%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO262+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:53:24 EDT 2022
% Result : Theorem 0.78s 1.15s
% Output : Refutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO262+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Sat Jun 18 04:35:13 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.78/1.15 *** allocated 10000 integers for termspace/termends
% 0.78/1.15 *** allocated 10000 integers for clauses
% 0.78/1.15 *** allocated 10000 integers for justifications
% 0.78/1.15 Bliksem 1.12
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 Automatic Strategy Selection
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 Clauses:
% 0.78/1.15
% 0.78/1.15 { ! unequally_directed_opposite_lines( X, Y ), unequally_directed_lines( X
% 0.78/1.15 , reverse_line( Y ) ) }.
% 0.78/1.15 { ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.78/1.15 unequally_directed_opposite_lines( X, Y ) }.
% 0.78/1.15 { ! right_apart_point( X, Y ), left_apart_point( X, reverse_line( Y ) ) }.
% 0.78/1.15 { ! left_apart_point( X, reverse_line( Y ) ), right_apart_point( X, Y ) }.
% 0.78/1.15 { ! right_convergent_lines( X, Y ), left_convergent_lines( X, reverse_line
% 0.78/1.15 ( Y ) ) }.
% 0.78/1.15 { ! left_convergent_lines( X, reverse_line( Y ) ), right_convergent_lines(
% 0.78/1.15 X, Y ) }.
% 0.78/1.15 { ! equally_directed_lines( X, Y ), ! unequally_directed_lines( X, Y ) }.
% 0.78/1.15 { unequally_directed_lines( X, Y ), equally_directed_lines( X, Y ) }.
% 0.78/1.15 { ! equally_directed_opposite_lines( X, Y ), !
% 0.78/1.15 unequally_directed_opposite_lines( X, Y ) }.
% 0.78/1.15 { unequally_directed_opposite_lines( X, Y ),
% 0.78/1.15 equally_directed_opposite_lines( X, Y ) }.
% 0.78/1.15 { ! apart_point_and_line( X, Y ), left_apart_point( X, Y ),
% 0.78/1.15 right_apart_point( X, Y ) }.
% 0.78/1.15 { ! left_apart_point( X, Y ), apart_point_and_line( X, Y ) }.
% 0.78/1.15 { ! right_apart_point( X, Y ), apart_point_and_line( X, Y ) }.
% 0.78/1.15 { ! convergent_lines( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.78/1.15 { ! convergent_lines( X, Y ), unequally_directed_opposite_lines( X, Y ) }.
% 0.78/1.15 { ! unequally_directed_lines( X, Y ), ! unequally_directed_opposite_lines(
% 0.78/1.15 X, Y ), convergent_lines( X, Y ) }.
% 0.78/1.15 { ! divides_points( Z, X, Y ), alpha1( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.78/1.15 { ! alpha1( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.78/1.15 { ! alpha4( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.78/1.15 { ! alpha4( X, Y, Z ), right_apart_point( X, Z ) }.
% 0.78/1.15 { ! alpha4( X, Y, Z ), left_apart_point( Y, Z ) }.
% 0.78/1.15 { ! right_apart_point( X, Z ), ! left_apart_point( Y, Z ), alpha4( X, Y, Z
% 0.78/1.15 ) }.
% 0.78/1.15 { ! alpha1( X, Y, Z ), left_apart_point( X, Z ) }.
% 0.78/1.15 { ! alpha1( X, Y, Z ), right_apart_point( Y, Z ) }.
% 0.78/1.15 { ! left_apart_point( X, Z ), ! right_apart_point( Y, Z ), alpha1( X, Y, Z
% 0.78/1.15 ) }.
% 0.78/1.15 { ! before_on_line( X, Y, Z ), distinct_points( Y, Z ) }.
% 0.78/1.15 { ! before_on_line( X, Y, Z ), alpha2( X, Y, Z ) }.
% 0.78/1.15 { ! distinct_points( Y, Z ), ! alpha2( X, Y, Z ), before_on_line( X, Y, Z )
% 0.78/1.15 }.
% 0.78/1.15 { ! alpha2( X, Y, Z ), incident_point_and_line( Y, X ) }.
% 0.78/1.15 { ! alpha2( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.78/1.15 { ! incident_point_and_line( Y, X ), ! alpha5( X, Y, Z ), alpha2( X, Y, Z )
% 0.78/1.15 }.
% 0.78/1.15 { ! alpha5( X, Y, Z ), incident_point_and_line( Z, X ) }.
% 0.78/1.15 { ! alpha5( X, Y, Z ), equally_directed_lines( X, line_connecting( Y, Z ) )
% 0.78/1.15 }.
% 0.78/1.15 { ! incident_point_and_line( Z, X ), ! equally_directed_lines( X,
% 0.78/1.15 line_connecting( Y, Z ) ), alpha5( X, Y, Z ) }.
% 0.78/1.15 { ! between_on_line( X, Y, Z, T ), alpha3( X, Y, Z, T ), alpha6( X, Y, Z, T
% 0.78/1.15 ) }.
% 0.78/1.15 { ! alpha3( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.78/1.15 { ! alpha6( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.78/1.15 { ! alpha6( X, Y, Z, T ), before_on_line( X, T, Z ) }.
% 0.78/1.15 { ! alpha6( X, Y, Z, T ), before_on_line( X, Z, Y ) }.
% 0.78/1.15 { ! before_on_line( X, T, Z ), ! before_on_line( X, Z, Y ), alpha6( X, Y, Z
% 0.78/1.15 , T ) }.
% 0.78/1.15 { ! alpha3( X, Y, Z, T ), before_on_line( X, Y, Z ) }.
% 0.78/1.15 { ! alpha3( X, Y, Z, T ), before_on_line( X, Z, T ) }.
% 0.78/1.15 { ! before_on_line( X, Y, Z ), ! before_on_line( X, Z, T ), alpha3( X, Y, Z
% 0.78/1.15 , T ) }.
% 0.78/1.15 { ! distinct_points( X, X ) }.
% 0.78/1.15 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.78/1.15 ) }.
% 0.78/1.15 { ! distinct_lines( X, X ) }.
% 0.78/1.15 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.78/1.15 }.
% 0.78/1.15 { equally_directed_lines( X, X ) }.
% 0.78/1.15 { ! unequally_directed_lines( X, Y ), unequally_directed_lines( X, Z ),
% 0.78/1.15 unequally_directed_lines( Y, Z ) }.
% 0.78/1.15 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.78/1.15 reverse_line( Y ) ), alpha7( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.78/1.15 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.78/1.15 reverse_line( Y ) ), alpha7( X, Z ), unequally_directed_lines( Y,
% 0.78/1.15 reverse_line( Z ) ) }.
% 0.78/1.15 { ! alpha7( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.78/1.15 { ! alpha7( X, Y ), unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.78/1.15 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.78/1.15 reverse_line( Y ) ), alpha7( X, Y ) }.
