TSTP Solution File: GEO261+3 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO261+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:53:23 EDT 2022
% Result : Theorem 0.76s 1.17s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO261+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14 % Command : bliksem %s
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Sat Jun 18 18:31:39 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.76/1.16 *** allocated 10000 integers for termspace/termends
% 0.76/1.16 *** allocated 10000 integers for clauses
% 0.76/1.16 *** allocated 10000 integers for justifications
% 0.76/1.16 Bliksem 1.12
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 Automatic Strategy Selection
% 0.76/1.16
% 0.76/1.16
% 0.76/1.16 Clauses:
% 0.76/1.16
% 0.76/1.16 { ! unequally_directed_opposite_lines( X, Y ), unequally_directed_lines( X
% 0.76/1.16 , reverse_line( Y ) ) }.
% 0.76/1.16 { ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.76/1.16 unequally_directed_opposite_lines( X, Y ) }.
% 0.76/1.16 { ! right_apart_point( X, Y ), left_apart_point( X, reverse_line( Y ) ) }.
% 0.76/1.16 { ! left_apart_point( X, reverse_line( Y ) ), right_apart_point( X, Y ) }.
% 0.76/1.16 { ! right_convergent_lines( X, Y ), left_convergent_lines( X, reverse_line
% 0.76/1.16 ( Y ) ) }.
% 0.76/1.16 { ! left_convergent_lines( X, reverse_line( Y ) ), right_convergent_lines(
% 0.76/1.16 X, Y ) }.
% 0.76/1.16 { ! equally_directed_lines( X, Y ), ! unequally_directed_lines( X, Y ) }.
% 0.76/1.16 { unequally_directed_lines( X, Y ), equally_directed_lines( X, Y ) }.
% 0.76/1.16 { ! equally_directed_opposite_lines( X, Y ), !
% 0.76/1.16 unequally_directed_opposite_lines( X, Y ) }.
% 0.76/1.16 { unequally_directed_opposite_lines( X, Y ),
% 0.76/1.16 equally_directed_opposite_lines( X, Y ) }.
% 0.76/1.16 { ! apart_point_and_line( X, Y ), left_apart_point( X, Y ),
% 0.76/1.16 right_apart_point( X, Y ) }.
% 0.76/1.16 { ! left_apart_point( X, Y ), apart_point_and_line( X, Y ) }.
% 0.76/1.16 { ! right_apart_point( X, Y ), apart_point_and_line( X, Y ) }.
% 0.76/1.16 { ! convergent_lines( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.76/1.16 { ! convergent_lines( X, Y ), unequally_directed_opposite_lines( X, Y ) }.
% 0.76/1.16 { ! unequally_directed_lines( X, Y ), ! unequally_directed_opposite_lines(
% 0.76/1.16 X, Y ), convergent_lines( X, Y ) }.
% 0.76/1.16 { ! divides_points( Z, X, Y ), alpha1( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.76/1.16 { ! alpha1( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.76/1.16 { ! alpha4( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.76/1.16 { ! alpha4( X, Y, Z ), right_apart_point( X, Z ) }.
% 0.76/1.16 { ! alpha4( X, Y, Z ), left_apart_point( Y, Z ) }.
% 0.76/1.16 { ! right_apart_point( X, Z ), ! left_apart_point( Y, Z ), alpha4( X, Y, Z
% 0.76/1.16 ) }.
% 0.76/1.16 { ! alpha1( X, Y, Z ), left_apart_point( X, Z ) }.
% 0.76/1.16 { ! alpha1( X, Y, Z ), right_apart_point( Y, Z ) }.
% 0.76/1.16 { ! left_apart_point( X, Z ), ! right_apart_point( Y, Z ), alpha1( X, Y, Z
% 0.76/1.16 ) }.
% 0.76/1.16 { ! before_on_line( X, Y, Z ), distinct_points( Y, Z ) }.
% 0.76/1.16 { ! before_on_line( X, Y, Z ), alpha2( X, Y, Z ) }.
% 0.76/1.16 { ! distinct_points( Y, Z ), ! alpha2( X, Y, Z ), before_on_line( X, Y, Z )
% 0.76/1.16 }.
% 0.76/1.16 { ! alpha2( X, Y, Z ), incident_point_and_line( Y, X ) }.
% 0.76/1.16 { ! alpha2( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.76/1.16 { ! incident_point_and_line( Y, X ), ! alpha5( X, Y, Z ), alpha2( X, Y, Z )
% 0.76/1.16 }.
% 0.76/1.16 { ! alpha5( X, Y, Z ), incident_point_and_line( Z, X ) }.
% 0.76/1.16 { ! alpha5( X, Y, Z ), equally_directed_lines( X, line_connecting( Y, Z ) )
% 0.76/1.16 }.
% 0.76/1.16 { ! incident_point_and_line( Z, X ), ! equally_directed_lines( X,
% 0.76/1.16 line_connecting( Y, Z ) ), alpha5( X, Y, Z ) }.
% 0.76/1.16 { ! between_on_line( X, Y, Z, T ), alpha3( X, Y, Z, T ), alpha6( X, Y, Z, T
% 0.76/1.16 ) }.
% 0.76/1.16 { ! alpha3( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.76/1.16 { ! alpha6( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.76/1.16 { ! alpha6( X, Y, Z, T ), before_on_line( X, T, Z ) }.
% 0.76/1.16 { ! alpha6( X, Y, Z, T ), before_on_line( X, Z, Y ) }.
% 0.76/1.16 { ! before_on_line( X, T, Z ), ! before_on_line( X, Z, Y ), alpha6( X, Y, Z
% 0.76/1.16 , T ) }.
