%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO258+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 02:53:21 EDT 2022
% Result : Theorem 1.27s 1.69s
% Output : Refutation 1.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : GEO258+3 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.15 % Command : bliksem %s
% 0.15/0.37 % Computer : n029.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % DateTime : Sat Jun 18 13:26:59 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.52/1.17 *** allocated 10000 integers for termspace/termends
% 0.52/1.17 *** allocated 10000 integers for clauses
% 0.52/1.17 *** allocated 10000 integers for justifications
% 0.52/1.17 Bliksem 1.12
% 0.52/1.17
% 0.52/1.17
% 0.52/1.17 Automatic Strategy Selection
% 0.52/1.17
% 0.52/1.17
% 0.52/1.17 Clauses:
% 0.52/1.17
% 0.52/1.17 { ! unequally_directed_opposite_lines( X, Y ), unequally_directed_lines( X
% 0.52/1.17 , reverse_line( Y ) ) }.
% 0.52/1.17 { ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.52/1.17 unequally_directed_opposite_lines( X, Y ) }.
% 0.52/1.17 { ! right_apart_point( X, Y ), left_apart_point( X, reverse_line( Y ) ) }.
% 0.52/1.17 { ! left_apart_point( X, reverse_line( Y ) ), right_apart_point( X, Y ) }.
% 0.52/1.17 { ! right_convergent_lines( X, Y ), left_convergent_lines( X, reverse_line
% 0.52/1.17 ( Y ) ) }.
% 0.52/1.17 { ! left_convergent_lines( X, reverse_line( Y ) ), right_convergent_lines(
% 0.52/1.17 X, Y ) }.
% 0.52/1.17 { ! equally_directed_lines( X, Y ), ! unequally_directed_lines( X, Y ) }.
% 0.52/1.17 { unequally_directed_lines( X, Y ), equally_directed_lines( X, Y ) }.
% 0.52/1.17 { ! equally_directed_opposite_lines( X, Y ), !
% 0.52/1.17 unequally_directed_opposite_lines( X, Y ) }.
% 0.52/1.17 { unequally_directed_opposite_lines( X, Y ),
% 0.52/1.17 equally_directed_opposite_lines( X, Y ) }.
% 0.52/1.17 { ! apart_point_and_line( X, Y ), left_apart_point( X, Y ),
% 0.52/1.17 right_apart_point( X, Y ) }.
% 0.52/1.17 { ! left_apart_point( X, Y ), apart_point_and_line( X, Y ) }.
% 0.52/1.17 { ! right_apart_point( X, Y ), apart_point_and_line( X, Y ) }.
% 0.52/1.17 { ! convergent_lines( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.52/1.17 { ! convergent_lines( X, Y ), unequally_directed_opposite_lines( X, Y ) }.
% 0.52/1.17 { ! unequally_directed_lines( X, Y ), ! unequally_directed_opposite_lines(
% 0.52/1.17 X, Y ), convergent_lines( X, Y ) }.
% 0.52/1.17 { ! divides_points( Z, X, Y ), alpha1( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.52/1.17 { ! alpha1( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.52/1.17 { ! alpha4( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.52/1.17 { ! alpha4( X, Y, Z ), right_apart_point( X, Z ) }.
% 0.52/1.17 { ! alpha4( X, Y, Z ), left_apart_point( Y, Z ) }.
% 0.52/1.17 { ! right_apart_point( X, Z ), ! left_apart_point( Y, Z ), alpha4( X, Y, Z
% 0.52/1.17 ) }.
% 0.52/1.17 { ! alpha1( X, Y, Z ), left_apart_point( X, Z ) }.
% 0.52/1.17 { ! alpha1( X, Y, Z ), right_apart_point( Y, Z ) }.
% 0.52/1.17 { ! left_apart_point( X, Z ), ! right_apart_point( Y, Z ), alpha1( X, Y, Z
% 0.52/1.17 ) }.
% 0.52/1.17 { ! before_on_line( X, Y, Z ), distinct_points( Y, Z ) }.
% 0.52/1.17 { ! before_on_line( X, Y, Z ), alpha2( X, Y, Z ) }.
% 0.52/1.17 { ! distinct_points( Y, Z ), ! alpha2( X, Y, Z ), before_on_line( X, Y, Z )
% 0.52/1.17 }.
% 0.52/1.17 { ! alpha2( X, Y, Z ), incident_point_and_line( Y, X ) }.
% 0.52/1.17 { ! alpha2( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.52/1.17 { ! incident_point_and_line( Y, X ), ! alpha5( X, Y, Z ), alpha2( X, Y, Z )
% 0.52/1.17 }.
% 0.52/1.17 { ! alpha5( X, Y, Z ), incident_point_and_line( Z, X ) }.
% 0.52/1.17 { ! alpha5( X, Y, Z ), equally_directed_lines( X, line_connecting( Y, Z ) )
% 0.52/1.17 }.
% 0.52/1.17 { ! incident_point_and_line( Z, X ), ! equally_directed_lines( X,
% 0.52/1.17 line_connecting( Y, Z ) ), alpha5( X, Y, Z ) }.
% 0.52/1.17 { ! between_on_line( X, Y, Z, T ), alpha3( X, Y, Z, T ), alpha6( X, Y, Z, T
% 0.52/1.17 ) }.
% 0.52/1.17 { ! alpha3( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.52/1.17 { ! alpha6( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.52/1.17 { ! alpha6( X, Y, Z, T ), before_on_line( X, T, Z ) }.
% 0.52/1.17 { ! alpha6( X, Y, Z, T ), before_on_line( X, Z, Y ) }.
% 0.52/1.17 { ! before_on_line( X, T, Z ), ! before_on_line( X, Z, Y ), alpha6( X, Y, Z
% 0.52/1.17 , T ) }.
% 0.52/1.17 { ! alpha3( X, Y, Z, T ), before_on_line( X, Y, Z ) }.
% 0.52/1.17 { ! alpha3( X, Y, Z, T ), before_on_line( X, Z, T ) }.
% 0.52/1.17 { ! before_on_line( X, Y, Z ), ! before_on_line( X, Z, T ), alpha3( X, Y, Z
% 0.52/1.17 , T ) }.
% 0.52/1.17 { ! distinct_points( X, X ) }.
% 0.52/1.17 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.52/1.17 ) }.
% 0.52/1.17 { ! distinct_lines( X, X ) }.
% 0.52/1.17 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.52/1.17 }.
% 0.52/1.17 { equally_directed_lines( X, X ) }.
% 0.52/1.17 { ! unequally_directed_lines( X, Y ), unequally_directed_lines( X, Z ),
% 0.52/1.17 unequally_directed_lines( Y, Z ) }.
% 0.52/1.17 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.52/1.17 reverse_line( Y ) ), alpha7( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.52/1.17 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.52/1.17 reverse_line( Y ) ), alpha7( X, Z ), unequally_directed_lines( Y,
% 0.52/1.17 reverse_line( Z ) ) }.
% 0.52/1.17 { ! alpha7( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.52/1.17 { ! alpha7( X, Y ), unequally_directed_lines( X, reverse_line( Y ) ) }.
% 1.27/1.68 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 1.27/1.68 reverse_line( Y ) ), alpha7( X, Y ) }.
% 1.27/1.68 { unequally_directed_lines( X, Y ), unequally_directed_lines( X,
% 1.27/1.68 reverse_line( Y ) ) }.
% 1.27/1.68 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 1.27/1.68 reverse_line( Y ) ), left_convergent_lines( X, Y ), left_convergent_lines
% 1.27/1.68 ( X, reverse_line( Y ) ) }.
% 1.27/1.68 { ! left_apart_point( X, Y ) }.
% 1.27/1.68 { ! left_apart_point( X, reverse_line( Y ) ) }.
% 1.27/1.68 { ! left_convergent_lines( X, Y ) }.
% 1.27/1.68 { ! left_convergent_lines( X, reverse_line( Y ) ) }.
% 1.27/1.68 { ! point( X ), ! point( Y ), ! distinct_points( X, Y ), line(
% 1.27/1.68 line_connecting( X, Y ) ) }.
