TSTP Solution File: GEO227+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO227+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 02:53:02 EDT 2022
% Result : Theorem 0.42s 1.12s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO227+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.10/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n013.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 18:46:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.42/1.11 *** allocated 10000 integers for termspace/termends
% 0.42/1.11 *** allocated 10000 integers for clauses
% 0.42/1.11 *** allocated 10000 integers for justifications
% 0.42/1.11 Bliksem 1.12
% 0.42/1.11
% 0.42/1.11
% 0.42/1.11 Automatic Strategy Selection
% 0.42/1.11
% 0.42/1.11
% 0.42/1.11 Clauses:
% 0.42/1.11
% 0.42/1.11 { ! apart_point_and_line( X, Y ), left_apart_point( X, Y ),
% 0.42/1.11 left_apart_point( X, reverse_line( Y ) ) }.
% 0.42/1.11 { ! left_apart_point( X, Y ), apart_point_and_line( X, Y ) }.
% 0.42/1.11 { ! left_apart_point( X, reverse_line( Y ) ), apart_point_and_line( X, Y )
% 0.42/1.11 }.
% 0.42/1.11 { ! convergent_lines( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.42/1.11 { ! convergent_lines( X, Y ), unequally_directed_lines( X, reverse_line( Y
% 0.42/1.11 ) ) }.
% 0.42/1.11 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.42/1.11 reverse_line( Y ) ), convergent_lines( X, Y ) }.
% 0.42/1.11 { ! divides_points( Z, X, Y ), alpha1( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.42/1.11 { ! alpha1( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.42/1.11 { ! alpha4( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.42/1.11 { ! alpha4( X, Y, Z ), left_apart_point( X, reverse_line( Z ) ) }.
% 0.42/1.11 { ! alpha4( X, Y, Z ), left_apart_point( Y, Z ) }.
% 0.42/1.11 { ! left_apart_point( X, reverse_line( Z ) ), ! left_apart_point( Y, Z ),
% 0.42/1.11 alpha4( X, Y, Z ) }.
% 0.42/1.11 { ! alpha1( X, Y, Z ), left_apart_point( X, Z ) }.
% 0.42/1.11 { ! alpha1( X, Y, Z ), left_apart_point( Y, reverse_line( Z ) ) }.
% 0.42/1.11 { ! left_apart_point( X, Z ), ! left_apart_point( Y, reverse_line( Z ) ),
% 0.42/1.11 alpha1( X, Y, Z ) }.
% 0.42/1.11 { ! before_on_line( X, Y, Z ), distinct_points( Y, Z ) }.
% 0.42/1.11 { ! before_on_line( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.42/1.11 { ! distinct_points( Y, Z ), ! alpha7( X, Y, Z ), before_on_line( X, Y, Z )
% 0.42/1.11 }.
% 0.42/1.11 { ! alpha7( X, Y, Z ), alpha2( X, Y ) }.
% 0.42/1.11 { ! alpha7( X, Y, Z ), alpha8( X, Y, Z ) }.
% 0.42/1.11 { ! alpha2( X, Y ), ! alpha8( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.42/1.11 { ! alpha8( X, Y, Z ), alpha5( X, Z ) }.
% 0.42/1.11 { ! alpha8( X, Y, Z ), ! unequally_directed_lines( X, line_connecting( Y, Z
% 0.42/1.11 ) ) }.
% 0.42/1.11 { ! alpha5( X, Z ), unequally_directed_lines( X, line_connecting( Y, Z ) )
% 0.42/1.11 , alpha8( X, Y, Z ) }.
% 0.42/1.11 { ! alpha5( X, Y ), ! left_apart_point( Y, X ) }.
% 0.42/1.11 { ! alpha5( X, Y ), ! left_apart_point( Y, reverse_line( X ) ) }.
% 0.42/1.11 { left_apart_point( Y, X ), left_apart_point( Y, reverse_line( X ) ),
% 0.42/1.11 alpha5( X, Y ) }.
% 0.42/1.11 { ! alpha2( X, Y ), ! left_apart_point( Y, X ) }.
% 0.42/1.11 { ! alpha2( X, Y ), ! left_apart_point( Y, reverse_line( X ) ) }.
% 0.42/1.11 { left_apart_point( Y, X ), left_apart_point( Y, reverse_line( X ) ),
% 0.42/1.11 alpha2( X, Y ) }.
% 0.42/1.11 { ! between_on_line( X, Y, Z, T ), alpha3( X, Y, Z, T ), alpha6( X, Y, Z, T
% 0.42/1.11 ) }.
% 0.42/1.11 { ! alpha3( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.42/1.11 { ! alpha6( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.42/1.11 { ! alpha6( X, Y, Z, T ), before_on_line( X, T, Z ) }.
% 0.42/1.11 { ! alpha6( X, Y, Z, T ), before_on_line( X, Z, Y ) }.
% 0.42/1.11 { ! before_on_line( X, T, Z ), ! before_on_line( X, Z, Y ), alpha6( X, Y, Z
% 0.42/1.11 , T ) }.
% 0.42/1.11 { ! alpha3( X, Y, Z, T ), before_on_line( X, Y, Z ) }.
% 0.42/1.11 { ! alpha3( X, Y, Z, T ), before_on_line( X, Z, T ) }.
% 0.42/1.11 { ! before_on_line( X, Y, Z ), ! before_on_line( X, Z, T ), alpha3( X, Y, Z
% 0.42/1.11 , T ) }.
% 0.42/1.11 { ! distinct_points( X, X ) }.
% 0.42/1.11 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.42/1.11 ) }.
% 0.42/1.11 { ! distinct_lines( X, X ) }.
% 0.42/1.11 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.42/1.11 }.
