%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO230+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 0.73s 1.09s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO230+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jun 18 18:29:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.43/1.08 *** allocated 10000 integers for termspace/termends
% 0.43/1.08 *** allocated 10000 integers for clauses
% 0.43/1.08 *** allocated 10000 integers for justifications
% 0.43/1.08 Bliksem 1.12
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Automatic Strategy Selection
% 0.43/1.08
% 0.43/1.08
% 0.43/1.08 Clauses:
% 0.43/1.08
% 0.43/1.08 { ! apart_point_and_line( X, Y ), left_apart_point( X, Y ),
% 0.43/1.08 left_apart_point( X, reverse_line( Y ) ) }.
% 0.43/1.08 { ! left_apart_point( X, Y ), apart_point_and_line( X, Y ) }.
% 0.43/1.08 { ! left_apart_point( X, reverse_line( Y ) ), apart_point_and_line( X, Y )
% 0.43/1.08 }.
% 0.43/1.08 { ! convergent_lines( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.43/1.08 { ! convergent_lines( X, Y ), unequally_directed_lines( X, reverse_line( Y
% 0.43/1.08 ) ) }.
% 0.43/1.08 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.43/1.08 reverse_line( Y ) ), convergent_lines( X, Y ) }.
% 0.43/1.08 { ! divides_points( Z, X, Y ), alpha1( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.43/1.08 { ! alpha1( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.43/1.08 { ! alpha4( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.43/1.08 { ! alpha4( X, Y, Z ), left_apart_point( X, reverse_line( Z ) ) }.
% 0.43/1.08 { ! alpha4( X, Y, Z ), left_apart_point( Y, Z ) }.
% 0.43/1.08 { ! left_apart_point( X, reverse_line( Z ) ), ! left_apart_point( Y, Z ),
% 0.43/1.08 alpha4( X, Y, Z ) }.
% 0.43/1.08 { ! alpha1( X, Y, Z ), left_apart_point( X, Z ) }.
% 0.43/1.08 { ! alpha1( X, Y, Z ), left_apart_point( Y, reverse_line( Z ) ) }.
% 0.43/1.08 { ! left_apart_point( X, Z ), ! left_apart_point( Y, reverse_line( Z ) ),
% 0.43/1.08 alpha1( X, Y, Z ) }.
% 0.43/1.08 { ! before_on_line( X, Y, Z ), distinct_points( Y, Z ) }.
% 0.43/1.08 { ! before_on_line( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.43/1.08 { ! distinct_points( Y, Z ), ! alpha7( X, Y, Z ), before_on_line( X, Y, Z )
% 0.43/1.08 }.
% 0.43/1.08 { ! alpha7( X, Y, Z ), alpha2( X, Y ) }.
% 0.43/1.08 { ! alpha7( X, Y, Z ), alpha8( X, Y, Z ) }.
% 0.43/1.08 { ! alpha2( X, Y ), ! alpha8( X, Y, Z ), alpha7( X, Y, Z ) }.
% 0.43/1.08 { ! alpha8( X, Y, Z ), alpha5( X, Z ) }.
% 0.43/1.08 { ! alpha8( X, Y, Z ), ! unequally_directed_lines( X, line_connecting( Y, Z
% 0.43/1.08 ) ) }.
% 0.43/1.08 { ! alpha5( X, Z ), unequally_directed_lines( X, line_connecting( Y, Z ) )
% 0.43/1.08 , alpha8( X, Y, Z ) }.
% 0.43/1.08 { ! alpha5( X, Y ), ! left_apart_point( Y, X ) }.
% 0.43/1.08 { ! alpha5( X, Y ), ! left_apart_point( Y, reverse_line( X ) ) }.
% 0.43/1.08 { left_apart_point( Y, X ), left_apart_point( Y, reverse_line( X ) ),
% 0.43/1.08 alpha5( X, Y ) }.
% 0.43/1.08 { ! alpha2( X, Y ), ! left_apart_point( Y, X ) }.
% 0.43/1.08 { ! alpha2( X, Y ), ! left_apart_point( Y, reverse_line( X ) ) }.
% 0.43/1.08 { left_apart_point( Y, X ), left_apart_point( Y, reverse_line( X ) ),
% 0.43/1.08 alpha2( X, Y ) }.
% 0.43/1.08 { ! between_on_line( X, Y, Z, T ), alpha3( X, Y, Z, T ), alpha6( X, Y, Z, T
% 0.43/1.08 ) }.
% 0.43/1.08 { ! alpha3( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.43/1.08 { ! alpha6( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.43/1.08 { ! alpha6( X, Y, Z, T ), before_on_line( X, T, Z ) }.
% 0.43/1.08 { ! alpha6( X, Y, Z, T ), before_on_line( X, Z, Y ) }.
% 0.43/1.08 { ! before_on_line( X, T, Z ), ! before_on_line( X, Z, Y ), alpha6( X, Y, Z
% 0.43/1.08 , T ) }.
% 0.43/1.08 { ! alpha3( X, Y, Z, T ), before_on_line( X, Y, Z ) }.
% 0.43/1.08 { ! alpha3( X, Y, Z, T ), before_on_line( X, Z, T ) }.
% 0.43/1.08 { ! before_on_line( X, Y, Z ), ! before_on_line( X, Z, T ), alpha3( X, Y, Z
% 0.43/1.08 , T ) }.
% 0.43/1.08 { ! distinct_points( X, X ) }.
% 0.43/1.08 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.43/1.08 ) }.
% 0.43/1.08 { ! distinct_lines( X, X ) }.
% 0.43/1.08 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.43/1.08 }.
% 0.43/1.08 { ! unequally_directed_lines( X, X ) }.
% 0.43/1.08 { ! unequally_directed_lines( X, Y ), unequally_directed_lines( X, Z ),
% 0.43/1.08 unequally_directed_lines( Y, Z ) }.
% 0.43/1.08 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.43/1.08 reverse_line( Y ) ), alpha9( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.43/1.08 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.43/1.08 reverse_line( Y ) ), alpha9( X, Z ), unequally_directed_lines( Y,
% 0.43/1.08 reverse_line( Z ) ) }.
% 0.43/1.08 { ! alpha9( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.43/1.08 { ! alpha9( X, Y ), unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.43/1.08 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.43/1.08 reverse_line( Y ) ), alpha9( X, Y ) }.
% 0.43/1.08 { ! line( X ), ! line( Y ), unequally_directed_lines( X, Y ),
% 0.43/1.08 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.43/1.08 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.43/1.08 reverse_line( Y ) ), left_convergent_lines( X, Y ), left_convergent_lines
% 0.43/1.08 ( X, reverse_line( Y ) ) }.
% 0.73/1.09 { ! left_apart_point( X, Y ) }.
% 0.73/1.09 { ! left_apart_point( X, reverse_line( Y ) ) }.
% 0.73/1.09 { ! left_convergent_lines( X, Y ) }.
% 0.73/1.09 { ! left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.73/1.09 { ! point( X ), ! point( Y ), ! distinct_points( X, Y ), line(
% 0.73/1.09 line_connecting( X, Y ) ) }.
% 0.73/1.09 { ! line( X ), ! line( Y ), ! unequally_directed_lines( X, Y ), !
% 0.73/1.09 unequally_directed_lines( X, reverse_line( Y ) ), point(
% 0.73/1.09 intersection_point( X, Y ) ) }.
% 0.73/1.09 { ! point( Y ), ! line( X ), line( parallel_through_point( X, Y ) ) }.
% 0.73/1.09 { ! line( X ), line( reverse_line( X ) ) }.
% 0.73/1.09 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 0.73/1.09 , Y ) ) }.
% 0.73/1.09 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 0.73/1.09 , Y ) ) }.
% 0.73/1.09 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.73/1.09 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 0.73/1.09 X ) }.
% 0.73/1.09 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.73/1.09 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 0.73/1.09 Y ) }.
% 0.73/1.09 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 0.73/1.09 { ! distinct_lines( X, reverse_line( X ) ) }.
% 0.73/1.09 { ! unequally_directed_lines( line_connecting( X, Y ), reverse_line(
% 0.73/1.09 line_connecting( Y, X ) ) ) }.
% 0.73/1.09 { ! unequally_directed_lines( parallel_through_point( Y, X ), Y ) }.
% 0.73/1.09 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), left_apart_point( X
% 0.73/1.09 , Z ), left_apart_point( Y, Z ), left_apart_point( X, T ),
% 0.73/1.09 left_apart_point( Y, T ), left_apart_point( X, reverse_line( Z ) ),
% 0.73/1.09 left_apart_point( Y, reverse_line( Z ) ), left_apart_point( X,
% 0.73/1.09 reverse_line( T ) ), left_apart_point( Y, reverse_line( T ) ) }.
% 0.73/1.09 { ! distinct_points( X, Y ), ! left_apart_point( X, Z ), left_apart_point(
% 0.73/1.09 Y, Z ), left_convergent_lines( line_connecting( X, Y ), Z ) }.
% 0.73/1.09 { ! left_apart_point( X, Y ), distinct_points( X, Z ), left_apart_point( Z
% 0.73/1.09 , Y ) }.
% 0.73/1.09 { ! left_apart_point( X, Y ), ! unequally_directed_lines( Y, Z ),
% 0.73/1.09 distinct_lines( Y, Z ), left_apart_point( X, reverse_line( Z ) ) }.
% 0.73/1.09 { ! left_convergent_lines( X, Y ), unequally_directed_lines( Y, Z ),
% 0.73/1.09 left_convergent_lines( X, Z ) }.
% 0.73/1.09 { distinct_points( skol1, skol2 ) }.
% 0.73/1.09 { distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol2,
% 0.73/1.09 skol1 ) ), unequally_directed_lines( line_connecting( skol2, skol1 ),
% 0.73/1.09 line_connecting( skol1, skol2 ) ) }.