% 0.78/1.15 { unequally_directed_lines( X, Y ), unequally_directed_lines( X,
% 0.78/1.15 reverse_line( Y ) ) }.
% 0.78/1.15 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.78/1.15 reverse_line( Y ) ), left_convergent_lines( X, Y ), left_convergent_lines
% 0.78/1.15 ( X, reverse_line( Y ) ) }.
% 0.78/1.15 { ! left_apart_point( X, Y ) }.
% 0.78/1.15 { ! left_apart_point( X, reverse_line( Y ) ) }.
% 0.78/1.15 { ! left_convergent_lines( X, Y ) }.
% 0.78/1.15 { ! left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.78/1.15 { ! point( X ), ! point( Y ), ! distinct_points( X, Y ), line(
% 0.78/1.15 line_connecting( X, Y ) ) }.
% 0.78/1.15 { ! line( X ), ! line( Y ), ! unequally_directed_lines( X, Y ), !
% 0.78/1.15 unequally_directed_lines( X, reverse_line( Y ) ), point(
% 0.78/1.15 intersection_point( X, Y ) ) }.
% 0.78/1.15 { ! point( Y ), ! line( X ), line( parallel_through_point( X, Y ) ) }.
% 0.78/1.15 { ! line( X ), line( reverse_line( X ) ) }.
% 0.78/1.15 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 0.78/1.15 , Y ) ) }.
% 0.78/1.15 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 0.78/1.15 , Y ) ) }.
% 0.78/1.15 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.78/1.15 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 0.78/1.15 X ) }.
% 0.78/1.15 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.78/1.15 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 0.78/1.15 Y ) }.
% 0.78/1.15 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 0.78/1.15 { ! distinct_lines( X, reverse_line( X ) ) }.
% 0.78/1.15 { ! distinct_points( X, Y ), equally_directed_lines( line_connecting( X, Y
% 0.78/1.15 ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.78/1.15 { equally_directed_lines( parallel_through_point( Y, X ), Y ) }.
% 0.78/1.15 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), left_apart_point( X
% 0.78/1.15 , Z ), left_apart_point( Y, Z ), left_apart_point( X, T ),
% 0.78/1.15 left_apart_point( Y, T ), left_apart_point( X, reverse_line( Z ) ),
% 0.78/1.15 left_apart_point( Y, reverse_line( Z ) ), left_apart_point( X,
% 0.78/1.15 reverse_line( T ) ), left_apart_point( Y, reverse_line( T ) ) }.
% 0.78/1.15 { ! distinct_points( X, Y ), ! left_apart_point( X, Z ), left_apart_point(
% 0.78/1.15 Y, Z ), left_convergent_lines( line_connecting( X, Y ), Z ) }.
% 0.78/1.15 { ! left_apart_point( X, Y ), distinct_points( X, Z ), left_apart_point( Z
% 0.78/1.15 , Y ) }.
% 0.78/1.15 { ! left_apart_point( X, Y ), ! unequally_directed_lines( Y, Z ),
% 0.78/1.15 distinct_lines( Y, Z ), left_apart_point( X, reverse_line( Z ) ) }.
% 0.78/1.15 { ! left_convergent_lines( X, Y ), unequally_directed_lines( Y, Z ),
% 0.78/1.15 left_convergent_lines( X, Z ) }.
% 0.78/1.15 { between_on_line( skol6, skol3, skol4, skol5 ) }.
% 0.78/1.15 { convergent_lines( skol6, skol1 ) }.
% 0.78/1.15 { incident_point_and_line( skol4, skol1 ) }.
% 0.78/1.15 { convergent_lines( skol6, skol2 ) }.
% 0.78/1.15 { convergent_lines( skol1, skol2 ) }.
% 0.78/1.15 { incident_point_and_line( skol4, skol2 ) }.
% 0.78/1.15 { ! between_on_line( skol1, intersection_point( skol1,
% 0.78/1.15 parallel_through_point( skol2, skol3 ) ), skol4, intersection_point(
% 0.78/1.15 skol1, parallel_through_point( skol2, skol5 ) ) ) }.
% 0.78/1.15
% 0.78/1.15 percentage equality = 0.000000, percentage horn = 0.833333
% 0.78/1.15 This a non-horn, non-equality problem
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 Options Used:
% 0.78/1.15
% 0.78/1.15 useres = 1
% 0.78/1.15 useparamod = 0
% 0.78/1.15 useeqrefl = 0
% 0.78/1.15 useeqfact = 0
% 0.78/1.15 usefactor = 1
% 0.78/1.15 usesimpsplitting = 0
% 0.78/1.15 usesimpdemod = 0
% 0.78/1.15 usesimpres = 3
% 0.78/1.15
% 0.78/1.15 resimpinuse = 1000
% 0.78/1.15 resimpclauses = 20000
% 0.78/1.15 substype = standard
% 0.78/1.15 backwardsubs = 1
% 0.78/1.15 selectoldest = 5
% 0.78/1.15
% 0.78/1.15 litorderings [0] = split
% 0.78/1.15 litorderings [1] = liftord
% 0.78/1.15
% 0.78/1.15 termordering = none
% 0.78/1.15
% 0.78/1.15 litapriori = 1
% 0.78/1.15 termapriori = 0
% 0.78/1.15 litaposteriori = 0
% 0.78/1.15 termaposteriori = 0
% 0.78/1.15 demodaposteriori = 0
% 0.78/1.15 ordereqreflfact = 0
% 0.78/1.15
% 0.78/1.15 litselect = none
% 0.78/1.15
% 0.78/1.15 maxweight = 15
% 0.78/1.15 maxdepth = 30000
% 0.78/1.15 maxlength = 115
% 0.78/1.15 maxnrvars = 195
% 0.78/1.15 excuselevel = 1
% 0.78/1.15 increasemaxweight = 1
% 0.78/1.15
% 0.78/1.15 maxselected = 10000000
% 0.78/1.15 maxnrclauses = 10000000
% 0.78/1.15
% 0.78/1.15 showgenerated = 0
% 0.78/1.15 showkept = 0
% 0.78/1.15 showselected = 0
% 0.78/1.15 showdeleted = 0
% 0.78/1.15 showresimp = 1
% 0.78/1.15 showstatus = 2000
% 0.78/1.15
% 0.78/1.15 prologoutput = 0
% 0.78/1.15 nrgoals = 5000000
% 0.78/1.15 totalproof = 1
% 0.78/1.15
% 0.78/1.15 Symbols occurring in the translation:
% 0.78/1.15
% 0.78/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.78/1.15 . [1, 2] (w:1, o:28, a:1, s:1, b:0),
% 0.78/1.15 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.78/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.78/1.15 unequally_directed_opposite_lines [37, 2] (w:1, o:52, a:1, s:1, b:0)
% 0.78/1.15 ,
