TSTP Solution File: GEO260+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO260+1 : TPTP v8.1.0. Bugfixed v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 02:53:22 EDT 2022
% Result : Theorem 0.72s 1.13s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO260+1 : TPTP v8.1.0. Bugfixed v8.1.0.
% 0.04/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n025.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 : Sat Jun 18 06:01:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/1.12 *** allocated 10000 integers for termspace/termends
% 0.72/1.12 *** allocated 10000 integers for clauses
% 0.72/1.12 *** allocated 10000 integers for justifications
% 0.72/1.12 Bliksem 1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Automatic Strategy Selection
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Clauses:
% 0.72/1.12
% 0.72/1.12 { ! apart_point_and_line( X, Y ), left_apart_point( X, Y ),
% 0.72/1.12 left_apart_point( X, reverse_line( Y ) ) }.
% 0.72/1.12 { ! left_apart_point( X, Y ), apart_point_and_line( X, Y ) }.
% 0.72/1.12 { ! left_apart_point( X, reverse_line( Y ) ), apart_point_and_line( X, Y )
% 0.72/1.12 }.
% 0.72/1.12 { ! convergent_lines( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.72/1.12 { ! convergent_lines( X, Y ), unequally_directed_lines( X, reverse_line( Y
% 0.72/1.12 ) ) }.
% 0.72/1.12 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.72/1.12 reverse_line( Y ) ), convergent_lines( X, Y ) }.
% 0.72/1.12 { ! divides_points( Z, X, Y ), alpha1( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.72/1.12 { ! alpha1( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.72/1.12 { ! alpha4( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.72/1.12 { ! alpha4( X, Y, Z ), left_apart_point( X, reverse_line( Z ) ) }.
% 0.72/1.12 { ! alpha4( X, Y, Z ), left_apart_point( Y, Z ) }.
% 0.72/1.12 { ! left_apart_point( X, reverse_line( Z ) ), ! left_apart_point( Y, Z ),
% 0.72/1.12 alpha4( X, Y, Z ) }.
% 0.72/1.12 { ! alpha1( X, Y, Z ), left_apart_point( X, Z ) }.
% 0.72/1.12 { ! alpha1( X, Y, Z ), left_apart_point( Y, reverse_line( Z ) ) }.
% 0.72/1.12 { ! left_apart_point( X, Z ), ! left_apart_point( Y, reverse_line( Z ) ),
% 0.72/1.12 alpha1( X, Y, Z ) }.
% 0.72/1.12 { ! before_on_line( X, Y, Z ), distinct_points( Y, Z ) }.
% 0.72/1.12 { ! before_on_line( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.72/1.12 { ! distinct_points( Y, Z ), ! alpha7( X, Y, Z ), before_on_line( X, Y, Z )
% 0.72/1.12 }.
% 0.72/1.12 { ! alpha7( X, Y, Z ), alpha2( X, Y ) }.
% 0.72/1.12 { ! alpha7( X, Y, Z ), alpha8( X, Y, Z ) }.
% 0.72/1.12 { ! alpha2( X, Y ), ! alpha8( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.72/1.12 { ! alpha8( X, Y, Z ), alpha5( X, Z ) }.
% 0.72/1.12 { ! alpha8( X, Y, Z ), ! unequally_directed_lines( X, line_connecting( Y, Z
% 0.72/1.12 ) ) }.
% 0.72/1.12 { ! alpha5( X, Z ), unequally_directed_lines( X, line_connecting( Y, Z ) )
% 0.72/1.12 , alpha8( X, Y, Z ) }.
% 0.72/1.12 { ! alpha5( X, Y ), ! left_apart_point( Y, X ) }.
% 0.72/1.12 { ! alpha5( X, Y ), ! left_apart_point( Y, reverse_line( X ) ) }.
% 0.72/1.12 { left_apart_point( Y, X ), left_apart_point( Y, reverse_line( X ) ),
% 0.72/1.12 alpha5( X, Y ) }.
% 0.72/1.12 { ! alpha2( X, Y ), ! left_apart_point( Y, X ) }.
% 0.72/1.12 { ! alpha2( X, Y ), ! left_apart_point( Y, reverse_line( X ) ) }.
% 0.72/1.12 { left_apart_point( Y, X ), left_apart_point( Y, reverse_line( X ) ),
% 0.72/1.12 alpha2( X, Y ) }.
% 0.72/1.12 { ! between_on_line( X, Y, Z, T ), alpha3( X, Y, Z, T ), alpha6( X, Y, Z, T
% 0.72/1.12 ) }.
% 0.72/1.12 { ! alpha3( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha6( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.72/1.12 { ! alpha6( X, Y, Z, T ), before_on_line( X, T, Z ) }.
% 0.72/1.12 { ! alpha6( X, Y, Z, T ), before_on_line( X, Z, Y ) }.
% 0.72/1.12 { ! before_on_line( X, T, Z ), ! before_on_line( X, Z, Y ), alpha6( X, Y, Z
% 0.72/1.12 , T ) }.
% 0.72/1.12 { ! alpha3( X, Y, Z, T ), before_on_line( X, Y, Z ) }.
% 0.72/1.12 { ! alpha3( X, Y, Z, T ), before_on_line( X, Z, T ) }.
% 0.72/1.12 { ! before_on_line( X, Y, Z ), ! before_on_line( X, Z, T ), alpha3( X, Y, Z
% 0.72/1.12 , T ) }.
% 0.72/1.12 { ! distinct_points( X, X ) }.
% 0.72/1.12 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.72/1.12 ) }.
% 0.72/1.12 { ! distinct_lines( X, X ) }.
% 0.72/1.12 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.72/1.12 }.
% 0.72/1.12 { ! unequally_directed_lines( X, X ) }.
% 0.72/1.12 { ! unequally_directed_lines( X, Y ), unequally_directed_lines( X, Z ),
% 0.72/1.12 unequally_directed_lines( Y, Z ) }.
% 0.72/1.12 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.72/1.12 reverse_line( Y ) ), alpha9( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.72/1.12 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.72/1.12 reverse_line( Y ) ), alpha9( X, Z ), unequally_directed_lines( Y,
% 0.72/1.12 reverse_line( Z ) ) }.
% 0.72/1.12 { ! alpha9( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.72/1.12 { ! alpha9( X, Y ), unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.72/1.12 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.72/1.12 reverse_line( Y ) ), alpha9( X, Y ) }.
% 0.72/1.12 { ! line( X ), ! line( Y ), unequally_directed_lines( X, Y ),
% 0.72/1.12 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.72/1.12 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.72/1.12 reverse_line( Y ) ), left_convergent_lines( X, Y ), left_convergent_lines
% 0.72/1.12 ( X, reverse_line( Y ) ) }.
% 0.72/1.13 { ! left_apart_point( X, Y ) }.
% 0.72/1.13 { ! left_apart_point( X, reverse_line( Y ) ) }.
% 0.72/1.13 { ! left_convergent_lines( X, Y ) }.
% 0.72/1.13 { ! left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.72/1.13 { ! point( X ), ! point( Y ), ! distinct_points( X, Y ), line(
% 0.72/1.13 line_connecting( X, Y ) ) }.
% 0.72/1.13 { ! line( X ), ! line( Y ), ! unequally_directed_lines( X, Y ), !
% 0.72/1.13 unequally_directed_lines( X, reverse_line( Y ) ), point(
% 0.72/1.13 intersection_point( X, Y ) ) }.
% 0.72/1.13 { ! point( Y ), ! line( X ), line( parallel_through_point( X, Y ) ) }.
% 0.72/1.13 { ! line( X ), line( reverse_line( X ) ) }.
% 0.72/1.13 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 0.72/1.13 , Y ) ) }.
% 0.72/1.13 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 0.72/1.13 , Y ) ) }.
% 0.72/1.13 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.72/1.13 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 0.72/1.13 X ) }.
% 0.72/1.13 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.72/1.13 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 0.72/1.13 Y ) }.
% 0.72/1.13 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 0.72/1.13 { ! distinct_lines( X, reverse_line( X ) ) }.
% 0.72/1.13 { ! unequally_directed_lines( line_connecting( X, Y ), reverse_line(
% 0.72/1.13 line_connecting( Y, X ) ) ) }.