% 0.42/1.11 { ! unequally_directed_lines( X, X ) }.
% 0.42/1.11 { ! unequally_directed_lines( X, Y ), unequally_directed_lines( X, Z ),
% 0.42/1.11 unequally_directed_lines( Y, Z ) }.
% 0.42/1.11 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.42/1.11 reverse_line( Y ) ), alpha9( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.42/1.11 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.42/1.11 reverse_line( Y ) ), alpha9( X, Z ), unequally_directed_lines( Y,
% 0.42/1.11 reverse_line( Z ) ) }.
% 0.42/1.11 { ! alpha9( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.42/1.11 { ! alpha9( X, Y ), unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.42/1.11 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.42/1.11 reverse_line( Y ) ), alpha9( X, Y ) }.
% 0.42/1.11 { ! line( X ), ! line( Y ), unequally_directed_lines( X, Y ),
% 0.42/1.11 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.42/1.11 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.42/1.11 reverse_line( Y ) ), left_convergent_lines( X, Y ), left_convergent_lines
% 0.42/1.11 ( X, reverse_line( Y ) ) }.
% 0.42/1.11 { ! left_apart_point( X, Y ) }.
% 0.42/1.11 { ! left_apart_point( X, reverse_line( Y ) ) }.
% 0.42/1.11 { ! left_convergent_lines( X, Y ) }.
% 0.42/1.11 { ! left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.42/1.11 { ! point( X ), ! point( Y ), ! distinct_points( X, Y ), line(
% 0.42/1.11 line_connecting( X, Y ) ) }.
% 0.42/1.11 { ! line( X ), ! line( Y ), ! unequally_directed_lines( X, Y ), !
% 0.42/1.11 unequally_directed_lines( X, reverse_line( Y ) ), point(
% 0.42/1.11 intersection_point( X, Y ) ) }.
% 0.42/1.11 { ! point( Y ), ! line( X ), line( parallel_through_point( X, Y ) ) }.
% 0.42/1.11 { ! line( X ), line( reverse_line( X ) ) }.
% 0.42/1.11 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 0.42/1.11 , Y ) ) }.
% 0.42/1.11 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 0.42/1.11 , Y ) ) }.
% 0.42/1.11 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.42/1.11 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 0.42/1.11 X ) }.
% 0.42/1.11 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.42/1.11 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 0.42/1.11 Y ) }.
% 0.42/1.11 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 0.42/1.11 { ! distinct_lines( X, reverse_line( X ) ) }.
% 0.42/1.11 { ! unequally_directed_lines( line_connecting( X, Y ), reverse_line(
% 0.42/1.11 line_connecting( Y, X ) ) ) }.
% 0.42/1.11 { ! unequally_directed_lines( parallel_through_point( Y, X ), Y ) }.
% 0.42/1.11 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), left_apart_point( X
% 0.42/1.11 , Z ), left_apart_point( Y, Z ), left_apart_point( X, T ),
% 0.42/1.11 left_apart_point( Y, T ), left_apart_point( X, reverse_line( Z ) ),
% 0.42/1.11 left_apart_point( Y, reverse_line( Z ) ), left_apart_point( X,
% 0.42/1.11 reverse_line( T ) ), left_apart_point( Y, reverse_line( T ) ) }.
% 0.42/1.11 { ! distinct_points( X, Y ), ! left_apart_point( X, Z ), left_apart_point(
% 0.42/1.11 Y, Z ), left_convergent_lines( line_connecting( X, Y ), Z ) }.
% 0.42/1.11 { ! left_apart_point( X, Y ), distinct_points( X, Z ), left_apart_point( Z
% 0.42/1.11 , Y ) }.
% 0.42/1.11 { ! left_apart_point( X, Y ), ! unequally_directed_lines( Y, Z ),
% 0.42/1.11 distinct_lines( Y, Z ), left_apart_point( X, reverse_line( Z ) ) }.
% 0.42/1.11 { ! left_convergent_lines( X, Y ), unequally_directed_lines( Y, Z ),
% 0.42/1.11 left_convergent_lines( X, Z ) }.
% 0.42/1.11 { line( skol1 ) }.
% 0.42/1.11 { line( skol2 ) }.
% 0.42/1.11 { ! unequally_directed_lines( skol1, skol2 ) }.
% 0.42/1.11 { ! unequally_directed_lines( skol1, reverse_line( skol2 ) ) }.
