%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO263+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 02:53:24 EDT 2022
% Result : Theorem 0.69s 1.10s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO263+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jun 18 00:42:02 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.69/1.10 *** allocated 10000 integers for termspace/termends
% 0.69/1.10 *** allocated 10000 integers for clauses
% 0.69/1.10 *** allocated 10000 integers for justifications
% 0.69/1.10 Bliksem 1.12
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Automatic Strategy Selection
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Clauses:
% 0.69/1.10
% 0.69/1.10 { ! unequally_directed_opposite_lines( X, Y ), unequally_directed_lines( X
% 0.69/1.10 , reverse_line( Y ) ) }.
% 0.69/1.10 { ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.69/1.10 unequally_directed_opposite_lines( X, Y ) }.
% 0.69/1.10 { ! right_apart_point( X, Y ), left_apart_point( X, reverse_line( Y ) ) }.
% 0.69/1.10 { ! left_apart_point( X, reverse_line( Y ) ), right_apart_point( X, Y ) }.
% 0.69/1.10 { ! right_convergent_lines( X, Y ), left_convergent_lines( X, reverse_line
% 0.69/1.10 ( Y ) ) }.
% 0.69/1.10 { ! left_convergent_lines( X, reverse_line( Y ) ), right_convergent_lines(
% 0.69/1.10 X, Y ) }.
% 0.69/1.10 { ! equally_directed_lines( X, Y ), ! unequally_directed_lines( X, Y ) }.
% 0.69/1.10 { unequally_directed_lines( X, Y ), equally_directed_lines( X, Y ) }.
% 0.69/1.10 { ! equally_directed_opposite_lines( X, Y ), !
% 0.69/1.10 unequally_directed_opposite_lines( X, Y ) }.
% 0.69/1.10 { unequally_directed_opposite_lines( X, Y ),
% 0.69/1.10 equally_directed_opposite_lines( X, Y ) }.
% 0.69/1.10 { ! apart_point_and_line( X, Y ), left_apart_point( X, Y ),
% 0.69/1.10 right_apart_point( X, Y ) }.
% 0.69/1.10 { ! left_apart_point( X, Y ), apart_point_and_line( X, Y ) }.
% 0.69/1.10 { ! right_apart_point( X, Y ), apart_point_and_line( X, Y ) }.
% 0.69/1.10 { ! convergent_lines( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.69/1.10 { ! convergent_lines( X, Y ), unequally_directed_opposite_lines( X, Y ) }.
% 0.69/1.10 { ! unequally_directed_lines( X, Y ), ! unequally_directed_opposite_lines(
% 0.69/1.10 X, Y ), convergent_lines( X, Y ) }.
% 0.69/1.10 { ! divides_points( Z, X, Y ), alpha1( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.69/1.10 { ! alpha1( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.69/1.10 { ! alpha4( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.69/1.10 { ! alpha4( X, Y, Z ), right_apart_point( X, Z ) }.
% 0.69/1.10 { ! alpha4( X, Y, Z ), left_apart_point( Y, Z ) }.
% 0.69/1.10 { ! right_apart_point( X, Z ), ! left_apart_point( Y, Z ), alpha4( X, Y, Z
% 0.69/1.10 ) }.
% 0.69/1.10 { ! alpha1( X, Y, Z ), left_apart_point( X, Z ) }.
% 0.69/1.10 { ! alpha1( X, Y, Z ), right_apart_point( Y, Z ) }.
% 0.69/1.10 { ! left_apart_point( X, Z ), ! right_apart_point( Y, Z ), alpha1( X, Y, Z
% 0.69/1.10 ) }.
% 0.69/1.10 { ! before_on_line( X, Y, Z ), distinct_points( Y, Z ) }.
% 0.69/1.10 { ! before_on_line( X, Y, Z ), alpha2( X, Y, Z ) }.
% 0.69/1.10 { ! distinct_points( Y, Z ), ! alpha2( X, Y, Z ), before_on_line( X, Y, Z )
% 0.69/1.10 }.
% 0.69/1.10 { ! alpha2( X, Y, Z ), incident_point_and_line( Y, X ) }.
% 0.69/1.10 { ! alpha2( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.69/1.10 { ! incident_point_and_line( Y, X ), ! alpha5( X, Y, Z ), alpha2( X, Y, Z )
% 0.69/1.10 }.
% 0.69/1.10 { ! alpha5( X, Y, Z ), incident_point_and_line( Z, X ) }.
% 0.69/1.10 { ! alpha5( X, Y, Z ), equally_directed_lines( X, line_connecting( Y, Z ) )
% 0.69/1.10 }.
% 0.69/1.10 { ! incident_point_and_line( Z, X ), ! equally_directed_lines( X,
% 0.69/1.10 line_connecting( Y, Z ) ), alpha5( X, Y, Z ) }.
% 0.69/1.10 { ! between_on_line( X, Y, Z, T ), alpha3( X, Y, Z, T ), alpha6( X, Y, Z, T
% 0.69/1.10 ) }.
% 0.69/1.10 { ! alpha3( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.69/1.10 { ! alpha6( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.69/1.10 { ! alpha6( X, Y, Z, T ), before_on_line( X, T, Z ) }.
% 0.69/1.10 { ! alpha6( X, Y, Z, T ), before_on_line( X, Z, Y ) }.
% 0.69/1.10 { ! before_on_line( X, T, Z ), ! before_on_line( X, Z, Y ), alpha6( X, Y, Z
% 0.69/1.10 , T ) }.
% 0.69/1.10 { ! alpha3( X, Y, Z, T ), before_on_line( X, Y, Z ) }.
% 0.69/1.10 { ! alpha3( X, Y, Z, T ), before_on_line( X, Z, T ) }.
% 0.69/1.10 { ! before_on_line( X, Y, Z ), ! before_on_line( X, Z, T ), alpha3( X, Y, Z
% 0.69/1.10 , T ) }.
% 0.69/1.10 { ! distinct_points( X, X ) }.
% 0.69/1.10 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.69/1.10 ) }.
% 0.69/1.10 { ! distinct_lines( X, X ) }.
% 0.69/1.10 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.69/1.10 }.
% 0.69/1.10 { equally_directed_lines( X, X ) }.