% 0.72/1.13 { ! unequally_directed_lines( parallel_through_point( Y, X ), Y ) }.
% 0.72/1.13 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), left_apart_point( X
% 0.72/1.13 , Z ), left_apart_point( Y, Z ), left_apart_point( X, T ),
% 0.72/1.13 left_apart_point( Y, T ), left_apart_point( X, reverse_line( Z ) ),
% 0.72/1.13 left_apart_point( Y, reverse_line( Z ) ), left_apart_point( X,
% 0.72/1.13 reverse_line( T ) ), left_apart_point( Y, reverse_line( T ) ) }.
% 0.72/1.13 { ! distinct_points( X, Y ), ! left_apart_point( X, Z ), left_apart_point(
% 0.72/1.13 Y, Z ), left_convergent_lines( line_connecting( X, Y ), Z ) }.
% 0.72/1.13 { ! left_apart_point( X, Y ), distinct_points( X, Z ), left_apart_point( Z
% 0.72/1.13 , Y ) }.
% 0.72/1.13 { ! left_apart_point( X, Y ), ! unequally_directed_lines( Y, Z ),
% 0.72/1.13 distinct_lines( Y, Z ), left_apart_point( X, reverse_line( Z ) ) }.
% 0.72/1.13 { ! left_convergent_lines( X, Y ), unequally_directed_lines( Y, Z ),
% 0.72/1.13 left_convergent_lines( X, Z ) }.
% 0.72/1.13 { line( skol1 ) }.
% 0.72/1.13 { distinct_points( skol2, skol4 ) }.
% 0.72/1.13 { distinct_points( skol3, skol4 ) }.
% 0.72/1.13 { distinct_points( skol2, skol3 ) }.
% 0.72/1.13 { between_on_line( skol1, skol2, skol3, skol4 ) }.
% 0.72/1.13 { between_on_line( skol1, skol2, skol4, skol3 ) }.
% 0.72/1.13
% 0.72/1.13 percentage equality = 0.000000, percentage horn = 0.808219
% 0.72/1.13 This a non-horn, non-equality problem
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Options Used:
% 0.72/1.13
% 0.72/1.13 useres = 1
% 0.72/1.13 useparamod = 0
% 0.72/1.13 useeqrefl = 0
% 0.72/1.13 useeqfact = 0
% 0.72/1.13 usefactor = 1
% 0.72/1.13 usesimpsplitting = 0
% 0.72/1.13 usesimpdemod = 0
% 0.72/1.13 usesimpres = 3
% 0.72/1.13
% 0.72/1.13 resimpinuse = 1000
% 0.72/1.13 resimpclauses = 20000
% 0.72/1.13 substype = standard
% 0.72/1.13 backwardsubs = 1
% 0.72/1.13 selectoldest = 5
% 0.72/1.13
% 0.72/1.13 litorderings [0] = split
% 0.72/1.13 litorderings [1] = liftord
% 0.72/1.13
% 0.72/1.13 termordering = none
% 0.72/1.13
% 0.72/1.13 litapriori = 1
% 0.72/1.13 termapriori = 0
% 0.72/1.13 litaposteriori = 0
% 0.72/1.13 termaposteriori = 0
% 0.72/1.13 demodaposteriori = 0
% 0.72/1.13 ordereqreflfact = 0
% 0.72/1.13
% 0.72/1.13 litselect = none
% 0.72/1.13
% 0.72/1.13 maxweight = 15
% 0.72/1.13 maxdepth = 30000
% 0.72/1.13 maxlength = 115
% 0.72/1.13 maxnrvars = 195
% 0.72/1.13 excuselevel = 1
% 0.72/1.13 increasemaxweight = 1
% 0.72/1.13
% 0.72/1.13 maxselected = 10000000
% 0.72/1.13 maxnrclauses = 10000000
% 0.72/1.13
% 0.72/1.13 showgenerated = 0
% 0.72/1.13 showkept = 0
% 0.72/1.13 showselected = 0
% 0.72/1.13 showdeleted = 0
% 0.72/1.13 showresimp = 1
% 0.72/1.13 showstatus = 2000
% 0.72/1.13
% 0.72/1.13 prologoutput = 0
% 0.72/1.13 nrgoals = 5000000
% 0.72/1.13 totalproof = 1
% 0.72/1.13
% 0.72/1.13 Symbols occurring in the translation:
% 0.72/1.13
% 0.72/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.13 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.72/1.13 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.72/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.13 apart_point_and_line [37, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.72/1.13 left_apart_point [38, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.72/1.13 reverse_line [39, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.72/1.13 convergent_lines [41, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.72/1.13 unequally_directed_lines [42, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.72/1.13 divides_points [44, 3] (w:1, o:61, a:1, s:1, b:0),
% 0.72/1.13 before_on_line [45, 3] (w:1, o:66, a:1, s:1, b:0),
% 0.72/1.13 distinct_points [46, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.72/1.13 line_connecting [47, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.72/1.13 between_on_line [49, 4] (w:1, o:69, a:1, s:1, b:0),
% 0.72/1.13 distinct_lines [50, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.72/1.13 line [52, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.72/1.13 left_convergent_lines [53, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.72/1.13 point [54, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.72/1.13 intersection_point [55, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.72/1.13 parallel_through_point [56, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.72/1.13 alpha1 [57, 3] (w:1, o:62, a:1, s:1, b:0),
% 0.72/1.13 alpha2 [58, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.72/1.13 alpha3 [59, 4] (w:1, o:67, a:1, s:1, b:0),
% 0.72/1.13 alpha4 [60, 3] (w:1, o:63, a:1, s:1, b:0),
% 0.72/1.13 alpha5 [61, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.72/1.13 alpha6 [62, 4] (w:1, o:68, a:1, s:1, b:0),
% 0.72/1.13 alpha7 [63, 3] (w:1, o:64, a:1, s:1, b:0),
% 0.72/1.13 alpha8 [64, 3] (w:1, o:65, a:1, s:1, b:0),
% 0.72/1.13 alpha9 [65, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.72/1.13 skol1 [66, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.72/1.13 skol2 [67, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.72/1.13 skol3 [68, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.72/1.13 skol4 [69, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Starting Search:
% 0.72/1.13
% 0.72/1.13 *** allocated 15000 integers for clauses
% 0.72/1.13 *** allocated 22500 integers for clauses
% 0.72/1.13 *** allocated 33750 integers for clauses
% 0.72/1.13
% 0.72/1.13 Bliksems!, er is een bewijs:
% 0.72/1.13 % SZS status Theorem
% 0.72/1.13 % SZS output start Refutation
% 0.72/1.13
% 0.72/1.13 (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X ) }.
% 0.72/1.13 (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.72/1.13 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.72/1.13 (50) {G0,W11,D3,L4,V2,M2} I { ! line( X ), ! line( Y ),
% 0.72/1.13 unequally_directed_lines( X, reverse_line( Y ) ),
% 0.72/1.13 unequally_directed_lines( X, Y ) }.
% 0.72/1.13 (51) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y ), !
% 0.72/1.13 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 0.72/1.13 X, reverse_line( Y ) ), left_convergent_lines( X, Y ) }.
% 0.72/1.13 (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y ) }.
% 0.72/1.13 (57) {G0,W5,D3,L2,V1,M2} I { line( reverse_line( X ) ), ! line( X ) }.
% 0.72/1.13 (64) {G0,W8,D4,L1,V2,M1} I { ! unequally_directed_lines( line_connecting( X
% 0.72/1.13 , Y ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.72/1.13 (65) {G0,W5,D3,L1,V2,M1} I { ! unequally_directed_lines(
% 0.72/1.13 parallel_through_point( Y, X ), Y ) }.
% 0.72/1.13 (67) {G0,W2,D2,L1,V0,M1} I { line( skol1 ) }.
% 0.72/1.13 (75) {G1,W6,D3,L2,V1,M1} F(50);r(43) { ! line( X ),
% 0.72/1.13 unequally_directed_lines( X, reverse_line( X ) ) }.
% 0.72/1.13 (77) {G1,W6,D4,L2,V1,M2} R(57,57) { line( reverse_line( reverse_line( X ) )
% 0.72/1.13 ), ! line( X ) }.
