%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO266+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 02:53:25 EDT 2022
% Result : Theorem 0.72s 1.09s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO266+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Sat Jun 18 05:18:53 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.72/1.08 *** allocated 10000 integers for termspace/termends
% 0.72/1.08 *** allocated 10000 integers for clauses
% 0.72/1.08 *** allocated 10000 integers for justifications
% 0.72/1.08 Bliksem 1.12
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Automatic Strategy Selection
% 0.72/1.08
% 0.72/1.08
% 0.72/1.08 Clauses:
% 0.72/1.08
% 0.72/1.08 { ! unequally_directed_opposite_lines( X, Y ), unequally_directed_lines( X
% 0.72/1.08 , reverse_line( Y ) ) }.
% 0.72/1.08 { ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.72/1.08 unequally_directed_opposite_lines( X, Y ) }.
% 0.72/1.08 { ! right_apart_point( X, Y ), left_apart_point( X, reverse_line( Y ) ) }.
% 0.72/1.08 { ! left_apart_point( X, reverse_line( Y ) ), right_apart_point( X, Y ) }.
% 0.72/1.08 { ! right_convergent_lines( X, Y ), left_convergent_lines( X, reverse_line
% 0.72/1.08 ( Y ) ) }.
% 0.72/1.08 { ! left_convergent_lines( X, reverse_line( Y ) ), right_convergent_lines(
% 0.72/1.08 X, Y ) }.
% 0.72/1.08 { ! equally_directed_lines( X, Y ), ! unequally_directed_lines( X, Y ) }.
% 0.72/1.08 { unequally_directed_lines( X, Y ), equally_directed_lines( X, Y ) }.
% 0.72/1.08 { ! equally_directed_opposite_lines( X, Y ), !
% 0.72/1.08 unequally_directed_opposite_lines( X, Y ) }.
% 0.72/1.08 { unequally_directed_opposite_lines( X, Y ),
% 0.72/1.08 equally_directed_opposite_lines( X, Y ) }.
% 0.72/1.08 { ! apart_point_and_line( X, Y ), left_apart_point( X, Y ),
% 0.72/1.08 right_apart_point( X, Y ) }.
% 0.72/1.08 { ! left_apart_point( X, Y ), apart_point_and_line( X, Y ) }.
% 0.72/1.08 { ! right_apart_point( X, Y ), apart_point_and_line( X, Y ) }.
% 0.72/1.08 { ! convergent_lines( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.72/1.08 { ! convergent_lines( X, Y ), unequally_directed_opposite_lines( X, Y ) }.
% 0.72/1.08 { ! unequally_directed_lines( X, Y ), ! unequally_directed_opposite_lines(
% 0.72/1.08 X, Y ), convergent_lines( X, Y ) }.
% 0.72/1.08 { ! divides_points( Z, X, Y ), alpha1( X, Y, Z ), alpha4( X, Y, Z ) }.
% 0.72/1.08 { ! alpha1( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.72/1.08 { ! alpha4( X, Y, Z ), divides_points( Z, X, Y ) }.
% 0.72/1.08 { ! alpha4( X, Y, Z ), right_apart_point( X, Z ) }.
% 0.72/1.08 { ! alpha4( X, Y, Z ), left_apart_point( Y, Z ) }.
% 0.72/1.08 { ! right_apart_point( X, Z ), ! left_apart_point( Y, Z ), alpha4( X, Y, Z
% 0.72/1.08 ) }.
% 0.72/1.08 { ! alpha1( X, Y, Z ), left_apart_point( X, Z ) }.
% 0.72/1.08 { ! alpha1( X, Y, Z ), right_apart_point( Y, Z ) }.
% 0.72/1.08 { ! left_apart_point( X, Z ), ! right_apart_point( Y, Z ), alpha1( X, Y, Z
% 0.72/1.08 ) }.
% 0.72/1.08 { ! before_on_line( X, Y, Z ), distinct_points( Y, Z ) }.
% 0.72/1.08 { ! before_on_line( X, Y, Z ), alpha2( X, Y, Z ) }.
% 0.72/1.08 { ! distinct_points( Y, Z ), ! alpha2( X, Y, Z ), before_on_line( X, Y, Z )
% 0.72/1.08 }.
% 0.72/1.08 { ! alpha2( X, Y, Z ), incident_point_and_line( Y, X ) }.
% 0.72/1.08 { ! alpha2( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.72/1.08 { ! incident_point_and_line( Y, X ), ! alpha5( X, Y, Z ), alpha2( X, Y, Z )
% 0.72/1.08 }.
% 0.72/1.08 { ! alpha5( X, Y, Z ), incident_point_and_line( Z, X ) }.
% 0.72/1.08 { ! alpha5( X, Y, Z ), equally_directed_lines( X, line_connecting( Y, Z ) )
% 0.72/1.08 }.
% 0.72/1.08 { ! incident_point_and_line( Z, X ), ! equally_directed_lines( X,
% 0.72/1.08 line_connecting( Y, Z ) ), alpha5( X, Y, Z ) }.
% 0.72/1.08 { ! between_on_line( X, Y, Z, T ), alpha3( X, Y, Z, T ), alpha6( X, Y, Z, T
% 0.72/1.08 ) }.
% 0.72/1.08 { ! alpha3( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.72/1.08 { ! alpha6( X, Y, Z, T ), between_on_line( X, Y, Z, T ) }.
% 0.72/1.08 { ! alpha6( X, Y, Z, T ), before_on_line( X, T, Z ) }.
% 0.72/1.08 { ! alpha6( X, Y, Z, T ), before_on_line( X, Z, Y ) }.
% 0.72/1.08 { ! before_on_line( X, T, Z ), ! before_on_line( X, Z, Y ), alpha6( X, Y, Z
% 0.72/1.08 , T ) }.
% 0.72/1.08 { ! alpha3( X, Y, Z, T ), before_on_line( X, Y, Z ) }.
% 0.72/1.08 { ! alpha3( X, Y, Z, T ), before_on_line( X, Z, T ) }.
% 0.72/1.08 { ! before_on_line( X, Y, Z ), ! before_on_line( X, Z, T ), alpha3( X, Y, Z
% 0.72/1.08 , T ) }.
% 0.72/1.08 { ! distinct_points( X, X ) }.
% 0.72/1.08 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.72/1.08 ) }.
% 0.72/1.08 { ! distinct_lines( X, X ) }.
% 0.72/1.08 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.72/1.08 }.
% 0.72/1.08 { equally_directed_lines( X, X ) }.
% 0.72/1.08 { ! unequally_directed_lines( X, Y ), unequally_directed_lines( X, Z ),
% 0.72/1.08 unequally_directed_lines( Y, Z ) }.
% 0.72/1.08 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.72/1.08 reverse_line( Y ) ), alpha7( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.72/1.08 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.72/1.08 reverse_line( Y ) ), alpha7( X, Z ), unequally_directed_lines( Y,
% 0.72/1.08 reverse_line( Z ) ) }.
