TSTP Solution File: GEO233+3 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO233+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 02:53:06 EDT 2022
% Result : Theorem 0.43s 1.12s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO233+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Jun 17 17:33:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.43/1.12 *** allocated 10000 integers for termspace/termends
% 0.43/1.12 *** allocated 10000 integers for clauses
% 0.43/1.12 *** allocated 10000 integers for justifications
% 0.43/1.12 Bliksem 1.12
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 Automatic Strategy Selection
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 Clauses:
% 0.43/1.12
% 0.43/1.12 { ! unequally_directed_opposite_lines( X, Y ), unequally_directed_lines( X
% 0.43/1.12 , reverse_line( Y ) ) }.
% 0.43/1.12 { ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.43/1.12 unequally_directed_opposite_lines( X, Y ) }.
% 0.43/1.12 { ! right_apart_point( X, Y ), left_apart_point( X, reverse_line( Y ) ) }.
% 0.43/1.12 { ! left_apart_point( X, reverse_line( Y ) ), right_apart_point( X, Y ) }.
% 0.43/1.12 { ! right_convergent_lines( X, Y ), left_convergent_lines( X, reverse_line
% 0.43/1.12 ( Y ) ) }.
% 0.43/1.12 { ! left_convergent_lines( X, reverse_line( Y ) ), right_convergent_lines(
% 0.43/1.12 X, Y ) }.
% 0.43/1.12 { ! equally_directed_lines( X, Y ), ! unequally_directed_lines( X, Y ) }.
% 0.43/1.12 { unequally_directed_lines( X, Y ), equally_directed_lines( X, Y ) }.
% 0.43/1.12 { ! equally_directed_opposite_lines( X, Y ), !
% 0.43/1.12 unequally_directed_opposite_lines( X, Y ) }.
% 0.43/1.12 { unequally_directed_opposite_lines( X, Y ),
% 0.43/1.12 equally_directed_opposite_lines( X, Y ) }.
% 0.43/1.12 { ! apart_point_and_line( X, Y ), left_apart_point( X, Y ),
% 0.43/1.12 right_apart_point( X, Y ) }.
% 0.43/1.12 { ! left_apart_point( X, Y ), apart_point_and_line( X, Y ) }.
% 0.43/1.12 { ! right_apart_point( X, Y ), apart_point_and_line( X, Y ) }.
% 0.43/1.12 { ! convergent_lines( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.43/1.12 { ! convergent_lines( X, Y ), unequally_directed_opposite_lines( X, Y ) }.
% 0.43/1.12 { ! unequally_directed_lines( X, Y ), ! unequally_directed_opposite_lines(
% 0.43/1.12 X, Y ), convergent_lines( X, Y ) }.
% 0.43/1.12 { ! divides_points( Z, X, Y ), alpha1( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.43/1.12 { ! alpha1( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.43/1.12 { ! alpha4( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.43/1.12 { ! alpha4( X, Y, Z ), right_apart_point( X, Z ) }.
% 0.43/1.12 { ! alpha4( X, Y, Z ), left_apart_point( Y, Z ) }.
% 0.43/1.12 { ! right_apart_point( X, Z ), ! left_apart_point( Y, Z ), alpha4( X, Y, Z
% 0.43/1.12 ) }.
% 0.43/1.12 { ! alpha1( X, Y, Z ), left_apart_point( X, Z ) }.
% 0.43/1.12 { ! alpha1( X, Y, Z ), right_apart_point( Y, Z ) }.
% 0.43/1.12 { ! left_apart_point( X, Z ), ! right_apart_point( Y, Z ), alpha1( X, Y, Z
% 0.43/1.12 ) }.
% 0.43/1.12 { ! before_on_line( X, Y, Z ), distinct_points( Y, Z ) }.
% 0.43/1.12 { ! before_on_line( X, Y, Z ), alpha2( X, Y, Z ) }.
% 0.43/1.12 { ! distinct_points( Y, Z ), ! alpha2( X, Y, Z ), before_on_line( X, Y, Z )
% 0.43/1.12 }.
% 0.43/1.12 { ! alpha2( X, Y, Z ), incident_point_and_line( Y, X ) }.
% 0.43/1.12 { ! alpha2( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.43/1.12 { ! incident_point_and_line( Y, X ), ! alpha5( X, Y, Z ), alpha2( X, Y, Z )
% 0.43/1.12 }.
% 0.43/1.12 { ! alpha5( X, Y, Z ), incident_point_and_line( Z, X ) }.
% 0.43/1.12 { ! alpha5( X, Y, Z ), equally_directed_lines( X, line_connecting( Y, Z ) )
% 0.43/1.12 }.
% 0.43/1.12 { ! incident_point_and_line( Z, X ), ! equally_directed_lines( X,
% 0.43/1.12 line_connecting( Y, Z ) ), alpha5( X, Y, Z ) }.
% 0.43/1.12 { ! between_on_line( X, Y, Z, T ), alpha3( X, Y, Z, T ), alpha6( X, Y, Z, T
% 0.43/1.12 ) }.
% 0.43/1.12 { ! alpha3( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.43/1.12 { ! alpha6( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.43/1.12 { ! alpha6( X, Y, Z, T ), before_on_line( X, T, Z ) }.
% 0.43/1.12 { ! alpha6( X, Y, Z, T ), before_on_line( X, Z, Y ) }.
% 0.43/1.12 { ! before_on_line( X, T, Z ), ! before_on_line( X, Z, Y ), alpha6( X, Y, Z
% 0.43/1.12 , T ) }.
% 0.43/1.12 { ! alpha3( X, Y, Z, T ), before_on_line( X, Y, Z ) }.
% 0.43/1.12 { ! alpha3( X, Y, Z, T ), before_on_line( X, Z, T ) }.
% 0.43/1.12 { ! before_on_line( X, Y, Z ), ! before_on_line( X, Z, T ), alpha3( X, Y, Z
% 0.43/1.12 , T ) }.
% 0.43/1.12 { ! distinct_points( X, X ) }.
% 0.43/1.12 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.43/1.12 ) }.
% 0.43/1.12 { ! distinct_lines( X, X ) }.
% 0.43/1.12 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.43/1.12 }.
% 0.43/1.12 { equally_directed_lines( X, X ) }.
% 0.43/1.12 { ! unequally_directed_lines( X, Y ), unequally_directed_lines( X, Z ),
% 0.43/1.12 unequally_directed_lines( Y, Z ) }.
% 0.43/1.12 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.43/1.12 reverse_line( Y ) ), alpha7( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.43/1.12 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.43/1.12 reverse_line( Y ) ), alpha7( X, Z ), unequally_directed_lines( Y,
% 0.43/1.12 reverse_line( Z ) ) }.
