TSTP Solution File: GEO231+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO231+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 02:53:04 EDT 2022
% Result : Theorem 0.75s 1.14s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO231+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n015.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 01:45:43 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.75/1.13 *** allocated 10000 integers for termspace/termends
% 0.75/1.13 *** allocated 10000 integers for clauses
% 0.75/1.13 *** allocated 10000 integers for justifications
% 0.75/1.13 Bliksem 1.12
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 Automatic Strategy Selection
% 0.75/1.13
% 0.75/1.13
% 0.75/1.13 Clauses:
% 0.75/1.13
% 0.75/1.13 { ! apart_point_and_line( X, Y ), left_apart_point( X, Y ),
% 0.75/1.13 left_apart_point( X, reverse_line( Y ) ) }.
% 0.75/1.13 { ! left_apart_point( X, Y ), apart_point_and_line( X, Y ) }.
% 0.75/1.13 { ! left_apart_point( X, reverse_line( Y ) ), apart_point_and_line( X, Y )
% 0.75/1.13 }.
% 0.75/1.13 { ! convergent_lines( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.75/1.13 { ! convergent_lines( X, Y ), unequally_directed_lines( X, reverse_line( Y
% 0.75/1.13 ) ) }.
% 0.75/1.13 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.75/1.13 reverse_line( Y ) ), convergent_lines( X, Y ) }.
% 0.75/1.13 { ! divides_points( Z, X, Y ), alpha1( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.75/1.13 { ! alpha1( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.75/1.13 { ! alpha4( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.75/1.13 { ! alpha4( X, Y, Z ), left_apart_point( X, reverse_line( Z ) ) }.
% 0.75/1.13 { ! alpha4( X, Y, Z ), left_apart_point( Y, Z ) }.
% 0.75/1.13 { ! left_apart_point( X, reverse_line( Z ) ), ! left_apart_point( Y, Z ),
% 0.75/1.13 alpha4( X, Y, Z ) }.
% 0.75/1.13 { ! alpha1( X, Y, Z ), left_apart_point( X, Z ) }.
% 0.75/1.13 { ! alpha1( X, Y, Z ), left_apart_point( Y, reverse_line( Z ) ) }.
% 0.75/1.13 { ! left_apart_point( X, Z ), ! left_apart_point( Y, reverse_line( Z ) ),
% 0.75/1.13 alpha1( X, Y, Z ) }.
% 0.75/1.13 { ! before_on_line( X, Y, Z ), distinct_points( Y, Z ) }.
% 0.75/1.13 { ! before_on_line( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.75/1.13 { ! distinct_points( Y, Z ), ! alpha7( X, Y, Z ), before_on_line( X, Y, Z )
% 0.75/1.13 }.
% 0.75/1.13 { ! alpha7( X, Y, Z ), alpha2( X, Y ) }.
% 0.75/1.13 { ! alpha7( X, Y, Z ), alpha8( X, Y, Z ) }.
% 0.75/1.13 { ! alpha2( X, Y ), ! alpha8( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.75/1.13 { ! alpha8( X, Y, Z ), alpha5( X, Z ) }.
% 0.75/1.13 { ! alpha8( X, Y, Z ), ! unequally_directed_lines( X, line_connecting( Y, Z
% 0.75/1.13 ) ) }.
% 0.75/1.13 { ! alpha5( X, Z ), unequally_directed_lines( X, line_connecting( Y, Z ) )
% 0.75/1.13 , alpha8( X, Y, Z ) }.
% 0.75/1.13 { ! alpha5( X, Y ), ! left_apart_point( Y, X ) }.
% 0.75/1.13 { ! alpha5( X, Y ), ! left_apart_point( Y, reverse_line( X ) ) }.
% 0.75/1.13 { left_apart_point( Y, X ), left_apart_point( Y, reverse_line( X ) ),
% 0.75/1.13 alpha5( X, Y ) }.
% 0.75/1.13 { ! alpha2( X, Y ), ! left_apart_point( Y, X ) }.
% 0.75/1.13 { ! alpha2( X, Y ), ! left_apart_point( Y, reverse_line( X ) ) }.
% 0.75/1.13 { left_apart_point( Y, X ), left_apart_point( Y, reverse_line( X ) ),
% 0.75/1.13 alpha2( X, Y ) }.
% 0.75/1.13 { ! between_on_line( X, Y, Z, T ), alpha3( X, Y, Z, T ), alpha6( X, Y, Z, T
% 0.75/1.13 ) }.
% 0.75/1.13 { ! alpha3( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.75/1.13 { ! alpha6( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.75/1.13 { ! alpha6( X, Y, Z, T ), before_on_line( X, T, Z ) }.
% 0.75/1.13 { ! alpha6( X, Y, Z, T ), before_on_line( X, Z, Y ) }.
% 0.75/1.13 { ! before_on_line( X, T, Z ), ! before_on_line( X, Z, Y ), alpha6( X, Y, Z
% 0.75/1.13 , T ) }.
% 0.75/1.13 { ! alpha3( X, Y, Z, T ), before_on_line( X, Y, Z ) }.
% 0.75/1.13 { ! alpha3( X, Y, Z, T ), before_on_line( X, Z, T ) }.
% 0.75/1.13 { ! before_on_line( X, Y, Z ), ! before_on_line( X, Z, T ), alpha3( X, Y, Z
% 0.75/1.13 , T ) }.
% 0.75/1.13 { ! distinct_points( X, X ) }.
% 0.75/1.13 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.75/1.13 ) }.
% 0.75/1.13 { ! distinct_lines( X, X ) }.
% 0.75/1.13 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.75/1.13 }.
% 0.75/1.13 { ! unequally_directed_lines( X, X ) }.
% 0.75/1.13 { ! unequally_directed_lines( X, Y ), unequally_directed_lines( X, Z ),
% 0.75/1.13 unequally_directed_lines( Y, Z ) }.
% 0.75/1.13 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.75/1.13 reverse_line( Y ) ), alpha9( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.75/1.13 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.75/1.13 reverse_line( Y ) ), alpha9( X, Z ), unequally_directed_lines( Y,
% 0.75/1.13 reverse_line( Z ) ) }.
% 0.75/1.13 { ! alpha9( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.75/1.13 { ! alpha9( X, Y ), unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.75/1.13 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.75/1.13 reverse_line( Y ) ), alpha9( X, Y ) }.
% 0.75/1.13 { ! line( X ), ! line( Y ), unequally_directed_lines( X, Y ),
% 0.75/1.13 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.75/1.13 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.75/1.13 reverse_line( Y ) ), left_convergent_lines( X, Y ), left_convergent_lines
% 0.75/1.13 ( X, reverse_line( Y ) ) }.
% 0.75/1.14 { ! left_apart_point( X, Y ) }.
% 0.75/1.14 { ! left_apart_point( X, reverse_line( Y ) ) }.
% 0.75/1.14 { ! left_convergent_lines( X, Y ) }.
% 0.75/1.14 { ! left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.75/1.14 { ! point( X ), ! point( Y ), ! distinct_points( X, Y ), line(
% 0.75/1.14 line_connecting( X, Y ) ) }.
% 0.75/1.14 { ! line( X ), ! line( Y ), ! unequally_directed_lines( X, Y ), !
% 0.75/1.14 unequally_directed_lines( X, reverse_line( Y ) ), point(
% 0.75/1.14 intersection_point( X, Y ) ) }.