% 0.76/1.16 { ! alpha3( X, Y, Z, T ), before_on_line( X, Y, Z ) }.
% 0.76/1.16 { ! alpha3( X, Y, Z, T ), before_on_line( X, Z, T ) }.
% 0.76/1.16 { ! before_on_line( X, Y, Z ), ! before_on_line( X, Z, T ), alpha3( X, Y, Z
% 0.76/1.16 , T ) }.
% 0.76/1.16 { ! distinct_points( X, X ) }.
% 0.76/1.16 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.76/1.16 ) }.
% 0.76/1.16 { ! distinct_lines( X, X ) }.
% 0.76/1.16 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.76/1.16 }.
% 0.76/1.16 { equally_directed_lines( X, X ) }.
% 0.76/1.16 { ! unequally_directed_lines( X, Y ), unequally_directed_lines( X, Z ),
% 0.76/1.16 unequally_directed_lines( Y, Z ) }.
% 0.76/1.16 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.76/1.16 reverse_line( Y ) ), alpha7( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.76/1.16 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.76/1.16 reverse_line( Y ) ), alpha7( X, Z ), unequally_directed_lines( Y,
% 0.76/1.16 reverse_line( Z ) ) }.
% 0.76/1.16 { ! alpha7( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.76/1.16 { ! alpha7( X, Y ), unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.76/1.17 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.76/1.17 reverse_line( Y ) ), alpha7( X, Y ) }.
% 0.76/1.17 { unequally_directed_lines( X, Y ), unequally_directed_lines( X,
% 0.76/1.17 reverse_line( Y ) ) }.
% 0.76/1.17 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.76/1.17 reverse_line( Y ) ), left_convergent_lines( X, Y ), left_convergent_lines
% 0.76/1.17 ( X, reverse_line( Y ) ) }.
% 0.76/1.17 { ! left_apart_point( X, Y ) }.
% 0.76/1.17 { ! left_apart_point( X, reverse_line( Y ) ) }.
% 0.76/1.17 { ! left_convergent_lines( X, Y ) }.
% 0.76/1.17 { ! left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.76/1.17 { ! point( X ), ! point( Y ), ! distinct_points( X, Y ), line(
% 0.76/1.17 line_connecting( X, Y ) ) }.
% 0.76/1.17 { ! line( X ), ! line( Y ), ! unequally_directed_lines( X, Y ), !
% 0.76/1.17 unequally_directed_lines( X, reverse_line( Y ) ), point(
% 0.76/1.17 intersection_point( X, Y ) ) }.
% 0.76/1.17 { ! point( Y ), ! line( X ), line( parallel_through_point( X, Y ) ) }.
% 0.76/1.17 { ! line( X ), line( reverse_line( X ) ) }.
% 0.76/1.17 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 0.76/1.17 , Y ) ) }.
% 0.76/1.17 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 0.76/1.17 , Y ) ) }.
% 0.76/1.17 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.76/1.17 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 0.76/1.17 X ) }.
% 0.76/1.17 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.76/1.17 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 0.76/1.17 Y ) }.
% 0.76/1.17 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 0.76/1.17 { ! distinct_lines( X, reverse_line( X ) ) }.
% 0.76/1.17 { ! distinct_points( X, Y ), equally_directed_lines( line_connecting( X, Y
% 0.76/1.17 ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.76/1.17 { equally_directed_lines( parallel_through_point( Y, X ), Y ) }.
% 0.76/1.17 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), left_apart_point( X
% 0.76/1.17 , Z ), left_apart_point( Y, Z ), left_apart_point( X, T ),
% 0.76/1.17 left_apart_point( Y, T ), left_apart_point( X, reverse_line( Z ) ),
% 0.76/1.17 left_apart_point( Y, reverse_line( Z ) ), left_apart_point( X,
% 0.76/1.17 reverse_line( T ) ), left_apart_point( Y, reverse_line( T ) ) }.
% 0.76/1.17 { ! distinct_points( X, Y ), ! left_apart_point( X, Z ), left_apart_point(
% 0.76/1.17 Y, Z ), left_convergent_lines( line_connecting( X, Y ), Z ) }.
% 0.76/1.17 { ! left_apart_point( X, Y ), distinct_points( X, Z ), left_apart_point( Z
% 0.76/1.17 , Y ) }.
% 0.76/1.17 { ! left_apart_point( X, Y ), ! unequally_directed_lines( Y, Z ),
% 0.76/1.17 distinct_lines( Y, Z ), left_apart_point( X, reverse_line( Z ) ) }.
% 0.76/1.17 { ! left_convergent_lines( X, Y ), unequally_directed_lines( Y, Z ),
% 0.76/1.17 left_convergent_lines( X, Z ) }.
% 0.76/1.17 { between_on_line( skol4, skol2, skol5, skol3 ) }.
% 0.76/1.17 { convergent_lines( skol4, skol1 ) }.
% 0.76/1.17 { incident_point_and_line( skol5, skol1 ) }.
% 0.76/1.17 { ! divides_points( skol1, skol2, skol3 ) }.
