TSTP Solution File: GEO262+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO262+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 02:53:23 EDT 2022
% Result : Theorem 0.44s 1.13s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO262+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n008.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 12:41:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.44/1.12 *** allocated 10000 integers for termspace/termends
% 0.44/1.12 *** allocated 10000 integers for clauses
% 0.44/1.12 *** allocated 10000 integers for justifications
% 0.44/1.12 Bliksem 1.12
% 0.44/1.12
% 0.44/1.12
% 0.44/1.12 Automatic Strategy Selection
% 0.44/1.12
% 0.44/1.12
% 0.44/1.12 Clauses:
% 0.44/1.12
% 0.44/1.12 { ! apart_point_and_line( X, Y ), left_apart_point( X, Y ),
% 0.44/1.12 left_apart_point( X, reverse_line( Y ) ) }.
% 0.44/1.12 { ! left_apart_point( X, Y ), apart_point_and_line( X, Y ) }.
% 0.44/1.12 { ! left_apart_point( X, reverse_line( Y ) ), apart_point_and_line( X, Y )
% 0.44/1.12 }.
% 0.44/1.12 { ! convergent_lines( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.44/1.12 { ! convergent_lines( X, Y ), unequally_directed_lines( X, reverse_line( Y
% 0.44/1.12 ) ) }.
% 0.44/1.12 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.44/1.12 reverse_line( Y ) ), convergent_lines( X, Y ) }.
% 0.44/1.12 { ! divides_points( Z, X, Y ), alpha1( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.44/1.12 { ! alpha1( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.44/1.12 { ! alpha4( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.44/1.12 { ! alpha4( X, Y, Z ), left_apart_point( X, reverse_line( Z ) ) }.
% 0.44/1.12 { ! alpha4( X, Y, Z ), left_apart_point( Y, Z ) }.
% 0.44/1.12 { ! left_apart_point( X, reverse_line( Z ) ), ! left_apart_point( Y, Z ),
% 0.44/1.12 alpha4( X, Y, Z ) }.
% 0.44/1.12 { ! alpha1( X, Y, Z ), left_apart_point( X, Z ) }.
% 0.44/1.12 { ! alpha1( X, Y, Z ), left_apart_point( Y, reverse_line( Z ) ) }.
% 0.44/1.12 { ! left_apart_point( X, Z ), ! left_apart_point( Y, reverse_line( Z ) ),
% 0.44/1.12 alpha1( X, Y, Z ) }.
% 0.44/1.12 { ! before_on_line( X, Y, Z ), distinct_points( Y, Z ) }.
% 0.44/1.12 { ! before_on_line( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.44/1.12 { ! distinct_points( Y, Z ), ! alpha7( X, Y, Z ), before_on_line( X, Y, Z )
% 0.44/1.12 }.
% 0.44/1.12 { ! alpha7( X, Y, Z ), alpha2( X, Y ) }.
% 0.44/1.12 { ! alpha7( X, Y, Z ), alpha8( X, Y, Z ) }.
% 0.44/1.12 { ! alpha2( X, Y ), ! alpha8( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.44/1.12 { ! alpha8( X, Y, Z ), alpha5( X, Z ) }.
% 0.44/1.12 { ! alpha8( X, Y, Z ), ! unequally_directed_lines( X, line_connecting( Y, Z
% 0.44/1.12 ) ) }.
% 0.44/1.12 { ! alpha5( X, Z ), unequally_directed_lines( X, line_connecting( Y, Z ) )
% 0.44/1.12 , alpha8( X, Y, Z ) }.
% 0.44/1.12 { ! alpha5( X, Y ), ! left_apart_point( Y, X ) }.
% 0.44/1.12 { ! alpha5( X, Y ), ! left_apart_point( Y, reverse_line( X ) ) }.
% 0.44/1.12 { left_apart_point( Y, X ), left_apart_point( Y, reverse_line( X ) ),
% 0.44/1.12 alpha5( X, Y ) }.
% 0.44/1.12 { ! alpha2( X, Y ), ! left_apart_point( Y, X ) }.
% 0.44/1.12 { ! alpha2( X, Y ), ! left_apart_point( Y, reverse_line( X ) ) }.
% 0.44/1.12 { left_apart_point( Y, X ), left_apart_point( Y, reverse_line( X ) ),
% 0.44/1.12 alpha2( X, Y ) }.
% 0.44/1.12 { ! between_on_line( X, Y, Z, T ), alpha3( X, Y, Z, T ), alpha6( X, Y, Z, T
% 0.44/1.12 ) }.
% 0.44/1.12 { ! alpha3( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.44/1.12 { ! alpha6( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.44/1.12 { ! alpha6( X, Y, Z, T ), before_on_line( X, T, Z ) }.
% 0.44/1.12 { ! alpha6( X, Y, Z, T ), before_on_line( X, Z, Y ) }.
% 0.44/1.12 { ! before_on_line( X, T, Z ), ! before_on_line( X, Z, Y ), alpha6( X, Y, Z
% 0.44/1.12 , T ) }.
% 0.44/1.12 { ! alpha3( X, Y, Z, T ), before_on_line( X, Y, Z ) }.
% 0.44/1.12 { ! alpha3( X, Y, Z, T ), before_on_line( X, Z, T ) }.
% 0.44/1.12 { ! before_on_line( X, Y, Z ), ! before_on_line( X, Z, T ), alpha3( X, Y, Z
% 0.44/1.12 , T ) }.
% 0.44/1.12 { ! distinct_points( X, X ) }.
% 0.44/1.12 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.44/1.12 ) }.
% 0.44/1.12 { ! distinct_lines( X, X ) }.
% 0.44/1.12 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.44/1.12 }.
% 0.44/1.12 { ! unequally_directed_lines( X, X ) }.
% 0.44/1.12 { ! unequally_directed_lines( X, Y ), unequally_directed_lines( X, Z ),
% 0.44/1.12 unequally_directed_lines( Y, Z ) }.
% 0.44/1.12 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.44/1.12 reverse_line( Y ) ), alpha9( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.44/1.12 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.44/1.12 reverse_line( Y ) ), alpha9( X, Z ), unequally_directed_lines( Y,
% 0.44/1.12 reverse_line( Z ) ) }.
% 0.44/1.12 { ! alpha9( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.44/1.12 { ! alpha9( X, Y ), unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.44/1.12 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.44/1.12 reverse_line( Y ) ), alpha9( X, Y ) }.
% 0.44/1.12 { ! line( X ), ! line( Y ), unequally_directed_lines( X, Y ),
% 0.44/1.12 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.44/1.12 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.44/1.12 reverse_line( Y ) ), left_convergent_lines( X, Y ), left_convergent_lines
% 0.44/1.12 ( X, reverse_line( Y ) ) }.
% 0.44/1.13 { ! left_apart_point( X, Y ) }.
% 0.44/1.13 { ! left_apart_point( X, reverse_line( Y ) ) }.
% 0.44/1.13 { ! left_convergent_lines( X, Y ) }.