% 1.27/1.68 { ! line( X ), ! line( Y ), ! unequally_directed_lines( X, Y ), !
% 1.27/1.68 unequally_directed_lines( X, reverse_line( Y ) ), point(
% 1.27/1.68 intersection_point( X, Y ) ) }.
% 1.27/1.68 { ! point( Y ), ! line( X ), line( parallel_through_point( X, Y ) ) }.
% 1.27/1.68 { ! line( X ), line( reverse_line( X ) ) }.
% 1.27/1.68 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 1.27/1.68 , Y ) ) }.
% 1.27/1.68 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 1.27/1.68 , Y ) ) }.
% 1.27/1.68 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 1.27/1.68 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 1.27/1.68 X ) }.
% 1.27/1.68 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 1.27/1.68 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 1.27/1.68 Y ) }.
% 1.27/1.68 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 1.27/1.68 { ! distinct_lines( X, reverse_line( X ) ) }.
% 1.27/1.68 { ! distinct_points( X, Y ), equally_directed_lines( line_connecting( X, Y
% 1.27/1.68 ), reverse_line( line_connecting( Y, X ) ) ) }.
% 1.27/1.68 { equally_directed_lines( parallel_through_point( Y, X ), Y ) }.
% 1.27/1.68 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), left_apart_point( X
% 1.27/1.68 , Z ), left_apart_point( Y, Z ), left_apart_point( X, T ),
% 1.27/1.68 left_apart_point( Y, T ), left_apart_point( X, reverse_line( Z ) ),
% 1.27/1.68 left_apart_point( Y, reverse_line( Z ) ), left_apart_point( X,
% 1.27/1.68 reverse_line( T ) ), left_apart_point( Y, reverse_line( T ) ) }.
% 1.27/1.68 { ! distinct_points( X, Y ), ! left_apart_point( X, Z ), left_apart_point(
% 1.27/1.68 Y, Z ), left_convergent_lines( line_connecting( X, Y ), Z ) }.
% 1.27/1.68 { ! left_apart_point( X, Y ), distinct_points( X, Z ), left_apart_point( Z
% 1.27/1.68 , Y ) }.
% 1.27/1.68 { ! left_apart_point( X, Y ), ! unequally_directed_lines( Y, Z ),
% 1.27/1.68 distinct_lines( Y, Z ), left_apart_point( X, reverse_line( Z ) ) }.
% 1.27/1.68 { ! left_convergent_lines( X, Y ), unequally_directed_lines( Y, Z ),
% 1.27/1.68 left_convergent_lines( X, Z ) }.
% 1.27/1.68 { between_on_line( skol1, skol2, skol3, skol4 ) }.
% 1.27/1.68 { ! between_on_line( skol1, skol4, skol3, skol2 ) }.
% 1.27/1.68
% 1.27/1.68 percentage equality = 0.000000, percentage horn = 0.821918
% 1.27/1.68 This a non-horn, non-equality problem
% 1.27/1.68
% 1.27/1.68
% 1.27/1.68 Options Used:
% 1.27/1.68
% 1.27/1.68 useres = 1
% 1.27/1.68 useparamod = 0
% 1.27/1.68 useeqrefl = 0
% 1.27/1.68 useeqfact = 0
% 1.27/1.68 usefactor = 1
% 1.27/1.68 usesimpsplitting = 0
% 1.27/1.68 usesimpdemod = 0
% 1.27/1.68 usesimpres = 3
% 1.27/1.68
% 1.27/1.68 resimpinuse = 1000
% 1.27/1.68 resimpclauses = 20000
% 1.27/1.68 substype = standard
% 1.27/1.68 backwardsubs = 1
% 1.27/1.68 selectoldest = 5
% 1.27/1.68
% 1.27/1.68 litorderings [0] = split
% 1.27/1.68 litorderings [1] = liftord
% 1.27/1.68
% 1.27/1.68 termordering = none
% 1.27/1.68
% 1.27/1.68 litapriori = 1
% 1.27/1.68 termapriori = 0
% 1.27/1.68 litaposteriori = 0
% 1.27/1.68 termaposteriori = 0
% 1.27/1.68 demodaposteriori = 0
% 1.27/1.68 ordereqreflfact = 0
% 1.27/1.68
% 1.27/1.68 litselect = none
% 1.27/1.68
% 1.27/1.68 maxweight = 15
% 1.27/1.68 maxdepth = 30000
% 1.27/1.68 maxlength = 115
% 1.27/1.68 maxnrvars = 195
% 1.27/1.68 excuselevel = 1
% 1.27/1.68 increasemaxweight = 1
% 1.27/1.68
% 1.27/1.68 maxselected = 10000000
% 1.27/1.68 maxnrclauses = 10000000
% 1.27/1.68
% 1.27/1.68 showgenerated = 0
% 1.27/1.68 showkept = 0
% 1.27/1.68 showselected = 0
% 1.27/1.68 showdeleted = 0
% 1.27/1.68 showresimp = 1
% 1.27/1.68 showstatus = 2000
% 1.27/1.68
% 1.27/1.68 prologoutput = 0
% 1.27/1.68 nrgoals = 5000000
% 1.27/1.68 totalproof = 1
% 1.27/1.68
% 1.27/1.68 Symbols occurring in the translation:
% 1.27/1.68
% 1.27/1.68 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.27/1.68 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 1.27/1.68 ! [4, 1] (w:0, o:18, a:1, s:1, b:0),
% 1.27/1.68 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.27/1.68 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.27/1.68 unequally_directed_opposite_lines [37, 2] (w:1, o:50, a:1, s:1, b:0)
% 1.27/1.68 ,
% 1.27/1.68 reverse_line [38, 1] (w:1, o:23, a:1, s:1, b:0),
% 1.27/1.68 unequally_directed_lines [39, 2] (w:1, o:51, a:1, s:1, b:0),
% 1.27/1.68 right_apart_point [40, 2] (w:1, o:52, a:1, s:1, b:0),
% 1.27/1.68 left_apart_point [41, 2] (w:1, o:53, a:1, s:1, b:0),
% 1.27/1.68 right_convergent_lines [42, 2] (w:1, o:54, a:1, s:1, b:0),
% 1.27/1.68 left_convergent_lines [43, 2] (w:1, o:55, a:1, s:1, b:0),
% 1.27/1.68 equally_directed_lines [44, 2] (w:1, o:58, a:1, s:1, b:0),
% 1.27/1.68 equally_directed_opposite_lines [45, 2] (w:1, o:59, a:1, s:1, b:0),
% 1.27/1.68 apart_point_and_line [48, 2] (w:1, o:60, a:1, s:1, b:0),
% 1.27/1.68 convergent_lines [50, 2] (w:1, o:61, a:1, s:1, b:0),
% 1.27/1.68 divides_points [52, 3] (w:1, o:67, a:1, s:1, b:0),
% 1.27/1.68 before_on_line [53, 3] (w:1, o:72, a:1, s:1, b:0),
% 1.27/1.68 distinct_points [54, 2] (w:1, o:56, a:1, s:1, b:0),
% 1.27/1.68 incident_point_and_line [55, 2] (w:1, o:62, a:1, s:1, b:0),
% 1.27/1.68 line_connecting [56, 2] (w:1, o:63, a:1, s:1, b:0),
% 1.27/1.68 between_on_line [58, 4] (w:1, o:75, a:1, s:1, b:0),
% 1.27/1.68 distinct_lines [59, 2] (w:1, o:57, a:1, s:1, b:0),
% 1.27/1.68 point [61, 1] (w:1, o:24, a:1, s:1, b:0),
% 1.27/1.69 line [62, 1] (w:1, o:25, a:1, s:1, b:0),
% 1.27/1.69 intersection_point [63, 2] (w:1, o:64, a:1, s:1, b:0),
% 1.27/1.69 parallel_through_point [64, 2] (w:1, o:65, a:1, s:1, b:0),
% 1.27/1.69 alpha1 [65, 3] (w:1, o:68, a:1, s:1, b:0),
% 1.27/1.69 alpha2 [66, 3] (w:1, o:69, a:1, s:1, b:0),
% 1.27/1.69 alpha3 [67, 4] (w:1, o:73, a:1, s:1, b:0),
% 1.27/1.69 alpha4 [68, 3] (w:1, o:70, a:1, s:1, b:0),
% 1.27/1.69 alpha5 [69, 3] (w:1, o:71, a:1, s:1, b:0),
% 1.27/1.69 alpha6 [70, 4] (w:1, o:74, a:1, s:1, b:0),
% 1.27/1.69 alpha7 [71, 2] (w:1, o:66, a:1, s:1, b:0),
% 1.27/1.69 skol1 [72, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.27/1.69 skol2 [73, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.27/1.69 skol3 [74, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.27/1.69 skol4 [75, 0] (w:1, o:17, a:1, s:1, b:0).