% 0.76/1.17
% 0.76/1.17 percentage equality = 0.000000, percentage horn = 0.826667
% 0.76/1.17 This a non-horn, non-equality problem
% 0.76/1.17
% 0.76/1.17
% 0.76/1.17 Options Used:
% 0.76/1.17
% 0.76/1.17 useres = 1
% 0.76/1.17 useparamod = 0
% 0.76/1.17 useeqrefl = 0
% 0.76/1.17 useeqfact = 0
% 0.76/1.17 usefactor = 1
% 0.76/1.17 usesimpsplitting = 0
% 0.76/1.17 usesimpdemod = 0
% 0.76/1.17 usesimpres = 3
% 0.76/1.17
% 0.76/1.17 resimpinuse = 1000
% 0.76/1.17 resimpclauses = 20000
% 0.76/1.17 substype = standard
% 0.76/1.17 backwardsubs = 1
% 0.76/1.17 selectoldest = 5
% 0.76/1.17
% 0.76/1.17 litorderings [0] = split
% 0.76/1.17 litorderings [1] = liftord
% 0.76/1.17
% 0.76/1.17 termordering = none
% 0.76/1.17
% 0.76/1.17 litapriori = 1
% 0.76/1.17 termapriori = 0
% 0.76/1.17 litaposteriori = 0
% 0.76/1.17 termaposteriori = 0
% 0.76/1.17 demodaposteriori = 0
% 0.76/1.17 ordereqreflfact = 0
% 0.76/1.17
% 0.76/1.17 litselect = none
% 0.76/1.17
% 0.76/1.17 maxweight = 15
% 0.76/1.17 maxdepth = 30000
% 0.76/1.17 maxlength = 115
% 0.76/1.17 maxnrvars = 195
% 0.76/1.17 excuselevel = 1
% 0.76/1.17 increasemaxweight = 1
% 0.76/1.17
% 0.76/1.17 maxselected = 10000000
% 0.76/1.17 maxnrclauses = 10000000
% 0.76/1.17
% 0.76/1.17 showgenerated = 0
% 0.76/1.17 showkept = 0
% 0.76/1.17 showselected = 0
% 0.76/1.17 showdeleted = 0
% 0.76/1.17 showresimp = 1
% 0.76/1.17 showstatus = 2000
% 0.76/1.17
% 0.76/1.17 prologoutput = 0
% 0.76/1.17 nrgoals = 5000000
% 0.76/1.17 totalproof = 1
% 0.76/1.17
% 0.76/1.17 Symbols occurring in the translation:
% 0.76/1.17
% 0.76/1.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.76/1.17 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 0.76/1.17 ! [4, 1] (w:0, o:19, a:1, s:1, b:0),
% 0.76/1.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.76/1.17 unequally_directed_opposite_lines [37, 2] (w:1, o:51, a:1, s:1, b:0)
% 0.76/1.17 ,
% 0.76/1.17 reverse_line [38, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.76/1.17 unequally_directed_lines [39, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.76/1.17 right_apart_point [40, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.76/1.17 left_apart_point [41, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.76/1.17 right_convergent_lines [42, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.76/1.17 left_convergent_lines [43, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.76/1.17 equally_directed_lines [44, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.76/1.17 equally_directed_opposite_lines [45, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.76/1.17 apart_point_and_line [48, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.76/1.17 convergent_lines [50, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.76/1.17 divides_points [52, 3] (w:1, o:68, a:1, s:1, b:0),
% 0.76/1.17 before_on_line [53, 3] (w:1, o:73, a:1, s:1, b:0),
% 0.76/1.17 distinct_points [54, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.76/1.17 incident_point_and_line [55, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.76/1.17 line_connecting [56, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.76/1.17 between_on_line [58, 4] (w:1, o:76, a:1, s:1, b:0),
% 0.76/1.17 distinct_lines [59, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.76/1.17 point [61, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.76/1.17 line [62, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.76/1.17 intersection_point [63, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.76/1.17 parallel_through_point [64, 2] (w:1, o:66, a:1, s:1, b:0),
% 0.76/1.17 alpha1 [65, 3] (w:1, o:69, a:1, s:1, b:0),
% 0.76/1.17 alpha2 [66, 3] (w:1, o:70, a:1, s:1, b:0),
% 0.76/1.17 alpha3 [67, 4] (w:1, o:74, a:1, s:1, b:0),
% 0.76/1.17 alpha4 [68, 3] (w:1, o:71, a:1, s:1, b:0),
% 0.76/1.17 alpha5 [69, 3] (w:1, o:72, a:1, s:1, b:0),
% 0.76/1.17 alpha6 [70, 4] (w:1, o:75, a:1, s:1, b:0),
% 0.76/1.17 alpha7 [71, 2] (w:1, o:67, a:1, s:1, b:0),
% 0.76/1.17 skol1 [72, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.76/1.17 skol2 [73, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.76/1.17 skol3 [74, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.76/1.17 skol4 [75, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.76/1.17 skol5 [76, 0] (w:1, o:18, a:1, s:1, b:0).
% 0.76/1.17
% 0.76/1.17
% 0.76/1.17 Starting Search:
% 0.76/1.17
% 0.76/1.17 *** allocated 15000 integers for clauses
% 0.76/1.17 *** allocated 22500 integers for clauses
% 0.76/1.17
% 0.76/1.17 Bliksems!, er is een bewijs:
% 0.76/1.17 % SZS status Theorem
% 0.76/1.17 % SZS output start Refutation
% 0.76/1.17
% 0.76/1.17 (0) {G0,W7,D3,L2,V2,M1} I { ! unequally_directed_opposite_lines( X, Y ),
% 0.76/1.17 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.76/1.17 (13) {G0,W6,D2,L2,V2,M1} I { unequally_directed_lines( X, Y ), !
% 0.76/1.17 convergent_lines( X, Y ) }.
% 0.76/1.17 (14) {G0,W6,D2,L2,V2,M1} I { unequally_directed_opposite_lines( X, Y ), !