% 0.73/1.09
% 0.73/1.09 percentage equality = 0.000000, percentage horn = 0.782609
% 0.73/1.09 This a non-horn, non-equality problem
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Options Used:
% 0.73/1.09
% 0.73/1.09 useres = 1
% 0.73/1.09 useparamod = 0
% 0.73/1.09 useeqrefl = 0
% 0.73/1.09 useeqfact = 0
% 0.73/1.09 usefactor = 1
% 0.73/1.09 usesimpsplitting = 0
% 0.73/1.09 usesimpdemod = 0
% 0.73/1.09 usesimpres = 3
% 0.73/1.09
% 0.73/1.09 resimpinuse = 1000
% 0.73/1.09 resimpclauses = 20000
% 0.73/1.09 substype = standard
% 0.73/1.09 backwardsubs = 1
% 0.73/1.09 selectoldest = 5
% 0.73/1.09
% 0.73/1.09 litorderings [0] = split
% 0.73/1.09 litorderings [1] = liftord
% 0.73/1.09
% 0.73/1.09 termordering = none
% 0.73/1.09
% 0.73/1.09 litapriori = 1
% 0.73/1.09 termapriori = 0
% 0.73/1.09 litaposteriori = 0
% 0.73/1.09 termaposteriori = 0
% 0.73/1.09 demodaposteriori = 0
% 0.73/1.09 ordereqreflfact = 0
% 0.73/1.09
% 0.73/1.09 litselect = none
% 0.73/1.09
% 0.73/1.09 maxweight = 15
% 0.73/1.09 maxdepth = 30000
% 0.73/1.09 maxlength = 115
% 0.73/1.09 maxnrvars = 195
% 0.73/1.09 excuselevel = 1
% 0.73/1.09 increasemaxweight = 1
% 0.73/1.09
% 0.73/1.09 maxselected = 10000000
% 0.73/1.09 maxnrclauses = 10000000
% 0.73/1.09
% 0.73/1.09 showgenerated = 0
% 0.73/1.09 showkept = 0
% 0.73/1.09 showselected = 0
% 0.73/1.09 showdeleted = 0
% 0.73/1.09 showresimp = 1
% 0.73/1.09 showstatus = 2000
% 0.73/1.09
% 0.73/1.09 prologoutput = 0
% 0.73/1.09 nrgoals = 5000000
% 0.73/1.09 totalproof = 1
% 0.73/1.09
% 0.73/1.09 Symbols occurring in the translation:
% 0.73/1.09
% 0.73/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.09 . [1, 2] (w:1, o:22, a:1, s:1, b:0),
% 0.73/1.09 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 0.73/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.09 apart_point_and_line [37, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.73/1.09 left_apart_point [38, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.73/1.09 reverse_line [39, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.73/1.09 convergent_lines [41, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.73/1.09 unequally_directed_lines [42, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.73/1.09 divides_points [44, 3] (w:1, o:59, a:1, s:1, b:0),
% 0.73/1.09 before_on_line [45, 3] (w:1, o:64, a:1, s:1, b:0),
% 0.73/1.09 distinct_points [46, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.73/1.09 line_connecting [47, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.73/1.09 between_on_line [49, 4] (w:1, o:67, a:1, s:1, b:0),
% 0.73/1.09 distinct_lines [50, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.73/1.09 line [52, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.73/1.09 left_convergent_lines [53, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.73/1.09 point [54, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.73/1.09 intersection_point [55, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.73/1.09 parallel_through_point [56, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.73/1.09 alpha1 [57, 3] (w:1, o:60, a:1, s:1, b:0),
% 0.73/1.09 alpha2 [58, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.73/1.09 alpha3 [59, 4] (w:1, o:65, a:1, s:1, b:0),
% 0.73/1.09 alpha4 [60, 3] (w:1, o:61, a:1, s:1, b:0),
% 0.73/1.09 alpha5 [61, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.73/1.09 alpha6 [62, 4] (w:1, o:66, a:1, s:1, b:0),
% 0.73/1.09 alpha7 [63, 3] (w:1, o:62, a:1, s:1, b:0),
% 0.73/1.09 alpha8 [64, 3] (w:1, o:63, a:1, s:1, b:0),
% 0.73/1.09 alpha9 [65, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.73/1.09 skol1 [66, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.73/1.09 skol2 [67, 0] (w:1, o:13, a:1, s:1, b:0).
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Starting Search:
% 0.73/1.09
% 0.73/1.09 *** allocated 15000 integers for clauses
% 0.73/1.09 *** allocated 22500 integers for clauses
% 0.73/1.09 *** allocated 33750 integers for clauses
% 0.73/1.09
% 0.73/1.09 Bliksems!, er is een bewijs:
% 0.73/1.09 % SZS status Theorem
% 0.73/1.09 % SZS output start Refutation
% 0.73/1.09
% 0.73/1.09 (39) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 0.73/1.09 (40) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 0.73/1.09 ), ! distinct_points( X, Y ) }.
% 0.73/1.09 (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X ) }.
% 0.73/1.09 (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.73/1.09 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.73/1.09 (51) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y ), !
% 0.73/1.09 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 0.73/1.09 X, reverse_line( Y ) ), left_convergent_lines( X, Y ) }.
% 0.73/1.09 (52) {G0,W3,D2,L1,V2,M1} I { ! left_apart_point( X, Y ) }.
% 0.73/1.09 (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y ) }.
% 0.73/1.09 (64) {G0,W8,D4,L1,V2,M1} I { ! unequally_directed_lines( line_connecting( X
% 0.73/1.09 , Y ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.73/1.09 (65) {G0,W5,D3,L1,V2,M1} I { ! unequally_directed_lines(
% 0.73/1.09 parallel_through_point( Y, X ), Y ) }.
% 0.73/1.09 (66) {G1,W31,D3,L9,V4,M1} I;r(52) { ! distinct_points( X, Y ),
% 0.73/1.09 left_apart_point( Y, Z ), left_apart_point( X, T ), left_apart_point( Y,
% 0.73/1.09 T ), left_apart_point( X, reverse_line( Z ) ), left_apart_point( Y,
% 0.73/1.09 reverse_line( Z ) ), left_apart_point( X, reverse_line( T ) ),
% 0.73/1.09 left_apart_point( Y, reverse_line( T ) ), ! distinct_lines( Z, T ) }.
% 0.73/1.09 (67) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 ) }.
% 0.73/1.09 (68) {G0,W14,D3,L2,V0,M1} I { unequally_directed_lines( line_connecting(
% 0.73/1.09 skol2, skol1 ), line_connecting( skol1, skol2 ) ), distinct_lines(
% 0.73/1.09 line_connecting( skol1, skol2 ), line_connecting( skol2, skol1 ) ) }.
% 0.73/1.09 (108) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines( Y, X ),
% 0.73/1.09 unequally_directed_lines( X, Y ) }.
% 0.73/1.09 (111) {G2,W9,D2,L3,V3,M3} R(108,44) { unequally_directed_lines( Z, X ), !
% 0.73/1.09 unequally_directed_lines( Y, Z ), unequally_directed_lines( X, Y ) }.
% 0.73/1.09 (113) {G2,W8,D4,L1,V2,M1} R(108,64) { ! unequally_directed_lines(
% 0.73/1.09 reverse_line( line_connecting( X, Y ) ), line_connecting( Y, X ) ) }.
% 0.73/1.09 (119) {G2,W5,D3,L1,V2,M1} R(108,65) { ! unequally_directed_lines( X,
% 0.73/1.09 parallel_through_point( X, Y ) ) }.
% 0.73/1.09 (120) {G3,W8,D3,L2,V3,M2} R(119,44) { ! unequally_directed_lines( Y, X ),
% 0.73/1.09 unequally_directed_lines( X, parallel_through_point( Y, Z ) ) }.
% 0.73/1.09 (342) {G1,W6,D2,L2,V1,M1} R(40,67) { distinct_points( skol1, X ),
% 0.73/1.09 distinct_points( skol2, X ) }.
% 0.73/1.09 (343) {G1,W6,D2,L2,V2,M2} R(40,39) { ! distinct_points( Y, X ),
% 0.73/1.09 distinct_points( X, Y ) }.
% 0.73/1.09 (347) {G2,W6,D2,L2,V1,M2} R(342,343) { distinct_points( X, skol2 ),
% 0.73/1.09 distinct_points( skol1, X ) }.
% 0.73/1.09 (349) {G3,W6,D2,L2,V1,M1} R(347,343) { distinct_points( X, skol1 ),
% 0.73/1.09 distinct_points( X, skol2 ) }.
% 0.73/1.09 (361) {G4,W6,D2,L2,V1,M2} R(349,343) { distinct_points( skol2, X ),
% 0.73/1.09 distinct_points( X, skol1 ) }.
% 0.73/1.09 (454) {G1,W7,D3,L2,V2,M2} S(51);r(53);r(53) { ! unequally_directed_lines( X
% 0.73/1.09 , reverse_line( Y ) ), ! unequally_directed_lines( X, Y ) }.
% 0.73/1.09 (494) {G2,W7,D3,L2,V2,M2} R(454,108) { ! unequally_directed_lines( Y, X ),
% 0.73/1.09 ! unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.73/1.09 (550) {G3,W10,D3,L3,V3,M3} R(494,111) { ! unequally_directed_lines( Z, Y )
% 0.73/1.09 , unequally_directed_lines( reverse_line( X ), Z ), !
% 0.73/1.09 unequally_directed_lines( X, Y ) }.
% 0.73/1.09 (553) {G4,W7,D3,L2,V2,M2} F(550) { unequally_directed_lines( reverse_line(
% 0.73/1.09 X ), X ), ! unequally_directed_lines( X, Y ) }.