% 1.27/1.69
% 1.27/1.69
% 1.27/1.69 Starting Search:
% 1.27/1.69
% 1.27/1.69 *** allocated 15000 integers for clauses
% 1.27/1.69 *** allocated 22500 integers for clauses
% 1.27/1.69 *** allocated 33750 integers for clauses
% 1.27/1.69 *** allocated 50625 integers for clauses
% 1.27/1.69 *** allocated 15000 integers for termspace/termends
% 1.27/1.69 *** allocated 75937 integers for clauses
% 1.27/1.69 Resimplifying inuse:
% 1.27/1.69 Done
% 1.27/1.69
% 1.27/1.69 *** allocated 22500 integers for termspace/termends
% 1.27/1.69 *** allocated 113905 integers for clauses
% 1.27/1.69 *** allocated 33750 integers for termspace/termends
% 1.27/1.69
% 1.27/1.69 Intermediate Status:
% 1.27/1.69 Generated: 7734
% 1.27/1.69 Kept: 2017
% 1.27/1.69 Inuse: 265
% 1.27/1.69 Deleted: 33
% 1.27/1.69 Deletedinuse: 7
% 1.27/1.69
% 1.27/1.69 Resimplifying inuse:
% 1.27/1.69 Done
% 1.27/1.69
% 1.27/1.69 *** allocated 170857 integers for clauses
% 1.27/1.69 *** allocated 50625 integers for termspace/termends
% 1.27/1.69 Resimplifying inuse:
% 1.27/1.69 Done
% 1.27/1.69
% 1.27/1.69
% 1.27/1.69 Intermediate Status:
% 1.27/1.69 Generated: 17348
% 1.27/1.69 Kept: 4034
% 1.27/1.69 Inuse: 360
% 1.27/1.69 Deleted: 33
% 1.27/1.69 Deletedinuse: 7
% 1.27/1.69
% 1.27/1.69 Resimplifying inuse:
% 1.27/1.69 Done
% 1.27/1.69
% 1.27/1.69 *** allocated 256285 integers for clauses
% 1.27/1.69 *** allocated 75937 integers for termspace/termends
% 1.27/1.69 Resimplifying inuse:
% 1.27/1.69 Done
% 1.27/1.69
% 1.27/1.69 *** allocated 384427 integers for clauses
% 1.27/1.69
% 1.27/1.69 Intermediate Status:
% 1.27/1.69 Generated: 24715
% 1.27/1.69 Kept: 6084
% 1.27/1.69 Inuse: 481
% 1.27/1.69 Deleted: 52
% 1.27/1.69 Deletedinuse: 25
% 1.27/1.69
% 1.27/1.69 Resimplifying inuse:
% 1.27/1.69 Done
% 1.27/1.69
% 1.27/1.69 *** allocated 113905 integers for termspace/termends
% 1.27/1.69 Resimplifying inuse:
% 1.27/1.69 Done
% 1.27/1.69
% 1.27/1.69
% 1.27/1.69 Intermediate Status:
% 1.27/1.69 Generated: 32712
% 1.27/1.69 Kept: 8091
% 1.27/1.69 Inuse: 573
% 1.27/1.69 Deleted: 61
% 1.27/1.69 Deletedinuse: 28
% 1.27/1.69
% 1.27/1.69
% 1.27/1.69 Bliksems!, er is een bewijs:
% 1.27/1.69 % SZS status Theorem
% 1.27/1.69 % SZS output start Refutation
% 1.27/1.69
% 1.27/1.69 (34) {G0,W15,D2,L3,V4,M1} I { alpha3( X, Y, Z, T ), alpha6( X, Y, Z, T ), !
% 1.27/1.69 between_on_line( X, Y, Z, T ) }.
% 1.27/1.69 (35) {G0,W10,D2,L2,V4,M1} I { ! alpha3( X, Y, Z, T ), between_on_line( X, Y
% 1.27/1.69 , Z, T ) }.
% 1.27/1.69 (36) {G0,W10,D2,L2,V4,M1} I { ! alpha6( X, Y, Z, T ), between_on_line( X, Y
% 1.27/1.69 , Z, T ) }.
% 1.27/1.69 (37) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, T, Z ), ! alpha6( X, Y, Z,
% 1.27/1.69 T ) }.
% 1.27/1.69 (38) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, Z, Y ), ! alpha6( X, Y, Z,
% 1.27/1.69 T ) }.
% 1.27/1.69 (39) {G0,W13,D2,L3,V4,M1} I { ! before_on_line( X, T, Z ), ! before_on_line
% 1.27/1.69 ( X, Z, Y ), alpha6( X, Y, Z, T ) }.
% 1.27/1.69 (40) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, Y, Z ), ! alpha3( X, Y, Z,
% 1.27/1.69 T ) }.
% 1.27/1.69 (41) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, Z, T ), ! alpha3( X, Y, Z,
% 1.27/1.69 T ) }.
% 1.27/1.69 (42) {G0,W13,D2,L3,V4,M1} I { ! before_on_line( X, Y, Z ), ! before_on_line
% 1.27/1.69 ( X, Z, T ), alpha3( X, Y, Z, T ) }.
% 1.27/1.69 (71) {G0,W5,D2,L1,V0,M1} I { between_on_line( skol1, skol2, skol3, skol4 )
% 1.27/1.69 }.
% 1.27/1.69 (72) {G0,W5,D2,L1,V0,M1} I { ! between_on_line( skol1, skol4, skol3, skol2
% 1.27/1.69 ) }.
% 1.27/1.69 (152) {G1,W10,D2,L2,V0,M1} R(34,71) { alpha3( skol1, skol2, skol3, skol4 )
% 1.27/1.69 , alpha6( skol1, skol2, skol3, skol4 ) }.
% 1.27/1.69 (157) {G1,W5,D2,L1,V0,M1} R(35,72) { ! alpha3( skol1, skol4, skol3, skol2 )
% 1.27/1.69 }.
% 1.27/1.69 (160) {G1,W5,D2,L1,V0,M1} R(36,72) { ! alpha6( skol1, skol4, skol3, skol2 )
% 1.27/1.69 }.
% 1.27/1.69 (169) {G2,W8,D2,L2,V0,M1} R(39,160) { ! before_on_line( skol1, skol2, skol3
% 1.27/1.69 ), ! before_on_line( skol1, skol3, skol4 ) }.
% 1.27/1.69 (197) {G2,W8,D2,L2,V0,M1} R(42,157) { ! before_on_line( skol1, skol3, skol2
% 1.27/1.69 ), ! before_on_line( skol1, skol4, skol3 ) }.
% 1.27/1.69 (3097) {G2,W9,D2,L2,V0,M1} R(152,37) { before_on_line( skol1, skol4, skol3
% 1.27/1.69 ), alpha3( skol1, skol2, skol3, skol4 ) }.
% 1.27/1.69 (3098) {G2,W9,D2,L2,V0,M1} R(152,38) { before_on_line( skol1, skol3, skol2
% 1.27/1.69 ), alpha3( skol1, skol2, skol3, skol4 ) }.
% 1.27/1.69 (4692) {G3,W8,D2,L2,V0,M1} R(3097,40) { before_on_line( skol1, skol2, skol3
% 1.27/1.69 ), before_on_line( skol1, skol4, skol3 ) }.
% 1.27/1.69 (4693) {G3,W8,D2,L2,V0,M1} R(3097,41) { before_on_line( skol1, skol4, skol3
% 1.27/1.69 ), before_on_line( skol1, skol3, skol4 ) }.