% 0.69/1.10 { ! unequally_directed_lines( X, Y ), unequally_directed_lines( X, Z ),
% 0.69/1.10 unequally_directed_lines( Y, Z ) }.
% 0.69/1.10 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.69/1.10 reverse_line( Y ) ), alpha7( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.69/1.10 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.69/1.10 reverse_line( Y ) ), alpha7( X, Z ), unequally_directed_lines( Y,
% 0.69/1.10 reverse_line( Z ) ) }.
% 0.69/1.10 { ! alpha7( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.69/1.10 { ! alpha7( X, Y ), unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.69/1.10 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.69/1.10 reverse_line( Y ) ), alpha7( X, Y ) }.
% 0.69/1.10 { unequally_directed_lines( X, Y ), unequally_directed_lines( X,
% 0.69/1.10 reverse_line( Y ) ) }.
% 0.69/1.10 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.69/1.10 reverse_line( Y ) ), left_convergent_lines( X, Y ), left_convergent_lines
% 0.69/1.10 ( X, reverse_line( Y ) ) }.
% 0.69/1.10 { ! left_apart_point( X, Y ) }.
% 0.69/1.10 { ! left_apart_point( X, reverse_line( Y ) ) }.
% 0.69/1.10 { ! left_convergent_lines( X, Y ) }.
% 0.69/1.10 { ! left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.69/1.10 { ! point( X ), ! point( Y ), ! distinct_points( X, Y ), line(
% 0.69/1.10 line_connecting( X, Y ) ) }.
% 0.69/1.10 { ! line( X ), ! line( Y ), ! unequally_directed_lines( X, Y ), !
% 0.69/1.10 unequally_directed_lines( X, reverse_line( Y ) ), point(
% 0.69/1.10 intersection_point( X, Y ) ) }.
% 0.69/1.10 { ! point( Y ), ! line( X ), line( parallel_through_point( X, Y ) ) }.
% 0.69/1.10 { ! line( X ), line( reverse_line( X ) ) }.
% 0.69/1.10 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 0.69/1.10 , Y ) ) }.
% 0.69/1.10 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 0.69/1.10 , Y ) ) }.
% 0.69/1.10 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.69/1.10 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 0.69/1.10 X ) }.
% 0.69/1.10 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.69/1.10 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 0.69/1.10 Y ) }.
% 0.69/1.10 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 0.69/1.10 { ! distinct_lines( X, reverse_line( X ) ) }.
% 0.69/1.10 { ! distinct_points( X, Y ), equally_directed_lines( line_connecting( X, Y
% 0.69/1.10 ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.69/1.10 { equally_directed_lines( parallel_through_point( Y, X ), Y ) }.
% 0.69/1.10 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), left_apart_point( X
% 0.69/1.10 , Z ), left_apart_point( Y, Z ), left_apart_point( X, T ),
% 0.69/1.10 left_apart_point( Y, T ), left_apart_point( X, reverse_line( Z ) ),
% 0.69/1.10 left_apart_point( Y, reverse_line( Z ) ), left_apart_point( X,
% 0.69/1.10 reverse_line( T ) ), left_apart_point( Y, reverse_line( T ) ) }.
% 0.69/1.10 { ! distinct_points( X, Y ), ! left_apart_point( X, Z ), left_apart_point(
% 0.69/1.10 Y, Z ), left_convergent_lines( line_connecting( X, Y ), Z ) }.
% 0.69/1.10 { ! left_apart_point( X, Y ), distinct_points( X, Z ), left_apart_point( Z
% 0.69/1.10 , Y ) }.
% 0.69/1.10 { ! left_apart_point( X, Y ), ! unequally_directed_lines( Y, Z ),
% 0.69/1.10 distinct_lines( Y, Z ), left_apart_point( X, reverse_line( Z ) ) }.
% 0.69/1.10 { ! left_convergent_lines( X, Y ), unequally_directed_lines( Y, Z ),
% 0.69/1.10 left_convergent_lines( X, Z ) }.
% 0.69/1.10 { between_on_line( skol6, skol3, skol4, skol5 ) }.
% 0.69/1.10 { convergent_lines( skol6, skol1 ) }.
% 0.69/1.10 { convergent_lines( skol6, skol2 ) }.
% 0.69/1.10 { convergent_lines( skol1, skol2 ) }.
% 0.69/1.10 { ! between_on_line( skol1, intersection_point( skol1,
% 0.69/1.10 parallel_through_point( skol2, skol3 ) ), intersection_point( skol1,
% 0.69/1.10 parallel_through_point( skol2, skol4 ) ), intersection_point( skol1,
% 0.69/1.10 parallel_through_point( skol2, skol5 ) ) ) }.