% 0.42/1.11
% 0.42/1.11 percentage equality = 0.000000, percentage horn = 0.802817
% 0.42/1.11 This a non-horn, non-equality problem
% 0.42/1.11
% 0.42/1.11
% 0.42/1.11 Options Used:
% 0.42/1.11
% 0.42/1.11 useres = 1
% 0.42/1.11 useparamod = 0
% 0.42/1.11 useeqrefl = 0
% 0.42/1.11 useeqfact = 0
% 0.42/1.11 usefactor = 1
% 0.42/1.11 usesimpsplitting = 0
% 0.42/1.11 usesimpdemod = 0
% 0.42/1.11 usesimpres = 3
% 0.42/1.11
% 0.42/1.11 resimpinuse = 1000
% 0.42/1.11 resimpclauses = 20000
% 0.42/1.11 substype = standard
% 0.42/1.11 backwardsubs = 1
% 0.42/1.11 selectoldest = 5
% 0.42/1.11
% 0.42/1.11 litorderings [0] = split
% 0.42/1.11 litorderings [1] = liftord
% 0.42/1.11
% 0.42/1.11 termordering = none
% 0.42/1.11
% 0.42/1.11 litapriori = 1
% 0.42/1.11 termapriori = 0
% 0.42/1.11 litaposteriori = 0
% 0.42/1.11 termaposteriori = 0
% 0.42/1.11 demodaposteriori = 0
% 0.42/1.11 ordereqreflfact = 0
% 0.42/1.11
% 0.42/1.11 litselect = none
% 0.42/1.11
% 0.42/1.11 maxweight = 15
% 0.42/1.11 maxdepth = 30000
% 0.42/1.11 maxlength = 115
% 0.42/1.11 maxnrvars = 195
% 0.42/1.11 excuselevel = 1
% 0.42/1.11 increasemaxweight = 1
% 0.42/1.12
% 0.42/1.12 maxselected = 10000000
% 0.42/1.12 maxnrclauses = 10000000
% 0.42/1.12
% 0.42/1.12 showgenerated = 0
% 0.42/1.12 showkept = 0
% 0.42/1.12 showselected = 0
% 0.42/1.12 showdeleted = 0
% 0.42/1.12 showresimp = 1
% 0.42/1.12 showstatus = 2000
% 0.42/1.12
% 0.42/1.12 prologoutput = 0
% 0.42/1.12 nrgoals = 5000000
% 0.42/1.12 totalproof = 1
% 0.42/1.12
% 0.42/1.12 Symbols occurring in the translation:
% 0.42/1.12
% 0.42/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.12 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.42/1.12 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.42/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.12 apart_point_and_line [37, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.42/1.12 left_apart_point [38, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.42/1.12 reverse_line [39, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.42/1.12 convergent_lines [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.42/1.12 unequally_directed_lines [42, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.42/1.12 divides_points [44, 3] (w:1, o:59, a:1, s:1, b:0),
% 0.42/1.12 before_on_line [45, 3] (w:1, o:64, a:1, s:1, b:0),
% 0.42/1.12 distinct_points [46, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.42/1.12 line_connecting [47, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.42/1.12 between_on_line [49, 4] (w:1, o:67, a:1, s:1, b:0),
% 0.42/1.12 distinct_lines [50, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.42/1.12 line [52, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.42/1.12 left_convergent_lines [53, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.42/1.12 point [54, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.42/1.12 intersection_point [55, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.42/1.12 parallel_through_point [56, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.42/1.12 alpha1 [57, 3] (w:1, o:60, a:1, s:1, b:0),
% 0.42/1.12 alpha2 [58, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.42/1.12 alpha3 [59, 4] (w:1, o:65, a:1, s:1, b:0),
% 0.42/1.12 alpha4 [60, 3] (w:1, o:61, a:1, s:1, b:0),
% 0.42/1.12 alpha5 [61, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.42/1.12 alpha6 [62, 4] (w:1, o:66, a:1, s:1, b:0),
% 0.42/1.12 alpha7 [63, 3] (w:1, o:62, a:1, s:1, b:0),
% 0.42/1.12 alpha8 [64, 3] (w:1, o:63, a:1, s:1, b:0),
% 0.42/1.12 alpha9 [65, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.42/1.12 skol1 [66, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.42/1.12 skol2 [67, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.42/1.12
% 0.42/1.12
% 0.42/1.12 Starting Search:
% 0.42/1.12
% 0.42/1.12
% 0.42/1.12 Bliksems!, er is een bewijs:
% 0.42/1.12 % SZS status Theorem
% 0.42/1.12 % SZS output start Refutation
% 0.42/1.12
% 0.42/1.12 (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X ) }.
% 0.42/1.12 (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.42/1.12 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.42/1.12 (50) {G0,W11,D3,L4,V2,M2} I { ! line( X ), ! line( Y ),
% 0.42/1.12 unequally_directed_lines( X, reverse_line( Y ) ),
% 0.42/1.12 unequally_directed_lines( X, Y ) }.
% 0.42/1.12 (68) {G0,W2,D2,L1,V0,M1} I { line( skol2 ) }.
% 0.42/1.12 (69) {G0,W3,D2,L1,V0,M1} I { ! unequally_directed_lines( skol1, skol2 ) }.
% 0.42/1.12 (70) {G0,W4,D3,L1,V0,M1} I { ! unequally_directed_lines( skol1,
% 0.42/1.12 reverse_line( skol2 ) ) }.
% 0.42/1.12 (73) {G1,W6,D3,L2,V1,M1} F(50);r(43) { ! line( X ),
% 0.42/1.12 unequally_directed_lines( X, reverse_line( X ) ) }.
% 0.42/1.12 (136) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines( Y, X ),
% 0.42/1.12 unequally_directed_lines( X, Y ) }.
% 0.42/1.12 (148) {G2,W4,D3,L1,V0,M1} R(136,70) { ! unequally_directed_lines(
% 0.42/1.12 reverse_line( skol2 ), skol1 ) }.
% 0.42/1.12 (149) {G2,W3,D2,L1,V0,M1} R(136,69) { ! unequally_directed_lines( skol2,
% 0.42/1.12 skol1 ) }.
% 0.42/1.12 (150) {G3,W6,D2,L2,V1,M2} R(149,44) { ! unequally_directed_lines( skol2, X
% 0.42/1.12 ), unequally_directed_lines( X, skol1 ) }.
% 0.42/1.12 (170) {G4,W2,D2,L1,V0,M1} R(150,73);r(148) { ! line( skol2 ) }.
% 0.42/1.12 (176) {G5,W0,D0,L0,V0,M0} S(170);r(68) { }.
% 0.42/1.12
% 0.42/1.12
% 0.42/1.12 % SZS output end Refutation
% 0.42/1.12 found a proof!