% 0.75/1.14 { ! point( Y ), ! line( X ), line( parallel_through_point( X, Y ) ) }.
% 0.75/1.14 { ! line( X ), line( reverse_line( X ) ) }.
% 0.75/1.14 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 0.75/1.14 , Y ) ) }.
% 0.75/1.14 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 0.75/1.14 , Y ) ) }.
% 0.75/1.14 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.75/1.14 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 0.75/1.14 X ) }.
% 0.75/1.14 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.75/1.14 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 0.75/1.14 Y ) }.
% 0.75/1.14 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 0.75/1.14 { ! distinct_lines( X, reverse_line( X ) ) }.
% 0.75/1.14 { ! unequally_directed_lines( line_connecting( X, Y ), reverse_line(
% 0.75/1.14 line_connecting( Y, X ) ) ) }.
% 0.75/1.14 { ! unequally_directed_lines( parallel_through_point( Y, X ), Y ) }.
% 0.75/1.14 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), left_apart_point( X
% 0.75/1.14 , Z ), left_apart_point( Y, Z ), left_apart_point( X, T ),
% 0.75/1.14 left_apart_point( Y, T ), left_apart_point( X, reverse_line( Z ) ),
% 0.75/1.14 left_apart_point( Y, reverse_line( Z ) ), left_apart_point( X,
% 0.75/1.14 reverse_line( T ) ), left_apart_point( Y, reverse_line( T ) ) }.
% 0.75/1.14 { ! distinct_points( X, Y ), ! left_apart_point( X, Z ), left_apart_point(
% 0.75/1.14 Y, Z ), left_convergent_lines( line_connecting( X, Y ), Z ) }.
% 0.75/1.14 { ! left_apart_point( X, Y ), distinct_points( X, Z ), left_apart_point( Z
% 0.75/1.14 , Y ) }.
% 0.75/1.14 { ! left_apart_point( X, Y ), ! unequally_directed_lines( Y, Z ),
% 0.75/1.14 distinct_lines( Y, Z ), left_apart_point( X, reverse_line( Z ) ) }.
% 0.75/1.14 { ! left_convergent_lines( X, Y ), unequally_directed_lines( Y, Z ),
% 0.75/1.14 left_convergent_lines( X, Z ) }.
% 0.75/1.14 { ! unequally_directed_lines( skol3, reverse_line( skol1 ) ) }.
% 0.75/1.14 { ! unequally_directed_lines( skol3, skol2 ) }.
% 0.75/1.14 { unequally_directed_lines( skol1, reverse_line( skol2 ) ) }.
% 0.75/1.14
% 0.75/1.14 percentage equality = 0.000000, percentage horn = 0.800000
% 0.75/1.14 This a non-horn, non-equality problem
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 Options Used:
% 0.75/1.14
% 0.75/1.14 useres = 1
% 0.75/1.14 useparamod = 0
% 0.75/1.14 useeqrefl = 0
% 0.75/1.14 useeqfact = 0
% 0.75/1.14 usefactor = 1
% 0.75/1.14 usesimpsplitting = 0
% 0.75/1.14 usesimpdemod = 0
% 0.75/1.14 usesimpres = 3
% 0.75/1.14
% 0.75/1.14 resimpinuse = 1000
% 0.75/1.14 resimpclauses = 20000
% 0.75/1.14 substype = standard
% 0.75/1.14 backwardsubs = 1
% 0.75/1.14 selectoldest = 5
% 0.75/1.14
% 0.75/1.14 litorderings [0] = split
% 0.75/1.14 litorderings [1] = liftord
% 0.75/1.14
% 0.75/1.14 termordering = none
% 0.75/1.14
% 0.75/1.14 litapriori = 1
% 0.75/1.14 termapriori = 0
% 0.75/1.14 litaposteriori = 0
% 0.75/1.14 termaposteriori = 0
% 0.75/1.14 demodaposteriori = 0
% 0.75/1.14 ordereqreflfact = 0
% 0.75/1.14
% 0.75/1.14 litselect = none
% 0.75/1.14
% 0.75/1.14 maxweight = 15
% 0.75/1.14 maxdepth = 30000
% 0.75/1.14 maxlength = 115
% 0.75/1.14 maxnrvars = 195
% 0.75/1.14 excuselevel = 1
% 0.75/1.14 increasemaxweight = 1
% 0.75/1.14
% 0.75/1.14 maxselected = 10000000
% 0.75/1.14 maxnrclauses = 10000000
% 0.75/1.14
% 0.75/1.14 showgenerated = 0
% 0.75/1.14 showkept = 0
% 0.75/1.14 showselected = 0
% 0.75/1.14 showdeleted = 0
% 0.75/1.14 showresimp = 1
% 0.75/1.14 showstatus = 2000
% 0.75/1.14
% 0.75/1.14 prologoutput = 0
% 0.75/1.14 nrgoals = 5000000
% 0.75/1.14 totalproof = 1
% 0.75/1.14
% 0.75/1.14 Symbols occurring in the translation:
% 0.75/1.14
% 0.75/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.14 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.75/1.14 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.75/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.14 apart_point_and_line [37, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.75/1.14 left_apart_point [38, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.75/1.14 reverse_line [39, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.75/1.14 convergent_lines [41, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.75/1.14 unequally_directed_lines [42, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.75/1.14 divides_points [44, 3] (w:1, o:60, a:1, s:1, b:0),
% 0.75/1.14 before_on_line [45, 3] (w:1, o:65, a:1, s:1, b:0),
% 0.75/1.14 distinct_points [46, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.75/1.14 line_connecting [47, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.75/1.14 between_on_line [49, 4] (w:1, o:68, a:1, s:1, b:0),
% 0.75/1.14 distinct_lines [50, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.75/1.14 line [52, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.75/1.14 left_convergent_lines [53, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.75/1.14 point [54, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.75/1.14 intersection_point [55, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.75/1.14 parallel_through_point [56, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.75/1.14 alpha1 [57, 3] (w:1, o:61, a:1, s:1, b:0),
% 0.75/1.14 alpha2 [58, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.75/1.14 alpha3 [59, 4] (w:1, o:66, a:1, s:1, b:0),
% 0.75/1.14 alpha4 [60, 3] (w:1, o:62, a:1, s:1, b:0),
% 0.75/1.14 alpha5 [61, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.75/1.14 alpha6 [62, 4] (w:1, o:67, a:1, s:1, b:0),
% 0.75/1.14 alpha7 [63, 3] (w:1, o:63, a:1, s:1, b:0),
% 0.75/1.14 alpha8 [64, 3] (w:1, o:64, a:1, s:1, b:0),
% 0.75/1.14 alpha9 [65, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.75/1.14 skol1 [66, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.75/1.14 skol2 [67, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.75/1.14 skol3 [68, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 Starting Search:
% 0.75/1.14
% 0.75/1.14 *** allocated 15000 integers for clauses
% 0.75/1.14 *** allocated 22500 integers for clauses
% 0.75/1.14
% 0.75/1.14 Bliksems!, er is een bewijs:
% 0.75/1.14 % SZS status Theorem
% 0.75/1.14 % SZS output start Refutation
% 0.75/1.14
% 0.75/1.14 (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X ) }.
% 0.75/1.14 (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.75/1.14 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.75/1.14 (51) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y ), !