% 0.43/1.12 { ! alpha7( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.43/1.12 { ! alpha7( X, Y ), unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.43/1.12 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.43/1.12 reverse_line( Y ) ), alpha7( X, Y ) }.
% 0.43/1.12 { unequally_directed_lines( X, Y ), unequally_directed_lines( X,
% 0.43/1.12 reverse_line( Y ) ) }.
% 0.43/1.12 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.43/1.12 reverse_line( Y ) ), left_convergent_lines( X, Y ), left_convergent_lines
% 0.43/1.12 ( X, reverse_line( Y ) ) }.
% 0.43/1.12 { ! left_apart_point( X, Y ) }.
% 0.43/1.12 { ! left_apart_point( X, reverse_line( Y ) ) }.
% 0.43/1.12 { ! left_convergent_lines( X, Y ) }.
% 0.43/1.12 { ! left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.43/1.12 { ! point( X ), ! point( Y ), ! distinct_points( X, Y ), line(
% 0.43/1.12 line_connecting( X, Y ) ) }.
% 0.43/1.12 { ! line( X ), ! line( Y ), ! unequally_directed_lines( X, Y ), !
% 0.43/1.12 unequally_directed_lines( X, reverse_line( Y ) ), point(
% 0.43/1.12 intersection_point( X, Y ) ) }.
% 0.43/1.12 { ! point( Y ), ! line( X ), line( parallel_through_point( X, Y ) ) }.
% 0.43/1.12 { ! line( X ), line( reverse_line( X ) ) }.
% 0.43/1.12 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 0.43/1.12 , Y ) ) }.
% 0.43/1.12 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 0.43/1.12 , Y ) ) }.
% 0.43/1.12 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.43/1.12 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 0.43/1.12 X ) }.
% 0.43/1.12 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.43/1.12 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 0.43/1.12 Y ) }.
% 0.43/1.12 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 0.43/1.12 { ! distinct_lines( X, reverse_line( X ) ) }.
% 0.43/1.12 { ! distinct_points( X, Y ), equally_directed_lines( line_connecting( X, Y
% 0.43/1.12 ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.43/1.12 { equally_directed_lines( parallel_through_point( Y, X ), Y ) }.
% 0.43/1.12 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), left_apart_point( X
% 0.43/1.12 , Z ), left_apart_point( Y, Z ), left_apart_point( X, T ),
% 0.43/1.12 left_apart_point( Y, T ), left_apart_point( X, reverse_line( Z ) ),
% 0.43/1.12 left_apart_point( Y, reverse_line( Z ) ), left_apart_point( X,
% 0.43/1.12 reverse_line( T ) ), left_apart_point( Y, reverse_line( T ) ) }.
% 0.43/1.12 { ! distinct_points( X, Y ), ! left_apart_point( X, Z ), left_apart_point(
% 0.43/1.12 Y, Z ), left_convergent_lines( line_connecting( X, Y ), Z ) }.
% 0.43/1.12 { ! left_apart_point( X, Y ), distinct_points( X, Z ), left_apart_point( Z
% 0.43/1.12 , Y ) }.
% 0.43/1.12 { ! left_apart_point( X, Y ), ! unequally_directed_lines( Y, Z ),
% 0.43/1.12 distinct_lines( Y, Z ), left_apart_point( X, reverse_line( Z ) ) }.
% 0.43/1.12 { ! left_convergent_lines( X, Y ), unequally_directed_lines( Y, Z ),
% 0.43/1.12 left_convergent_lines( X, Z ) }.
% 0.43/1.12 { ! equally_directed_lines( reverse_line( reverse_line( skol1 ) ), skol1 )
% 0.43/1.12 }.
% 0.43/1.12
% 0.43/1.12 percentage equality = 0.000000, percentage horn = 0.819444
% 0.43/1.12 This a non-horn, non-equality problem
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 Options Used:
% 0.43/1.12
% 0.43/1.12 useres = 1
% 0.43/1.12 useparamod = 0
% 0.43/1.12 useeqrefl = 0
% 0.43/1.12 useeqfact = 0
% 0.43/1.12 usefactor = 1
% 0.43/1.12 usesimpsplitting = 0
% 0.43/1.12 usesimpdemod = 0
% 0.43/1.12 usesimpres = 3
% 0.43/1.12
% 0.43/1.12 resimpinuse = 1000
% 0.43/1.12 resimpclauses = 20000
% 0.43/1.12 substype = standard
% 0.43/1.12 backwardsubs = 1
% 0.43/1.12 selectoldest = 5
% 0.43/1.12
% 0.43/1.12 litorderings [0] = split
% 0.43/1.12 litorderings [1] = liftord
% 0.43/1.12
% 0.43/1.12 termordering = none
% 0.43/1.12
% 0.43/1.12 litapriori = 1
% 0.43/1.12 termapriori = 0
% 0.43/1.12 litaposteriori = 0
% 0.43/1.12 termaposteriori = 0
% 0.43/1.12 demodaposteriori = 0
% 0.43/1.12 ordereqreflfact = 0
% 0.43/1.12
% 0.43/1.12 litselect = none
% 0.43/1.12
% 0.43/1.12 maxweight = 15
% 0.43/1.12 maxdepth = 30000
% 0.43/1.12 maxlength = 115
% 0.43/1.12 maxnrvars = 195
% 0.43/1.12 excuselevel = 1
% 0.43/1.12 increasemaxweight = 1
% 0.43/1.12
% 0.43/1.12 maxselected = 10000000
% 0.43/1.12 maxnrclauses = 10000000
% 0.43/1.12
% 0.43/1.12 showgenerated = 0
% 0.43/1.12 showkept = 0
% 0.43/1.12 showselected = 0
% 0.43/1.12 showdeleted = 0
% 0.43/1.12 showresimp = 1
% 0.43/1.12 showstatus = 2000
% 0.43/1.12
% 0.43/1.12 prologoutput = 0
% 0.43/1.12 nrgoals = 5000000
% 0.43/1.12 totalproof = 1
% 0.43/1.12
% 0.43/1.12 Symbols occurring in the translation:
% 0.43/1.12
% 0.43/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.12 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.43/1.12 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.43/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.12 unequally_directed_opposite_lines [37, 2] (w:1, o:47, a:1, s:1, b:0)
% 0.43/1.12 ,
% 0.43/1.12 reverse_line [38, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.43/1.12 unequally_directed_lines [39, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.43/1.12 right_apart_point [40, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.43/1.12 left_apart_point [41, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.43/1.12 right_convergent_lines [42, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.43/1.12 left_convergent_lines [43, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.43/1.12 equally_directed_lines [44, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.43/1.12 equally_directed_opposite_lines [45, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.43/1.12 apart_point_and_line [48, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.43/1.12 convergent_lines [50, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.43/1.12 divides_points [52, 3] (w:1, o:64, a:1, s:1, b:0),
% 0.43/1.12 before_on_line [53, 3] (w:1, o:69, a:1, s:1, b:0),
% 0.43/1.12 distinct_points [54, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.43/1.12 incident_point_and_line [55, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.43/1.12 line_connecting [56, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.43/1.12 between_on_line [58, 4] (w:1, o:72, a:1, s:1, b:0),
% 0.43/1.12 distinct_lines [59, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.43/1.12 point [61, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.43/1.12 line [62, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.43/1.12 intersection_point [63, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.43/1.12 parallel_through_point [64, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.43/1.12 alpha1 [65, 3] (w:1, o:65, a:1, s:1, b:0),
% 0.43/1.12 alpha2 [66, 3] (w:1, o:66, a:1, s:1, b:0),
% 0.43/1.12 alpha3 [67, 4] (w:1, o:70, a:1, s:1, b:0),
% 0.43/1.12 alpha4 [68, 3] (w:1, o:67, a:1, s:1, b:0),
% 0.43/1.12 alpha5 [69, 3] (w:1, o:68, a:1, s:1, b:0),
% 0.43/1.12 alpha6 [70, 4] (w:1, o:71, a:1, s:1, b:0),
% 0.43/1.12 alpha7 [71, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.43/1.12 skol1 [72, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 Starting Search:
% 0.43/1.12
% 0.43/1.12 *** allocated 15000 integers for clauses
% 0.43/1.12 *** allocated 22500 integers for clauses
% 0.43/1.12
% 0.43/1.12 Bliksems!, er is een bewijs:
% 0.43/1.12 % SZS status Theorem
% 0.43/1.12 % SZS output start Refutation
% 0.43/1.12
% 0.43/1.12 (6) {G0,W6,D2,L2,V2,M1} I { ! unequally_directed_lines( X, Y ), !