% 0.42/1.12
% 0.42/1.12 *** allocated 15000 integers for clauses
% 0.42/1.12
% 0.42/1.12 Unprocessed initial clauses:
% 0.42/1.12
% 0.42/1.12 (178) {G0,W10,D3,L3,V2,M3} { ! apart_point_and_line( X, Y ),
% 0.42/1.12 left_apart_point( X, Y ), left_apart_point( X, reverse_line( Y ) ) }.
% 0.42/1.12 (179) {G0,W6,D2,L2,V2,M2} { ! left_apart_point( X, Y ),
% 0.42/1.12 apart_point_and_line( X, Y ) }.
% 0.42/1.12 (180) {G0,W7,D3,L2,V2,M2} { ! left_apart_point( X, reverse_line( Y ) ),
% 0.42/1.12 apart_point_and_line( X, Y ) }.
% 0.42/1.12 (181) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.42/1.12 unequally_directed_lines( X, Y ) }.
% 0.42/1.12 (182) {G0,W7,D3,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.42/1.12 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.42/1.12 (183) {G0,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.42/1.12 unequally_directed_lines( X, reverse_line( Y ) ), convergent_lines( X, Y
% 0.42/1.12 ) }.
% 0.42/1.12 (184) {G0,W12,D2,L3,V3,M3} { ! divides_points( Z, X, Y ), alpha1( X, Y, Z
% 0.42/1.12 ), alpha4( X, Y, Z ) }.
% 0.42/1.12 (185) {G0,W8,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), divides_points( Z, X, Y )
% 0.42/1.12 }.
% 0.42/1.12 (186) {G0,W8,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), divides_points( Z, X, Y )
% 0.42/1.12 }.
% 0.42/1.12 (187) {G0,W8,D3,L2,V3,M2} { ! alpha4( X, Y, Z ), left_apart_point( X,
% 0.42/1.12 reverse_line( Z ) ) }.
% 0.42/1.12 (188) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), left_apart_point( Y, Z )
% 0.42/1.12 }.
% 0.42/1.12 (189) {G0,W11,D3,L3,V3,M3} { ! left_apart_point( X, reverse_line( Z ) ), !
% 0.42/1.12 left_apart_point( Y, Z ), alpha4( X, Y, Z ) }.
% 0.42/1.12 (190) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), left_apart_point( X, Z )
% 0.42/1.12 }.
% 0.42/1.12 (191) {G0,W8,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), left_apart_point( Y,
% 0.42/1.12 reverse_line( Z ) ) }.
% 0.42/1.12 (192) {G0,W11,D3,L3,V3,M3} { ! left_apart_point( X, Z ), !
% 0.42/1.12 left_apart_point( Y, reverse_line( Z ) ), alpha1( X, Y, Z ) }.
% 0.42/1.12 (193) {G0,W7,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), distinct_points(
% 0.42/1.12 Y, Z ) }.
% 0.42/1.12 (194) {G0,W8,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), alpha7( X, Y, Z )
% 0.42/1.12 }.
% 0.42/1.12 (195) {G0,W11,D2,L3,V3,M3} { ! distinct_points( Y, Z ), ! alpha7( X, Y, Z
% 0.42/1.12 ), before_on_line( X, Y, Z ) }.
% 0.42/1.12 (196) {G0,W7,D2,L2,V3,M2} { ! alpha7( X, Y, Z ), alpha2( X, Y ) }.
% 0.42/1.12 (197) {G0,W8,D2,L2,V3,M2} { ! alpha7( X, Y, Z ), alpha8( X, Y, Z ) }.
% 0.42/1.12 (198) {G0,W11,D2,L3,V3,M3} { ! alpha2( X, Y ), ! alpha8( X, Y, Z ), alpha7
% 0.42/1.12 ( X, Y, Z ) }.
% 0.42/1.12 (199) {G0,W7,D2,L2,V3,M2} { ! alpha8( X, Y, Z ), alpha5( X, Z ) }.
% 0.42/1.12 (200) {G0,W9,D3,L2,V3,M2} { ! alpha8( X, Y, Z ), !
% 0.42/1.12 unequally_directed_lines( X, line_connecting( Y, Z ) ) }.
% 0.42/1.12 (201) {G0,W12,D3,L3,V3,M3} { ! alpha5( X, Z ), unequally_directed_lines( X
% 0.42/1.12 , line_connecting( Y, Z ) ), alpha8( X, Y, Z ) }.
% 0.42/1.12 (202) {G0,W6,D2,L2,V2,M2} { ! alpha5( X, Y ), ! left_apart_point( Y, X )
% 0.42/1.12 }.
% 0.42/1.12 (203) {G0,W7,D3,L2,V2,M2} { ! alpha5( X, Y ), ! left_apart_point( Y,
% 0.42/1.12 reverse_line( X ) ) }.
% 0.42/1.12 (204) {G0,W10,D3,L3,V2,M3} { left_apart_point( Y, X ), left_apart_point( Y
% 0.42/1.12 , reverse_line( X ) ), alpha5( X, Y ) }.
% 0.42/1.12 (205) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), ! left_apart_point( Y, X )
% 0.42/1.12 }.
% 0.42/1.12 (206) {G0,W7,D3,L2,V2,M2} { ! alpha2( X, Y ), ! left_apart_point( Y,
% 0.42/1.12 reverse_line( X ) ) }.
% 0.42/1.12 (207) {G0,W10,D3,L3,V2,M3} { left_apart_point( Y, X ), left_apart_point( Y
% 0.42/1.12 , reverse_line( X ) ), alpha2( X, Y ) }.
% 0.42/1.12 (208) {G0,W15,D2,L3,V4,M3} { ! between_on_line( X, Y, Z, T ), alpha3( X, Y
% 0.42/1.12 , Z, T ), alpha6( X, Y, Z, T ) }.
% 0.42/1.12 (209) {G0,W10,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), between_on_line( X, Y
% 0.42/1.12 , Z, T ) }.