% 0.69/1.10
% 0.69/1.10 percentage equality = 0.000000, percentage horn = 0.828947
% 0.69/1.10 This a non-horn, non-equality problem
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Options Used:
% 0.69/1.10
% 0.69/1.10 useres = 1
% 0.69/1.10 useparamod = 0
% 0.69/1.10 useeqrefl = 0
% 0.69/1.10 useeqfact = 0
% 0.69/1.10 usefactor = 1
% 0.69/1.10 usesimpsplitting = 0
% 0.69/1.10 usesimpdemod = 0
% 0.69/1.10 usesimpres = 3
% 0.69/1.10
% 0.69/1.10 resimpinuse = 1000
% 0.69/1.10 resimpclauses = 20000
% 0.69/1.10 substype = standard
% 0.69/1.10 backwardsubs = 1
% 0.69/1.10 selectoldest = 5
% 0.69/1.10
% 0.69/1.10 litorderings [0] = split
% 0.69/1.10 litorderings [1] = liftord
% 0.69/1.10
% 0.69/1.10 termordering = none
% 0.69/1.10
% 0.69/1.10 litapriori = 1
% 0.69/1.10 termapriori = 0
% 0.69/1.10 litaposteriori = 0
% 0.69/1.10 termaposteriori = 0
% 0.69/1.10 demodaposteriori = 0
% 0.69/1.10 ordereqreflfact = 0
% 0.69/1.10
% 0.69/1.10 litselect = none
% 0.69/1.10
% 0.69/1.10 maxweight = 15
% 0.69/1.10 maxdepth = 30000
% 0.69/1.10 maxlength = 115
% 0.69/1.10 maxnrvars = 195
% 0.69/1.10 excuselevel = 1
% 0.69/1.10 increasemaxweight = 1
% 0.69/1.10
% 0.69/1.10 maxselected = 10000000
% 0.69/1.10 maxnrclauses = 10000000
% 0.69/1.10
% 0.69/1.10 showgenerated = 0
% 0.69/1.10 showkept = 0
% 0.69/1.10 showselected = 0
% 0.69/1.10 showdeleted = 0
% 0.69/1.10 showresimp = 1
% 0.69/1.10 showstatus = 2000
% 0.69/1.10
% 0.69/1.10 prologoutput = 0
% 0.69/1.10 nrgoals = 5000000
% 0.69/1.10 totalproof = 1
% 0.69/1.10
% 0.69/1.10 Symbols occurring in the translation:
% 0.69/1.10
% 0.69/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.69/1.10 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 0.69/1.10 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.69/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.69/1.10 unequally_directed_opposite_lines [37, 2] (w:1, o:52, a:1, s:1, b:0)
% 0.69/1.10 ,
% 0.69/1.10 reverse_line [38, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.69/1.10 unequally_directed_lines [39, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.69/1.10 right_apart_point [40, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.69/1.10 left_apart_point [41, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.69/1.10 right_convergent_lines [42, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.69/1.10 left_convergent_lines [43, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.69/1.10 equally_directed_lines [44, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.69/1.10 equally_directed_opposite_lines [45, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.69/1.10 apart_point_and_line [48, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.69/1.10 convergent_lines [50, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.69/1.10 divides_points [52, 3] (w:1, o:69, a:1, s:1, b:0),
% 0.69/1.10 before_on_line [53, 3] (w:1, o:74, a:1, s:1, b:0),
% 0.69/1.10 distinct_points [54, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.69/1.10 incident_point_and_line [55, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.69/1.10 line_connecting [56, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.69/1.10 between_on_line [58, 4] (w:1, o:77, a:1, s:1, b:0),
% 0.69/1.10 distinct_lines [59, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.69/1.10 point [61, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.69/1.10 line [62, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.69/1.10 intersection_point [63, 2] (w:1, o:66, a:1, s:1, b:0),
% 0.69/1.10 parallel_through_point [64, 2] (w:1, o:67, a:1, s:1, b:0),
% 0.69/1.10 alpha1 [65, 3] (w:1, o:70, a:1, s:1, b:0),
% 0.69/1.10 alpha2 [66, 3] (w:1, o:71, a:1, s:1, b:0),
% 0.69/1.10 alpha3 [67, 4] (w:1, o:75, a:1, s:1, b:0),
% 0.69/1.10 alpha4 [68, 3] (w:1, o:72, a:1, s:1, b:0),
% 0.69/1.10 alpha5 [69, 3] (w:1, o:73, a:1, s:1, b:0),
% 0.69/1.10 alpha6 [70, 4] (w:1, o:76, a:1, s:1, b:0),
% 0.69/1.10 alpha7 [71, 2] (w:1, o:68, a:1, s:1, b:0),
% 0.69/1.10 skol1 [72, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.69/1.10 skol2 [73, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.69/1.10 skol3 [74, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.69/1.10 skol4 [75, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.69/1.10 skol5 [76, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.69/1.10 skol6 [77, 0] (w:1, o:19, a:1, s:1, b:0).
% 0.69/1.10
% 0.69/1.10
% 0.69/1.10 Starting Search:
% 0.69/1.10
% 0.69/1.10 *** allocated 15000 integers for clauses
% 0.69/1.10 *** allocated 22500 integers for clauses
% 0.69/1.10
% 0.69/1.10 Bliksems!, er is een bewijs:
% 0.69/1.10 % SZS status Theorem
% 0.69/1.10 % SZS output start Refutation
% 0.69/1.10
% 0.69/1.10 (6) {G0,W6,D2,L2,V2,M1} I { ! unequally_directed_lines( X, Y ), !
% 0.69/1.10 equally_directed_lines( X, Y ) }.
% 0.69/1.10 (13) {G0,W6,D2,L2,V2,M1} I { unequally_directed_lines( X, Y ), !
% 0.69/1.10 convergent_lines( X, Y ) }.
% 0.69/1.10 (47) {G0,W3,D2,L1,V1,M1} I { equally_directed_lines( X, X ) }.
% 0.69/1.10 (48) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.69/1.10 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.69/1.10 (55) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y ), !
% 0.69/1.10 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 0.69/1.10 X, reverse_line( Y ) ), left_convergent_lines( X, Y ) }.
% 0.69/1.10 (57) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y ) }.
% 0.69/1.10 (72) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol6, skol1 ) }.
% 0.69/1.10 (73) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol6, skol2 ) }.
% 0.69/1.10 (74) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 ) }.
% 0.69/1.10 (89) {G1,W3,D2,L1,V0,M1} R(13,72) { unequally_directed_lines( skol6, skol1
% 0.69/1.10 ) }.
% 0.69/1.10 (90) {G1,W3,D2,L1,V0,M1} R(13,73) { unequally_directed_lines( skol6, skol2
% 0.69/1.10 ) }.
% 0.69/1.10 (91) {G1,W3,D2,L1,V0,M1} R(13,74) { unequally_directed_lines( skol1, skol2
% 0.69/1.10 ) }.
% 0.69/1.10 (93) {G1,W3,D2,L1,V1,M1} R(6,47) { ! unequally_directed_lines( X, X ) }.
% 0.69/1.10 (140) {G2,W6,D2,L2,V2,M2} R(48,93) { ! unequally_directed_lines( Y, X ),
% 0.69/1.10 unequally_directed_lines( X, Y ) }.
% 0.69/1.10 (141) {G2,W6,D2,L2,V1,M1} R(48,91) { unequally_directed_lines( skol1, X ),
% 0.69/1.10 unequally_directed_lines( skol2, X ) }.
% 0.69/1.10 (157) {G3,W3,D2,L1,V0,M1} R(140,90) { unequally_directed_lines( skol2,
% 0.69/1.10 skol6 ) }.
% 0.69/1.10 (158) {G3,W3,D2,L1,V0,M1} R(140,89) { unequally_directed_lines( skol1,
% 0.69/1.10 skol6 ) }.