% 0.43/1.12 equally_directed_lines( X, Y ) }.
% 0.43/1.12 (7) {G0,W6,D2,L2,V2,M1} I { unequally_directed_lines( X, Y ),
% 0.43/1.12 equally_directed_lines( X, Y ) }.
% 0.43/1.12 (47) {G0,W3,D2,L1,V1,M1} I { equally_directed_lines( X, X ) }.
% 0.43/1.12 (48) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.43/1.12 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.43/1.12 (54) {G0,W7,D3,L2,V2,M2} I { unequally_directed_lines( X, reverse_line( Y )
% 0.43/1.12 ), unequally_directed_lines( X, Y ) }.
% 0.43/1.12 (55) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y ), !
% 0.43/1.12 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 0.43/1.12 X, reverse_line( Y ) ), left_convergent_lines( X, Y ) }.
% 0.43/1.12 (57) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y ) }.
% 0.43/1.12 (69) {G0,W5,D3,L1,V2,M1} I { equally_directed_lines( parallel_through_point
% 0.43/1.12 ( Y, X ), Y ) }.
% 0.43/1.12 (71) {G0,W5,D4,L1,V0,M1} I { ! equally_directed_lines( reverse_line(
% 0.43/1.12 reverse_line( skol1 ) ), skol1 ) }.
% 0.43/1.12 (81) {G1,W5,D4,L1,V0,M1} R(7,71) { unequally_directed_lines( reverse_line(
% 0.43/1.12 reverse_line( skol1 ) ), skol1 ) }.
% 0.43/1.12 (83) {G1,W5,D3,L1,V2,M1} R(6,69) { ! unequally_directed_lines(
% 0.43/1.12 parallel_through_point( X, Y ), X ) }.
% 0.43/1.12 (84) {G1,W3,D2,L1,V1,M1} R(6,47) { ! unequally_directed_lines( X, X ) }.
% 0.43/1.12 (93) {G2,W6,D4,L1,V2,M1} R(54,83) { unequally_directed_lines(
% 0.43/1.12 parallel_through_point( reverse_line( X ), Y ), X ) }.
% 0.43/1.12 (133) {G2,W6,D2,L2,V2,M2} R(48,84) { ! unequally_directed_lines( Y, X ),
% 0.43/1.12 unequally_directed_lines( X, Y ) }.
% 0.43/1.12 (146) {G3,W5,D3,L1,V2,M1} R(133,83) { ! unequally_directed_lines( X,
% 0.43/1.12 parallel_through_point( X, Y ) ) }.
% 0.43/1.12 (150) {G4,W8,D3,L2,V3,M2} R(146,48) { ! unequally_directed_lines( Y, X ),
% 0.43/1.12 unequally_directed_lines( X, parallel_through_point( Y, Z ) ) }.
% 0.43/1.12 (195) {G5,W7,D5,L1,V1,M1} R(150,81) { unequally_directed_lines( skol1,
% 0.43/1.12 parallel_through_point( reverse_line( reverse_line( skol1 ) ), X ) ) }.
% 0.43/1.12 (222) {G6,W7,D5,L1,V1,M1} R(195,133) { unequally_directed_lines(
% 0.43/1.12 parallel_through_point( reverse_line( reverse_line( skol1 ) ), X ), skol1
% 0.43/1.12 ) }.
% 0.43/1.12 (285) {G1,W7,D3,L2,V2,M2} S(55);r(57);r(57) { ! unequally_directed_lines( X
% 0.43/1.12 , reverse_line( Y ) ), ! unequally_directed_lines( X, Y ) }.
% 0.43/1.12 (286) {G7,W0,D0,L0,V0,M0} R(285,222);r(93) { }.
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 % SZS output end Refutation
% 0.43/1.12 found a proof!
% 0.43/1.12
% 0.43/1.12
% 0.43/1.12 Unprocessed initial clauses:
% 0.43/1.12
% 0.43/1.12 (288) {G0,W7,D3,L2,V2,M2} { ! unequally_directed_opposite_lines( X, Y ),
% 0.43/1.12 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.43/1.12 (289) {G0,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, reverse_line( Y
% 0.43/1.12 ) ), unequally_directed_opposite_lines( X, Y ) }.
% 0.43/1.12 (290) {G0,W7,D3,L2,V2,M2} { ! right_apart_point( X, Y ), left_apart_point
% 0.43/1.12 ( X, reverse_line( Y ) ) }.
% 0.43/1.12 (291) {G0,W7,D3,L2,V2,M2} { ! left_apart_point( X, reverse_line( Y ) ),
% 0.43/1.12 right_apart_point( X, Y ) }.
% 0.43/1.12 (292) {G0,W7,D3,L2,V2,M2} { ! right_convergent_lines( X, Y ),
% 0.43/1.12 left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.43/1.12 (293) {G0,W7,D3,L2,V2,M2} { ! left_convergent_lines( X, reverse_line( Y )
% 0.43/1.12 ), right_convergent_lines( X, Y ) }.
