TSTP Solution File: GEO255+3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO255+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 02:53:19 EDT 2022
% Result : Theorem 3.46s 3.91s
% Output : Refutation 3.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO255+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jun 18 14:40:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.73/1.08 *** allocated 10000 integers for termspace/termends
% 0.73/1.08 *** allocated 10000 integers for clauses
% 0.73/1.08 *** allocated 10000 integers for justifications
% 0.73/1.08 Bliksem 1.12
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 Automatic Strategy Selection
% 0.73/1.08
% 0.73/1.08
% 0.73/1.08 Clauses:
% 0.73/1.08
% 0.73/1.08 { ! unequally_directed_opposite_lines( X, Y ), unequally_directed_lines( X
% 0.73/1.08 , reverse_line( Y ) ) }.
% 0.73/1.08 { ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.73/1.08 unequally_directed_opposite_lines( X, Y ) }.
% 0.73/1.08 { ! right_apart_point( X, Y ), left_apart_point( X, reverse_line( Y ) ) }.
% 0.73/1.08 { ! left_apart_point( X, reverse_line( Y ) ), right_apart_point( X, Y ) }.
% 0.73/1.08 { ! right_convergent_lines( X, Y ), left_convergent_lines( X, reverse_line
% 0.73/1.08 ( Y ) ) }.
% 0.73/1.08 { ! left_convergent_lines( X, reverse_line( Y ) ), right_convergent_lines(
% 0.73/1.08 X, Y ) }.
% 0.73/1.08 { ! equally_directed_lines( X, Y ), ! unequally_directed_lines( X, Y ) }.
% 0.73/1.08 { unequally_directed_lines( X, Y ), equally_directed_lines( X, Y ) }.
% 0.73/1.08 { ! equally_directed_opposite_lines( X, Y ), !
% 0.73/1.08 unequally_directed_opposite_lines( X, Y ) }.
% 0.73/1.08 { unequally_directed_opposite_lines( X, Y ),
% 0.73/1.08 equally_directed_opposite_lines( X, Y ) }.
% 0.73/1.08 { ! apart_point_and_line( X, Y ), left_apart_point( X, Y ),
% 0.73/1.08 right_apart_point( X, Y ) }.
% 0.73/1.08 { ! left_apart_point( X, Y ), apart_point_and_line( X, Y ) }.
% 0.73/1.08 { ! right_apart_point( X, Y ), apart_point_and_line( X, Y ) }.
% 0.73/1.08 { ! convergent_lines( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.73/1.08 { ! convergent_lines( X, Y ), unequally_directed_opposite_lines( X, Y ) }.
% 0.73/1.08 { ! unequally_directed_lines( X, Y ), ! unequally_directed_opposite_lines(
% 0.73/1.08 X, Y ), convergent_lines( X, Y ) }.
% 0.73/1.08 { ! divides_points( Z, X, Y ), alpha1( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.73/1.08 { ! alpha1( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.73/1.08 { ! alpha4( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.73/1.08 { ! alpha4( X, Y, Z ), right_apart_point( X, Z ) }.
% 0.73/1.08 { ! alpha4( X, Y, Z ), left_apart_point( Y, Z ) }.
% 0.73/1.08 { ! right_apart_point( X, Z ), ! left_apart_point( Y, Z ), alpha4( X, Y, Z
% 0.73/1.08 ) }.
% 0.73/1.08 { ! alpha1( X, Y, Z ), left_apart_point( X, Z ) }.
% 0.73/1.08 { ! alpha1( X, Y, Z ), right_apart_point( Y, Z ) }.
% 0.73/1.08 { ! left_apart_point( X, Z ), ! right_apart_point( Y, Z ), alpha1( X, Y, Z
% 0.73/1.08 ) }.
% 0.73/1.08 { ! before_on_line( X, Y, Z ), distinct_points( Y, Z ) }.
% 0.73/1.08 { ! before_on_line( X, Y, Z ), alpha2( X, Y, Z ) }.
% 0.73/1.08 { ! distinct_points( Y, Z ), ! alpha2( X, Y, Z ), before_on_line( X, Y, Z )
% 0.73/1.08 }.
% 0.73/1.08 { ! alpha2( X, Y, Z ), incident_point_and_line( Y, X ) }.
% 0.73/1.08 { ! alpha2( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.73/1.08 { ! incident_point_and_line( Y, X ), ! alpha5( X, Y, Z ), alpha2( X, Y, Z )
% 0.73/1.08 }.
% 0.73/1.08 { ! alpha5( X, Y, Z ), incident_point_and_line( Z, X ) }.
% 0.73/1.08 { ! alpha5( X, Y, Z ), equally_directed_lines( X, line_connecting( Y, Z ) )
% 0.73/1.08 }.
% 0.73/1.08 { ! incident_point_and_line( Z, X ), ! equally_directed_lines( X,
% 0.73/1.08 line_connecting( Y, Z ) ), alpha5( X, Y, Z ) }.
% 0.73/1.08 { ! between_on_line( X, Y, Z, T ), alpha3( X, Y, Z, T ), alpha6( X, Y, Z, T
% 0.73/1.08 ) }.
% 0.73/1.08 { ! alpha3( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.73/1.08 { ! alpha6( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.73/1.08 { ! alpha6( X, Y, Z, T ), before_on_line( X, T, Z ) }.
% 0.73/1.08 { ! alpha6( X, Y, Z, T ), before_on_line( X, Z, Y ) }.
% 0.73/1.08 { ! before_on_line( X, T, Z ), ! before_on_line( X, Z, Y ), alpha6( X, Y, Z
% 0.73/1.08 , T ) }.
% 0.73/1.08 { ! alpha3( X, Y, Z, T ), before_on_line( X, Y, Z ) }.
% 0.73/1.08 { ! alpha3( X, Y, Z, T ), before_on_line( X, Z, T ) }.
% 0.73/1.08 { ! before_on_line( X, Y, Z ), ! before_on_line( X, Z, T ), alpha3( X, Y, Z
% 0.73/1.08 , T ) }.
% 0.73/1.08 { ! distinct_points( X, X ) }.
% 0.73/1.08 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.73/1.08 ) }.
% 0.73/1.08 { ! distinct_lines( X, X ) }.
% 0.73/1.08 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.73/1.08 }.
% 0.73/1.08 { equally_directed_lines( X, X ) }.
% 0.73/1.08 { ! unequally_directed_lines( X, Y ), unequally_directed_lines( X, Z ),
% 0.73/1.08 unequally_directed_lines( Y, Z ) }.
% 0.73/1.08 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.73/1.08 reverse_line( Y ) ), alpha7( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.73/1.08 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.73/1.08 reverse_line( Y ) ), alpha7( X, Z ), unequally_directed_lines( Y,
% 0.73/1.08 reverse_line( Z ) ) }.
% 0.73/1.08 { ! alpha7( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.73/1.08 { ! alpha7( X, Y ), unequally_directed_lines( X, reverse_line( Y ) ) }.
% 3.34/3.72 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 3.34/3.72 reverse_line( Y ) ), alpha7( X, Y ) }.
% 3.34/3.72 { unequally_directed_lines( X, Y ), unequally_directed_lines( X,
% 3.34/3.72 reverse_line( Y ) ) }.
% 3.34/3.72 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 3.34/3.72 reverse_line( Y ) ), left_convergent_lines( X, Y ), left_convergent_lines
% 3.34/3.72 ( X, reverse_line( Y ) ) }.
% 3.34/3.72 { ! left_apart_point( X, Y ) }.
% 3.34/3.72 { ! left_apart_point( X, reverse_line( Y ) ) }.
% 3.34/3.72 { ! left_convergent_lines( X, Y ) }.
% 3.34/3.72 { ! left_convergent_lines( X, reverse_line( Y ) ) }.
% 3.34/3.72 { ! point( X ), ! point( Y ), ! distinct_points( X, Y ), line(
% 3.34/3.72 line_connecting( X, Y ) ) }.
% 3.34/3.72 { ! line( X ), ! line( Y ), ! unequally_directed_lines( X, Y ), !
% 3.34/3.72 unequally_directed_lines( X, reverse_line( Y ) ), point(
% 3.34/3.72 intersection_point( X, Y ) ) }.
% 3.34/3.72 { ! point( Y ), ! line( X ), line( parallel_through_point( X, Y ) ) }.
% 3.34/3.72 { ! line( X ), line( reverse_line( X ) ) }.
% 3.34/3.72 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 3.34/3.72 , Y ) ) }.
% 3.34/3.72 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 3.34/3.72 , Y ) ) }.
% 3.34/3.72 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 3.34/3.72 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 3.34/3.72 X ) }.
% 3.34/3.72 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 3.34/3.72 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 3.34/3.72 Y ) }.
% 3.34/3.72 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 3.34/3.72 { ! distinct_lines( X, reverse_line( X ) ) }.
% 3.34/3.72 { ! distinct_points( X, Y ), equally_directed_lines( line_connecting( X, Y
% 3.34/3.72 ), reverse_line( line_connecting( Y, X ) ) ) }.
% 3.34/3.72 { equally_directed_lines( parallel_through_point( Y, X ), Y ) }.
% 3.34/3.72 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), left_apart_point( X
% 3.34/3.72 , Z ), left_apart_point( Y, Z ), left_apart_point( X, T ),
% 3.34/3.72 left_apart_point( Y, T ), left_apart_point( X, reverse_line( Z ) ),
% 3.34/3.72 left_apart_point( Y, reverse_line( Z ) ), left_apart_point( X,
% 3.34/3.72 reverse_line( T ) ), left_apart_point( Y, reverse_line( T ) ) }.
