TSTP Solution File: GEO173+3 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO173+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 02:52:14 EDT 2022
% Result : Theorem 4.62s 4.97s
% Output : Refutation 4.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO173+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jun 18 10:31:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.65/2.03 *** allocated 10000 integers for termspace/termends
% 1.65/2.03 *** allocated 10000 integers for clauses
% 1.65/2.03 *** allocated 10000 integers for justifications
% 1.65/2.03 Bliksem 1.12
% 1.65/2.03
% 1.65/2.03
% 1.65/2.03 Automatic Strategy Selection
% 1.65/2.03
% 1.65/2.03
% 1.65/2.03 Clauses:
% 1.65/2.03
% 1.65/2.03 { ! distinct_points( X, X ) }.
% 1.65/2.03 { ! distinct_lines( X, X ) }.
% 1.65/2.03 { ! convergent_lines( X, X ) }.
% 1.65/2.03 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 1.65/2.03 ) }.
% 1.65/2.03 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 1.65/2.03 }.
% 1.65/2.03 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 1.65/2.03 , Z ) }.
% 1.65/2.03 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 1.65/2.03 , Y ) ) }.
% 1.65/2.03 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 1.65/2.03 , Y ) ) }.
% 1.65/2.03 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 1.65/2.03 , Y ), X ) }.
% 1.65/2.03 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 1.65/2.03 , Y ), Y ) }.
% 1.65/2.03 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 1.65/2.03 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.65/2.03 apart_point_and_line( Y, T ) }.
% 1.65/2.03 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 1.65/2.03 apart_point_and_line( Z, Y ) }.
% 1.65/2.03 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 1.65/2.03 apart_point_and_line( X, Z ) }.
% 1.65/2.03 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 1.65/2.03 Z ) }.
% 1.65/2.03 { ! distinct_lines( X, Y ), convergent_lines( X, Y ) }.
% 1.65/2.03 { ! convergent_lines( parallel_through_point( Y, X ), Y ) }.
% 1.65/2.03 { ! apart_point_and_line( X, parallel_through_point( Y, X ) ) }.
% 1.65/2.03 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 1.65/2.03 apart_point_and_line( Z, Y ), convergent_lines( X, Y ) }.
% 1.65/2.03 { convergent_lines( X, Y ), unorthogonal_lines( X, Y ) }.
% 1.65/2.03 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Z )
% 1.65/2.03 , convergent_lines( Y, Z ) }.
% 1.65/2.03 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Z )
% 1.65/2.03 , unorthogonal_lines( Y, Z ) }.
% 1.65/2.03 { ! alpha1( X, Y ), convergent_lines( X, Y ) }.
% 1.65/2.03 { ! alpha1( X, Y ), unorthogonal_lines( X, Y ) }.
% 1.65/2.03 { ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ), alpha1( X, Y )
% 1.65/2.04 }.
% 1.65/2.04 { ! unorthogonal_lines( orthogonal_through_point( Y, X ), Y ) }.
% 1.65/2.04 { ! apart_point_and_line( X, orthogonal_through_point( Y, X ) ) }.
% 1.65/2.04 { ! distinct_lines( X, Y ), apart_point_and_line( Z, X ),
% 1.65/2.04 apart_point_and_line( Z, Y ), unorthogonal_lines( X, T ),
% 1.65/2.04 unorthogonal_lines( Y, T ) }.
% 1.65/2.04 { convergent_lines( X, Y ), unorthogonal_lines( X, Y ) }.
% 1.65/2.04 { alpha2( X, Z ), convergent_lines( Z, Y ), ! convergent_lines( X, Y ), !
% 1.65/2.04 unorthogonal_lines( X, Y ) }.
% 1.65/2.04 { alpha2( X, Z ), unorthogonal_lines( Z, Y ), ! convergent_lines( X, Y ), !
% 1.65/2.04 unorthogonal_lines( X, Y ) }.
% 1.65/2.04 { ! alpha2( X, Y ), convergent_lines( Y, X ) }.
% 1.65/2.04 { ! alpha2( X, Y ), unorthogonal_lines( Y, X ) }.
% 1.65/2.04 { ! convergent_lines( Y, X ), ! unorthogonal_lines( Y, X ), alpha2( X, Y )
% 1.65/2.04 }.
% 1.65/2.04 { unorthogonal_lines( Z, X ), unorthogonal_lines( Z, Y ), !
% 1.65/2.04 convergent_lines( X, Y ) }.
% 1.65/2.04 { ! point( X ), ! point( Y ), ! distinct_points( X, Y ), line(
% 1.65/2.04 line_connecting( X, Y ) ) }.
% 1.65/2.04 { ! line( X ), ! line( Y ), ! convergent_lines( X, Y ), point(
% 1.65/2.04 intersection_point( X, Y ) ) }.
% 1.65/2.04 { ! line( X ), ! point( Y ), line( parallel_through_point( X, Y ) ) }.
% 1.65/2.04 { ! line( X ), ! point( Y ), line( orthogonal_through_point( X, Y ) ) }.