% 0.75/1.14 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 0.75/1.14 X, reverse_line( Y ) ), left_convergent_lines( X, Y ) }.
% 0.75/1.14 (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y ) }.
% 0.75/1.14 (67) {G0,W4,D3,L1,V0,M1} I { ! unequally_directed_lines( skol3,
% 0.75/1.14 reverse_line( skol1 ) ) }.
% 0.75/1.14 (68) {G0,W3,D2,L1,V0,M1} I { ! unequally_directed_lines( skol3, skol2 ) }.
% 0.75/1.14 (69) {G0,W4,D3,L1,V0,M1} I { unequally_directed_lines( skol1, reverse_line
% 0.75/1.14 ( skol2 ) ) }.
% 0.75/1.14 (119) {G1,W6,D2,L2,V1,M2} R(44,68) { ! unequally_directed_lines( skol3, X )
% 0.75/1.14 , unequally_directed_lines( X, skol2 ) }.
% 0.75/1.14 (121) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines( Y, X ),
% 0.75/1.14 unequally_directed_lines( X, Y ) }.
% 0.75/1.14 (134) {G2,W4,D3,L1,V0,M1} R(121,67) { ! unequally_directed_lines(
% 0.75/1.14 reverse_line( skol1 ), skol3 ) }.
% 0.75/1.14 (135) {G2,W4,D3,L1,V0,M1} R(121,69) { unequally_directed_lines(
% 0.75/1.14 reverse_line( skol2 ), skol1 ) }.
% 0.75/1.14 (136) {G2,W3,D2,L1,V0,M1} R(121,68) { ! unequally_directed_lines( skol2,
% 0.75/1.14 skol3 ) }.
% 0.75/1.14 (137) {G3,W6,D2,L2,V1,M2} R(136,44) { ! unequally_directed_lines( skol2, X
% 0.75/1.14 ), unequally_directed_lines( X, skol3 ) }.
% 0.75/1.14 (154) {G4,W4,D3,L1,V0,M1} R(137,134) { ! unequally_directed_lines( skol2,
% 0.75/1.14 reverse_line( skol1 ) ) }.
% 0.75/1.14 (167) {G5,W7,D3,L2,V1,M2} R(154,44) { ! unequally_directed_lines( skol2, X
% 0.75/1.14 ), unequally_directed_lines( X, reverse_line( skol1 ) ) }.
% 0.75/1.14 (200) {G2,W6,D2,L2,V1,M1} R(119,121) { unequally_directed_lines( skol2, X )
% 0.75/1.14 , ! unequally_directed_lines( skol3, X ) }.
% 0.75/1.14 (228) {G3,W6,D2,L2,V1,M2} R(200,121) { ! unequally_directed_lines( X, skol3
% 0.75/1.14 ), unequally_directed_lines( skol2, X ) }.
% 0.75/1.14 (321) {G1,W7,D3,L2,V2,M2} S(51);r(53);r(53) { ! unequally_directed_lines( X
% 0.75/1.14 , reverse_line( Y ) ), ! unequally_directed_lines( X, Y ) }.
% 0.75/1.14 (379) {G2,W3,D2,L1,V0,M1} R(321,69) { ! unequally_directed_lines( skol1,
% 0.75/1.14 skol2 ) }.
% 0.75/1.14 (384) {G3,W3,D2,L1,V0,M1} R(379,121) { ! unequally_directed_lines( skol2,
% 0.75/1.14 skol1 ) }.
% 0.75/1.14 (392) {G4,W6,D2,L2,V1,M2} R(384,44) { ! unequally_directed_lines( skol2, X
% 0.75/1.14 ), unequally_directed_lines( X, skol1 ) }.
% 0.75/1.14 (411) {G6,W3,D2,L1,V1,M1} R(392,321);r(167) { ! unequally_directed_lines(
% 0.75/1.14 skol2, X ) }.
% 0.75/1.14 (418) {G7,W3,D2,L1,V1,M1} R(411,228) { ! unequally_directed_lines( X, skol3
% 0.75/1.14 ) }.
% 0.75/1.14 (421) {G8,W3,D2,L1,V2,M1} R(418,44);r(418) { ! unequally_directed_lines( Y
% 0.75/1.14 , X ) }.
% 0.75/1.14 (424) {G9,W0,D0,L0,V0,M0} R(421,135) { }.
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 % SZS output end Refutation
% 0.75/1.14 found a proof!
% 0.75/1.14
% 0.75/1.14 *** allocated 33750 integers for clauses
% 0.75/1.14
% 0.75/1.14 Unprocessed initial clauses:
% 0.75/1.14
% 0.75/1.14 (426) {G0,W10,D3,L3,V2,M3} { ! apart_point_and_line( X, Y ),
% 0.75/1.14 left_apart_point( X, Y ), left_apart_point( X, reverse_line( Y ) ) }.
% 0.75/1.14 (427) {G0,W6,D2,L2,V2,M2} { ! left_apart_point( X, Y ),
% 0.75/1.14 apart_point_and_line( X, Y ) }.
% 0.75/1.14 (428) {G0,W7,D3,L2,V2,M2} { ! left_apart_point( X, reverse_line( Y ) ),
% 0.75/1.14 apart_point_and_line( X, Y ) }.
% 0.75/1.14 (429) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.75/1.14 unequally_directed_lines( X, Y ) }.
% 0.75/1.14 (430) {G0,W7,D3,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.75/1.14 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.75/1.14 (431) {G0,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.75/1.14 unequally_directed_lines( X, reverse_line( Y ) ), convergent_lines( X, Y
% 0.75/1.14 ) }.
% 0.75/1.14 (432) {G0,W12,D2,L3,V3,M3} { ! divides_points( Z, X, Y ), alpha1( X, Y, Z
% 0.75/1.14 ), alpha4( X, Y, Z ) }.
% 0.75/1.14 (433) {G0,W8,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), divides_points( Z, X, Y )
% 0.75/1.14 }.
% 0.75/1.14 (434) {G0,W8,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), divides_points( Z, X, Y )
% 0.75/1.14 }.
% 0.75/1.14 (435) {G0,W8,D3,L2,V3,M2} { ! alpha4( X, Y, Z ), left_apart_point( X,
% 0.75/1.14 reverse_line( Z ) ) }.
% 0.75/1.14 (436) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), left_apart_point( Y, Z )
% 0.75/1.14 }.
% 0.75/1.14 (437) {G0,W11,D3,L3,V3,M3} { ! left_apart_point( X, reverse_line( Z ) ), !
% 0.75/1.14 left_apart_point( Y, Z ), alpha4( X, Y, Z ) }.
% 0.75/1.14 (438) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), left_apart_point( X, Z )
% 0.75/1.14 }.
% 0.75/1.14 (439) {G0,W8,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), left_apart_point( Y,
% 0.75/1.14 reverse_line( Z ) ) }.
% 0.75/1.14 (440) {G0,W11,D3,L3,V3,M3} { ! left_apart_point( X, Z ), !
% 0.75/1.14 left_apart_point( Y, reverse_line( Z ) ), alpha1( X, Y, Z ) }.
% 0.75/1.14 (441) {G0,W7,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), distinct_points(
% 0.75/1.14 Y, Z ) }.
% 0.75/1.14 (442) {G0,W8,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), alpha7( X, Y, Z )
% 0.75/1.14 }.