% 0.43/1.12 (294) {G0,W6,D2,L2,V2,M2} { ! equally_directed_lines( X, Y ), !
% 0.43/1.12 unequally_directed_lines( X, Y ) }.
% 0.43/1.12 (295) {G0,W6,D2,L2,V2,M2} { unequally_directed_lines( X, Y ),
% 0.43/1.12 equally_directed_lines( X, Y ) }.
% 0.43/1.12 (296) {G0,W6,D2,L2,V2,M2} { ! equally_directed_opposite_lines( X, Y ), !
% 0.43/1.12 unequally_directed_opposite_lines( X, Y ) }.
% 0.43/1.12 (297) {G0,W6,D2,L2,V2,M2} { unequally_directed_opposite_lines( X, Y ),
% 0.43/1.12 equally_directed_opposite_lines( X, Y ) }.
% 0.43/1.12 (298) {G0,W9,D2,L3,V2,M3} { ! apart_point_and_line( X, Y ),
% 0.43/1.12 left_apart_point( X, Y ), right_apart_point( X, Y ) }.
% 0.43/1.12 (299) {G0,W6,D2,L2,V2,M2} { ! left_apart_point( X, Y ),
% 0.43/1.12 apart_point_and_line( X, Y ) }.
% 0.43/1.12 (300) {G0,W6,D2,L2,V2,M2} { ! right_apart_point( X, Y ),
% 0.43/1.12 apart_point_and_line( X, Y ) }.
% 0.43/1.12 (301) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.43/1.12 unequally_directed_lines( X, Y ) }.
% 0.43/1.12 (302) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.43/1.12 unequally_directed_opposite_lines( X, Y ) }.
% 0.43/1.12 (303) {G0,W9,D2,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.43/1.12 unequally_directed_opposite_lines( X, Y ), convergent_lines( X, Y ) }.
% 0.43/1.12 (304) {G0,W12,D2,L3,V3,M3} { ! divides_points( Z, X, Y ), alpha1( X, Y, Z
% 0.43/1.12 ), alpha4( X, Y, Z ) }.
% 0.43/1.12 (305) {G0,W8,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), divides_points( Z, X, Y )
% 0.43/1.12 }.
% 0.43/1.12 (306) {G0,W8,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), divides_points( Z, X, Y )
% 0.43/1.12 }.
% 0.43/1.12 (307) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), right_apart_point( X, Z )
% 0.43/1.12 }.
% 0.43/1.12 (308) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), left_apart_point( Y, Z )
% 0.43/1.12 }.
% 0.43/1.12 (309) {G0,W10,D2,L3,V3,M3} { ! right_apart_point( X, Z ), !
% 0.43/1.12 left_apart_point( Y, Z ), alpha4( X, Y, Z ) }.
% 0.43/1.12 (310) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), left_apart_point( X, Z )
% 0.43/1.12 }.
% 0.43/1.12 (311) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), right_apart_point( Y, Z )
% 0.43/1.12 }.
% 0.43/1.12 (312) {G0,W10,D2,L3,V3,M3} { ! left_apart_point( X, Z ), !
% 0.43/1.12 right_apart_point( Y, Z ), alpha1( X, Y, Z ) }.
% 0.43/1.12 (313) {G0,W7,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), distinct_points(
% 0.43/1.12 Y, Z ) }.
% 0.43/1.12 (314) {G0,W8,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), alpha2( X, Y, Z )
% 0.43/1.12 }.
% 0.43/1.12 (315) {G0,W11,D2,L3,V3,M3} { ! distinct_points( Y, Z ), ! alpha2( X, Y, Z
% 0.43/1.12 ), before_on_line( X, Y, Z ) }.
% 0.43/1.12 (316) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), incident_point_and_line(
% 0.43/1.12 Y, X ) }.
% 0.43/1.12 (317) {G0,W8,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.43/1.12 (318) {G0,W11,D2,L3,V3,M3} { ! incident_point_and_line( Y, X ), ! alpha5(
% 0.43/1.12 X, Y, Z ), alpha2( X, Y, Z ) }.
% 0.43/1.12 (319) {G0,W7,D2,L2,V3,M2} { ! alpha5( X, Y, Z ), incident_point_and_line(
% 0.43/1.12 Z, X ) }.
% 0.43/1.12 (320) {G0,W9,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), equally_directed_lines( X
% 0.43/1.12 , line_connecting( Y, Z ) ) }.
% 0.43/1.12 (321) {G0,W12,D3,L3,V3,M3} { ! incident_point_and_line( Z, X ), !
% 0.43/1.12 equally_directed_lines( X, line_connecting( Y, Z ) ), alpha5( X, Y, Z )
% 0.43/1.12 }.
% 0.43/1.12 (322) {G0,W15,D2,L3,V4,M3} { ! between_on_line( X, Y, Z, T ), alpha3( X, Y
% 0.43/1.12 , Z, T ), alpha6( X, Y, Z, T ) }.
% 0.43/1.12 (323) {G0,W10,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), between_on_line( X, Y
% 0.43/1.12 , Z, T ) }.
% 0.43/1.12 (324) {G0,W10,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), between_on_line( X, Y
% 0.43/1.12 , Z, T ) }.
% 0.43/1.12 (325) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, T,
% 0.43/1.12 Z ) }.
% 0.43/1.12 (326) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, Z,
% 0.43/1.12 Y ) }.
% 0.43/1.12 (327) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, T, Z ), ! before_on_line
% 0.43/1.12 ( X, Z, Y ), alpha6( X, Y, Z, T ) }.
% 0.43/1.12 (328) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Y,
% 0.43/1.12 Z ) }.
% 0.43/1.12 (329) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Z,
% 0.43/1.12 T ) }.
% 0.43/1.12 (330) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, Y, Z ), ! before_on_line
% 0.43/1.12 ( X, Z, T ), alpha3( X, Y, Z, T ) }.
% 0.43/1.12 (331) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.43/1.12 (332) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.43/1.12 , Z ), distinct_points( Y, Z ) }.
% 0.43/1.12 (333) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.43/1.12 (334) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 0.43/1.12 ), distinct_lines( Y, Z ) }.
% 0.43/1.12 (335) {G0,W3,D2,L1,V1,M1} { equally_directed_lines( X, X ) }.
% 0.43/1.12 (336) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.43/1.12 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.43/1.12 (337) {G0,W13,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 0.43/1.12 unequally_directed_lines( X, reverse_line( Y ) ), alpha7( X, Z ),
% 0.43/1.12 unequally_directed_lines( Y, Z ) }.