% 1.27/1.69 (4939) {G4,W4,D2,L1,V0,M1} R(4693,169);r(4692) { before_on_line( skol1,
% 1.27/1.69 skol4, skol3 ) }.
% 1.27/1.69 (4959) {G5,W4,D2,L1,V0,M1} R(4939,197) { ! before_on_line( skol1, skol3,
% 1.27/1.69 skol2 ) }.
% 1.27/1.69 (8050) {G6,W5,D2,L1,V0,M1} S(3098);r(4959) { alpha3( skol1, skol2, skol3,
% 1.27/1.69 skol4 ) }.
% 1.27/1.69 (8051) {G7,W4,D2,L1,V0,M1} R(8050,40) { before_on_line( skol1, skol2, skol3
% 1.27/1.69 ) }.
% 1.27/1.69 (8052) {G7,W4,D2,L1,V0,M1} R(8050,41) { before_on_line( skol1, skol3, skol4
% 1.27/1.69 ) }.
% 1.27/1.69 (8127) {G8,W0,D0,L0,V0,M0} R(8052,169);r(8051) { }.
% 1.27/1.69
% 1.27/1.69
% 1.27/1.69 % SZS output end Refutation
% 1.27/1.69 found a proof!
% 1.27/1.69
% 1.27/1.69
% 1.27/1.69 Unprocessed initial clauses:
% 1.27/1.69
% 1.27/1.69 (8129) {G0,W7,D3,L2,V2,M2} { ! unequally_directed_opposite_lines( X, Y ),
% 1.27/1.69 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 1.27/1.69 (8130) {G0,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, reverse_line(
% 1.27/1.69 Y ) ), unequally_directed_opposite_lines( X, Y ) }.
% 1.27/1.69 (8131) {G0,W7,D3,L2,V2,M2} { ! right_apart_point( X, Y ), left_apart_point
% 1.27/1.69 ( X, reverse_line( Y ) ) }.
% 1.27/1.69 (8132) {G0,W7,D3,L2,V2,M2} { ! left_apart_point( X, reverse_line( Y ) ),
% 1.27/1.69 right_apart_point( X, Y ) }.
% 1.27/1.69 (8133) {G0,W7,D3,L2,V2,M2} { ! right_convergent_lines( X, Y ),
% 1.27/1.69 left_convergent_lines( X, reverse_line( Y ) ) }.
% 1.27/1.69 (8134) {G0,W7,D3,L2,V2,M2} { ! left_convergent_lines( X, reverse_line( Y )
% 1.27/1.69 ), right_convergent_lines( X, Y ) }.
% 1.27/1.69 (8135) {G0,W6,D2,L2,V2,M2} { ! equally_directed_lines( X, Y ), !
% 1.27/1.69 unequally_directed_lines( X, Y ) }.
% 1.27/1.69 (8136) {G0,W6,D2,L2,V2,M2} { unequally_directed_lines( X, Y ),
% 1.27/1.69 equally_directed_lines( X, Y ) }.
% 1.27/1.69 (8137) {G0,W6,D2,L2,V2,M2} { ! equally_directed_opposite_lines( X, Y ), !
% 1.27/1.69 unequally_directed_opposite_lines( X, Y ) }.
% 1.27/1.69 (8138) {G0,W6,D2,L2,V2,M2} { unequally_directed_opposite_lines( X, Y ),
% 1.27/1.69 equally_directed_opposite_lines( X, Y ) }.
% 1.27/1.69 (8139) {G0,W9,D2,L3,V2,M3} { ! apart_point_and_line( X, Y ),
% 1.27/1.69 left_apart_point( X, Y ), right_apart_point( X, Y ) }.
% 1.27/1.69 (8140) {G0,W6,D2,L2,V2,M2} { ! left_apart_point( X, Y ),
% 1.27/1.69 apart_point_and_line( X, Y ) }.
% 1.27/1.69 (8141) {G0,W6,D2,L2,V2,M2} { ! right_apart_point( X, Y ),
% 1.27/1.69 apart_point_and_line( X, Y ) }.
% 1.27/1.69 (8142) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 1.27/1.69 unequally_directed_lines( X, Y ) }.
% 1.27/1.69 (8143) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 1.27/1.69 unequally_directed_opposite_lines( X, Y ) }.
% 1.27/1.69 (8144) {G0,W9,D2,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 1.27/1.69 unequally_directed_opposite_lines( X, Y ), convergent_lines( X, Y ) }.
% 1.27/1.69 (8145) {G0,W12,D2,L3,V3,M3} { ! divides_points( Z, X, Y ), alpha1( X, Y, Z
% 1.27/1.69 ), alpha4( X, Y, Z ) }.
% 1.27/1.69 (8146) {G0,W8,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), divides_points( Z, X, Y
% 1.27/1.69 ) }.
% 1.27/1.69 (8147) {G0,W8,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), divides_points( Z, X, Y
% 1.27/1.69 ) }.
% 1.27/1.69 (8148) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), right_apart_point( X, Z
% 1.27/1.69 ) }.
% 1.27/1.69 (8149) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), left_apart_point( Y, Z )
% 1.27/1.69 }.
% 1.27/1.69 (8150) {G0,W10,D2,L3,V3,M3} { ! right_apart_point( X, Z ), !
% 1.27/1.69 left_apart_point( Y, Z ), alpha4( X, Y, Z ) }.
% 1.27/1.69 (8151) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), left_apart_point( X, Z )
% 1.27/1.69 }.
% 1.27/1.69 (8152) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), right_apart_point( Y, Z
% 1.27/1.69 ) }.
% 1.27/1.69 (8153) {G0,W10,D2,L3,V3,M3} { ! left_apart_point( X, Z ), !
% 1.27/1.69 right_apart_point( Y, Z ), alpha1( X, Y, Z ) }.
% 1.27/1.69 (8154) {G0,W7,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), distinct_points
% 1.27/1.69 ( Y, Z ) }.
% 1.27/1.69 (8155) {G0,W8,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), alpha2( X, Y, Z
% 1.27/1.69 ) }.
% 1.27/1.69 (8156) {G0,W11,D2,L3,V3,M3} { ! distinct_points( Y, Z ), ! alpha2( X, Y, Z
% 1.27/1.69 ), before_on_line( X, Y, Z ) }.
% 1.27/1.69 (8157) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), incident_point_and_line
% 1.27/1.69 ( Y, X ) }.
% 1.27/1.69 (8158) {G0,W8,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), alpha5( X, Y, Z ) }.
% 1.27/1.69 (8159) {G0,W11,D2,L3,V3,M3} { ! incident_point_and_line( Y, X ), ! alpha5
% 1.27/1.69 ( X, Y, Z ), alpha2( X, Y, Z ) }.
% 1.27/1.69 (8160) {G0,W7,D2,L2,V3,M2} { ! alpha5( X, Y, Z ), incident_point_and_line
% 1.27/1.69 ( Z, X ) }.
% 1.27/1.69 (8161) {G0,W9,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), equally_directed_lines(
% 1.27/1.69 X, line_connecting( Y, Z ) ) }.
% 1.27/1.69 (8162) {G0,W12,D3,L3,V3,M3} { ! incident_point_and_line( Z, X ), !
% 1.27/1.69 equally_directed_lines( X, line_connecting( Y, Z ) ), alpha5( X, Y, Z )
% 1.27/1.69 }.
% 1.27/1.69 (8163) {G0,W15,D2,L3,V4,M3} { ! between_on_line( X, Y, Z, T ), alpha3( X,
% 1.27/1.69 Y, Z, T ), alpha6( X, Y, Z, T ) }.
% 1.27/1.69 (8164) {G0,W10,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), between_on_line( X,
% 1.27/1.69 Y, Z, T ) }.
% 1.27/1.69 (8165) {G0,W10,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), between_on_line( X,
% 1.27/1.69 Y, Z, T ) }.
% 1.27/1.69 (8166) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, T
% 1.27/1.69 , Z ) }.
% 1.27/1.69 (8167) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, Z
% 1.27/1.69 , Y ) }.
% 1.27/1.69 (8168) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, T, Z ), !