% 0.75/1.14 (443) {G0,W11,D2,L3,V3,M3} { ! distinct_points( Y, Z ), ! alpha7( X, Y, Z
% 0.75/1.14 ), before_on_line( X, Y, Z ) }.
% 0.75/1.14 (444) {G0,W7,D2,L2,V3,M2} { ! alpha7( X, Y, Z ), alpha2( X, Y ) }.
% 0.75/1.14 (445) {G0,W8,D2,L2,V3,M2} { ! alpha7( X, Y, Z ), alpha8( X, Y, Z ) }.
% 0.75/1.14 (446) {G0,W11,D2,L3,V3,M3} { ! alpha2( X, Y ), ! alpha8( X, Y, Z ), alpha7
% 0.75/1.14 ( X, Y, Z ) }.
% 0.75/1.14 (447) {G0,W7,D2,L2,V3,M2} { ! alpha8( X, Y, Z ), alpha5( X, Z ) }.
% 0.75/1.14 (448) {G0,W9,D3,L2,V3,M2} { ! alpha8( X, Y, Z ), !
% 0.75/1.14 unequally_directed_lines( X, line_connecting( Y, Z ) ) }.
% 0.75/1.14 (449) {G0,W12,D3,L3,V3,M3} { ! alpha5( X, Z ), unequally_directed_lines( X
% 0.75/1.14 , line_connecting( Y, Z ) ), alpha8( X, Y, Z ) }.
% 0.75/1.14 (450) {G0,W6,D2,L2,V2,M2} { ! alpha5( X, Y ), ! left_apart_point( Y, X )
% 0.75/1.14 }.
% 0.75/1.14 (451) {G0,W7,D3,L2,V2,M2} { ! alpha5( X, Y ), ! left_apart_point( Y,
% 0.75/1.14 reverse_line( X ) ) }.
% 0.75/1.14 (452) {G0,W10,D3,L3,V2,M3} { left_apart_point( Y, X ), left_apart_point( Y
% 0.75/1.14 , reverse_line( X ) ), alpha5( X, Y ) }.
% 0.75/1.14 (453) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), ! left_apart_point( Y, X )
% 0.75/1.14 }.
% 0.75/1.14 (454) {G0,W7,D3,L2,V2,M2} { ! alpha2( X, Y ), ! left_apart_point( Y,
% 0.75/1.14 reverse_line( X ) ) }.
% 0.75/1.14 (455) {G0,W10,D3,L3,V2,M3} { left_apart_point( Y, X ), left_apart_point( Y
% 0.75/1.14 , reverse_line( X ) ), alpha2( X, Y ) }.
% 0.75/1.14 (456) {G0,W15,D2,L3,V4,M3} { ! between_on_line( X, Y, Z, T ), alpha3( X, Y
% 0.75/1.14 , Z, T ), alpha6( X, Y, Z, T ) }.
% 0.75/1.14 (457) {G0,W10,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), between_on_line( X, Y
% 0.75/1.14 , Z, T ) }.
% 0.75/1.14 (458) {G0,W10,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), between_on_line( X, Y
% 0.75/1.14 , Z, T ) }.
% 0.75/1.14 (459) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, T,
% 0.75/1.14 Z ) }.
% 0.75/1.14 (460) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, Z,
% 0.75/1.14 Y ) }.
% 0.75/1.14 (461) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, T, Z ), ! before_on_line
% 0.75/1.14 ( X, Z, Y ), alpha6( X, Y, Z, T ) }.
% 0.75/1.14 (462) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Y,
% 0.75/1.14 Z ) }.
% 0.75/1.14 (463) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Z,
% 0.75/1.14 T ) }.
% 0.75/1.14 (464) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, Y, Z ), ! before_on_line
% 0.75/1.14 ( X, Z, T ), alpha3( X, Y, Z, T ) }.
% 0.75/1.14 (465) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.75/1.14 (466) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.75/1.14 , Z ), distinct_points( Y, Z ) }.
% 0.75/1.14 (467) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.75/1.14 (468) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 0.75/1.14 ), distinct_lines( Y, Z ) }.
% 0.75/1.14 (469) {G0,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, X ) }.
% 0.75/1.14 (470) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.75/1.14 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.75/1.14 (471) {G0,W13,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 0.75/1.14 unequally_directed_lines( X, reverse_line( Y ) ), alpha9( X, Z ),
% 0.75/1.14 unequally_directed_lines( Y, Z ) }.
% 0.75/1.14 (472) {G0,W14,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 0.75/1.14 unequally_directed_lines( X, reverse_line( Y ) ), alpha9( X, Z ),
% 0.75/1.14 unequally_directed_lines( Y, reverse_line( Z ) ) }.
% 0.75/1.14 (473) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), unequally_directed_lines( X
% 0.75/1.14 , Y ) }.
% 0.75/1.14 (474) {G0,W7,D3,L2,V2,M2} { ! alpha9( X, Y ), unequally_directed_lines( X
% 0.75/1.14 , reverse_line( Y ) ) }.
% 0.75/1.14 (475) {G0,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.75/1.14 unequally_directed_lines( X, reverse_line( Y ) ), alpha9( X, Y ) }.
% 0.75/1.14 (476) {G0,W11,D3,L4,V2,M4} { ! line( X ), ! line( Y ),
% 0.75/1.14 unequally_directed_lines( X, Y ), unequally_directed_lines( X,
% 0.75/1.14 reverse_line( Y ) ) }.
% 0.75/1.14 (477) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y ), !
% 0.75/1.14 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 0.75/1.14 X, Y ), left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.75/1.14 (478) {G0,W3,D2,L1,V2,M1} { ! left_apart_point( X, Y ) }.
% 0.75/1.14 (479) {G0,W4,D3,L1,V2,M1} { ! left_apart_point( X, reverse_line( Y ) ) }.
% 0.75/1.14 (480) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 0.75/1.14 (481) {G0,W4,D3,L1,V2,M1} { ! left_convergent_lines( X, reverse_line( Y )
% 0.75/1.14 ) }.
% 0.75/1.14 (482) {G0,W11,D3,L4,V2,M4} { ! point( X ), ! point( Y ), ! distinct_points
% 0.75/1.14 ( X, Y ), line( line_connecting( X, Y ) ) }.
% 0.75/1.14 (483) {G0,W15,D3,L5,V2,M5} { ! line( X ), ! line( Y ), !
% 0.75/1.14 unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.75/1.14 reverse_line( Y ) ), point( intersection_point( X, Y ) ) }.
% 0.75/1.14 (484) {G0,W8,D3,L3,V2,M3} { ! point( Y ), ! line( X ), line(
% 0.75/1.14 parallel_through_point( X, Y ) ) }.
% 0.75/1.14 (485) {G0,W5,D3,L2,V1,M2} { ! line( X ), line( reverse_line( X ) ) }.
% 0.75/1.14 (486) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.75/1.14 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.75/1.14 (487) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.75/1.14 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.75/1.14 (488) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.75/1.14 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 0.75/1.14 ( intersection_point( X, Y ), X ) }.
% 0.75/1.14 (489) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.75/1.14 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 0.75/1.14 ( intersection_point( X, Y ), Y ) }.
% 0.75/1.14 (490) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 0.75/1.14 parallel_through_point( Y, X ) ) }.
% 0.75/1.14 (491) {G0,W4,D3,L1,V1,M1} { ! distinct_lines( X, reverse_line( X ) ) }.