% 0.44/1.13 { ! left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.44/1.13 { ! point( X ), ! point( Y ), ! distinct_points( X, Y ), line(
% 0.44/1.13 line_connecting( X, Y ) ) }.
% 0.44/1.13 { ! line( X ), ! line( Y ), ! unequally_directed_lines( X, Y ), !
% 0.44/1.13 unequally_directed_lines( X, reverse_line( Y ) ), point(
% 0.44/1.13 intersection_point( X, Y ) ) }.
% 0.44/1.13 { ! point( Y ), ! line( X ), line( parallel_through_point( X, Y ) ) }.
% 0.44/1.13 { ! line( X ), line( reverse_line( X ) ) }.
% 0.44/1.13 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 0.44/1.13 , Y ) ) }.
% 0.44/1.13 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 0.44/1.13 , Y ) ) }.
% 0.44/1.13 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.44/1.13 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 0.44/1.13 X ) }.
% 0.44/1.13 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.44/1.13 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 0.44/1.13 Y ) }.
% 0.44/1.13 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 0.44/1.13 { ! distinct_lines( X, reverse_line( X ) ) }.
% 0.44/1.13 { ! unequally_directed_lines( line_connecting( X, Y ), reverse_line(
% 0.44/1.13 line_connecting( Y, X ) ) ) }.
% 0.44/1.13 { ! unequally_directed_lines( parallel_through_point( Y, X ), Y ) }.
% 0.44/1.13 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), left_apart_point( X
% 0.44/1.13 , Z ), left_apart_point( Y, Z ), left_apart_point( X, T ),
% 0.44/1.13 left_apart_point( Y, T ), left_apart_point( X, reverse_line( Z ) ),
% 0.44/1.13 left_apart_point( Y, reverse_line( Z ) ), left_apart_point( X,
% 0.44/1.13 reverse_line( T ) ), left_apart_point( Y, reverse_line( T ) ) }.
% 0.44/1.13 { ! distinct_points( X, Y ), ! left_apart_point( X, Z ), left_apart_point(
% 0.44/1.13 Y, Z ), left_convergent_lines( line_connecting( X, Y ), Z ) }.
% 0.44/1.13 { ! left_apart_point( X, Y ), distinct_points( X, Z ), left_apart_point( Z
% 0.44/1.13 , Y ) }.
% 0.44/1.13 { ! left_apart_point( X, Y ), ! unequally_directed_lines( Y, Z ),
% 0.44/1.13 distinct_lines( Y, Z ), left_apart_point( X, reverse_line( Z ) ) }.
% 0.44/1.13 { ! left_convergent_lines( X, Y ), unequally_directed_lines( Y, Z ),
% 0.44/1.13 left_convergent_lines( X, Z ) }.
% 0.44/1.13 { between_on_line( skol6, skol3, skol4, skol5 ) }.
% 0.44/1.13 { convergent_lines( skol6, skol1 ) }.
% 0.44/1.13 { ! apart_point_and_line( skol4, skol1 ) }.
% 0.44/1.13 { convergent_lines( skol6, skol2 ) }.
% 0.44/1.13 { convergent_lines( skol1, skol2 ) }.
% 0.44/1.13 { ! apart_point_and_line( skol4, skol2 ) }.
% 0.44/1.13 { ! between_on_line( skol1, intersection_point( skol1,
% 0.44/1.13 parallel_through_point( skol2, skol3 ) ), skol4, intersection_point(
% 0.44/1.13 skol1, parallel_through_point( skol2, skol5 ) ) ) }.
% 0.44/1.13
% 0.44/1.13 percentage equality = 0.000000, percentage horn = 0.810811
% 0.44/1.13 This a non-horn, non-equality problem
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 Options Used:
% 0.44/1.13
% 0.44/1.13 useres = 1
% 0.44/1.13 useparamod = 0
% 0.44/1.13 useeqrefl = 0
% 0.44/1.13 useeqfact = 0
% 0.44/1.13 usefactor = 1
% 0.44/1.13 usesimpsplitting = 0
% 0.44/1.13 usesimpdemod = 0
% 0.44/1.13 usesimpres = 3
% 0.44/1.13
% 0.44/1.13 resimpinuse = 1000
% 0.44/1.13 resimpclauses = 20000
% 0.44/1.13 substype = standard
% 0.44/1.13 backwardsubs = 1
% 0.44/1.13 selectoldest = 5
% 0.44/1.13
% 0.44/1.13 litorderings [0] = split
% 0.44/1.13 litorderings [1] = liftord
% 0.44/1.13
% 0.44/1.13 termordering = none
% 0.44/1.13
% 0.44/1.13 litapriori = 1
% 0.44/1.13 termapriori = 0
% 0.44/1.13 litaposteriori = 0
% 0.44/1.13 termaposteriori = 0
% 0.44/1.13 demodaposteriori = 0
% 0.44/1.13 ordereqreflfact = 0
% 0.44/1.13
% 0.44/1.13 litselect = none
% 0.44/1.13
% 0.44/1.13 maxweight = 15
% 0.44/1.13 maxdepth = 30000
% 0.44/1.13 maxlength = 115
% 0.44/1.13 maxnrvars = 195
% 0.44/1.13 excuselevel = 1
% 0.44/1.13 increasemaxweight = 1
% 0.44/1.13
% 0.44/1.13 maxselected = 10000000
% 0.44/1.13 maxnrclauses = 10000000
% 0.44/1.13
% 0.44/1.13 showgenerated = 0
% 0.44/1.13 showkept = 0
% 0.44/1.13 showselected = 0
% 0.44/1.13 showdeleted = 0
% 0.44/1.13 showresimp = 1
% 0.44/1.13 showstatus = 2000
% 0.44/1.13
% 0.44/1.13 prologoutput = 0
% 0.44/1.13 nrgoals = 5000000
% 0.44/1.13 totalproof = 1
% 0.44/1.13
% 0.44/1.13 Symbols occurring in the translation:
% 0.44/1.13
% 0.44/1.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.13 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 0.44/1.13 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 0.44/1.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.13 apart_point_and_line [37, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.44/1.13 left_apart_point [38, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.44/1.13 reverse_line [39, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.44/1.13 convergent_lines [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.44/1.13 unequally_directed_lines [42, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.44/1.13 divides_points [44, 3] (w:1, o:63, a:1, s:1, b:0),
% 0.44/1.13 before_on_line [45, 3] (w:1, o:68, a:1, s:1, b:0),
% 0.44/1.13 distinct_points [46, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.44/1.13 line_connecting [47, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.44/1.13 between_on_line [49, 4] (w:1, o:71, a:1, s:1, b:0),
% 0.44/1.13 distinct_lines [50, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.44/1.13 line [52, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.44/1.13 left_convergent_lines [53, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.44/1.13 point [54, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.44/1.13 intersection_point [55, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.44/1.13 parallel_through_point [56, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.44/1.13 alpha1 [57, 3] (w:1, o:64, a:1, s:1, b:0),
% 0.44/1.13 alpha2 [58, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.44/1.13 alpha3 [59, 4] (w:1, o:69, a:1, s:1, b:0),
% 0.44/1.13 alpha4 [60, 3] (w:1, o:65, a:1, s:1, b:0),
% 0.44/1.13 alpha5 [61, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.44/1.13 alpha6 [62, 4] (w:1, o:70, a:1, s:1, b:0),
% 0.44/1.13 alpha7 [63, 3] (w:1, o:66, a:1, s:1, b:0),
% 0.44/1.13 alpha8 [64, 3] (w:1, o:67, a:1, s:1, b:0),
% 0.44/1.13 alpha9 [65, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.44/1.13 skol1 [66, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.44/1.13 skol2 [67, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.44/1.13 skol3 [68, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.44/1.13 skol4 [69, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.44/1.13 skol5 [70, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.44/1.13 skol6 [71, 0] (w:1, o:17, a:1, s:1, b:0).