% 0.69/1.10 (170) {G3,W6,D2,L2,V1,M2} R(141,140) { unequally_directed_lines( X, skol2 )
% 0.69/1.10 , unequally_directed_lines( skol1, X ) }.
% 0.69/1.10 (263) {G1,W7,D3,L2,V2,M2} S(55);r(57);r(57) { ! unequally_directed_lines( X
% 0.69/1.11 , reverse_line( Y ) ), ! unequally_directed_lines( X, Y ) }.
% 0.69/1.11 (310) {G4,W4,D3,L1,V0,M1} R(263,158) { ! unequally_directed_lines( skol1,
% 0.69/1.11 reverse_line( skol6 ) ) }.
% 0.69/1.11 (311) {G4,W4,D3,L1,V0,M1} R(263,157) { ! unequally_directed_lines( skol2,
% 0.69/1.11 reverse_line( skol6 ) ) }.
% 0.69/1.11 (332) {G5,W4,D3,L1,V0,M1} R(310,170) { unequally_directed_lines(
% 0.69/1.11 reverse_line( skol6 ), skol2 ) }.
% 0.69/1.11 (341) {G6,W0,D0,L0,V0,M0} R(332,140);r(311) { }.
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 % SZS output end Refutation
% 0.69/1.11 found a proof!
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 Unprocessed initial clauses:
% 0.69/1.11
% 0.69/1.11 (343) {G0,W7,D3,L2,V2,M2} { ! unequally_directed_opposite_lines( X, Y ),
% 0.69/1.11 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.69/1.11 (344) {G0,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, reverse_line( Y
% 0.69/1.11 ) ), unequally_directed_opposite_lines( X, Y ) }.
% 0.69/1.11 (345) {G0,W7,D3,L2,V2,M2} { ! right_apart_point( X, Y ), left_apart_point
% 0.69/1.11 ( X, reverse_line( Y ) ) }.
% 0.69/1.11 (346) {G0,W7,D3,L2,V2,M2} { ! left_apart_point( X, reverse_line( Y ) ),
% 0.69/1.11 right_apart_point( X, Y ) }.
% 0.69/1.11 (347) {G0,W7,D3,L2,V2,M2} { ! right_convergent_lines( X, Y ),
% 0.69/1.11 left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.69/1.11 (348) {G0,W7,D3,L2,V2,M2} { ! left_convergent_lines( X, reverse_line( Y )
% 0.69/1.11 ), right_convergent_lines( X, Y ) }.
% 0.69/1.11 (349) {G0,W6,D2,L2,V2,M2} { ! equally_directed_lines( X, Y ), !
% 0.69/1.11 unequally_directed_lines( X, Y ) }.
% 0.69/1.11 (350) {G0,W6,D2,L2,V2,M2} { unequally_directed_lines( X, Y ),
% 0.69/1.11 equally_directed_lines( X, Y ) }.
% 0.69/1.11 (351) {G0,W6,D2,L2,V2,M2} { ! equally_directed_opposite_lines( X, Y ), !
% 0.69/1.11 unequally_directed_opposite_lines( X, Y ) }.
% 0.69/1.11 (352) {G0,W6,D2,L2,V2,M2} { unequally_directed_opposite_lines( X, Y ),
% 0.69/1.11 equally_directed_opposite_lines( X, Y ) }.
% 0.69/1.11 (353) {G0,W9,D2,L3,V2,M3} { ! apart_point_and_line( X, Y ),
% 0.69/1.11 left_apart_point( X, Y ), right_apart_point( X, Y ) }.
% 0.69/1.11 (354) {G0,W6,D2,L2,V2,M2} { ! left_apart_point( X, Y ),
% 0.69/1.11 apart_point_and_line( X, Y ) }.
% 0.69/1.11 (355) {G0,W6,D2,L2,V2,M2} { ! right_apart_point( X, Y ),
% 0.69/1.11 apart_point_and_line( X, Y ) }.
% 0.69/1.11 (356) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.69/1.11 unequally_directed_lines( X, Y ) }.
% 0.69/1.11 (357) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.69/1.11 unequally_directed_opposite_lines( X, Y ) }.
% 0.69/1.11 (358) {G0,W9,D2,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.69/1.11 unequally_directed_opposite_lines( X, Y ), convergent_lines( X, Y ) }.
% 0.69/1.11 (359) {G0,W12,D2,L3,V3,M3} { ! divides_points( Z, X, Y ), alpha1( X, Y, Z
% 0.69/1.11 ), alpha4( X, Y, Z ) }.
% 0.69/1.11 (360) {G0,W8,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), divides_points( Z, X, Y )
% 0.69/1.11 }.
% 0.69/1.11 (361) {G0,W8,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), divides_points( Z, X, Y )
% 0.69/1.11 }.
% 0.69/1.11 (362) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), right_apart_point( X, Z )
% 0.69/1.11 }.
% 0.69/1.11 (363) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), left_apart_point( Y, Z )
% 0.69/1.11 }.
% 0.69/1.11 (364) {G0,W10,D2,L3,V3,M3} { ! right_apart_point( X, Z ), !
% 0.69/1.11 left_apart_point( Y, Z ), alpha4( X, Y, Z ) }.
% 0.69/1.11 (365) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), left_apart_point( X, Z )
% 0.69/1.11 }.
% 0.69/1.11 (366) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), right_apart_point( Y, Z )
% 0.69/1.11 }.
% 0.69/1.11 (367) {G0,W10,D2,L3,V3,M3} { ! left_apart_point( X, Z ), !
% 0.69/1.11 right_apart_point( Y, Z ), alpha1( X, Y, Z ) }.
% 0.69/1.11 (368) {G0,W7,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), distinct_points(
% 0.69/1.11 Y, Z ) }.
% 0.69/1.11 (369) {G0,W8,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), alpha2( X, Y, Z )
% 0.69/1.11 }.
% 0.69/1.11 (370) {G0,W11,D2,L3,V3,M3} { ! distinct_points( Y, Z ), ! alpha2( X, Y, Z
% 0.69/1.11 ), before_on_line( X, Y, Z ) }.
% 0.69/1.11 (371) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), incident_point_and_line(
% 0.69/1.11 Y, X ) }.
% 0.69/1.11 (372) {G0,W8,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.69/1.11 (373) {G0,W11,D2,L3,V3,M3} { ! incident_point_and_line( Y, X ), ! alpha5(
% 0.69/1.11 X, Y, Z ), alpha2( X, Y, Z ) }.