% 0.75/1.14 (492) {G0,W8,D4,L1,V2,M1} { ! unequally_directed_lines( line_connecting( X
% 0.75/1.14 , Y ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.75/1.14 (493) {G0,W5,D3,L1,V2,M1} { ! unequally_directed_lines(
% 0.75/1.14 parallel_through_point( Y, X ), Y ) }.
% 0.75/1.14 (494) {G0,W34,D3,L10,V4,M10} { ! distinct_points( X, Y ), ! distinct_lines
% 0.75/1.14 ( Z, T ), left_apart_point( X, Z ), left_apart_point( Y, Z ),
% 0.75/1.14 left_apart_point( X, T ), left_apart_point( Y, T ), left_apart_point( X,
% 0.75/1.14 reverse_line( Z ) ), left_apart_point( Y, reverse_line( Z ) ),
% 0.75/1.14 left_apart_point( X, reverse_line( T ) ), left_apart_point( Y,
% 0.75/1.14 reverse_line( T ) ) }.
% 0.75/1.14 (495) {G0,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), ! left_apart_point
% 0.75/1.14 ( X, Z ), left_apart_point( Y, Z ), left_convergent_lines(
% 0.75/1.14 line_connecting( X, Y ), Z ) }.
% 0.75/1.14 (496) {G0,W9,D2,L3,V3,M3} { ! left_apart_point( X, Y ), distinct_points( X
% 0.75/1.14 , Z ), left_apart_point( Z, Y ) }.
% 0.75/1.14 (497) {G0,W13,D3,L4,V3,M4} { ! left_apart_point( X, Y ), !
% 0.75/1.14 unequally_directed_lines( Y, Z ), distinct_lines( Y, Z ),
% 0.75/1.14 left_apart_point( X, reverse_line( Z ) ) }.
% 0.75/1.14 (498) {G0,W9,D2,L3,V3,M3} { ! left_convergent_lines( X, Y ),
% 0.75/1.14 unequally_directed_lines( Y, Z ), left_convergent_lines( X, Z ) }.
% 0.75/1.14 (499) {G0,W4,D3,L1,V0,M1} { ! unequally_directed_lines( skol3,
% 0.75/1.14 reverse_line( skol1 ) ) }.
% 0.75/1.14 (500) {G0,W3,D2,L1,V0,M1} { ! unequally_directed_lines( skol3, skol2 ) }.
% 0.75/1.14 (501) {G0,W4,D3,L1,V0,M1} { unequally_directed_lines( skol1, reverse_line
% 0.75/1.14 ( skol2 ) ) }.
% 0.75/1.14
% 0.75/1.14
% 0.75/1.14 Total Proof:
% 0.75/1.14
% 0.75/1.14 subsumption: (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X
% 0.75/1.14 ) }.
% 0.75/1.14 parent0: (469) {G0,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, X )
% 0.75/1.14 }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z )
% 0.75/1.14 , unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y )
% 0.75/1.14 }.
% 0.75/1.14 parent0: (470) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.75/1.14 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 Z := Z
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 2
% 0.75/1.14 1 ==> 0
% 0.75/1.14 2 ==> 1
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (51) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y
% 0.75/1.14 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.75/1.14 left_convergent_lines( X, reverse_line( Y ) ), left_convergent_lines( X,
% 0.75/1.14 Y ) }.
% 0.75/1.14 parent0: (477) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y ),
% 0.75/1.14 ! unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines
% 0.75/1.14 ( X, Y ), left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 1 ==> 1
% 0.75/1.14 2 ==> 3
% 0.75/1.14 3 ==> 2
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.75/1.14 }.
% 0.75/1.14 parent0: (480) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 X := X
% 0.75/1.14 Y := Y
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (67) {G0,W4,D3,L1,V0,M1} I { ! unequally_directed_lines( skol3
% 0.75/1.14 , reverse_line( skol1 ) ) }.
% 0.75/1.14 parent0: (499) {G0,W4,D3,L1,V0,M1} { ! unequally_directed_lines( skol3,
% 0.75/1.14 reverse_line( skol1 ) ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (68) {G0,W3,D2,L1,V0,M1} I { ! unequally_directed_lines( skol3
% 0.75/1.14 , skol2 ) }.
% 0.75/1.14 parent0: (500) {G0,W3,D2,L1,V0,M1} { ! unequally_directed_lines( skol3,
% 0.75/1.14 skol2 ) }.
% 0.75/1.14 substitution0:
% 0.75/1.14 end
% 0.75/1.14 permutation0:
% 0.75/1.14 0 ==> 0
% 0.75/1.14 end
% 0.75/1.14
% 0.75/1.14 subsumption: (69) {G0,W4,D3,L1,V0,M1} I { unequally_directed_lines( skol1,
% 0.75/1.15 reverse_line( skol2 ) ) }.
% 0.75/1.15 parent0: (501) {G0,W4,D3,L1,V0,M1} { unequally_directed_lines( skol1,
% 0.75/1.15 reverse_line( skol2 ) ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 end
% 0.75/1.15 permutation0:
% 0.75/1.15 0 ==> 0
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 resolution: (625) {G1,W6,D2,L2,V1,M2} { unequally_directed_lines( X, skol2
% 0.75/1.15 ), ! unequally_directed_lines( skol3, X ) }.
% 0.75/1.15 parent0[0]: (68) {G0,W3,D2,L1,V0,M1} I { ! unequally_directed_lines( skol3
% 0.75/1.15 , skol2 ) }.
% 0.75/1.15 parent1[0]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.75/1.15 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 end
% 0.75/1.15 substitution1:
% 0.75/1.15 X := skol3
% 0.75/1.15 Y := X
% 0.75/1.15 Z := skol2
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 subsumption: (119) {G1,W6,D2,L2,V1,M2} R(44,68) { !
% 0.75/1.15 unequally_directed_lines( skol3, X ), unequally_directed_lines( X, skol2
% 0.75/1.15 ) }.
% 0.75/1.15 parent0: (625) {G1,W6,D2,L2,V1,M2} { unequally_directed_lines( X, skol2 )
% 0.75/1.15 , ! unequally_directed_lines( skol3, X ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := X
% 0.75/1.15 end
% 0.75/1.15 permutation0:
% 0.75/1.15 0 ==> 1
% 0.75/1.15 1 ==> 0
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 resolution: (627) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X ),
% 0.75/1.15 ! unequally_directed_lines( X, Y ) }.
% 0.75/1.15 parent0[0]: (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X )
% 0.75/1.15 }.
% 0.75/1.15 parent1[0]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.75/1.15 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := X
% 0.75/1.15 end
% 0.75/1.15 substitution1:
% 0.75/1.15 X := X
% 0.75/1.15 Y := Y
% 0.75/1.15 Z := X
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 subsumption: (121) {G1,W6,D2,L2,V2,M2} R(44,43) { !
% 0.75/1.15 unequally_directed_lines( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.75/1.15 parent0: (627) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X ), !
% 0.75/1.15 unequally_directed_lines( X, Y ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := Y
% 0.75/1.15 Y := X
% 0.75/1.15 end
% 0.75/1.15 permutation0:
% 0.75/1.15 0 ==> 1
% 0.75/1.15 1 ==> 0
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 resolution: (629) {G1,W4,D3,L1,V0,M1} { ! unequally_directed_lines(
% 0.75/1.15 reverse_line( skol1 ), skol3 ) }.