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 Starting Search:
% 0.44/1.13
% 0.44/1.13 *** allocated 15000 integers for clauses
% 0.44/1.13 *** allocated 22500 integers for clauses
% 0.44/1.13 *** allocated 33750 integers for clauses
% 0.44/1.13
% 0.44/1.13 Bliksems!, er is een bewijs:
% 0.44/1.13 % SZS status Theorem
% 0.44/1.13 % SZS output start Refutation
% 0.44/1.13
% 0.44/1.13 (3) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ),
% 0.44/1.13 unequally_directed_lines( X, Y ) }.
% 0.44/1.13 (4) {G0,W7,D3,L2,V2,M1} I { ! convergent_lines( X, Y ),
% 0.44/1.13 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.44/1.13 (5) {G0,W10,D3,L3,V2,M2} I { convergent_lines( X, Y ), !
% 0.44/1.13 unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.44/1.13 reverse_line( Y ) ) }.
% 0.44/1.13 (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X ) }.
% 0.44/1.13 (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.44/1.13 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.44/1.13 (51) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y ), !
% 0.44/1.13 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 0.44/1.13 X, reverse_line( Y ) ), left_convergent_lines( X, Y ) }.
% 0.44/1.13 (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y ) }.
% 0.44/1.13 (65) {G0,W5,D3,L1,V2,M1} I { ! unequally_directed_lines(
% 0.44/1.13 parallel_through_point( Y, X ), Y ) }.
% 0.44/1.13 (68) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol6, skol1 ) }.
% 0.44/1.13 (113) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines( Y, X ),
% 0.44/1.13 unequally_directed_lines( X, Y ) }.
% 0.44/1.13 (124) {G2,W5,D3,L1,V2,M1} R(113,65) { ! unequally_directed_lines( X,
% 0.44/1.13 parallel_through_point( X, Y ) ) }.
% 0.44/1.13 (125) {G3,W8,D3,L2,V3,M2} R(124,44) { ! unequally_directed_lines( Y, X ),
% 0.44/1.13 unequally_directed_lines( X, parallel_through_point( Y, Z ) ) }.
% 0.44/1.13 (139) {G4,W8,D3,L2,V3,M2} R(125,113) { unequally_directed_lines(
% 0.44/1.13 parallel_through_point( X, Z ), Y ), ! unequally_directed_lines( X, Y )
% 0.44/1.13 }.
% 0.44/1.13 (178) {G5,W9,D3,L2,V3,M1} R(139,4) { ! convergent_lines( X, Z ),
% 0.44/1.13 unequally_directed_lines( parallel_through_point( X, Y ), reverse_line( Z
% 0.44/1.13 ) ) }.
% 0.44/1.13 (179) {G5,W8,D3,L2,V3,M1} R(139,3) { ! convergent_lines( X, Z ),
% 0.44/1.13 unequally_directed_lines( parallel_through_point( X, Y ), Z ) }.
% 0.44/1.13 (191) {G6,W8,D3,L2,V3,M2} R(179,5);r(178) { convergent_lines(
% 0.44/1.13 parallel_through_point( X, Z ), Y ), ! convergent_lines( X, Y ) }.
% 0.44/1.13 (194) {G7,W5,D3,L1,V1,M1} R(191,68) { convergent_lines(
% 0.44/1.13 parallel_through_point( skol6, X ), skol1 ) }.
% 0.44/1.13 (197) {G8,W7,D4,L1,V2,M1} R(194,191) { convergent_lines(
% 0.44/1.13 parallel_through_point( parallel_through_point( skol6, X ), Y ), skol1 )
% 0.44/1.13 }.
% 0.44/1.13 (415) {G1,W7,D3,L2,V2,M2} S(51);r(53);r(53) { ! unequally_directed_lines( X
% 0.44/1.13 , reverse_line( Y ) ), ! unequally_directed_lines( X, Y ) }.
% 0.44/1.13 (441) {G6,W3,D2,L1,V2,M1} R(415,179);r(178) { ! convergent_lines( X, Z )
% 0.44/1.13 }.
% 0.44/1.13 (455) {G9,W0,D0,L0,V0,M0} R(441,197) { }.
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 % SZS output end Refutation
% 0.44/1.13 found a proof!
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 Unprocessed initial clauses:
% 0.44/1.13
% 0.44/1.13 (457) {G0,W10,D3,L3,V2,M3} { ! apart_point_and_line( X, Y ),
% 0.44/1.13 left_apart_point( X, Y ), left_apart_point( X, reverse_line( Y ) ) }.
% 0.44/1.13 (458) {G0,W6,D2,L2,V2,M2} { ! left_apart_point( X, Y ),
% 0.44/1.13 apart_point_and_line( X, Y ) }.
% 0.44/1.13 (459) {G0,W7,D3,L2,V2,M2} { ! left_apart_point( X, reverse_line( Y ) ),
% 0.44/1.13 apart_point_and_line( X, Y ) }.
% 0.44/1.13 (460) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.44/1.13 unequally_directed_lines( X, Y ) }.
% 0.44/1.13 (461) {G0,W7,D3,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.44/1.13 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.44/1.13 (462) {G0,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.44/1.13 unequally_directed_lines( X, reverse_line( Y ) ), convergent_lines( X, Y
% 0.44/1.13 ) }.
% 0.44/1.13 (463) {G0,W12,D2,L3,V3,M3} { ! divides_points( Z, X, Y ), alpha1( X, Y, Z
% 0.44/1.13 ), alpha4( X, Y, Z ) }.
% 0.44/1.13 (464) {G0,W8,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), divides_points( Z, X, Y )
% 0.44/1.13 }.
% 0.44/1.13 (465) {G0,W8,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), divides_points( Z, X, Y )
% 0.44/1.13 }.
% 0.44/1.13 (466) {G0,W8,D3,L2,V3,M2} { ! alpha4( X, Y, Z ), left_apart_point( X,
% 0.44/1.13 reverse_line( Z ) ) }.
% 0.44/1.13 (467) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), left_apart_point( Y, Z )
% 0.44/1.13 }.
% 0.44/1.13 (468) {G0,W11,D3,L3,V3,M3} { ! left_apart_point( X, reverse_line( Z ) ), !