% 1.27/1.69 before_on_line( X, Z, Y ), alpha6( X, Y, Z, T ) }.
% 1.27/1.69 (8169) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Y
% 1.27/1.69 , Z ) }.
% 1.27/1.69 (8170) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Z
% 1.27/1.69 , T ) }.
% 1.27/1.69 (8171) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, Y, Z ), !
% 1.27/1.69 before_on_line( X, Z, T ), alpha3( X, Y, Z, T ) }.
% 1.27/1.69 (8172) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 1.27/1.69 (8173) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 1.27/1.69 , Z ), distinct_points( Y, Z ) }.
% 1.27/1.69 (8174) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 1.27/1.69 (8175) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 1.27/1.69 Z ), distinct_lines( Y, Z ) }.
% 1.27/1.69 (8176) {G0,W3,D2,L1,V1,M1} { equally_directed_lines( X, X ) }.
% 1.27/1.69 (8177) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 1.27/1.69 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 1.27/1.69 (8178) {G0,W13,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 1.27/1.69 unequally_directed_lines( X, reverse_line( Y ) ), alpha7( X, Z ),
% 1.27/1.69 unequally_directed_lines( Y, Z ) }.
% 1.27/1.69 (8179) {G0,W14,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 1.27/1.69 unequally_directed_lines( X, reverse_line( Y ) ), alpha7( X, Z ),
% 1.27/1.69 unequally_directed_lines( Y, reverse_line( Z ) ) }.
% 1.27/1.69 (8180) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), unequally_directed_lines( X
% 1.27/1.69 , Y ) }.
% 1.27/1.69 (8181) {G0,W7,D3,L2,V2,M2} { ! alpha7( X, Y ), unequally_directed_lines( X
% 1.27/1.69 , reverse_line( Y ) ) }.
% 1.27/1.69 (8182) {G0,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 1.27/1.69 unequally_directed_lines( X, reverse_line( Y ) ), alpha7( X, Y ) }.
% 1.27/1.69 (8183) {G0,W7,D3,L2,V2,M2} { unequally_directed_lines( X, Y ),
% 1.27/1.69 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 1.27/1.69 (8184) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y ), !
% 1.27/1.69 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 1.27/1.69 X, Y ), left_convergent_lines( X, reverse_line( Y ) ) }.
% 1.27/1.69 (8185) {G0,W3,D2,L1,V2,M1} { ! left_apart_point( X, Y ) }.
% 1.27/1.69 (8186) {G0,W4,D3,L1,V2,M1} { ! left_apart_point( X, reverse_line( Y ) )
% 1.27/1.69 }.
% 1.27/1.69 (8187) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 1.27/1.69 (8188) {G0,W4,D3,L1,V2,M1} { ! left_convergent_lines( X, reverse_line( Y )
% 1.27/1.69 ) }.
% 1.27/1.69 (8189) {G0,W11,D3,L4,V2,M4} { ! point( X ), ! point( Y ), !
% 1.27/1.69 distinct_points( X, Y ), line( line_connecting( X, Y ) ) }.
% 1.27/1.69 (8190) {G0,W15,D3,L5,V2,M5} { ! line( X ), ! line( Y ), !
% 1.27/1.69 unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 1.27/1.69 reverse_line( Y ) ), point( intersection_point( X, Y ) ) }.
% 1.27/1.69 (8191) {G0,W8,D3,L3,V2,M3} { ! point( Y ), ! line( X ), line(
% 1.27/1.69 parallel_through_point( X, Y ) ) }.
% 1.27/1.69 (8192) {G0,W5,D3,L2,V1,M2} { ! line( X ), line( reverse_line( X ) ) }.
% 1.27/1.69 (8193) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.27/1.69 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.27/1.69 (8194) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.27/1.69 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.27/1.69 (8195) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 1.27/1.69 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 1.27/1.69 ( intersection_point( X, Y ), X ) }.
% 1.27/1.69 (8196) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 1.27/1.69 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 1.27/1.69 ( intersection_point( X, Y ), Y ) }.
% 1.27/1.69 (8197) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 1.27/1.69 parallel_through_point( Y, X ) ) }.
% 1.27/1.69 (8198) {G0,W4,D3,L1,V1,M1} { ! distinct_lines( X, reverse_line( X ) ) }.
% 1.27/1.69 (8199) {G0,W11,D4,L2,V2,M2} { ! distinct_points( X, Y ),
% 1.27/1.69 equally_directed_lines( line_connecting( X, Y ), reverse_line(
% 1.27/1.69 line_connecting( Y, X ) ) ) }.
% 1.27/1.69 (8200) {G0,W5,D3,L1,V2,M1} { equally_directed_lines(
% 1.27/1.69 parallel_through_point( Y, X ), Y ) }.
% 1.27/1.69 (8201) {G0,W34,D3,L10,V4,M10} { ! distinct_points( X, Y ), !
% 1.27/1.69 distinct_lines( Z, T ), left_apart_point( X, Z ), left_apart_point( Y, Z
% 1.27/1.69 ), left_apart_point( X, T ), left_apart_point( Y, T ), left_apart_point
% 1.27/1.69 ( X, reverse_line( Z ) ), left_apart_point( Y, reverse_line( Z ) ),
% 1.27/1.69 left_apart_point( X, reverse_line( T ) ), left_apart_point( Y,
% 1.27/1.69 reverse_line( T ) ) }.
% 1.27/1.69 (8202) {G0,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 1.27/1.69 left_apart_point( X, Z ), left_apart_point( Y, Z ), left_convergent_lines
% 1.27/1.69 ( line_connecting( X, Y ), Z ) }.
% 1.27/1.69 (8203) {G0,W9,D2,L3,V3,M3} { ! left_apart_point( X, Y ), distinct_points(
% 1.27/1.69 X, Z ), left_apart_point( Z, Y ) }.
% 1.27/1.69 (8204) {G0,W13,D3,L4,V3,M4} { ! left_apart_point( X, Y ), !
% 1.27/1.69 unequally_directed_lines( Y, Z ), distinct_lines( Y, Z ),
% 1.27/1.69 left_apart_point( X, reverse_line( Z ) ) }.
% 1.27/1.69 (8205) {G0,W9,D2,L3,V3,M3} { ! left_convergent_lines( X, Y ),
% 1.27/1.69 unequally_directed_lines( Y, Z ), left_convergent_lines( X, Z ) }.
% 1.27/1.69 (8206) {G0,W5,D2,L1,V0,M1} { between_on_line( skol1, skol2, skol3, skol4 )
% 1.27/1.69 }.
% 1.27/1.69 (8207) {G0,W5,D2,L1,V0,M1} { ! between_on_line( skol1, skol4, skol3, skol2
% 1.27/1.69 ) }.
% 1.27/1.69
% 1.27/1.69
% 1.27/1.69 Total Proof:
% 1.27/1.69
% 1.27/1.69 subsumption: (34) {G0,W15,D2,L3,V4,M1} I { alpha3( X, Y, Z, T ), alpha6( X
% 1.27/1.69 , Y, Z, T ), ! between_on_line( X, Y, Z, T ) }.
% 1.27/1.69 parent0: (8163) {G0,W15,D2,L3,V4,M3} { ! between_on_line( X, Y, Z, T ),
% 1.27/1.69 alpha3( X, Y, Z, T ), alpha6( X, Y, Z, T ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 X := X
% 1.27/1.69 Y := Y
% 1.27/1.69 Z := Z
% 1.27/1.69 T := T
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 2
% 1.27/1.69 1 ==> 0
% 1.27/1.69 2 ==> 1
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (35) {G0,W10,D2,L2,V4,M1} I { ! alpha3( X, Y, Z, T ),
% 1.27/1.69 between_on_line( X, Y, Z, T ) }.
% 1.27/1.69 parent0: (8164) {G0,W10,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ),
% 1.27/1.69 between_on_line( X, Y, Z, T ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 X := X
% 1.27/1.69 Y := Y
% 1.27/1.69 Z := Z
% 1.27/1.69 T := T
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 0
% 1.27/1.69 1 ==> 1
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (36) {G0,W10,D2,L2,V4,M1} I { ! alpha6( X, Y, Z, T ),
% 1.27/1.69 between_on_line( X, Y, Z, T ) }.