% 0.76/1.17 convergent_lines( X, Y ) }.
% 0.76/1.17 (55) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y ), !
% 0.76/1.17 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 0.76/1.17 X, reverse_line( Y ) ), left_convergent_lines( X, Y ) }.
% 0.76/1.17 (57) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y ) }.
% 0.76/1.17 (72) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol4, skol1 ) }.
% 0.76/1.17 (84) {G1,W3,D2,L1,V0,M1} R(14,72) { unequally_directed_opposite_lines(
% 0.76/1.17 skol4, skol1 ) }.
% 0.76/1.17 (85) {G1,W3,D2,L1,V0,M1} R(13,72) { unequally_directed_lines( skol4, skol1
% 0.76/1.17 ) }.
% 0.76/1.17 (254) {G1,W7,D3,L2,V2,M2} S(55);r(57);r(57) { ! unequally_directed_lines( X
% 0.76/1.17 , reverse_line( Y ) ), ! unequally_directed_lines( X, Y ) }.
% 0.76/1.17 (308) {G2,W4,D3,L1,V0,M1} R(254,85) { ! unequally_directed_lines( skol4,
% 0.76/1.17 reverse_line( skol1 ) ) }.
% 0.76/1.17 (332) {G3,W0,D0,L0,V0,M0} R(308,0);r(84) { }.
% 0.76/1.17
% 0.76/1.17
% 0.76/1.17 % SZS output end Refutation
% 0.76/1.17 found a proof!
% 0.76/1.17
% 0.76/1.17
% 0.76/1.17 Unprocessed initial clauses:
% 0.76/1.17
% 0.76/1.17 (334) {G0,W7,D3,L2,V2,M2} { ! unequally_directed_opposite_lines( X, Y ),
% 0.76/1.17 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.76/1.17 (335) {G0,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, reverse_line( Y
% 0.76/1.17 ) ), unequally_directed_opposite_lines( X, Y ) }.
% 0.76/1.17 (336) {G0,W7,D3,L2,V2,M2} { ! right_apart_point( X, Y ), left_apart_point
% 0.76/1.17 ( X, reverse_line( Y ) ) }.
% 0.76/1.17 (337) {G0,W7,D3,L2,V2,M2} { ! left_apart_point( X, reverse_line( Y ) ),
% 0.76/1.17 right_apart_point( X, Y ) }.
% 0.76/1.17 (338) {G0,W7,D3,L2,V2,M2} { ! right_convergent_lines( X, Y ),
% 0.76/1.17 left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.76/1.17 (339) {G0,W7,D3,L2,V2,M2} { ! left_convergent_lines( X, reverse_line( Y )
% 0.76/1.17 ), right_convergent_lines( X, Y ) }.
% 0.76/1.17 (340) {G0,W6,D2,L2,V2,M2} { ! equally_directed_lines( X, Y ), !
% 0.76/1.17 unequally_directed_lines( X, Y ) }.
% 0.76/1.17 (341) {G0,W6,D2,L2,V2,M2} { unequally_directed_lines( X, Y ),
% 0.76/1.17 equally_directed_lines( X, Y ) }.
% 0.76/1.17 (342) {G0,W6,D2,L2,V2,M2} { ! equally_directed_opposite_lines( X, Y ), !
% 0.76/1.17 unequally_directed_opposite_lines( X, Y ) }.
% 0.76/1.17 (343) {G0,W6,D2,L2,V2,M2} { unequally_directed_opposite_lines( X, Y ),
% 0.76/1.17 equally_directed_opposite_lines( X, Y ) }.
% 0.76/1.17 (344) {G0,W9,D2,L3,V2,M3} { ! apart_point_and_line( X, Y ),
% 0.76/1.17 left_apart_point( X, Y ), right_apart_point( X, Y ) }.
% 0.76/1.17 (345) {G0,W6,D2,L2,V2,M2} { ! left_apart_point( X, Y ),
% 0.76/1.17 apart_point_and_line( X, Y ) }.
% 0.76/1.17 (346) {G0,W6,D2,L2,V2,M2} { ! right_apart_point( X, Y ),
% 0.76/1.17 apart_point_and_line( X, Y ) }.
% 0.76/1.17 (347) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.76/1.17 unequally_directed_lines( X, Y ) }.
% 0.76/1.17 (348) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.76/1.17 unequally_directed_opposite_lines( X, Y ) }.
% 0.76/1.17 (349) {G0,W9,D2,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.76/1.17 unequally_directed_opposite_lines( X, Y ), convergent_lines( X, Y ) }.
% 0.76/1.17 (350) {G0,W12,D2,L3,V3,M3} { ! divides_points( Z, X, Y ), alpha1( X, Y, Z
% 0.76/1.17 ), alpha4( X, Y, Z ) }.
% 0.76/1.17 (351) {G0,W8,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), divides_points( Z, X, Y )
% 0.76/1.17 }.
% 0.76/1.17 (352) {G0,W8,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), divides_points( Z, X, Y )
% 0.76/1.17 }.
% 0.76/1.17 (353) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), right_apart_point( X, Z )
% 0.76/1.17 }.
% 0.76/1.17 (354) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), left_apart_point( Y, Z )
% 0.76/1.17 }.
% 0.76/1.17 (355) {G0,W10,D2,L3,V3,M3} { ! right_apart_point( X, Z ), !
% 0.76/1.17 left_apart_point( Y, Z ), alpha4( X, Y, Z ) }.
% 0.76/1.17 (356) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), left_apart_point( X, Z )
% 0.76/1.17 }.