% 0.69/1.11 (374) {G0,W7,D2,L2,V3,M2} { ! alpha5( X, Y, Z ), incident_point_and_line(
% 0.69/1.11 Z, X ) }.
% 0.69/1.11 (375) {G0,W9,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), equally_directed_lines( X
% 0.69/1.11 , line_connecting( Y, Z ) ) }.
% 0.69/1.11 (376) {G0,W12,D3,L3,V3,M3} { ! incident_point_and_line( Z, X ), !
% 0.69/1.11 equally_directed_lines( X, line_connecting( Y, Z ) ), alpha5( X, Y, Z )
% 0.69/1.11 }.
% 0.69/1.11 (377) {G0,W15,D2,L3,V4,M3} { ! between_on_line( X, Y, Z, T ), alpha3( X, Y
% 0.69/1.11 , Z, T ), alpha6( X, Y, Z, T ) }.
% 0.69/1.11 (378) {G0,W10,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), between_on_line( X, Y
% 0.69/1.11 , Z, T ) }.
% 0.69/1.11 (379) {G0,W10,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), between_on_line( X, Y
% 0.69/1.11 , Z, T ) }.
% 0.69/1.11 (380) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, T,
% 0.69/1.11 Z ) }.
% 0.69/1.11 (381) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, Z,
% 0.69/1.11 Y ) }.
% 0.69/1.11 (382) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, T, Z ), ! before_on_line
% 0.69/1.11 ( X, Z, Y ), alpha6( X, Y, Z, T ) }.
% 0.69/1.11 (383) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Y,
% 0.69/1.11 Z ) }.
% 0.69/1.11 (384) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Z,
% 0.69/1.11 T ) }.
% 0.69/1.11 (385) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, Y, Z ), ! before_on_line
% 0.69/1.11 ( X, Z, T ), alpha3( X, Y, Z, T ) }.
% 0.69/1.11 (386) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.69/1.11 (387) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.69/1.11 , Z ), distinct_points( Y, Z ) }.
% 0.69/1.11 (388) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.69/1.11 (389) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 0.69/1.11 ), distinct_lines( Y, Z ) }.
% 0.69/1.11 (390) {G0,W3,D2,L1,V1,M1} { equally_directed_lines( X, X ) }.
% 0.69/1.11 (391) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.69/1.11 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.69/1.11 (392) {G0,W13,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 0.69/1.11 unequally_directed_lines( X, reverse_line( Y ) ), alpha7( X, Z ),
% 0.69/1.11 unequally_directed_lines( Y, Z ) }.
% 0.69/1.11 (393) {G0,W14,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 0.69/1.11 unequally_directed_lines( X, reverse_line( Y ) ), alpha7( X, Z ),
% 0.69/1.11 unequally_directed_lines( Y, reverse_line( Z ) ) }.
% 0.69/1.11 (394) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), unequally_directed_lines( X
% 0.69/1.11 , Y ) }.
% 0.69/1.11 (395) {G0,W7,D3,L2,V2,M2} { ! alpha7( X, Y ), unequally_directed_lines( X
% 0.69/1.11 , reverse_line( Y ) ) }.
% 0.69/1.11 (396) {G0,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.69/1.11 unequally_directed_lines( X, reverse_line( Y ) ), alpha7( X, Y ) }.
% 0.69/1.11 (397) {G0,W7,D3,L2,V2,M2} { unequally_directed_lines( X, Y ),
% 0.69/1.11 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.69/1.11 (398) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y ), !
% 0.69/1.11 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 0.69/1.11 X, Y ), left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.69/1.11 (399) {G0,W3,D2,L1,V2,M1} { ! left_apart_point( X, Y ) }.
% 0.69/1.11 (400) {G0,W4,D3,L1,V2,M1} { ! left_apart_point( X, reverse_line( Y ) ) }.
% 0.69/1.11 (401) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 0.69/1.11 (402) {G0,W4,D3,L1,V2,M1} { ! left_convergent_lines( X, reverse_line( Y )
% 0.69/1.11 ) }.
% 0.69/1.11 (403) {G0,W11,D3,L4,V2,M4} { ! point( X ), ! point( Y ), ! distinct_points
% 0.69/1.11 ( X, Y ), line( line_connecting( X, Y ) ) }.
% 0.69/1.11 (404) {G0,W15,D3,L5,V2,M5} { ! line( X ), ! line( Y ), !
% 0.69/1.11 unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.69/1.11 reverse_line( Y ) ), point( intersection_point( X, Y ) ) }.
% 0.69/1.11 (405) {G0,W8,D3,L3,V2,M3} { ! point( Y ), ! line( X ), line(
% 0.69/1.11 parallel_through_point( X, Y ) ) }.
% 0.69/1.11 (406) {G0,W5,D3,L2,V1,M2} { ! line( X ), line( reverse_line( X ) ) }.
% 0.69/1.11 (407) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.69/1.11 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.69/1.11 (408) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.69/1.11 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.69/1.11 (409) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.69/1.11 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 0.69/1.11 ( intersection_point( X, Y ), X ) }.
% 0.69/1.11 (410) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.69/1.11 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 0.69/1.11 ( intersection_point( X, Y ), Y ) }.
% 0.69/1.11 (411) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 0.69/1.11 parallel_through_point( Y, X ) ) }.
% 0.69/1.11 (412) {G0,W4,D3,L1,V1,M1} { ! distinct_lines( X, reverse_line( X ) ) }.
% 0.69/1.11 (413) {G0,W11,D4,L2,V2,M2} { ! distinct_points( X, Y ),
% 0.69/1.11 equally_directed_lines( line_connecting( X, Y ), reverse_line(
% 0.69/1.11 line_connecting( Y, X ) ) ) }.
% 0.69/1.11 (414) {G0,W5,D3,L1,V2,M1} { equally_directed_lines( parallel_through_point
% 0.69/1.11 ( Y, X ), Y ) }.