% 3.34/3.73 { ! distinct_points( X, Y ), ! left_apart_point( X, Z ), left_apart_point(
% 3.34/3.73 Y, Z ), left_convergent_lines( line_connecting( X, Y ), Z ) }.
% 3.34/3.73 { ! left_apart_point( X, Y ), distinct_points( X, Z ), left_apart_point( Z
% 3.34/3.73 , Y ) }.
% 3.34/3.73 { ! left_apart_point( X, Y ), ! unequally_directed_lines( Y, Z ),
% 3.34/3.73 distinct_lines( Y, Z ), left_apart_point( X, reverse_line( Z ) ) }.
% 3.34/3.73 { ! left_convergent_lines( X, Y ), unequally_directed_lines( Y, Z ),
% 3.34/3.73 left_convergent_lines( X, Z ) }.
% 3.34/3.73 { before_on_line( skol1, skol2, skol3 ) }.
% 3.34/3.73 { before_on_line( skol1, skol3, skol2 ) }.
% 3.34/3.73
% 3.34/3.73 percentage equality = 0.000000, percentage horn = 0.821918
% 3.34/3.73 This a non-horn, non-equality problem
% 3.34/3.73
% 3.34/3.73
% 3.34/3.73 Options Used:
% 3.34/3.73
% 3.34/3.73 useres = 1
% 3.34/3.73 useparamod = 0
% 3.34/3.73 useeqrefl = 0
% 3.34/3.73 useeqfact = 0
% 3.34/3.73 usefactor = 1
% 3.34/3.73 usesimpsplitting = 0
% 3.34/3.73 usesimpdemod = 0
% 3.34/3.73 usesimpres = 3
% 3.34/3.73
% 3.34/3.73 resimpinuse = 1000
% 3.34/3.73 resimpclauses = 20000
% 3.34/3.73 substype = standard
% 3.34/3.73 backwardsubs = 1
% 3.34/3.73 selectoldest = 5
% 3.34/3.73
% 3.34/3.73 litorderings [0] = split
% 3.34/3.73 litorderings [1] = liftord
% 3.34/3.73
% 3.34/3.73 termordering = none
% 3.34/3.73
% 3.34/3.73 litapriori = 1
% 3.34/3.73 termapriori = 0
% 3.34/3.73 litaposteriori = 0
% 3.34/3.73 termaposteriori = 0
% 3.34/3.73 demodaposteriori = 0
% 3.34/3.73 ordereqreflfact = 0
% 3.34/3.73
% 3.34/3.73 litselect = none
% 3.34/3.73
% 3.34/3.73 maxweight = 15
% 3.34/3.73 maxdepth = 30000
% 3.34/3.73 maxlength = 115
% 3.34/3.73 maxnrvars = 195
% 3.34/3.73 excuselevel = 1
% 3.34/3.73 increasemaxweight = 1
% 3.34/3.73
% 3.34/3.73 maxselected = 10000000
% 3.34/3.73 maxnrclauses = 10000000
% 3.34/3.73
% 3.34/3.73 showgenerated = 0
% 3.34/3.73 showkept = 0
% 3.34/3.73 showselected = 0
% 3.34/3.73 showdeleted = 0
% 3.34/3.73 showresimp = 1
% 3.34/3.73 showstatus = 2000
% 3.34/3.73
% 3.34/3.73 prologoutput = 0
% 3.34/3.73 nrgoals = 5000000
% 3.34/3.73 totalproof = 1
% 3.34/3.73
% 3.34/3.73 Symbols occurring in the translation:
% 3.34/3.73
% 3.34/3.73 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.34/3.73 . [1, 2] (w:1, o:25, a:1, s:1, b:0),
% 3.34/3.73 ! [4, 1] (w:0, o:17, a:1, s:1, b:0),
% 3.34/3.73 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.34/3.73 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.34/3.73 unequally_directed_opposite_lines [37, 2] (w:1, o:49, a:1, s:1, b:0)
% 3.34/3.73 ,
% 3.34/3.73 reverse_line [38, 1] (w:1, o:22, a:1, s:1, b:0),
% 3.34/3.73 unequally_directed_lines [39, 2] (w:1, o:50, a:1, s:1, b:0),
% 3.46/3.91 right_apart_point [40, 2] (w:1, o:51, a:1, s:1, b:0),
% 3.46/3.91 left_apart_point [41, 2] (w:1, o:52, a:1, s:1, b:0),
% 3.46/3.91 right_convergent_lines [42, 2] (w:1, o:53, a:1, s:1, b:0),
% 3.46/3.91 left_convergent_lines [43, 2] (w:1, o:54, a:1, s:1, b:0),
% 3.46/3.91 equally_directed_lines [44, 2] (w:1, o:57, a:1, s:1, b:0),
% 3.46/3.91 equally_directed_opposite_lines [45, 2] (w:1, o:58, a:1, s:1, b:0),
% 3.46/3.91 apart_point_and_line [48, 2] (w:1, o:59, a:1, s:1, b:0),
% 3.46/3.91 convergent_lines [50, 2] (w:1, o:60, a:1, s:1, b:0),
% 3.46/3.91 divides_points [52, 3] (w:1, o:66, a:1, s:1, b:0),
% 3.46/3.91 before_on_line [53, 3] (w:1, o:71, a:1, s:1, b:0),
% 3.46/3.91 distinct_points [54, 2] (w:1, o:55, a:1, s:1, b:0),
% 3.46/3.91 incident_point_and_line [55, 2] (w:1, o:61, a:1, s:1, b:0),
% 3.46/3.91 line_connecting [56, 2] (w:1, o:62, a:1, s:1, b:0),
% 3.46/3.91 between_on_line [58, 4] (w:1, o:74, a:1, s:1, b:0),
% 3.46/3.91 distinct_lines [59, 2] (w:1, o:56, a:1, s:1, b:0),
% 3.46/3.91 point [61, 1] (w:1, o:23, a:1, s:1, b:0),
% 3.46/3.91 line [62, 1] (w:1, o:24, a:1, s:1, b:0),
% 3.46/3.91 intersection_point [63, 2] (w:1, o:63, a:1, s:1, b:0),
% 3.46/3.91 parallel_through_point [64, 2] (w:1, o:64, a:1, s:1, b:0),
% 3.46/3.91 alpha1 [65, 3] (w:1, o:67, a:1, s:1, b:0),
% 3.46/3.91 alpha2 [66, 3] (w:1, o:68, a:1, s:1, b:0),
% 3.46/3.91 alpha3 [67, 4] (w:1, o:72, a:1, s:1, b:0),
% 3.46/3.91 alpha4 [68, 3] (w:1, o:69, a:1, s:1, b:0),
% 3.46/3.91 alpha5 [69, 3] (w:1, o:70, a:1, s:1, b:0),
% 3.46/3.91 alpha6 [70, 4] (w:1, o:73, a:1, s:1, b:0),
% 3.46/3.91 alpha7 [71, 2] (w:1, o:65, a:1, s:1, b:0),
% 3.46/3.91 skol1 [72, 0] (w:1, o:14, a:1, s:1, b:0),
% 3.46/3.91 skol2 [73, 0] (w:1, o:15, a:1, s:1, b:0),
% 3.46/3.91 skol3 [74, 0] (w:1, o:16, a:1, s:1, b:0).