% 1.27/1.69 parent0: (8165) {G0,W10,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ),
% 1.27/1.69 between_on_line( X, Y, Z, T ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 X := X
% 1.27/1.69 Y := Y
% 1.27/1.69 Z := Z
% 1.27/1.69 T := T
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 0
% 1.27/1.69 1 ==> 1
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (37) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, T, Z ), !
% 1.27/1.69 alpha6( X, Y, Z, T ) }.
% 1.27/1.69 parent0: (8166) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ),
% 1.27/1.69 before_on_line( X, T, Z ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 X := X
% 1.27/1.69 Y := Y
% 1.27/1.69 Z := Z
% 1.27/1.69 T := T
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 1
% 1.27/1.69 1 ==> 0
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (38) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, Z, Y ), !
% 1.27/1.69 alpha6( X, Y, Z, T ) }.
% 1.27/1.69 parent0: (8167) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ),
% 1.27/1.69 before_on_line( X, Z, Y ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 X := X
% 1.27/1.69 Y := Y
% 1.27/1.69 Z := Z
% 1.27/1.69 T := T
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 1
% 1.27/1.69 1 ==> 0
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (39) {G0,W13,D2,L3,V4,M1} I { ! before_on_line( X, T, Z ), !
% 1.27/1.69 before_on_line( X, Z, Y ), alpha6( X, Y, Z, T ) }.
% 1.27/1.69 parent0: (8168) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, T, Z ), !
% 1.27/1.69 before_on_line( X, Z, Y ), alpha6( X, Y, Z, T ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 X := X
% 1.27/1.69 Y := Y
% 1.27/1.69 Z := Z
% 1.27/1.69 T := T
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 0
% 1.27/1.69 1 ==> 1
% 1.27/1.69 2 ==> 2
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (40) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, Y, Z ), !
% 1.27/1.69 alpha3( X, Y, Z, T ) }.
% 1.27/1.69 parent0: (8169) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ),
% 1.27/1.69 before_on_line( X, Y, Z ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 X := X
% 1.27/1.69 Y := Y
% 1.27/1.69 Z := Z
% 1.27/1.69 T := T
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 1
% 1.27/1.69 1 ==> 0
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (41) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, Z, T ), !
% 1.27/1.69 alpha3( X, Y, Z, T ) }.
% 1.27/1.69 parent0: (8170) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ),
% 1.27/1.69 before_on_line( X, Z, T ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 X := X
% 1.27/1.69 Y := Y
% 1.27/1.69 Z := Z
% 1.27/1.69 T := T
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 1
% 1.27/1.69 1 ==> 0
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (42) {G0,W13,D2,L3,V4,M1} I { ! before_on_line( X, Y, Z ), !
% 1.27/1.69 before_on_line( X, Z, T ), alpha3( X, Y, Z, T ) }.
% 1.27/1.69 parent0: (8171) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, Y, Z ), !
% 1.27/1.69 before_on_line( X, Z, T ), alpha3( X, Y, Z, T ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 X := X
% 1.27/1.69 Y := Y
% 1.27/1.69 Z := Z
% 1.27/1.69 T := T
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 0
% 1.27/1.69 1 ==> 1
% 1.27/1.69 2 ==> 2
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (71) {G0,W5,D2,L1,V0,M1} I { between_on_line( skol1, skol2,
% 1.27/1.69 skol3, skol4 ) }.
% 1.27/1.69 parent0: (8206) {G0,W5,D2,L1,V0,M1} { between_on_line( skol1, skol2, skol3
% 1.27/1.69 , skol4 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 0
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (72) {G0,W5,D2,L1,V0,M1} I { ! between_on_line( skol1, skol4,
% 1.27/1.69 skol3, skol2 ) }.
% 1.27/1.69 parent0: (8207) {G0,W5,D2,L1,V0,M1} { ! between_on_line( skol1, skol4,
% 1.27/1.69 skol3, skol2 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 0
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 resolution: (8279) {G1,W10,D2,L2,V0,M2} { alpha3( skol1, skol2, skol3,
% 1.27/1.69 skol4 ), alpha6( skol1, skol2, skol3, skol4 ) }.
% 1.27/1.69 parent0[2]: (34) {G0,W15,D2,L3,V4,M1} I { alpha3( X, Y, Z, T ), alpha6( X,
% 1.27/1.69 Y, Z, T ), ! between_on_line( X, Y, Z, T ) }.
% 1.27/1.69 parent1[0]: (71) {G0,W5,D2,L1,V0,M1} I { between_on_line( skol1, skol2,
% 1.27/1.69 skol3, skol4 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 X := skol1
% 1.27/1.69 Y := skol2
% 1.27/1.69 Z := skol3
% 1.27/1.69 T := skol4
% 1.27/1.69 end
% 1.27/1.69 substitution1:
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (152) {G1,W10,D2,L2,V0,M1} R(34,71) { alpha3( skol1, skol2,
% 1.27/1.69 skol3, skol4 ), alpha6( skol1, skol2, skol3, skol4 ) }.
% 1.27/1.69 parent0: (8279) {G1,W10,D2,L2,V0,M2} { alpha3( skol1, skol2, skol3, skol4
% 1.27/1.69 ), alpha6( skol1, skol2, skol3, skol4 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 0
% 1.27/1.69 1 ==> 1
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 resolution: (8280) {G1,W5,D2,L1,V0,M1} { ! alpha3( skol1, skol4, skol3,
% 1.27/1.69 skol2 ) }.
% 1.27/1.69 parent0[0]: (72) {G0,W5,D2,L1,V0,M1} I { ! between_on_line( skol1, skol4,
% 1.27/1.69 skol3, skol2 ) }.
% 1.27/1.69 parent1[1]: (35) {G0,W10,D2,L2,V4,M1} I { ! alpha3( X, Y, Z, T ),
% 1.27/1.69 between_on_line( X, Y, Z, T ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 substitution1:
% 1.27/1.69 X := skol1
% 1.27/1.69 Y := skol4
% 1.27/1.69 Z := skol3
% 1.27/1.69 T := skol2
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (157) {G1,W5,D2,L1,V0,M1} R(35,72) { ! alpha3( skol1, skol4,
% 1.27/1.69 skol3, skol2 ) }.
% 1.27/1.69 parent0: (8280) {G1,W5,D2,L1,V0,M1} { ! alpha3( skol1, skol4, skol3, skol2
% 1.27/1.69 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 0
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 resolution: (8281) {G1,W5,D2,L1,V0,M1} { ! alpha6( skol1, skol4, skol3,
% 1.27/1.69 skol2 ) }.
% 1.27/1.69 parent0[0]: (72) {G0,W5,D2,L1,V0,M1} I { ! between_on_line( skol1, skol4,
% 1.27/1.69 skol3, skol2 ) }.
% 1.27/1.69 parent1[1]: (36) {G0,W10,D2,L2,V4,M1} I { ! alpha6( X, Y, Z, T ),
% 1.27/1.69 between_on_line( X, Y, Z, T ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 substitution1:
% 1.27/1.69 X := skol1
% 1.27/1.69 Y := skol4
% 1.27/1.69 Z := skol3
% 1.27/1.69 T := skol2
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (160) {G1,W5,D2,L1,V0,M1} R(36,72) { ! alpha6( skol1, skol4,
% 1.27/1.69 skol3, skol2 ) }.
% 1.27/1.69 parent0: (8281) {G1,W5,D2,L1,V0,M1} { ! alpha6( skol1, skol4, skol3, skol2
% 1.27/1.69 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 0
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 resolution: (8282) {G1,W8,D2,L2,V0,M2} { ! before_on_line( skol1, skol2,
% 1.27/1.69 skol3 ), ! before_on_line( skol1, skol3, skol4 ) }.
% 1.27/1.69 parent0[0]: (160) {G1,W5,D2,L1,V0,M1} R(36,72) { ! alpha6( skol1, skol4,
% 1.27/1.69 skol3, skol2 ) }.
% 1.27/1.69 parent1[2]: (39) {G0,W13,D2,L3,V4,M1} I { ! before_on_line( X, T, Z ), !