% 0.72/1.13 (78) {G1,W3,D3,L1,V0,M1} R(57,67) { line( reverse_line( skol1 ) ) }.
% 0.72/1.13 (79) {G2,W4,D4,L1,V0,M1} R(78,57) { line( reverse_line( reverse_line( skol1
% 0.72/1.13 ) ) ) }.
% 0.72/1.13 (82) {G3,W5,D5,L1,V0,M1} R(79,57) { line( reverse_line( reverse_line(
% 0.72/1.13 reverse_line( skol1 ) ) ) ) }.
% 0.72/1.13 (83) {G4,W6,D6,L1,V0,M1} R(82,57) { line( reverse_line( reverse_line(
% 0.72/1.13 reverse_line( reverse_line( skol1 ) ) ) ) ) }.
% 0.72/1.13 (92) {G5,W8,D8,L1,V0,M1} R(83,77) { line( reverse_line( reverse_line(
% 0.72/1.13 reverse_line( reverse_line( reverse_line( reverse_line( skol1 ) ) ) ) ) )
% 0.72/1.13 ) }.
% 0.72/1.13 (122) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines( Y, X ),
% 0.72/1.13 unequally_directed_lines( X, Y ) }.
% 0.72/1.13 (133) {G2,W5,D3,L1,V2,M1} R(122,65) { ! unequally_directed_lines( X,
% 0.72/1.13 parallel_through_point( X, Y ) ) }.
% 0.72/1.13 (134) {G3,W8,D3,L2,V3,M2} R(133,44) { ! unequally_directed_lines( Y, X ),
% 0.72/1.13 unequally_directed_lines( X, parallel_through_point( Y, Z ) ) }.
% 0.72/1.13 (152) {G4,W8,D3,L2,V2,M1} R(134,75) { ! line( X ), unequally_directed_lines
% 0.72/1.13 ( reverse_line( X ), parallel_through_point( X, Y ) ) }.
% 0.72/1.13 (379) {G1,W7,D3,L2,V2,M2} S(51);r(53);r(53) { ! unequally_directed_lines( X
% 0.72/1.13 , reverse_line( Y ) ), ! unequally_directed_lines( X, Y ) }.
% 0.72/1.13 (409) {G2,W7,D3,L2,V2,M2} R(379,122) { ! unequally_directed_lines( Y, X ),
% 0.72/1.13 ! unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.72/1.13 (479) {G3,W10,D3,L3,V3,M3} R(409,44) { unequally_directed_lines( Z,
% 0.72/1.13 reverse_line( X ) ), ! unequally_directed_lines( Z, Y ), !
% 0.72/1.13 unequally_directed_lines( X, Y ) }.
% 0.72/1.13 (480) {G4,W7,D3,L2,V2,M2} F(479) { ! unequally_directed_lines( X, Y ),
% 0.72/1.13 unequally_directed_lines( X, reverse_line( X ) ) }.
% 0.72/1.13 (499) {G5,W5,D3,L1,V2,M1} R(480,64) { ! unequally_directed_lines(
% 0.72/1.13 line_connecting( X, X ), Y ) }.
% 0.72/1.13 (504) {G6,W5,D3,L1,V2,M1} R(499,134) { ! unequally_directed_lines( X,
% 0.72/1.13 line_connecting( Y, Y ) ) }.
% 0.72/1.13 (505) {G7,W3,D2,L1,V2,M1} R(504,44);r(504) { ! unequally_directed_lines( Z
% 0.72/1.13 , X ) }.
% 0.72/1.13 (507) {G8,W2,D2,L1,V1,M1} R(505,152) { ! line( X ) }.
% 0.72/1.13 (508) {G9,W0,D0,L0,V0,M0} R(507,92) { }.
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 % SZS output end Refutation
% 0.72/1.13 found a proof!
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Unprocessed initial clauses:
% 0.72/1.13
% 0.72/1.13 (510) {G0,W10,D3,L3,V2,M3} { ! apart_point_and_line( X, Y ),
% 0.72/1.13 left_apart_point( X, Y ), left_apart_point( X, reverse_line( Y ) ) }.
% 0.72/1.13 (511) {G0,W6,D2,L2,V2,M2} { ! left_apart_point( X, Y ),
% 0.72/1.13 apart_point_and_line( X, Y ) }.
% 0.72/1.13 (512) {G0,W7,D3,L2,V2,M2} { ! left_apart_point( X, reverse_line( Y ) ),
% 0.72/1.13 apart_point_and_line( X, Y ) }.
% 0.72/1.13 (513) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.72/1.13 unequally_directed_lines( X, Y ) }.
% 0.72/1.13 (514) {G0,W7,D3,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.72/1.13 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.72/1.13 (515) {G0,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.72/1.13 unequally_directed_lines( X, reverse_line( Y ) ), convergent_lines( X, Y
% 0.72/1.13 ) }.
% 0.72/1.13 (516) {G0,W12,D2,L3,V3,M3} { ! divides_points( Z, X, Y ), alpha1( X, Y, Z
% 0.72/1.13 ), alpha4( X, Y, Z ) }.
% 0.72/1.13 (517) {G0,W8,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), divides_points( Z, X, Y )
% 0.72/1.13 }.
% 0.72/1.13 (518) {G0,W8,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), divides_points( Z, X, Y )
% 0.72/1.13 }.
% 0.72/1.13 (519) {G0,W8,D3,L2,V3,M2} { ! alpha4( X, Y, Z ), left_apart_point( X,
% 0.72/1.13 reverse_line( Z ) ) }.
% 0.72/1.13 (520) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), left_apart_point( Y, Z )
% 0.72/1.13 }.
% 0.72/1.13 (521) {G0,W11,D3,L3,V3,M3} { ! left_apart_point( X, reverse_line( Z ) ), !
% 0.72/1.13 left_apart_point( Y, Z ), alpha4( X, Y, Z ) }.
% 0.72/1.13 (522) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), left_apart_point( X, Z )
% 0.72/1.13 }.
% 0.72/1.13 (523) {G0,W8,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), left_apart_point( Y,
% 0.72/1.13 reverse_line( Z ) ) }.
% 0.72/1.13 (524) {G0,W11,D3,L3,V3,M3} { ! left_apart_point( X, Z ), !
% 0.72/1.13 left_apart_point( Y, reverse_line( Z ) ), alpha1( X, Y, Z ) }.
% 0.72/1.13 (525) {G0,W7,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), distinct_points(
% 0.72/1.13 Y, Z ) }.
% 0.72/1.13 (526) {G0,W8,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), alpha7( X, Y, Z )
% 0.72/1.13 }.
% 0.72/1.13 (527) {G0,W11,D2,L3,V3,M3} { ! distinct_points( Y, Z ), ! alpha7( X, Y, Z
% 0.72/1.13 ), before_on_line( X, Y, Z ) }.
% 0.72/1.13 (528) {G0,W7,D2,L2,V3,M2} { ! alpha7( X, Y, Z ), alpha2( X, Y ) }.
% 0.72/1.13 (529) {G0,W8,D2,L2,V3,M2} { ! alpha7( X, Y, Z ), alpha8( X, Y, Z ) }.
% 0.72/1.13 (530) {G0,W11,D2,L3,V3,M3} { ! alpha2( X, Y ), ! alpha8( X, Y, Z ), alpha7
% 0.72/1.13 ( X, Y, Z ) }.
% 0.72/1.13 (531) {G0,W7,D2,L2,V3,M2} { ! alpha8( X, Y, Z ), alpha5( X, Z ) }.
% 0.72/1.13 (532) {G0,W9,D3,L2,V3,M2} { ! alpha8( X, Y, Z ), !
% 0.72/1.13 unequally_directed_lines( X, line_connecting( Y, Z ) ) }.
% 0.72/1.13 (533) {G0,W12,D3,L3,V3,M3} { ! alpha5( X, Z ), unequally_directed_lines( X
% 0.72/1.13 , line_connecting( Y, Z ) ), alpha8( X, Y, Z ) }.
% 0.72/1.13 (534) {G0,W6,D2,L2,V2,M2} { ! alpha5( X, Y ), ! left_apart_point( Y, X )
% 0.72/1.13 }.