% 3.46/3.91
% 3.46/3.91
% 3.46/3.91 Starting Search:
% 3.46/3.91
% 3.46/3.91 *** allocated 15000 integers for clauses
% 3.46/3.91 *** allocated 22500 integers for clauses
% 3.46/3.91 *** allocated 33750 integers for clauses
% 3.46/3.91 *** allocated 50625 integers for clauses
% 3.46/3.91 *** allocated 15000 integers for termspace/termends
% 3.46/3.91 *** allocated 75937 integers for clauses
% 3.46/3.91 Resimplifying inuse:
% 3.46/3.91 Done
% 3.46/3.91
% 3.46/3.91 *** allocated 22500 integers for termspace/termends
% 3.46/3.91 *** allocated 113905 integers for clauses
% 3.46/3.91 *** allocated 33750 integers for termspace/termends
% 3.46/3.91
% 3.46/3.91 Intermediate Status:
% 3.46/3.91 Generated: 6316
% 3.46/3.91 Kept: 2013
% 3.46/3.91 Inuse: 282
% 3.46/3.91 Deleted: 34
% 3.46/3.91 Deletedinuse: 7
% 3.46/3.91
% 3.46/3.91 Resimplifying inuse:
% 3.46/3.91 Done
% 3.46/3.91
% 3.46/3.91 *** allocated 170857 integers for clauses
% 3.46/3.91 *** allocated 50625 integers for termspace/termends
% 3.46/3.91 Resimplifying inuse:
% 3.46/3.91 Done
% 3.46/3.91
% 3.46/3.91 *** allocated 256285 integers for clauses
% 3.46/3.91
% 3.46/3.91 Intermediate Status:
% 3.46/3.91 Generated: 14003
% 3.46/3.91 Kept: 4023
% 3.46/3.91 Inuse: 367
% 3.46/3.91 Deleted: 34
% 3.46/3.91 Deletedinuse: 7
% 3.46/3.91
% 3.46/3.91 Resimplifying inuse:
% 3.46/3.91 Done
% 3.46/3.91
% 3.46/3.91 *** allocated 75937 integers for termspace/termends
% 3.46/3.91 Resimplifying inuse:
% 3.46/3.91 Done
% 3.46/3.91
% 3.46/3.91 *** allocated 384427 integers for clauses
% 3.46/3.91
% 3.46/3.91 Intermediate Status:
% 3.46/3.91 Generated: 20432
% 3.46/3.91 Kept: 6189
% 3.46/3.91 Inuse: 434
% 3.46/3.91 Deleted: 34
% 3.46/3.91 Deletedinuse: 7
% 3.46/3.91
% 3.46/3.91 Resimplifying inuse:
% 3.46/3.91 Done
% 3.46/3.91
% 3.46/3.91 *** allocated 113905 integers for termspace/termends
% 3.46/3.91 Resimplifying inuse:
% 3.46/3.91 Done
% 3.46/3.91
% 3.46/3.91
% 3.46/3.91 Intermediate Status:
% 3.46/3.91 Generated: 27643
% 3.46/3.91 Kept: 8201
% 3.46/3.91 Inuse: 530
% 3.46/3.91 Deleted: 34
% 3.46/3.91 Deletedinuse: 7
% 3.46/3.91
% 3.46/3.91 Resimplifying inuse:
% 3.46/3.91 Done
% 3.46/3.91
% 3.46/3.91 *** allocated 576640 integers for clauses
% 3.46/3.91 *** allocated 170857 integers for termspace/termends
% 3.46/3.91 Resimplifying inuse:
% 3.46/3.91 Done
% 3.46/3.91
% 3.46/3.91
% 3.46/3.91 Intermediate Status:
% 3.46/3.91 Generated: 41342
% 3.46/3.91 Kept: 10224
% 3.46/3.91 Inuse: 669
% 3.46/3.91 Deleted: 36
% 3.46/3.91 Deletedinuse: 7
% 3.46/3.91
% 3.46/3.91 Resimplifying inuse:
% 3.46/3.91 Done
% 3.46/3.91
% 3.46/3.91 Resimplifying inuse:
% 3.46/3.91 Done
% 3.46/3.91
% 3.46/3.91
% 3.46/3.91 Intermediate Status:
% 3.46/3.91 Generated: 48842
% 3.46/3.91 Kept: 12285
% 3.46/3.91 Inuse: 690
% 3.46/3.91 Deleted: 36
% 3.46/3.91 Deletedinuse: 7
% 3.46/3.91
% 3.46/3.91 Resimplifying inuse:
% 3.46/3.91 Done
% 3.46/3.91
% 3.46/3.91 *** allocated 256285 integers for termspace/termends
% 3.46/3.91 Resimplifying inuse:
% 3.46/3.91 Done
% 3.46/3.91
% 3.46/3.91 *** allocated 864960 integers for clauses
% 3.46/3.91
% 3.46/3.91 Intermediate Status:
% 3.46/3.91 Generated: 60266
% 3.46/3.91 Kept: 14463
% 3.46/3.91 Inuse: 725
% 3.46/3.91 Deleted: 36
% 3.46/3.91 Deletedinuse: 7
% 3.46/3.91
% 3.46/3.91 Resimplifying inuse:
% 3.46/3.91 Done
% 3.46/3.91
% 3.46/3.91 Resimplifying inuse:
% 3.46/3.91 Done
% 3.46/3.91
% 3.46/3.91
% 3.46/3.91 Intermediate Status:
% 3.46/3.91 Generated: 68182
% 3.46/3.91 Kept: 16502
% 3.46/3.91 Inuse: 742
% 3.46/3.91 Deleted: 36
% 3.46/3.91 Deletedinuse: 7
% 3.46/3.91
% 3.46/3.91 Resimplifying inuse:
% 3.46/3.91 Done
% 3.46/3.91
% 3.46/3.91 Resimplifying inuse:
% 3.46/3.91 Done
% 3.46/3.91
% 3.46/3.91
% 3.46/3.91 Intermediate Status:
% 3.46/3.91 Generated: 74187
% 3.46/3.91 Kept: 18533
% 3.46/3.91 Inuse: 766
% 3.46/3.91 Deleted: 36
% 3.46/3.91 Deletedinuse: 7
% 3.46/3.91
% 3.46/3.91 Resimplifying inuse:
% 3.46/3.91 Done
% 3.46/3.91
% 3.46/3.91
% 3.46/3.91 Bliksems!, er is een bewijs:
% 3.46/3.91 % SZS status Theorem
% 3.46/3.91 % SZS output start Refutation
% 3.46/3.91
% 3.46/3.91 (6) {G0,W6,D2,L2,V2,M1} I { ! unequally_directed_lines( X, Y ), !
% 3.46/3.91 equally_directed_lines( X, Y ) }.
% 3.46/3.91 (25) {G0,W7,D2,L2,V3,M1} I { distinct_points( Y, Z ), ! before_on_line( X,
% 3.46/3.91 Y, Z ) }.
% 3.46/3.91 (26) {G0,W8,D2,L2,V3,M1} I { alpha2( X, Y, Z ), ! before_on_line( X, Y, Z )
% 3.46/3.91 }.
% 3.46/3.91 (29) {G0,W8,D2,L2,V3,M1} I { ! alpha2( X, Y, Z ), alpha5( X, Y, Z ) }.
% 3.46/3.91 (32) {G0,W9,D3,L2,V3,M1} I { equally_directed_lines( X, line_connecting( Y
% 3.46/3.91 , Z ) ), ! alpha5( X, Y, Z ) }.
% 3.46/3.91 (47) {G0,W3,D2,L1,V1,M1} I { equally_directed_lines( X, X ) }.
% 3.46/3.91 (48) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 3.46/3.91 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 3.46/3.91 (54) {G0,W7,D3,L2,V2,M2} I { unequally_directed_lines( X, reverse_line( Y )
% 3.46/3.91 ), unequally_directed_lines( X, Y ) }.
% 3.46/3.91 (68) {G0,W11,D4,L2,V2,M1} I { ! distinct_points( X, Y ),
% 3.46/3.91 equally_directed_lines( line_connecting( X, Y ), reverse_line(
% 3.46/3.91 line_connecting( Y, X ) ) ) }.
% 3.46/3.91 (71) {G0,W4,D2,L1,V0,M1} I { before_on_line( skol1, skol2, skol3 ) }.
% 3.46/3.91 (72) {G0,W4,D2,L1,V0,M1} I { before_on_line( skol1, skol3, skol2 ) }.
% 3.46/3.91 (84) {G1,W3,D2,L1,V1,M1} R(6,47) { ! unequally_directed_lines( X, X ) }.
% 3.46/3.91 (91) {G1,W3,D2,L1,V0,M1} R(25,72) { distinct_points( skol3, skol2 ) }.
% 3.46/3.91 (110) {G1,W4,D2,L1,V0,M1} R(26,71) { alpha2( skol1, skol2, skol3 ) }.
% 3.46/3.91 (111) {G1,W4,D2,L1,V0,M1} R(26,72) { alpha2( skol1, skol3, skol2 ) }.
% 3.46/3.91 (126) {G1,W9,D3,L2,V3,M1} R(32,29) { equally_directed_lines( X,
% 3.46/3.91 line_connecting( Y, Z ) ), ! alpha2( X, Y, Z ) }.
% 3.46/3.91 (140) {G2,W6,D2,L2,V2,M2} R(48,84) { ! unequally_directed_lines( Y, X ),
% 3.46/3.91 unequally_directed_lines( X, Y ) }.
% 3.46/3.91 (144) {G3,W9,D2,L3,V3,M3} R(140,48) { unequally_directed_lines( Z, X ), !
% 3.46/3.91 unequally_directed_lines( Y, Z ), unequally_directed_lines( X, Y ) }.
% 3.46/3.91 (398) {G1,W11,D4,L2,V2,M1} R(68,6) { ! unequally_directed_lines(
% 3.46/3.91 line_connecting( X, Y ), reverse_line( line_connecting( Y, X ) ) ), !
% 3.46/3.91 distinct_points( X, Y ) }.
% 3.46/3.91 (922) {G2,W5,D3,L1,V0,M1} R(126,111) { equally_directed_lines( skol1,
% 3.46/3.91 line_connecting( skol3, skol2 ) ) }.
% 3.46/3.91 (923) {G2,W5,D3,L1,V0,M1} R(126,110) { equally_directed_lines( skol1,
% 3.46/3.91 line_connecting( skol2, skol3 ) ) }.
% 3.46/3.91 (924) {G3,W5,D3,L1,V0,M1} R(922,6) { ! unequally_directed_lines( skol1,
% 3.46/3.91 line_connecting( skol3, skol2 ) ) }.
% 3.46/3.91 (946) {G3,W5,D3,L1,V0,M1} R(923,6) { ! unequally_directed_lines( skol1,
% 3.46/3.91 line_connecting( skol2, skol3 ) ) }.
% 3.46/3.91 (957) {G4,W5,D3,L1,V0,M1} R(946,140) { ! unequally_directed_lines(
% 3.46/3.91 line_connecting( skol2, skol3 ), skol1 ) }.
% 3.46/3.91 (2547) {G5,W8,D3,L2,V1,M2} R(144,957) { unequally_directed_lines( skol1, X
% 3.46/3.91 ), ! unequally_directed_lines( X, line_connecting( skol2, skol3 ) ) }.
% 3.46/3.91 (5231) {G6,W7,D3,L1,V0,M1} R(2547,924) { ! unequally_directed_lines(
% 3.46/3.91 line_connecting( skol3, skol2 ), line_connecting( skol2, skol3 ) ) }.
% 3.46/3.91 (5317) {G7,W8,D4,L1,V0,M1} R(5231,54) { unequally_directed_lines(
% 3.46/3.91 line_connecting( skol3, skol2 ), reverse_line( line_connecting( skol2,
% 3.46/3.91 skol3 ) ) ) }.
% 3.46/3.91 (19841) {G8,W0,D0,L0,V0,M0} R(398,91);r(5317) { }.
% 3.46/3.91
% 3.46/3.91
% 3.46/3.91 % SZS output end Refutation
% 3.46/3.91 found a proof!