% 0.44/1.13 left_apart_point( Y, Z ), alpha4( X, Y, Z ) }.
% 0.44/1.13 (469) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), left_apart_point( X, Z )
% 0.44/1.13 }.
% 0.44/1.13 (470) {G0,W8,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), left_apart_point( Y,
% 0.44/1.13 reverse_line( Z ) ) }.
% 0.44/1.13 (471) {G0,W11,D3,L3,V3,M3} { ! left_apart_point( X, Z ), !
% 0.44/1.13 left_apart_point( Y, reverse_line( Z ) ), alpha1( X, Y, Z ) }.
% 0.44/1.13 (472) {G0,W7,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), distinct_points(
% 0.44/1.13 Y, Z ) }.
% 0.44/1.13 (473) {G0,W8,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), alpha7( X, Y, Z )
% 0.44/1.13 }.
% 0.44/1.13 (474) {G0,W11,D2,L3,V3,M3} { ! distinct_points( Y, Z ), ! alpha7( X, Y, Z
% 0.44/1.13 ), before_on_line( X, Y, Z ) }.
% 0.44/1.13 (475) {G0,W7,D2,L2,V3,M2} { ! alpha7( X, Y, Z ), alpha2( X, Y ) }.
% 0.44/1.13 (476) {G0,W8,D2,L2,V3,M2} { ! alpha7( X, Y, Z ), alpha8( X, Y, Z ) }.
% 0.44/1.13 (477) {G0,W11,D2,L3,V3,M3} { ! alpha2( X, Y ), ! alpha8( X, Y, Z ), alpha7
% 0.44/1.13 ( X, Y, Z ) }.
% 0.44/1.13 (478) {G0,W7,D2,L2,V3,M2} { ! alpha8( X, Y, Z ), alpha5( X, Z ) }.
% 0.44/1.13 (479) {G0,W9,D3,L2,V3,M2} { ! alpha8( X, Y, Z ), !
% 0.44/1.13 unequally_directed_lines( X, line_connecting( Y, Z ) ) }.
% 0.44/1.13 (480) {G0,W12,D3,L3,V3,M3} { ! alpha5( X, Z ), unequally_directed_lines( X
% 0.44/1.13 , line_connecting( Y, Z ) ), alpha8( X, Y, Z ) }.
% 0.44/1.13 (481) {G0,W6,D2,L2,V2,M2} { ! alpha5( X, Y ), ! left_apart_point( Y, X )
% 0.44/1.13 }.
% 0.44/1.13 (482) {G0,W7,D3,L2,V2,M2} { ! alpha5( X, Y ), ! left_apart_point( Y,
% 0.44/1.13 reverse_line( X ) ) }.
% 0.44/1.13 (483) {G0,W10,D3,L3,V2,M3} { left_apart_point( Y, X ), left_apart_point( Y
% 0.44/1.13 , reverse_line( X ) ), alpha5( X, Y ) }.
% 0.44/1.13 (484) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), ! left_apart_point( Y, X )
% 0.44/1.13 }.
% 0.44/1.13 (485) {G0,W7,D3,L2,V2,M2} { ! alpha2( X, Y ), ! left_apart_point( Y,
% 0.44/1.13 reverse_line( X ) ) }.
% 0.44/1.13 (486) {G0,W10,D3,L3,V2,M3} { left_apart_point( Y, X ), left_apart_point( Y
% 0.44/1.13 , reverse_line( X ) ), alpha2( X, Y ) }.
% 0.44/1.13 (487) {G0,W15,D2,L3,V4,M3} { ! between_on_line( X, Y, Z, T ), alpha3( X, Y
% 0.44/1.13 , Z, T ), alpha6( X, Y, Z, T ) }.
% 0.44/1.13 (488) {G0,W10,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), between_on_line( X, Y
% 0.44/1.13 , Z, T ) }.
% 0.44/1.13 (489) {G0,W10,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), between_on_line( X, Y
% 0.44/1.13 , Z, T ) }.
% 0.44/1.13 (490) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, T,
% 0.44/1.13 Z ) }.
% 0.44/1.13 (491) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, Z,
% 0.44/1.13 Y ) }.
% 0.44/1.13 (492) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, T, Z ), ! before_on_line
% 0.44/1.13 ( X, Z, Y ), alpha6( X, Y, Z, T ) }.
% 0.44/1.13 (493) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Y,
% 0.44/1.13 Z ) }.
% 0.44/1.13 (494) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Z,
% 0.44/1.13 T ) }.
% 0.44/1.13 (495) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, Y, Z ), ! before_on_line
% 0.44/1.13 ( X, Z, T ), alpha3( X, Y, Z, T ) }.
% 0.44/1.13 (496) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.44/1.13 (497) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.44/1.13 , Z ), distinct_points( Y, Z ) }.
% 0.44/1.13 (498) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.44/1.13 (499) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 0.44/1.13 ), distinct_lines( Y, Z ) }.
% 0.44/1.13 (500) {G0,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, X ) }.
% 0.44/1.13 (501) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.44/1.13 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.44/1.13 (502) {G0,W13,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 0.44/1.13 unequally_directed_lines( X, reverse_line( Y ) ), alpha9( X, Z ),
% 0.44/1.13 unequally_directed_lines( Y, Z ) }.
% 0.44/1.13 (503) {G0,W14,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 0.44/1.13 unequally_directed_lines( X, reverse_line( Y ) ), alpha9( X, Z ),
% 0.44/1.13 unequally_directed_lines( Y, reverse_line( Z ) ) }.
% 0.44/1.13 (504) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), unequally_directed_lines( X
% 0.44/1.13 , Y ) }.
% 0.44/1.13 (505) {G0,W7,D3,L2,V2,M2} { ! alpha9( X, Y ), unequally_directed_lines( X
% 0.44/1.13 , reverse_line( Y ) ) }.
% 0.44/1.13 (506) {G0,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.44/1.13 unequally_directed_lines( X, reverse_line( Y ) ), alpha9( X, Y ) }.
% 0.44/1.13 (507) {G0,W11,D3,L4,V2,M4} { ! line( X ), ! line( Y ),
% 0.44/1.13 unequally_directed_lines( X, Y ), unequally_directed_lines( X,
% 0.44/1.13 reverse_line( Y ) ) }.
% 0.44/1.13 (508) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y ), !
% 0.44/1.13 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 0.44/1.13 X, Y ), left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.44/1.13 (509) {G0,W3,D2,L1,V2,M1} { ! left_apart_point( X, Y ) }.
% 0.44/1.13 (510) {G0,W4,D3,L1,V2,M1} { ! left_apart_point( X, reverse_line( Y ) ) }.
% 0.44/1.13 (511) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 0.44/1.13 (512) {G0,W4,D3,L1,V2,M1} { ! left_convergent_lines( X, reverse_line( Y )
% 0.44/1.13 ) }.
% 0.44/1.13 (513) {G0,W11,D3,L4,V2,M4} { ! point( X ), ! point( Y ), ! distinct_points
% 0.44/1.13 ( X, Y ), line( line_connecting( X, Y ) ) }.