% 0.72/1.08 { ! alpha7( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.72/1.08 { ! alpha7( X, Y ), unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.72/1.09 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.72/1.09 reverse_line( Y ) ), alpha7( X, Y ) }.
% 0.72/1.09 { unequally_directed_lines( X, Y ), unequally_directed_lines( X,
% 0.72/1.09 reverse_line( Y ) ) }.
% 0.72/1.09 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.72/1.09 reverse_line( Y ) ), left_convergent_lines( X, Y ), left_convergent_lines
% 0.72/1.09 ( X, reverse_line( Y ) ) }.
% 0.72/1.09 { ! left_apart_point( X, Y ) }.
% 0.72/1.09 { ! left_apart_point( X, reverse_line( Y ) ) }.
% 0.72/1.09 { ! left_convergent_lines( X, Y ) }.
% 0.72/1.09 { ! left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.72/1.09 { ! point( X ), ! point( Y ), ! distinct_points( X, Y ), line(
% 0.72/1.09 line_connecting( X, Y ) ) }.
% 0.72/1.09 { ! line( X ), ! line( Y ), ! unequally_directed_lines( X, Y ), !
% 0.72/1.09 unequally_directed_lines( X, reverse_line( Y ) ), point(
% 0.72/1.09 intersection_point( X, Y ) ) }.
% 0.72/1.09 { ! point( Y ), ! line( X ), line( parallel_through_point( X, Y ) ) }.
% 0.72/1.09 { ! line( X ), line( reverse_line( X ) ) }.
% 0.72/1.09 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 0.72/1.09 , Y ) ) }.
% 0.72/1.09 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 0.72/1.09 , Y ) ) }.
% 0.72/1.09 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.72/1.09 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 0.72/1.09 X ) }.
% 0.72/1.09 { ! unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.72/1.09 reverse_line( Y ) ), ! apart_point_and_line( intersection_point( X, Y ),
% 0.72/1.09 Y ) }.
% 0.72/1.09 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 0.72/1.09 { ! distinct_lines( X, reverse_line( X ) ) }.
% 0.72/1.09 { ! distinct_points( X, Y ), equally_directed_lines( line_connecting( X, Y
% 0.72/1.09 ), reverse_line( line_connecting( Y, X ) ) ) }.
% 0.72/1.09 { equally_directed_lines( parallel_through_point( Y, X ), Y ) }.
% 0.72/1.09 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), left_apart_point( X
% 0.72/1.09 , Z ), left_apart_point( Y, Z ), left_apart_point( X, T ),
% 0.72/1.09 left_apart_point( Y, T ), left_apart_point( X, reverse_line( Z ) ),
% 0.72/1.09 left_apart_point( Y, reverse_line( Z ) ), left_apart_point( X,
% 0.72/1.09 reverse_line( T ) ), left_apart_point( Y, reverse_line( T ) ) }.
% 0.72/1.09 { ! distinct_points( X, Y ), ! left_apart_point( X, Z ), left_apart_point(
% 0.72/1.09 Y, Z ), left_convergent_lines( line_connecting( X, Y ), Z ) }.
% 0.72/1.09 { ! left_apart_point( X, Y ), distinct_points( X, Z ), left_apart_point( Z
% 0.72/1.09 , Y ) }.
% 0.72/1.09 { ! left_apart_point( X, Y ), ! unequally_directed_lines( Y, Z ),
% 0.72/1.09 distinct_lines( Y, Z ), left_apart_point( X, reverse_line( Z ) ) }.
% 0.72/1.09 { ! left_convergent_lines( X, Y ), unequally_directed_lines( Y, Z ),
% 0.72/1.09 left_convergent_lines( X, Z ) }.
% 0.72/1.09 { alpha8( skol1, skol2 ), unequally_directed_opposite_lines( skol2, skol1 )
% 0.72/1.09 }.
% 0.72/1.09 { alpha8( skol1, skol2 ), ! unequally_directed_opposite_lines( skol1, skol2
% 0.72/1.09 ) }.
% 0.72/1.09 { ! alpha8( X, Y ), unequally_directed_opposite_lines( X, Y ) }.
% 0.72/1.09 { ! alpha8( X, Y ), ! unequally_directed_opposite_lines( Y, X ) }.
% 0.72/1.09 { ! unequally_directed_opposite_lines( X, Y ),
% 0.72/1.09 unequally_directed_opposite_lines( Y, X ), alpha8( X, Y ) }.
% 0.72/1.09
% 0.72/1.09 percentage equality = 0.000000, percentage horn = 0.802632
% 0.72/1.09 This a non-horn, non-equality problem
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Options Used:
% 0.72/1.09
% 0.72/1.09 useres = 1
% 0.72/1.09 useparamod = 0
% 0.72/1.09 useeqrefl = 0
% 0.72/1.09 useeqfact = 0
% 0.72/1.09 usefactor = 1
% 0.72/1.09 usesimpsplitting = 0
% 0.72/1.09 usesimpdemod = 0
% 0.72/1.09 usesimpres = 3
% 0.72/1.09
% 0.72/1.09 resimpinuse = 1000
% 0.72/1.09 resimpclauses = 20000
% 0.72/1.09 substype = standard
% 0.72/1.09 backwardsubs = 1
% 0.72/1.09 selectoldest = 5
% 0.72/1.09
% 0.72/1.09 litorderings [0] = split
% 0.72/1.09 litorderings [1] = liftord
% 0.72/1.09
% 0.72/1.09 termordering = none
% 0.72/1.09
% 0.72/1.09 litapriori = 1
% 0.72/1.09 termapriori = 0
% 0.72/1.09 litaposteriori = 0
% 0.72/1.09 termaposteriori = 0
% 0.72/1.09 demodaposteriori = 0
% 0.72/1.09 ordereqreflfact = 0
% 0.72/1.09
% 0.72/1.09 litselect = none
% 0.72/1.09
% 0.72/1.09 maxweight = 15
% 0.72/1.09 maxdepth = 30000
% 0.72/1.09 maxlength = 115
% 0.72/1.09 maxnrvars = 195
% 0.72/1.09 excuselevel = 1
% 0.72/1.09 increasemaxweight = 1
% 0.72/1.09
% 0.72/1.09 maxselected = 10000000
% 0.72/1.09 maxnrclauses = 10000000
% 0.72/1.09
% 0.72/1.09 showgenerated = 0
% 0.72/1.09 showkept = 0
% 0.72/1.09 showselected = 0
% 0.72/1.09 showdeleted = 0
% 0.72/1.09 showresimp = 1
% 0.72/1.09 showstatus = 2000
% 0.72/1.09
% 0.72/1.09 prologoutput = 0
% 0.72/1.09 nrgoals = 5000000
% 0.72/1.09 totalproof = 1
% 0.72/1.09
% 0.72/1.09 Symbols occurring in the translation:
% 0.72/1.09
% 0.72/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.72/1.09 . [1, 2] (w:1, o:24, a:1, s:1, b:0),
% 0.72/1.09 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.72/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.72/1.09 unequally_directed_opposite_lines [37, 2] (w:1, o:48, a:1, s:1, b:0)
% 0.72/1.09 ,