% 0.42/1.12 (210) {G0,W10,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), between_on_line( X, Y
% 0.42/1.12 , Z, T ) }.
% 0.42/1.12 (211) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, T,
% 0.42/1.12 Z ) }.
% 0.42/1.12 (212) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, Z,
% 0.42/1.12 Y ) }.
% 0.42/1.12 (213) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, T, Z ), ! before_on_line
% 0.42/1.12 ( X, Z, Y ), alpha6( X, Y, Z, T ) }.
% 0.42/1.12 (214) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Y,
% 0.42/1.12 Z ) }.
% 0.42/1.12 (215) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Z,
% 0.42/1.12 T ) }.
% 0.42/1.12 (216) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, Y, Z ), ! before_on_line
% 0.42/1.12 ( X, Z, T ), alpha3( X, Y, Z, T ) }.
% 0.42/1.12 (217) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.42/1.12 (218) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.42/1.12 , Z ), distinct_points( Y, Z ) }.
% 0.42/1.12 (219) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.42/1.12 (220) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 0.42/1.12 ), distinct_lines( Y, Z ) }.
% 0.42/1.12 (221) {G0,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, X ) }.
% 0.42/1.12 (222) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.42/1.12 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.42/1.12 (223) {G0,W13,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 0.42/1.12 unequally_directed_lines( X, reverse_line( Y ) ), alpha9( X, Z ),
% 0.42/1.12 unequally_directed_lines( Y, Z ) }.
% 0.42/1.12 (224) {G0,W14,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 0.42/1.12 unequally_directed_lines( X, reverse_line( Y ) ), alpha9( X, Z ),
% 0.42/1.12 unequally_directed_lines( Y, reverse_line( Z ) ) }.
% 0.42/1.12 (225) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), unequally_directed_lines( X
% 0.42/1.12 , Y ) }.
% 0.42/1.12 (226) {G0,W7,D3,L2,V2,M2} { ! alpha9( X, Y ), unequally_directed_lines( X
% 0.42/1.12 , reverse_line( Y ) ) }.
% 0.42/1.12 (227) {G0,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.42/1.12 unequally_directed_lines( X, reverse_line( Y ) ), alpha9( X, Y ) }.
% 0.42/1.12 (228) {G0,W11,D3,L4,V2,M4} { ! line( X ), ! line( Y ),
% 0.42/1.12 unequally_directed_lines( X, Y ), unequally_directed_lines( X,
% 0.42/1.12 reverse_line( Y ) ) }.
% 0.42/1.12 (229) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y ), !
% 0.42/1.12 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 0.42/1.12 X, Y ), left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.42/1.12 (230) {G0,W3,D2,L1,V2,M1} { ! left_apart_point( X, Y ) }.
% 0.42/1.12 (231) {G0,W4,D3,L1,V2,M1} { ! left_apart_point( X, reverse_line( Y ) ) }.
% 0.42/1.12 (232) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 0.42/1.12 (233) {G0,W4,D3,L1,V2,M1} { ! left_convergent_lines( X, reverse_line( Y )
% 0.42/1.12 ) }.
% 0.42/1.12 (234) {G0,W11,D3,L4,V2,M4} { ! point( X ), ! point( Y ), ! distinct_points
% 0.42/1.12 ( X, Y ), line( line_connecting( X, Y ) ) }.
% 0.42/1.12 (235) {G0,W15,D3,L5,V2,M5} { ! line( X ), ! line( Y ), !
% 0.42/1.12 unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.42/1.12 reverse_line( Y ) ), point( intersection_point( X, Y ) ) }.
% 0.42/1.12 (236) {G0,W8,D3,L3,V2,M3} { ! point( Y ), ! line( X ), line(
% 0.42/1.12 parallel_through_point( X, Y ) ) }.
% 0.42/1.12 (237) {G0,W5,D3,L2,V1,M2} { ! line( X ), line( reverse_line( X ) ) }.
% 0.42/1.12 (238) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.42/1.12 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.42/1.12 (239) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.42/1.12 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.42/1.12 (240) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.42/1.12 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 0.42/1.12 ( intersection_point( X, Y ), X ) }.
% 0.42/1.12 (241) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.42/1.12 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 0.42/1.12 ( intersection_point( X, Y ), Y ) }.
% 0.42/1.12 (242) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 0.42/1.12 parallel_through_point( Y, X ) ) }.
% 0.42/1.12 (243) {G0,W4,D3,L1,V1,M1} { ! distinct_lines( X, reverse_line( X ) ) }.
% 0.42/1.12 (244) {G0,W8,D4,L1,V2,M1} { ! unequally_directed_lines( line_connecting( X
% 0.42/1.12 , Y ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.42/1.12 (245) {G0,W5,D3,L1,V2,M1} { ! unequally_directed_lines(
% 0.42/1.12 parallel_through_point( Y, X ), Y ) }.
% 0.42/1.12 (246) {G0,W34,D3,L10,V4,M10} { ! distinct_points( X, Y ), ! distinct_lines
% 0.42/1.12 ( Z, T ), left_apart_point( X, Z ), left_apart_point( Y, Z ),
% 0.42/1.12 left_apart_point( X, T ), left_apart_point( Y, T ), left_apart_point( X,
% 0.42/1.12 reverse_line( Z ) ), left_apart_point( Y, reverse_line( Z ) ),
% 0.42/1.12 left_apart_point( X, reverse_line( T ) ), left_apart_point( Y,
% 0.42/1.12 reverse_line( T ) ) }.
% 0.42/1.12 (247) {G0,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), ! left_apart_point
% 0.42/1.12 ( X, Z ), left_apart_point( Y, Z ), left_convergent_lines(
% 0.42/1.12 line_connecting( X, Y ), Z ) }.