% 1.65/2.04 { ! equal_points( X, Y ), ! distinct_points( X, Y ) }.
% 1.65/2.04 { distinct_points( X, Y ), equal_points( X, Y ) }.
% 1.65/2.04 { ! equal_lines( X, Y ), ! distinct_lines( X, Y ) }.
% 1.65/2.04 { distinct_lines( X, Y ), equal_lines( X, Y ) }.
% 1.65/2.04 { ! parallel_lines( X, Y ), ! convergent_lines( X, Y ) }.
% 1.65/2.04 { convergent_lines( X, Y ), parallel_lines( X, Y ) }.
% 1.65/2.04 { ! incident_point_and_line( X, Y ), ! apart_point_and_line( X, Y ) }.
% 1.65/2.04 { apart_point_and_line( X, Y ), incident_point_and_line( X, Y ) }.
% 1.65/2.04 { ! orthogonal_lines( X, Y ), ! unorthogonal_lines( X, Y ) }.
% 1.65/2.04 { unorthogonal_lines( X, Y ), orthogonal_lines( X, Y ) }.
% 1.65/2.04 { distinct_points( skol1, skol2 ) }.
% 1.65/2.04 { convergent_lines( skol3, skol4 ) }.
% 1.65/2.04 { distinct_lines( skol3, line_connecting( skol1, skol2 ) ) }.
% 1.65/2.04 { ! apart_point_and_line( skol1, skol3 ) }.
% 1.65/2.04 { ! apart_point_and_line( skol2, skol3 ) }.
% 1.65/2.04
% 1.65/2.04 percentage equality = 0.000000, percentage horn = 0.627451
% 4.62/4.97 This a non-horn, non-equality problem
% 4.62/4.97
% 4.62/4.97
% 4.62/4.97 Options Used:
% 4.62/4.97
% 4.62/4.97 useres = 1
% 4.62/4.97 useparamod = 0
% 4.62/4.97 useeqrefl = 0
% 4.62/4.97 useeqfact = 0
% 4.62/4.97 usefactor = 1
% 4.62/4.97 usesimpsplitting = 0
% 4.62/4.97 usesimpdemod = 0
% 4.62/4.97 usesimpres = 3
% 4.62/4.97
% 4.62/4.97 resimpinuse = 1000
% 4.62/4.97 resimpclauses = 20000
% 4.62/4.97 substype = standard
% 4.62/4.97 backwardsubs = 1
% 4.62/4.97 selectoldest = 5
% 4.62/4.97
% 4.62/4.97 litorderings [0] = split
% 4.62/4.97 litorderings [1] = liftord
% 4.62/4.97
% 4.62/4.97 termordering = none
% 4.62/4.97
% 4.62/4.97 litapriori = 1
% 4.62/4.97 termapriori = 0
% 4.62/4.97 litaposteriori = 0
% 4.62/4.97 termaposteriori = 0
% 4.62/4.97 demodaposteriori = 0
% 4.62/4.97 ordereqreflfact = 0
% 4.62/4.97
% 4.62/4.97 litselect = none
% 4.62/4.97
% 4.62/4.97 maxweight = 15
% 4.62/4.97 maxdepth = 30000
% 4.62/4.97 maxlength = 115
% 4.62/4.97 maxnrvars = 195
% 4.62/4.97 excuselevel = 1
% 4.62/4.97 increasemaxweight = 1
% 4.62/4.97
% 4.62/4.97 maxselected = 10000000
% 4.62/4.97 maxnrclauses = 10000000
% 4.62/4.97
% 4.62/4.97 showgenerated = 0
% 4.62/4.97 showkept = 0
% 4.62/4.97 showselected = 0
% 4.62/4.97 showdeleted = 0
% 4.62/4.97 showresimp = 1
% 4.62/4.97 showstatus = 2000
% 4.62/4.97
% 4.62/4.97 prologoutput = 0
% 4.62/4.97 nrgoals = 5000000
% 4.62/4.97 totalproof = 1
% 4.62/4.97
% 4.62/4.97 Symbols occurring in the translation:
% 4.62/4.97
% 4.62/4.97 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.62/4.97 . [1, 2] (w:1, o:27, a:1, s:1, b:0),
% 4.62/4.97 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 4.62/4.97 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.62/4.97 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.62/4.97 distinct_points [36, 2] (w:1, o:52, a:1, s:1, b:0),
% 4.62/4.97 distinct_lines [37, 2] (w:1, o:53, a:1, s:1, b:0),
% 4.62/4.97 convergent_lines [38, 2] (w:1, o:51, a:1, s:1, b:0),
% 4.62/4.97 line_connecting [41, 2] (w:1, o:54, a:1, s:1, b:0),
% 4.62/4.97 apart_point_and_line [42, 2] (w:1, o:55, a:1, s:1, b:0),
% 4.62/4.97 intersection_point [43, 2] (w:1, o:56, a:1, s:1, b:0),