% 0.72/1.13 (535) {G0,W7,D3,L2,V2,M2} { ! alpha5( X, Y ), ! left_apart_point( Y,
% 0.72/1.13 reverse_line( X ) ) }.
% 0.72/1.13 (536) {G0,W10,D3,L3,V2,M3} { left_apart_point( Y, X ), left_apart_point( Y
% 0.72/1.13 , reverse_line( X ) ), alpha5( X, Y ) }.
% 0.72/1.13 (537) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), ! left_apart_point( Y, X )
% 0.72/1.13 }.
% 0.72/1.13 (538) {G0,W7,D3,L2,V2,M2} { ! alpha2( X, Y ), ! left_apart_point( Y,
% 0.72/1.13 reverse_line( X ) ) }.
% 0.72/1.13 (539) {G0,W10,D3,L3,V2,M3} { left_apart_point( Y, X ), left_apart_point( Y
% 0.72/1.13 , reverse_line( X ) ), alpha2( X, Y ) }.
% 0.72/1.13 (540) {G0,W15,D2,L3,V4,M3} { ! between_on_line( X, Y, Z, T ), alpha3( X, Y
% 0.72/1.13 , Z, T ), alpha6( X, Y, Z, T ) }.
% 0.72/1.13 (541) {G0,W10,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), between_on_line( X, Y
% 0.72/1.13 , Z, T ) }.
% 0.72/1.13 (542) {G0,W10,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), between_on_line( X, Y
% 0.72/1.13 , Z, T ) }.
% 0.72/1.13 (543) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, T,
% 0.72/1.13 Z ) }.
% 0.72/1.13 (544) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, Z,
% 0.72/1.13 Y ) }.
% 0.72/1.13 (545) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, T, Z ), ! before_on_line
% 0.72/1.13 ( X, Z, Y ), alpha6( X, Y, Z, T ) }.
% 0.72/1.13 (546) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Y,
% 0.72/1.13 Z ) }.
% 0.72/1.13 (547) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Z,
% 0.72/1.13 T ) }.
% 0.72/1.13 (548) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, Y, Z ), ! before_on_line
% 0.72/1.13 ( X, Z, T ), alpha3( X, Y, Z, T ) }.
% 0.72/1.13 (549) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.72/1.13 (550) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.72/1.13 , Z ), distinct_points( Y, Z ) }.
% 0.72/1.13 (551) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.72/1.13 (552) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 0.72/1.13 ), distinct_lines( Y, Z ) }.
% 0.72/1.13 (553) {G0,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, X ) }.
% 0.72/1.13 (554) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.72/1.13 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.72/1.13 (555) {G0,W13,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 0.72/1.13 unequally_directed_lines( X, reverse_line( Y ) ), alpha9( X, Z ),
% 0.72/1.13 unequally_directed_lines( Y, Z ) }.
% 0.72/1.13 (556) {G0,W14,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 0.72/1.13 unequally_directed_lines( X, reverse_line( Y ) ), alpha9( X, Z ),
% 0.72/1.13 unequally_directed_lines( Y, reverse_line( Z ) ) }.
% 0.72/1.13 (557) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), unequally_directed_lines( X
% 0.72/1.13 , Y ) }.
% 0.72/1.13 (558) {G0,W7,D3,L2,V2,M2} { ! alpha9( X, Y ), unequally_directed_lines( X
% 0.72/1.13 , reverse_line( Y ) ) }.
% 0.72/1.13 (559) {G0,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.72/1.13 unequally_directed_lines( X, reverse_line( Y ) ), alpha9( X, Y ) }.
% 0.72/1.13 (560) {G0,W11,D3,L4,V2,M4} { ! line( X ), ! line( Y ),
% 0.72/1.13 unequally_directed_lines( X, Y ), unequally_directed_lines( X,
% 0.72/1.13 reverse_line( Y ) ) }.
% 0.72/1.13 (561) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y ), !
% 0.72/1.13 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 0.72/1.13 X, Y ), left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.72/1.13 (562) {G0,W3,D2,L1,V2,M1} { ! left_apart_point( X, Y ) }.
% 0.72/1.13 (563) {G0,W4,D3,L1,V2,M1} { ! left_apart_point( X, reverse_line( Y ) ) }.
% 0.72/1.13 (564) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 0.72/1.13 (565) {G0,W4,D3,L1,V2,M1} { ! left_convergent_lines( X, reverse_line( Y )
% 0.72/1.13 ) }.
% 0.72/1.13 (566) {G0,W11,D3,L4,V2,M4} { ! point( X ), ! point( Y ), ! distinct_points
% 0.72/1.13 ( X, Y ), line( line_connecting( X, Y ) ) }.
% 0.72/1.13 (567) {G0,W15,D3,L5,V2,M5} { ! line( X ), ! line( Y ), !
% 0.72/1.13 unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.72/1.13 reverse_line( Y ) ), point( intersection_point( X, Y ) ) }.
% 0.72/1.13 (568) {G0,W8,D3,L3,V2,M3} { ! point( Y ), ! line( X ), line(
% 0.72/1.13 parallel_through_point( X, Y ) ) }.
% 0.72/1.13 (569) {G0,W5,D3,L2,V1,M2} { ! line( X ), line( reverse_line( X ) ) }.
% 0.72/1.13 (570) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.72/1.13 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.72/1.13 (571) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.72/1.13 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.72/1.13 (572) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.72/1.13 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 0.72/1.13 ( intersection_point( X, Y ), X ) }.
% 0.72/1.13 (573) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.72/1.13 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 0.72/1.13 ( intersection_point( X, Y ), Y ) }.
% 0.72/1.13 (574) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 0.72/1.13 parallel_through_point( Y, X ) ) }.
% 0.72/1.13 (575) {G0,W4,D3,L1,V1,M1} { ! distinct_lines( X, reverse_line( X ) ) }.
% 0.72/1.13 (576) {G0,W8,D4,L1,V2,M1} { ! unequally_directed_lines( line_connecting( X
% 0.72/1.13 , Y ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.72/1.13 (577) {G0,W5,D3,L1,V2,M1} { ! unequally_directed_lines(
% 0.72/1.13 parallel_through_point( Y, X ), Y ) }.
% 0.72/1.13 (578) {G0,W34,D3,L10,V4,M10} { ! distinct_points( X, Y ), ! distinct_lines
% 0.72/1.13 ( Z, T ), left_apart_point( X, Z ), left_apart_point( Y, Z ),
% 0.72/1.13 left_apart_point( X, T ), left_apart_point( Y, T ), left_apart_point( X,
% 0.72/1.13 reverse_line( Z ) ), left_apart_point( Y, reverse_line( Z ) ),
% 0.72/1.13 left_apart_point( X, reverse_line( T ) ), left_apart_point( Y,
% 0.72/1.13 reverse_line( T ) ) }.
% 0.72/1.13 (579) {G0,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), ! left_apart_point
% 0.72/1.13 ( X, Z ), left_apart_point( Y, Z ), left_convergent_lines(
% 0.72/1.13 line_connecting( X, Y ), Z ) }.
% 0.72/1.13 (580) {G0,W9,D2,L3,V3,M3} { ! left_apart_point( X, Y ), distinct_points( X
% 0.72/1.13 , Z ), left_apart_point( Z, Y ) }.
% 0.72/1.13 (581) {G0,W13,D3,L4,V3,M4} { ! left_apart_point( X, Y ), !
% 0.72/1.13 unequally_directed_lines( Y, Z ), distinct_lines( Y, Z ),
% 0.72/1.13 left_apart_point( X, reverse_line( Z ) ) }.
% 0.72/1.13 (582) {G0,W9,D2,L3,V3,M3} { ! left_convergent_lines( X, Y ),
% 0.72/1.13 unequally_directed_lines( Y, Z ), left_convergent_lines( X, Z ) }.
% 0.72/1.13 (583) {G0,W2,D2,L1,V0,M1} { line( skol1 ) }.
% 0.72/1.13 (584) {G0,W3,D2,L1,V0,M1} { distinct_points( skol2, skol4 ) }.
% 0.72/1.13 (585) {G0,W3,D2,L1,V0,M1} { distinct_points( skol3, skol4 ) }.