% 0.78/1.15 reverse_line [38, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.78/1.15 unequally_directed_lines [39, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.78/1.15 right_apart_point [40, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.78/1.15 left_apart_point [41, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.78/1.15 right_convergent_lines [42, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.78/1.15 left_convergent_lines [43, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.78/1.15 equally_directed_lines [44, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.78/1.15 equally_directed_opposite_lines [45, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.78/1.15 apart_point_and_line [48, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.78/1.15 convergent_lines [50, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.78/1.15 divides_points [52, 3] (w:1, o:69, a:1, s:1, b:0),
% 0.78/1.15 before_on_line [53, 3] (w:1, o:74, a:1, s:1, b:0),
% 0.78/1.15 distinct_points [54, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.78/1.15 incident_point_and_line [55, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.78/1.15 line_connecting [56, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.78/1.15 between_on_line [58, 4] (w:1, o:77, a:1, s:1, b:0),
% 0.78/1.15 distinct_lines [59, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.78/1.15 point [61, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.78/1.15 line [62, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.78/1.15 intersection_point [63, 2] (w:1, o:66, a:1, s:1, b:0),
% 0.78/1.15 parallel_through_point [64, 2] (w:1, o:67, a:1, s:1, b:0),
% 0.78/1.15 alpha1 [65, 3] (w:1, o:70, a:1, s:1, b:0),
% 0.78/1.15 alpha2 [66, 3] (w:1, o:71, a:1, s:1, b:0),
% 0.78/1.15 alpha3 [67, 4] (w:1, o:75, a:1, s:1, b:0),
% 0.78/1.15 alpha4 [68, 3] (w:1, o:72, a:1, s:1, b:0),
% 0.78/1.15 alpha5 [69, 3] (w:1, o:73, a:1, s:1, b:0),
% 0.78/1.15 alpha6 [70, 4] (w:1, o:76, a:1, s:1, b:0),
% 0.78/1.15 alpha7 [71, 2] (w:1, o:68, a:1, s:1, b:0),
% 0.78/1.15 skol1 [72, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.78/1.15 skol2 [73, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.78/1.15 skol3 [74, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.78/1.15 skol4 [75, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.78/1.15 skol5 [76, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.78/1.15 skol6 [77, 0] (w:1, o:19, a:1, s:1, b:0).
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 Starting Search:
% 0.78/1.15
% 0.78/1.15 *** allocated 15000 integers for clauses
% 0.78/1.15 *** allocated 22500 integers for clauses
% 0.78/1.15
% 0.78/1.15 Bliksems!, er is een bewijs:
% 0.78/1.15 % SZS status Theorem
% 0.78/1.15 % SZS output start Refutation
% 0.78/1.15
% 0.78/1.15 (6) {G0,W6,D2,L2,V2,M1} I { ! unequally_directed_lines( X, Y ), !
% 0.78/1.15 equally_directed_lines( X, Y ) }.
% 0.78/1.15 (13) {G0,W6,D2,L2,V2,M1} I { unequally_directed_lines( X, Y ), !
% 0.78/1.15 convergent_lines( X, Y ) }.
% 0.78/1.15 (47) {G0,W3,D2,L1,V1,M1} I { equally_directed_lines( X, X ) }.
% 0.78/1.15 (48) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.78/1.15 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.78/1.15 (55) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y ), !
% 0.78/1.15 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 0.78/1.15 X, reverse_line( Y ) ), left_convergent_lines( X, Y ) }.
% 0.78/1.15 (57) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y ) }.
% 0.78/1.15 (72) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol6, skol1 ) }.
% 0.78/1.15 (74) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol6, skol2 ) }.
% 0.78/1.15 (75) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 ) }.
% 0.78/1.15 (91) {G1,W3,D2,L1,V0,M1} R(13,72) { unequally_directed_lines( skol6, skol1
% 0.78/1.15 ) }.
% 0.78/1.15 (92) {G1,W3,D2,L1,V0,M1} R(13,74) { unequally_directed_lines( skol6, skol2
% 0.78/1.15 ) }.
% 0.78/1.15 (93) {G1,W3,D2,L1,V0,M1} R(13,75) { unequally_directed_lines( skol1, skol2
% 0.78/1.15 ) }.
% 0.78/1.15 (95) {G1,W3,D2,L1,V1,M1} R(6,47) { ! unequally_directed_lines( X, X ) }.
% 0.78/1.15 (144) {G2,W6,D2,L2,V2,M2} R(48,95) { ! unequally_directed_lines( Y, X ),
% 0.78/1.15 unequally_directed_lines( X, Y ) }.
% 0.78/1.15 (145) {G2,W6,D2,L2,V1,M1} R(48,93) { unequally_directed_lines( skol1, X ),
% 0.78/1.15 unequally_directed_lines( skol2, X ) }.
% 0.78/1.15 (161) {G3,W3,D2,L1,V0,M1} R(144,92) { unequally_directed_lines( skol2,
% 0.78/1.15 skol6 ) }.
% 0.78/1.15 (162) {G3,W3,D2,L1,V0,M1} R(144,91) { unequally_directed_lines( skol1,
% 0.78/1.15 skol6 ) }.
% 0.78/1.15 (172) {G3,W6,D2,L2,V1,M2} R(145,144) { unequally_directed_lines( X, skol2 )
% 0.78/1.15 , unequally_directed_lines( skol1, X ) }.
% 0.78/1.15 (257) {G1,W7,D3,L2,V2,M2} S(55);r(57);r(57) { ! unequally_directed_lines( X
% 0.78/1.15 , reverse_line( Y ) ), ! unequally_directed_lines( X, Y ) }.
% 0.78/1.15 (304) {G4,W4,D3,L1,V0,M1} R(257,162) { ! unequally_directed_lines( skol1,
% 0.78/1.15 reverse_line( skol6 ) ) }.
% 0.78/1.15 (305) {G4,W4,D3,L1,V0,M1} R(257,161) { ! unequally_directed_lines( skol2,
% 0.78/1.15 reverse_line( skol6 ) ) }.
% 0.78/1.15 (326) {G5,W4,D3,L1,V0,M1} R(304,172) { unequally_directed_lines(
% 0.78/1.15 reverse_line( skol6 ), skol2 ) }.
% 0.78/1.15 (335) {G6,W0,D0,L0,V0,M0} R(326,144);r(305) { }.
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 % SZS output end Refutation
% 0.78/1.15 found a proof!
% 0.78/1.15
% 0.78/1.15
% 0.78/1.15 Unprocessed initial clauses:
% 0.78/1.15
% 0.78/1.15 (337) {G0,W7,D3,L2,V2,M2} { ! unequally_directed_opposite_lines( X, Y ),
% 0.78/1.15 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.78/1.15 (338) {G0,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, reverse_line( Y
% 0.78/1.15 ) ), unequally_directed_opposite_lines( X, Y ) }.
% 0.78/1.15 (339) {G0,W7,D3,L2,V2,M2} { ! right_apart_point( X, Y ), left_apart_point
% 0.78/1.15 ( X, reverse_line( Y ) ) }.