% 0.69/1.11 (415) {G0,W34,D3,L10,V4,M10} { ! distinct_points( X, Y ), ! distinct_lines
% 0.69/1.11 ( Z, T ), left_apart_point( X, Z ), left_apart_point( Y, Z ),
% 0.69/1.11 left_apart_point( X, T ), left_apart_point( Y, T ), left_apart_point( X,
% 0.69/1.11 reverse_line( Z ) ), left_apart_point( Y, reverse_line( Z ) ),
% 0.69/1.11 left_apart_point( X, reverse_line( T ) ), left_apart_point( Y,
% 0.69/1.11 reverse_line( T ) ) }.
% 0.69/1.11 (416) {G0,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), ! left_apart_point
% 0.69/1.11 ( X, Z ), left_apart_point( Y, Z ), left_convergent_lines(
% 0.69/1.11 line_connecting( X, Y ), Z ) }.
% 0.69/1.11 (417) {G0,W9,D2,L3,V3,M3} { ! left_apart_point( X, Y ), distinct_points( X
% 0.69/1.11 , Z ), left_apart_point( Z, Y ) }.
% 0.69/1.11 (418) {G0,W13,D3,L4,V3,M4} { ! left_apart_point( X, Y ), !
% 0.69/1.11 unequally_directed_lines( Y, Z ), distinct_lines( Y, Z ),
% 0.69/1.11 left_apart_point( X, reverse_line( Z ) ) }.
% 0.69/1.11 (419) {G0,W9,D2,L3,V3,M3} { ! left_convergent_lines( X, Y ),
% 0.69/1.11 unequally_directed_lines( Y, Z ), left_convergent_lines( X, Z ) }.
% 0.69/1.11 (420) {G0,W5,D2,L1,V0,M1} { between_on_line( skol6, skol3, skol4, skol5 )
% 0.69/1.11 }.
% 0.69/1.11 (421) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol6, skol1 ) }.
% 0.69/1.11 (422) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol6, skol2 ) }.
% 0.69/1.11 (423) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 0.69/1.11 (424) {G0,W17,D4,L1,V0,M1} { ! between_on_line( skol1, intersection_point
% 0.69/1.11 ( skol1, parallel_through_point( skol2, skol3 ) ), intersection_point(
% 0.69/1.11 skol1, parallel_through_point( skol2, skol4 ) ), intersection_point(
% 0.69/1.11 skol1, parallel_through_point( skol2, skol5 ) ) ) }.
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 Total Proof:
% 0.69/1.11
% 0.69/1.11 subsumption: (6) {G0,W6,D2,L2,V2,M1} I { ! unequally_directed_lines( X, Y )
% 0.69/1.11 , ! equally_directed_lines( X, Y ) }.
% 0.69/1.11 parent0: (349) {G0,W6,D2,L2,V2,M2} { ! equally_directed_lines( X, Y ), !
% 0.69/1.11 unequally_directed_lines( X, Y ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 1
% 0.69/1.11 1 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (13) {G0,W6,D2,L2,V2,M1} I { unequally_directed_lines( X, Y )
% 0.69/1.11 , ! convergent_lines( X, Y ) }.
% 0.69/1.11 parent0: (356) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.69/1.11 unequally_directed_lines( X, Y ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 1
% 0.69/1.11 1 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (47) {G0,W3,D2,L1,V1,M1} I { equally_directed_lines( X, X )
% 0.69/1.11 }.
% 0.69/1.11 parent0: (390) {G0,W3,D2,L1,V1,M1} { equally_directed_lines( X, X ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (48) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z )
% 0.69/1.11 , unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y )
% 0.69/1.11 }.
% 0.69/1.11 parent0: (391) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.69/1.11 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 Z := Z
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 2
% 0.69/1.11 1 ==> 0
% 0.69/1.11 2 ==> 1
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (55) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y
% 0.69/1.11 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.69/1.11 left_convergent_lines( X, reverse_line( Y ) ), left_convergent_lines( X,
% 0.69/1.11 Y ) }.
% 0.69/1.11 parent0: (398) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y ),
% 0.69/1.11 ! unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines
% 0.69/1.11 ( X, Y ), left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 1 ==> 1
% 0.69/1.11 2 ==> 3
% 0.69/1.11 3 ==> 2
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (57) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.69/1.11 }.
% 0.69/1.11 parent0: (401) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (72) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol6, skol1 )
% 0.69/1.11 }.
% 0.69/1.11 parent0: (421) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol6, skol1 ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (73) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol6, skol2 )
% 0.69/1.11 }.
% 0.69/1.11 parent0: (422) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol6, skol2 ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (74) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 0.69/1.11 }.
% 0.69/1.11 parent0: (423) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 resolution: (543) {G1,W3,D2,L1,V0,M1} { unequally_directed_lines( skol6,
% 0.69/1.11 skol1 ) }.
% 0.69/1.11 parent0[1]: (13) {G0,W6,D2,L2,V2,M1} I { unequally_directed_lines( X, Y ),
% 0.69/1.11 ! convergent_lines( X, Y ) }.
% 0.69/1.11 parent1[0]: (72) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol6, skol1 )
% 0.69/1.11 }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := skol6
% 0.69/1.11 Y := skol1
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (89) {G1,W3,D2,L1,V0,M1} R(13,72) { unequally_directed_lines(
% 0.69/1.11 skol6, skol1 ) }.
% 0.69/1.11 parent0: (543) {G1,W3,D2,L1,V0,M1} { unequally_directed_lines( skol6,
% 0.69/1.11 skol1 ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 resolution: (544) {G1,W3,D2,L1,V0,M1} { unequally_directed_lines( skol6,
% 0.69/1.11 skol2 ) }.
% 0.69/1.11 parent0[1]: (13) {G0,W6,D2,L2,V2,M1} I { unequally_directed_lines( X, Y ),
% 0.69/1.11 ! convergent_lines( X, Y ) }.
% 0.69/1.11 parent1[0]: (73) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol6, skol2 )
% 0.69/1.11 }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := skol6
% 0.69/1.11 Y := skol2
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (90) {G1,W3,D2,L1,V0,M1} R(13,73) { unequally_directed_lines(
% 0.69/1.11 skol6, skol2 ) }.
% 0.69/1.11 parent0: (544) {G1,W3,D2,L1,V0,M1} { unequally_directed_lines( skol6,
% 0.69/1.11 skol2 ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 resolution: (545) {G1,W3,D2,L1,V0,M1} { unequally_directed_lines( skol1,
% 0.69/1.11 skol2 ) }.