% 0.75/1.15 parent0[0]: (67) {G0,W4,D3,L1,V0,M1} I { ! unequally_directed_lines( skol3
% 0.75/1.15 , reverse_line( skol1 ) ) }.
% 0.75/1.15 parent1[1]: (121) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines
% 0.75/1.15 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 end
% 0.75/1.15 substitution1:
% 0.75/1.15 X := skol3
% 0.75/1.15 Y := reverse_line( skol1 )
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 subsumption: (134) {G2,W4,D3,L1,V0,M1} R(121,67) { !
% 0.75/1.15 unequally_directed_lines( reverse_line( skol1 ), skol3 ) }.
% 0.75/1.15 parent0: (629) {G1,W4,D3,L1,V0,M1} { ! unequally_directed_lines(
% 0.75/1.15 reverse_line( skol1 ), skol3 ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 end
% 0.75/1.15 permutation0:
% 0.75/1.15 0 ==> 0
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 resolution: (630) {G1,W4,D3,L1,V0,M1} { unequally_directed_lines(
% 0.75/1.15 reverse_line( skol2 ), skol1 ) }.
% 0.75/1.15 parent0[0]: (121) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines
% 0.75/1.15 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.75/1.15 parent1[0]: (69) {G0,W4,D3,L1,V0,M1} I { unequally_directed_lines( skol1,
% 0.75/1.15 reverse_line( skol2 ) ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := reverse_line( skol2 )
% 0.75/1.15 Y := skol1
% 0.75/1.15 end
% 0.75/1.15 substitution1:
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 subsumption: (135) {G2,W4,D3,L1,V0,M1} R(121,69) { unequally_directed_lines
% 0.75/1.15 ( reverse_line( skol2 ), skol1 ) }.
% 0.75/1.15 parent0: (630) {G1,W4,D3,L1,V0,M1} { unequally_directed_lines(
% 0.75/1.15 reverse_line( skol2 ), skol1 ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 end
% 0.75/1.15 permutation0:
% 0.75/1.15 0 ==> 0
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 resolution: (631) {G1,W3,D2,L1,V0,M1} { ! unequally_directed_lines( skol2
% 0.75/1.15 , skol3 ) }.
% 0.75/1.15 parent0[0]: (68) {G0,W3,D2,L1,V0,M1} I { ! unequally_directed_lines( skol3
% 0.75/1.15 , skol2 ) }.
% 0.75/1.15 parent1[1]: (121) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines
% 0.75/1.15 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 end
% 0.75/1.15 substitution1:
% 0.75/1.15 X := skol3
% 0.75/1.15 Y := skol2
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 subsumption: (136) {G2,W3,D2,L1,V0,M1} R(121,68) { !
% 0.75/1.15 unequally_directed_lines( skol2, skol3 ) }.
% 0.75/1.15 parent0: (631) {G1,W3,D2,L1,V0,M1} { ! unequally_directed_lines( skol2,
% 0.75/1.15 skol3 ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 end
% 0.75/1.15 permutation0:
% 0.75/1.15 0 ==> 0
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 resolution: (632) {G1,W6,D2,L2,V1,M2} { unequally_directed_lines( X, skol3
% 0.75/1.15 ), ! unequally_directed_lines( skol2, X ) }.
% 0.75/1.15 parent0[0]: (136) {G2,W3,D2,L1,V0,M1} R(121,68) { !
% 0.75/1.15 unequally_directed_lines( skol2, skol3 ) }.
% 0.75/1.15 parent1[0]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.75/1.15 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 end
% 0.75/1.15 substitution1:
% 0.75/1.15 X := skol2
% 0.75/1.15 Y := X
% 0.75/1.15 Z := skol3
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 subsumption: (137) {G3,W6,D2,L2,V1,M2} R(136,44) { !
% 0.75/1.15 unequally_directed_lines( skol2, X ), unequally_directed_lines( X, skol3
% 0.75/1.15 ) }.
% 0.75/1.15 parent0: (632) {G1,W6,D2,L2,V1,M2} { unequally_directed_lines( X, skol3 )
% 0.75/1.15 , ! unequally_directed_lines( skol2, X ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := X
% 0.75/1.15 end
% 0.75/1.15 permutation0:
% 0.75/1.15 0 ==> 1
% 0.75/1.15 1 ==> 0
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 resolution: (634) {G3,W4,D3,L1,V0,M1} { ! unequally_directed_lines( skol2
% 0.75/1.15 , reverse_line( skol1 ) ) }.
% 0.75/1.15 parent0[0]: (134) {G2,W4,D3,L1,V0,M1} R(121,67) { !
% 0.75/1.15 unequally_directed_lines( reverse_line( skol1 ), skol3 ) }.
% 0.75/1.15 parent1[1]: (137) {G3,W6,D2,L2,V1,M2} R(136,44) { !
% 0.75/1.15 unequally_directed_lines( skol2, X ), unequally_directed_lines( X, skol3
% 0.75/1.15 ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 end
% 0.75/1.15 substitution1:
% 0.75/1.15 X := reverse_line( skol1 )
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 subsumption: (154) {G4,W4,D3,L1,V0,M1} R(137,134) { !
% 0.75/1.15 unequally_directed_lines( skol2, reverse_line( skol1 ) ) }.
% 0.75/1.15 parent0: (634) {G3,W4,D3,L1,V0,M1} { ! unequally_directed_lines( skol2,
% 0.75/1.15 reverse_line( skol1 ) ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 end
% 0.75/1.15 permutation0:
% 0.75/1.15 0 ==> 0
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 resolution: (635) {G1,W7,D3,L2,V1,M2} { unequally_directed_lines( X,
% 0.75/1.15 reverse_line( skol1 ) ), ! unequally_directed_lines( skol2, X ) }.
% 0.75/1.15 parent0[0]: (154) {G4,W4,D3,L1,V0,M1} R(137,134) { !
% 0.75/1.15 unequally_directed_lines( skol2, reverse_line( skol1 ) ) }.
% 0.75/1.15 parent1[0]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.75/1.15 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 end
% 0.75/1.15 substitution1:
% 0.75/1.15 X := skol2
% 0.75/1.15 Y := X
% 0.75/1.15 Z := reverse_line( skol1 )
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 subsumption: (167) {G5,W7,D3,L2,V1,M2} R(154,44) { !
% 0.75/1.15 unequally_directed_lines( skol2, X ), unequally_directed_lines( X,
% 0.75/1.15 reverse_line( skol1 ) ) }.
% 0.75/1.15 parent0: (635) {G1,W7,D3,L2,V1,M2} { unequally_directed_lines( X,
% 0.75/1.15 reverse_line( skol1 ) ), ! unequally_directed_lines( skol2, X ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := X
% 0.75/1.15 end
% 0.75/1.15 permutation0:
% 0.75/1.15 0 ==> 1
% 0.75/1.15 1 ==> 0
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 resolution: (638) {G2,W6,D2,L2,V1,M2} { unequally_directed_lines( skol2, X
% 0.75/1.15 ), ! unequally_directed_lines( skol3, X ) }.