% 0.78/1.15 (340) {G0,W7,D3,L2,V2,M2} { ! left_apart_point( X, reverse_line( Y ) ),
% 0.78/1.15 right_apart_point( X, Y ) }.
% 0.78/1.15 (341) {G0,W7,D3,L2,V2,M2} { ! right_convergent_lines( X, Y ),
% 0.78/1.15 left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.78/1.15 (342) {G0,W7,D3,L2,V2,M2} { ! left_convergent_lines( X, reverse_line( Y )
% 0.78/1.15 ), right_convergent_lines( X, Y ) }.
% 0.78/1.15 (343) {G0,W6,D2,L2,V2,M2} { ! equally_directed_lines( X, Y ), !
% 0.78/1.15 unequally_directed_lines( X, Y ) }.
% 0.78/1.15 (344) {G0,W6,D2,L2,V2,M2} { unequally_directed_lines( X, Y ),
% 0.78/1.15 equally_directed_lines( X, Y ) }.
% 0.78/1.15 (345) {G0,W6,D2,L2,V2,M2} { ! equally_directed_opposite_lines( X, Y ), !
% 0.78/1.15 unequally_directed_opposite_lines( X, Y ) }.
% 0.78/1.15 (346) {G0,W6,D2,L2,V2,M2} { unequally_directed_opposite_lines( X, Y ),
% 0.78/1.15 equally_directed_opposite_lines( X, Y ) }.
% 0.78/1.15 (347) {G0,W9,D2,L3,V2,M3} { ! apart_point_and_line( X, Y ),
% 0.78/1.15 left_apart_point( X, Y ), right_apart_point( X, Y ) }.
% 0.78/1.15 (348) {G0,W6,D2,L2,V2,M2} { ! left_apart_point( X, Y ),
% 0.78/1.15 apart_point_and_line( X, Y ) }.
% 0.78/1.15 (349) {G0,W6,D2,L2,V2,M2} { ! right_apart_point( X, Y ),
% 0.78/1.15 apart_point_and_line( X, Y ) }.
% 0.78/1.15 (350) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.78/1.15 unequally_directed_lines( X, Y ) }.
% 0.78/1.15 (351) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.78/1.15 unequally_directed_opposite_lines( X, Y ) }.
% 0.78/1.15 (352) {G0,W9,D2,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.78/1.15 unequally_directed_opposite_lines( X, Y ), convergent_lines( X, Y ) }.
% 0.78/1.15 (353) {G0,W12,D2,L3,V3,M3} { ! divides_points( Z, X, Y ), alpha1( X, Y, Z
% 0.78/1.15 ), alpha4( X, Y, Z ) }.
% 0.78/1.15 (354) {G0,W8,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), divides_points( Z, X, Y )
% 0.78/1.15 }.
% 0.78/1.15 (355) {G0,W8,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), divides_points( Z, X, Y )
% 0.78/1.15 }.
% 0.78/1.15 (356) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), right_apart_point( X, Z )
% 0.78/1.15 }.
% 0.78/1.15 (357) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), left_apart_point( Y, Z )
% 0.78/1.15 }.
% 0.78/1.15 (358) {G0,W10,D2,L3,V3,M3} { ! right_apart_point( X, Z ), !
% 0.78/1.15 left_apart_point( Y, Z ), alpha4( X, Y, Z ) }.
% 0.78/1.15 (359) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), left_apart_point( X, Z )
% 0.78/1.15 }.
% 0.78/1.15 (360) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), right_apart_point( Y, Z )
% 0.78/1.15 }.
% 0.78/1.15 (361) {G0,W10,D2,L3,V3,M3} { ! left_apart_point( X, Z ), !
% 0.78/1.15 right_apart_point( Y, Z ), alpha1( X, Y, Z ) }.
% 0.78/1.15 (362) {G0,W7,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), distinct_points(
% 0.78/1.15 Y, Z ) }.
% 0.78/1.15 (363) {G0,W8,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), alpha2( X, Y, Z )
% 0.78/1.15 }.
% 0.78/1.15 (364) {G0,W11,D2,L3,V3,M3} { ! distinct_points( Y, Z ), ! alpha2( X, Y, Z
% 0.78/1.15 ), before_on_line( X, Y, Z ) }.
% 0.78/1.15 (365) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), incident_point_and_line(
% 0.78/1.15 Y, X ) }.
% 0.78/1.15 (366) {G0,W8,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.78/1.15 (367) {G0,W11,D2,L3,V3,M3} { ! incident_point_and_line( Y, X ), ! alpha5(
% 0.78/1.15 X, Y, Z ), alpha2( X, Y, Z ) }.
% 0.78/1.15 (368) {G0,W7,D2,L2,V3,M2} { ! alpha5( X, Y, Z ), incident_point_and_line(
% 0.78/1.15 Z, X ) }.
% 0.78/1.15 (369) {G0,W9,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), equally_directed_lines( X
% 0.78/1.15 , line_connecting( Y, Z ) ) }.
% 0.78/1.15 (370) {G0,W12,D3,L3,V3,M3} { ! incident_point_and_line( Z, X ), !
% 0.78/1.15 equally_directed_lines( X, line_connecting( Y, Z ) ), alpha5( X, Y, Z )
% 0.78/1.15 }.
% 0.78/1.15 (371) {G0,W15,D2,L3,V4,M3} { ! between_on_line( X, Y, Z, T ), alpha3( X, Y
% 0.78/1.15 , Z, T ), alpha6( X, Y, Z, T ) }.
% 0.78/1.15 (372) {G0,W10,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), between_on_line( X, Y
% 0.78/1.15 , Z, T ) }.
% 0.78/1.15 (373) {G0,W10,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), between_on_line( X, Y
% 0.78/1.15 , Z, T ) }.
% 0.78/1.15 (374) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, T,
% 0.78/1.15 Z ) }.
% 0.78/1.15 (375) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, Z,
% 0.78/1.15 Y ) }.
% 0.78/1.15 (376) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, T, Z ), ! before_on_line
% 0.78/1.15 ( X, Z, Y ), alpha6( X, Y, Z, T ) }.
% 0.78/1.15 (377) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Y,
% 0.78/1.15 Z ) }.
% 0.78/1.15 (378) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Z,
% 0.78/1.15 T ) }.
% 0.78/1.15 (379) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, Y, Z ), ! before_on_line
% 0.78/1.15 ( X, Z, T ), alpha3( X, Y, Z, T ) }.
% 0.78/1.15 (380) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.78/1.15 (381) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.78/1.15 , Z ), distinct_points( Y, Z ) }.
% 0.78/1.15 (382) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.78/1.15 (383) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 0.78/1.15 ), distinct_lines( Y, Z ) }.
% 0.78/1.15 (384) {G0,W3,D2,L1,V1,M1} { equally_directed_lines( X, X ) }.
% 0.78/1.15 (385) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.78/1.15 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.78/1.15 (386) {G0,W13,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 0.78/1.15 unequally_directed_lines( X, reverse_line( Y ) ), alpha7( X, Z ),
% 0.78/1.15 unequally_directed_lines( Y, Z ) }.