% 0.73/1.09 (562) {G5,W5,D3,L1,V2,M1} R(553,113) { ! unequally_directed_lines(
% 0.73/1.09 line_connecting( X, X ), Y ) }.
% 0.73/1.09 (584) {G6,W5,D3,L1,V2,M1} R(562,120) { ! unequally_directed_lines( X,
% 0.73/1.09 line_connecting( Y, Y ) ) }.
% 0.73/1.09 (585) {G7,W3,D2,L1,V2,M1} R(584,111);r(562) { ! unequally_directed_lines( X
% 0.73/1.09 , Y ) }.
% 0.73/1.09 (588) {G2,W6,D2,L2,V4,M1} S(66);r(52);r(52);r(52);r(52);r(52);r(52);r(52)
% 0.73/1.09 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ) }.
% 0.73/1.09 (589) {G8,W7,D3,L1,V0,M1} S(68);r(585) { distinct_lines( line_connecting(
% 0.73/1.09 skol1, skol2 ), line_connecting( skol2, skol1 ) ) }.
% 0.73/1.09 (590) {G9,W3,D2,L1,V2,M1} R(589,588) { ! distinct_points( X, Y ) }.
% 0.73/1.09 (598) {G10,W0,D0,L0,V0,M0} R(590,361);r(590) { }.
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 % SZS output end Refutation
% 0.73/1.09 found a proof!
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Unprocessed initial clauses:
% 0.73/1.09
% 0.73/1.09 (600) {G0,W10,D3,L3,V2,M3} { ! apart_point_and_line( X, Y ),
% 0.73/1.09 left_apart_point( X, Y ), left_apart_point( X, reverse_line( Y ) ) }.
% 0.73/1.09 (601) {G0,W6,D2,L2,V2,M2} { ! left_apart_point( X, Y ),
% 0.73/1.09 apart_point_and_line( X, Y ) }.
% 0.73/1.09 (602) {G0,W7,D3,L2,V2,M2} { ! left_apart_point( X, reverse_line( Y ) ),
% 0.73/1.09 apart_point_and_line( X, Y ) }.
% 0.73/1.09 (603) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.73/1.09 unequally_directed_lines( X, Y ) }.
% 0.73/1.09 (604) {G0,W7,D3,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.73/1.09 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.73/1.09 (605) {G0,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.73/1.09 unequally_directed_lines( X, reverse_line( Y ) ), convergent_lines( X, Y
% 0.73/1.09 ) }.
% 0.73/1.09 (606) {G0,W12,D2,L3,V3,M3} { ! divides_points( Z, X, Y ), alpha1( X, Y, Z
% 0.73/1.09 ), alpha4( X, Y, Z ) }.
% 0.73/1.09 (607) {G0,W8,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), divides_points( Z, X, Y )
% 0.73/1.09 }.
% 0.73/1.09 (608) {G0,W8,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), divides_points( Z, X, Y )
% 0.73/1.09 }.
% 0.73/1.09 (609) {G0,W8,D3,L2,V3,M2} { ! alpha4( X, Y, Z ), left_apart_point( X,
% 0.73/1.09 reverse_line( Z ) ) }.
% 0.73/1.09 (610) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), left_apart_point( Y, Z )
% 0.73/1.09 }.
% 0.73/1.09 (611) {G0,W11,D3,L3,V3,M3} { ! left_apart_point( X, reverse_line( Z ) ), !
% 0.73/1.09 left_apart_point( Y, Z ), alpha4( X, Y, Z ) }.
% 0.73/1.09 (612) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), left_apart_point( X, Z )
% 0.73/1.09 }.
% 0.73/1.09 (613) {G0,W8,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), left_apart_point( Y,
% 0.73/1.09 reverse_line( Z ) ) }.
% 0.73/1.09 (614) {G0,W11,D3,L3,V3,M3} { ! left_apart_point( X, Z ), !
% 0.73/1.09 left_apart_point( Y, reverse_line( Z ) ), alpha1( X, Y, Z ) }.
% 0.73/1.09 (615) {G0,W7,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), distinct_points(
% 0.73/1.09 Y, Z ) }.
% 0.73/1.09 (616) {G0,W8,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), alpha7( X, Y, Z )
% 0.73/1.09 }.
% 0.73/1.09 (617) {G0,W11,D2,L3,V3,M3} { ! distinct_points( Y, Z ), ! alpha7( X, Y, Z
% 0.73/1.09 ), before_on_line( X, Y, Z ) }.
% 0.73/1.09 (618) {G0,W7,D2,L2,V3,M2} { ! alpha7( X, Y, Z ), alpha2( X, Y ) }.
% 0.73/1.09 (619) {G0,W8,D2,L2,V3,M2} { ! alpha7( X, Y, Z ), alpha8( X, Y, Z ) }.
% 0.73/1.09 (620) {G0,W11,D2,L3,V3,M3} { ! alpha2( X, Y ), ! alpha8( X, Y, Z ), alpha7
% 0.73/1.09 ( X, Y, Z ) }.
% 0.73/1.09 (621) {G0,W7,D2,L2,V3,M2} { ! alpha8( X, Y, Z ), alpha5( X, Z ) }.
% 0.73/1.09 (622) {G0,W9,D3,L2,V3,M2} { ! alpha8( X, Y, Z ), !
% 0.73/1.09 unequally_directed_lines( X, line_connecting( Y, Z ) ) }.
% 0.73/1.09 (623) {G0,W12,D3,L3,V3,M3} { ! alpha5( X, Z ), unequally_directed_lines( X
% 0.73/1.09 , line_connecting( Y, Z ) ), alpha8( X, Y, Z ) }.
% 0.73/1.09 (624) {G0,W6,D2,L2,V2,M2} { ! alpha5( X, Y ), ! left_apart_point( Y, X )
% 0.73/1.09 }.
% 0.73/1.09 (625) {G0,W7,D3,L2,V2,M2} { ! alpha5( X, Y ), ! left_apart_point( Y,
% 0.73/1.09 reverse_line( X ) ) }.
% 0.73/1.09 (626) {G0,W10,D3,L3,V2,M3} { left_apart_point( Y, X ), left_apart_point( Y
% 0.73/1.09 , reverse_line( X ) ), alpha5( X, Y ) }.
% 0.73/1.09 (627) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), ! left_apart_point( Y, X )
% 0.73/1.09 }.
% 0.73/1.09 (628) {G0,W7,D3,L2,V2,M2} { ! alpha2( X, Y ), ! left_apart_point( Y,
% 0.73/1.09 reverse_line( X ) ) }.
% 0.73/1.09 (629) {G0,W10,D3,L3,V2,M3} { left_apart_point( Y, X ), left_apart_point( Y
% 0.73/1.09 , reverse_line( X ) ), alpha2( X, Y ) }.
% 0.73/1.09 (630) {G0,W15,D2,L3,V4,M3} { ! between_on_line( X, Y, Z, T ), alpha3( X, Y
% 0.73/1.09 , Z, T ), alpha6( X, Y, Z, T ) }.
% 0.73/1.09 (631) {G0,W10,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), between_on_line( X, Y
% 0.73/1.09 , Z, T ) }.
% 0.73/1.09 (632) {G0,W10,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), between_on_line( X, Y
% 0.73/1.09 , Z, T ) }.
% 0.73/1.09 (633) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, T,
% 0.73/1.09 Z ) }.
% 0.73/1.09 (634) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, Z,
% 0.73/1.09 Y ) }.
% 0.73/1.09 (635) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, T, Z ), ! before_on_line
% 0.73/1.09 ( X, Z, Y ), alpha6( X, Y, Z, T ) }.
% 0.73/1.09 (636) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Y,
% 0.73/1.09 Z ) }.
% 0.73/1.09 (637) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Z,
% 0.73/1.09 T ) }.
% 0.73/1.09 (638) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, Y, Z ), ! before_on_line
% 0.73/1.09 ( X, Z, T ), alpha3( X, Y, Z, T ) }.
% 0.73/1.09 (639) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.73/1.09 (640) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.73/1.09 , Z ), distinct_points( Y, Z ) }.
% 0.73/1.09 (641) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.73/1.09 (642) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 0.73/1.09 ), distinct_lines( Y, Z ) }.
% 0.73/1.09 (643) {G0,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, X ) }.
% 0.73/1.09 (644) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.73/1.09 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.73/1.09 (645) {G0,W13,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 0.73/1.09 unequally_directed_lines( X, reverse_line( Y ) ), alpha9( X, Z ),
% 0.73/1.09 unequally_directed_lines( Y, Z ) }.
% 0.73/1.09 (646) {G0,W14,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 0.73/1.09 unequally_directed_lines( X, reverse_line( Y ) ), alpha9( X, Z ),
% 0.73/1.09 unequally_directed_lines( Y, reverse_line( Z ) ) }.
% 0.73/1.09 (647) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), unequally_directed_lines( X
% 0.73/1.09 , Y ) }.
% 0.73/1.09 (648) {G0,W7,D3,L2,V2,M2} { ! alpha9( X, Y ), unequally_directed_lines( X
% 0.73/1.09 , reverse_line( Y ) ) }.
% 0.73/1.09 (649) {G0,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.73/1.09 unequally_directed_lines( X, reverse_line( Y ) ), alpha9( X, Y ) }.
% 0.73/1.09 (650) {G0,W11,D3,L4,V2,M4} { ! line( X ), ! line( Y ),
% 0.73/1.09 unequally_directed_lines( X, Y ), unequally_directed_lines( X,
% 0.73/1.09 reverse_line( Y ) ) }.
% 0.73/1.09 (651) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y ), !
% 0.73/1.09 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 0.73/1.09 X, Y ), left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.73/1.09 (652) {G0,W3,D2,L1,V2,M1} { ! left_apart_point( X, Y ) }.