% 0.75/1.15 parent0[0]: (121) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines
% 0.75/1.15 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.75/1.15 parent1[1]: (119) {G1,W6,D2,L2,V1,M2} R(44,68) { ! unequally_directed_lines
% 0.75/1.15 ( skol3, X ), unequally_directed_lines( X, skol2 ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := skol2
% 0.75/1.15 Y := X
% 0.75/1.15 end
% 0.75/1.15 substitution1:
% 0.75/1.15 X := X
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 subsumption: (200) {G2,W6,D2,L2,V1,M1} R(119,121) {
% 0.75/1.15 unequally_directed_lines( skol2, X ), ! unequally_directed_lines( skol3,
% 0.75/1.15 X ) }.
% 0.75/1.15 parent0: (638) {G2,W6,D2,L2,V1,M2} { unequally_directed_lines( skol2, X )
% 0.75/1.15 , ! unequally_directed_lines( skol3, X ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := X
% 0.75/1.15 end
% 0.75/1.15 permutation0:
% 0.75/1.15 0 ==> 0
% 0.75/1.15 1 ==> 1
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 resolution: (639) {G2,W6,D2,L2,V1,M2} { unequally_directed_lines( skol2, X
% 0.75/1.15 ), ! unequally_directed_lines( X, skol3 ) }.
% 0.75/1.15 parent0[1]: (200) {G2,W6,D2,L2,V1,M1} R(119,121) { unequally_directed_lines
% 0.75/1.15 ( skol2, X ), ! unequally_directed_lines( skol3, X ) }.
% 0.75/1.15 parent1[1]: (121) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines
% 0.75/1.15 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := X
% 0.75/1.15 end
% 0.75/1.15 substitution1:
% 0.75/1.15 X := skol3
% 0.75/1.15 Y := X
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 subsumption: (228) {G3,W6,D2,L2,V1,M2} R(200,121) { !
% 0.75/1.15 unequally_directed_lines( X, skol3 ), unequally_directed_lines( skol2, X
% 0.75/1.15 ) }.
% 0.75/1.15 parent0: (639) {G2,W6,D2,L2,V1,M2} { unequally_directed_lines( skol2, X )
% 0.75/1.15 , ! unequally_directed_lines( X, skol3 ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := X
% 0.75/1.15 end
% 0.75/1.15 permutation0:
% 0.75/1.15 0 ==> 1
% 0.75/1.15 1 ==> 0
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 resolution: (640) {G1,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y
% 0.75/1.15 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.75/1.15 left_convergent_lines( X, Y ) }.
% 0.75/1.15 parent0[0]: (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.75/1.15 }.
% 0.75/1.15 parent1[2]: (51) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y
% 0.75/1.15 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.75/1.15 left_convergent_lines( X, reverse_line( Y ) ), left_convergent_lines( X,
% 0.75/1.15 Y ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := X
% 0.75/1.15 Y := reverse_line( Y )
% 0.75/1.15 end
% 0.75/1.15 substitution1:
% 0.75/1.15 X := X
% 0.75/1.15 Y := Y
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 resolution: (642) {G1,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, Y )
% 0.75/1.15 , ! unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.75/1.15 parent0[0]: (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.75/1.15 }.
% 0.75/1.15 parent1[2]: (640) {G1,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y
% 0.75/1.15 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.75/1.15 left_convergent_lines( X, Y ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := X
% 0.75/1.15 Y := Y
% 0.75/1.15 end
% 0.75/1.15 substitution1:
% 0.75/1.15 X := X
% 0.75/1.15 Y := Y
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 subsumption: (321) {G1,W7,D3,L2,V2,M2} S(51);r(53);r(53) { !
% 0.75/1.15 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.75/1.15 unequally_directed_lines( X, Y ) }.
% 0.75/1.15 parent0: (642) {G1,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, Y ), !
% 0.75/1.15 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := X
% 0.75/1.15 Y := Y
% 0.75/1.15 end
% 0.75/1.15 permutation0:
% 0.75/1.15 0 ==> 1
% 0.75/1.15 1 ==> 0
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 resolution: (643) {G1,W3,D2,L1,V0,M1} { ! unequally_directed_lines( skol1
% 0.75/1.15 , skol2 ) }.
% 0.75/1.15 parent0[0]: (321) {G1,W7,D3,L2,V2,M2} S(51);r(53);r(53) { !
% 0.75/1.15 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.75/1.15 unequally_directed_lines( X, Y ) }.
% 0.75/1.15 parent1[0]: (69) {G0,W4,D3,L1,V0,M1} I { unequally_directed_lines( skol1,
% 0.75/1.15 reverse_line( skol2 ) ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := skol1
% 0.75/1.15 Y := skol2
% 0.75/1.15 end
% 0.75/1.15 substitution1:
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 subsumption: (379) {G2,W3,D2,L1,V0,M1} R(321,69) { !
% 0.75/1.15 unequally_directed_lines( skol1, skol2 ) }.
% 0.75/1.15 parent0: (643) {G1,W3,D2,L1,V0,M1} { ! unequally_directed_lines( skol1,
% 0.75/1.15 skol2 ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 end
% 0.75/1.15 permutation0:
% 0.75/1.15 0 ==> 0
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 resolution: (645) {G2,W3,D2,L1,V0,M1} { ! unequally_directed_lines( skol2
% 0.75/1.15 , skol1 ) }.
% 0.75/1.15 parent0[0]: (379) {G2,W3,D2,L1,V0,M1} R(321,69) { !
% 0.75/1.15 unequally_directed_lines( skol1, skol2 ) }.
% 0.75/1.15 parent1[1]: (121) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines
% 0.75/1.15 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 end
% 0.75/1.15 substitution1:
% 0.75/1.15 X := skol1
% 0.75/1.15 Y := skol2
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 subsumption: (384) {G3,W3,D2,L1,V0,M1} R(379,121) { !
% 0.75/1.15 unequally_directed_lines( skol2, skol1 ) }.
% 0.75/1.15 parent0: (645) {G2,W3,D2,L1,V0,M1} { ! unequally_directed_lines( skol2,
% 0.75/1.15 skol1 ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 end
% 0.75/1.15 permutation0:
% 0.75/1.15 0 ==> 0
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 resolution: (646) {G1,W6,D2,L2,V1,M2} { unequally_directed_lines( X, skol1
% 0.75/1.15 ), ! unequally_directed_lines( skol2, X ) }.
% 0.75/1.15 parent0[0]: (384) {G3,W3,D2,L1,V0,M1} R(379,121) { !
% 0.75/1.15 unequally_directed_lines( skol2, skol1 ) }.
% 0.75/1.15 parent1[0]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.75/1.15 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 end
% 0.75/1.15 substitution1:
% 0.75/1.15 X := skol2
% 0.75/1.15 Y := X
% 0.75/1.15 Z := skol1
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 subsumption: (392) {G4,W6,D2,L2,V1,M2} R(384,44) { !
% 0.75/1.15 unequally_directed_lines( skol2, X ), unequally_directed_lines( X, skol1
% 0.75/1.15 ) }.
% 0.75/1.15 parent0: (646) {G1,W6,D2,L2,V1,M2} { unequally_directed_lines( X, skol1 )
% 0.75/1.15 , ! unequally_directed_lines( skol2, X ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := X
% 0.75/1.15 end
% 0.75/1.15 permutation0:
% 0.75/1.15 0 ==> 1
% 0.75/1.15 1 ==> 0
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 resolution: (648) {G2,W7,D3,L2,V1,M2} { ! unequally_directed_lines( X,
% 0.75/1.15 reverse_line( skol1 ) ), ! unequally_directed_lines( skol2, X ) }.