% 0.78/1.15 (387) {G0,W14,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 0.78/1.15 unequally_directed_lines( X, reverse_line( Y ) ), alpha7( X, Z ),
% 0.78/1.15 unequally_directed_lines( Y, reverse_line( Z ) ) }.
% 0.78/1.15 (388) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), unequally_directed_lines( X
% 0.78/1.15 , Y ) }.
% 0.78/1.15 (389) {G0,W7,D3,L2,V2,M2} { ! alpha7( X, Y ), unequally_directed_lines( X
% 0.78/1.15 , reverse_line( Y ) ) }.
% 0.78/1.15 (390) {G0,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.78/1.15 unequally_directed_lines( X, reverse_line( Y ) ), alpha7( X, Y ) }.
% 0.78/1.15 (391) {G0,W7,D3,L2,V2,M2} { unequally_directed_lines( X, Y ),
% 0.78/1.15 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.78/1.15 (392) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y ), !
% 0.78/1.15 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 0.78/1.15 X, Y ), left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.78/1.15 (393) {G0,W3,D2,L1,V2,M1} { ! left_apart_point( X, Y ) }.
% 0.78/1.15 (394) {G0,W4,D3,L1,V2,M1} { ! left_apart_point( X, reverse_line( Y ) ) }.
% 0.78/1.15 (395) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 0.78/1.15 (396) {G0,W4,D3,L1,V2,M1} { ! left_convergent_lines( X, reverse_line( Y )
% 0.78/1.15 ) }.
% 0.78/1.15 (397) {G0,W11,D3,L4,V2,M4} { ! point( X ), ! point( Y ), ! distinct_points
% 0.78/1.15 ( X, Y ), line( line_connecting( X, Y ) ) }.
% 0.78/1.15 (398) {G0,W15,D3,L5,V2,M5} { ! line( X ), ! line( Y ), !
% 0.78/1.15 unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.78/1.15 reverse_line( Y ) ), point( intersection_point( X, Y ) ) }.
% 0.78/1.15 (399) {G0,W8,D3,L3,V2,M3} { ! point( Y ), ! line( X ), line(
% 0.78/1.15 parallel_through_point( X, Y ) ) }.
% 0.78/1.15 (400) {G0,W5,D3,L2,V1,M2} { ! line( X ), line( reverse_line( X ) ) }.
% 0.78/1.15 (401) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.78/1.15 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.78/1.15 (402) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.78/1.15 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.78/1.15 (403) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.78/1.15 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 0.78/1.15 ( intersection_point( X, Y ), X ) }.
% 0.78/1.15 (404) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.78/1.15 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 0.78/1.15 ( intersection_point( X, Y ), Y ) }.
% 0.78/1.15 (405) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 0.78/1.15 parallel_through_point( Y, X ) ) }.
% 0.78/1.15 (406) {G0,W4,D3,L1,V1,M1} { ! distinct_lines( X, reverse_line( X ) ) }.
% 0.78/1.15 (407) {G0,W11,D4,L2,V2,M2} { ! distinct_points( X, Y ),
% 0.78/1.15 equally_directed_lines( line_connecting( X, Y ), reverse_line(
% 0.78/1.15 line_connecting( Y, X ) ) ) }.
% 0.78/1.15 (408) {G0,W5,D3,L1,V2,M1} { equally_directed_lines( parallel_through_point
% 0.78/1.15 ( Y, X ), Y ) }.
% 0.78/1.15 (409) {G0,W34,D3,L10,V4,M10} { ! distinct_points( X, Y ), ! distinct_lines
% 0.78/1.15 ( Z, T ), left_apart_point( X, Z ), left_apart_point( Y, Z ),
% 0.78/1.15 left_apart_point( X, T ), left_apart_point( Y, T ), left_apart_point( X,
% 0.78/1.15 reverse_line( Z ) ), left_apart_point( Y, reverse_line( Z ) ),
% 0.78/1.15 left_apart_point( X, reverse_line( T ) ), left_apart_point( Y,
% 0.78/1.15 reverse_line( T ) ) }.
% 0.78/1.15 (410) {G0,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), ! left_apart_point
% 0.78/1.15 ( X, Z ), left_apart_point( Y, Z ), left_convergent_lines(
% 0.78/1.15 line_connecting( X, Y ), Z ) }.
% 0.78/1.15 (411) {G0,W9,D2,L3,V3,M3} { ! left_apart_point( X, Y ), distinct_points( X
% 0.78/1.15 , Z ), left_apart_point( Z, Y ) }.
% 0.78/1.15 (412) {G0,W13,D3,L4,V3,M4} { ! left_apart_point( X, Y ), !
% 0.78/1.15 unequally_directed_lines( Y, Z ), distinct_lines( Y, Z ),
% 0.78/1.15 left_apart_point( X, reverse_line( Z ) ) }.
% 0.78/1.15 (413) {G0,W9,D2,L3,V3,M3} { ! left_convergent_lines( X, Y ),
% 0.78/1.15 unequally_directed_lines( Y, Z ), left_convergent_lines( X, Z ) }.
% 0.78/1.16 (414) {G0,W5,D2,L1,V0,M1} { between_on_line( skol6, skol3, skol4, skol5 )
% 0.78/1.16 }.
% 0.78/1.16 (415) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol6, skol1 ) }.
% 0.78/1.16 (416) {G0,W3,D2,L1,V0,M1} { incident_point_and_line( skol4, skol1 ) }.
% 0.78/1.16 (417) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol6, skol2 ) }.
% 0.78/1.16 (418) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 0.78/1.16 (419) {G0,W3,D2,L1,V0,M1} { incident_point_and_line( skol4, skol2 ) }.
% 0.78/1.16 (420) {G0,W13,D4,L1,V0,M1} { ! between_on_line( skol1, intersection_point
% 0.78/1.16 ( skol1, parallel_through_point( skol2, skol3 ) ), skol4,
% 0.78/1.16 intersection_point( skol1, parallel_through_point( skol2, skol5 ) ) ) }.
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 Total Proof:
% 0.78/1.16
% 0.78/1.16 subsumption: (6) {G0,W6,D2,L2,V2,M1} I { ! unequally_directed_lines( X, Y )
% 0.78/1.16 , ! equally_directed_lines( X, Y ) }.
% 0.78/1.16 parent0: (343) {G0,W6,D2,L2,V2,M2} { ! equally_directed_lines( X, Y ), !
% 0.78/1.16 unequally_directed_lines( X, Y ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 X := X
% 0.78/1.16 Y := Y
% 0.78/1.16 end
% 0.78/1.16 permutation0:
% 0.78/1.16 0 ==> 1
% 0.78/1.16 1 ==> 0
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 subsumption: (13) {G0,W6,D2,L2,V2,M1} I { unequally_directed_lines( X, Y )
% 0.78/1.16 , ! convergent_lines( X, Y ) }.