% 0.73/1.09 (653) {G0,W4,D3,L1,V2,M1} { ! left_apart_point( X, reverse_line( Y ) ) }.
% 0.73/1.09 (654) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 0.73/1.09 (655) {G0,W4,D3,L1,V2,M1} { ! left_convergent_lines( X, reverse_line( Y )
% 0.73/1.09 ) }.
% 0.73/1.09 (656) {G0,W11,D3,L4,V2,M4} { ! point( X ), ! point( Y ), ! distinct_points
% 0.73/1.09 ( X, Y ), line( line_connecting( X, Y ) ) }.
% 0.73/1.09 (657) {G0,W15,D3,L5,V2,M5} { ! line( X ), ! line( Y ), !
% 0.73/1.09 unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.73/1.09 reverse_line( Y ) ), point( intersection_point( X, Y ) ) }.
% 0.73/1.09 (658) {G0,W8,D3,L3,V2,M3} { ! point( Y ), ! line( X ), line(
% 0.73/1.09 parallel_through_point( X, Y ) ) }.
% 0.73/1.09 (659) {G0,W5,D3,L2,V1,M2} { ! line( X ), line( reverse_line( X ) ) }.
% 0.73/1.09 (660) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.73/1.09 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.73/1.09 (661) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.73/1.09 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.73/1.09 (662) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.73/1.09 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 0.73/1.09 ( intersection_point( X, Y ), X ) }.
% 0.73/1.09 (663) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.73/1.09 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 0.73/1.09 ( intersection_point( X, Y ), Y ) }.
% 0.73/1.09 (664) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 0.73/1.09 parallel_through_point( Y, X ) ) }.
% 0.73/1.09 (665) {G0,W4,D3,L1,V1,M1} { ! distinct_lines( X, reverse_line( X ) ) }.
% 0.73/1.09 (666) {G0,W8,D4,L1,V2,M1} { ! unequally_directed_lines( line_connecting( X
% 0.73/1.09 , Y ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.73/1.09 (667) {G0,W5,D3,L1,V2,M1} { ! unequally_directed_lines(
% 0.73/1.09 parallel_through_point( Y, X ), Y ) }.
% 0.73/1.09 (668) {G0,W34,D3,L10,V4,M10} { ! distinct_points( X, Y ), ! distinct_lines
% 0.73/1.09 ( Z, T ), left_apart_point( X, Z ), left_apart_point( Y, Z ),
% 0.73/1.09 left_apart_point( X, T ), left_apart_point( Y, T ), left_apart_point( X,
% 0.73/1.09 reverse_line( Z ) ), left_apart_point( Y, reverse_line( Z ) ),
% 0.73/1.09 left_apart_point( X, reverse_line( T ) ), left_apart_point( Y,
% 0.73/1.09 reverse_line( T ) ) }.
% 0.73/1.09 (669) {G0,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), ! left_apart_point
% 0.73/1.09 ( X, Z ), left_apart_point( Y, Z ), left_convergent_lines(
% 0.73/1.09 line_connecting( X, Y ), Z ) }.
% 0.73/1.09 (670) {G0,W9,D2,L3,V3,M3} { ! left_apart_point( X, Y ), distinct_points( X
% 0.73/1.09 , Z ), left_apart_point( Z, Y ) }.
% 0.73/1.09 (671) {G0,W13,D3,L4,V3,M4} { ! left_apart_point( X, Y ), !
% 0.73/1.09 unequally_directed_lines( Y, Z ), distinct_lines( Y, Z ),
% 0.73/1.09 left_apart_point( X, reverse_line( Z ) ) }.
% 0.73/1.09 (672) {G0,W9,D2,L3,V3,M3} { ! left_convergent_lines( X, Y ),
% 0.73/1.09 unequally_directed_lines( Y, Z ), left_convergent_lines( X, Z ) }.
% 0.73/1.09 (673) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 0.73/1.09 (674) {G0,W14,D3,L2,V0,M2} { distinct_lines( line_connecting( skol1, skol2
% 0.73/1.09 ), line_connecting( skol2, skol1 ) ), unequally_directed_lines(
% 0.73/1.09 line_connecting( skol2, skol1 ), line_connecting( skol1, skol2 ) ) }.
% 0.73/1.09
% 0.73/1.09
% 0.73/1.09 Total Proof:
% 0.73/1.09
% 0.73/1.09 subsumption: (39) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 0.73/1.09 parent0: (639) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.73/1.09 substitution0:
% 0.73/1.09 X := X
% 0.73/1.09 end
% 0.73/1.09 permutation0:
% 0.73/1.09 0 ==> 0
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 subsumption: (40) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 0.73/1.09 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 0.73/1.09 parent0: (640) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ),
% 0.73/1.09 distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 0.73/1.09 substitution0:
% 0.73/1.09 X := X
% 0.73/1.09 Y := Y
% 0.73/1.09 Z := Z
% 0.73/1.09 end
% 0.73/1.09 permutation0:
% 0.73/1.09 0 ==> 2
% 0.73/1.09 1 ==> 0
% 0.73/1.09 2 ==> 1
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 subsumption: (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X
% 0.73/1.09 ) }.
% 0.73/1.09 parent0: (643) {G0,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, X )
% 0.73/1.09 }.
% 0.73/1.09 substitution0:
% 0.73/1.09 X := X
% 0.73/1.09 end
% 0.73/1.09 permutation0:
% 0.73/1.09 0 ==> 0
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 subsumption: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z )
% 0.73/1.09 , unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y )
% 0.73/1.09 }.
% 0.73/1.09 parent0: (644) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.73/1.09 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.73/1.09 substitution0:
% 0.73/1.09 X := X
% 0.73/1.09 Y := Y
% 0.73/1.09 Z := Z
% 0.73/1.09 end
% 0.73/1.09 permutation0:
% 0.73/1.09 0 ==> 2
% 0.73/1.09 1 ==> 0
% 0.73/1.09 2 ==> 1
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 subsumption: (51) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y
% 0.73/1.09 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.73/1.09 left_convergent_lines( X, reverse_line( Y ) ), left_convergent_lines( X,
% 0.73/1.09 Y ) }.
% 0.73/1.09 parent0: (651) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y ),
% 0.73/1.09 ! unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines
% 0.73/1.09 ( X, Y ), left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.73/1.09 substitution0:
% 0.73/1.09 X := X
% 0.73/1.09 Y := Y
% 0.73/1.09 end
% 0.73/1.09 permutation0:
% 0.73/1.09 0 ==> 0
% 0.73/1.09 1 ==> 1
% 0.73/1.09 2 ==> 3
% 0.73/1.09 3 ==> 2
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 subsumption: (52) {G0,W3,D2,L1,V2,M1} I { ! left_apart_point( X, Y ) }.
% 0.73/1.09 parent0: (652) {G0,W3,D2,L1,V2,M1} { ! left_apart_point( X, Y ) }.
% 0.73/1.09 substitution0:
% 0.73/1.09 X := X
% 0.73/1.09 Y := Y
% 0.73/1.09 end
% 0.73/1.09 permutation0:
% 0.73/1.09 0 ==> 0
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 subsumption: (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.73/1.09 }.
% 0.73/1.09 parent0: (654) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 0.73/1.09 substitution0:
% 0.73/1.09 X := X
% 0.73/1.09 Y := Y
% 0.73/1.09 end
% 0.73/1.09 permutation0:
% 0.73/1.09 0 ==> 0
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 subsumption: (64) {G0,W8,D4,L1,V2,M1} I { ! unequally_directed_lines(
% 0.73/1.09 line_connecting( X, Y ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.73/1.09 parent0: (666) {G0,W8,D4,L1,V2,M1} { ! unequally_directed_lines(
% 0.73/1.09 line_connecting( X, Y ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.73/1.09 substitution0:
% 0.73/1.09 X := X
% 0.73/1.09 Y := Y
% 0.73/1.09 end
% 0.73/1.09 permutation0:
% 0.73/1.09 0 ==> 0
% 0.73/1.09 end
% 0.73/1.09
% 0.73/1.09 subsumption: (65) {G0,W5,D3,L1,V2,M1} I { ! unequally_directed_lines(
% 0.73/1.09 parallel_through_point( Y, X ), Y ) }.
% 0.73/1.09 parent0: (667) {G0,W5,D3,L1,V2,M1} { ! unequally_directed_lines(
% 0.73/1.10 parallel_through_point( Y, X ), Y ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 Y := Y
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 0
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 *** allocated 15000 integers for termspace/termends
% 0.73/1.10 resolution: (1015) {G1,W31,D3,L9,V4,M9} { ! distinct_points( X, Z ), !
% 0.73/1.10 distinct_lines( Y, T ), left_apart_point( Z, Y ), left_apart_point( X, T
% 0.73/1.10 ), left_apart_point( Z, T ), left_apart_point( X, reverse_line( Y ) ),
% 0.73/1.10 left_apart_point( Z, reverse_line( Y ) ), left_apart_point( X,
% 0.73/1.10 reverse_line( T ) ), left_apart_point( Z, reverse_line( T ) ) }.
% 0.73/1.10 parent0[0]: (52) {G0,W3,D2,L1,V2,M1} I { ! left_apart_point( X, Y ) }.
% 0.73/1.10 parent1[2]: (668) {G0,W34,D3,L10,V4,M10} { ! distinct_points( X, Y ), !