% 0.42/1.12 (248) {G0,W9,D2,L3,V3,M3} { ! left_apart_point( X, Y ), distinct_points( X
% 0.42/1.12 , Z ), left_apart_point( Z, Y ) }.
% 0.42/1.12 (249) {G0,W13,D3,L4,V3,M4} { ! left_apart_point( X, Y ), !
% 0.42/1.12 unequally_directed_lines( Y, Z ), distinct_lines( Y, Z ),
% 0.42/1.12 left_apart_point( X, reverse_line( Z ) ) }.
% 0.42/1.12 (250) {G0,W9,D2,L3,V3,M3} { ! left_convergent_lines( X, Y ),
% 0.42/1.12 unequally_directed_lines( Y, Z ), left_convergent_lines( X, Z ) }.
% 0.42/1.12 (251) {G0,W2,D2,L1,V0,M1} { line( skol1 ) }.
% 0.42/1.12 (252) {G0,W2,D2,L1,V0,M1} { line( skol2 ) }.
% 0.42/1.12 (253) {G0,W3,D2,L1,V0,M1} { ! unequally_directed_lines( skol1, skol2 ) }.
% 0.42/1.12 (254) {G0,W4,D3,L1,V0,M1} { ! unequally_directed_lines( skol1,
% 0.42/1.12 reverse_line( skol2 ) ) }.
% 0.42/1.12
% 0.42/1.12
% 0.42/1.12 Total Proof:
% 0.42/1.12
% 0.42/1.12 subsumption: (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X
% 0.42/1.12 ) }.
% 0.42/1.12 parent0: (221) {G0,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, X )
% 0.42/1.12 }.
% 0.42/1.12 substitution0:
% 0.42/1.12 X := X
% 0.42/1.12 end
% 0.42/1.12 permutation0:
% 0.42/1.12 0 ==> 0
% 0.42/1.12 end
% 0.42/1.12
% 0.42/1.12 subsumption: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z )
% 0.42/1.12 , unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y )
% 0.42/1.12 }.
% 0.42/1.12 parent0: (222) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.42/1.12 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.42/1.12 substitution0:
% 0.42/1.12 X := X
% 0.42/1.12 Y := Y
% 0.42/1.12 Z := Z
% 0.42/1.12 end
% 0.42/1.12 permutation0:
% 0.42/1.12 0 ==> 2
% 0.42/1.12 1 ==> 0
% 0.42/1.12 2 ==> 1
% 0.42/1.12 end
% 0.42/1.12
% 0.42/1.12 subsumption: (50) {G0,W11,D3,L4,V2,M2} I { ! line( X ), ! line( Y ),
% 0.42/1.12 unequally_directed_lines( X, reverse_line( Y ) ),
% 0.42/1.12 unequally_directed_lines( X, Y ) }.
% 0.42/1.12 parent0: (228) {G0,W11,D3,L4,V2,M4} { ! line( X ), ! line( Y ),
% 0.42/1.12 unequally_directed_lines( X, Y ), unequally_directed_lines( X,
% 0.42/1.12 reverse_line( Y ) ) }.
% 0.42/1.12 substitution0:
% 0.42/1.12 X := X
% 0.42/1.12 Y := Y
% 0.42/1.12 end
% 0.42/1.12 permutation0:
% 0.42/1.12 0 ==> 0
% 0.42/1.12 1 ==> 1
% 0.42/1.12 2 ==> 3
% 0.42/1.12 3 ==> 2
% 0.42/1.12 end
% 0.42/1.12
% 0.42/1.12 subsumption: (68) {G0,W2,D2,L1,V0,M1} I { line( skol2 ) }.
% 0.42/1.12 parent0: (252) {G0,W2,D2,L1,V0,M1} { line( skol2 ) }.
% 0.42/1.12 substitution0:
% 0.42/1.12 end
% 0.42/1.12 permutation0:
% 0.42/1.12 0 ==> 0
% 0.42/1.12 end
% 0.42/1.12
% 0.42/1.12 subsumption: (69) {G0,W3,D2,L1,V0,M1} I { ! unequally_directed_lines( skol1
% 0.42/1.12 , skol2 ) }.
% 0.42/1.12 parent0: (253) {G0,W3,D2,L1,V0,M1} { ! unequally_directed_lines( skol1,
% 0.42/1.12 skol2 ) }.
% 0.42/1.12 substitution0:
% 0.42/1.12 end
% 0.42/1.12 permutation0:
% 0.42/1.12 0 ==> 0
% 0.42/1.12 end
% 0.42/1.12
% 0.42/1.12 subsumption: (70) {G0,W4,D3,L1,V0,M1} I { ! unequally_directed_lines( skol1
% 0.42/1.12 , reverse_line( skol2 ) ) }.
% 0.42/1.12 parent0: (254) {G0,W4,D3,L1,V0,M1} { ! unequally_directed_lines( skol1,
% 0.42/1.12 reverse_line( skol2 ) ) }.
% 0.42/1.12 substitution0:
% 0.42/1.12 end
% 0.42/1.12 permutation0:
% 0.42/1.12 0 ==> 0
% 0.42/1.12 end
% 0.42/1.12
% 0.42/1.12 factor: (372) {G0,W9,D3,L3,V1,M3} { ! line( X ), unequally_directed_lines
% 0.42/1.12 ( X, reverse_line( X ) ), unequally_directed_lines( X, X ) }.
% 0.42/1.12 parent0[0, 1]: (50) {G0,W11,D3,L4,V2,M2} I { ! line( X ), ! line( Y ),
% 0.42/1.12 unequally_directed_lines( X, reverse_line( Y ) ),
% 0.42/1.12 unequally_directed_lines( X, Y ) }.