% 0.78/1.16 parent0: (350) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.78/1.16 unequally_directed_lines( X, Y ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 X := X
% 0.78/1.16 Y := Y
% 0.78/1.16 end
% 0.78/1.16 permutation0:
% 0.78/1.16 0 ==> 1
% 0.78/1.16 1 ==> 0
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 subsumption: (47) {G0,W3,D2,L1,V1,M1} I { equally_directed_lines( X, X )
% 0.78/1.16 }.
% 0.78/1.16 parent0: (384) {G0,W3,D2,L1,V1,M1} { equally_directed_lines( X, X ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 X := X
% 0.78/1.16 end
% 0.78/1.16 permutation0:
% 0.78/1.16 0 ==> 0
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 subsumption: (48) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z )
% 0.78/1.16 , unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y )
% 0.78/1.16 }.
% 0.78/1.16 parent0: (385) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.78/1.16 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 X := X
% 0.78/1.16 Y := Y
% 0.78/1.16 Z := Z
% 0.78/1.16 end
% 0.78/1.16 permutation0:
% 0.78/1.16 0 ==> 2
% 0.78/1.16 1 ==> 0
% 0.78/1.16 2 ==> 1
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 subsumption: (55) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y
% 0.78/1.16 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.78/1.16 left_convergent_lines( X, reverse_line( Y ) ), left_convergent_lines( X,
% 0.78/1.16 Y ) }.
% 0.78/1.16 parent0: (392) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y ),
% 0.78/1.16 ! unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines
% 0.78/1.16 ( X, Y ), left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 X := X
% 0.78/1.16 Y := Y
% 0.78/1.16 end
% 0.78/1.16 permutation0:
% 0.78/1.16 0 ==> 0
% 0.78/1.16 1 ==> 1
% 0.78/1.16 2 ==> 3
% 0.78/1.16 3 ==> 2
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 subsumption: (57) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.78/1.16 }.
% 0.78/1.16 parent0: (395) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 X := X
% 0.78/1.16 Y := Y
% 0.78/1.16 end
% 0.78/1.16 permutation0:
% 0.78/1.16 0 ==> 0
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 subsumption: (72) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol6, skol1 )
% 0.78/1.16 }.
% 0.78/1.16 parent0: (415) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol6, skol1 ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 end
% 0.78/1.16 permutation0:
% 0.78/1.16 0 ==> 0
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 subsumption: (74) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol6, skol2 )
% 0.78/1.16 }.
% 0.78/1.16 parent0: (417) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol6, skol2 ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 end
% 0.78/1.16 permutation0:
% 0.78/1.16 0 ==> 0
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 subsumption: (75) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 0.78/1.16 }.
% 0.78/1.16 parent0: (418) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 end
% 0.78/1.16 permutation0:
% 0.78/1.16 0 ==> 0
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 resolution: (539) {G1,W3,D2,L1,V0,M1} { unequally_directed_lines( skol6,
% 0.78/1.16 skol1 ) }.
% 0.78/1.16 parent0[1]: (13) {G0,W6,D2,L2,V2,M1} I { unequally_directed_lines( X, Y ),
% 0.78/1.16 ! convergent_lines( X, Y ) }.
% 0.78/1.16 parent1[0]: (72) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol6, skol1 )
% 0.78/1.16 }.
% 0.78/1.16 substitution0:
% 0.78/1.16 X := skol6
% 0.78/1.16 Y := skol1
% 0.78/1.16 end
% 0.78/1.16 substitution1:
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 subsumption: (91) {G1,W3,D2,L1,V0,M1} R(13,72) { unequally_directed_lines(
% 0.78/1.16 skol6, skol1 ) }.
% 0.78/1.16 parent0: (539) {G1,W3,D2,L1,V0,M1} { unequally_directed_lines( skol6,
% 0.78/1.16 skol1 ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 end
% 0.78/1.16 permutation0:
% 0.78/1.16 0 ==> 0
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 resolution: (540) {G1,W3,D2,L1,V0,M1} { unequally_directed_lines( skol6,
% 0.78/1.16 skol2 ) }.
% 0.78/1.16 parent0[1]: (13) {G0,W6,D2,L2,V2,M1} I { unequally_directed_lines( X, Y ),
% 0.78/1.16 ! convergent_lines( X, Y ) }.
% 0.78/1.16 parent1[0]: (74) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol6, skol2 )
% 0.78/1.16 }.
% 0.78/1.16 substitution0:
% 0.78/1.16 X := skol6
% 0.78/1.16 Y := skol2
% 0.78/1.16 end
% 0.78/1.16 substitution1:
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 subsumption: (92) {G1,W3,D2,L1,V0,M1} R(13,74) { unequally_directed_lines(
% 0.78/1.16 skol6, skol2 ) }.
% 0.78/1.16 parent0: (540) {G1,W3,D2,L1,V0,M1} { unequally_directed_lines( skol6,
% 0.78/1.16 skol2 ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 end
% 0.78/1.16 permutation0:
% 0.78/1.16 0 ==> 0
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 resolution: (541) {G1,W3,D2,L1,V0,M1} { unequally_directed_lines( skol1,
% 0.78/1.16 skol2 ) }.
% 0.78/1.16 parent0[1]: (13) {G0,W6,D2,L2,V2,M1} I { unequally_directed_lines( X, Y ),
% 0.78/1.16 ! convergent_lines( X, Y ) }.
% 0.78/1.16 parent1[0]: (75) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 0.78/1.16 }.
% 0.78/1.16 substitution0:
% 0.78/1.16 X := skol1
% 0.78/1.16 Y := skol2
% 0.78/1.16 end
% 0.78/1.16 substitution1:
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 subsumption: (93) {G1,W3,D2,L1,V0,M1} R(13,75) { unequally_directed_lines(
% 0.78/1.16 skol1, skol2 ) }.
% 0.78/1.16 parent0: (541) {G1,W3,D2,L1,V0,M1} { unequally_directed_lines( skol1,
% 0.78/1.16 skol2 ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 end
% 0.78/1.16 permutation0:
% 0.78/1.16 0 ==> 0
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 resolution: (542) {G1,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, X )
% 0.78/1.16 }.
% 0.78/1.16 parent0[1]: (6) {G0,W6,D2,L2,V2,M1} I { ! unequally_directed_lines( X, Y )
% 0.78/1.16 , ! equally_directed_lines( X, Y ) }.
% 0.78/1.16 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { equally_directed_lines( X, X ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 X := X
% 0.78/1.16 Y := X
% 0.78/1.16 end
% 0.78/1.16 substitution1:
% 0.78/1.16 X := X
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 subsumption: (95) {G1,W3,D2,L1,V1,M1} R(6,47) { ! unequally_directed_lines
% 0.78/1.16 ( X, X ) }.
% 0.78/1.16 parent0: (542) {G1,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, X )
% 0.78/1.16 }.