% 0.72/1.09 reverse_line [38, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.72/1.09 unequally_directed_lines [39, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.72/1.09 right_apart_point [40, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.72/1.09 left_apart_point [41, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.72/1.09 right_convergent_lines [42, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.72/1.09 left_convergent_lines [43, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.72/1.09 equally_directed_lines [44, 2] (w:1, o:56, a:1, s:1, b:0),
% 0.72/1.09 equally_directed_opposite_lines [45, 2] (w:1, o:57, a:1, s:1, b:0),
% 0.72/1.09 apart_point_and_line [48, 2] (w:1, o:58, a:1, s:1, b:0),
% 0.72/1.09 convergent_lines [50, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.72/1.09 divides_points [52, 3] (w:1, o:66, a:1, s:1, b:0),
% 0.72/1.09 before_on_line [53, 3] (w:1, o:71, a:1, s:1, b:0),
% 0.72/1.09 distinct_points [54, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.72/1.09 incident_point_and_line [55, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.72/1.09 line_connecting [56, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.72/1.09 between_on_line [58, 4] (w:1, o:74, a:1, s:1, b:0),
% 0.72/1.09 distinct_lines [59, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.72/1.09 point [61, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.72/1.09 line [62, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.72/1.09 intersection_point [63, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.72/1.09 parallel_through_point [64, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.72/1.09 alpha1 [65, 3] (w:1, o:67, a:1, s:1, b:0),
% 0.72/1.09 alpha2 [66, 3] (w:1, o:68, a:1, s:1, b:0),
% 0.72/1.09 alpha3 [67, 4] (w:1, o:72, a:1, s:1, b:0),
% 0.72/1.09 alpha4 [68, 3] (w:1, o:69, a:1, s:1, b:0),
% 0.72/1.09 alpha5 [69, 3] (w:1, o:70, a:1, s:1, b:0),
% 0.72/1.09 alpha6 [70, 4] (w:1, o:73, a:1, s:1, b:0),
% 0.72/1.09 alpha7 [71, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.72/1.09 alpha8 [72, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.72/1.09 skol1 [73, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.72/1.09 skol2 [74, 0] (w:1, o:15, a:1, s:1, b:0).
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Starting Search:
% 0.72/1.09
% 0.72/1.09 *** allocated 15000 integers for clauses
% 0.72/1.09 *** allocated 22500 integers for clauses
% 0.72/1.09
% 0.72/1.09 Bliksems!, er is een bewijs:
% 0.72/1.09 % SZS status Theorem
% 0.72/1.09 % SZS output start Refutation
% 0.72/1.09
% 0.72/1.09 (0) {G0,W7,D3,L2,V2,M1} I { ! unequally_directed_opposite_lines( X, Y ),
% 0.72/1.09 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.72/1.09 (1) {G0,W7,D3,L2,V2,M1} I { unequally_directed_opposite_lines( X, Y ), !
% 0.72/1.09 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.72/1.09 (6) {G0,W6,D2,L2,V2,M1} I { ! unequally_directed_lines( X, Y ), !
% 0.72/1.09 equally_directed_lines( X, Y ) }.
% 0.72/1.09 (47) {G0,W3,D2,L1,V1,M1} I { equally_directed_lines( X, X ) }.
% 0.72/1.09 (48) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.72/1.09 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.72/1.09 (54) {G0,W7,D3,L2,V2,M2} I { unequally_directed_lines( X, reverse_line( Y )
% 0.72/1.09 ), unequally_directed_lines( X, Y ) }.
% 0.72/1.09 (55) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y ), !
% 0.72/1.09 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 0.72/1.09 X, reverse_line( Y ) ), left_convergent_lines( X, Y ) }.
% 0.72/1.09 (57) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y ) }.
% 0.72/1.09 (71) {G0,W6,D2,L2,V0,M1} I { unequally_directed_opposite_lines( skol2,
% 0.72/1.09 skol1 ), alpha8( skol1, skol2 ) }.
% 0.72/1.09 (72) {G0,W6,D2,L2,V0,M1} I { ! unequally_directed_opposite_lines( skol1,
% 0.72/1.09 skol2 ), alpha8( skol1, skol2 ) }.
% 0.72/1.09 (73) {G0,W6,D2,L2,V2,M1} I { unequally_directed_opposite_lines( X, Y ), !
% 0.72/1.09 alpha8( X, Y ) }.
% 0.72/1.09 (74) {G0,W6,D2,L2,V2,M1} I { ! unequally_directed_opposite_lines( Y, X ), !
% 0.72/1.09 alpha8( X, Y ) }.
% 0.72/1.09 (87) {G1,W3,D2,L1,V1,M1} R(6,47) { ! unequally_directed_lines( X, X ) }.
% 0.72/1.09 (90) {G1,W6,D2,L2,V0,M1} R(72,74) { ! unequally_directed_opposite_lines(
% 0.72/1.09 skol2, skol1 ), ! unequally_directed_opposite_lines( skol1, skol2 ) }.
% 0.72/1.09 (92) {G1,W6,D2,L2,V0,M1} R(71,73) { unequally_directed_opposite_lines(
% 0.72/1.09 skol2, skol1 ), unequally_directed_opposite_lines( skol1, skol2 ) }.
% 0.72/1.09 (102) {G1,W6,D2,L2,V2,M1} R(54,1) { unequally_directed_opposite_lines( X, Y
% 0.72/1.09 ), unequally_directed_lines( X, Y ) }.
% 0.72/1.09 (139) {G2,W6,D2,L2,V2,M2} R(48,87) { ! unequally_directed_lines( Y, X ),
% 0.72/1.09 unequally_directed_lines( X, Y ) }.
% 0.72/1.09 (148) {G3,W6,D2,L2,V2,M1} R(139,102) { unequally_directed_opposite_lines( Y
% 0.72/1.09 , X ), unequally_directed_lines( X, Y ) }.
% 0.72/1.09 (315) {G1,W7,D3,L2,V2,M2} S(55);r(57);r(57) { ! unequally_directed_lines( X
% 0.72/1.09 , reverse_line( Y ) ), ! unequally_directed_lines( X, Y ) }.
% 0.72/1.09 (359) {G2,W6,D2,L2,V2,M1} R(315,0) { ! unequally_directed_opposite_lines( X
% 0.72/1.09 , Y ), ! unequally_directed_lines( X, Y ) }.
% 0.72/1.09 (391) {G4,W6,D2,L2,V2,M2} R(359,148) { unequally_directed_opposite_lines( Y
% 0.72/1.09 , X ), ! unequally_directed_opposite_lines( X, Y ) }.
% 0.72/1.09 (404) {G5,W3,D2,L1,V0,M1} R(391,92);f { unequally_directed_opposite_lines(
% 0.72/1.09 skol2, skol1 ) }.
% 0.72/1.09 (405) {G6,W0,D0,L0,V0,M0} R(391,90);f;r(404) { }.