% 3.46/3.91
% 3.46/3.91 *** allocated 384427 integers for termspace/termends
% 3.46/3.91
% 3.46/3.91 Unprocessed initial clauses:
% 3.46/3.91
% 3.46/3.91 (19843) {G0,W7,D3,L2,V2,M2} { ! unequally_directed_opposite_lines( X, Y )
% 3.46/3.91 , unequally_directed_lines( X, reverse_line( Y ) ) }.
% 3.46/3.91 (19844) {G0,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, reverse_line
% 3.46/3.91 ( Y ) ), unequally_directed_opposite_lines( X, Y ) }.
% 3.46/3.91 (19845) {G0,W7,D3,L2,V2,M2} { ! right_apart_point( X, Y ),
% 3.46/3.91 left_apart_point( X, reverse_line( Y ) ) }.
% 3.46/3.91 (19846) {G0,W7,D3,L2,V2,M2} { ! left_apart_point( X, reverse_line( Y ) ),
% 3.46/3.91 right_apart_point( X, Y ) }.
% 3.46/3.91 (19847) {G0,W7,D3,L2,V2,M2} { ! right_convergent_lines( X, Y ),
% 3.46/3.91 left_convergent_lines( X, reverse_line( Y ) ) }.
% 3.46/3.91 (19848) {G0,W7,D3,L2,V2,M2} { ! left_convergent_lines( X, reverse_line( Y
% 3.46/3.91 ) ), right_convergent_lines( X, Y ) }.
% 3.46/3.91 (19849) {G0,W6,D2,L2,V2,M2} { ! equally_directed_lines( X, Y ), !
% 3.46/3.91 unequally_directed_lines( X, Y ) }.
% 3.46/3.91 (19850) {G0,W6,D2,L2,V2,M2} { unequally_directed_lines( X, Y ),
% 3.46/3.91 equally_directed_lines( X, Y ) }.
% 3.46/3.91 (19851) {G0,W6,D2,L2,V2,M2} { ! equally_directed_opposite_lines( X, Y ), !
% 3.46/3.91 unequally_directed_opposite_lines( X, Y ) }.
% 3.46/3.91 (19852) {G0,W6,D2,L2,V2,M2} { unequally_directed_opposite_lines( X, Y ),
% 3.46/3.91 equally_directed_opposite_lines( X, Y ) }.
% 3.46/3.91 (19853) {G0,W9,D2,L3,V2,M3} { ! apart_point_and_line( X, Y ),
% 3.46/3.91 left_apart_point( X, Y ), right_apart_point( X, Y ) }.
% 3.46/3.91 (19854) {G0,W6,D2,L2,V2,M2} { ! left_apart_point( X, Y ),
% 3.46/3.91 apart_point_and_line( X, Y ) }.
% 3.46/3.91 (19855) {G0,W6,D2,L2,V2,M2} { ! right_apart_point( X, Y ),
% 3.46/3.91 apart_point_and_line( X, Y ) }.
% 3.46/3.91 (19856) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 3.46/3.91 unequally_directed_lines( X, Y ) }.
% 3.46/3.91 (19857) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 3.46/3.91 unequally_directed_opposite_lines( X, Y ) }.
% 3.46/3.91 (19858) {G0,W9,D2,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 3.46/3.91 unequally_directed_opposite_lines( X, Y ), convergent_lines( X, Y ) }.
% 3.46/3.91 (19859) {G0,W12,D2,L3,V3,M3} { ! divides_points( Z, X, Y ), alpha1( X, Y,
% 3.46/3.91 Z ), alpha4( X, Y, Z ) }.
% 3.46/3.91 (19860) {G0,W8,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), divides_points( Z, X, Y
% 3.46/3.91 ) }.
% 3.46/3.91 (19861) {G0,W8,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), divides_points( Z, X, Y
% 3.46/3.91 ) }.
% 3.46/3.91 (19862) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), right_apart_point( X, Z
% 3.46/3.91 ) }.
% 3.46/3.91 (19863) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), left_apart_point( Y, Z
% 3.46/3.91 ) }.
% 3.46/3.91 (19864) {G0,W10,D2,L3,V3,M3} { ! right_apart_point( X, Z ), !
% 3.46/3.91 left_apart_point( Y, Z ), alpha4( X, Y, Z ) }.
% 3.46/3.91 (19865) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), left_apart_point( X, Z
% 3.46/3.91 ) }.
% 3.46/3.91 (19866) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), right_apart_point( Y, Z
% 3.46/3.91 ) }.
% 3.46/3.91 (19867) {G0,W10,D2,L3,V3,M3} { ! left_apart_point( X, Z ), !
% 3.46/3.91 right_apart_point( Y, Z ), alpha1( X, Y, Z ) }.
% 3.46/3.91 (19868) {G0,W7,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), distinct_points
% 3.46/3.91 ( Y, Z ) }.
% 3.46/3.91 (19869) {G0,W8,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), alpha2( X, Y, Z
% 3.46/3.91 ) }.
% 3.46/3.91 (19870) {G0,W11,D2,L3,V3,M3} { ! distinct_points( Y, Z ), ! alpha2( X, Y,
% 3.46/3.91 Z ), before_on_line( X, Y, Z ) }.
% 3.46/3.91 (19871) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), incident_point_and_line
% 3.46/3.91 ( Y, X ) }.
% 3.46/3.91 (19872) {G0,W8,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), alpha5( X, Y, Z ) }.
% 3.46/3.91 (19873) {G0,W11,D2,L3,V3,M3} { ! incident_point_and_line( Y, X ), ! alpha5
% 3.46/3.91 ( X, Y, Z ), alpha2( X, Y, Z ) }.
% 3.46/3.91 (19874) {G0,W7,D2,L2,V3,M2} { ! alpha5( X, Y, Z ), incident_point_and_line
% 3.46/3.91 ( Z, X ) }.
% 3.46/3.91 (19875) {G0,W9,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), equally_directed_lines
% 3.46/3.91 ( X, line_connecting( Y, Z ) ) }.
% 3.46/3.91 (19876) {G0,W12,D3,L3,V3,M3} { ! incident_point_and_line( Z, X ), !
% 3.46/3.91 equally_directed_lines( X, line_connecting( Y, Z ) ), alpha5( X, Y, Z )
% 3.46/3.91 }.
% 3.46/3.91 (19877) {G0,W15,D2,L3,V4,M3} { ! between_on_line( X, Y, Z, T ), alpha3( X
% 3.46/3.91 , Y, Z, T ), alpha6( X, Y, Z, T ) }.
% 3.46/3.91 (19878) {G0,W10,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), between_on_line( X
% 3.46/3.91 , Y, Z, T ) }.
% 3.46/3.91 (19879) {G0,W10,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), between_on_line( X
% 3.46/3.91 , Y, Z, T ) }.
% 3.46/3.91 (19880) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, T
% 3.46/3.91 , Z ) }.
% 3.46/3.91 (19881) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, Z
% 3.46/3.91 , Y ) }.
% 3.46/3.91 (19882) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, T, Z ), !
% 3.46/3.91 before_on_line( X, Z, Y ), alpha6( X, Y, Z, T ) }.
% 3.46/3.91 (19883) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Y
% 3.46/3.91 , Z ) }.
% 3.46/3.91 (19884) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Z
% 3.46/3.91 , T ) }.
% 3.46/3.91 (19885) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, Y, Z ), !
% 3.46/3.91 before_on_line( X, Z, T ), alpha3( X, Y, Z, T ) }.
% 3.46/3.91 (19886) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 3.46/3.91 (19887) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points(
% 3.46/3.91 X, Z ), distinct_points( Y, Z ) }.
% 3.46/3.91 (19888) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 3.46/3.91 (19889) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X
% 3.46/3.91 , Z ), distinct_lines( Y, Z ) }.
% 3.46/3.91 (19890) {G0,W3,D2,L1,V1,M1} { equally_directed_lines( X, X ) }.
% 3.46/3.91 (19891) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 3.46/3.91 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 3.46/3.91 (19892) {G0,W13,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 3.46/3.91 unequally_directed_lines( X, reverse_line( Y ) ), alpha7( X, Z ),
% 3.46/3.91 unequally_directed_lines( Y, Z ) }.
% 3.46/3.91 (19893) {G0,W14,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 3.46/3.91 unequally_directed_lines( X, reverse_line( Y ) ), alpha7( X, Z ),
% 3.46/3.91 unequally_directed_lines( Y, reverse_line( Z ) ) }.
% 3.46/3.91 (19894) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), unequally_directed_lines(
% 3.46/3.91 X, Y ) }.
% 3.46/3.91 (19895) {G0,W7,D3,L2,V2,M2} { ! alpha7( X, Y ), unequally_directed_lines(
% 3.46/3.91 X, reverse_line( Y ) ) }.
% 3.46/3.91 (19896) {G0,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 3.46/3.91 unequally_directed_lines( X, reverse_line( Y ) ), alpha7( X, Y ) }.
% 3.46/3.91 (19897) {G0,W7,D3,L2,V2,M2} { unequally_directed_lines( X, Y ),
% 3.46/3.91 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 3.46/3.91 (19898) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y ), !
% 3.46/3.91 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 3.46/3.91 X, Y ), left_convergent_lines( X, reverse_line( Y ) ) }.
% 3.46/3.91 (19899) {G0,W3,D2,L1,V2,M1} { ! left_apart_point( X, Y ) }.
% 3.46/3.91 (19900) {G0,W4,D3,L1,V2,M1} { ! left_apart_point( X, reverse_line( Y ) )
% 3.46/3.91 }.
% 3.46/3.91 (19901) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 3.46/3.91 (19902) {G0,W4,D3,L1,V2,M1} { ! left_convergent_lines( X, reverse_line( Y
% 3.46/3.91 ) ) }.