% 0.78/1.16 substitution0:
% 0.78/1.16 X := X
% 0.78/1.16 end
% 0.78/1.16 permutation0:
% 0.78/1.16 0 ==> 0
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 resolution: (543) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X ),
% 0.78/1.16 ! unequally_directed_lines( X, Y ) }.
% 0.78/1.16 parent0[0]: (95) {G1,W3,D2,L1,V1,M1} R(6,47) { ! unequally_directed_lines(
% 0.78/1.16 X, X ) }.
% 0.78/1.16 parent1[0]: (48) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.78/1.16 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 X := X
% 0.78/1.16 end
% 0.78/1.16 substitution1:
% 0.78/1.16 X := X
% 0.78/1.16 Y := Y
% 0.78/1.16 Z := X
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 subsumption: (144) {G2,W6,D2,L2,V2,M2} R(48,95) { !
% 0.78/1.16 unequally_directed_lines( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.78/1.16 parent0: (543) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X ), !
% 0.78/1.16 unequally_directed_lines( X, Y ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 X := Y
% 0.78/1.16 Y := X
% 0.78/1.16 end
% 0.78/1.16 permutation0:
% 0.78/1.16 0 ==> 1
% 0.78/1.16 1 ==> 0
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 resolution: (545) {G1,W6,D2,L2,V1,M2} { unequally_directed_lines( skol1, X
% 0.78/1.16 ), unequally_directed_lines( skol2, X ) }.
% 0.78/1.16 parent0[2]: (48) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.78/1.16 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.78/1.16 parent1[0]: (93) {G1,W3,D2,L1,V0,M1} R(13,75) { unequally_directed_lines(
% 0.78/1.16 skol1, skol2 ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 X := skol1
% 0.78/1.16 Y := skol2
% 0.78/1.16 Z := X
% 0.78/1.16 end
% 0.78/1.16 substitution1:
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 subsumption: (145) {G2,W6,D2,L2,V1,M1} R(48,93) { unequally_directed_lines
% 0.78/1.16 ( skol1, X ), unequally_directed_lines( skol2, X ) }.
% 0.78/1.16 parent0: (545) {G1,W6,D2,L2,V1,M2} { unequally_directed_lines( skol1, X )
% 0.78/1.16 , unequally_directed_lines( skol2, X ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 X := X
% 0.78/1.16 end
% 0.78/1.16 permutation0:
% 0.78/1.16 0 ==> 0
% 0.78/1.16 1 ==> 1
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 resolution: (546) {G2,W3,D2,L1,V0,M1} { unequally_directed_lines( skol2,
% 0.78/1.16 skol6 ) }.
% 0.78/1.16 parent0[0]: (144) {G2,W6,D2,L2,V2,M2} R(48,95) { ! unequally_directed_lines
% 0.78/1.16 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.78/1.16 parent1[0]: (92) {G1,W3,D2,L1,V0,M1} R(13,74) { unequally_directed_lines(
% 0.78/1.16 skol6, skol2 ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 X := skol2
% 0.78/1.16 Y := skol6
% 0.78/1.16 end
% 0.78/1.16 substitution1:
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 subsumption: (161) {G3,W3,D2,L1,V0,M1} R(144,92) { unequally_directed_lines
% 0.78/1.16 ( skol2, skol6 ) }.
% 0.78/1.16 parent0: (546) {G2,W3,D2,L1,V0,M1} { unequally_directed_lines( skol2,
% 0.78/1.16 skol6 ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 end
% 0.78/1.16 permutation0:
% 0.78/1.16 0 ==> 0
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 resolution: (547) {G2,W3,D2,L1,V0,M1} { unequally_directed_lines( skol1,
% 0.78/1.16 skol6 ) }.
% 0.78/1.16 parent0[0]: (144) {G2,W6,D2,L2,V2,M2} R(48,95) { ! unequally_directed_lines
% 0.78/1.16 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.78/1.16 parent1[0]: (91) {G1,W3,D2,L1,V0,M1} R(13,72) { unequally_directed_lines(
% 0.78/1.16 skol6, skol1 ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 X := skol1
% 0.78/1.16 Y := skol6
% 0.78/1.16 end
% 0.78/1.16 substitution1:
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 subsumption: (162) {G3,W3,D2,L1,V0,M1} R(144,91) { unequally_directed_lines
% 0.78/1.16 ( skol1, skol6 ) }.
% 0.78/1.16 parent0: (547) {G2,W3,D2,L1,V0,M1} { unequally_directed_lines( skol1,
% 0.78/1.16 skol6 ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 end
% 0.78/1.16 permutation0:
% 0.78/1.16 0 ==> 0
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 resolution: (549) {G3,W6,D2,L2,V1,M2} { unequally_directed_lines( X, skol2
% 0.78/1.16 ), unequally_directed_lines( skol1, X ) }.
% 0.78/1.16 parent0[0]: (144) {G2,W6,D2,L2,V2,M2} R(48,95) { ! unequally_directed_lines
% 0.78/1.16 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.78/1.16 parent1[1]: (145) {G2,W6,D2,L2,V1,M1} R(48,93) { unequally_directed_lines(
% 0.78/1.16 skol1, X ), unequally_directed_lines( skol2, X ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 X := X
% 0.78/1.16 Y := skol2
% 0.78/1.16 end
% 0.78/1.16 substitution1:
% 0.78/1.16 X := X
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 subsumption: (172) {G3,W6,D2,L2,V1,M2} R(145,144) {
% 0.78/1.16 unequally_directed_lines( X, skol2 ), unequally_directed_lines( skol1, X
% 0.78/1.16 ) }.
% 0.78/1.16 parent0: (549) {G3,W6,D2,L2,V1,M2} { unequally_directed_lines( X, skol2 )
% 0.78/1.16 , unequally_directed_lines( skol1, X ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 X := X
% 0.78/1.16 end
% 0.78/1.16 permutation0:
% 0.78/1.16 0 ==> 0
% 0.78/1.16 1 ==> 1
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 resolution: (550) {G1,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y
% 0.78/1.16 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.78/1.16 left_convergent_lines( X, Y ) }.
% 0.78/1.16 parent0[0]: (57) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.78/1.16 }.
% 0.78/1.16 parent1[2]: (55) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y
% 0.78/1.16 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.78/1.16 left_convergent_lines( X, reverse_line( Y ) ), left_convergent_lines( X,
% 0.78/1.16 Y ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 X := X
% 0.78/1.16 Y := reverse_line( Y )
% 0.78/1.16 end
% 0.78/1.16 substitution1:
% 0.78/1.16 X := X
% 0.78/1.16 Y := Y
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 resolution: (552) {G1,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, Y )
% 0.78/1.16 , ! unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.78/1.16 parent0[0]: (57) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.78/1.16 }.