% 0.73/1.10 distinct_lines( Z, T ), left_apart_point( X, Z ), left_apart_point( Y, Z
% 0.73/1.10 ), left_apart_point( X, T ), left_apart_point( Y, T ), left_apart_point
% 0.73/1.10 ( X, reverse_line( Z ) ), left_apart_point( Y, reverse_line( Z ) ),
% 0.73/1.10 left_apart_point( X, reverse_line( T ) ), left_apart_point( Y,
% 0.73/1.10 reverse_line( T ) ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 Y := Y
% 0.73/1.10 end
% 0.73/1.10 substitution1:
% 0.73/1.10 X := X
% 0.73/1.10 Y := Z
% 0.73/1.10 Z := Y
% 0.73/1.10 T := T
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 subsumption: (66) {G1,W31,D3,L9,V4,M1} I;r(52) { ! distinct_points( X, Y )
% 0.73/1.10 , left_apart_point( Y, Z ), left_apart_point( X, T ), left_apart_point( Y
% 0.73/1.10 , T ), left_apart_point( X, reverse_line( Z ) ), left_apart_point( Y,
% 0.73/1.10 reverse_line( Z ) ), left_apart_point( X, reverse_line( T ) ),
% 0.73/1.10 left_apart_point( Y, reverse_line( T ) ), ! distinct_lines( Z, T ) }.
% 0.73/1.10 parent0: (1015) {G1,W31,D3,L9,V4,M9} { ! distinct_points( X, Z ), !
% 0.73/1.10 distinct_lines( Y, T ), left_apart_point( Z, Y ), left_apart_point( X, T
% 0.73/1.10 ), left_apart_point( Z, T ), left_apart_point( X, reverse_line( Y ) ),
% 0.73/1.10 left_apart_point( Z, reverse_line( Y ) ), left_apart_point( X,
% 0.73/1.10 reverse_line( T ) ), left_apart_point( Z, reverse_line( T ) ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 Y := Z
% 0.73/1.10 Z := Y
% 0.73/1.10 T := T
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 0
% 0.73/1.10 1 ==> 8
% 0.73/1.10 2 ==> 1
% 0.73/1.10 3 ==> 2
% 0.73/1.10 4 ==> 3
% 0.73/1.10 5 ==> 4
% 0.73/1.10 6 ==> 5
% 0.73/1.10 7 ==> 6
% 0.73/1.10 8 ==> 7
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 *** allocated 50625 integers for clauses
% 0.73/1.10 subsumption: (67) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 0.73/1.10 }.
% 0.73/1.10 parent0: (673) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 0
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 subsumption: (68) {G0,W14,D3,L2,V0,M1} I { unequally_directed_lines(
% 0.73/1.10 line_connecting( skol2, skol1 ), line_connecting( skol1, skol2 ) ),
% 0.73/1.10 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol2,
% 0.73/1.10 skol1 ) ) }.
% 0.73/1.10 parent0: (674) {G0,W14,D3,L2,V0,M2} { distinct_lines( line_connecting(
% 0.73/1.10 skol1, skol2 ), line_connecting( skol2, skol1 ) ),
% 0.73/1.10 unequally_directed_lines( line_connecting( skol2, skol1 ),
% 0.73/1.10 line_connecting( skol1, skol2 ) ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 1
% 0.73/1.10 1 ==> 0
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 resolution: (1135) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X )
% 0.73/1.10 , ! unequally_directed_lines( X, Y ) }.
% 0.73/1.10 parent0[0]: (43) {G0,W3,D2,L1,V1,M1} I { ! unequally_directed_lines( X, X )
% 0.73/1.10 }.
% 0.73/1.10 parent1[0]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.73/1.10 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 end
% 0.73/1.10 substitution1:
% 0.73/1.10 X := X
% 0.73/1.10 Y := Y
% 0.73/1.10 Z := X
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 subsumption: (108) {G1,W6,D2,L2,V2,M2} R(44,43) { !
% 0.73/1.10 unequally_directed_lines( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.73/1.10 parent0: (1135) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X ), !
% 0.73/1.10 unequally_directed_lines( X, Y ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := Y
% 0.73/1.10 Y := X
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 1
% 0.73/1.10 1 ==> 0
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 resolution: (1137) {G1,W9,D2,L3,V3,M3} { unequally_directed_lines( Y, X )
% 0.73/1.10 , unequally_directed_lines( Z, Y ), ! unequally_directed_lines( X, Z )
% 0.73/1.10 }.
% 0.73/1.10 parent0[0]: (108) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines
% 0.73/1.10 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.73/1.10 parent1[0]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.73/1.10 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := Y
% 0.73/1.10 Y := X
% 0.73/1.10 end
% 0.73/1.10 substitution1:
% 0.73/1.10 X := X
% 0.73/1.10 Y := Z
% 0.73/1.10 Z := Y
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 subsumption: (111) {G2,W9,D2,L3,V3,M3} R(108,44) { unequally_directed_lines
% 0.73/1.10 ( Z, X ), ! unequally_directed_lines( Y, Z ), unequally_directed_lines( X
% 0.73/1.10 , Y ) }.
% 0.73/1.10 parent0: (1137) {G1,W9,D2,L3,V3,M3} { unequally_directed_lines( Y, X ),
% 0.73/1.10 unequally_directed_lines( Z, Y ), ! unequally_directed_lines( X, Z ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := Y
% 0.73/1.10 Y := X
% 0.73/1.10 Z := Z
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 2
% 0.73/1.10 1 ==> 0
% 0.73/1.10 2 ==> 1
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 resolution: (1140) {G1,W8,D4,L1,V2,M1} { ! unequally_directed_lines(
% 0.73/1.10 reverse_line( line_connecting( Y, X ) ), line_connecting( X, Y ) ) }.
% 0.73/1.10 parent0[0]: (64) {G0,W8,D4,L1,V2,M1} I { ! unequally_directed_lines(
% 0.73/1.10 line_connecting( X, Y ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.73/1.10 parent1[1]: (108) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines
% 0.73/1.10 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 Y := Y
% 0.73/1.10 end
% 0.73/1.10 substitution1:
% 0.73/1.10 X := line_connecting( X, Y )
% 0.73/1.10 Y := reverse_line( line_connecting( Y, X ) )
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 subsumption: (113) {G2,W8,D4,L1,V2,M1} R(108,64) { !
% 0.73/1.10 unequally_directed_lines( reverse_line( line_connecting( X, Y ) ),
% 0.73/1.10 line_connecting( Y, X ) ) }.
% 0.73/1.10 parent0: (1140) {G1,W8,D4,L1,V2,M1} { ! unequally_directed_lines(
% 0.73/1.10 reverse_line( line_connecting( Y, X ) ), line_connecting( X, Y ) ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := Y
% 0.73/1.10 Y := X
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 0
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 resolution: (1141) {G1,W5,D3,L1,V2,M1} { ! unequally_directed_lines( X,
% 0.73/1.10 parallel_through_point( X, Y ) ) }.
% 0.73/1.10 parent0[0]: (65) {G0,W5,D3,L1,V2,M1} I { ! unequally_directed_lines(
% 0.73/1.10 parallel_through_point( Y, X ), Y ) }.
% 0.73/1.10 parent1[1]: (108) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines
% 0.73/1.10 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := Y
% 0.73/1.10 Y := X
% 0.73/1.10 end
% 0.73/1.10 substitution1:
% 0.73/1.10 X := parallel_through_point( X, Y )
% 0.73/1.10 Y := X
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 subsumption: (119) {G2,W5,D3,L1,V2,M1} R(108,65) { !
% 0.73/1.10 unequally_directed_lines( X, parallel_through_point( X, Y ) ) }.
% 0.73/1.10 parent0: (1141) {G1,W5,D3,L1,V2,M1} { ! unequally_directed_lines( X,
% 0.73/1.10 parallel_through_point( X, Y ) ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 Y := Y
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 0
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 resolution: (1142) {G1,W8,D3,L2,V3,M2} { unequally_directed_lines( Z,
% 0.73/1.10 parallel_through_point( X, Y ) ), ! unequally_directed_lines( X, Z ) }.
% 0.73/1.10 parent0[0]: (119) {G2,W5,D3,L1,V2,M1} R(108,65) { !
% 0.73/1.10 unequally_directed_lines( X, parallel_through_point( X, Y ) ) }.
% 0.73/1.10 parent1[0]: (44) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.73/1.10 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 Y := Y
% 0.73/1.10 end
% 0.73/1.10 substitution1:
% 0.73/1.10 X := X
% 0.73/1.10 Y := Z
% 0.73/1.10 Z := parallel_through_point( X, Y )
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 subsumption: (120) {G3,W8,D3,L2,V3,M2} R(119,44) { !
% 0.73/1.10 unequally_directed_lines( Y, X ), unequally_directed_lines( X,
% 0.73/1.10 parallel_through_point( Y, Z ) ) }.
% 0.73/1.10 parent0: (1142) {G1,W8,D3,L2,V3,M2} { unequally_directed_lines( Z,
% 0.73/1.10 parallel_through_point( X, Y ) ), ! unequally_directed_lines( X, Z ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := Y
% 0.73/1.10 Y := Z
% 0.73/1.10 Z := X
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 1
% 0.73/1.10 1 ==> 0
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 resolution: (1144) {G1,W6,D2,L2,V1,M2} { distinct_points( skol1, X ),
% 0.73/1.10 distinct_points( skol2, X ) }.
% 0.73/1.10 parent0[2]: (40) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 0.73/1.10 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 0.73/1.10 parent1[0]: (67) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 0.73/1.10 }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := skol1
% 0.73/1.10 Y := skol2
% 0.73/1.10 Z := X
% 0.73/1.10 end
% 0.73/1.10 substitution1:
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 subsumption: (342) {G1,W6,D2,L2,V1,M1} R(40,67) { distinct_points( skol1, X
% 0.73/1.10 ), distinct_points( skol2, X ) }.
% 0.73/1.10 parent0: (1144) {G1,W6,D2,L2,V1,M2} { distinct_points( skol1, X ),
% 0.73/1.10 distinct_points( skol2, X ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 0
% 0.73/1.10 1 ==> 1
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 resolution: (1145) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 0.73/1.10 distinct_points( X, Y ) }.