% 1.27/1.69 before_on_line( X, Z, Y ), alpha6( X, Y, Z, T ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 substitution1:
% 1.27/1.69 X := skol1
% 1.27/1.69 Y := skol4
% 1.27/1.69 Z := skol3
% 1.27/1.69 T := skol2
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (169) {G2,W8,D2,L2,V0,M1} R(39,160) { ! before_on_line( skol1
% 1.27/1.69 , skol2, skol3 ), ! before_on_line( skol1, skol3, skol4 ) }.
% 1.27/1.69 parent0: (8282) {G1,W8,D2,L2,V0,M2} { ! before_on_line( skol1, skol2,
% 1.27/1.69 skol3 ), ! before_on_line( skol1, skol3, skol4 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 0
% 1.27/1.69 1 ==> 1
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 resolution: (8283) {G1,W8,D2,L2,V0,M2} { ! before_on_line( skol1, skol4,
% 1.27/1.69 skol3 ), ! before_on_line( skol1, skol3, skol2 ) }.
% 1.27/1.69 parent0[0]: (157) {G1,W5,D2,L1,V0,M1} R(35,72) { ! alpha3( skol1, skol4,
% 1.27/1.69 skol3, skol2 ) }.
% 1.27/1.69 parent1[2]: (42) {G0,W13,D2,L3,V4,M1} I { ! before_on_line( X, Y, Z ), !
% 1.27/1.69 before_on_line( X, Z, T ), alpha3( X, Y, Z, T ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 substitution1:
% 1.27/1.69 X := skol1
% 1.27/1.69 Y := skol4
% 1.27/1.69 Z := skol3
% 1.27/1.69 T := skol2
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (197) {G2,W8,D2,L2,V0,M1} R(42,157) { ! before_on_line( skol1
% 1.27/1.69 , skol3, skol2 ), ! before_on_line( skol1, skol4, skol3 ) }.
% 1.27/1.69 parent0: (8283) {G1,W8,D2,L2,V0,M2} { ! before_on_line( skol1, skol4,
% 1.27/1.69 skol3 ), ! before_on_line( skol1, skol3, skol2 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 1
% 1.27/1.69 1 ==> 0
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 resolution: (8284) {G1,W9,D2,L2,V0,M2} { before_on_line( skol1, skol4,
% 1.27/1.69 skol3 ), alpha3( skol1, skol2, skol3, skol4 ) }.
% 1.27/1.69 parent0[1]: (37) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, T, Z ), !
% 1.27/1.69 alpha6( X, Y, Z, T ) }.
% 1.27/1.69 parent1[1]: (152) {G1,W10,D2,L2,V0,M1} R(34,71) { alpha3( skol1, skol2,
% 1.27/1.69 skol3, skol4 ), alpha6( skol1, skol2, skol3, skol4 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 X := skol1
% 1.27/1.69 Y := skol2
% 1.27/1.69 Z := skol3
% 1.27/1.69 T := skol4
% 1.27/1.69 end
% 1.27/1.69 substitution1:
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (3097) {G2,W9,D2,L2,V0,M1} R(152,37) { before_on_line( skol1,
% 1.27/1.69 skol4, skol3 ), alpha3( skol1, skol2, skol3, skol4 ) }.
% 1.27/1.69 parent0: (8284) {G1,W9,D2,L2,V0,M2} { before_on_line( skol1, skol4, skol3
% 1.27/1.69 ), alpha3( skol1, skol2, skol3, skol4 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 0
% 1.27/1.69 1 ==> 1
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 resolution: (8285) {G1,W9,D2,L2,V0,M2} { before_on_line( skol1, skol3,
% 1.27/1.69 skol2 ), alpha3( skol1, skol2, skol3, skol4 ) }.
% 1.27/1.69 parent0[1]: (38) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, Z, Y ), !
% 1.27/1.69 alpha6( X, Y, Z, T ) }.
% 1.27/1.69 parent1[1]: (152) {G1,W10,D2,L2,V0,M1} R(34,71) { alpha3( skol1, skol2,
% 1.27/1.69 skol3, skol4 ), alpha6( skol1, skol2, skol3, skol4 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 X := skol1
% 1.27/1.69 Y := skol2
% 1.27/1.69 Z := skol3
% 1.27/1.69 T := skol4
% 1.27/1.69 end
% 1.27/1.69 substitution1:
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (3098) {G2,W9,D2,L2,V0,M1} R(152,38) { before_on_line( skol1,
% 1.27/1.69 skol3, skol2 ), alpha3( skol1, skol2, skol3, skol4 ) }.
% 1.27/1.69 parent0: (8285) {G1,W9,D2,L2,V0,M2} { before_on_line( skol1, skol3, skol2
% 1.27/1.69 ), alpha3( skol1, skol2, skol3, skol4 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 0
% 1.27/1.69 1 ==> 1
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 resolution: (8286) {G1,W8,D2,L2,V0,M2} { before_on_line( skol1, skol2,
% 1.27/1.69 skol3 ), before_on_line( skol1, skol4, skol3 ) }.
% 1.27/1.69 parent0[1]: (40) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, Y, Z ), !
% 1.27/1.69 alpha3( X, Y, Z, T ) }.
% 1.27/1.69 parent1[1]: (3097) {G2,W9,D2,L2,V0,M1} R(152,37) { before_on_line( skol1,
% 1.27/1.69 skol4, skol3 ), alpha3( skol1, skol2, skol3, skol4 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 X := skol1
% 1.27/1.69 Y := skol2
% 1.27/1.69 Z := skol3
% 1.27/1.69 T := skol4
% 1.27/1.69 end
% 1.27/1.69 substitution1:
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (4692) {G3,W8,D2,L2,V0,M1} R(3097,40) { before_on_line( skol1
% 1.27/1.69 , skol2, skol3 ), before_on_line( skol1, skol4, skol3 ) }.
% 1.27/1.69 parent0: (8286) {G1,W8,D2,L2,V0,M2} { before_on_line( skol1, skol2, skol3
% 1.27/1.69 ), before_on_line( skol1, skol4, skol3 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 0
% 1.27/1.69 1 ==> 1
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 resolution: (8287) {G1,W8,D2,L2,V0,M2} { before_on_line( skol1, skol3,
% 1.27/1.69 skol4 ), before_on_line( skol1, skol4, skol3 ) }.
% 1.27/1.69 parent0[1]: (41) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, Z, T ), !
% 1.27/1.69 alpha3( X, Y, Z, T ) }.
% 1.27/1.69 parent1[1]: (3097) {G2,W9,D2,L2,V0,M1} R(152,37) { before_on_line( skol1,
% 1.27/1.69 skol4, skol3 ), alpha3( skol1, skol2, skol3, skol4 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 X := skol1
% 1.27/1.69 Y := skol2
% 1.27/1.69 Z := skol3
% 1.27/1.69 T := skol4
% 1.27/1.69 end
% 1.27/1.69 substitution1:
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (4693) {G3,W8,D2,L2,V0,M1} R(3097,41) { before_on_line( skol1
% 1.27/1.69 , skol4, skol3 ), before_on_line( skol1, skol3, skol4 ) }.
% 1.27/1.69 parent0: (8287) {G1,W8,D2,L2,V0,M2} { before_on_line( skol1, skol3, skol4
% 1.27/1.69 ), before_on_line( skol1, skol4, skol3 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 1
% 1.27/1.69 1 ==> 0
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 resolution: (8288) {G3,W8,D2,L2,V0,M2} { ! before_on_line( skol1, skol2,
% 1.27/1.69 skol3 ), before_on_line( skol1, skol4, skol3 ) }.
% 1.27/1.69 parent0[1]: (169) {G2,W8,D2,L2,V0,M1} R(39,160) { ! before_on_line( skol1,
% 1.27/1.69 skol2, skol3 ), ! before_on_line( skol1, skol3, skol4 ) }.
% 1.27/1.69 parent1[1]: (4693) {G3,W8,D2,L2,V0,M1} R(3097,41) { before_on_line( skol1,
% 1.27/1.69 skol4, skol3 ), before_on_line( skol1, skol3, skol4 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 substitution1:
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 resolution: (8289) {G4,W8,D2,L2,V0,M2} { before_on_line( skol1, skol4,
% 1.27/1.69 skol3 ), before_on_line( skol1, skol4, skol3 ) }.