% 0.43/1.12 (338) {G0,W14,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 0.43/1.12 unequally_directed_lines( X, reverse_line( Y ) ), alpha7( X, Z ),
% 0.43/1.12 unequally_directed_lines( Y, reverse_line( Z ) ) }.
% 0.43/1.12 (339) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), unequally_directed_lines( X
% 0.43/1.12 , Y ) }.
% 0.43/1.12 (340) {G0,W7,D3,L2,V2,M2} { ! alpha7( X, Y ), unequally_directed_lines( X
% 0.43/1.12 , reverse_line( Y ) ) }.
% 0.43/1.12 (341) {G0,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.43/1.12 unequally_directed_lines( X, reverse_line( Y ) ), alpha7( X, Y ) }.
% 0.43/1.12 (342) {G0,W7,D3,L2,V2,M2} { unequally_directed_lines( X, Y ),
% 0.43/1.12 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.43/1.12 (343) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y ), !
% 0.43/1.12 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 0.43/1.12 X, Y ), left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.43/1.12 (344) {G0,W3,D2,L1,V2,M1} { ! left_apart_point( X, Y ) }.
% 0.43/1.12 (345) {G0,W4,D3,L1,V2,M1} { ! left_apart_point( X, reverse_line( Y ) ) }.
% 0.43/1.12 (346) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 0.43/1.12 (347) {G0,W4,D3,L1,V2,M1} { ! left_convergent_lines( X, reverse_line( Y )
% 0.43/1.12 ) }.
% 0.43/1.12 (348) {G0,W11,D3,L4,V2,M4} { ! point( X ), ! point( Y ), ! distinct_points
% 0.43/1.12 ( X, Y ), line( line_connecting( X, Y ) ) }.
% 0.43/1.12 (349) {G0,W15,D3,L5,V2,M5} { ! line( X ), ! line( Y ), !
% 0.43/1.12 unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.43/1.12 reverse_line( Y ) ), point( intersection_point( X, Y ) ) }.
% 0.43/1.12 (350) {G0,W8,D3,L3,V2,M3} { ! point( Y ), ! line( X ), line(
% 0.43/1.12 parallel_through_point( X, Y ) ) }.
% 0.43/1.12 (351) {G0,W5,D3,L2,V1,M2} { ! line( X ), line( reverse_line( X ) ) }.
% 0.43/1.12 (352) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.43/1.12 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.43/1.12 (353) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.43/1.12 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.43/1.12 (354) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.43/1.12 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 0.43/1.12 ( intersection_point( X, Y ), X ) }.
% 0.43/1.12 (355) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.43/1.12 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 0.43/1.12 ( intersection_point( X, Y ), Y ) }.
% 0.43/1.12 (356) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 0.43/1.12 parallel_through_point( Y, X ) ) }.
% 0.43/1.12 (357) {G0,W4,D3,L1,V1,M1} { ! distinct_lines( X, reverse_line( X ) ) }.
% 0.43/1.12 (358) {G0,W11,D4,L2,V2,M2} { ! distinct_points( X, Y ),
% 0.43/1.12 equally_directed_lines( line_connecting( X, Y ), reverse_line(
% 0.43/1.12 line_connecting( Y, X ) ) ) }.
% 0.43/1.12 (359) {G0,W5,D3,L1,V2,M1} { equally_directed_lines( parallel_through_point
% 0.43/1.12 ( Y, X ), Y ) }.
% 0.43/1.12 (360) {G0,W34,D3,L10,V4,M10} { ! distinct_points( X, Y ), ! distinct_lines
% 0.43/1.12 ( Z, T ), left_apart_point( X, Z ), left_apart_point( Y, Z ),
% 0.43/1.12 left_apart_point( X, T ), left_apart_point( Y, T ), left_apart_point( X,
% 0.43/1.12 reverse_line( Z ) ), left_apart_point( Y, reverse_line( Z ) ),
% 0.43/1.12 left_apart_point( X, reverse_line( T ) ), left_apart_point( Y,
% 0.43/1.12 reverse_line( T ) ) }.
% 0.43/1.12 (361) {G0,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), ! left_apart_point
% 0.43/1.12 ( X, Z ), left_apart_point( Y, Z ), left_convergent_lines(
% 0.43/1.13 line_connecting( X, Y ), Z ) }.
% 0.43/1.13 (362) {G0,W9,D2,L3,V3,M3} { ! left_apart_point( X, Y ), distinct_points( X
% 0.43/1.13 , Z ), left_apart_point( Z, Y ) }.
% 0.43/1.13 (363) {G0,W13,D3,L4,V3,M4} { ! left_apart_point( X, Y ), !
% 0.43/1.13 unequally_directed_lines( Y, Z ), distinct_lines( Y, Z ),
% 0.43/1.13 left_apart_point( X, reverse_line( Z ) ) }.
% 0.43/1.13 (364) {G0,W9,D2,L3,V3,M3} { ! left_convergent_lines( X, Y ),
% 0.43/1.13 unequally_directed_lines( Y, Z ), left_convergent_lines( X, Z ) }.
% 0.43/1.13 (365) {G0,W5,D4,L1,V0,M1} { ! equally_directed_lines( reverse_line(
% 0.43/1.13 reverse_line( skol1 ) ), skol1 ) }.
% 0.43/1.13
% 0.43/1.13
% 0.43/1.13 Total Proof:
% 0.43/1.13
% 0.43/1.13 subsumption: (6) {G0,W6,D2,L2,V2,M1} I { ! unequally_directed_lines( X, Y )
% 0.43/1.13 , ! equally_directed_lines( X, Y ) }.
% 0.43/1.13 parent0: (294) {G0,W6,D2,L2,V2,M2} { ! equally_directed_lines( X, Y ), !
% 0.43/1.13 unequally_directed_lines( X, Y ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := X
% 0.43/1.13 Y := Y
% 0.43/1.13 end
% 0.43/1.13 permutation0:
% 0.43/1.13 0 ==> 1
% 0.43/1.13 1 ==> 0
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 subsumption: (7) {G0,W6,D2,L2,V2,M1} I { unequally_directed_lines( X, Y ),
% 0.43/1.13 equally_directed_lines( X, Y ) }.
% 0.43/1.13 parent0: (295) {G0,W6,D2,L2,V2,M2} { unequally_directed_lines( X, Y ),
% 0.43/1.13 equally_directed_lines( X, Y ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := X
% 0.43/1.13 Y := Y
% 0.43/1.13 end
% 0.43/1.13 permutation0:
% 0.43/1.13 0 ==> 0
% 0.43/1.13 1 ==> 1
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 subsumption: (47) {G0,W3,D2,L1,V1,M1} I { equally_directed_lines( X, X )
% 0.43/1.13 }.