% 0.76/1.17 (357) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), right_apart_point( Y, Z )
% 0.76/1.17 }.
% 0.76/1.17 (358) {G0,W10,D2,L3,V3,M3} { ! left_apart_point( X, Z ), !
% 0.76/1.17 right_apart_point( Y, Z ), alpha1( X, Y, Z ) }.
% 0.76/1.17 (359) {G0,W7,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), distinct_points(
% 0.76/1.17 Y, Z ) }.
% 0.76/1.17 (360) {G0,W8,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), alpha2( X, Y, Z )
% 0.76/1.17 }.
% 0.76/1.17 (361) {G0,W11,D2,L3,V3,M3} { ! distinct_points( Y, Z ), ! alpha2( X, Y, Z
% 0.76/1.17 ), before_on_line( X, Y, Z ) }.
% 0.76/1.17 (362) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), incident_point_and_line(
% 0.76/1.17 Y, X ) }.
% 0.76/1.17 (363) {G0,W8,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.76/1.17 (364) {G0,W11,D2,L3,V3,M3} { ! incident_point_and_line( Y, X ), ! alpha5(
% 0.76/1.17 X, Y, Z ), alpha2( X, Y, Z ) }.
% 0.76/1.17 (365) {G0,W7,D2,L2,V3,M2} { ! alpha5( X, Y, Z ), incident_point_and_line(
% 0.76/1.17 Z, X ) }.
% 0.76/1.17 (366) {G0,W9,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), equally_directed_lines( X
% 0.76/1.17 , line_connecting( Y, Z ) ) }.
% 0.76/1.17 (367) {G0,W12,D3,L3,V3,M3} { ! incident_point_and_line( Z, X ), !
% 0.76/1.17 equally_directed_lines( X, line_connecting( Y, Z ) ), alpha5( X, Y, Z )
% 0.76/1.17 }.
% 0.76/1.17 (368) {G0,W15,D2,L3,V4,M3} { ! between_on_line( X, Y, Z, T ), alpha3( X, Y
% 0.76/1.17 , Z, T ), alpha6( X, Y, Z, T ) }.
% 0.76/1.17 (369) {G0,W10,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), between_on_line( X, Y
% 0.76/1.17 , Z, T ) }.
% 0.76/1.17 (370) {G0,W10,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), between_on_line( X, Y
% 0.76/1.17 , Z, T ) }.
% 0.76/1.17 (371) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, T,
% 0.76/1.17 Z ) }.
% 0.76/1.17 (372) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, Z,
% 0.76/1.17 Y ) }.
% 0.76/1.17 (373) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, T, Z ), ! before_on_line
% 0.76/1.17 ( X, Z, Y ), alpha6( X, Y, Z, T ) }.
% 0.76/1.17 (374) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Y,
% 0.76/1.17 Z ) }.
% 0.76/1.17 (375) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Z,
% 0.76/1.17 T ) }.
% 0.76/1.17 (376) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, Y, Z ), ! before_on_line
% 0.76/1.17 ( X, Z, T ), alpha3( X, Y, Z, T ) }.
% 0.76/1.17 (377) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.76/1.17 (378) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.76/1.17 , Z ), distinct_points( Y, Z ) }.
% 0.76/1.17 (379) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.76/1.17 (380) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 0.76/1.17 ), distinct_lines( Y, Z ) }.
% 0.76/1.17 (381) {G0,W3,D2,L1,V1,M1} { equally_directed_lines( X, X ) }.
% 0.76/1.17 (382) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.76/1.17 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.76/1.17 (383) {G0,W13,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 0.76/1.17 unequally_directed_lines( X, reverse_line( Y ) ), alpha7( X, Z ),
% 0.76/1.17 unequally_directed_lines( Y, Z ) }.
% 0.76/1.17 (384) {G0,W14,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 0.76/1.17 unequally_directed_lines( X, reverse_line( Y ) ), alpha7( X, Z ),
% 0.76/1.17 unequally_directed_lines( Y, reverse_line( Z ) ) }.
% 0.76/1.17 (385) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), unequally_directed_lines( X
% 0.76/1.17 , Y ) }.
% 0.76/1.17 (386) {G0,W7,D3,L2,V2,M2} { ! alpha7( X, Y ), unequally_directed_lines( X
% 0.76/1.17 , reverse_line( Y ) ) }.
% 0.76/1.17 (387) {G0,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.76/1.17 unequally_directed_lines( X, reverse_line( Y ) ), alpha7( X, Y ) }.
% 0.76/1.17 (388) {G0,W7,D3,L2,V2,M2} { unequally_directed_lines( X, Y ),
% 0.76/1.17 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.76/1.17 (389) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y ), !
% 0.76/1.17 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 0.76/1.17 X, Y ), left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.76/1.17 (390) {G0,W3,D2,L1,V2,M1} { ! left_apart_point( X, Y ) }.
% 0.76/1.17 (391) {G0,W4,D3,L1,V2,M1} { ! left_apart_point( X, reverse_line( Y ) ) }.
% 0.76/1.17 (392) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 0.76/1.17 (393) {G0,W4,D3,L1,V2,M1} { ! left_convergent_lines( X, reverse_line( Y )
% 0.76/1.17 ) }.
% 0.76/1.17 (394) {G0,W11,D3,L4,V2,M4} { ! point( X ), ! point( Y ), ! distinct_points
% 0.76/1.17 ( X, Y ), line( line_connecting( X, Y ) ) }.
% 0.76/1.17 (395) {G0,W15,D3,L5,V2,M5} { ! line( X ), ! line( Y ), !