% 0.44/1.13 (514) {G0,W15,D3,L5,V2,M5} { ! line( X ), ! line( Y ), !
% 0.44/1.13 unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.44/1.13 reverse_line( Y ) ), point( intersection_point( X, Y ) ) }.
% 0.44/1.13 (515) {G0,W8,D3,L3,V2,M3} { ! point( Y ), ! line( X ), line(
% 0.44/1.13 parallel_through_point( X, Y ) ) }.
% 0.44/1.13 (516) {G0,W5,D3,L2,V1,M2} { ! line( X ), line( reverse_line( X ) ) }.
% 0.44/1.13 (517) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.44/1.13 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.44/1.13 (518) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.44/1.13 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.44/1.13 (519) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.44/1.13 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 0.44/1.13 ( intersection_point( X, Y ), X ) }.
% 0.44/1.13 (520) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.44/1.13 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 0.44/1.13 ( intersection_point( X, Y ), Y ) }.
% 0.44/1.13 (521) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 0.44/1.13 parallel_through_point( Y, X ) ) }.
% 0.44/1.13 (522) {G0,W4,D3,L1,V1,M1} { ! distinct_lines( X, reverse_line( X ) ) }.
% 0.44/1.13 (523) {G0,W8,D4,L1,V2,M1} { ! unequally_directed_lines( line_connecting( X
% 0.44/1.13 , Y ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.44/1.13 (524) {G0,W5,D3,L1,V2,M1} { ! unequally_directed_lines(
% 0.44/1.13 parallel_through_point( Y, X ), Y ) }.
% 0.44/1.13 (525) {G0,W34,D3,L10,V4,M10} { ! distinct_points( X, Y ), ! distinct_lines
% 0.44/1.13 ( Z, T ), left_apart_point( X, Z ), left_apart_point( Y, Z ),
% 0.44/1.13 left_apart_point( X, T ), left_apart_point( Y, T ), left_apart_point( X,
% 0.44/1.13 reverse_line( Z ) ), left_apart_point( Y, reverse_line( Z ) ),
% 0.44/1.13 left_apart_point( X, reverse_line( T ) ), left_apart_point( Y,
% 0.44/1.13 reverse_line( T ) ) }.
% 0.44/1.13 (526) {G0,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), ! left_apart_point
% 0.44/1.13 ( X, Z ), left_apart_point( Y, Z ), left_convergent_lines(
% 0.44/1.13 line_connecting( X, Y ), Z ) }.
% 0.44/1.13 (527) {G0,W9,D2,L3,V3,M3} { ! left_apart_point( X, Y ), distinct_points( X
% 0.44/1.13 , Z ), left_apart_point( Z, Y ) }.
% 0.44/1.13 (528) {G0,W13,D3,L4,V3,M4} { ! left_apart_point( X, Y ), !
% 0.44/1.13 unequally_directed_lines( Y, Z ), distinct_lines( Y, Z ),
% 0.44/1.13 left_apart_point( X, reverse_line( Z ) ) }.
% 0.44/1.13 (529) {G0,W9,D2,L3,V3,M3} { ! left_convergent_lines( X, Y ),
% 0.44/1.13 unequally_directed_lines( Y, Z ), left_convergent_lines( X, Z ) }.
% 0.44/1.13 (530) {G0,W5,D2,L1,V0,M1} { between_on_line( skol6, skol3, skol4, skol5 )
% 0.44/1.13 }.
% 0.44/1.13 (531) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol6, skol1 ) }.
% 0.44/1.13 (532) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol4, skol1 ) }.
% 0.44/1.13 (533) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol6, skol2 ) }.
% 0.44/1.13 (534) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 0.44/1.13 (535) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol4, skol2 ) }.
% 0.44/1.13 (536) {G0,W13,D4,L1,V0,M1} { ! between_on_line( skol1, intersection_point
% 0.44/1.13 ( skol1, parallel_through_point( skol2, skol3 ) ), skol4,
% 0.44/1.13 intersection_point( skol1, parallel_through_point( skol2, skol5 ) ) ) }.
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 Total Proof:
% 0.44/1.13
% 0.44/1.13 subsumption: (3) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ),
% 0.44/1.13 unequally_directed_lines( X, Y ) }.
% 0.44/1.13 parent0: (460) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.44/1.13 unequally_directed_lines( X, Y ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Y
% 0.44/1.13 end
% 0.44/1.13 permutation0:
% 0.44/1.13 0 ==> 0
% 0.44/1.13 1 ==> 1
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 subsumption: (4) {G0,W7,D3,L2,V2,M1} I { ! convergent_lines( X, Y ),
% 0.44/1.13 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.44/1.13 parent0: (461) {G0,W7,D3,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.44/1.13 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Y
% 0.44/1.13 end
% 0.44/1.13 permutation0:
% 0.44/1.13 0 ==> 0
% 0.44/1.13 1 ==> 1
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 subsumption: (5) {G0,W10,D3,L3,V2,M2} I { convergent_lines( X, Y ), !
% 0.44/1.13 unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.44/1.13 reverse_line( Y ) ) }.
% 0.44/1.13 parent0: (462) {G0,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ),
% 0.44/1.13 ! unequally_directed_lines( X, reverse_line( Y ) ), convergent_lines( X,
% 0.44/1.13 Y ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Y
% 0.44/1.13 end
% 0.44/1.13 permutation0:
% 0.44/1.13 0 ==> 1
% 0.44/1.13 1 ==> 2
% 0.44/1.13 2 ==> 0
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 subsumption: (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X
% 0.44/1.13 ) }.
% 0.44/1.13 parent0: (500) {G0,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, X )
% 0.44/1.13 }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 end
% 0.44/1.13 permutation0:
% 0.44/1.13 0 ==> 0
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 subsumption: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z )
% 0.44/1.13 , unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y )
% 0.44/1.13 }.
% 0.44/1.13 parent0: (501) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.44/1.13 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Y
% 0.44/1.13 Z := Z
% 0.44/1.13 end
% 0.44/1.13 permutation0:
% 0.44/1.13 0 ==> 2
% 0.44/1.13 1 ==> 0
% 0.44/1.13 2 ==> 1
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 subsumption: (51) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y
% 0.44/1.13 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.44/1.13 left_convergent_lines( X, reverse_line( Y ) ), left_convergent_lines( X,
% 0.44/1.13 Y ) }.
% 0.44/1.13 parent0: (508) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y ),
% 0.44/1.13 ! unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines
% 0.44/1.13 ( X, Y ), left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Y
% 0.44/1.13 end
% 0.44/1.13 permutation0:
% 0.44/1.13 0 ==> 0
% 0.44/1.13 1 ==> 1
% 0.44/1.13 2 ==> 3
% 0.44/1.13 3 ==> 2
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 subsumption: (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.44/1.13 }.