% 0.43/1.13 parent0: (335) {G0,W3,D2,L1,V1,M1} { equally_directed_lines( X, X ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := X
% 0.43/1.13 end
% 0.43/1.13 permutation0:
% 0.43/1.13 0 ==> 0
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 subsumption: (48) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z )
% 0.43/1.13 , unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y )
% 0.43/1.13 }.
% 0.43/1.13 parent0: (336) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.43/1.13 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := X
% 0.43/1.13 Y := Y
% 0.43/1.13 Z := Z
% 0.43/1.13 end
% 0.43/1.13 permutation0:
% 0.43/1.13 0 ==> 2
% 0.43/1.13 1 ==> 0
% 0.43/1.13 2 ==> 1
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 subsumption: (54) {G0,W7,D3,L2,V2,M2} I { unequally_directed_lines( X,
% 0.43/1.13 reverse_line( Y ) ), unequally_directed_lines( X, Y ) }.
% 0.43/1.13 parent0: (342) {G0,W7,D3,L2,V2,M2} { unequally_directed_lines( X, Y ),
% 0.43/1.13 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := X
% 0.43/1.13 Y := Y
% 0.43/1.13 end
% 0.43/1.13 permutation0:
% 0.43/1.13 0 ==> 1
% 0.43/1.13 1 ==> 0
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 subsumption: (55) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y
% 0.43/1.13 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.43/1.13 left_convergent_lines( X, reverse_line( Y ) ), left_convergent_lines( X,
% 0.43/1.13 Y ) }.
% 0.43/1.13 parent0: (343) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y ),
% 0.43/1.13 ! unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines
% 0.43/1.13 ( X, Y ), left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := X
% 0.43/1.13 Y := Y
% 0.43/1.13 end
% 0.43/1.13 permutation0:
% 0.43/1.13 0 ==> 0
% 0.43/1.13 1 ==> 1
% 0.43/1.13 2 ==> 3
% 0.43/1.13 3 ==> 2
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 subsumption: (57) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.43/1.13 }.
% 0.43/1.13 parent0: (346) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := X
% 0.43/1.13 Y := Y
% 0.43/1.13 end
% 0.43/1.13 permutation0:
% 0.43/1.13 0 ==> 0
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 subsumption: (69) {G0,W5,D3,L1,V2,M1} I { equally_directed_lines(
% 0.43/1.13 parallel_through_point( Y, X ), Y ) }.
% 0.43/1.13 parent0: (359) {G0,W5,D3,L1,V2,M1} { equally_directed_lines(
% 0.43/1.13 parallel_through_point( Y, X ), Y ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := X
% 0.43/1.13 Y := Y
% 0.43/1.13 end
% 0.43/1.13 permutation0:
% 0.43/1.13 0 ==> 0
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 subsumption: (71) {G0,W5,D4,L1,V0,M1} I { ! equally_directed_lines(
% 0.43/1.13 reverse_line( reverse_line( skol1 ) ), skol1 ) }.
% 0.43/1.13 parent0: (365) {G0,W5,D4,L1,V0,M1} { ! equally_directed_lines(
% 0.43/1.13 reverse_line( reverse_line( skol1 ) ), skol1 ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 end
% 0.43/1.13 permutation0:
% 0.43/1.13 0 ==> 0
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 resolution: (430) {G1,W5,D4,L1,V0,M1} { unequally_directed_lines(
% 0.43/1.13 reverse_line( reverse_line( skol1 ) ), skol1 ) }.
% 0.43/1.13 parent0[0]: (71) {G0,W5,D4,L1,V0,M1} I { ! equally_directed_lines(
% 0.43/1.13 reverse_line( reverse_line( skol1 ) ), skol1 ) }.
% 0.43/1.13 parent1[1]: (7) {G0,W6,D2,L2,V2,M1} I { unequally_directed_lines( X, Y ),
% 0.43/1.13 equally_directed_lines( X, Y ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 end
% 0.43/1.13 substitution1:
% 0.43/1.13 X := reverse_line( reverse_line( skol1 ) )
% 0.43/1.13 Y := skol1
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 subsumption: (81) {G1,W5,D4,L1,V0,M1} R(7,71) { unequally_directed_lines(
% 0.43/1.13 reverse_line( reverse_line( skol1 ) ), skol1 ) }.
% 0.43/1.13 parent0: (430) {G1,W5,D4,L1,V0,M1} { unequally_directed_lines(
% 0.43/1.13 reverse_line( reverse_line( skol1 ) ), skol1 ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 end
% 0.43/1.13 permutation0:
% 0.43/1.13 0 ==> 0
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 resolution: (431) {G1,W5,D3,L1,V2,M1} { ! unequally_directed_lines(
% 0.43/1.13 parallel_through_point( X, Y ), X ) }.
% 0.43/1.13 parent0[1]: (6) {G0,W6,D2,L2,V2,M1} I { ! unequally_directed_lines( X, Y )
% 0.43/1.13 , ! equally_directed_lines( X, Y ) }.
% 0.43/1.13 parent1[0]: (69) {G0,W5,D3,L1,V2,M1} I { equally_directed_lines(
% 0.43/1.13 parallel_through_point( Y, X ), Y ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := parallel_through_point( X, Y )
% 0.43/1.13 Y := X
% 0.43/1.13 end
% 0.43/1.13 substitution1:
% 0.43/1.13 X := Y
% 0.43/1.13 Y := X
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 subsumption: (83) {G1,W5,D3,L1,V2,M1} R(6,69) { ! unequally_directed_lines
% 0.43/1.13 ( parallel_through_point( X, Y ), X ) }.
% 0.43/1.13 parent0: (431) {G1,W5,D3,L1,V2,M1} { ! unequally_directed_lines(
% 0.43/1.13 parallel_through_point( X, Y ), X ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := X
% 0.43/1.13 Y := Y
% 0.43/1.13 end
% 0.43/1.13 permutation0:
% 0.43/1.13 0 ==> 0
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 resolution: (432) {G1,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, X )
% 0.43/1.13 }.
% 0.43/1.13 parent0[1]: (6) {G0,W6,D2,L2,V2,M1} I { ! unequally_directed_lines( X, Y )
% 0.43/1.13 , ! equally_directed_lines( X, Y ) }.
% 0.43/1.13 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { equally_directed_lines( X, X ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := X
% 0.43/1.13 Y := X
% 0.43/1.13 end
% 0.43/1.13 substitution1:
% 0.43/1.13 X := X
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 subsumption: (84) {G1,W3,D2,L1,V1,M1} R(6,47) { ! unequally_directed_lines
% 0.43/1.13 ( X, X ) }.