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 % SZS output end Refutation
% 0.72/1.09 found a proof!
% 0.72/1.09
% 0.72/1.09 *** allocated 33750 integers for clauses
% 0.72/1.09
% 0.72/1.09 Unprocessed initial clauses:
% 0.72/1.09
% 0.72/1.09 (407) {G0,W7,D3,L2,V2,M2} { ! unequally_directed_opposite_lines( X, Y ),
% 0.72/1.09 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.72/1.09 (408) {G0,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, reverse_line( Y
% 0.72/1.09 ) ), unequally_directed_opposite_lines( X, Y ) }.
% 0.72/1.09 (409) {G0,W7,D3,L2,V2,M2} { ! right_apart_point( X, Y ), left_apart_point
% 0.72/1.09 ( X, reverse_line( Y ) ) }.
% 0.72/1.09 (410) {G0,W7,D3,L2,V2,M2} { ! left_apart_point( X, reverse_line( Y ) ),
% 0.72/1.09 right_apart_point( X, Y ) }.
% 0.72/1.09 (411) {G0,W7,D3,L2,V2,M2} { ! right_convergent_lines( X, Y ),
% 0.72/1.09 left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.72/1.09 (412) {G0,W7,D3,L2,V2,M2} { ! left_convergent_lines( X, reverse_line( Y )
% 0.72/1.09 ), right_convergent_lines( X, Y ) }.
% 0.72/1.09 (413) {G0,W6,D2,L2,V2,M2} { ! equally_directed_lines( X, Y ), !
% 0.72/1.09 unequally_directed_lines( X, Y ) }.
% 0.72/1.09 (414) {G0,W6,D2,L2,V2,M2} { unequally_directed_lines( X, Y ),
% 0.72/1.09 equally_directed_lines( X, Y ) }.
% 0.72/1.09 (415) {G0,W6,D2,L2,V2,M2} { ! equally_directed_opposite_lines( X, Y ), !
% 0.72/1.09 unequally_directed_opposite_lines( X, Y ) }.
% 0.72/1.09 (416) {G0,W6,D2,L2,V2,M2} { unequally_directed_opposite_lines( X, Y ),
% 0.72/1.09 equally_directed_opposite_lines( X, Y ) }.
% 0.72/1.09 (417) {G0,W9,D2,L3,V2,M3} { ! apart_point_and_line( X, Y ),
% 0.72/1.09 left_apart_point( X, Y ), right_apart_point( X, Y ) }.
% 0.72/1.09 (418) {G0,W6,D2,L2,V2,M2} { ! left_apart_point( X, Y ),
% 0.72/1.09 apart_point_and_line( X, Y ) }.
% 0.72/1.09 (419) {G0,W6,D2,L2,V2,M2} { ! right_apart_point( X, Y ),
% 0.72/1.09 apart_point_and_line( X, Y ) }.
% 0.72/1.09 (420) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.72/1.09 unequally_directed_lines( X, Y ) }.
% 0.72/1.09 (421) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 0.72/1.09 unequally_directed_opposite_lines( X, Y ) }.
% 0.72/1.09 (422) {G0,W9,D2,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.72/1.09 unequally_directed_opposite_lines( X, Y ), convergent_lines( X, Y ) }.
% 0.72/1.09 (423) {G0,W12,D2,L3,V3,M3} { ! divides_points( Z, X, Y ), alpha1( X, Y, Z
% 0.72/1.09 ), alpha4( X, Y, Z ) }.
% 0.72/1.09 (424) {G0,W8,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), divides_points( Z, X, Y )
% 0.72/1.09 }.
% 0.72/1.09 (425) {G0,W8,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), divides_points( Z, X, Y )
% 0.72/1.09 }.
% 0.72/1.09 (426) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), right_apart_point( X, Z )
% 0.72/1.09 }.
% 0.72/1.09 (427) {G0,W7,D2,L2,V3,M2} { ! alpha4( X, Y, Z ), left_apart_point( Y, Z )
% 0.72/1.09 }.
% 0.72/1.09 (428) {G0,W10,D2,L3,V3,M3} { ! right_apart_point( X, Z ), !
% 0.72/1.09 left_apart_point( Y, Z ), alpha4( X, Y, Z ) }.
% 0.72/1.09 (429) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), left_apart_point( X, Z )
% 0.72/1.09 }.
% 0.72/1.09 (430) {G0,W7,D2,L2,V3,M2} { ! alpha1( X, Y, Z ), right_apart_point( Y, Z )
% 0.72/1.09 }.
% 0.72/1.09 (431) {G0,W10,D2,L3,V3,M3} { ! left_apart_point( X, Z ), !
% 0.72/1.09 right_apart_point( Y, Z ), alpha1( X, Y, Z ) }.
% 0.72/1.09 (432) {G0,W7,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), distinct_points(
% 0.72/1.09 Y, Z ) }.
% 0.72/1.09 (433) {G0,W8,D2,L2,V3,M2} { ! before_on_line( X, Y, Z ), alpha2( X, Y, Z )
% 0.72/1.09 }.
% 0.72/1.09 (434) {G0,W11,D2,L3,V3,M3} { ! distinct_points( Y, Z ), ! alpha2( X, Y, Z
% 0.72/1.09 ), before_on_line( X, Y, Z ) }.
% 0.72/1.09 (435) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), incident_point_and_line(
% 0.72/1.09 Y, X ) }.
% 0.72/1.09 (436) {G0,W8,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), alpha5( X, Y, Z ) }.
% 0.72/1.09 (437) {G0,W11,D2,L3,V3,M3} { ! incident_point_and_line( Y, X ), ! alpha5(
% 0.72/1.09 X, Y, Z ), alpha2( X, Y, Z ) }.
% 0.72/1.09 (438) {G0,W7,D2,L2,V3,M2} { ! alpha5( X, Y, Z ), incident_point_and_line(
% 0.72/1.09 Z, X ) }.
% 0.72/1.09 (439) {G0,W9,D3,L2,V3,M2} { ! alpha5( X, Y, Z ), equally_directed_lines( X
% 0.72/1.09 , line_connecting( Y, Z ) ) }.
% 0.72/1.09 (440) {G0,W12,D3,L3,V3,M3} { ! incident_point_and_line( Z, X ), !
% 0.72/1.09 equally_directed_lines( X, line_connecting( Y, Z ) ), alpha5( X, Y, Z )
% 0.72/1.09 }.
% 0.72/1.09 (441) {G0,W15,D2,L3,V4,M3} { ! between_on_line( X, Y, Z, T ), alpha3( X, Y
% 0.72/1.09 , Z, T ), alpha6( X, Y, Z, T ) }.
% 0.72/1.09 (442) {G0,W10,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), between_on_line( X, Y
% 0.72/1.09 , Z, T ) }.
% 0.72/1.09 (443) {G0,W10,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), between_on_line( X, Y
% 0.72/1.09 , Z, T ) }.
% 0.72/1.09 (444) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, T,
% 0.72/1.09 Z ) }.