% 0.69/1.11 parent0[1]: (13) {G0,W6,D2,L2,V2,M1} I { unequally_directed_lines( X, Y ),
% 0.69/1.11 ! convergent_lines( X, Y ) }.
% 0.69/1.11 parent1[0]: (74) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 0.69/1.11 }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := skol1
% 0.69/1.11 Y := skol2
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (91) {G1,W3,D2,L1,V0,M1} R(13,74) { unequally_directed_lines(
% 0.69/1.11 skol1, skol2 ) }.
% 0.69/1.11 parent0: (545) {G1,W3,D2,L1,V0,M1} { unequally_directed_lines( skol1,
% 0.69/1.11 skol2 ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 resolution: (546) {G1,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, X )
% 0.69/1.11 }.
% 0.69/1.11 parent0[1]: (6) {G0,W6,D2,L2,V2,M1} I { ! unequally_directed_lines( X, Y )
% 0.69/1.11 , ! equally_directed_lines( X, Y ) }.
% 0.69/1.11 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { equally_directed_lines( X, X ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := X
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (93) {G1,W3,D2,L1,V1,M1} R(6,47) { ! unequally_directed_lines
% 0.69/1.11 ( X, X ) }.
% 0.69/1.11 parent0: (546) {G1,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, X )
% 0.69/1.11 }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 resolution: (547) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X ),
% 0.69/1.11 ! unequally_directed_lines( X, Y ) }.
% 0.69/1.11 parent0[0]: (93) {G1,W3,D2,L1,V1,M1} R(6,47) { ! unequally_directed_lines(
% 0.69/1.11 X, X ) }.
% 0.69/1.11 parent1[0]: (48) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.69/1.11 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 Z := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (140) {G2,W6,D2,L2,V2,M2} R(48,93) { !
% 0.69/1.11 unequally_directed_lines( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.69/1.11 parent0: (547) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X ), !
% 0.69/1.11 unequally_directed_lines( X, Y ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := Y
% 0.69/1.11 Y := X
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 1
% 0.69/1.11 1 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 *** allocated 33750 integers for clauses
% 0.69/1.11 resolution: (549) {G1,W6,D2,L2,V1,M2} { unequally_directed_lines( skol1, X
% 0.69/1.11 ), unequally_directed_lines( skol2, X ) }.
% 0.69/1.11 parent0[2]: (48) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.69/1.11 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.69/1.11 parent1[0]: (91) {G1,W3,D2,L1,V0,M1} R(13,74) { unequally_directed_lines(
% 0.69/1.11 skol1, skol2 ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := skol1
% 0.69/1.11 Y := skol2
% 0.69/1.11 Z := X
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (141) {G2,W6,D2,L2,V1,M1} R(48,91) { unequally_directed_lines
% 0.69/1.11 ( skol1, X ), unequally_directed_lines( skol2, X ) }.
% 0.69/1.11 parent0: (549) {G1,W6,D2,L2,V1,M2} { unequally_directed_lines( skol1, X )
% 0.69/1.11 , unequally_directed_lines( skol2, X ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 1 ==> 1
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 resolution: (550) {G2,W3,D2,L1,V0,M1} { unequally_directed_lines( skol2,
% 0.69/1.11 skol6 ) }.
% 0.69/1.11 parent0[0]: (140) {G2,W6,D2,L2,V2,M2} R(48,93) { ! unequally_directed_lines
% 0.69/1.11 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.69/1.11 parent1[0]: (90) {G1,W3,D2,L1,V0,M1} R(13,73) { unequally_directed_lines(
% 0.69/1.11 skol6, skol2 ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := skol2
% 0.69/1.11 Y := skol6
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (157) {G3,W3,D2,L1,V0,M1} R(140,90) { unequally_directed_lines
% 0.69/1.11 ( skol2, skol6 ) }.
% 0.69/1.11 parent0: (550) {G2,W3,D2,L1,V0,M1} { unequally_directed_lines( skol2,
% 0.69/1.11 skol6 ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 resolution: (551) {G2,W3,D2,L1,V0,M1} { unequally_directed_lines( skol1,
% 0.69/1.11 skol6 ) }.
% 0.69/1.11 parent0[0]: (140) {G2,W6,D2,L2,V2,M2} R(48,93) { ! unequally_directed_lines
% 0.69/1.11 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.69/1.11 parent1[0]: (89) {G1,W3,D2,L1,V0,M1} R(13,72) { unequally_directed_lines(
% 0.69/1.11 skol6, skol1 ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := skol1
% 0.69/1.11 Y := skol6
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (158) {G3,W3,D2,L1,V0,M1} R(140,89) { unequally_directed_lines
% 0.69/1.11 ( skol1, skol6 ) }.
% 0.69/1.11 parent0: (551) {G2,W3,D2,L1,V0,M1} { unequally_directed_lines( skol1,
% 0.69/1.11 skol6 ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 resolution: (553) {G3,W6,D2,L2,V1,M2} { unequally_directed_lines( X, skol2
% 0.69/1.11 ), unequally_directed_lines( skol1, X ) }.
% 0.69/1.11 parent0[0]: (140) {G2,W6,D2,L2,V2,M2} R(48,93) { ! unequally_directed_lines
% 0.69/1.11 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.69/1.11 parent1[1]: (141) {G2,W6,D2,L2,V1,M1} R(48,91) { unequally_directed_lines(
% 0.69/1.11 skol1, X ), unequally_directed_lines( skol2, X ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := skol2
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (170) {G3,W6,D2,L2,V1,M2} R(141,140) {
% 0.69/1.11 unequally_directed_lines( X, skol2 ), unequally_directed_lines( skol1, X
% 0.69/1.11 ) }.
% 0.69/1.11 parent0: (553) {G3,W6,D2,L2,V1,M2} { unequally_directed_lines( X, skol2 )
% 0.69/1.11 , unequally_directed_lines( skol1, X ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 1 ==> 1
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 resolution: (554) {G1,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y
% 0.69/1.11 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.69/1.11 left_convergent_lines( X, Y ) }.
% 0.69/1.11 parent0[0]: (57) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.69/1.11 }.