% 0.42/1.12 substitution0:
% 0.42/1.12 X := X
% 0.42/1.12 Y := X
% 0.42/1.12 end
% 0.42/1.12
% 0.42/1.12 resolution: (373) {G1,W6,D3,L2,V1,M2} { ! line( X ),
% 0.42/1.12 unequally_directed_lines( X, reverse_line( X ) ) }.
% 0.42/1.12 parent0[0]: (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X )
% 0.42/1.12 }.
% 0.42/1.12 parent1[2]: (372) {G0,W9,D3,L3,V1,M3} { ! line( X ),
% 0.42/1.12 unequally_directed_lines( X, reverse_line( X ) ),
% 0.42/1.12 unequally_directed_lines( X, X ) }.
% 0.42/1.12 substitution0:
% 0.42/1.12 X := X
% 0.42/1.12 end
% 0.42/1.12 substitution1:
% 0.42/1.12 X := X
% 0.42/1.12 end
% 0.42/1.12
% 0.42/1.12 subsumption: (73) {G1,W6,D3,L2,V1,M1} F(50);r(43) { ! line( X ),
% 0.42/1.12 unequally_directed_lines( X, reverse_line( X ) ) }.
% 0.42/1.12 parent0: (373) {G1,W6,D3,L2,V1,M2} { ! line( X ), unequally_directed_lines
% 0.42/1.12 ( X, reverse_line( X ) ) }.
% 0.42/1.12 substitution0:
% 0.42/1.12 X := X
% 0.42/1.12 end
% 0.42/1.12 permutation0:
% 0.42/1.12 0 ==> 0
% 0.42/1.12 1 ==> 1
% 0.42/1.12 end
% 0.42/1.12
% 0.42/1.12 resolution: (374) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X ),
% 0.42/1.12 ! unequally_directed_lines( X, Y ) }.
% 0.42/1.12 parent0[0]: (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X )
% 0.42/1.12 }.
% 0.42/1.12 parent1[0]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.42/1.12 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.42/1.12 substitution0:
% 0.42/1.12 X := X
% 0.42/1.12 end
% 0.42/1.12 substitution1:
% 0.42/1.12 X := X
% 0.42/1.12 Y := Y
% 0.42/1.12 Z := X
% 0.42/1.12 end
% 0.42/1.12
% 0.42/1.12 subsumption: (136) {G1,W6,D2,L2,V2,M2} R(44,43) { !
% 0.42/1.12 unequally_directed_lines( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.42/1.12 parent0: (374) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X ), !
% 0.42/1.12 unequally_directed_lines( X, Y ) }.
% 0.42/1.12 substitution0:
% 0.42/1.12 X := Y
% 0.42/1.12 Y := X
% 0.42/1.12 end
% 0.42/1.12 permutation0:
% 0.42/1.12 0 ==> 1
% 0.42/1.12 1 ==> 0
% 0.42/1.12 end
% 0.42/1.12
% 0.42/1.12 resolution: (376) {G1,W4,D3,L1,V0,M1} { ! unequally_directed_lines(
% 0.42/1.12 reverse_line( skol2 ), skol1 ) }.
% 0.42/1.12 parent0[0]: (70) {G0,W4,D3,L1,V0,M1} I { ! unequally_directed_lines( skol1
% 0.42/1.12 , reverse_line( skol2 ) ) }.
% 0.42/1.12 parent1[1]: (136) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines
% 0.42/1.12 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.42/1.12 substitution0:
% 0.42/1.12 end
% 0.42/1.12 substitution1:
% 0.42/1.12 X := skol1
% 0.42/1.12 Y := reverse_line( skol2 )
% 0.42/1.12 end
% 0.42/1.12
% 0.42/1.12 subsumption: (148) {G2,W4,D3,L1,V0,M1} R(136,70) { !
% 0.42/1.12 unequally_directed_lines( reverse_line( skol2 ), skol1 ) }.
% 0.42/1.12 parent0: (376) {G1,W4,D3,L1,V0,M1} { ! unequally_directed_lines(
% 0.42/1.12 reverse_line( skol2 ), skol1 ) }.
% 0.42/1.12 substitution0:
% 0.42/1.12 end
% 0.42/1.12 permutation0:
% 0.42/1.12 0 ==> 0
% 0.42/1.12 end
% 0.42/1.12
% 0.42/1.12 resolution: (377) {G1,W3,D2,L1,V0,M1} { ! unequally_directed_lines( skol2
% 0.42/1.12 , skol1 ) }.
% 0.42/1.12 parent0[0]: (69) {G0,W3,D2,L1,V0,M1} I { ! unequally_directed_lines( skol1
% 0.42/1.12 , skol2 ) }.
% 0.42/1.12 parent1[1]: (136) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines
% 0.42/1.12 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.42/1.12 substitution0:
% 0.42/1.12 end
% 0.42/1.12 substitution1:
% 0.42/1.12 X := skol1
% 0.42/1.12 Y := skol2
% 0.42/1.12 end
% 0.42/1.12
% 0.42/1.12 subsumption: (149) {G2,W3,D2,L1,V0,M1} R(136,69) { !
% 0.42/1.12 unequally_directed_lines( skol2, skol1 ) }.
% 0.42/1.12 parent0: (377) {G1,W3,D2,L1,V0,M1} { ! unequally_directed_lines( skol2,
% 0.42/1.12 skol1 ) }.