% 0.76/1.17 unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.76/1.17 reverse_line( Y ) ), point( intersection_point( X, Y ) ) }.
% 0.76/1.17 (396) {G0,W8,D3,L3,V2,M3} { ! point( Y ), ! line( X ), line(
% 0.76/1.17 parallel_through_point( X, Y ) ) }.
% 0.76/1.17 (397) {G0,W5,D3,L2,V1,M2} { ! line( X ), line( reverse_line( X ) ) }.
% 0.76/1.17 (398) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.76/1.17 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.76/1.17 (399) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.76/1.17 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.76/1.17 (400) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.76/1.17 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 0.76/1.17 ( intersection_point( X, Y ), X ) }.
% 0.76/1.17 (401) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.76/1.17 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 0.76/1.17 ( intersection_point( X, Y ), Y ) }.
% 0.76/1.17 (402) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 0.76/1.17 parallel_through_point( Y, X ) ) }.
% 0.76/1.17 (403) {G0,W4,D3,L1,V1,M1} { ! distinct_lines( X, reverse_line( X ) ) }.
% 0.76/1.17 (404) {G0,W11,D4,L2,V2,M2} { ! distinct_points( X, Y ),
% 0.76/1.17 equally_directed_lines( line_connecting( X, Y ), reverse_line(
% 0.76/1.17 line_connecting( Y, X ) ) ) }.
% 0.76/1.17 (405) {G0,W5,D3,L1,V2,M1} { equally_directed_lines( parallel_through_point
% 0.76/1.17 ( Y, X ), Y ) }.
% 0.76/1.17 (406) {G0,W34,D3,L10,V4,M10} { ! distinct_points( X, Y ), ! distinct_lines
% 0.76/1.17 ( Z, T ), left_apart_point( X, Z ), left_apart_point( Y, Z ),
% 0.76/1.17 left_apart_point( X, T ), left_apart_point( Y, T ), left_apart_point( X,
% 0.76/1.17 reverse_line( Z ) ), left_apart_point( Y, reverse_line( Z ) ),
% 0.76/1.17 left_apart_point( X, reverse_line( T ) ), left_apart_point( Y,
% 0.76/1.17 reverse_line( T ) ) }.
% 0.76/1.17 (407) {G0,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), ! left_apart_point
% 0.76/1.17 ( X, Z ), left_apart_point( Y, Z ), left_convergent_lines(
% 0.76/1.17 line_connecting( X, Y ), Z ) }.
% 0.76/1.17 (408) {G0,W9,D2,L3,V3,M3} { ! left_apart_point( X, Y ), distinct_points( X
% 0.76/1.17 , Z ), left_apart_point( Z, Y ) }.
% 0.76/1.17 (409) {G0,W13,D3,L4,V3,M4} { ! left_apart_point( X, Y ), !
% 0.76/1.17 unequally_directed_lines( Y, Z ), distinct_lines( Y, Z ),
% 0.76/1.17 left_apart_point( X, reverse_line( Z ) ) }.
% 0.76/1.17 (410) {G0,W9,D2,L3,V3,M3} { ! left_convergent_lines( X, Y ),
% 0.76/1.17 unequally_directed_lines( Y, Z ), left_convergent_lines( X, Z ) }.
% 0.76/1.17 (411) {G0,W5,D2,L1,V0,M1} { between_on_line( skol4, skol2, skol5, skol3 )
% 0.76/1.17 }.
% 0.76/1.17 (412) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol4, skol1 ) }.
% 0.76/1.17 (413) {G0,W3,D2,L1,V0,M1} { incident_point_and_line( skol5, skol1 ) }.
% 0.76/1.17 (414) {G0,W4,D2,L1,V0,M1} { ! divides_points( skol1, skol2, skol3 ) }.
% 0.76/1.17
% 0.76/1.17
% 0.76/1.17 Total Proof:
% 0.76/1.17
% 0.76/1.17 subsumption: (0) {G0,W7,D3,L2,V2,M1} I { !
% 0.76/1.17 unequally_directed_opposite_lines( X, Y ), unequally_directed_lines( X,
% 0.76/1.17 reverse_line( Y ) ) }.
% 0.76/1.17 parent0: (334) {G0,W7,D3,L2,V2,M2} { ! unequally_directed_opposite_lines(
% 0.76/1.17 X, Y ), unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.76/1.17 substitution0:
% 0.76/1.17 X := X
% 0.76/1.17 Y := Y
% 0.76/1.17 end
% 0.76/1.17 permutation0:
% 0.76/1.17 0 ==> 0
% 0.76/1.17 1 ==> 1
% 0.76/1.17 end
% 0.76/1.17
% 0.76/1.17 subsumption: (13) {G0,W6,D2,L2,V2,M1} I { unequally_directed_lines( X, Y )
% 0.76/1.17 , ! convergent_lines( X, Y ) }.
% 0.76/1.17 parent0: (347) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.76/1.17 unequally_directed_lines( X, Y ) }.
% 0.76/1.17 substitution0:
% 0.76/1.17 X := X
% 0.76/1.17 Y := Y
% 0.76/1.17 end
% 0.76/1.17 permutation0:
% 0.76/1.17 0 ==> 1
% 0.76/1.17 1 ==> 0
% 0.76/1.17 end
% 0.76/1.17
% 0.76/1.17 subsumption: (14) {G0,W6,D2,L2,V2,M1} I { unequally_directed_opposite_lines
% 0.76/1.17 ( X, Y ), ! convergent_lines( X, Y ) }.
% 0.76/1.17 parent0: (348) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.76/1.17 unequally_directed_opposite_lines( X, Y ) }.