% 0.78/1.16 parent1[2]: (550) {G1,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y
% 0.78/1.16 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.78/1.16 left_convergent_lines( X, Y ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 X := X
% 0.78/1.16 Y := Y
% 0.78/1.16 end
% 0.78/1.16 substitution1:
% 0.78/1.16 X := X
% 0.78/1.16 Y := Y
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 subsumption: (257) {G1,W7,D3,L2,V2,M2} S(55);r(57);r(57) { !
% 0.78/1.16 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.78/1.16 unequally_directed_lines( X, Y ) }.
% 0.78/1.16 parent0: (552) {G1,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, Y ), !
% 0.78/1.16 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 X := X
% 0.78/1.16 Y := Y
% 0.78/1.16 end
% 0.78/1.16 permutation0:
% 0.78/1.16 0 ==> 1
% 0.78/1.16 1 ==> 0
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 resolution: (553) {G2,W4,D3,L1,V0,M1} { ! unequally_directed_lines( skol1
% 0.78/1.16 , reverse_line( skol6 ) ) }.
% 0.78/1.16 parent0[1]: (257) {G1,W7,D3,L2,V2,M2} S(55);r(57);r(57) { !
% 0.78/1.16 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.78/1.16 unequally_directed_lines( X, Y ) }.
% 0.78/1.16 parent1[0]: (162) {G3,W3,D2,L1,V0,M1} R(144,91) { unequally_directed_lines
% 0.78/1.16 ( skol1, skol6 ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 X := skol1
% 0.78/1.16 Y := skol6
% 0.78/1.16 end
% 0.78/1.16 substitution1:
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 subsumption: (304) {G4,W4,D3,L1,V0,M1} R(257,162) { !
% 0.78/1.16 unequally_directed_lines( skol1, reverse_line( skol6 ) ) }.
% 0.78/1.16 parent0: (553) {G2,W4,D3,L1,V0,M1} { ! unequally_directed_lines( skol1,
% 0.78/1.16 reverse_line( skol6 ) ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 end
% 0.78/1.16 permutation0:
% 0.78/1.16 0 ==> 0
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 resolution: (554) {G2,W4,D3,L1,V0,M1} { ! unequally_directed_lines( skol2
% 0.78/1.16 , reverse_line( skol6 ) ) }.
% 0.78/1.16 parent0[1]: (257) {G1,W7,D3,L2,V2,M2} S(55);r(57);r(57) { !
% 0.78/1.16 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.78/1.16 unequally_directed_lines( X, Y ) }.
% 0.78/1.16 parent1[0]: (161) {G3,W3,D2,L1,V0,M1} R(144,92) { unequally_directed_lines
% 0.78/1.16 ( skol2, skol6 ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 X := skol2
% 0.78/1.16 Y := skol6
% 0.78/1.16 end
% 0.78/1.16 substitution1:
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 subsumption: (305) {G4,W4,D3,L1,V0,M1} R(257,161) { !
% 0.78/1.16 unequally_directed_lines( skol2, reverse_line( skol6 ) ) }.
% 0.78/1.16 parent0: (554) {G2,W4,D3,L1,V0,M1} { ! unequally_directed_lines( skol2,
% 0.78/1.16 reverse_line( skol6 ) ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 end
% 0.78/1.16 permutation0:
% 0.78/1.16 0 ==> 0
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 resolution: (555) {G4,W4,D3,L1,V0,M1} { unequally_directed_lines(
% 0.78/1.16 reverse_line( skol6 ), skol2 ) }.
% 0.78/1.16 parent0[0]: (304) {G4,W4,D3,L1,V0,M1} R(257,162) { !
% 0.78/1.16 unequally_directed_lines( skol1, reverse_line( skol6 ) ) }.
% 0.78/1.16 parent1[1]: (172) {G3,W6,D2,L2,V1,M2} R(145,144) { unequally_directed_lines
% 0.78/1.16 ( X, skol2 ), unequally_directed_lines( skol1, X ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 end
% 0.78/1.16 substitution1:
% 0.78/1.16 X := reverse_line( skol6 )
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 subsumption: (326) {G5,W4,D3,L1,V0,M1} R(304,172) {
% 0.78/1.16 unequally_directed_lines( reverse_line( skol6 ), skol2 ) }.
% 0.78/1.16 parent0: (555) {G4,W4,D3,L1,V0,M1} { unequally_directed_lines(
% 0.78/1.16 reverse_line( skol6 ), skol2 ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 end
% 0.78/1.16 permutation0:
% 0.78/1.16 0 ==> 0
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 *** allocated 33750 integers for clauses
% 0.78/1.16 resolution: (556) {G3,W4,D3,L1,V0,M1} { unequally_directed_lines( skol2,
% 0.78/1.16 reverse_line( skol6 ) ) }.
% 0.78/1.16 parent0[0]: (144) {G2,W6,D2,L2,V2,M2} R(48,95) { ! unequally_directed_lines
% 0.78/1.16 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.78/1.16 parent1[0]: (326) {G5,W4,D3,L1,V0,M1} R(304,172) { unequally_directed_lines
% 0.78/1.16 ( reverse_line( skol6 ), skol2 ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 X := skol2
% 0.78/1.16 Y := reverse_line( skol6 )
% 0.78/1.16 end
% 0.78/1.16 substitution1:
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 resolution: (557) {G4,W0,D0,L0,V0,M0} { }.
% 0.78/1.16 parent0[0]: (305) {G4,W4,D3,L1,V0,M1} R(257,161) { !
% 0.78/1.16 unequally_directed_lines( skol2, reverse_line( skol6 ) ) }.
% 0.78/1.16 parent1[0]: (556) {G3,W4,D3,L1,V0,M1} { unequally_directed_lines( skol2,
% 0.78/1.16 reverse_line( skol6 ) ) }.
% 0.78/1.16 substitution0:
% 0.78/1.16 end
% 0.78/1.16 substitution1:
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 subsumption: (335) {G6,W0,D0,L0,V0,M0} R(326,144);r(305) { }.
% 0.78/1.16 parent0: (557) {G4,W0,D0,L0,V0,M0} { }.
% 0.78/1.16 substitution0:
% 0.78/1.16 end
% 0.78/1.16 permutation0:
% 0.78/1.16 end
% 0.78/1.16
% 0.78/1.16 Proof check complete!
% 0.78/1.16
% 0.78/1.16 Memory use:
% 0.78/1.16
% 0.78/1.16 space for terms: 4536
% 0.78/1.16 space for clauses: 17442
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 clauses generated: 661
% 0.78/1.16 clauses kept: 336
% 0.78/1.16 clauses selected: 134
% 0.78/1.16 clauses deleted: 21
% 0.78/1.16 clauses inuse deleted: 0
% 0.78/1.16
% 0.78/1.16 subsentry: 2255
% 0.78/1.16 literals s-matched: 1404
% 0.78/1.16 literals matched: 1254
% 0.78/1.16 full subsumption: 388
% 0.78/1.16
% 0.78/1.16 checksum: -1588040404
% 0.78/1.16
% 0.78/1.16
% 0.78/1.16 Bliksem ended
%------------------------------------------------------------------------------