% 0.72/1.09 (445) {G0,W9,D2,L2,V4,M2} { ! alpha6( X, Y, Z, T ), before_on_line( X, Z,
% 0.72/1.09 Y ) }.
% 0.72/1.09 (446) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, T, Z ), ! before_on_line
% 0.72/1.09 ( X, Z, Y ), alpha6( X, Y, Z, T ) }.
% 0.72/1.09 (447) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Y,
% 0.72/1.09 Z ) }.
% 0.72/1.09 (448) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), before_on_line( X, Z,
% 0.72/1.09 T ) }.
% 0.72/1.09 (449) {G0,W13,D2,L3,V4,M3} { ! before_on_line( X, Y, Z ), ! before_on_line
% 0.72/1.09 ( X, Z, T ), alpha3( X, Y, Z, T ) }.
% 0.72/1.09 (450) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.72/1.09 (451) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.72/1.09 , Z ), distinct_points( Y, Z ) }.
% 0.72/1.09 (452) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.72/1.09 (453) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 0.72/1.09 ), distinct_lines( Y, Z ) }.
% 0.72/1.09 (454) {G0,W3,D2,L1,V1,M1} { equally_directed_lines( X, X ) }.
% 0.72/1.09 (455) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.72/1.09 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.72/1.09 (456) {G0,W13,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 0.72/1.09 unequally_directed_lines( X, reverse_line( Y ) ), alpha7( X, Z ),
% 0.72/1.09 unequally_directed_lines( Y, Z ) }.
% 0.72/1.09 (457) {G0,W14,D3,L4,V3,M4} { ! unequally_directed_lines( X, Y ), !
% 0.72/1.09 unequally_directed_lines( X, reverse_line( Y ) ), alpha7( X, Z ),
% 0.72/1.09 unequally_directed_lines( Y, reverse_line( Z ) ) }.
% 0.72/1.09 (458) {G0,W6,D2,L2,V2,M2} { ! alpha7( X, Y ), unequally_directed_lines( X
% 0.72/1.09 , Y ) }.
% 0.72/1.09 (459) {G0,W7,D3,L2,V2,M2} { ! alpha7( X, Y ), unequally_directed_lines( X
% 0.72/1.09 , reverse_line( Y ) ) }.
% 0.72/1.09 (460) {G0,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.72/1.09 unequally_directed_lines( X, reverse_line( Y ) ), alpha7( X, Y ) }.
% 0.72/1.09 (461) {G0,W7,D3,L2,V2,M2} { unequally_directed_lines( X, Y ),
% 0.72/1.09 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.72/1.09 (462) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y ), !
% 0.72/1.09 unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines(
% 0.72/1.09 X, Y ), left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.72/1.09 (463) {G0,W3,D2,L1,V2,M1} { ! left_apart_point( X, Y ) }.
% 0.72/1.09 (464) {G0,W4,D3,L1,V2,M1} { ! left_apart_point( X, reverse_line( Y ) ) }.
% 0.72/1.09 (465) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 0.72/1.09 (466) {G0,W4,D3,L1,V2,M1} { ! left_convergent_lines( X, reverse_line( Y )
% 0.72/1.09 ) }.
% 0.72/1.09 (467) {G0,W11,D3,L4,V2,M4} { ! point( X ), ! point( Y ), ! distinct_points
% 0.72/1.09 ( X, Y ), line( line_connecting( X, Y ) ) }.
% 0.72/1.09 (468) {G0,W15,D3,L5,V2,M5} { ! line( X ), ! line( Y ), !
% 0.72/1.09 unequally_directed_lines( X, Y ), ! unequally_directed_lines( X,
% 0.72/1.09 reverse_line( Y ) ), point( intersection_point( X, Y ) ) }.
% 0.72/1.09 (469) {G0,W8,D3,L3,V2,M3} { ! point( Y ), ! line( X ), line(
% 0.72/1.09 parallel_through_point( X, Y ) ) }.
% 0.72/1.09 (470) {G0,W5,D3,L2,V1,M2} { ! line( X ), line( reverse_line( X ) ) }.
% 0.72/1.09 (471) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.72/1.09 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.72/1.09 (472) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.72/1.09 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.72/1.09 (473) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.72/1.09 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 0.72/1.09 ( intersection_point( X, Y ), X ) }.
% 0.72/1.09 (474) {G0,W12,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y ), !
% 0.72/1.09 unequally_directed_lines( X, reverse_line( Y ) ), ! apart_point_and_line
% 0.72/1.09 ( intersection_point( X, Y ), Y ) }.
% 0.72/1.09 (475) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 0.72/1.09 parallel_through_point( Y, X ) ) }.
% 0.72/1.09 (476) {G0,W4,D3,L1,V1,M1} { ! distinct_lines( X, reverse_line( X ) ) }.
% 0.72/1.09 (477) {G0,W11,D4,L2,V2,M2} { ! distinct_points( X, Y ),
% 0.72/1.09 equally_directed_lines( line_connecting( X, Y ), reverse_line(
% 0.72/1.09 line_connecting( Y, X ) ) ) }.
% 0.72/1.09 (478) {G0,W5,D3,L1,V2,M1} { equally_directed_lines( parallel_through_point
% 0.72/1.09 ( Y, X ), Y ) }.
% 0.72/1.09 (479) {G0,W34,D3,L10,V4,M10} { ! distinct_points( X, Y ), ! distinct_lines
% 0.72/1.09 ( Z, T ), left_apart_point( X, Z ), left_apart_point( Y, Z ),
% 0.72/1.09 left_apart_point( X, T ), left_apart_point( Y, T ), left_apart_point( X,
% 0.72/1.09 reverse_line( Z ) ), left_apart_point( Y, reverse_line( Z ) ),
% 0.72/1.09 left_apart_point( X, reverse_line( T ) ), left_apart_point( Y,
% 0.72/1.09 reverse_line( T ) ) }.
% 0.72/1.09 (480) {G0,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), ! left_apart_point
% 0.72/1.09 ( X, Z ), left_apart_point( Y, Z ), left_convergent_lines(
% 0.72/1.09 line_connecting( X, Y ), Z ) }.
% 0.72/1.09 (481) {G0,W9,D2,L3,V3,M3} { ! left_apart_point( X, Y ), distinct_points( X
% 0.72/1.09 , Z ), left_apart_point( Z, Y ) }.
% 0.72/1.09 (482) {G0,W13,D3,L4,V3,M4} { ! left_apart_point( X, Y ), !
% 0.72/1.09 unequally_directed_lines( Y, Z ), distinct_lines( Y, Z ),
% 0.72/1.09 left_apart_point( X, reverse_line( Z ) ) }.
% 0.72/1.09 (483) {G0,W9,D2,L3,V3,M3} { ! left_convergent_lines( X, Y ),
% 0.72/1.09 unequally_directed_lines( Y, Z ), left_convergent_lines( X, Z ) }.
% 0.72/1.09 (484) {G0,W6,D2,L2,V0,M2} { alpha8( skol1, skol2 ),
% 0.72/1.09 unequally_directed_opposite_lines( skol2, skol1 ) }.