% 0.73/1.10 parent0[0]: (39) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 0.73/1.10 parent1[0]: (40) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 0.73/1.10 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 end
% 0.73/1.10 substitution1:
% 0.73/1.10 X := X
% 0.73/1.10 Y := Y
% 0.73/1.10 Z := X
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 subsumption: (343) {G1,W6,D2,L2,V2,M2} R(40,39) { ! distinct_points( Y, X )
% 0.73/1.10 , distinct_points( X, Y ) }.
% 0.73/1.10 parent0: (1145) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 0.73/1.10 distinct_points( X, Y ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := Y
% 0.73/1.10 Y := X
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 1
% 0.73/1.10 1 ==> 0
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 resolution: (1148) {G2,W6,D2,L2,V1,M2} { distinct_points( X, skol2 ),
% 0.73/1.10 distinct_points( skol1, X ) }.
% 0.73/1.10 parent0[0]: (343) {G1,W6,D2,L2,V2,M2} R(40,39) { ! distinct_points( Y, X )
% 0.73/1.10 , distinct_points( X, Y ) }.
% 0.73/1.10 parent1[1]: (342) {G1,W6,D2,L2,V1,M1} R(40,67) { distinct_points( skol1, X
% 0.73/1.10 ), distinct_points( skol2, X ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 Y := skol2
% 0.73/1.10 end
% 0.73/1.10 substitution1:
% 0.73/1.10 X := X
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 subsumption: (347) {G2,W6,D2,L2,V1,M2} R(342,343) { distinct_points( X,
% 0.73/1.10 skol2 ), distinct_points( skol1, X ) }.
% 0.73/1.10 parent0: (1148) {G2,W6,D2,L2,V1,M2} { distinct_points( X, skol2 ),
% 0.73/1.10 distinct_points( skol1, X ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 0
% 0.73/1.10 1 ==> 1
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 resolution: (1150) {G2,W6,D2,L2,V1,M2} { distinct_points( X, skol1 ),
% 0.73/1.10 distinct_points( X, skol2 ) }.
% 0.73/1.10 parent0[0]: (343) {G1,W6,D2,L2,V2,M2} R(40,39) { ! distinct_points( Y, X )
% 0.73/1.10 , distinct_points( X, Y ) }.
% 0.73/1.10 parent1[1]: (347) {G2,W6,D2,L2,V1,M2} R(342,343) { distinct_points( X,
% 0.73/1.10 skol2 ), distinct_points( skol1, X ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 Y := skol1
% 0.73/1.10 end
% 0.73/1.10 substitution1:
% 0.73/1.10 X := X
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 subsumption: (349) {G3,W6,D2,L2,V1,M1} R(347,343) { distinct_points( X,
% 0.73/1.10 skol1 ), distinct_points( X, skol2 ) }.
% 0.73/1.10 parent0: (1150) {G2,W6,D2,L2,V1,M2} { distinct_points( X, skol1 ),
% 0.73/1.10 distinct_points( X, skol2 ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 0
% 0.73/1.10 1 ==> 1
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 resolution: (1152) {G2,W6,D2,L2,V1,M2} { distinct_points( skol2, X ),
% 0.73/1.10 distinct_points( X, skol1 ) }.
% 0.73/1.10 parent0[0]: (343) {G1,W6,D2,L2,V2,M2} R(40,39) { ! distinct_points( Y, X )
% 0.73/1.10 , distinct_points( X, Y ) }.
% 0.73/1.10 parent1[1]: (349) {G3,W6,D2,L2,V1,M1} R(347,343) { distinct_points( X,
% 0.73/1.10 skol1 ), distinct_points( X, skol2 ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := skol2
% 0.73/1.10 Y := X
% 0.73/1.10 end
% 0.73/1.10 substitution1:
% 0.73/1.10 X := X
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 subsumption: (361) {G4,W6,D2,L2,V1,M2} R(349,343) { distinct_points( skol2
% 0.73/1.10 , X ), distinct_points( X, skol1 ) }.
% 0.73/1.10 parent0: (1152) {G2,W6,D2,L2,V1,M2} { distinct_points( skol2, X ),
% 0.73/1.10 distinct_points( X, skol1 ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 0
% 0.73/1.10 1 ==> 1
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 resolution: (1153) {G1,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y
% 0.73/1.10 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.73/1.10 left_convergent_lines( X, Y ) }.
% 0.73/1.10 parent0[0]: (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.73/1.10 }.
% 0.73/1.10 parent1[2]: (51) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y
% 0.73/1.10 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.73/1.10 left_convergent_lines( X, reverse_line( Y ) ), left_convergent_lines( X,
% 0.73/1.10 Y ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 Y := reverse_line( Y )
% 0.73/1.10 end
% 0.73/1.10 substitution1:
% 0.73/1.10 X := X
% 0.73/1.10 Y := Y
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 resolution: (1155) {G1,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, Y
% 0.73/1.10 ), ! unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.73/1.10 parent0[0]: (53) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.73/1.10 }.
% 0.73/1.10 parent1[2]: (1153) {G1,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y
% 0.73/1.10 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.73/1.10 left_convergent_lines( X, Y ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 Y := Y
% 0.73/1.10 end
% 0.73/1.10 substitution1:
% 0.73/1.10 X := X
% 0.73/1.10 Y := Y
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 subsumption: (454) {G1,W7,D3,L2,V2,M2} S(51);r(53);r(53) { !
% 0.73/1.10 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.73/1.10 unequally_directed_lines( X, Y ) }.
% 0.73/1.10 parent0: (1155) {G1,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, Y ),
% 0.73/1.10 ! unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 Y := Y
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 1
% 0.73/1.10 1 ==> 0
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 resolution: (1157) {G2,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X,
% 0.73/1.10 reverse_line( Y ) ), ! unequally_directed_lines( Y, X ) }.
% 0.73/1.10 parent0[1]: (454) {G1,W7,D3,L2,V2,M2} S(51);r(53);r(53) { !
% 0.73/1.10 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.73/1.10 unequally_directed_lines( X, Y ) }.
% 0.73/1.10 parent1[1]: (108) {G1,W6,D2,L2,V2,M2} R(44,43) { ! unequally_directed_lines
% 0.73/1.10 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 Y := Y
% 0.73/1.10 end
% 0.73/1.10 substitution1:
% 0.73/1.10 X := X
% 0.73/1.10 Y := Y
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 subsumption: (494) {G2,W7,D3,L2,V2,M2} R(454,108) { !
% 0.73/1.10 unequally_directed_lines( Y, X ), ! unequally_directed_lines( X,
% 0.73/1.10 reverse_line( Y ) ) }.
% 0.73/1.10 parent0: (1157) {G2,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X,
% 0.73/1.10 reverse_line( Y ) ), ! unequally_directed_lines( Y, X ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 Y := Y
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 1
% 0.73/1.10 1 ==> 0
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 resolution: (1160) {G3,W10,D3,L3,V3,M3} { ! unequally_directed_lines( X, Y
% 0.73/1.10 ), ! unequally_directed_lines( Z, Y ), unequally_directed_lines(
% 0.73/1.10 reverse_line( X ), Z ) }.
% 0.73/1.10 parent0[1]: (494) {G2,W7,D3,L2,V2,M2} R(454,108) { !
% 0.73/1.10 unequally_directed_lines( Y, X ), ! unequally_directed_lines( X,
% 0.73/1.10 reverse_line( Y ) ) }.
% 0.73/1.10 parent1[0]: (111) {G2,W9,D2,L3,V3,M3} R(108,44) { unequally_directed_lines
% 0.73/1.10 ( Z, X ), ! unequally_directed_lines( Y, Z ), unequally_directed_lines( X
% 0.73/1.10 , Y ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := Y
% 0.73/1.10 Y := X
% 0.73/1.10 end
% 0.73/1.10 substitution1:
% 0.73/1.10 X := reverse_line( X )
% 0.73/1.10 Y := Z
% 0.73/1.10 Z := Y
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 subsumption: (550) {G3,W10,D3,L3,V3,M3} R(494,111) { !
% 0.73/1.10 unequally_directed_lines( Z, Y ), unequally_directed_lines( reverse_line
% 0.73/1.10 ( X ), Z ), ! unequally_directed_lines( X, Y ) }.
% 0.73/1.10 parent0: (1160) {G3,W10,D3,L3,V3,M3} { ! unequally_directed_lines( X, Y )
% 0.73/1.10 , ! unequally_directed_lines( Z, Y ), unequally_directed_lines(
% 0.73/1.10 reverse_line( X ), Z ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 Y := Y
% 0.73/1.10 Z := Z
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 2
% 0.73/1.10 1 ==> 0
% 0.73/1.10 2 ==> 1
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 factor: (1164) {G3,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, Y ),
% 0.73/1.10 unequally_directed_lines( reverse_line( X ), X ) }.
% 0.73/1.10 parent0[0, 2]: (550) {G3,W10,D3,L3,V3,M3} R(494,111) { !
% 0.73/1.10 unequally_directed_lines( Z, Y ), unequally_directed_lines( reverse_line
% 0.73/1.10 ( X ), Z ), ! unequally_directed_lines( X, Y ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 Y := Y
% 0.73/1.10 Z := X
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 subsumption: (553) {G4,W7,D3,L2,V2,M2} F(550) { unequally_directed_lines(
% 0.73/1.10 reverse_line( X ), X ), ! unequally_directed_lines( X, Y ) }.
% 0.73/1.10 parent0: (1164) {G3,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, Y ),
% 0.73/1.10 unequally_directed_lines( reverse_line( X ), X ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 Y := Y
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 1
% 0.73/1.10 1 ==> 0
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 resolution: (1165) {G3,W5,D3,L1,V2,M1} { ! unequally_directed_lines(
% 0.73/1.10 line_connecting( X, X ), Y ) }.