% 0.72/1.13 (586) {G0,W3,D2,L1,V0,M1} { distinct_points( skol2, skol3 ) }.
% 0.72/1.13 (587) {G0,W5,D2,L1,V0,M1} { between_on_line( skol1, skol2, skol3, skol4 )
% 0.72/1.13 }.
% 0.72/1.13 (588) {G0,W5,D2,L1,V0,M1} { between_on_line( skol1, skol2, skol4, skol3 )
% 0.72/1.13 }.
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Total Proof:
% 0.72/1.13
% 0.72/1.13 subsumption: (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X
% 0.72/1.13 ) }.
% 0.72/1.13 parent0: (553) {G0,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, X )
% 0.72/1.13 }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z )
% 0.72/1.13 , unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y )
% 0.72/1.13 }.
% 0.72/1.13 parent0: (554) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.72/1.13 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 Z := Z
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 2
% 0.72/1.13 1 ==> 0
% 0.72/1.13 2 ==> 1
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (50) {G0,W11,D3,L4,V2,M2} I { ! line( X ), ! line( Y ),
% 0.72/1.13 unequally_directed_lines( X, reverse_line( Y ) ),
% 0.72/1.13 unequally_directed_lines( X, Y ) }.
% 0.72/1.13 parent0: (560) {G0,W11,D3,L4,V2,M4} { ! line( X ), ! line( Y ),
% 0.72/1.13 unequally_directed_lines( X, Y ), unequally_directed_lines( X,
% 0.72/1.13 reverse_line( Y ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 2 ==> 3
% 0.72/1.13 3 ==> 2
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (51) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y
% 0.72/1.13 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.72/1.13 left_convergent_lines( X, reverse_line( Y ) ), left_convergent_lines( X,
% 0.72/1.13 Y ) }.
% 0.72/1.13 parent0: (561) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y ),
% 0.72/1.13 ! unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines
% 0.72/1.13 ( X, Y ), left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 1 ==> 1
% 0.72/1.13 2 ==> 3
% 0.72/1.13 3 ==> 2
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.72/1.13 }.
% 0.72/1.13 parent0: (564) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 Y := Y
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (57) {G0,W5,D3,L2,V1,M2} I { line( reverse_line( X ) ), ! line
% 0.72/1.13 ( X ) }.
% 0.72/1.13 parent0: (569) {G0,W5,D3,L2,V1,M2} { ! line( X ), line( reverse_line( X )
% 0.72/1.13 ) }.
% 0.72/1.13 substitution0:
% 0.72/1.13 X := X
% 0.72/1.13 end
% 0.72/1.13 permutation0:
% 0.72/1.13 0 ==> 1
% 0.72/1.13 1 ==> 0
% 0.72/1.13 end
% 0.72/1.13
% 0.72/1.13 subsumption: (64) {G0,W8,D4,L1,V2,M1} I { ! unequally_directed_lines(
% 0.72/1.13 line_connecting( X, Y ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.78/1.13 parent0: (576) {G0,W8,D4,L1,V2,M1} { ! unequally_directed_lines(
% 0.78/1.13 line_connecting( X, Y ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := X
% 0.78/1.13 Y := Y
% 0.78/1.13 end
% 0.78/1.13 permutation0:
% 0.78/1.13 0 ==> 0
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 subsumption: (65) {G0,W5,D3,L1,V2,M1} I { ! unequally_directed_lines(
% 0.78/1.13 parallel_through_point( Y, X ), Y ) }.
% 0.78/1.13 parent0: (577) {G0,W5,D3,L1,V2,M1} { ! unequally_directed_lines(
% 0.78/1.13 parallel_through_point( Y, X ), Y ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := X
% 0.78/1.13 Y := Y
% 0.78/1.13 end
% 0.78/1.13 permutation0:
% 0.78/1.13 0 ==> 0
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 subsumption: (67) {G0,W2,D2,L1,V0,M1} I { line( skol1 ) }.
% 0.78/1.13 parent0: (583) {G0,W2,D2,L1,V0,M1} { line( skol1 ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 end
% 0.78/1.13 permutation0:
% 0.78/1.13 0 ==> 0
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 factor: (674) {G0,W9,D3,L3,V1,M3} { ! line( X ), unequally_directed_lines
% 0.78/1.13 ( X, reverse_line( X ) ), unequally_directed_lines( X, X ) }.
% 0.78/1.13 parent0[0, 1]: (50) {G0,W11,D3,L4,V2,M2} I { ! line( X ), ! line( Y ),
% 0.78/1.13 unequally_directed_lines( X, reverse_line( Y ) ),
% 0.78/1.13 unequally_directed_lines( X, Y ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := X
% 0.78/1.13 Y := X
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 resolution: (675) {G1,W6,D3,L2,V1,M2} { ! line( X ),
% 0.78/1.13 unequally_directed_lines( X, reverse_line( X ) ) }.
% 0.78/1.13 parent0[0]: (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X )
% 0.78/1.13 }.
% 0.78/1.13 parent1[2]: (674) {G0,W9,D3,L3,V1,M3} { ! line( X ),
% 0.78/1.13 unequally_directed_lines( X, reverse_line( X ) ),
% 0.78/1.13 unequally_directed_lines( X, X ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := X
% 0.78/1.13 end
% 0.78/1.13 substitution1:
% 0.78/1.13 X := X
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 subsumption: (75) {G1,W6,D3,L2,V1,M1} F(50);r(43) { ! line( X ),
% 0.78/1.13 unequally_directed_lines( X, reverse_line( X ) ) }.
% 0.78/1.13 parent0: (675) {G1,W6,D3,L2,V1,M2} { ! line( X ), unequally_directed_lines
% 0.78/1.13 ( X, reverse_line( X ) ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := X
% 0.78/1.13 end
% 0.78/1.13 permutation0:
% 0.78/1.13 0 ==> 0
% 0.78/1.13 1 ==> 1
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 resolution: (676) {G1,W6,D4,L2,V1,M2} { line( reverse_line( reverse_line(
% 0.78/1.13 X ) ) ), ! line( X ) }.
% 0.78/1.13 parent0[1]: (57) {G0,W5,D3,L2,V1,M2} I { line( reverse_line( X ) ), ! line
% 0.78/1.13 ( X ) }.
% 0.78/1.13 parent1[0]: (57) {G0,W5,D3,L2,V1,M2} I { line( reverse_line( X ) ), ! line
% 0.78/1.13 ( X ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := reverse_line( X )
% 0.78/1.13 end
% 0.78/1.13 substitution1:
% 0.78/1.13 X := X
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 subsumption: (77) {G1,W6,D4,L2,V1,M2} R(57,57) { line( reverse_line(
% 0.78/1.13 reverse_line( X ) ) ), ! line( X ) }.
% 0.78/1.13 parent0: (676) {G1,W6,D4,L2,V1,M2} { line( reverse_line( reverse_line( X )
% 0.78/1.13 ) ), ! line( X ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := X
% 0.78/1.13 end
% 0.78/1.13 permutation0:
% 0.78/1.13 0 ==> 0
% 0.78/1.13 1 ==> 1
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 resolution: (677) {G1,W3,D3,L1,V0,M1} { line( reverse_line( skol1 ) ) }.
% 0.78/1.13 parent0[1]: (57) {G0,W5,D3,L2,V1,M2} I { line( reverse_line( X ) ), ! line
% 0.78/1.13 ( X ) }.
% 0.78/1.13 parent1[0]: (67) {G0,W2,D2,L1,V0,M1} I { line( skol1 ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := skol1
% 0.78/1.13 end
% 0.78/1.13 substitution1:
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 subsumption: (78) {G1,W3,D3,L1,V0,M1} R(57,67) { line( reverse_line( skol1
% 0.78/1.13 ) ) }.
% 0.78/1.13 parent0: (677) {G1,W3,D3,L1,V0,M1} { line( reverse_line( skol1 ) ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 end
% 0.78/1.13 permutation0:
% 0.78/1.13 0 ==> 0
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 resolution: (678) {G1,W4,D4,L1,V0,M1} { line( reverse_line( reverse_line(
% 0.78/1.13 skol1 ) ) ) }.