% 0.72/1.09 (485) {G0,W6,D2,L2,V0,M2} { alpha8( skol1, skol2 ), !
% 0.72/1.09 unequally_directed_opposite_lines( skol1, skol2 ) }.
% 0.72/1.09 (486) {G0,W6,D2,L2,V2,M2} { ! alpha8( X, Y ),
% 0.72/1.09 unequally_directed_opposite_lines( X, Y ) }.
% 0.72/1.09 (487) {G0,W6,D2,L2,V2,M2} { ! alpha8( X, Y ), !
% 0.72/1.09 unequally_directed_opposite_lines( Y, X ) }.
% 0.72/1.09 (488) {G0,W9,D2,L3,V2,M3} { ! unequally_directed_opposite_lines( X, Y ),
% 0.72/1.09 unequally_directed_opposite_lines( Y, X ), alpha8( X, Y ) }.
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Total Proof:
% 0.72/1.09
% 0.72/1.09 subsumption: (0) {G0,W7,D3,L2,V2,M1} I { !
% 0.72/1.09 unequally_directed_opposite_lines( X, Y ), unequally_directed_lines( X,
% 0.72/1.09 reverse_line( Y ) ) }.
% 0.72/1.09 parent0: (407) {G0,W7,D3,L2,V2,M2} { ! unequally_directed_opposite_lines(
% 0.72/1.09 X, Y ), unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 1 ==> 1
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (1) {G0,W7,D3,L2,V2,M1} I { unequally_directed_opposite_lines
% 0.72/1.09 ( X, Y ), ! unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.72/1.09 parent0: (408) {G0,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X,
% 0.72/1.09 reverse_line( Y ) ), unequally_directed_opposite_lines( X, Y ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 1
% 0.72/1.09 1 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (6) {G0,W6,D2,L2,V2,M1} I { ! unequally_directed_lines( X, Y )
% 0.72/1.09 , ! equally_directed_lines( X, Y ) }.
% 0.72/1.09 parent0: (413) {G0,W6,D2,L2,V2,M2} { ! equally_directed_lines( X, Y ), !
% 0.72/1.09 unequally_directed_lines( X, Y ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 1
% 0.72/1.09 1 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (47) {G0,W3,D2,L1,V1,M1} I { equally_directed_lines( X, X )
% 0.72/1.09 }.
% 0.72/1.09 parent0: (454) {G0,W3,D2,L1,V1,M1} { equally_directed_lines( X, X ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (48) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z )
% 0.72/1.09 , unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y )
% 0.72/1.09 }.
% 0.72/1.09 parent0: (455) {G0,W9,D2,L3,V3,M3} { ! unequally_directed_lines( X, Y ),
% 0.72/1.09 unequally_directed_lines( X, Z ), unequally_directed_lines( Y, Z ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 Z := Z
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 2
% 0.72/1.09 1 ==> 0
% 0.72/1.09 2 ==> 1
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (54) {G0,W7,D3,L2,V2,M2} I { unequally_directed_lines( X,
% 0.72/1.09 reverse_line( Y ) ), unequally_directed_lines( X, Y ) }.
% 0.72/1.09 parent0: (461) {G0,W7,D3,L2,V2,M2} { unequally_directed_lines( X, Y ),
% 0.72/1.09 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 1
% 0.72/1.09 1 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (55) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y
% 0.72/1.09 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.72/1.09 left_convergent_lines( X, reverse_line( Y ) ), left_convergent_lines( X,
% 0.72/1.09 Y ) }.
% 0.72/1.09 parent0: (462) {G0,W14,D3,L4,V2,M4} { ! unequally_directed_lines( X, Y ),
% 0.72/1.09 ! unequally_directed_lines( X, reverse_line( Y ) ), left_convergent_lines
% 0.72/1.09 ( X, Y ), left_convergent_lines( X, reverse_line( Y ) ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 1 ==> 1
% 0.72/1.09 2 ==> 3
% 0.72/1.09 3 ==> 2
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (57) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.72/1.09 }.
% 0.72/1.09 parent0: (465) {G0,W3,D2,L1,V2,M1} { ! left_convergent_lines( X, Y ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (71) {G0,W6,D2,L2,V0,M1} I { unequally_directed_opposite_lines
% 0.72/1.09 ( skol2, skol1 ), alpha8( skol1, skol2 ) }.
% 0.72/1.09 parent0: (484) {G0,W6,D2,L2,V0,M2} { alpha8( skol1, skol2 ),
% 0.72/1.09 unequally_directed_opposite_lines( skol2, skol1 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 1
% 0.72/1.09 1 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (72) {G0,W6,D2,L2,V0,M1} I { !
% 0.72/1.09 unequally_directed_opposite_lines( skol1, skol2 ), alpha8( skol1, skol2 )
% 0.72/1.09 }.
% 0.72/1.09 parent0: (485) {G0,W6,D2,L2,V0,M2} { alpha8( skol1, skol2 ), !
% 0.72/1.09 unequally_directed_opposite_lines( skol1, skol2 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 1
% 0.72/1.09 1 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (73) {G0,W6,D2,L2,V2,M1} I { unequally_directed_opposite_lines
% 0.72/1.09 ( X, Y ), ! alpha8( X, Y ) }.
% 0.72/1.09 parent0: (486) {G0,W6,D2,L2,V2,M2} { ! alpha8( X, Y ),
% 0.72/1.09 unequally_directed_opposite_lines( X, Y ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 1
% 0.72/1.09 1 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (74) {G0,W6,D2,L2,V2,M1} I { !
% 0.72/1.09 unequally_directed_opposite_lines( Y, X ), ! alpha8( X, Y ) }.
% 0.72/1.09 parent0: (487) {G0,W6,D2,L2,V2,M2} { ! alpha8( X, Y ), !
% 0.72/1.09 unequally_directed_opposite_lines( Y, X ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 1
% 0.72/1.09 1 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (645) {G1,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, X )
% 0.72/1.09 }.
% 0.72/1.09 parent0[1]: (6) {G0,W6,D2,L2,V2,M1} I { ! unequally_directed_lines( X, Y )
% 0.72/1.09 , ! equally_directed_lines( X, Y ) }.
% 0.72/1.09 parent1[0]: (47) {G0,W3,D2,L1,V1,M1} I { equally_directed_lines( X, X ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := X
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (87) {G1,W3,D2,L1,V1,M1} R(6,47) { ! unequally_directed_lines
% 0.72/1.09 ( X, X ) }.
% 0.72/1.09 parent0: (645) {G1,W3,D2,L1,V1,M1} { ! unequally_directed_lines( X, X )
% 0.72/1.09 }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (646) {G1,W6,D2,L2,V0,M2} { !
% 0.72/1.09 unequally_directed_opposite_lines( skol2, skol1 ), !
% 0.72/1.09 unequally_directed_opposite_lines( skol1, skol2 ) }.
% 0.72/1.09 parent0[1]: (74) {G0,W6,D2,L2,V2,M1} I { !