% 0.76/1.17 substitution0:
% 0.76/1.17 X := X
% 0.76/1.17 Y := Y
% 0.76/1.17 end
% 0.76/1.17 permutation0:
% 0.76/1.17 0 ==> 1
% 0.76/1.17 1 ==> 0
% 0.76/1.17 end
% 0.76/1.17
% 0.76/1.17 subsumption: (55) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y
% 0.76/1.17 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.76/1.17 left_convergent_lines( X, reverse_line( Y ) ), left_convergent_lines( X,
% 0.76/1.17 Y ) }.
% 0.76/1.17 parent0: (389) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y ),
% 0.76/1.17 ! unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines
% 0.76/1.17 ( X, Y ), left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.76/1.17 substitution0:
% 0.76/1.17 X := X
% 0.76/1.17 Y := Y
% 0.76/1.17 end
% 0.76/1.17 permutation0:
% 0.76/1.17 0 ==> 0
% 0.76/1.17 1 ==> 1
% 0.76/1.17 2 ==> 3
% 0.76/1.17 3 ==> 2
% 0.76/1.17 end
% 0.76/1.17
% 0.76/1.17 subsumption: (57) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.76/1.17 }.
% 0.76/1.17 parent0: (392) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 0.76/1.17 substitution0:
% 0.76/1.17 X := X
% 0.76/1.17 Y := Y
% 0.76/1.17 end
% 0.76/1.17 permutation0:
% 0.76/1.17 0 ==> 0
% 0.76/1.17 end
% 0.76/1.17
% 0.76/1.17 subsumption: (72) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol4, skol1 )
% 0.76/1.17 }.
% 0.76/1.17 parent0: (412) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol4, skol1 ) }.
% 0.76/1.17 substitution0:
% 0.76/1.17 end
% 0.76/1.17 permutation0:
% 0.76/1.17 0 ==> 0
% 0.76/1.17 end
% 0.76/1.17
% 0.76/1.17 resolution: (458) {G1,W3,D2,L1,V0,M1} { unequally_directed_opposite_lines
% 0.76/1.17 ( skol4, skol1 ) }.
% 0.76/1.17 parent0[1]: (14) {G0,W6,D2,L2,V2,M1} I { unequally_directed_opposite_lines
% 0.76/1.17 ( X, Y ), ! convergent_lines( X, Y ) }.
% 0.76/1.17 parent1[0]: (72) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol4, skol1 )
% 0.76/1.17 }.
% 0.76/1.17 substitution0:
% 0.76/1.17 X := skol4
% 0.76/1.17 Y := skol1
% 0.76/1.17 end
% 0.76/1.17 substitution1:
% 0.76/1.17 end
% 0.76/1.17
% 0.76/1.17 subsumption: (84) {G1,W3,D2,L1,V0,M1} R(14,72) {
% 0.76/1.17 unequally_directed_opposite_lines( skol4, skol1 ) }.
% 0.76/1.17 parent0: (458) {G1,W3,D2,L1,V0,M1} { unequally_directed_opposite_lines(
% 0.76/1.17 skol4, skol1 ) }.
% 0.76/1.17 substitution0:
% 0.76/1.17 end
% 0.76/1.17 permutation0:
% 0.76/1.17 0 ==> 0
% 0.76/1.17 end
% 0.76/1.17
% 0.76/1.17 resolution: (459) {G1,W3,D2,L1,V0,M1} { unequally_directed_lines( skol4,
% 0.76/1.17 skol1 ) }.
% 0.76/1.17 parent0[1]: (13) {G0,W6,D2,L2,V2,M1} I { unequally_directed_lines( X, Y ),
% 0.76/1.17 ! convergent_lines( X, Y ) }.
% 0.76/1.17 parent1[0]: (72) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol4, skol1 )
% 0.76/1.17 }.
% 0.76/1.17 substitution0:
% 0.76/1.17 X := skol4
% 0.76/1.17 Y := skol1
% 0.76/1.17 end
% 0.76/1.17 substitution1:
% 0.76/1.17 end
% 0.76/1.17
% 0.76/1.17 subsumption: (85) {G1,W3,D2,L1,V0,M1} R(13,72) { unequally_directed_lines(
% 0.76/1.17 skol4, skol1 ) }.
% 0.76/1.17 parent0: (459) {G1,W3,D2,L1,V0,M1} { unequally_directed_lines( skol4,
% 0.76/1.17 skol1 ) }.
% 0.76/1.17 substitution0:
% 0.76/1.17 end
% 0.76/1.17 permutation0:
% 0.76/1.17 0 ==> 0
% 0.76/1.17 end
% 0.76/1.17
% 0.76/1.17 resolution: (460) {G1,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y
% 0.76/1.17 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.76/1.17 left_convergent_lines( X, Y ) }.
% 0.76/1.17 parent0[0]: (57) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.76/1.17 }.
% 0.76/1.17 parent1[2]: (55) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y
% 0.76/1.17 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.76/1.17 left_convergent_lines( X, reverse_line( Y ) ), left_convergent_lines( X,
% 0.76/1.17 Y ) }.
% 0.76/1.17 substitution0:
% 0.76/1.17 X := X
% 0.76/1.17 Y := reverse_line( Y )
% 0.76/1.17 end
% 0.76/1.17 substitution1:
% 0.76/1.17 X := X
% 0.76/1.17 Y := Y
% 0.76/1.17 end
% 0.76/1.17
% 0.76/1.17 resolution: (462) {G1,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, Y )
% 0.76/1.17 , ! unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.76/1.17 parent0[0]: (57) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.76/1.17 }.