% 3.46/3.91 (19903) {G0,W11,D3,L4,V2,M4} { ! point( X ), ! point( Y ), !
% 3.46/3.91 distinct_points( X, Y ), line( line_connecting( X, Y ) ) }.
% 3.46/3.91 (19904) {G0,W15,D3,L5,V2,M5} { ! line( X ), ! line( Y ), !
% 3.46/3.91 unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 3.46/3.91 reverse_line( Y ) ), point( intersection_point( X, Y ) ) }.
% 3.46/3.91 (19905) {G0,W8,D3,L3,V2,M3} { ! point( Y ), ! line( X ), line(
% 3.46/3.91 parallel_through_point( X, Y ) ) }.
% 3.46/3.91 (19906) {G0,W5,D3,L2,V1,M2} { ! line( X ), line( reverse_line( X ) ) }.
% 3.46/3.91 (19907) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 3.46/3.91 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 3.46/3.91 (19908) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 3.46/3.91 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 3.46/3.91 (19909) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 3.46/3.91 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 3.46/3.91 ( intersection_point( X, Y ), X ) }.
% 3.46/3.91 (19910) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 3.46/3.91 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 3.46/3.91 ( intersection_point( X, Y ), Y ) }.
% 3.46/3.91 (19911) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 3.46/3.91 parallel_through_point( Y, X ) ) }.
% 3.46/3.91 (19912) {G0,W4,D3,L1,V1,M1} { ! distinct_lines( X, reverse_line( X ) ) }.
% 3.46/3.91 (19913) {G0,W11,D4,L2,V2,M2} { ! distinct_points( X, Y ),
% 3.46/3.91 equally_directed_lines( line_connecting( X, Y ), reverse_line(
% 3.46/3.91 line_connecting( Y, X ) ) ) }.
% 3.46/3.91 (19914) {G0,W5,D3,L1,V2,M1} { equally_directed_lines(
% 3.46/3.91 parallel_through_point( Y, X ), Y ) }.
% 3.46/3.91 (19915) {G0,W34,D3,L10,V4,M10} { ! distinct_points( X, Y ), !
% 3.46/3.91 distinct_lines( Z, T ), left_apart_point( X, Z ), left_apart_point( Y, Z
% 3.46/3.91 ), left_apart_point( X, T ), left_apart_point( Y, T ), left_apart_point
% 3.46/3.91 ( X, reverse_line( Z ) ), left_apart_point( Y, reverse_line( Z ) ),
% 3.46/3.91 left_apart_point( X, reverse_line( T ) ), left_apart_point( Y,
% 3.46/3.91 reverse_line( T ) ) }.
% 3.46/3.91 (19916) {G0,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 3.46/3.91 left_apart_point( X, Z ), left_apart_point( Y, Z ), left_convergent_lines
% 3.46/3.91 ( line_connecting( X, Y ), Z ) }.
% 3.46/3.91 (19917) {G0,W9,D2,L3,V3,M3} { ! left_apart_point( X, Y ), distinct_points
% 3.46/3.91 ( X, Z ), left_apart_point( Z, Y ) }.
% 3.46/3.91 (19918) {G0,W13,D3,L4,V3,M4} { ! left_apart_point( X, Y ), !
% 3.46/3.91 unequally_directed_lines( Y, Z ), distinct_lines( Y, Z ),
% 3.46/3.91 left_apart_point( X, reverse_line( Z ) ) }.
% 3.46/3.91 (19919) {G0,W9,D2,L3,V3,M3} { ! left_convergent_lines( X, Y ),
% 3.46/3.91 unequally_directed_lines( Y, Z ), left_convergent_lines( X, Z ) }.
% 3.46/3.91 (19920) {G0,W4,D2,L1,V0,M1} { before_on_line( skol1, skol2, skol3 ) }.
% 3.46/3.91 (19921) {G0,W4,D2,L1,V0,M1} { before_on_line( skol1, skol3, skol2 ) }.
% 3.46/3.91
% 3.46/3.91
% 3.46/3.91 Total Proof:
% 3.46/3.91
% 3.46/3.91 subsumption: (6) {G0,W6,D2,L2,V2,M1} I { ! unequally_directed_lines( X, Y )
% 3.46/3.91 , ! equally_directed_lines( X, Y ) }.
% 3.46/3.91 parent0: (19849) {G0,W6,D2,L2,V2,M2} { ! equally_directed_lines( X, Y ), !
% 3.46/3.91 unequally_directed_lines( X, Y ) }.
% 3.46/3.91 substitution0:
% 3.46/3.91 X := X
% 3.46/3.91 Y := Y
% 3.46/3.91 end
% 3.46/3.91 permutation0:
% 3.46/3.91 0 ==> 1
% 3.46/3.91 1 ==> 0
% 3.46/3.91 end
% 3.46/3.91
% 3.46/3.91 subsumption: (25) {G0,W7,D2,L2,V3,M1} I { distinct_points( Y, Z ), !
% 3.46/3.91 before_on_line( X, Y, Z ) }.
% 3.46/3.91 parent0: (19868) {G0,W7,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ),
% 3.46/3.91 distinct_points( Y, Z ) }.
% 3.46/3.91 substitution0:
% 3.46/3.91 X := X
% 3.46/3.91 Y := Y
% 3.46/3.91 Z := Z
% 3.46/3.91 end
% 3.46/3.91 permutation0:
% 3.46/3.91 0 ==> 1
% 3.46/3.91 1 ==> 0
% 3.46/3.91 end
% 3.46/3.91
% 3.46/3.91 subsumption: (26) {G0,W8,D2,L2,V3,M1} I { alpha2( X, Y, Z ), !
% 3.46/3.91 before_on_line( X, Y, Z ) }.
% 3.46/3.91 parent0: (19869) {G0,W8,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), alpha2
% 3.46/3.91 ( X, Y, Z ) }.
% 3.46/3.91 substitution0:
% 3.46/3.91 X := X
% 3.46/3.91 Y := Y
% 3.46/3.91 Z := Z
% 3.46/3.91 end
% 3.46/3.91 permutation0:
% 3.46/3.91 0 ==> 1
% 3.46/3.91 1 ==> 0
% 3.46/3.91 end
% 3.46/3.91
% 3.46/3.91 subsumption: (29) {G0,W8,D2,L2,V3,M1} I { ! alpha2( X, Y, Z ), alpha5( X, Y
% 3.46/3.91 , Z ) }.
% 3.46/3.91 parent0: (19872) {G0,W8,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), alpha5( X, Y,
% 3.46/3.91 Z ) }.
% 3.46/3.91 substitution0:
% 3.46/3.91 X := X
% 3.46/3.91 Y := Y
% 3.46/3.91 Z := Z
% 3.46/3.91 end
% 3.46/3.91 permutation0:
% 3.46/3.91 0 ==> 0
% 3.46/3.91 1 ==> 1
% 3.46/3.91 end
% 3.46/3.91
% 3.46/3.91 subsumption: (32) {G0,W9,D3,L2,V3,M1} I { equally_directed_lines( X,
% 3.46/3.91 line_connecting( Y, Z ) ), ! alpha5( X, Y, Z ) }.
% 3.46/3.91 parent0: (19875) {G0,W9,D3,L2,V3,M2} { ! alpha5( X, Y, Z ),
% 3.46/3.91 equally_directed_lines( X, line_connecting( Y, Z ) ) }.
% 3.46/3.91 substitution0:
% 3.46/3.91 X := X
% 3.46/3.91 Y := Y
% 3.46/3.91 Z := Z
% 3.46/3.91 end
% 3.46/3.91 permutation0:
% 3.46/3.91 0 ==> 1
% 3.46/3.91 1 ==> 0
% 3.46/3.91 end
% 3.46/3.91
% 3.46/3.91 subsumption: (47) {G0,W3,D2,L1,V1,M1} I { equally_directed_lines( X, X )
% 3.46/3.91 }.
% 3.46/3.91 parent0: (19890) {G0,W3,D2,L1,V1,M1} { equally_directed_lines( X, X ) }.
% 3.46/3.91 substitution0:
% 3.46/3.91 X := X
% 3.46/3.91 end
% 3.46/3.91 permutation0:
% 3.46/3.91 0 ==> 0
% 3.46/3.91 end
% 3.46/3.91
% 3.46/3.91 subsumption: (48) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z )
% 3.46/3.91 , unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y )
% 3.46/3.91 }.
% 3.46/3.91 parent0: (19891) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y )
% 3.46/3.91 , unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 3.46/3.91 substitution0:
% 3.46/3.91 X := X
% 3.46/3.91 Y := Y
% 3.46/3.91 Z := Z
% 3.46/3.91 end
% 3.46/3.91 permutation0:
% 3.46/3.91 0 ==> 2
% 3.46/3.91 1 ==> 0
% 3.46/3.91 2 ==> 1
% 3.46/3.91 end
% 3.46/3.91
% 3.46/3.91 subsumption: (54) {G0,W7,D3,L2,V2,M2} I { unequally_directed_lines( X,
% 3.46/3.91 reverse_line( Y ) ), unequally_directed_lines( X, Y ) }.
% 3.46/3.91 parent0: (19897) {G0,W7,D3,L2,V2,M2} { unequally_directed_lines( X, Y ),
% 3.46/3.91 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 3.46/3.91 substitution0:
% 3.46/3.91 X := X
% 3.46/3.91 Y := Y
% 3.46/3.91 end
% 3.46/3.91 permutation0:
% 3.46/3.91 0 ==> 1
% 3.46/3.91 1 ==> 0
% 3.46/3.91 end
% 3.46/3.91
% 3.46/3.91 subsumption: (68) {G0,W11,D4,L2,V2,M1} I { ! distinct_points( X, Y ),
% 3.46/3.91 equally_directed_lines( line_connecting( X, Y ), reverse_line(
% 3.46/3.91 line_connecting( Y, X ) ) ) }.