% 0.78/1.13 parent0[1]: (57) {G0,W5,D3,L2,V1,M2} I { line( reverse_line( X ) ), ! line
% 0.78/1.13 ( X ) }.
% 0.78/1.13 parent1[0]: (78) {G1,W3,D3,L1,V0,M1} R(57,67) { line( reverse_line( skol1 )
% 0.78/1.13 ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := reverse_line( skol1 )
% 0.78/1.13 end
% 0.78/1.13 substitution1:
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 subsumption: (79) {G2,W4,D4,L1,V0,M1} R(78,57) { line( reverse_line(
% 0.78/1.13 reverse_line( skol1 ) ) ) }.
% 0.78/1.13 parent0: (678) {G1,W4,D4,L1,V0,M1} { line( reverse_line( reverse_line(
% 0.78/1.13 skol1 ) ) ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 end
% 0.78/1.13 permutation0:
% 0.78/1.13 0 ==> 0
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 resolution: (679) {G1,W5,D5,L1,V0,M1} { line( reverse_line( reverse_line(
% 0.78/1.13 reverse_line( skol1 ) ) ) ) }.
% 0.78/1.13 parent0[1]: (57) {G0,W5,D3,L2,V1,M2} I { line( reverse_line( X ) ), ! line
% 0.78/1.13 ( X ) }.
% 0.78/1.13 parent1[0]: (79) {G2,W4,D4,L1,V0,M1} R(78,57) { line( reverse_line(
% 0.78/1.13 reverse_line( skol1 ) ) ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := reverse_line( reverse_line( skol1 ) )
% 0.78/1.13 end
% 0.78/1.13 substitution1:
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 subsumption: (82) {G3,W5,D5,L1,V0,M1} R(79,57) { line( reverse_line(
% 0.78/1.13 reverse_line( reverse_line( skol1 ) ) ) ) }.
% 0.78/1.13 parent0: (679) {G1,W5,D5,L1,V0,M1} { line( reverse_line( reverse_line(
% 0.78/1.13 reverse_line( skol1 ) ) ) ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 end
% 0.78/1.13 permutation0:
% 0.78/1.13 0 ==> 0
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 resolution: (680) {G1,W6,D6,L1,V0,M1} { line( reverse_line( reverse_line(
% 0.78/1.13 reverse_line( reverse_line( skol1 ) ) ) ) ) }.
% 0.78/1.13 parent0[1]: (57) {G0,W5,D3,L2,V1,M2} I { line( reverse_line( X ) ), ! line
% 0.78/1.13 ( X ) }.
% 0.78/1.13 parent1[0]: (82) {G3,W5,D5,L1,V0,M1} R(79,57) { line( reverse_line(
% 0.78/1.13 reverse_line( reverse_line( skol1 ) ) ) ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := reverse_line( reverse_line( reverse_line( skol1 ) ) )
% 0.78/1.13 end
% 0.78/1.13 substitution1:
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 subsumption: (83) {G4,W6,D6,L1,V0,M1} R(82,57) { line( reverse_line(
% 0.78/1.13 reverse_line( reverse_line( reverse_line( skol1 ) ) ) ) ) }.
% 0.78/1.13 parent0: (680) {G1,W6,D6,L1,V0,M1} { line( reverse_line( reverse_line(
% 0.78/1.13 reverse_line( reverse_line( skol1 ) ) ) ) ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 end
% 0.78/1.13 permutation0:
% 0.78/1.13 0 ==> 0
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 resolution: (681) {G2,W8,D8,L1,V0,M1} { line( reverse_line( reverse_line(
% 0.78/1.13 reverse_line( reverse_line( reverse_line( reverse_line( skol1 ) ) ) ) ) )
% 0.78/1.13 ) }.
% 0.78/1.13 parent0[1]: (77) {G1,W6,D4,L2,V1,M2} R(57,57) { line( reverse_line(
% 0.78/1.13 reverse_line( X ) ) ), ! line( X ) }.
% 0.78/1.13 parent1[0]: (83) {G4,W6,D6,L1,V0,M1} R(82,57) { line( reverse_line(
% 0.78/1.13 reverse_line( reverse_line( reverse_line( skol1 ) ) ) ) ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := reverse_line( reverse_line( reverse_line( reverse_line( skol1 ) ) )
% 0.78/1.13 )
% 0.78/1.13 end
% 0.78/1.13 substitution1:
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 subsumption: (92) {G5,W8,D8,L1,V0,M1} R(83,77) { line( reverse_line(
% 0.78/1.13 reverse_line( reverse_line( reverse_line( reverse_line( reverse_line(
% 0.78/1.13 skol1 ) ) ) ) ) ) ) }.
% 0.78/1.13 parent0: (681) {G2,W8,D8,L1,V0,M1} { line( reverse_line( reverse_line(
% 0.78/1.13 reverse_line( reverse_line( reverse_line( reverse_line( skol1 ) ) ) ) ) )
% 0.78/1.13 ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 end
% 0.78/1.13 permutation0:
% 0.78/1.13 0 ==> 0
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 resolution: (682) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X ),
% 0.78/1.13 ! unequally_directed_lines( X, Y ) }.
% 0.78/1.13 parent0[0]: (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X )
% 0.78/1.13 }.
% 0.78/1.13 parent1[0]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.78/1.13 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := X
% 0.78/1.13 end
% 0.78/1.13 substitution1:
% 0.78/1.13 X := X
% 0.78/1.13 Y := Y
% 0.78/1.13 Z := X
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 subsumption: (122) {G1,W6,D2,L2,V2,M2} R(44,43) { !
% 0.78/1.13 unequally_directed_lines( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.78/1.13 parent0: (682) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X ), !
% 0.78/1.13 unequally_directed_lines( X, Y ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := Y
% 0.78/1.13 Y := X
% 0.78/1.13 end
% 0.78/1.13 permutation0:
% 0.78/1.13 0 ==> 1
% 0.78/1.13 1 ==> 0
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 resolution: (684) {G1,W5,D3,L1,V2,M1} { ! unequally_directed_lines( X,
% 0.78/1.13 parallel_through_point( X, Y ) ) }.
% 0.78/1.13 parent0[0]: (65) {G0,W5,D3,L1,V2,M1} I { ! unequally_directed_lines(
% 0.78/1.13 parallel_through_point( Y, X ), Y ) }.
% 0.78/1.13 parent1[1]: (122) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines
% 0.78/1.13 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := Y
% 0.78/1.13 Y := X
% 0.78/1.13 end
% 0.78/1.13 substitution1:
% 0.78/1.13 X := parallel_through_point( X, Y )
% 0.78/1.13 Y := X
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 subsumption: (133) {G2,W5,D3,L1,V2,M1} R(122,65) { !
% 0.78/1.13 unequally_directed_lines( X, parallel_through_point( X, Y ) ) }.
% 0.78/1.13 parent0: (684) {G1,W5,D3,L1,V2,M1} { ! unequally_directed_lines( X,
% 0.78/1.13 parallel_through_point( X, Y ) ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := X
% 0.78/1.13 Y := Y
% 0.78/1.13 end
% 0.78/1.13 permutation0:
% 0.78/1.13 0 ==> 0
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 resolution: (685) {G1,W8,D3,L2,V3,M2} { unequally_directed_lines( Z,
% 0.78/1.13 parallel_through_point( X, Y ) ), ! unequally_directed_lines( X, Z ) }.
% 0.78/1.13 parent0[0]: (133) {G2,W5,D3,L1,V2,M1} R(122,65) { !
% 0.78/1.13 unequally_directed_lines( X, parallel_through_point( X, Y ) ) }.
% 0.78/1.13 parent1[0]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.78/1.13 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := X
% 0.78/1.13 Y := Y
% 0.78/1.13 end
% 0.78/1.13 substitution1:
% 0.78/1.13 X := X
% 0.78/1.13 Y := Z
% 0.78/1.13 Z := parallel_through_point( X, Y )
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 subsumption: (134) {G3,W8,D3,L2,V3,M2} R(133,44) { !
% 0.78/1.13 unequally_directed_lines( Y, X ), unequally_directed_lines( X,
% 0.78/1.13 parallel_through_point( Y, Z ) ) }.