% 0.76/1.17 parent1[2]: (460) {G1,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y
% 0.76/1.17 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.76/1.17 left_convergent_lines( X, Y ) }.
% 0.76/1.17 substitution0:
% 0.76/1.17 X := X
% 0.76/1.17 Y := Y
% 0.76/1.17 end
% 0.76/1.17 substitution1:
% 0.76/1.17 X := X
% 0.76/1.17 Y := Y
% 0.76/1.17 end
% 0.76/1.17
% 0.76/1.17 subsumption: (254) {G1,W7,D3,L2,V2,M2} S(55);r(57);r(57) { !
% 0.76/1.17 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.76/1.17 unequally_directed_lines( X, Y ) }.
% 0.76/1.17 parent0: (462) {G1,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, Y ), !
% 0.76/1.17 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.76/1.17 substitution0:
% 0.76/1.17 X := X
% 0.76/1.17 Y := Y
% 0.76/1.17 end
% 0.76/1.17 permutation0:
% 0.76/1.17 0 ==> 1
% 0.76/1.17 1 ==> 0
% 0.76/1.17 end
% 0.76/1.17
% 0.76/1.17 resolution: (463) {G2,W4,D3,L1,V0,M1} { ! unequally_directed_lines( skol4
% 0.76/1.17 , reverse_line( skol1 ) ) }.
% 0.76/1.17 parent0[1]: (254) {G1,W7,D3,L2,V2,M2} S(55);r(57);r(57) { !
% 0.76/1.17 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.76/1.17 unequally_directed_lines( X, Y ) }.
% 0.76/1.17 parent1[0]: (85) {G1,W3,D2,L1,V0,M1} R(13,72) { unequally_directed_lines(
% 0.76/1.17 skol4, skol1 ) }.
% 0.76/1.17 substitution0:
% 0.76/1.17 X := skol4
% 0.76/1.17 Y := skol1
% 0.76/1.17 end
% 0.76/1.17 substitution1:
% 0.76/1.17 end
% 0.76/1.17
% 0.76/1.17 subsumption: (308) {G2,W4,D3,L1,V0,M1} R(254,85) { !
% 0.76/1.17 unequally_directed_lines( skol4, reverse_line( skol1 ) ) }.
% 0.76/1.17 parent0: (463) {G2,W4,D3,L1,V0,M1} { ! unequally_directed_lines( skol4,
% 0.76/1.17 reverse_line( skol1 ) ) }.
% 0.76/1.17 substitution0:
% 0.76/1.17 end
% 0.76/1.17 permutation0:
% 0.76/1.17 0 ==> 0
% 0.76/1.17 end
% 0.76/1.17
% 0.76/1.17 resolution: (464) {G1,W3,D2,L1,V0,M1} { !
% 0.76/1.17 unequally_directed_opposite_lines( skol4, skol1 ) }.
% 0.76/1.17 parent0[0]: (308) {G2,W4,D3,L1,V0,M1} R(254,85) { !
% 0.76/1.17 unequally_directed_lines( skol4, reverse_line( skol1 ) ) }.
% 0.76/1.17 parent1[1]: (0) {G0,W7,D3,L2,V2,M1} I { ! unequally_directed_opposite_lines
% 0.76/1.17 ( X, Y ), unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.76/1.17 substitution0:
% 0.76/1.17 end
% 0.76/1.17 substitution1:
% 0.76/1.17 X := skol4
% 0.76/1.17 Y := skol1
% 0.76/1.17 end
% 0.76/1.17
% 0.76/1.17 resolution: (465) {G2,W0,D0,L0,V0,M0} { }.
% 0.76/1.17 parent0[0]: (464) {G1,W3,D2,L1,V0,M1} { !
% 0.76/1.17 unequally_directed_opposite_lines( skol4, skol1 ) }.
% 0.76/1.17 parent1[0]: (84) {G1,W3,D2,L1,V0,M1} R(14,72) {
% 0.76/1.17 unequally_directed_opposite_lines( skol4, skol1 ) }.
% 0.76/1.17 substitution0:
% 0.76/1.17 end
% 0.76/1.17 substitution1:
% 0.76/1.17 end
% 0.76/1.17
% 0.76/1.17 subsumption: (332) {G3,W0,D0,L0,V0,M0} R(308,0);r(84) { }.
% 0.76/1.17 parent0: (465) {G2,W0,D0,L0,V0,M0} { }.
% 0.76/1.17 substitution0:
% 0.76/1.17 end
% 0.76/1.17 permutation0:
% 0.76/1.17 end
% 0.76/1.17
% 0.76/1.17 Proof check complete!
% 0.76/1.17
% 0.76/1.17 Memory use:
% 0.76/1.17
% 0.76/1.17 space for terms: 4627
% 0.76/1.17 space for clauses: 17216
% 0.76/1.17
% 0.76/1.17
% 0.76/1.17 clauses generated: 822
% 0.76/1.17 clauses kept: 333
% 0.76/1.17 clauses selected: 134
% 0.76/1.17 clauses deleted: 20
% 0.76/1.17 clauses inuse deleted: 0
% 0.76/1.17
% 0.76/1.17 subsentry: 3181
% 0.76/1.17 literals s-matched: 1717
% 0.76/1.17 literals matched: 1667
% 0.76/1.17 full subsumption: 461
% 0.76/1.17
% 0.76/1.17 checksum: -1792825370
% 0.76/1.17
% 0.76/1.17
% 0.76/1.17 Bliksem ended
%------------------------------------------------------------------------------