% 0.43/1.13 parent0: (432) {G1,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, X )
% 0.43/1.13 }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := X
% 0.43/1.13 end
% 0.43/1.13 permutation0:
% 0.43/1.13 0 ==> 0
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 resolution: (433) {G1,W6,D4,L1,V2,M1} { unequally_directed_lines(
% 0.43/1.13 parallel_through_point( reverse_line( X ), Y ), X ) }.
% 0.43/1.13 parent0[0]: (83) {G1,W5,D3,L1,V2,M1} R(6,69) { ! unequally_directed_lines(
% 0.43/1.13 parallel_through_point( X, Y ), X ) }.
% 0.43/1.13 parent1[0]: (54) {G0,W7,D3,L2,V2,M2} I { unequally_directed_lines( X,
% 0.43/1.13 reverse_line( Y ) ), unequally_directed_lines( X, Y ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := reverse_line( X )
% 0.43/1.13 Y := Y
% 0.43/1.13 end
% 0.43/1.13 substitution1:
% 0.43/1.13 X := parallel_through_point( reverse_line( X ), Y )
% 0.43/1.13 Y := X
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 subsumption: (93) {G2,W6,D4,L1,V2,M1} R(54,83) { unequally_directed_lines(
% 0.43/1.13 parallel_through_point( reverse_line( X ), Y ), X ) }.
% 0.43/1.13 parent0: (433) {G1,W6,D4,L1,V2,M1} { unequally_directed_lines(
% 0.43/1.13 parallel_through_point( reverse_line( X ), Y ), X ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := X
% 0.43/1.13 Y := Y
% 0.43/1.13 end
% 0.43/1.13 permutation0:
% 0.43/1.13 0 ==> 0
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 resolution: (435) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X ),
% 0.43/1.13 ! unequally_directed_lines( X, Y ) }.
% 0.43/1.13 parent0[0]: (84) {G1,W3,D2,L1,V1,M1} R(6,47) { ! unequally_directed_lines(
% 0.43/1.13 X, X ) }.
% 0.43/1.13 parent1[0]: (48) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.43/1.13 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := X
% 0.43/1.13 end
% 0.43/1.13 substitution1:
% 0.43/1.13 X := X
% 0.43/1.13 Y := Y
% 0.43/1.13 Z := X
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 subsumption: (133) {G2,W6,D2,L2,V2,M2} R(48,84) { !
% 0.43/1.13 unequally_directed_lines( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.43/1.13 parent0: (435) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X ), !
% 0.43/1.13 unequally_directed_lines( X, Y ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := Y
% 0.43/1.13 Y := X
% 0.43/1.13 end
% 0.43/1.13 permutation0:
% 0.43/1.13 0 ==> 1
% 0.43/1.13 1 ==> 0
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 resolution: (437) {G2,W5,D3,L1,V2,M1} { ! unequally_directed_lines( X,
% 0.43/1.13 parallel_through_point( X, Y ) ) }.
% 0.43/1.13 parent0[0]: (83) {G1,W5,D3,L1,V2,M1} R(6,69) { ! unequally_directed_lines(
% 0.43/1.13 parallel_through_point( X, Y ), X ) }.
% 0.43/1.13 parent1[1]: (133) {G2,W6,D2,L2,V2,M2} R(48,84) { ! unequally_directed_lines
% 0.43/1.13 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := X
% 0.43/1.13 Y := Y
% 0.43/1.13 end
% 0.43/1.13 substitution1:
% 0.43/1.13 X := parallel_through_point( X, Y )
% 0.43/1.13 Y := X
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 subsumption: (146) {G3,W5,D3,L1,V2,M1} R(133,83) { !
% 0.43/1.13 unequally_directed_lines( X, parallel_through_point( X, Y ) ) }.
% 0.43/1.13 parent0: (437) {G2,W5,D3,L1,V2,M1} { ! unequally_directed_lines( X,
% 0.43/1.13 parallel_through_point( X, Y ) ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := X
% 0.43/1.13 Y := Y
% 0.43/1.13 end
% 0.43/1.13 permutation0:
% 0.43/1.13 0 ==> 0
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 resolution: (438) {G1,W8,D3,L2,V3,M2} { unequally_directed_lines( Z,
% 0.43/1.13 parallel_through_point( X, Y ) ), ! unequally_directed_lines( X, Z ) }.
% 0.43/1.13 parent0[0]: (146) {G3,W5,D3,L1,V2,M1} R(133,83) { !
% 0.43/1.13 unequally_directed_lines( X, parallel_through_point( X, Y ) ) }.
% 0.43/1.13 parent1[0]: (48) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.43/1.13 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := X
% 0.43/1.13 Y := Y
% 0.43/1.13 end
% 0.43/1.13 substitution1:
% 0.43/1.13 X := X
% 0.43/1.13 Y := Z
% 0.43/1.13 Z := parallel_through_point( X, Y )
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 subsumption: (150) {G4,W8,D3,L2,V3,M2} R(146,48) { !
% 0.43/1.13 unequally_directed_lines( Y, X ), unequally_directed_lines( X,
% 0.43/1.13 parallel_through_point( Y, Z ) ) }.
% 0.43/1.13 parent0: (438) {G1,W8,D3,L2,V3,M2} { unequally_directed_lines( Z,
% 0.43/1.13 parallel_through_point( X, Y ) ), ! unequally_directed_lines( X, Z ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := Y
% 0.43/1.13 Y := Z
% 0.43/1.13 Z := X
% 0.43/1.13 end
% 0.43/1.13 permutation0:
% 0.43/1.13 0 ==> 1
% 0.43/1.13 1 ==> 0
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 resolution: (440) {G2,W7,D5,L1,V1,M1} { unequally_directed_lines( skol1,
% 0.43/1.13 parallel_through_point( reverse_line( reverse_line( skol1 ) ), X ) ) }.
% 0.43/1.13 parent0[0]: (150) {G4,W8,D3,L2,V3,M2} R(146,48) { !
% 0.43/1.13 unequally_directed_lines( Y, X ), unequally_directed_lines( X,
% 0.43/1.13 parallel_through_point( Y, Z ) ) }.
% 0.43/1.13 parent1[0]: (81) {G1,W5,D4,L1,V0,M1} R(7,71) { unequally_directed_lines(
% 0.43/1.13 reverse_line( reverse_line( skol1 ) ), skol1 ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := skol1
% 0.43/1.13 Y := reverse_line( reverse_line( skol1 ) )
% 0.43/1.13 Z := X
% 0.43/1.13 end
% 0.43/1.13 substitution1:
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 subsumption: (195) {G5,W7,D5,L1,V1,M1} R(150,81) { unequally_directed_lines
% 0.43/1.13 ( skol1, parallel_through_point( reverse_line( reverse_line( skol1 ) ), X
% 0.43/1.13 ) ) }.