% 0.72/1.09 unequally_directed_opposite_lines( Y, X ), ! alpha8( X, Y ) }.
% 0.72/1.09 parent1[1]: (72) {G0,W6,D2,L2,V0,M1} I { !
% 0.72/1.09 unequally_directed_opposite_lines( skol1, skol2 ), alpha8( skol1, skol2 )
% 0.72/1.09 }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := skol1
% 0.72/1.09 Y := skol2
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (90) {G1,W6,D2,L2,V0,M1} R(72,74) { !
% 0.72/1.09 unequally_directed_opposite_lines( skol2, skol1 ), !
% 0.72/1.09 unequally_directed_opposite_lines( skol1, skol2 ) }.
% 0.72/1.09 parent0: (646) {G1,W6,D2,L2,V0,M2} { ! unequally_directed_opposite_lines(
% 0.72/1.09 skol2, skol1 ), ! unequally_directed_opposite_lines( skol1, skol2 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 1 ==> 1
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (647) {G1,W6,D2,L2,V0,M2} { unequally_directed_opposite_lines
% 0.72/1.09 ( skol1, skol2 ), unequally_directed_opposite_lines( skol2, skol1 ) }.
% 0.72/1.09 parent0[1]: (73) {G0,W6,D2,L2,V2,M1} I { unequally_directed_opposite_lines
% 0.72/1.09 ( X, Y ), ! alpha8( X, Y ) }.
% 0.72/1.09 parent1[1]: (71) {G0,W6,D2,L2,V0,M1} I { unequally_directed_opposite_lines
% 0.72/1.09 ( skol2, skol1 ), alpha8( skol1, skol2 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := skol1
% 0.72/1.09 Y := skol2
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (92) {G1,W6,D2,L2,V0,M1} R(71,73) {
% 0.72/1.09 unequally_directed_opposite_lines( skol2, skol1 ),
% 0.72/1.09 unequally_directed_opposite_lines( skol1, skol2 ) }.
% 0.72/1.09 parent0: (647) {G1,W6,D2,L2,V0,M2} { unequally_directed_opposite_lines(
% 0.72/1.09 skol1, skol2 ), unequally_directed_opposite_lines( skol2, skol1 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 1
% 0.72/1.09 1 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (648) {G1,W6,D2,L2,V2,M2} { unequally_directed_opposite_lines
% 0.72/1.09 ( X, Y ), unequally_directed_lines( X, Y ) }.
% 0.72/1.09 parent0[1]: (1) {G0,W7,D3,L2,V2,M1} I { unequally_directed_opposite_lines(
% 0.72/1.09 X, Y ), ! unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.72/1.09 parent1[0]: (54) {G0,W7,D3,L2,V2,M2} I { unequally_directed_lines( X,
% 0.72/1.09 reverse_line( Y ) ), unequally_directed_lines( X, Y ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (102) {G1,W6,D2,L2,V2,M1} R(54,1) {
% 0.72/1.09 unequally_directed_opposite_lines( X, Y ), unequally_directed_lines( X, Y
% 0.72/1.09 ) }.
% 0.72/1.09 parent0: (648) {G1,W6,D2,L2,V2,M2} { unequally_directed_opposite_lines( X
% 0.72/1.09 , Y ), unequally_directed_lines( X, Y ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 1 ==> 1
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (650) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X ),
% 0.72/1.09 ! unequally_directed_lines( X, Y ) }.
% 0.72/1.09 parent0[0]: (87) {G1,W3,D2,L1,V1,M1} R(6,47) { ! unequally_directed_lines(
% 0.72/1.09 X, X ) }.
% 0.72/1.09 parent1[0]: (48) {G0,W9,D2,L3,V3,M3} I { unequally_directed_lines( X, Z ),
% 0.72/1.09 unequally_directed_lines( Y, Z ), ! unequally_directed_lines( X, Y ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 Z := X
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (139) {G2,W6,D2,L2,V2,M2} R(48,87) { !
% 0.72/1.09 unequally_directed_lines( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.72/1.09 parent0: (650) {G1,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X ), !
% 0.72/1.09 unequally_directed_lines( X, Y ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := Y
% 0.72/1.09 Y := X
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 1
% 0.72/1.09 1 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (652) {G2,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X ),
% 0.72/1.09 unequally_directed_opposite_lines( X, Y ) }.
% 0.72/1.09 parent0[0]: (139) {G2,W6,D2,L2,V2,M2} R(48,87) { ! unequally_directed_lines
% 0.72/1.09 ( Y, X ), unequally_directed_lines( X, Y ) }.
% 0.72/1.09 parent1[1]: (102) {G1,W6,D2,L2,V2,M1} R(54,1) {
% 0.72/1.09 unequally_directed_opposite_lines( X, Y ), unequally_directed_lines( X, Y
% 0.72/1.09 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := Y
% 0.72/1.09 Y := X
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (148) {G3,W6,D2,L2,V2,M1} R(139,102) {
% 0.72/1.09 unequally_directed_opposite_lines( Y, X ), unequally_directed_lines( X, Y
% 0.72/1.09 ) }.
% 0.72/1.09 parent0: (652) {G2,W6,D2,L2,V2,M2} { unequally_directed_lines( Y, X ),
% 0.72/1.09 unequally_directed_opposite_lines( X, Y ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := Y
% 0.72/1.09 Y := X
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 1
% 0.72/1.09 1 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (653) {G1,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y
% 0.72/1.09 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.72/1.09 left_convergent_lines( X, Y ) }.
% 0.72/1.09 parent0[0]: (57) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.72/1.09 }.
% 0.72/1.09 parent1[2]: (55) {G0,W14,D3,L4,V2,M2} I { ! unequally_directed_lines( X, Y
% 0.72/1.09 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.72/1.09 left_convergent_lines( X, reverse_line( Y ) ), left_convergent_lines( X,
% 0.72/1.09 Y ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := reverse_line( Y )
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (655) {G1,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, Y )
% 0.72/1.09 , ! unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.72/1.09 parent0[0]: (57) {G0,W3,D2,L1,V2,M1} I { ! left_convergent_lines( X, Y )
% 0.72/1.09 }.
% 0.72/1.09 parent1[2]: (653) {G1,W10,D3,L3,V2,M3} { ! unequally_directed_lines( X, Y
% 0.72/1.09 ), ! unequally_directed_lines( X, reverse_line( Y ) ),
% 0.72/1.09 left_convergent_lines( X, Y ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (315) {G1,W7,D3,L2,V2,M2} S(55);r(57);r(57) { !
% 0.72/1.09 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.72/1.09 unequally_directed_lines( X, Y ) }.
% 0.72/1.09 parent0: (655) {G1,W7,D3,L2,V2,M2} { ! unequally_directed_lines( X, Y ), !
% 0.72/1.09 unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 1
% 0.72/1.09 1 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (656) {G1,W6,D2,L2,V2,M2} { ! unequally_directed_lines( X, Y )
% 0.72/1.09 , ! unequally_directed_opposite_lines( X, Y ) }.