% 0.44/1.13 parent0: (511) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Y
% 0.44/1.13 end
% 0.44/1.13 permutation0:
% 0.44/1.13 0 ==> 0
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 subsumption: (65) {G0,W5,D3,L1,V2,M1} I { ! unequally_directed_lines(
% 0.44/1.13 parallel_through_point( Y, X ), Y ) }.
% 0.44/1.13 parent0: (524) {G0,W5,D3,L1,V2,M1} { ! unequally_directed_lines(
% 0.44/1.13 parallel_through_point( Y, X ), Y ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Y
% 0.44/1.13 end
% 0.44/1.13 permutation0:
% 0.44/1.13 0 ==> 0
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 subsumption: (68) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol6, skol1 )
% 0.44/1.13 }.
% 0.44/1.13 parent0: (531) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol6, skol1 ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 end
% 0.44/1.13 permutation0:
% 0.44/1.13 0 ==> 0
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 resolution: (600) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X ),
% 0.44/1.13 ! unequally_directed_lines( X, Y ) }.
% 0.44/1.13 parent0[0]: (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X )
% 0.44/1.13 }.
% 0.44/1.13 parent1[0]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.44/1.13 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 end
% 0.44/1.13 substitution1:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Y
% 0.44/1.13 Z := X
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 subsumption: (113) {G1,W6,D2,L2,V2,M2} R(44,43) { !
% 0.44/1.13 unequally_directed_lines( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.44/1.13 parent0: (600) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X ), !
% 0.44/1.13 unequally_directed_lines( X, Y ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := Y
% 0.44/1.13 Y := X
% 0.44/1.13 end
% 0.44/1.13 permutation0:
% 0.44/1.13 0 ==> 1
% 0.44/1.13 1 ==> 0
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 resolution: (602) {G1,W5,D3,L1,V2,M1} { ! unequally_directed_lines( X,
% 0.44/1.13 parallel_through_point( X, Y ) ) }.
% 0.44/1.13 parent0[0]: (65) {G0,W5,D3,L1,V2,M1} I { ! unequally_directed_lines(
% 0.44/1.13 parallel_through_point( Y, X ), Y ) }.
% 0.44/1.13 parent1[1]: (113) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines
% 0.44/1.13 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := Y
% 0.44/1.13 Y := X
% 0.44/1.13 end
% 0.44/1.13 substitution1:
% 0.44/1.13 X := parallel_through_point( X, Y )
% 0.44/1.13 Y := X
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 subsumption: (124) {G2,W5,D3,L1,V2,M1} R(113,65) { !
% 0.44/1.13 unequally_directed_lines( X, parallel_through_point( X, Y ) ) }.
% 0.44/1.13 parent0: (602) {G1,W5,D3,L1,V2,M1} { ! unequally_directed_lines( X,
% 0.44/1.13 parallel_through_point( X, Y ) ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Y
% 0.44/1.13 end
% 0.44/1.13 permutation0:
% 0.44/1.13 0 ==> 0
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 resolution: (603) {G1,W8,D3,L2,V3,M2} { unequally_directed_lines( Z,
% 0.44/1.13 parallel_through_point( X, Y ) ), ! unequally_directed_lines( X, Z ) }.
% 0.44/1.13 parent0[0]: (124) {G2,W5,D3,L1,V2,M1} R(113,65) { !
% 0.44/1.13 unequally_directed_lines( X, parallel_through_point( X, Y ) ) }.
% 0.44/1.13 parent1[0]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.44/1.13 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Y
% 0.44/1.13 end
% 0.44/1.13 substitution1:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Z
% 0.44/1.13 Z := parallel_through_point( X, Y )
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 subsumption: (125) {G3,W8,D3,L2,V3,M2} R(124,44) { !
% 0.44/1.13 unequally_directed_lines( Y, X ), unequally_directed_lines( X,
% 0.44/1.13 parallel_through_point( Y, Z ) ) }.
% 0.44/1.13 parent0: (603) {G1,W8,D3,L2,V3,M2} { unequally_directed_lines( Z,
% 0.44/1.13 parallel_through_point( X, Y ) ), ! unequally_directed_lines( X, Z ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := Y
% 0.44/1.13 Y := Z
% 0.44/1.13 Z := X
% 0.44/1.13 end
% 0.44/1.13 permutation0:
% 0.44/1.13 0 ==> 1
% 0.44/1.13 1 ==> 0
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 resolution: (606) {G2,W8,D3,L2,V3,M2} { unequally_directed_lines(
% 0.44/1.13 parallel_through_point( Y, Z ), X ), ! unequally_directed_lines( Y, X )
% 0.44/1.13 }.
% 0.44/1.13 parent0[0]: (113) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines
% 0.44/1.13 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.44/1.13 parent1[1]: (125) {G3,W8,D3,L2,V3,M2} R(124,44) { !
% 0.44/1.13 unequally_directed_lines( Y, X ), unequally_directed_lines( X,
% 0.44/1.13 parallel_through_point( Y, Z ) ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := parallel_through_point( Y, Z )
% 0.44/1.13 Y := X
% 0.44/1.13 end
% 0.44/1.13 substitution1:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Y
% 0.44/1.13 Z := Z
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 subsumption: (139) {G4,W8,D3,L2,V3,M2} R(125,113) {
% 0.44/1.13 unequally_directed_lines( parallel_through_point( X, Z ), Y ), !
% 0.44/1.13 unequally_directed_lines( X, Y ) }.
% 0.44/1.13 parent0: (606) {G2,W8,D3,L2,V3,M2} { unequally_directed_lines(
% 0.44/1.13 parallel_through_point( Y, Z ), X ), ! unequally_directed_lines( Y, X )
% 0.44/1.13 }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := Y
% 0.44/1.13 Y := X
% 0.44/1.13 Z := Z
% 0.44/1.13 end
% 0.44/1.13 permutation0:
% 0.44/1.13 0 ==> 0
% 0.44/1.13 1 ==> 1
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 resolution: (607) {G1,W9,D3,L2,V3,M2} { unequally_directed_lines(
% 0.44/1.13 parallel_through_point( X, Y ), reverse_line( Z ) ), ! convergent_lines(
% 0.44/1.13 X, Z ) }.
% 0.44/1.13 parent0[1]: (139) {G4,W8,D3,L2,V3,M2} R(125,113) { unequally_directed_lines
% 0.44/1.13 ( parallel_through_point( X, Z ), Y ), ! unequally_directed_lines( X, Y )
% 0.44/1.13 }.
% 0.44/1.13 parent1[1]: (4) {G0,W7,D3,L2,V2,M1} I { ! convergent_lines( X, Y ),
% 0.44/1.13 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 Y := reverse_line( Z )
% 0.44/1.13 Z := Y
% 0.44/1.13 end
% 0.44/1.13 substitution1:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Z
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 subsumption: (178) {G5,W9,D3,L2,V3,M1} R(139,4) { ! convergent_lines( X, Z
% 0.44/1.13 ), unequally_directed_lines( parallel_through_point( X, Y ),
% 0.44/1.13 reverse_line( Z ) ) }.