% 0.43/1.13 parent0: (440) {G2,W7,D5,L1,V1,M1} { unequally_directed_lines( skol1,
% 0.43/1.13 parallel_through_point( reverse_line( reverse_line( skol1 ) ), X ) ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := X
% 0.43/1.13 end
% 0.43/1.13 permutation0:
% 0.43/1.13 0 ==> 0
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 resolution: (441) {G3,W7,D5,L1,V1,M1} { unequally_directed_lines(
% 0.43/1.13 parallel_through_point( reverse_line( reverse_line( skol1 ) ), X ), skol1
% 0.43/1.13 ) }.
% 0.43/1.13 parent0[0]: (133) {G2,W6,D2,L2,V2,M2} R(48,84) { ! unequally_directed_lines
% 0.43/1.13 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.43/1.13 parent1[0]: (195) {G5,W7,D5,L1,V1,M1} R(150,81) { unequally_directed_lines
% 0.43/1.13 ( skol1, parallel_through_point( reverse_line( reverse_line( skol1 ) ), X
% 0.43/1.13 ) ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := parallel_through_point( reverse_line( reverse_line( skol1 ) ), X )
% 0.43/1.13 Y := skol1
% 0.43/1.13 end
% 0.43/1.13 substitution1:
% 0.43/1.13 X := X
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 subsumption: (222) {G6,W7,D5,L1,V1,M1} R(195,133) {
% 0.43/1.13 unequally_directed_lines( parallel_through_point( reverse_line(
% 0.43/1.13 reverse_line( skol1 ) ), X ), skol1 ) }.
% 0.43/1.13 parent0: (441) {G3,W7,D5,L1,V1,M1} { unequally_directed_lines(
% 0.43/1.13 parallel_through_point( reverse_line( reverse_line( skol1 ) ), X ), skol1
% 0.43/1.13 ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := X
% 0.43/1.13 end
% 0.43/1.13 permutation0:
% 0.43/1.13 0 ==> 0
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 resolution: (442) {G1,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y
% 0.43/1.13 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.43/1.13 left_convergent_lines( X, Y ) }.
% 0.43/1.13 parent0[0]: (57) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.43/1.13 }.
% 0.43/1.13 parent1[2]: (55) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y
% 0.43/1.13 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.43/1.13 left_convergent_lines( X, reverse_line( Y ) ), left_convergent_lines( X,
% 0.43/1.13 Y ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := X
% 0.43/1.13 Y := reverse_line( Y )
% 0.43/1.13 end
% 0.43/1.13 substitution1:
% 0.43/1.13 X := X
% 0.43/1.13 Y := Y
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 resolution: (444) {G1,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, Y )
% 0.43/1.13 , ! unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.43/1.13 parent0[0]: (57) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.43/1.13 }.
% 0.43/1.13 parent1[2]: (442) {G1,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y
% 0.43/1.13 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.43/1.13 left_convergent_lines( X, Y ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := X
% 0.43/1.13 Y := Y
% 0.43/1.13 end
% 0.43/1.13 substitution1:
% 0.43/1.13 X := X
% 0.43/1.13 Y := Y
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 subsumption: (285) {G1,W7,D3,L2,V2,M2} S(55);r(57);r(57) { !
% 0.43/1.13 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.43/1.13 unequally_directed_lines( X, Y ) }.
% 0.43/1.13 parent0: (444) {G1,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, Y ), !
% 0.43/1.13 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := X
% 0.43/1.13 Y := Y
% 0.43/1.13 end
% 0.43/1.13 permutation0:
% 0.43/1.13 0 ==> 1
% 0.43/1.13 1 ==> 0
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 resolution: (445) {G2,W8,D5,L1,V1,M1} { ! unequally_directed_lines(
% 0.43/1.13 parallel_through_point( reverse_line( reverse_line( skol1 ) ), X ),
% 0.43/1.13 reverse_line( skol1 ) ) }.
% 0.43/1.13 parent0[1]: (285) {G1,W7,D3,L2,V2,M2} S(55);r(57);r(57) { !
% 0.43/1.13 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.43/1.13 unequally_directed_lines( X, Y ) }.
% 0.43/1.13 parent1[0]: (222) {G6,W7,D5,L1,V1,M1} R(195,133) { unequally_directed_lines
% 0.43/1.13 ( parallel_through_point( reverse_line( reverse_line( skol1 ) ), X ),
% 0.43/1.13 skol1 ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := parallel_through_point( reverse_line( reverse_line( skol1 ) ), X )
% 0.43/1.13 Y := skol1
% 0.43/1.13 end
% 0.43/1.13 substitution1:
% 0.43/1.13 X := X
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 resolution: (446) {G3,W0,D0,L0,V0,M0} { }.
% 0.43/1.13 parent0[0]: (445) {G2,W8,D5,L1,V1,M1} { ! unequally_directed_lines(
% 0.43/1.13 parallel_through_point( reverse_line( reverse_line( skol1 ) ), X ),
% 0.43/1.13 reverse_line( skol1 ) ) }.
% 0.43/1.13 parent1[0]: (93) {G2,W6,D4,L1,V2,M1} R(54,83) { unequally_directed_lines(
% 0.43/1.13 parallel_through_point( reverse_line( X ), Y ), X ) }.
% 0.43/1.13 substitution0:
% 0.43/1.13 X := X
% 0.43/1.13 end
% 0.43/1.13 substitution1:
% 0.43/1.13 X := reverse_line( skol1 )
% 0.43/1.13 Y := X
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 subsumption: (286) {G7,W0,D0,L0,V0,M0} R(285,222);r(93) { }.
% 0.43/1.13 parent0: (446) {G3,W0,D0,L0,V0,M0} { }.
% 0.43/1.13 substitution0:
% 0.43/1.13 end
% 0.43/1.13 permutation0:
% 0.43/1.13 end
% 0.43/1.13
% 0.43/1.13 Proof check complete!
% 0.43/1.13
% 0.43/1.13 Memory use:
% 0.43/1.13
% 0.43/1.13 space for terms: 4316
% 0.43/1.13 space for clauses: 15471
% 0.43/1.13
% 0.43/1.13
% 0.43/1.13 clauses generated: 715
% 0.43/1.13 clauses kept: 287
% 0.43/1.13 clauses selected: 121
% 0.43/1.13 clauses deleted: 21
% 0.43/1.13 clauses inuse deleted: 0
% 0.43/1.13
% 0.43/1.13 subsentry: 2793
% 0.43/1.13 literals s-matched: 1485
% 0.43/1.13 literals matched: 1435
% 0.43/1.13 full subsumption: 409
% 0.43/1.13
% 0.43/1.13 checksum: 1701880918
% 0.43/1.13
% 0.43/1.13
% 0.43/1.13 Bliksem ended
%------------------------------------------------------------------------------