% 0.73/1.10 parent0[0]: (113) {G2,W8,D4,L1,V2,M1} R(108,64) { !
% 0.73/1.10 unequally_directed_lines( reverse_line( line_connecting( X, Y ) ),
% 0.73/1.10 line_connecting( Y, X ) ) }.
% 0.73/1.10 parent1[0]: (553) {G4,W7,D3,L2,V2,M2} F(550) { unequally_directed_lines(
% 0.73/1.10 reverse_line( X ), X ), ! unequally_directed_lines( X, Y ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 Y := X
% 0.73/1.10 end
% 0.73/1.10 substitution1:
% 0.73/1.10 X := line_connecting( X, X )
% 0.73/1.10 Y := Y
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 subsumption: (562) {G5,W5,D3,L1,V2,M1} R(553,113) { !
% 0.73/1.10 unequally_directed_lines( line_connecting( X, X ), Y ) }.
% 0.73/1.10 parent0: (1165) {G3,W5,D3,L1,V2,M1} { ! unequally_directed_lines(
% 0.73/1.10 line_connecting( X, X ), Y ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 Y := Y
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 0
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 resolution: (1166) {G4,W5,D3,L1,V2,M1} { ! unequally_directed_lines( Y,
% 0.73/1.10 line_connecting( X, X ) ) }.
% 0.73/1.10 parent0[0]: (562) {G5,W5,D3,L1,V2,M1} R(553,113) { !
% 0.73/1.10 unequally_directed_lines( line_connecting( X, X ), Y ) }.
% 0.73/1.10 parent1[1]: (120) {G3,W8,D3,L2,V3,M2} R(119,44) { !
% 0.73/1.10 unequally_directed_lines( Y, X ), unequally_directed_lines( X,
% 0.73/1.10 parallel_through_point( Y, Z ) ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 Y := parallel_through_point( Y, Z )
% 0.73/1.10 end
% 0.73/1.10 substitution1:
% 0.73/1.10 X := line_connecting( X, X )
% 0.73/1.10 Y := Y
% 0.73/1.10 Z := Z
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 subsumption: (584) {G6,W5,D3,L1,V2,M1} R(562,120) { !
% 0.73/1.10 unequally_directed_lines( X, line_connecting( Y, Y ) ) }.
% 0.73/1.10 parent0: (1166) {G4,W5,D3,L1,V2,M1} { ! unequally_directed_lines( Y,
% 0.73/1.10 line_connecting( X, X ) ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := Y
% 0.73/1.10 Y := X
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 0
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 resolution: (1167) {G3,W8,D3,L2,V3,M2} { ! unequally_directed_lines( Z, X
% 0.73/1.10 ), unequally_directed_lines( line_connecting( Y, Y ), Z ) }.
% 0.73/1.10 parent0[0]: (584) {G6,W5,D3,L1,V2,M1} R(562,120) { !
% 0.73/1.10 unequally_directed_lines( X, line_connecting( Y, Y ) ) }.
% 0.73/1.10 parent1[0]: (111) {G2,W9,D2,L3,V3,M3} R(108,44) { unequally_directed_lines
% 0.73/1.10 ( Z, X ), ! unequally_directed_lines( Y, Z ), unequally_directed_lines( X
% 0.73/1.12 , Y ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 X := X
% 0.73/1.12 Y := Y
% 0.73/1.12 end
% 0.73/1.12 substitution1:
% 0.73/1.12 X := line_connecting( Y, Y )
% 0.73/1.12 Y := Z
% 0.73/1.12 Z := X
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 resolution: (1169) {G4,W3,D2,L1,V2,M1} { ! unequally_directed_lines( Y, Z
% 0.73/1.12 ) }.
% 0.73/1.12 parent0[0]: (562) {G5,W5,D3,L1,V2,M1} R(553,113) { !
% 0.73/1.12 unequally_directed_lines( line_connecting( X, X ), Y ) }.
% 0.73/1.12 parent1[1]: (1167) {G3,W8,D3,L2,V3,M2} { ! unequally_directed_lines( Z, X
% 0.73/1.12 ), unequally_directed_lines( line_connecting( Y, Y ), Z ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 X := X
% 0.73/1.12 Y := Y
% 0.73/1.12 end
% 0.73/1.12 substitution1:
% 0.73/1.12 X := Z
% 0.73/1.12 Y := X
% 0.73/1.12 Z := Y
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 subsumption: (585) {G7,W3,D2,L1,V2,M1} R(584,111);r(562) { !
% 0.73/1.12 unequally_directed_lines( X, Y ) }.
% 0.73/1.12 parent0: (1169) {G4,W3,D2,L1,V2,M1} { ! unequally_directed_lines( Y, Z )
% 0.73/1.12 }.
% 0.73/1.12 substitution0:
% 0.73/1.12 X := Z
% 0.73/1.12 Y := X
% 0.73/1.12 Z := Y
% 0.73/1.12 end
% 0.73/1.12 permutation0:
% 0.73/1.12 0 ==> 0
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 *** allocated 22500 integers for termspace/termends
% 0.73/1.12 resolution: (10841) {G1,W28,D3,L8,V4,M8} { ! distinct_points( Z, X ),
% 0.73/1.12 left_apart_point( Z, T ), left_apart_point( X, T ), left_apart_point( Z,
% 0.73/1.12 reverse_line( Y ) ), left_apart_point( X, reverse_line( Y ) ),
% 0.73/1.12 left_apart_point( Z, reverse_line( T ) ), left_apart_point( X,
% 0.73/1.12 reverse_line( T ) ), ! distinct_lines( Y, T ) }.
% 0.73/1.12 parent0[0]: (52) {G0,W3,D2,L1,V2,M1} I { ! left_apart_point( X, Y ) }.
% 0.73/1.12 parent1[1]: (66) {G1,W31,D3,L9,V4,M1} I;r(52) { ! distinct_points( X, Y ),
% 0.73/1.12 left_apart_point( Y, Z ), left_apart_point( X, T ), left_apart_point( Y,
% 0.73/1.12 T ), left_apart_point( X, reverse_line( Z ) ), left_apart_point( Y,
% 0.73/1.12 reverse_line( Z ) ), left_apart_point( X, reverse_line( T ) ),
% 0.73/1.12 left_apart_point( Y, reverse_line( T ) ), ! distinct_lines( Z, T ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 X := X
% 0.73/1.12 Y := Y
% 0.73/1.12 end
% 0.73/1.12 substitution1:
% 0.73/1.12 X := Z
% 0.73/1.12 Y := X
% 0.73/1.12 Z := Y
% 0.73/1.12 T := T
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 resolution: (11464) {G1,W25,D3,L7,V4,M7} { ! distinct_points( X, Z ),
% 0.73/1.12 left_apart_point( Z, Y ), left_apart_point( X, reverse_line( T ) ),
% 0.73/1.12 left_apart_point( Z, reverse_line( T ) ), left_apart_point( X,
% 0.73/1.12 reverse_line( Y ) ), left_apart_point( Z, reverse_line( Y ) ), !
% 0.73/1.12 distinct_lines( T, Y ) }.
% 0.73/1.12 parent0[0]: (52) {G0,W3,D2,L1,V2,M1} I { ! left_apart_point( X, Y ) }.
% 0.73/1.12 parent1[1]: (10841) {G1,W28,D3,L8,V4,M8} { ! distinct_points( Z, X ),
% 0.73/1.12 left_apart_point( Z, T ), left_apart_point( X, T ), left_apart_point( Z,
% 0.73/1.12 reverse_line( Y ) ), left_apart_point( X, reverse_line( Y ) ),
% 0.73/1.12 left_apart_point( Z, reverse_line( T ) ), left_apart_point( X,
% 0.73/1.12 reverse_line( T ) ), ! distinct_lines( Y, T ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 X := X
% 0.73/1.12 Y := Y
% 0.73/1.12 end
% 0.73/1.12 substitution1:
% 0.73/1.12 X := Z
% 0.73/1.12 Y := T
% 0.73/1.12 Z := X
% 0.73/1.12 T := Y
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 resolution: (11535) {G1,W22,D3,L6,V4,M6} { ! distinct_points( Z, X ),
% 0.73/1.12 left_apart_point( Z, reverse_line( T ) ), left_apart_point( X,
% 0.73/1.12 reverse_line( T ) ), left_apart_point( Z, reverse_line( Y ) ),
% 0.73/1.12 left_apart_point( X, reverse_line( Y ) ), ! distinct_lines( T, Y ) }.
% 0.73/1.12 parent0[0]: (52) {G0,W3,D2,L1,V2,M1} I { ! left_apart_point( X, Y ) }.
% 0.73/1.12 parent1[1]: (11464) {G1,W25,D3,L7,V4,M7} { ! distinct_points( X, Z ),
% 0.73/1.12 left_apart_point( Z, Y ), left_apart_point( X, reverse_line( T ) ),
% 0.73/1.12 left_apart_point( Z, reverse_line( T ) ), left_apart_point( X,
% 0.73/1.12 reverse_line( Y ) ), left_apart_point( Z, reverse_line( Y ) ), !
% 0.73/1.12 distinct_lines( T, Y ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 X := X
% 0.73/1.12 Y := Y
% 0.73/1.12 end
% 0.73/1.12 substitution1:
% 0.73/1.12 X := Z
% 0.73/1.12 Y := Y
% 0.73/1.12 Z := X
% 0.73/1.12 T := T
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 resolution: (11575) {G1,W18,D3,L5,V4,M5} { ! distinct_points( X, Z ),
% 0.73/1.12 left_apart_point( Z, reverse_line( Y ) ), left_apart_point( X,
% 0.73/1.12 reverse_line( T ) ), left_apart_point( Z, reverse_line( T ) ), !