% 0.44/1.13 parent0: (607) {G1,W9,D3,L2,V3,M2} { unequally_directed_lines(
% 0.44/1.13 parallel_through_point( X, Y ), reverse_line( Z ) ), ! convergent_lines(
% 0.44/1.13 X, Z ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Y
% 0.44/1.13 Z := Z
% 0.44/1.13 end
% 0.44/1.13 permutation0:
% 0.44/1.13 0 ==> 1
% 0.44/1.13 1 ==> 0
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 resolution: (608) {G1,W8,D3,L2,V3,M2} { unequally_directed_lines(
% 0.44/1.13 parallel_through_point( X, Y ), Z ), ! convergent_lines( X, Z ) }.
% 0.44/1.13 parent0[1]: (139) {G4,W8,D3,L2,V3,M2} R(125,113) { unequally_directed_lines
% 0.44/1.13 ( parallel_through_point( X, Z ), Y ), ! unequally_directed_lines( X, Y )
% 0.44/1.13 }.
% 0.44/1.13 parent1[1]: (3) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ),
% 0.44/1.13 unequally_directed_lines( X, Y ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Z
% 0.44/1.13 Z := Y
% 0.44/1.13 end
% 0.44/1.13 substitution1:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Z
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 subsumption: (179) {G5,W8,D3,L2,V3,M1} R(139,3) { ! convergent_lines( X, Z
% 0.44/1.13 ), unequally_directed_lines( parallel_through_point( X, Y ), Z ) }.
% 0.44/1.13 parent0: (608) {G1,W8,D3,L2,V3,M2} { unequally_directed_lines(
% 0.44/1.13 parallel_through_point( X, Y ), Z ), ! convergent_lines( X, Z ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Y
% 0.44/1.13 Z := Z
% 0.44/1.13 end
% 0.44/1.13 permutation0:
% 0.44/1.13 0 ==> 1
% 0.44/1.13 1 ==> 0
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 resolution: (610) {G1,W14,D3,L3,V3,M3} { convergent_lines(
% 0.44/1.13 parallel_through_point( X, Y ), Z ), ! unequally_directed_lines(
% 0.44/1.13 parallel_through_point( X, Y ), reverse_line( Z ) ), ! convergent_lines(
% 0.44/1.13 X, Z ) }.
% 0.44/1.13 parent0[1]: (5) {G0,W10,D3,L3,V2,M2} I { convergent_lines( X, Y ), !
% 0.44/1.13 unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.44/1.13 reverse_line( Y ) ) }.
% 0.44/1.13 parent1[1]: (179) {G5,W8,D3,L2,V3,M1} R(139,3) { ! convergent_lines( X, Z )
% 0.44/1.13 , unequally_directed_lines( parallel_through_point( X, Y ), Z ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := parallel_through_point( X, Y )
% 0.44/1.13 Y := Z
% 0.44/1.13 end
% 0.44/1.13 substitution1:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Y
% 0.44/1.13 Z := Z
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 resolution: (612) {G2,W11,D3,L3,V3,M3} { convergent_lines(
% 0.44/1.13 parallel_through_point( X, Y ), Z ), ! convergent_lines( X, Z ), !
% 0.44/1.13 convergent_lines( X, Z ) }.
% 0.44/1.13 parent0[1]: (610) {G1,W14,D3,L3,V3,M3} { convergent_lines(
% 0.44/1.13 parallel_through_point( X, Y ), Z ), ! unequally_directed_lines(
% 0.44/1.13 parallel_through_point( X, Y ), reverse_line( Z ) ), ! convergent_lines(
% 0.44/1.13 X, Z ) }.
% 0.44/1.13 parent1[1]: (178) {G5,W9,D3,L2,V3,M1} R(139,4) { ! convergent_lines( X, Z )
% 0.44/1.13 , unequally_directed_lines( parallel_through_point( X, Y ), reverse_line
% 0.44/1.13 ( Z ) ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Y
% 0.44/1.13 Z := Z
% 0.44/1.13 end
% 0.44/1.13 substitution1:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Y
% 0.44/1.13 Z := Z
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 factor: (613) {G2,W8,D3,L2,V3,M2} { convergent_lines(
% 0.44/1.13 parallel_through_point( X, Y ), Z ), ! convergent_lines( X, Z ) }.
% 0.44/1.13 parent0[1, 2]: (612) {G2,W11,D3,L3,V3,M3} { convergent_lines(
% 0.44/1.13 parallel_through_point( X, Y ), Z ), ! convergent_lines( X, Z ), !
% 0.44/1.13 convergent_lines( X, Z ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Y
% 0.44/1.13 Z := Z
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 subsumption: (191) {G6,W8,D3,L2,V3,M2} R(179,5);r(178) { convergent_lines(
% 0.44/1.13 parallel_through_point( X, Z ), Y ), ! convergent_lines( X, Y ) }.
% 0.44/1.13 parent0: (613) {G2,W8,D3,L2,V3,M2} { convergent_lines(
% 0.44/1.13 parallel_through_point( X, Y ), Z ), ! convergent_lines( X, Z ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Z
% 0.44/1.13 Z := Y
% 0.44/1.13 end
% 0.44/1.13 permutation0:
% 0.44/1.13 0 ==> 0
% 0.44/1.13 1 ==> 1
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 resolution: (614) {G1,W5,D3,L1,V1,M1} { convergent_lines(
% 0.44/1.13 parallel_through_point( skol6, X ), skol1 ) }.
% 0.44/1.13 parent0[1]: (191) {G6,W8,D3,L2,V3,M2} R(179,5);r(178) { convergent_lines(
% 0.44/1.13 parallel_through_point( X, Z ), Y ), ! convergent_lines( X, Y ) }.
% 0.44/1.13 parent1[0]: (68) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol6, skol1 )
% 0.44/1.13 }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := skol6
% 0.44/1.13 Y := skol1
% 0.44/1.13 Z := X
% 0.44/1.13 end
% 0.44/1.13 substitution1:
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 subsumption: (194) {G7,W5,D3,L1,V1,M1} R(191,68) { convergent_lines(
% 0.44/1.13 parallel_through_point( skol6, X ), skol1 ) }.
% 0.44/1.13 parent0: (614) {G1,W5,D3,L1,V1,M1} { convergent_lines(
% 0.44/1.13 parallel_through_point( skol6, X ), skol1 ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 end
% 0.44/1.13 permutation0:
% 0.44/1.13 0 ==> 0
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 resolution: (615) {G7,W7,D4,L1,V2,M1} { convergent_lines(
% 0.44/1.13 parallel_through_point( parallel_through_point( skol6, X ), Y ), skol1 )
% 0.44/1.13 }.
% 0.44/1.13 parent0[1]: (191) {G6,W8,D3,L2,V3,M2} R(179,5);r(178) { convergent_lines(
% 0.44/1.13 parallel_through_point( X, Z ), Y ), ! convergent_lines( X, Y ) }.