% 3.46/3.91 parent0: (19913) {G0,W11,D4,L2,V2,M2} { ! distinct_points( X, Y ),
% 3.46/3.91 equally_directed_lines( line_connecting( X, Y ), reverse_line(
% 3.46/3.91 line_connecting( Y, X ) ) ) }.
% 3.46/3.91 substitution0:
% 3.46/3.91 X := X
% 3.46/3.91 Y := Y
% 3.46/3.91 end
% 3.46/3.91 permutation0:
% 3.46/3.91 0 ==> 0
% 3.46/3.91 1 ==> 1
% 3.46/3.91 end
% 3.46/3.91
% 3.46/3.91 subsumption: (71) {G0,W4,D2,L1,V0,M1} I { before_on_line( skol1, skol2,
% 3.46/3.91 skol3 ) }.
% 3.46/3.91 parent0: (19920) {G0,W4,D2,L1,V0,M1} { before_on_line( skol1, skol2, skol3
% 3.46/3.91 ) }.
% 3.46/3.91 substitution0:
% 3.46/3.91 end
% 3.46/3.91 permutation0:
% 3.46/3.91 0 ==> 0
% 3.46/3.91 end
% 3.46/3.91
% 3.46/3.91 subsumption: (72) {G0,W4,D2,L1,V0,M1} I { before_on_line( skol1, skol3,
% 3.46/3.91 skol2 ) }.
% 3.46/3.91 parent0: (19921) {G0,W4,D2,L1,V0,M1} { before_on_line( skol1, skol3, skol2
% 3.46/3.91 ) }.
% 3.46/3.91 substitution0:
% 3.46/3.91 end
% 3.46/3.91 permutation0:
% 3.46/3.91 0 ==> 0
% 3.46/3.91 end
% 3.46/3.91
% 3.46/3.91 resolution: (20009) {G1,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, X
% 3.46/3.91 ) }.
% 3.46/3.91 parent0[1]: (6) {G0,W6,D2,L2,V2,M1} I { ! unequally_directed_lines( X, Y )
% 3.46/3.91 , ! equally_directed_lines( X, Y ) }.
% 3.46/3.91 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { equally_directed_lines( X, X ) }.
% 3.46/3.91 substitution0:
% 3.46/3.91 X := X
% 3.46/3.91 Y := X
% 3.46/3.91 end
% 3.46/3.91 substitution1:
% 3.46/3.91 X := X
% 3.46/3.91 end
% 3.46/3.91
% 3.46/3.91 subsumption: (84) {G1,W3,D2,L1,V1,M1} R(6,47) { ! unequally_directed_lines
% 3.46/3.91 ( X, X ) }.
% 3.46/3.91 parent0: (20009) {G1,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, X )
% 3.46/3.91 }.
% 3.46/3.91 substitution0:
% 3.46/3.91 X := X
% 3.46/3.91 end
% 3.46/3.91 permutation0:
% 3.46/3.91 0 ==> 0
% 3.46/3.91 end
% 3.46/3.91
% 3.46/3.91 resolution: (20010) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol2 )
% 3.46/3.91 }.
% 3.46/3.91 parent0[1]: (25) {G0,W7,D2,L2,V3,M1} I { distinct_points( Y, Z ), !
% 3.46/3.91 before_on_line( X, Y, Z ) }.
% 3.46/3.91 parent1[0]: (72) {G0,W4,D2,L1,V0,M1} I { before_on_line( skol1, skol3,
% 3.46/3.91 skol2 ) }.
% 3.46/3.91 substitution0:
% 3.46/3.91 X := skol1
% 3.46/3.91 Y := skol3
% 3.46/3.91 Z := skol2
% 3.46/3.91 end
% 3.46/3.91 substitution1:
% 3.46/3.91 end
% 3.46/3.91
% 3.46/3.91 subsumption: (91) {G1,W3,D2,L1,V0,M1} R(25,72) { distinct_points( skol3,
% 3.46/3.91 skol2 ) }.
% 3.46/3.91 parent0: (20010) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol2 ) }.
% 3.46/3.91 substitution0:
% 3.46/3.91 end
% 3.46/3.91 permutation0:
% 3.46/3.91 0 ==> 0
% 3.46/3.91 end
% 3.46/3.91
% 3.46/3.91 resolution: (20011) {G1,W4,D2,L1,V0,M1} { alpha2( skol1, skol2, skol3 )
% 3.46/3.91 }.
% 3.46/3.91 parent0[1]: (26) {G0,W8,D2,L2,V3,M1} I { alpha2( X, Y, Z ), !
% 3.46/3.91 before_on_line( X, Y, Z ) }.
% 3.46/3.91 parent1[0]: (71) {G0,W4,D2,L1,V0,M1} I { before_on_line( skol1, skol2,
% 3.46/3.91 skol3 ) }.
% 3.46/3.91 substitution0:
% 3.46/3.91 X := skol1
% 3.46/3.91 Y := skol2
% 3.46/3.91 Z := skol3
% 3.46/3.91 end
% 3.46/3.91 substitution1:
% 3.46/3.91 end
% 3.46/3.91
% 3.46/3.91 subsumption: (110) {G1,W4,D2,L1,V0,M1} R(26,71) { alpha2( skol1, skol2,
% 3.46/3.91 skol3 ) }.
% 3.46/3.91 parent0: (20011) {G1,W4,D2,L1,V0,M1} { alpha2( skol1, skol2, skol3 ) }.
% 3.46/3.91 substitution0:
% 3.46/3.91 end
% 3.46/3.91 permutation0:
% 3.46/3.91 0 ==> 0
% 3.46/3.91 end
% 3.46/3.91
% 3.46/3.91 resolution: (20012) {G1,W4,D2,L1,V0,M1} { alpha2( skol1, skol3, skol2 )
% 3.46/3.91 }.
% 3.46/3.91 parent0[1]: (26) {G0,W8,D2,L2,V3,M1} I { alpha2( X, Y, Z ), !
% 3.46/3.91 before_on_line( X, Y, Z ) }.
% 3.46/3.91 parent1[0]: (72) {G0,W4,D2,L1,V0,M1} I { before_on_line( skol1, skol3,
% 3.46/3.91 skol2 ) }.
% 3.46/3.91 substitution0:
% 3.46/3.91 X := skol1
% 3.46/3.91 Y := skol3
% 3.55/3.91 Z := skol2
% 3.55/3.91 end
% 3.55/3.91 substitution1:
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 subsumption: (111) {G1,W4,D2,L1,V0,M1} R(26,72) { alpha2( skol1, skol3,
% 3.55/3.91 skol2 ) }.
% 3.55/3.91 parent0: (20012) {G1,W4,D2,L1,V0,M1} { alpha2( skol1, skol3, skol2 ) }.
% 3.55/3.91 substitution0:
% 3.55/3.91 end
% 3.55/3.91 permutation0:
% 3.55/3.91 0 ==> 0
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 resolution: (20013) {G1,W9,D3,L2,V3,M2} { equally_directed_lines( X,
% 3.55/3.91 line_connecting( Y, Z ) ), ! alpha2( X, Y, Z ) }.
% 3.55/3.91 parent0[1]: (32) {G0,W9,D3,L2,V3,M1} I { equally_directed_lines( X,
% 3.55/3.91 line_connecting( Y, Z ) ), ! alpha5( X, Y, Z ) }.
% 3.55/3.91 parent1[1]: (29) {G0,W8,D2,L2,V3,M1} I { ! alpha2( X, Y, Z ), alpha5( X, Y
% 3.55/3.91 , Z ) }.
% 3.55/3.91 substitution0:
% 3.55/3.91 X := X
% 3.55/3.91 Y := Y
% 3.55/3.91 Z := Z
% 3.55/3.91 end
% 3.55/3.91 substitution1:
% 3.55/3.91 X := X
% 3.55/3.91 Y := Y
% 3.55/3.91 Z := Z
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 subsumption: (126) {G1,W9,D3,L2,V3,M1} R(32,29) { equally_directed_lines( X
% 3.55/3.91 , line_connecting( Y, Z ) ), ! alpha2( X, Y, Z ) }.
% 3.55/3.91 parent0: (20013) {G1,W9,D3,L2,V3,M2} { equally_directed_lines( X,
% 3.55/3.91 line_connecting( Y, Z ) ), ! alpha2( X, Y, Z ) }.
% 3.55/3.91 substitution0:
% 3.55/3.91 X := X
% 3.55/3.91 Y := Y
% 3.55/3.91 Z := Z
% 3.55/3.91 end
% 3.55/3.91 permutation0:
% 3.55/3.91 0 ==> 0
% 3.55/3.91 1 ==> 1
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 resolution: (20014) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X )
% 3.55/3.91 , ! unequally_directed_lines( X, Y ) }.
% 3.55/3.91 parent0[0]: (84) {G1,W3,D2,L1,V1,M1} R(6,47) { ! unequally_directed_lines(
% 3.55/3.91 X, X ) }.
% 3.55/3.91 parent1[0]: (48) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 3.55/3.91 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 3.55/3.91 substitution0:
% 3.55/3.91 X := X
% 3.55/3.91 end
% 3.55/3.91 substitution1:
% 3.55/3.91 X := X
% 3.55/3.91 Y := Y
% 3.55/3.91 Z := X
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 subsumption: (140) {G2,W6,D2,L2,V2,M2} R(48,84) { !
% 3.55/3.91 unequally_directed_lines( Y, X ), unequally_directed_lines( X, Y ) }.
% 3.55/3.91 parent0: (20014) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X ), !