% 0.75/1.15 parent0[1]: (321) {G1,W7,D3,L2,V2,M2} S(51);r(53);r(53) { !
% 0.75/1.15 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.75/1.15 unequally_directed_lines( X, Y ) }.
% 0.75/1.15 parent1[1]: (392) {G4,W6,D2,L2,V1,M2} R(384,44) { !
% 0.75/1.15 unequally_directed_lines( skol2, X ), unequally_directed_lines( X, skol1
% 0.75/1.15 ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := X
% 0.75/1.15 Y := skol1
% 0.75/1.15 end
% 0.75/1.15 substitution1:
% 0.75/1.15 X := X
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 resolution: (649) {G3,W6,D2,L2,V1,M2} { ! unequally_directed_lines( skol2
% 0.75/1.15 , X ), ! unequally_directed_lines( skol2, X ) }.
% 0.75/1.15 parent0[0]: (648) {G2,W7,D3,L2,V1,M2} { ! unequally_directed_lines( X,
% 0.75/1.15 reverse_line( skol1 ) ), ! unequally_directed_lines( skol2, X ) }.
% 0.75/1.15 parent1[1]: (167) {G5,W7,D3,L2,V1,M2} R(154,44) { !
% 0.75/1.15 unequally_directed_lines( skol2, X ), unequally_directed_lines( X,
% 0.75/1.15 reverse_line( skol1 ) ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := X
% 0.75/1.15 end
% 0.75/1.15 substitution1:
% 0.75/1.15 X := X
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 factor: (650) {G3,W3,D2,L1,V1,M1} { ! unequally_directed_lines( skol2, X )
% 0.75/1.15 }.
% 0.75/1.15 parent0[0, 1]: (649) {G3,W6,D2,L2,V1,M2} { ! unequally_directed_lines(
% 0.75/1.15 skol2, X ), ! unequally_directed_lines( skol2, X ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := X
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 subsumption: (411) {G6,W3,D2,L1,V1,M1} R(392,321);r(167) { !
% 0.75/1.15 unequally_directed_lines( skol2, X ) }.
% 0.75/1.15 parent0: (650) {G3,W3,D2,L1,V1,M1} { ! unequally_directed_lines( skol2, X
% 0.75/1.15 ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := X
% 0.75/1.15 end
% 0.75/1.15 permutation0:
% 0.75/1.15 0 ==> 0
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 resolution: (651) {G4,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X,
% 0.75/1.15 skol3 ) }.
% 0.75/1.15 parent0[0]: (411) {G6,W3,D2,L1,V1,M1} R(392,321);r(167) { !
% 0.75/1.15 unequally_directed_lines( skol2, X ) }.
% 0.75/1.15 parent1[1]: (228) {G3,W6,D2,L2,V1,M2} R(200,121) { !
% 0.75/1.15 unequally_directed_lines( X, skol3 ), unequally_directed_lines( skol2, X
% 0.75/1.15 ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := X
% 0.75/1.15 end
% 0.75/1.15 substitution1:
% 0.75/1.15 X := X
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 subsumption: (418) {G7,W3,D2,L1,V1,M1} R(411,228) { !
% 0.75/1.15 unequally_directed_lines( X, skol3 ) }.
% 0.75/1.15 parent0: (651) {G4,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, skol3
% 0.75/1.15 ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := X
% 0.75/1.15 end
% 0.75/1.15 permutation0:
% 0.75/1.15 0 ==> 0
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 resolution: (652) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, skol3
% 0.75/1.15 ), ! unequally_directed_lines( X, Y ) }.
% 0.75/1.15 parent0[0]: (418) {G7,W3,D2,L1,V1,M1} R(411,228) { !
% 0.75/1.15 unequally_directed_lines( X, skol3 ) }.
% 0.75/1.15 parent1[0]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.75/1.15 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := X
% 0.75/1.15 end
% 0.75/1.15 substitution1:
% 0.75/1.15 X := X
% 0.75/1.15 Y := Y
% 0.75/1.15 Z := skol3
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 resolution: (654) {G2,W3,D2,L1,V2,M1} { ! unequally_directed_lines( Y, X )
% 0.75/1.15 }.
% 0.75/1.15 parent0[0]: (418) {G7,W3,D2,L1,V1,M1} R(411,228) { !
% 0.75/1.15 unequally_directed_lines( X, skol3 ) }.
% 0.75/1.15 parent1[0]: (652) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, skol3
% 0.75/1.15 ), ! unequally_directed_lines( X, Y ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := X
% 0.75/1.15 end
% 0.75/1.15 substitution1:
% 0.75/1.15 X := Y
% 0.75/1.15 Y := X
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 subsumption: (421) {G8,W3,D2,L1,V2,M1} R(418,44);r(418) { !
% 0.75/1.15 unequally_directed_lines( Y, X ) }.
% 0.75/1.15 parent0: (654) {G2,W3,D2,L1,V2,M1} { ! unequally_directed_lines( Y, X )
% 0.75/1.15 }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := X
% 0.75/1.15 Y := Y
% 0.75/1.15 end
% 0.75/1.15 permutation0:
% 0.75/1.15 0 ==> 0
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 resolution: (655) {G3,W0,D0,L0,V0,M0} { }.
% 0.75/1.15 parent0[0]: (421) {G8,W3,D2,L1,V2,M1} R(418,44);r(418) { !
% 0.75/1.15 unequally_directed_lines( Y, X ) }.
% 0.75/1.15 parent1[0]: (135) {G2,W4,D3,L1,V0,M1} R(121,69) { unequally_directed_lines
% 0.75/1.15 ( reverse_line( skol2 ), skol1 ) }.
% 0.75/1.15 substitution0:
% 0.75/1.15 X := skol1
% 0.75/1.15 Y := reverse_line( skol2 )
% 0.75/1.15 end
% 0.75/1.15 substitution1:
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 subsumption: (424) {G9,W0,D0,L0,V0,M0} R(421,135) { }.
% 0.75/1.15 parent0: (655) {G3,W0,D0,L0,V0,M0} { }.
% 0.75/1.15 substitution0:
% 0.75/1.15 end
% 0.75/1.15 permutation0:
% 0.75/1.15 end
% 0.75/1.15
% 0.75/1.15 Proof check complete!
% 0.75/1.15
% 0.75/1.15 Memory use:
% 0.75/1.15
% 0.75/1.15 space for terms: 5823
% 0.75/1.15 space for clauses: 21071
% 0.75/1.15
% 0.75/1.15
% 0.75/1.15 clauses generated: 1030
% 0.75/1.15 clauses kept: 425
% 0.75/1.15 clauses selected: 156
% 0.75/1.15 clauses deleted: 28
% 0.75/1.15 clauses inuse deleted: 0
% 0.75/1.15
% 0.75/1.15 subsentry: 3131
% 0.75/1.15 literals s-matched: 1974
% 0.75/1.15 literals matched: 1824
% 0.75/1.15 full subsumption: 550
% 0.75/1.15
% 0.75/1.15 checksum: -522998346
% 0.75/1.15
% 0.75/1.15
% 0.75/1.15 Bliksem ended
%------------------------------------------------------------------------------