% 0.44/1.13 parent1[0]: (194) {G7,W5,D3,L1,V1,M1} R(191,68) { convergent_lines(
% 0.44/1.13 parallel_through_point( skol6, X ), skol1 ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := parallel_through_point( skol6, X )
% 0.44/1.13 Y := skol1
% 0.44/1.13 Z := Y
% 0.44/1.13 end
% 0.44/1.13 substitution1:
% 0.44/1.13 X := X
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 subsumption: (197) {G8,W7,D4,L1,V2,M1} R(194,191) { convergent_lines(
% 0.44/1.13 parallel_through_point( parallel_through_point( skol6, X ), Y ), skol1 )
% 0.44/1.13 }.
% 0.44/1.13 parent0: (615) {G7,W7,D4,L1,V2,M1} { convergent_lines(
% 0.44/1.13 parallel_through_point( parallel_through_point( skol6, X ), Y ), skol1 )
% 0.44/1.13 }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Y
% 0.44/1.13 end
% 0.44/1.13 permutation0:
% 0.44/1.13 0 ==> 0
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 resolution: (616) {G1,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y
% 0.44/1.13 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.44/1.13 left_convergent_lines( X, Y ) }.
% 0.44/1.13 parent0[0]: (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.44/1.13 }.
% 0.44/1.13 parent1[2]: (51) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y
% 0.44/1.13 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.44/1.13 left_convergent_lines( X, reverse_line( Y ) ), left_convergent_lines( X,
% 0.44/1.13 Y ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 Y := reverse_line( Y )
% 0.44/1.13 end
% 0.44/1.13 substitution1:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Y
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 resolution: (618) {G1,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, Y )
% 0.44/1.13 , ! unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.44/1.13 parent0[0]: (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.44/1.13 }.
% 0.44/1.13 parent1[2]: (616) {G1,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y
% 0.44/1.13 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.44/1.13 left_convergent_lines( X, Y ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Y
% 0.44/1.13 end
% 0.44/1.13 substitution1:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Y
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 subsumption: (415) {G1,W7,D3,L2,V2,M2} S(51);r(53);r(53) { !
% 0.44/1.13 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.44/1.13 unequally_directed_lines( X, Y ) }.
% 0.44/1.13 parent0: (618) {G1,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, Y ), !
% 0.44/1.13 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Y
% 0.44/1.13 end
% 0.44/1.13 permutation0:
% 0.44/1.13 0 ==> 1
% 0.44/1.13 1 ==> 0
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 resolution: (620) {G2,W9,D3,L2,V3,M2} { ! unequally_directed_lines(
% 0.44/1.13 parallel_through_point( X, Y ), reverse_line( Z ) ), ! convergent_lines(
% 0.44/1.13 X, Z ) }.
% 0.44/1.13 parent0[1]: (415) {G1,W7,D3,L2,V2,M2} S(51);r(53);r(53) { !
% 0.44/1.13 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.44/1.13 unequally_directed_lines( X, Y ) }.
% 0.44/1.13 parent1[1]: (179) {G5,W8,D3,L2,V3,M1} R(139,3) { ! convergent_lines( X, Z )
% 0.44/1.13 , unequally_directed_lines( parallel_through_point( X, Y ), Z ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := parallel_through_point( X, Y )
% 0.44/1.13 Y := Z
% 0.44/1.13 end
% 0.44/1.13 substitution1:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Y
% 0.44/1.13 Z := Z
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 resolution: (621) {G3,W6,D2,L2,V2,M2} { ! convergent_lines( X, Z ), !
% 0.44/1.13 convergent_lines( X, Z ) }.
% 0.44/1.13 parent0[0]: (620) {G2,W9,D3,L2,V3,M2} { ! unequally_directed_lines(
% 0.44/1.13 parallel_through_point( X, Y ), reverse_line( Z ) ), ! convergent_lines(
% 0.44/1.13 X, Z ) }.
% 0.44/1.13 parent1[1]: (178) {G5,W9,D3,L2,V3,M1} R(139,4) { ! convergent_lines( X, Z )
% 0.44/1.13 , unequally_directed_lines( parallel_through_point( X, Y ), reverse_line
% 0.44/1.13 ( Z ) ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Y
% 0.44/1.13 Z := Z
% 0.44/1.13 end
% 0.44/1.13 substitution1:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Y
% 0.44/1.13 Z := Z
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 factor: (622) {G3,W3,D2,L1,V2,M1} { ! convergent_lines( X, Y ) }.
% 0.44/1.13 parent0[0, 1]: (621) {G3,W6,D2,L2,V2,M2} { ! convergent_lines( X, Z ), !
% 0.44/1.13 convergent_lines( X, Z ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Z
% 0.44/1.13 Z := Y
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 subsumption: (441) {G6,W3,D2,L1,V2,M1} R(415,179);r(178) { !
% 0.44/1.13 convergent_lines( X, Z ) }.
% 0.44/1.13 parent0: (622) {G3,W3,D2,L1,V2,M1} { ! convergent_lines( X, Y ) }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Z
% 0.44/1.13 end
% 0.44/1.13 permutation0:
% 0.44/1.13 0 ==> 0
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 resolution: (623) {G7,W0,D0,L0,V0,M0} { }.
% 0.44/1.13 parent0[0]: (441) {G6,W3,D2,L1,V2,M1} R(415,179);r(178) { !
% 0.44/1.13 convergent_lines( X, Z ) }.
% 0.44/1.13 parent1[0]: (197) {G8,W7,D4,L1,V2,M1} R(194,191) { convergent_lines(
% 0.44/1.13 parallel_through_point( parallel_through_point( skol6, X ), Y ), skol1 )
% 0.44/1.13 }.
% 0.44/1.13 substitution0:
% 0.44/1.13 X := parallel_through_point( parallel_through_point( skol6, X ), Y )
% 0.44/1.13 Y := Z
% 0.44/1.13 Z := skol1
% 0.44/1.13 end
% 0.44/1.13 substitution1:
% 0.44/1.13 X := X
% 0.44/1.13 Y := Y
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 subsumption: (455) {G9,W0,D0,L0,V0,M0} R(441,197) { }.
% 0.44/1.13 parent0: (623) {G7,W0,D0,L0,V0,M0} { }.
% 0.44/1.13 substitution0:
% 0.44/1.13 end
% 0.44/1.13 permutation0:
% 0.44/1.13 end
% 0.44/1.13
% 0.44/1.13 Proof check complete!
% 0.44/1.13
% 0.44/1.13 Memory use:
% 0.44/1.13
% 0.44/1.13 space for terms: 6623
% 0.44/1.13 space for clauses: 23284
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 clauses generated: 1240
% 0.44/1.13 clauses kept: 456
% 0.44/1.13 clauses selected: 128
% 0.44/1.13 clauses deleted: 25
% 0.44/1.13 clauses inuse deleted: 0
% 0.44/1.13
% 0.44/1.13 subsentry: 6338
% 0.44/1.13 literals s-matched: 3445
% 0.44/1.13 literals matched: 3395
% 0.44/1.13 full subsumption: 808
% 0.44/1.13
% 0.44/1.13 checksum: -692289886
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 Bliksem ended
%------------------------------------------------------------------------------