G2,W7,D3,L2,V2,M2} R(379,122) { !
% 0.70/1.11 unequally_directed_lines( Y, X ), ! unequally_directed_lines( X,
% 0.70/1.11 reverse_line( Y ) ) }.
% 0.70/1.11 parent1[1]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.70/1.11 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := Y
% 0.70/1.11 Y := X
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 X := Z
% 0.70/1.11 Y := Y
% 0.70/1.11 Z := reverse_line( X )
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (479) {G3,W10,D3,L3,V3,M3} R(409,44) {
% 0.70/1.11 unequally_directed_lines( Z, reverse_line( X ) ), !
% 0.70/1.11 unequally_directed_lines( Z, Y ), ! unequally_directed_lines( X, Y ) }.
% 0.70/1.11 parent0: (696) {G1,W10,D3,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.70/1.11 unequally_directed_lines( Z, reverse_line( X ) ), !
% 0.70/1.11 unequally_directed_lines( Z, Y ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 Z := Z
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 2
% 0.70/1.11 1 ==> 0
% 0.70/1.11 2 ==> 1
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 factor: (700) {G3,W7,D3,L2,V2,M2} { unequally_directed_lines( X,
% 0.70/1.11 reverse_line( X ) ), ! unequally_directed_lines( X, Y ) }.
% 0.70/1.11 parent0[1, 2]: (479) {G3,W10,D3,L3,V3,M3} R(409,44) {
% 0.70/1.11 unequally_directed_lines( Z, reverse_line( X ) ), !
% 0.70/1.11 unequally_directed_lines( Z, Y ), ! unequally_directed_lines( X, Y ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 Z := X
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (480) {G4,W7,D3,L2,V2,M2} F(479) { ! unequally_directed_lines
% 0.70/1.11 ( X, Y ), unequally_directed_lines( X, reverse_line( X ) ) }.
% 0.70/1.11 parent0: (700) {G3,W7,D3,L2,V2,M2} { unequally_directed_lines( X,
% 0.70/1.11 reverse_line( X ) ), ! unequally_directed_lines( X, Y ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 1
% 0.70/1.11 1 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (701) {G1,W5,D3,L1,V2,M1} { ! unequally_directed_lines(
% 0.70/1.11 line_connecting( X, X ), Y ) }.
% 0.70/1.11 parent0[0]: (64) {G0,W8,D4,L1,V2,M1} I { ! unequally_directed_lines(
% 0.70/1.11 line_connecting( X, Y ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.70/1.11 parent1[1]: (480) {G4,W7,D3,L2,V2,M2} F(479) { ! unequally_directed_lines(
% 0.70/1.11 X, Y ), unequally_directed_lines( X, reverse_line( X ) ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := X
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 X := line_connecting( X, X )
% 0.70/1.11 Y := Y
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (499) {G5,W5,D3,L1,V2,M1} R(480,64) { !
% 0.70/1.11 unequally_directed_lines( line_connecting( X, X ), Y ) }.
% 0.70/1.11 parent0: (701) {G1,W5,D3,L1,V2,M1} { ! unequally_directed_lines(
% 0.70/1.11 line_connecting( X, X ), Y ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (702) {G4,W5,D3,L1,V2,M1} { ! unequally_directed_lines( Y,
% 0.70/1.11 line_connecting( X, X ) ) }.
% 0.70/1.11 parent0[0]: (499) {G5,W5,D3,L1,V2,M1} R(480,64) { !
% 0.70/1.11 unequally_directed_lines( line_connecting( X, X ), Y ) }.
% 0.70/1.11 parent1[1]: (134) {G3,W8,D3,L2,V3,M2} R(133,44) { !
% 0.70/1.11 unequally_directed_lines( Y, X ), unequally_directed_lines( X,
% 0.70/1.11 parallel_through_point( Y, Z ) ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := parallel_through_point( Y, Z )
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 X := line_connecting( X, X )
% 0.70/1.11 Y := Y
% 0.70/1.11 Z := Z
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (504) {G6,W5,D3,L1,V2,M1} R(499,134) { !
% 0.70/1.11 unequally_directed_lines( X, line_connecting( Y, Y ) ) }.
% 0.70/1.11 parent0: (702) {G4,W5,D3,L1,V2,M1} { ! unequally_directed_lines( Y,
% 0.70/1.11 line_connecting( X, X ) ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := Y
% 0.70/1.11 Y := X
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (703) {G1,W8,D3,L2,V3,M2} { unequally_directed_lines( Z,
% 0.70/1.11 line_connecting( Y, Y ) ), ! unequally_directed_lines( X, Z ) }.