% 0.73/1.12 distinct_lines( Y, T ) }.
% 0.73/1.12 parent0[0]: (52) {G0,W3,D2,L1,V2,M1} I { ! left_apart_point( X, Y ) }.
% 0.73/1.12 parent1[1]: (11535) {G1,W22,D3,L6,V4,M6} { ! distinct_points( Z, X ),
% 0.73/1.12 left_apart_point( Z, reverse_line( T ) ), left_apart_point( X,
% 0.73/1.12 reverse_line( T ) ), left_apart_point( Z, reverse_line( Y ) ),
% 0.73/1.12 left_apart_point( X, reverse_line( Y ) ), ! distinct_lines( T, Y ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 X := X
% 0.73/1.12 Y := reverse_line( Y )
% 0.73/1.12 end
% 0.73/1.12 substitution1:
% 0.73/1.12 X := Z
% 0.73/1.12 Y := T
% 0.73/1.12 Z := X
% 0.73/1.12 T := Y
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 resolution: (11582) {G1,W14,D3,L4,V4,M4} { ! distinct_points( Z, X ),
% 0.73/1.12 left_apart_point( Z, reverse_line( T ) ), left_apart_point( X,
% 0.73/1.12 reverse_line( T ) ), ! distinct_lines( Y, T ) }.
% 0.73/1.12 parent0[0]: (52) {G0,W3,D2,L1,V2,M1} I { ! left_apart_point( X, Y ) }.
% 0.73/1.12 parent1[1]: (11575) {G1,W18,D3,L5,V4,M5} { ! distinct_points( X, Z ),
% 0.73/1.12 left_apart_point( Z, reverse_line( Y ) ), left_apart_point( X,
% 0.73/1.12 reverse_line( T ) ), left_apart_point( Z, reverse_line( T ) ), !
% 0.73/1.12 distinct_lines( Y, T ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 X := X
% 0.73/1.12 Y := reverse_line( Y )
% 0.73/1.12 end
% 0.73/1.12 substitution1:
% 0.73/1.12 X := Z
% 0.73/1.12 Y := Y
% 0.73/1.12 Z := X
% 0.73/1.12 T := T
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 resolution: (11589) {G1,W10,D3,L3,V4,M3} { ! distinct_points( X, Z ),
% 0.73/1.12 left_apart_point( Z, reverse_line( Y ) ), ! distinct_lines( T, Y ) }.
% 0.73/1.12 parent0[0]: (52) {G0,W3,D2,L1,V2,M1} I { ! left_apart_point( X, Y ) }.
% 0.73/1.12 parent1[1]: (11582) {G1,W14,D3,L4,V4,M4} { ! distinct_points( Z, X ),
% 0.73/1.12 left_apart_point( Z, reverse_line( T ) ), left_apart_point( X,
% 0.73/1.12 reverse_line( T ) ), ! distinct_lines( Y, T ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 X := X
% 0.73/1.12 Y := reverse_line( Y )
% 0.73/1.12 end
% 0.73/1.12 substitution1:
% 0.73/1.12 X := Z
% 0.73/1.12 Y := T
% 0.73/1.12 Z := X
% 0.73/1.12 T := Y
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 resolution: (11591) {G1,W6,D2,L2,V4,M2} { ! distinct_points( Z, X ), !
% 0.73/1.12 distinct_lines( T, Y ) }.
% 0.73/1.12 parent0[0]: (52) {G0,W3,D2,L1,V2,M1} I { ! left_apart_point( X, Y ) }.
% 0.73/1.12 parent1[1]: (11589) {G1,W10,D3,L3,V4,M3} { ! distinct_points( X, Z ),
% 0.73/1.12 left_apart_point( Z, reverse_line( Y ) ), ! distinct_lines( T, Y ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 X := X
% 0.73/1.12 Y := reverse_line( Y )
% 0.73/1.12 end
% 0.73/1.12 substitution1:
% 0.73/1.12 X := Z
% 0.73/1.12 Y := Y
% 0.73/1.12 Z := X
% 0.73/1.12 T := T
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 subsumption: (588) {G2,W6,D2,L2,V4,M1} S(66);r(52);r(52);r(52);r(52);r(52);
% 0.73/1.12 r(52);r(52) { ! distinct_points( X, Y ), ! distinct_lines( Z, T ) }.
% 0.73/1.12 parent0: (11591) {G1,W6,D2,L2,V4,M2} { ! distinct_points( Z, X ), !
% 0.73/1.12 distinct_lines( T, Y ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 X := Y
% 0.73/1.12 Y := T
% 0.73/1.12 Z := X
% 0.73/1.12 T := Z
% 0.73/1.12 end
% 0.73/1.12 permutation0:
% 0.73/1.12 0 ==> 0
% 0.73/1.12 1 ==> 1
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 resolution: (11592) {G1,W7,D3,L1,V0,M1} { distinct_lines( line_connecting
% 0.73/1.12 ( skol1, skol2 ), line_connecting( skol2, skol1 ) ) }.
% 0.73/1.12 parent0[0]: (585) {G7,W3,D2,L1,V2,M1} R(584,111);r(562) { !
% 0.73/1.12 unequally_directed_lines( X, Y ) }.
% 0.73/1.12 parent1[0]: (68) {G0,W14,D3,L2,V0,M1} I { unequally_directed_lines(
% 0.73/1.12 line_connecting( skol2, skol1 ), line_connecting( skol1, skol2 ) ),
% 0.73/1.12 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol2,
% 0.73/1.12 skol1 ) ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 X := line_connecting( skol2, skol1 )
% 0.73/1.12 Y := line_connecting( skol1, skol2 )
% 0.73/1.12 end
% 0.73/1.12 substitution1:
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 subsumption: (589) {G8,W7,D3,L1,V0,M1} S(68);r(585) { distinct_lines(
% 0.73/1.12 line_connecting( skol1, skol2 ), line_connecting( skol2, skol1 ) ) }.
% 0.73/1.12 parent0: (11592) {G1,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 0.73/1.12 skol1, skol2 ), line_connecting( skol2, skol1 ) ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 end
% 0.73/1.12 permutation0:
% 0.73/1.12 0 ==> 0
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 resolution: (11593) {G3,W3,D2,L1,V2,M1} { ! distinct_points( X, Y ) }.
% 0.73/1.12 parent0[1]: (588) {G2,W6,D2,L2,V4,M1} S(66);r(52);r(52);r(52);r(52);r(52);r
% 0.73/1.12 (52);r(52) { ! distinct_points( X, Y ), ! distinct_lines( Z, T ) }.
% 0.73/1.12 parent1[0]: (589) {G8,W7,D3,L1,V0,M1} S(68);r(585) { distinct_lines(
% 0.73/1.12 line_connecting( skol1, skol2 ), line_connecting( skol2, skol1 ) ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 X := X
% 0.73/1.12 Y := Y
% 0.73/1.12 Z := line_connecting( skol1, skol2 )
% 0.73/1.12 T := line_connecting( skol2, skol1 )
% 0.73/1.12 end
% 0.73/1.12 substitution1:
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 subsumption: (590) {G9,W3,D2,L1,V2,M1} R(589,588) { ! distinct_points( X, Y
% 0.73/1.12 ) }.
% 0.73/1.12 parent0: (11593) {G3,W3,D2,L1,V2,M1} { ! distinct_points( X, Y ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 X := X
% 0.73/1.12 Y := Y
% 0.73/1.12 end
% 0.73/1.12 permutation0:
% 0.73/1.12 0 ==> 0
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 resolution: (11594) {G5,W3,D2,L1,V1,M1} { distinct_points( X, skol1 ) }.
% 0.73/1.12 parent0[0]: (590) {G9,W3,D2,L1,V2,M1} R(589,588) { ! distinct_points( X, Y
% 0.73/1.12 ) }.
% 0.73/1.12 parent1[0]: (361) {G4,W6,D2,L2,V1,M2} R(349,343) { distinct_points( skol2,
% 0.73/1.12 X ), distinct_points( X, skol1 ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 X := skol2
% 0.73/1.12 Y := X
% 0.73/1.12 end
% 0.73/1.12 substitution1:
% 0.73/1.12 X := X
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 resolution: (11596) {G6,W0,D0,L0,V0,M0} { }.
% 0.73/1.12 parent0[0]: (590) {G9,W3,D2,L1,V2,M1} R(589,588) { ! distinct_points( X, Y
% 0.73/1.12 ) }.
% 0.73/1.12 parent1[0]: (11594) {G5,W3,D2,L1,V1,M1} { distinct_points( X, skol1 ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 X := X
% 0.73/1.12 Y := skol1
% 0.73/1.12 end
% 0.73/1.12 substitution1:
% 0.73/1.12 X := X
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 subsumption: (598) {G10,W0,D0,L0,V0,M0} R(590,361);r(590) { }.
% 0.73/1.12 parent0: (11596) {G6,W0,D0,L0,V0,M0} { }.
% 0.73/1.12 substitution0:
% 0.73/1.12 end
% 0.73/1.12 permutation0:
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 Proof check complete!
% 0.73/1.12
% 0.73/1.12 Memory use:
% 0.73/1.12
% 0.73/1.12 space for terms: 8364
% 0.73/1.12 space for clauses: 28809
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 clauses generated: 1773
% 0.73/1.12 clauses kept: 599
% 0.73/1.12 clauses selected: 137
% 0.73/1.12 clauses deleted: 41
% 0.73/1.12 clauses inuse deleted: 0
% 0.73/1.12
% 0.73/1.12 subsentry: 19204
% 0.73/1.12 literals s-matched: 10803
% 0.73/1.12 literals matched: 9852
% 0.73/1.12 full subsumption: 3759
% 0.73/1.12
% 0.73/1.12 checksum: -1589133263
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Bliksem ended
%------------------------------------------------------------------------------