% 0.78/1.13 parent0: (685) {G1,W8,D3,L2,V3,M2} { unequally_directed_lines( Z,
% 0.78/1.13 parallel_through_point( X, Y ) ), ! unequally_directed_lines( X, Z ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := Y
% 0.78/1.13 Y := Z
% 0.78/1.13 Z := X
% 0.78/1.13 end
% 0.78/1.13 permutation0:
% 0.78/1.13 0 ==> 1
% 0.78/1.13 1 ==> 0
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 resolution: (687) {G2,W8,D3,L2,V2,M2} { unequally_directed_lines(
% 0.78/1.13 reverse_line( X ), parallel_through_point( X, Y ) ), ! line( X ) }.
% 0.78/1.13 parent0[0]: (134) {G3,W8,D3,L2,V3,M2} R(133,44) { !
% 0.78/1.13 unequally_directed_lines( Y, X ), unequally_directed_lines( X,
% 0.78/1.13 parallel_through_point( Y, Z ) ) }.
% 0.78/1.13 parent1[1]: (75) {G1,W6,D3,L2,V1,M1} F(50);r(43) { ! line( X ),
% 0.78/1.13 unequally_directed_lines( X, reverse_line( X ) ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := reverse_line( X )
% 0.78/1.13 Y := X
% 0.78/1.13 Z := Y
% 0.78/1.13 end
% 0.78/1.13 substitution1:
% 0.78/1.13 X := X
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 subsumption: (152) {G4,W8,D3,L2,V2,M1} R(134,75) { ! line( X ),
% 0.78/1.13 unequally_directed_lines( reverse_line( X ), parallel_through_point( X, Y
% 0.78/1.13 ) ) }.
% 0.78/1.13 parent0: (687) {G2,W8,D3,L2,V2,M2} { unequally_directed_lines(
% 0.78/1.13 reverse_line( X ), parallel_through_point( X, Y ) ), ! line( X ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := X
% 0.78/1.13 Y := Y
% 0.78/1.13 end
% 0.78/1.13 permutation0:
% 0.78/1.13 0 ==> 1
% 0.78/1.13 1 ==> 0
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 resolution: (688) {G1,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y
% 0.78/1.13 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.78/1.13 left_convergent_lines( X, Y ) }.
% 0.78/1.13 parent0[0]: (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.78/1.13 }.
% 0.78/1.13 parent1[2]: (51) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y
% 0.78/1.13 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.78/1.13 left_convergent_lines( X, reverse_line( Y ) ), left_convergent_lines( X,
% 0.78/1.13 Y ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := X
% 0.78/1.13 Y := reverse_line( Y )
% 0.78/1.13 end
% 0.78/1.13 substitution1:
% 0.78/1.13 X := X
% 0.78/1.13 Y := Y
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 resolution: (690) {G1,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, Y )
% 0.78/1.13 , ! unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.78/1.13 parent0[0]: (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.78/1.13 }.
% 0.78/1.13 parent1[2]: (688) {G1,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y
% 0.78/1.13 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.78/1.13 left_convergent_lines( X, Y ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := X
% 0.78/1.13 Y := Y
% 0.78/1.13 end
% 0.78/1.13 substitution1:
% 0.78/1.13 X := X
% 0.78/1.13 Y := Y
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 subsumption: (379) {G1,W7,D3,L2,V2,M2} S(51);r(53);r(53) { !
% 0.78/1.13 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.78/1.13 unequally_directed_lines( X, Y ) }.
% 0.78/1.13 parent0: (690) {G1,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, Y ), !
% 0.78/1.13 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := X
% 0.78/1.13 Y := Y
% 0.78/1.13 end
% 0.78/1.13 permutation0:
% 0.78/1.13 0 ==> 1
% 0.78/1.13 1 ==> 0
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 resolution: (692) {G2,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X,
% 0.78/1.13 reverse_line( Y ) ), ! unequally_directed_lines( Y, X ) }.
% 0.78/1.13 parent0[1]: (379) {G1,W7,D3,L2,V2,M2} S(51);r(53);r(53) { !
% 0.78/1.13 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.78/1.13 unequally_directed_lines( X, Y ) }.
% 0.78/1.13 parent1[1]: (122) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines
% 0.78/1.13 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := X
% 0.78/1.13 Y := Y
% 0.78/1.13 end
% 0.78/1.13 substitution1:
% 0.78/1.13 X := X
% 0.78/1.13 Y := Y
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 subsumption: (409) {G2,W7,D3,L2,V2,M2} R(379,122) { !
% 0.78/1.13 unequally_directed_lines( Y, X ), ! unequally_directed_lines( X,
% 0.78/1.13 reverse_line( Y ) ) }.
% 0.78/1.13 parent0: (692) {G2,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X,
% 0.78/1.13 reverse_line( Y ) ), ! unequally_directed_lines( Y, X ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := X
% 0.78/1.13 Y := Y
% 0.78/1.13 end
% 0.78/1.13 permutation0:
% 0.78/1.13 0 ==> 1
% 0.78/1.13 1 ==> 0
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 resolution: (696) {G1,W10,D3,L3,V3,M3} { ! unequally_directed_lines( X, Y
% 0.78/1.13 ), unequally_directed_lines( Z, reverse_line( X ) ), !
% 0.78/1.13 unequally_directed_lines( Z, Y ) }.
% 0.78/1.13 parent0[1]: (409) {G2,W7,D3,L2,V2,M2} R(379,122) { !
% 0.78/1.13 unequally_directed_lines( Y, X ), ! unequally_directed_lines( X,
% 0.78/1.13 reverse_line( Y ) ) }.
% 0.78/1.13 parent1[1]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.78/1.13 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := Y
% 0.78/1.13 Y := X
% 0.78/1.13 end
% 0.78/1.13 substitution1:
% 0.78/1.13 X := Z
% 0.78/1.13 Y := Y
% 0.78/1.13 Z := reverse_line( X )
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 subsumption: (479) {G3,W10,D3,L3,V3,M3} R(409,44) {
% 0.78/1.13 unequally_directed_lines( Z, reverse_line( X ) ), !
% 0.78/1.13 unequally_directed_lines( Z, Y ), ! unequally_directed_lines( X, Y ) }.
% 0.78/1.13 parent0: (696) {G1,W10,D3,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.78/1.13 unequally_directed_lines( Z, reverse_line( X ) ), !
% 0.78/1.13 unequally_directed_lines( Z, Y ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := X
% 0.78/1.13 Y := Y
% 0.78/1.13 Z := Z
% 0.78/1.13 end
% 0.78/1.13 permutation0:
% 0.78/1.13 0 ==> 2
% 0.78/1.13 1 ==> 0
% 0.78/1.13 2 ==> 1
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 factor: (700) {G3,W7,D3,L2,V2,M2} { unequally_directed_lines( X,
% 0.78/1.13 reverse_line( X ) ), ! unequally_directed_lines( X, Y ) }.
% 0.78/1.13 parent0[1, 2]: (479) {G3,W10,D3,L3,V3,M3} R(409,44) {
% 0.78/1.13 unequally_directed_lines( Z, reverse_line( X ) ), !
% 0.78/1.13 unequally_directed_lines( Z, Y ), ! unequally_directed_lines( X, Y ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := X
% 0.78/1.13 Y := Y
% 0.78/1.13 Z := X
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 subsumption: (480) {G4,W7,D3,L2,V2,M2} F(479) { ! unequally_directed_lines
% 0.78/1.13 ( X, Y ), unequally_directed_lines( X, reverse_line( X ) ) }.
% 0.78/1.13 parent0: (700) {G3,W7,D3,L2,V2,M2} { unequally_directed_lines( X,
% 0.78/1.13 reverse_line( X ) ), ! unequally_directed_lines( X, Y ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := X
% 0.78/1.13 Y := Y
% 0.78/1.13 end
% 0.78/1.13 permutation0:
% 0.78/1.13 0 ==> 1
% 0.78/1.13 1 ==> 0
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 resolution: (701) {G1,W5,D3,L1,V2,M1} { ! unequally_directed_lines(
% 0.78/1.13 line_connecting( X, X ), Y ) }.