% 0.70/1.11 parent0[0]: (504) {G6,W5,D3,L1,V2,M1} R(499,134) { !
% 0.70/1.11 unequally_directed_lines( X, line_connecting( Y, Y ) ) }.
% 0.70/1.11 parent1[0]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.70/1.11 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Z
% 0.70/1.11 Z := line_connecting( Y, Y )
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (705) {G2,W3,D2,L1,V2,M1} { ! unequally_directed_lines( Z, X )
% 0.70/1.11 }.
% 0.70/1.11 parent0[0]: (504) {G6,W5,D3,L1,V2,M1} R(499,134) { !
% 0.70/1.11 unequally_directed_lines( X, line_connecting( Y, Y ) ) }.
% 0.70/1.11 parent1[0]: (703) {G1,W8,D3,L2,V3,M2} { unequally_directed_lines( Z,
% 0.70/1.11 line_connecting( Y, Y ) ), ! unequally_directed_lines( X, Z ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 X := Z
% 0.70/1.11 Y := Y
% 0.70/1.11 Z := X
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (505) {G7,W3,D2,L1,V2,M1} R(504,44);r(504) { !
% 0.70/1.11 unequally_directed_lines( Z, X ) }.
% 0.70/1.11 parent0: (705) {G2,W3,D2,L1,V2,M1} { ! unequally_directed_lines( Z, X )
% 0.70/1.11 }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 Y := T
% 0.70/1.11 Z := Z
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (706) {G5,W2,D2,L1,V1,M1} { ! line( X ) }.
% 0.70/1.11 parent0[0]: (505) {G7,W3,D2,L1,V2,M1} R(504,44);r(504) { !
% 0.70/1.11 unequally_directed_lines( Z, X ) }.
% 0.70/1.11 parent1[1]: (152) {G4,W8,D3,L2,V2,M1} R(134,75) { ! line( X ),
% 0.70/1.11 unequally_directed_lines( reverse_line( X ), parallel_through_point( X, Y
% 0.70/1.11 ) ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := parallel_through_point( X, Y )
% 0.70/1.11 Y := Z
% 0.70/1.11 Z := reverse_line( X )
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 X := X
% 0.70/1.11 Y := Y
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (507) {G8,W2,D2,L1,V1,M1} R(505,152) { ! line( X ) }.
% 0.70/1.11 parent0: (706) {G5,W2,D2,L1,V1,M1} { ! line( X ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := X
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 0 ==> 0
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 resolution: (707) {G6,W0,D0,L0,V0,M0} { }.
% 0.70/1.11 parent0[0]: (507) {G8,W2,D2,L1,V1,M1} R(505,152) { ! line( X ) }.
% 0.70/1.11 parent1[0]: (92) {G5,W8,D8,L1,V0,M1} R(83,77) { line( reverse_line(
% 0.70/1.11 reverse_line( reverse_line( reverse_line( reverse_line( reverse_line(
% 0.70/1.11 skol1 ) ) ) ) ) ) ) }.
% 0.70/1.11 substitution0:
% 0.70/1.11 X := reverse_line( reverse_line( reverse_line( reverse_line(
% 0.70/1.11 reverse_line( reverse_line( skol1 ) ) ) ) ) )
% 0.70/1.11 end
% 0.70/1.11 substitution1:
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 subsumption: (508) {G9,W0,D0,L0,V0,M0} R(507,92) { }.
% 0.70/1.11 parent0: (707) {G6,W0,D0,L0,V0,M0} { }.
% 0.70/1.11 substitution0:
% 0.70/1.11 end
% 0.70/1.11 permutation0:
% 0.70/1.11 end
% 0.70/1.11
% 0.70/1.11 Proof check complete!
% 0.70/1.11
% 0.70/1.11 Memory use:
% 0.70/1.11
% 0.70/1.11 space for terms: 7122
% 0.70/1.11 space for clauses: 24706
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 clauses generated: 1361
% 0.70/1.11 clauses kept: 509
% 0.70/1.11 clauses selected: 141
% 0.70/1.11 clauses deleted: 22
% 0.70/1.11 clauses inuse deleted: 0
% 0.70/1.11
% 0.70/1.11 subsentry: 4823
% 0.70/1.11 literals s-matched: 3145
% 0.70/1.11 literals matched: 3092
% 0.70/1.11 full subsumption: 834
% 0.70/1.11
% 0.70/1.11 checksum: 751319339
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 Bliksem ended
%------------------------------------------------------------------------------