% 3.55/3.91 unequally_directed_lines( X, Y ) }.
% 3.55/3.91 substitution0:
% 3.55/3.91 X := Y
% 3.55/3.91 Y := X
% 3.55/3.91 end
% 3.55/3.91 permutation0:
% 3.55/3.91 0 ==> 1
% 3.55/3.91 1 ==> 0
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 resolution: (20016) {G1,W9,D2,L3,V3,M3} { unequally_directed_lines( Y, X )
% 3.55/3.91 , unequally_directed_lines( Z, Y ), ! unequally_directed_lines( X, Z )
% 3.55/3.91 }.
% 3.55/3.91 parent0[0]: (140) {G2,W6,D2,L2,V2,M2} R(48,84) { ! unequally_directed_lines
% 3.55/3.91 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 3.55/3.91 parent1[0]: (48) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 3.55/3.91 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 3.55/3.91 substitution0:
% 3.55/3.91 X := Y
% 3.55/3.91 Y := X
% 3.55/3.91 end
% 3.55/3.91 substitution1:
% 3.55/3.91 X := X
% 3.55/3.91 Y := Z
% 3.55/3.91 Z := Y
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 subsumption: (144) {G3,W9,D2,L3,V3,M3} R(140,48) { unequally_directed_lines
% 3.55/3.91 ( Z, X ), ! unequally_directed_lines( Y, Z ), unequally_directed_lines( X
% 3.55/3.91 , Y ) }.
% 3.55/3.91 parent0: (20016) {G1,W9,D2,L3,V3,M3} { unequally_directed_lines( Y, X ),
% 3.55/3.91 unequally_directed_lines( Z, Y ), ! unequally_directed_lines( X, Z ) }.
% 3.55/3.91 substitution0:
% 3.55/3.91 X := Y
% 3.55/3.91 Y := X
% 3.55/3.91 Z := Z
% 3.55/3.91 end
% 3.55/3.91 permutation0:
% 3.55/3.91 0 ==> 2
% 3.55/3.91 1 ==> 0
% 3.55/3.91 2 ==> 1
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 resolution: (20019) {G1,W11,D4,L2,V2,M2} { ! unequally_directed_lines(
% 3.55/3.91 line_connecting( X, Y ), reverse_line( line_connecting( Y, X ) ) ), !
% 3.55/3.91 distinct_points( X, Y ) }.
% 3.55/3.91 parent0[1]: (6) {G0,W6,D2,L2,V2,M1} I { ! unequally_directed_lines( X, Y )
% 3.55/3.91 , ! equally_directed_lines( X, Y ) }.
% 3.55/3.91 parent1[1]: (68) {G0,W11,D4,L2,V2,M1} I { ! distinct_points( X, Y ),
% 3.55/3.91 equally_directed_lines( line_connecting( X, Y ), reverse_line(
% 3.55/3.91 line_connecting( Y, X ) ) ) }.
% 3.55/3.91 substitution0:
% 3.55/3.91 X := line_connecting( X, Y )
% 3.55/3.91 Y := reverse_line( line_connecting( Y, X ) )
% 3.55/3.91 end
% 3.55/3.91 substitution1:
% 3.55/3.91 X := X
% 3.55/3.91 Y := Y
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 subsumption: (398) {G1,W11,D4,L2,V2,M1} R(68,6) { !
% 3.55/3.91 unequally_directed_lines( line_connecting( X, Y ), reverse_line(
% 3.55/3.91 line_connecting( Y, X ) ) ), ! distinct_points( X, Y ) }.
% 3.55/3.91 parent0: (20019) {G1,W11,D4,L2,V2,M2} { ! unequally_directed_lines(
% 3.55/3.91 line_connecting( X, Y ), reverse_line( line_connecting( Y, X ) ) ), !
% 3.55/3.91 distinct_points( X, Y ) }.
% 3.55/3.91 substitution0:
% 3.55/3.91 X := X
% 3.55/3.91 Y := Y
% 3.55/3.91 end
% 3.55/3.91 permutation0:
% 3.55/3.91 0 ==> 0
% 3.55/3.91 1 ==> 1
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 resolution: (20020) {G2,W5,D3,L1,V0,M1} { equally_directed_lines( skol1,
% 3.55/3.91 line_connecting( skol3, skol2 ) ) }.
% 3.55/3.91 parent0[1]: (126) {G1,W9,D3,L2,V3,M1} R(32,29) { equally_directed_lines( X
% 3.55/3.91 , line_connecting( Y, Z ) ), ! alpha2( X, Y, Z ) }.
% 3.55/3.91 parent1[0]: (111) {G1,W4,D2,L1,V0,M1} R(26,72) { alpha2( skol1, skol3,
% 3.55/3.91 skol2 ) }.
% 3.55/3.91 substitution0:
% 3.55/3.91 X := skol1
% 3.55/3.91 Y := skol3
% 3.55/3.91 Z := skol2
% 3.55/3.91 end
% 3.55/3.91 substitution1:
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 subsumption: (922) {G2,W5,D3,L1,V0,M1} R(126,111) { equally_directed_lines
% 3.55/3.91 ( skol1, line_connecting( skol3, skol2 ) ) }.
% 3.55/3.91 parent0: (20020) {G2,W5,D3,L1,V0,M1} { equally_directed_lines( skol1,
% 3.55/3.91 line_connecting( skol3, skol2 ) ) }.
% 3.55/3.91 substitution0:
% 3.55/3.91 end
% 3.55/3.91 permutation0:
% 3.55/3.91 0 ==> 0
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 resolution: (20021) {G2,W5,D3,L1,V0,M1} { equally_directed_lines( skol1,
% 3.55/3.91 line_connecting( skol2, skol3 ) ) }.
% 3.55/3.91 parent0[1]: (126) {G1,W9,D3,L2,V3,M1} R(32,29) { equally_directed_lines( X
% 3.55/3.91 , line_connecting( Y, Z ) ), ! alpha2( X, Y, Z ) }.
% 3.55/3.91 parent1[0]: (110) {G1,W4,D2,L1,V0,M1} R(26,71) { alpha2( skol1, skol2,
% 3.55/3.91 skol3 ) }.
% 3.55/3.91 substitution0:
% 3.55/3.91 X := skol1
% 3.55/3.91 Y := skol2
% 3.55/3.91 Z := skol3
% 3.55/3.91 end
% 3.55/3.91 substitution1:
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 subsumption: (923) {G2,W5,D3,L1,V0,M1} R(126,110) { equally_directed_lines
% 3.55/3.91 ( skol1, line_connecting( skol2, skol3 ) ) }.
% 3.55/3.91 parent0: (20021) {G2,W5,D3,L1,V0,M1} { equally_directed_lines( skol1,
% 3.55/3.91 line_connecting( skol2, skol3 ) ) }.
% 3.55/3.91 substitution0:
% 3.55/3.91 end
% 3.55/3.91 permutation0:
% 3.55/3.91 0 ==> 0
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 resolution: (20022) {G1,W5,D3,L1,V0,M1} { ! unequally_directed_lines(
% 3.55/3.91 skol1, line_connecting( skol3, skol2 ) ) }.
% 3.55/3.91 parent0[1]: (6) {G0,W6,D2,L2,V2,M1} I { ! unequally_directed_lines( X, Y )
% 3.55/3.91 , ! equally_directed_lines( X, Y ) }.
% 3.55/3.91 parent1[0]: (922) {G2,W5,D3,L1,V0,M1} R(126,111) { equally_directed_lines(
% 3.55/3.91 skol1, line_connecting( skol3, skol2 ) ) }.
% 3.55/3.91 substitution0:
% 3.55/3.91 X := skol1
% 3.55/3.91 Y := line_connecting( skol3, skol2 )
% 3.55/3.91 end
% 3.55/3.91 substitution1:
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 subsumption: (924) {G3,W5,D3,L1,V0,M1} R(922,6) { !
% 3.55/3.91 unequally_directed_lines( skol1, line_connecting( skol3, skol2 ) ) }.
% 3.55/3.91 parent0: (20022) {G1,W5,D3,L1,V0,M1} { ! unequally_directed_lines( skol1,
% 3.55/3.91 line_connecting( skol3, skol2 ) ) }.
% 3.55/3.91 substitution0:
% 3.55/3.91 end
% 3.55/3.91 permutation0:
% 3.55/3.91 0 ==> 0
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 resolution: (20023) {G1,W5,D3,L1,V0,M1} { ! unequally_directed_lines(
% 3.55/3.91 skol1, line_connecting( skol2, skol3 ) ) }.
% 3.55/3.91 parent0[1]: (6) {G0,W6,D2,L2,V2,M1} I { ! unequally_directed_lines( X, Y )
% 3.55/3.91 , ! equally_directed_lines( X, Y ) }.
% 3.55/3.91 parent1[0]: (923) {G2,W5,D3,L1,V0,M1} R(126,110) { equally_directed_lines(
% 3.55/3.91 skol1, line_connecting( skol2, skol3 ) ) }.
% 3.55/3.91 substitution0:
% 3.55/3.91 X := skol1
% 3.55/3.91 Y := line_connecting( skol2, skol3 )
% 3.55/3.91 end
% 3.55/3.91 substitution1:
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 subsumption: (946) {G3,W5,D3,L1,V0,M1} R(923,6) { !
% 3.55/3.91 unequally_directed_lines( skol1, line_connecting( skol2, skol3 ) ) }.
% 3.55/3.91 parent0: (20023) {G1,W5,D3,L1,V0,M1} { ! unequally_directed_lines( skol1,
% 3.55/3.91 line_connecting( skol2, skol3 ) ) }.