% 0.69/1.11 parent1[2]: (55) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y
% 0.69/1.11 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.69/1.11 left_convergent_lines( X, reverse_line( Y ) ), left_convergent_lines( X,
% 0.69/1.11 Y ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := reverse_line( Y )
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 resolution: (556) {G1,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, Y )
% 0.69/1.11 , ! unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.69/1.11 parent0[0]: (57) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.69/1.11 }.
% 0.69/1.11 parent1[2]: (554) {G1,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y
% 0.69/1.11 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.69/1.11 left_convergent_lines( X, Y ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (263) {G1,W7,D3,L2,V2,M2} S(55);r(57);r(57) { !
% 0.69/1.11 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.69/1.11 unequally_directed_lines( X, Y ) }.
% 0.69/1.11 parent0: (556) {G1,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, Y ), !
% 0.69/1.11 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := X
% 0.69/1.11 Y := Y
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 1
% 0.69/1.11 1 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 resolution: (557) {G2,W4,D3,L1,V0,M1} { ! unequally_directed_lines( skol1
% 0.69/1.11 , reverse_line( skol6 ) ) }.
% 0.69/1.11 parent0[1]: (263) {G1,W7,D3,L2,V2,M2} S(55);r(57);r(57) { !
% 0.69/1.11 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.69/1.11 unequally_directed_lines( X, Y ) }.
% 0.69/1.11 parent1[0]: (158) {G3,W3,D2,L1,V0,M1} R(140,89) { unequally_directed_lines
% 0.69/1.11 ( skol1, skol6 ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := skol1
% 0.69/1.11 Y := skol6
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (310) {G4,W4,D3,L1,V0,M1} R(263,158) { !
% 0.69/1.11 unequally_directed_lines( skol1, reverse_line( skol6 ) ) }.
% 0.69/1.11 parent0: (557) {G2,W4,D3,L1,V0,M1} { ! unequally_directed_lines( skol1,
% 0.69/1.11 reverse_line( skol6 ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 resolution: (558) {G2,W4,D3,L1,V0,M1} { ! unequally_directed_lines( skol2
% 0.69/1.11 , reverse_line( skol6 ) ) }.
% 0.69/1.11 parent0[1]: (263) {G1,W7,D3,L2,V2,M2} S(55);r(57);r(57) { !
% 0.69/1.11 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.69/1.11 unequally_directed_lines( X, Y ) }.
% 0.69/1.11 parent1[0]: (157) {G3,W3,D2,L1,V0,M1} R(140,90) { unequally_directed_lines
% 0.69/1.11 ( skol2, skol6 ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := skol2
% 0.69/1.11 Y := skol6
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (311) {G4,W4,D3,L1,V0,M1} R(263,157) { !
% 0.69/1.11 unequally_directed_lines( skol2, reverse_line( skol6 ) ) }.
% 0.69/1.11 parent0: (558) {G2,W4,D3,L1,V0,M1} { ! unequally_directed_lines( skol2,
% 0.69/1.11 reverse_line( skol6 ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 resolution: (559) {G4,W4,D3,L1,V0,M1} { unequally_directed_lines(
% 0.69/1.11 reverse_line( skol6 ), skol2 ) }.
% 0.69/1.11 parent0[0]: (310) {G4,W4,D3,L1,V0,M1} R(263,158) { !
% 0.69/1.11 unequally_directed_lines( skol1, reverse_line( skol6 ) ) }.
% 0.69/1.11 parent1[1]: (170) {G3,W6,D2,L2,V1,M2} R(141,140) { unequally_directed_lines
% 0.69/1.11 ( X, skol2 ), unequally_directed_lines( skol1, X ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 X := reverse_line( skol6 )
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (332) {G5,W4,D3,L1,V0,M1} R(310,170) {
% 0.69/1.11 unequally_directed_lines( reverse_line( skol6 ), skol2 ) }.
% 0.69/1.11 parent0: (559) {G4,W4,D3,L1,V0,M1} { unequally_directed_lines(
% 0.69/1.11 reverse_line( skol6 ), skol2 ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 0 ==> 0
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 resolution: (560) {G3,W4,D3,L1,V0,M1} { unequally_directed_lines( skol2,
% 0.69/1.11 reverse_line( skol6 ) ) }.
% 0.69/1.11 parent0[0]: (140) {G2,W6,D2,L2,V2,M2} R(48,93) { ! unequally_directed_lines
% 0.69/1.11 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.69/1.11 parent1[0]: (332) {G5,W4,D3,L1,V0,M1} R(310,170) { unequally_directed_lines
% 0.69/1.11 ( reverse_line( skol6 ), skol2 ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 X := skol2
% 0.69/1.11 Y := reverse_line( skol6 )
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 resolution: (561) {G4,W0,D0,L0,V0,M0} { }.
% 0.69/1.11 parent0[0]: (311) {G4,W4,D3,L1,V0,M1} R(263,157) { !
% 0.69/1.11 unequally_directed_lines( skol2, reverse_line( skol6 ) ) }.
% 0.69/1.11 parent1[0]: (560) {G3,W4,D3,L1,V0,M1} { unequally_directed_lines( skol2,
% 0.69/1.11 reverse_line( skol6 ) ) }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 substitution1:
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 subsumption: (341) {G6,W0,D0,L0,V0,M0} R(332,140);r(311) { }.
% 0.69/1.11 parent0: (561) {G4,W0,D0,L0,V0,M0} { }.
% 0.69/1.11 substitution0:
% 0.69/1.11 end
% 0.69/1.11 permutation0:
% 0.69/1.11 end
% 0.69/1.11
% 0.69/1.11 Proof check complete!
% 0.69/1.11
% 0.69/1.11 Memory use:
% 0.69/1.11
% 0.69/1.11 space for terms: 4600
% 0.69/1.11 space for clauses: 17711
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 clauses generated: 696
% 0.69/1.11 clauses kept: 342
% 0.69/1.11 clauses selected: 134
% 0.69/1.11 clauses deleted: 21
% 0.69/1.11 clauses inuse deleted: 0
% 0.69/1.11
% 0.69/1.11 subsentry: 2507
% 0.69/1.11 literals s-matched: 1527
% 0.69/1.11 literals matched: 1377
% 0.69/1.11 full subsumption: 428
% 0.69/1.11
% 0.69/1.11 checksum: -1579387896
% 0.69/1.11
% 0.69/1.11
% 0.69/1.11 Bliksem ended
%------------------------------------------------------------------------------