% 1.27/1.69 parent0[0]: (8288) {G3,W8,D2,L2,V0,M2} { ! before_on_line( skol1, skol2,
% 1.27/1.69 skol3 ), before_on_line( skol1, skol4, skol3 ) }.
% 1.27/1.69 parent1[0]: (4692) {G3,W8,D2,L2,V0,M1} R(3097,40) { before_on_line( skol1,
% 1.27/1.69 skol2, skol3 ), before_on_line( skol1, skol4, skol3 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 substitution1:
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 factor: (8290) {G4,W4,D2,L1,V0,M1} { before_on_line( skol1, skol4, skol3 )
% 1.27/1.69 }.
% 1.27/1.69 parent0[0, 1]: (8289) {G4,W8,D2,L2,V0,M2} { before_on_line( skol1, skol4,
% 1.27/1.69 skol3 ), before_on_line( skol1, skol4, skol3 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (4939) {G4,W4,D2,L1,V0,M1} R(4693,169);r(4692) {
% 1.27/1.69 before_on_line( skol1, skol4, skol3 ) }.
% 1.27/1.69 parent0: (8290) {G4,W4,D2,L1,V0,M1} { before_on_line( skol1, skol4, skol3
% 1.27/1.69 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 0
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 resolution: (8291) {G3,W4,D2,L1,V0,M1} { ! before_on_line( skol1, skol3,
% 1.27/1.69 skol2 ) }.
% 1.27/1.69 parent0[1]: (197) {G2,W8,D2,L2,V0,M1} R(42,157) { ! before_on_line( skol1,
% 1.27/1.69 skol3, skol2 ), ! before_on_line( skol1, skol4, skol3 ) }.
% 1.27/1.69 parent1[0]: (4939) {G4,W4,D2,L1,V0,M1} R(4693,169);r(4692) { before_on_line
% 1.27/1.69 ( skol1, skol4, skol3 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 substitution1:
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (4959) {G5,W4,D2,L1,V0,M1} R(4939,197) { ! before_on_line(
% 1.27/1.69 skol1, skol3, skol2 ) }.
% 1.27/1.69 parent0: (8291) {G3,W4,D2,L1,V0,M1} { ! before_on_line( skol1, skol3,
% 1.27/1.69 skol2 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 0
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 resolution: (8292) {G3,W5,D2,L1,V0,M1} { alpha3( skol1, skol2, skol3,
% 1.27/1.69 skol4 ) }.
% 1.27/1.69 parent0[0]: (4959) {G5,W4,D2,L1,V0,M1} R(4939,197) { ! before_on_line(
% 1.27/1.69 skol1, skol3, skol2 ) }.
% 1.27/1.69 parent1[0]: (3098) {G2,W9,D2,L2,V0,M1} R(152,38) { before_on_line( skol1,
% 1.27/1.69 skol3, skol2 ), alpha3( skol1, skol2, skol3, skol4 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 substitution1:
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (8050) {G6,W5,D2,L1,V0,M1} S(3098);r(4959) { alpha3( skol1,
% 1.27/1.69 skol2, skol3, skol4 ) }.
% 1.27/1.69 parent0: (8292) {G3,W5,D2,L1,V0,M1} { alpha3( skol1, skol2, skol3, skol4 )
% 1.27/1.69 }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 0
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 resolution: (8293) {G1,W4,D2,L1,V0,M1} { before_on_line( skol1, skol2,
% 1.27/1.69 skol3 ) }.
% 1.27/1.69 parent0[1]: (40) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, Y, Z ), !
% 1.27/1.69 alpha3( X, Y, Z, T ) }.
% 1.27/1.69 parent1[0]: (8050) {G6,W5,D2,L1,V0,M1} S(3098);r(4959) { alpha3( skol1,
% 1.27/1.69 skol2, skol3, skol4 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 X := skol1
% 1.27/1.69 Y := skol2
% 1.27/1.69 Z := skol3
% 1.27/1.69 T := skol4
% 1.27/1.69 end
% 1.27/1.69 substitution1:
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (8051) {G7,W4,D2,L1,V0,M1} R(8050,40) { before_on_line( skol1
% 1.27/1.69 , skol2, skol3 ) }.
% 1.27/1.69 parent0: (8293) {G1,W4,D2,L1,V0,M1} { before_on_line( skol1, skol2, skol3
% 1.27/1.69 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 0
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 resolution: (8294) {G1,W4,D2,L1,V0,M1} { before_on_line( skol1, skol3,
% 1.27/1.69 skol4 ) }.
% 1.27/1.69 parent0[1]: (41) {G0,W9,D2,L2,V4,M1} I { before_on_line( X, Z, T ), !
% 1.27/1.69 alpha3( X, Y, Z, T ) }.
% 1.27/1.69 parent1[0]: (8050) {G6,W5,D2,L1,V0,M1} S(3098);r(4959) { alpha3( skol1,
% 1.27/1.69 skol2, skol3, skol4 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 X := skol1
% 1.27/1.69 Y := skol2
% 1.27/1.69 Z := skol3
% 1.27/1.69 T := skol4
% 1.27/1.69 end
% 1.27/1.69 substitution1:
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (8052) {G7,W4,D2,L1,V0,M1} R(8050,41) { before_on_line( skol1
% 1.27/1.69 , skol3, skol4 ) }.
% 1.27/1.69 parent0: (8294) {G1,W4,D2,L1,V0,M1} { before_on_line( skol1, skol3, skol4
% 1.27/1.69 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 0 ==> 0
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 resolution: (8295) {G3,W4,D2,L1,V0,M1} { ! before_on_line( skol1, skol2,
% 1.27/1.69 skol3 ) }.
% 1.27/1.69 parent0[1]: (169) {G2,W8,D2,L2,V0,M1} R(39,160) { ! before_on_line( skol1,
% 1.27/1.69 skol2, skol3 ), ! before_on_line( skol1, skol3, skol4 ) }.
% 1.27/1.69 parent1[0]: (8052) {G7,W4,D2,L1,V0,M1} R(8050,41) { before_on_line( skol1,
% 1.27/1.69 skol3, skol4 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 substitution1:
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 resolution: (8296) {G4,W0,D0,L0,V0,M0} { }.
% 1.27/1.69 parent0[0]: (8295) {G3,W4,D2,L1,V0,M1} { ! before_on_line( skol1, skol2,
% 1.27/1.69 skol3 ) }.
% 1.27/1.69 parent1[0]: (8051) {G7,W4,D2,L1,V0,M1} R(8050,40) { before_on_line( skol1,
% 1.27/1.69 skol2, skol3 ) }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 substitution1:
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 subsumption: (8127) {G8,W0,D0,L0,V0,M0} R(8052,169);r(8051) { }.
% 1.27/1.69 parent0: (8296) {G4,W0,D0,L0,V0,M0} { }.
% 1.27/1.69 substitution0:
% 1.27/1.69 end
% 1.27/1.69 permutation0:
% 1.27/1.69 end
% 1.27/1.69
% 1.27/1.69 Proof check complete!
% 1.27/1.69
% 1.27/1.69 Memory use:
% 1.27/1.69
% 1.27/1.69 space for terms: 100817
% 1.27/1.69 space for clauses: 349404
% 1.27/1.69
% 1.27/1.69
% 1.27/1.69 clauses generated: 32920
% 1.27/1.69 clauses kept: 8128
% 1.27/1.69 clauses selected: 581
% 1.27/1.69 clauses deleted: 61
% 1.27/1.69 clauses inuse deleted: 28
% 1.27/1.69
% 1.27/1.69 subsentry: 854284
% 1.27/1.69 literals s-matched: 309660
% 1.27/1.69 literals matched: 309560
% 1.27/1.69 full subsumption: 126930
% 1.27/1.69
% 1.27/1.69 checksum: 967290839
% 1.27/1.69
% 1.27/1.69
% 1.27/1.69 Bliksem ended
%------------------------------------------------------------------------------