% 3.55/3.91 substitution0:
% 3.55/3.91 end
% 3.55/3.91 permutation0:
% 3.55/3.91 0 ==> 0
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 resolution: (20024) {G3,W5,D3,L1,V0,M1} { ! unequally_directed_lines(
% 3.55/3.91 line_connecting( skol2, skol3 ), skol1 ) }.
% 3.55/3.91 parent0[0]: (946) {G3,W5,D3,L1,V0,M1} R(923,6) { ! unequally_directed_lines
% 3.55/3.91 ( skol1, line_connecting( skol2, skol3 ) ) }.
% 3.55/3.91 parent1[1]: (140) {G2,W6,D2,L2,V2,M2} R(48,84) { ! unequally_directed_lines
% 3.55/3.91 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 3.55/3.91 substitution0:
% 3.55/3.91 end
% 3.55/3.91 substitution1:
% 3.55/3.91 X := skol1
% 3.55/3.91 Y := line_connecting( skol2, skol3 )
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 subsumption: (957) {G4,W5,D3,L1,V0,M1} R(946,140) { !
% 3.55/3.91 unequally_directed_lines( line_connecting( skol2, skol3 ), skol1 ) }.
% 3.55/3.91 parent0: (20024) {G3,W5,D3,L1,V0,M1} { ! unequally_directed_lines(
% 3.55/3.91 line_connecting( skol2, skol3 ), skol1 ) }.
% 3.55/3.91 substitution0:
% 3.55/3.91 end
% 3.55/3.91 permutation0:
% 3.55/3.91 0 ==> 0
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 resolution: (20025) {G4,W8,D3,L2,V1,M2} { ! unequally_directed_lines( X,
% 3.55/3.91 line_connecting( skol2, skol3 ) ), unequally_directed_lines( skol1, X )
% 3.55/3.91 }.
% 3.55/3.91 parent0[0]: (957) {G4,W5,D3,L1,V0,M1} R(946,140) { !
% 3.55/3.91 unequally_directed_lines( line_connecting( skol2, skol3 ), skol1 ) }.
% 3.55/3.91 parent1[0]: (144) {G3,W9,D2,L3,V3,M3} R(140,48) { unequally_directed_lines
% 3.55/3.91 ( Z, X ), ! unequally_directed_lines( Y, Z ), unequally_directed_lines( X
% 3.55/3.91 , Y ) }.
% 3.55/3.91 substitution0:
% 3.55/3.91 end
% 3.55/3.91 substitution1:
% 3.55/3.91 X := skol1
% 3.55/3.91 Y := X
% 3.55/3.91 Z := line_connecting( skol2, skol3 )
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 subsumption: (2547) {G5,W8,D3,L2,V1,M2} R(144,957) {
% 3.55/3.91 unequally_directed_lines( skol1, X ), ! unequally_directed_lines( X,
% 3.55/3.91 line_connecting( skol2, skol3 ) ) }.
% 3.55/3.91 parent0: (20025) {G4,W8,D3,L2,V1,M2} { ! unequally_directed_lines( X,
% 3.55/3.91 line_connecting( skol2, skol3 ) ), unequally_directed_lines( skol1, X )
% 3.55/3.91 }.
% 3.55/3.91 substitution0:
% 3.55/3.91 X := X
% 3.55/3.91 end
% 3.55/3.91 permutation0:
% 3.55/3.91 0 ==> 1
% 3.55/3.91 1 ==> 0
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 resolution: (20027) {G4,W7,D3,L1,V0,M1} { ! unequally_directed_lines(
% 3.55/3.91 line_connecting( skol3, skol2 ), line_connecting( skol2, skol3 ) ) }.
% 3.55/3.91 parent0[0]: (924) {G3,W5,D3,L1,V0,M1} R(922,6) { ! unequally_directed_lines
% 3.55/3.91 ( skol1, line_connecting( skol3, skol2 ) ) }.
% 3.55/3.91 parent1[0]: (2547) {G5,W8,D3,L2,V1,M2} R(144,957) {
% 3.55/3.91 unequally_directed_lines( skol1, X ), ! unequally_directed_lines( X,
% 3.55/3.91 line_connecting( skol2, skol3 ) ) }.
% 3.55/3.91 substitution0:
% 3.55/3.91 end
% 3.55/3.91 substitution1:
% 3.55/3.91 X := line_connecting( skol3, skol2 )
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 subsumption: (5231) {G6,W7,D3,L1,V0,M1} R(2547,924) { !
% 3.55/3.91 unequally_directed_lines( line_connecting( skol3, skol2 ),
% 3.55/3.91 line_connecting( skol2, skol3 ) ) }.
% 3.55/3.91 parent0: (20027) {G4,W7,D3,L1,V0,M1} { ! unequally_directed_lines(
% 3.55/3.91 line_connecting( skol3, skol2 ), line_connecting( skol2, skol3 ) ) }.
% 3.55/3.91 substitution0:
% 3.55/3.91 end
% 3.55/3.91 permutation0:
% 3.55/3.91 0 ==> 0
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 resolution: (20028) {G1,W8,D4,L1,V0,M1} { unequally_directed_lines(
% 3.55/3.91 line_connecting( skol3, skol2 ), reverse_line( line_connecting( skol2,
% 3.55/3.91 skol3 ) ) ) }.
% 3.55/3.91 parent0[0]: (5231) {G6,W7,D3,L1,V0,M1} R(2547,924) { !
% 3.55/3.91 unequally_directed_lines( line_connecting( skol3, skol2 ),
% 3.55/3.91 line_connecting( skol2, skol3 ) ) }.
% 3.55/3.91 parent1[1]: (54) {G0,W7,D3,L2,V2,M2} I { unequally_directed_lines( X,
% 3.55/3.91 reverse_line( Y ) ), unequally_directed_lines( X, Y ) }.
% 3.55/3.91 substitution0:
% 3.55/3.91 end
% 3.55/3.91 substitution1:
% 3.55/3.91 X := line_connecting( skol3, skol2 )
% 3.55/3.91 Y := line_connecting( skol2, skol3 )
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 subsumption: (5317) {G7,W8,D4,L1,V0,M1} R(5231,54) {
% 3.55/3.91 unequally_directed_lines( line_connecting( skol3, skol2 ), reverse_line(
% 3.55/3.91 line_connecting( skol2, skol3 ) ) ) }.
% 3.55/3.91 parent0: (20028) {G1,W8,D4,L1,V0,M1} { unequally_directed_lines(
% 3.55/3.91 line_connecting( skol3, skol2 ), reverse_line( line_connecting( skol2,
% 3.55/3.91 skol3 ) ) ) }.
% 3.55/3.91 substitution0:
% 3.55/3.91 end
% 3.55/3.91 permutation0:
% 3.55/3.91 0 ==> 0
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 resolution: (20029) {G2,W8,D4,L1,V0,M1} { ! unequally_directed_lines(
% 3.55/3.91 line_connecting( skol3, skol2 ), reverse_line( line_connecting( skol2,
% 3.55/3.91 skol3 ) ) ) }.
% 3.55/3.91 parent0[1]: (398) {G1,W11,D4,L2,V2,M1} R(68,6) { ! unequally_directed_lines
% 3.55/3.91 ( line_connecting( X, Y ), reverse_line( line_connecting( Y, X ) ) ), !
% 3.55/3.91 distinct_points( X, Y ) }.
% 3.55/3.91 parent1[0]: (91) {G1,W3,D2,L1,V0,M1} R(25,72) { distinct_points( skol3,
% 3.55/3.91 skol2 ) }.
% 3.55/3.91 substitution0:
% 3.55/3.91 X := skol3
% 3.55/3.91 Y := skol2
% 3.55/3.91 end
% 3.55/3.91 substitution1:
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 resolution: (20030) {G3,W0,D0,L0,V0,M0} { }.
% 3.55/3.91 parent0[0]: (20029) {G2,W8,D4,L1,V0,M1} { ! unequally_directed_lines(
% 3.55/3.91 line_connecting( skol3, skol2 ), reverse_line( line_connecting( skol2,
% 3.55/3.91 skol3 ) ) ) }.
% 3.55/3.91 parent1[0]: (5317) {G7,W8,D4,L1,V0,M1} R(5231,54) {
% 3.55/3.91 unequally_directed_lines( line_connecting( skol3, skol2 ), reverse_line(
% 3.55/3.91 line_connecting( skol2, skol3 ) ) ) }.
% 3.55/3.91 substitution0:
% 3.55/3.91 end
% 3.55/3.91 substitution1:
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 subsumption: (19841) {G8,W0,D0,L0,V0,M0} R(398,91);r(5317) { }.
% 3.55/3.91 parent0: (20030) {G3,W0,D0,L0,V0,M0} { }.
% 3.55/3.91 substitution0:
% 3.55/3.91 end
% 3.55/3.91 permutation0:
% 3.55/3.91 end
% 3.55/3.91
% 3.55/3.91 Proof check complete!
% 3.55/3.91
% 3.55/3.91 Memory use:
% 3.55/3.91
% 3.55/3.91 space for terms: 256183
% 3.55/3.91 space for clauses: 798261
% 3.55/3.91
% 3.55/3.91
% 3.55/3.91 clauses generated: 82939
% 3.55/3.91 clauses kept: 19842
% 3.55/3.91 clauses selected: 812
% 3.55/3.91 clauses deleted: 36
% 3.55/3.91 clauses inuse deleted: 7
% 3.55/3.91
% 3.55/3.91 subsentry: 4079185
% 3.55/3.91 literals s-matched: 1416356
% 3.55/3.91 literals matched: 1416256
% 3.55/3.91 full subsumption: 645738
% 3.55/3.91
% 3.55/3.91 checksum: -1538653527
% 3.55/3.91
% 3.55/3.91
% 3.55/3.91 Bliksem ended
%------------------------------------------------------------------------------