% 0.42/1.12 substitution0:
% 0.42/1.12 end
% 0.42/1.12 permutation0:
% 0.42/1.12 0 ==> 0
% 0.42/1.12 end
% 0.42/1.12
% 0.42/1.12 resolution: (378) {G1,W6,D2,L2,V1,M2} { unequally_directed_lines( X, skol1
% 0.42/1.12 ), ! unequally_directed_lines( skol2, X ) }.
% 0.42/1.12 parent0[0]: (149) {G2,W3,D2,L1,V0,M1} R(136,69) { !
% 0.42/1.12 unequally_directed_lines( skol2, skol1 ) }.
% 0.42/1.12 parent1[0]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.42/1.12 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.42/1.12 substitution0:
% 0.42/1.12 end
% 0.42/1.12 substitution1:
% 0.42/1.12 X := skol2
% 0.42/1.12 Y := X
% 0.42/1.12 Z := skol1
% 0.42/1.12 end
% 0.42/1.12
% 0.42/1.12 subsumption: (150) {G3,W6,D2,L2,V1,M2} R(149,44) { !
% 0.42/1.12 unequally_directed_lines( skol2, X ), unequally_directed_lines( X, skol1
% 0.42/1.12 ) }.
% 0.42/1.12 parent0: (378) {G1,W6,D2,L2,V1,M2} { unequally_directed_lines( X, skol1 )
% 0.42/1.12 , ! unequally_directed_lines( skol2, X ) }.
% 0.42/1.12 substitution0:
% 0.42/1.12 X := X
% 0.42/1.12 end
% 0.42/1.12 permutation0:
% 0.42/1.12 0 ==> 1
% 0.42/1.12 1 ==> 0
% 0.42/1.12 end
% 0.42/1.12
% 0.42/1.12 resolution: (380) {G2,W6,D3,L2,V0,M2} { unequally_directed_lines(
% 0.42/1.12 reverse_line( skol2 ), skol1 ), ! line( skol2 ) }.
% 0.42/1.12 parent0[0]: (150) {G3,W6,D2,L2,V1,M2} R(149,44) { !
% 0.42/1.12 unequally_directed_lines( skol2, X ), unequally_directed_lines( X, skol1
% 0.42/1.12 ) }.
% 0.42/1.12 parent1[1]: (73) {G1,W6,D3,L2,V1,M1} F(50);r(43) { ! line( X ),
% 0.42/1.12 unequally_directed_lines( X, reverse_line( X ) ) }.
% 0.42/1.12 substitution0:
% 0.42/1.12 X := reverse_line( skol2 )
% 0.42/1.12 end
% 0.42/1.12 substitution1:
% 0.42/1.12 X := skol2
% 0.42/1.12 end
% 0.42/1.12
% 0.42/1.12 resolution: (381) {G3,W2,D2,L1,V0,M1} { ! line( skol2 ) }.
% 0.42/1.12 parent0[0]: (148) {G2,W4,D3,L1,V0,M1} R(136,70) { !
% 0.42/1.12 unequally_directed_lines( reverse_line( skol2 ), skol1 ) }.
% 0.42/1.12 parent1[0]: (380) {G2,W6,D3,L2,V0,M2} { unequally_directed_lines(
% 0.42/1.12 reverse_line( skol2 ), skol1 ), ! line( skol2 ) }.
% 0.42/1.12 substitution0:
% 0.42/1.12 end
% 0.42/1.12 substitution1:
% 0.42/1.12 end
% 0.42/1.12
% 0.42/1.12 subsumption: (170) {G4,W2,D2,L1,V0,M1} R(150,73);r(148) { ! line( skol2 )
% 0.42/1.12 }.
% 0.42/1.12 parent0: (381) {G3,W2,D2,L1,V0,M1} { ! line( skol2 ) }.
% 0.42/1.12 substitution0:
% 0.42/1.12 end
% 0.42/1.12 permutation0:
% 0.42/1.12 0 ==> 0
% 0.42/1.12 end
% 0.42/1.12
% 0.42/1.12 resolution: (382) {G1,W0,D0,L0,V0,M0} { }.
% 0.42/1.12 parent0[0]: (170) {G4,W2,D2,L1,V0,M1} R(150,73);r(148) { ! line( skol2 )
% 0.42/1.12 }.
% 0.42/1.12 parent1[0]: (68) {G0,W2,D2,L1,V0,M1} I { line( skol2 ) }.
% 0.42/1.12 substitution0:
% 0.42/1.12 end
% 0.42/1.12 substitution1:
% 0.42/1.12 end
% 0.42/1.12
% 0.42/1.12 subsumption: (176) {G5,W0,D0,L0,V0,M0} S(170);r(68) { }.
% 0.42/1.12 parent0: (382) {G1,W0,D0,L0,V0,M0} { }.
% 0.42/1.12 substitution0:
% 0.42/1.12 end
% 0.42/1.12 permutation0:
% 0.42/1.12 end
% 0.42/1.12
% 0.42/1.12 Proof check complete!
% 0.42/1.12
% 0.42/1.12 Memory use:
% 0.42/1.12
% 0.42/1.12 space for terms: 3253
% 0.42/1.12 space for clauses: 9370
% 0.42/1.12
% 0.42/1.12
% 0.42/1.12 clauses generated: 305
% 0.42/1.12 clauses kept: 177
% 0.42/1.12 clauses selected: 78
% 0.42/1.12 clauses deleted: 19
% 0.42/1.12 clauses inuse deleted: 0
% 0.42/1.12
% 0.42/1.12 subsentry: 1235
% 0.42/1.12 literals s-matched: 851
% 0.42/1.12 literals matched: 701
% 0.42/1.12 full subsumption: 233
% 0.42/1.12
% 0.42/1.12 checksum: -780576197
% 0.42/1.12
% 0.42/1.12
% 0.42/1.12 Bliksem ended
%------------------------------------------------------------------------------