% 0.72/1.09 parent0[0]: (315) {G1,W7,D3,L2,V2,M2} S(55);r(57);r(57) { !
% 0.72/1.09 unequally_directed_lines( X, reverse_line( Y ) ), !
% 0.72/1.09 unequally_directed_lines( X, Y ) }.
% 0.72/1.09 parent1[1]: (0) {G0,W7,D3,L2,V2,M1} I { ! unequally_directed_opposite_lines
% 0.72/1.09 ( X, Y ), unequally_directed_lines( X, reverse_line( Y ) ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (359) {G2,W6,D2,L2,V2,M1} R(315,0) { !
% 0.72/1.09 unequally_directed_opposite_lines( X, Y ), ! unequally_directed_lines( X
% 0.72/1.09 , Y ) }.
% 0.72/1.09 parent0: (656) {G1,W6,D2,L2,V2,M2} { ! unequally_directed_lines( X, Y ), !
% 0.72/1.09 unequally_directed_opposite_lines( X, Y ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 1
% 0.72/1.09 1 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (659) {G3,W6,D2,L2,V2,M2} { !
% 0.72/1.09 unequally_directed_opposite_lines( X, Y ),
% 0.72/1.09 unequally_directed_opposite_lines( Y, X ) }.
% 0.72/1.09 parent0[1]: (359) {G2,W6,D2,L2,V2,M1} R(315,0) { !
% 0.72/1.09 unequally_directed_opposite_lines( X, Y ), ! unequally_directed_lines( X
% 0.72/1.09 , Y ) }.
% 0.72/1.09 parent1[1]: (148) {G3,W6,D2,L2,V2,M1} R(139,102) {
% 0.72/1.09 unequally_directed_opposite_lines( Y, X ), unequally_directed_lines( X, Y
% 0.72/1.09 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (391) {G4,W6,D2,L2,V2,M2} R(359,148) {
% 0.72/1.09 unequally_directed_opposite_lines( Y, X ), !
% 0.72/1.09 unequally_directed_opposite_lines( X, Y ) }.
% 0.72/1.09 parent0: (659) {G3,W6,D2,L2,V2,M2} { ! unequally_directed_opposite_lines(
% 0.72/1.09 X, Y ), unequally_directed_opposite_lines( Y, X ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := X
% 0.72/1.09 Y := Y
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 1
% 0.72/1.09 1 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (661) {G2,W6,D2,L2,V0,M2} { unequally_directed_opposite_lines
% 0.72/1.09 ( skol2, skol1 ), unequally_directed_opposite_lines( skol2, skol1 ) }.
% 0.72/1.09 parent0[1]: (391) {G4,W6,D2,L2,V2,M2} R(359,148) {
% 0.72/1.09 unequally_directed_opposite_lines( Y, X ), !
% 0.72/1.09 unequally_directed_opposite_lines( X, Y ) }.
% 0.72/1.09 parent1[1]: (92) {G1,W6,D2,L2,V0,M1} R(71,73) {
% 0.72/1.09 unequally_directed_opposite_lines( skol2, skol1 ),
% 0.72/1.09 unequally_directed_opposite_lines( skol1, skol2 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 X := skol1
% 0.72/1.09 Y := skol2
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 factor: (662) {G2,W3,D2,L1,V0,M1} { unequally_directed_opposite_lines(
% 0.72/1.09 skol2, skol1 ) }.
% 0.72/1.09 parent0[0, 1]: (661) {G2,W6,D2,L2,V0,M2} {
% 0.72/1.09 unequally_directed_opposite_lines( skol2, skol1 ),
% 0.72/1.09 unequally_directed_opposite_lines( skol2, skol1 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (404) {G5,W3,D2,L1,V0,M1} R(391,92);f {
% 0.72/1.09 unequally_directed_opposite_lines( skol2, skol1 ) }.
% 0.72/1.09 parent0: (662) {G2,W3,D2,L1,V0,M1} { unequally_directed_opposite_lines(
% 0.72/1.09 skol2, skol1 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 0 ==> 0
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (665) {G2,W6,D2,L2,V0,M2} { !
% 0.72/1.09 unequally_directed_opposite_lines( skol2, skol1 ), !
% 0.72/1.09 unequally_directed_opposite_lines( skol2, skol1 ) }.
% 0.72/1.09 parent0[1]: (90) {G1,W6,D2,L2,V0,M1} R(72,74) { !
% 0.72/1.09 unequally_directed_opposite_lines( skol2, skol1 ), !
% 0.72/1.09 unequally_directed_opposite_lines( skol1, skol2 ) }.
% 0.72/1.09 parent1[0]: (391) {G4,W6,D2,L2,V2,M2} R(359,148) {
% 0.72/1.09 unequally_directed_opposite_lines( Y, X ), !
% 0.72/1.09 unequally_directed_opposite_lines( X, Y ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 X := skol2
% 0.72/1.09 Y := skol1
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 factor: (666) {G2,W3,D2,L1,V0,M1} { ! unequally_directed_opposite_lines(
% 0.72/1.09 skol2, skol1 ) }.
% 0.72/1.09 parent0[0, 1]: (665) {G2,W6,D2,L2,V0,M2} { !
% 0.72/1.09 unequally_directed_opposite_lines( skol2, skol1 ), !
% 0.72/1.09 unequally_directed_opposite_lines( skol2, skol1 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 resolution: (669) {G3,W0,D0,L0,V0,M0} { }.
% 0.72/1.09 parent0[0]: (666) {G2,W3,D2,L1,V0,M1} { !
% 0.72/1.09 unequally_directed_opposite_lines( skol2, skol1 ) }.
% 0.72/1.09 parent1[0]: (404) {G5,W3,D2,L1,V0,M1} R(391,92);f {
% 0.72/1.09 unequally_directed_opposite_lines( skol2, skol1 ) }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 substitution1:
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 subsumption: (405) {G6,W0,D0,L0,V0,M0} R(391,90);f;r(404) { }.
% 0.72/1.09 parent0: (669) {G3,W0,D0,L0,V0,M0} { }.
% 0.72/1.09 substitution0:
% 0.72/1.09 end
% 0.72/1.09 permutation0:
% 0.72/1.09 end
% 0.72/1.09
% 0.72/1.09 Proof check complete!
% 0.72/1.09
% 0.72/1.09 Memory use:
% 0.72/1.09
% 0.72/1.09 space for terms: 5453
% 0.72/1.09 space for clauses: 21061
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 clauses generated: 1001
% 0.72/1.09 clauses kept: 406
% 0.72/1.09 clauses selected: 134
% 0.72/1.09 clauses deleted: 20
% 0.72/1.09 clauses inuse deleted: 0
% 0.72/1.09
% 0.72/1.09 subsentry: 4629
% 0.72/1.09 literals s-matched: 2642
% 0.72/1.09 literals matched: 2442
% 0.72/1.09 full subsumption: 690
% 0.72/1.09
% 0.72/1.09 checksum: -1389571640
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Bliksem ended
%------------------------------------------------------------------------------