% 0.78/1.13 parent0[0]: (64) {G0,W8,D4,L1,V2,M1} I { ! unequally_directed_lines(
% 0.78/1.13 line_connecting( X, Y ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.78/1.13 parent1[1]: (480) {G4,W7,D3,L2,V2,M2} F(479) { ! unequally_directed_lines(
% 0.78/1.13 X, Y ), unequally_directed_lines( X, reverse_line( X ) ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := X
% 0.78/1.13 Y := X
% 0.78/1.13 end
% 0.78/1.13 substitution1:
% 0.78/1.13 X := line_connecting( X, X )
% 0.78/1.13 Y := Y
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 subsumption: (499) {G5,W5,D3,L1,V2,M1} R(480,64) { !
% 0.78/1.13 unequally_directed_lines( line_connecting( X, X ), Y ) }.
% 0.78/1.13 parent0: (701) {G1,W5,D3,L1,V2,M1} { ! unequally_directed_lines(
% 0.78/1.13 line_connecting( X, X ), Y ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := X
% 0.78/1.13 Y := Y
% 0.78/1.13 end
% 0.78/1.13 permutation0:
% 0.78/1.13 0 ==> 0
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 resolution: (702) {G4,W5,D3,L1,V2,M1} { ! unequally_directed_lines( Y,
% 0.78/1.13 line_connecting( X, X ) ) }.
% 0.78/1.13 parent0[0]: (499) {G5,W5,D3,L1,V2,M1} R(480,64) { !
% 0.78/1.13 unequally_directed_lines( line_connecting( X, X ), Y ) }.
% 0.78/1.13 parent1[1]: (134) {G3,W8,D3,L2,V3,M2} R(133,44) { !
% 0.78/1.13 unequally_directed_lines( Y, X ), unequally_directed_lines( X,
% 0.78/1.13 parallel_through_point( Y, Z ) ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := X
% 0.78/1.13 Y := parallel_through_point( Y, Z )
% 0.78/1.13 end
% 0.78/1.13 substitution1:
% 0.78/1.13 X := line_connecting( X, X )
% 0.78/1.13 Y := Y
% 0.78/1.13 Z := Z
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 subsumption: (504) {G6,W5,D3,L1,V2,M1} R(499,134) { !
% 0.78/1.13 unequally_directed_lines( X, line_connecting( Y, Y ) ) }.
% 0.78/1.13 parent0: (702) {G4,W5,D3,L1,V2,M1} { ! unequally_directed_lines( Y,
% 0.78/1.13 line_connecting( X, X ) ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := Y
% 0.78/1.13 Y := X
% 0.78/1.13 end
% 0.78/1.13 permutation0:
% 0.78/1.13 0 ==> 0
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 resolution: (703) {G1,W8,D3,L2,V3,M2} { unequally_directed_lines( Z,
% 0.78/1.13 line_connecting( Y, Y ) ), ! unequally_directed_lines( X, Z ) }.
% 0.78/1.13 parent0[0]: (504) {G6,W5,D3,L1,V2,M1} R(499,134) { !
% 0.78/1.13 unequally_directed_lines( X, line_connecting( Y, Y ) ) }.
% 0.78/1.13 parent1[0]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.78/1.13 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := X
% 0.78/1.13 Y := Y
% 0.78/1.13 end
% 0.78/1.13 substitution1:
% 0.78/1.13 X := X
% 0.78/1.13 Y := Z
% 0.78/1.13 Z := line_connecting( Y, Y )
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 resolution: (705) {G2,W3,D2,L1,V2,M1} { ! unequally_directed_lines( Z, X )
% 0.78/1.13 }.
% 0.78/1.13 parent0[0]: (504) {G6,W5,D3,L1,V2,M1} R(499,134) { !
% 0.78/1.13 unequally_directed_lines( X, line_connecting( Y, Y ) ) }.
% 0.78/1.13 parent1[0]: (703) {G1,W8,D3,L2,V3,M2} { unequally_directed_lines( Z,
% 0.78/1.13 line_connecting( Y, Y ) ), ! unequally_directed_lines( X, Z ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := X
% 0.78/1.13 Y := Y
% 0.78/1.13 end
% 0.78/1.13 substitution1:
% 0.78/1.13 X := Z
% 0.78/1.13 Y := Y
% 0.78/1.13 Z := X
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 subsumption: (505) {G7,W3,D2,L1,V2,M1} R(504,44);r(504) { !
% 0.78/1.13 unequally_directed_lines( Z, X ) }.
% 0.78/1.13 parent0: (705) {G2,W3,D2,L1,V2,M1} { ! unequally_directed_lines( Z, X )
% 0.78/1.13 }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := X
% 0.78/1.13 Y := T
% 0.78/1.13 Z := Z
% 0.78/1.13 end
% 0.78/1.13 permutation0:
% 0.78/1.13 0 ==> 0
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 resolution: (706) {G5,W2,D2,L1,V1,M1} { ! line( X ) }.
% 0.78/1.13 parent0[0]: (505) {G7,W3,D2,L1,V2,M1} R(504,44);r(504) { !
% 0.78/1.13 unequally_directed_lines( Z, X ) }.
% 0.78/1.13 parent1[1]: (152) {G4,W8,D3,L2,V2,M1} R(134,75) { ! line( X ),
% 0.78/1.13 unequally_directed_lines( reverse_line( X ), parallel_through_point( X, Y
% 0.78/1.13 ) ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := parallel_through_point( X, Y )
% 0.78/1.13 Y := Z
% 0.78/1.13 Z := reverse_line( X )
% 0.78/1.13 end
% 0.78/1.13 substitution1:
% 0.78/1.13 X := X
% 0.78/1.13 Y := Y
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 subsumption: (507) {G8,W2,D2,L1,V1,M1} R(505,152) { ! line( X ) }.
% 0.78/1.13 parent0: (706) {G5,W2,D2,L1,V1,M1} { ! line( X ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := X
% 0.78/1.13 end
% 0.78/1.13 permutation0:
% 0.78/1.13 0 ==> 0
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 resolution: (707) {G6,W0,D0,L0,V0,M0} { }.
% 0.78/1.13 parent0[0]: (507) {G8,W2,D2,L1,V1,M1} R(505,152) { ! line( X ) }.
% 0.78/1.13 parent1[0]: (92) {G5,W8,D8,L1,V0,M1} R(83,77) { line( reverse_line(
% 0.78/1.13 reverse_line( reverse_line( reverse_line( reverse_line( reverse_line(
% 0.78/1.13 skol1 ) ) ) ) ) ) ) }.
% 0.78/1.13 substitution0:
% 0.78/1.13 X := reverse_line( reverse_line( reverse_line( reverse_line(
% 0.78/1.13 reverse_line( reverse_line( skol1 ) ) ) ) ) )
% 0.78/1.13 end
% 0.78/1.13 substitution1:
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 subsumption: (508) {G9,W0,D0,L0,V0,M0} R(507,92) { }.
% 0.78/1.13 parent0: (707) {G6,W0,D0,L0,V0,M0} { }.
% 0.78/1.13 substitution0:
% 0.78/1.13 end
% 0.78/1.13 permutation0:
% 0.78/1.13 end
% 0.78/1.13
% 0.78/1.13 Proof check complete!
% 0.78/1.13
% 0.78/1.13 Memory use:
% 0.78/1.13
% 0.78/1.13 space for terms: 7122
% 0.78/1.13 space for clauses: 24686
% 0.78/1.13
% 0.78/1.13
% 0.78/1.13 clauses generated: 1361
% 0.78/1.13 clauses kept: 509
% 0.78/1.13 clauses selected: 141
% 0.78/1.13 clauses deleted: 22
% 0.78/1.13 clauses inuse deleted: 0
% 0.78/1.13
% 0.78/1.13 subsentry: 4823
% 0.78/1.13 literals s-matched: 3145
% 0.78/1.13 literals matched: 3092
% 0.78/1.13 full subsumption: 834
% 0.78/1.13
% 0.78/1.13 checksum: 751330569
% 0.78/1.13
% 0.78/1.13
% 0.78/1.13 Bliksem ended
%------------------------------------------------------------------------------