% 4.62/4.97 parallel_through_point [46, 2] (w:1, o:59, a:1, s:1, b:0),
% 4.62/4.97 unorthogonal_lines [49, 2] (w:1, o:60, a:1, s:1, b:0),
% 4.62/4.97 orthogonal_through_point [52, 2] (w:1, o:57, a:1, s:1, b:0),
% 4.62/4.97 point [54, 1] (w:1, o:25, a:1, s:1, b:0),
% 4.62/4.97 line [55, 1] (w:1, o:26, a:1, s:1, b:0),
% 4.62/4.97 equal_points [56, 2] (w:1, o:61, a:1, s:1, b:0),
% 4.62/4.97 equal_lines [57, 2] (w:1, o:62, a:1, s:1, b:0),
% 4.62/4.97 parallel_lines [58, 2] (w:1, o:63, a:1, s:1, b:0),
% 4.62/4.97 incident_point_and_line [59, 2] (w:1, o:64, a:1, s:1, b:0),
% 4.62/4.97 orthogonal_lines [60, 2] (w:1, o:58, a:1, s:1, b:0),
% 4.62/4.97 alpha1 [61, 2] (w:1, o:65, a:1, s:1, b:0),
% 4.62/4.97 alpha2 [62, 2] (w:1, o:66, a:1, s:1, b:0),
% 4.62/4.97 skol1 [63, 0] (w:1, o:16, a:1, s:1, b:0),
% 4.62/4.97 skol2 [64, 0] (w:1, o:17, a:1, s:1, b:0),
% 4.62/4.97 skol3 [65, 0] (w:1, o:18, a:1, s:1, b:0),
% 4.62/4.97 skol4 [66, 0] (w:1, o:19, a:1, s:1, b:0).
% 4.62/4.97
% 4.62/4.97
% 4.62/4.97 Starting Search:
% 4.62/4.97
% 4.62/4.97 *** allocated 15000 integers for clauses
% 4.62/4.97 *** allocated 22500 integers for clauses
% 4.62/4.97 *** allocated 33750 integers for clauses
% 4.62/4.97 *** allocated 15000 integers for termspace/termends
% 4.62/4.97 *** allocated 50625 integers for clauses
% 4.62/4.97 Resimplifying inuse:
% 4.62/4.97 Done
% 4.62/4.97
% 4.62/4.97 *** allocated 22500 integers for termspace/termends
% 4.62/4.97 *** allocated 75937 integers for clauses
% 4.62/4.97 *** allocated 33750 integers for termspace/termends
% 4.62/4.97 *** allocated 113905 integers for clauses
% 4.62/4.97
% 4.62/4.97 Intermediate Status:
% 4.62/4.97 Generated: 14060
% 4.62/4.97 Kept: 2002
% 4.62/4.97 Inuse: 348
% 4.62/4.97 Deleted: 2
% 4.62/4.97 Deletedinuse: 1
% 4.62/4.97
% 4.62/4.97 Resimplifying inuse:
% 4.62/4.97 Done
% 4.62/4.97
% 4.62/4.97 *** allocated 50625 integers for termspace/termends
% 4.62/4.97 *** allocated 170857 integers for clauses
% 4.62/4.97 Resimplifying inuse:
% 4.62/4.97 Done
% 4.62/4.97
% 4.62/4.97 *** allocated 75937 integers for termspace/termends
% 4.62/4.97 *** allocated 256285 integers for clauses
% 4.62/4.97
% 4.62/4.97 Intermediate Status:
% 4.62/4.97 Generated: 29862
% 4.62/4.97 Kept: 4086
% 4.62/4.97 Inuse: 545
% 4.62/4.97 Deleted: 5
% 4.62/4.97 Deletedinuse: 1
% 4.62/4.97
% 4.62/4.97 Resimplifying inuse:
% 4.62/4.97 Done
% 4.62/4.97
% 4.62/4.97 Resimplifying inuse:
% 4.62/4.97 Done
% 4.62/4.97
% 4.62/4.97 *** allocated 113905 integers for termspace/termends
% 4.62/4.97 *** allocated 384427 integers for clauses
% 4.62/4.97
% 4.62/4.97 Intermediate Status:
% 4.62/4.97 Generated: 37966
% 4.62/4.97 Kept: 6173
% 4.62/4.97 Inuse: 591
% 4.62/4.97 Deleted: 6
% 4.62/4.97 Deletedinuse: 2
% 4.62/4.97
% 4.62/4.97 Resimplifying inuse:
% 4.62/4.97 Done
% 4.62/4.97
% 4.62/4.97 Resimplifying inuse:
% 4.62/4.97 Done
% 4.62/4.97
% 4.62/4.97 *** allocated 170857 integers for termspace/termends
% 4.62/4.97
% 4.62/4.97 Intermediate Status:
% 4.62/4.97 Generated: 58357
% 4.62/4.97 Kept: 8176
% 4.62/4.97 Inuse: 680
% 4.62/4.97 Deleted: 6
% 4.62/4.97 Deletedinuse: 2
% 4.62/4.97
% 4.62/4.97 Resimplifying inuse:
% 4.62/4.97 Done
% 4.62/4.97
% 4.62/4.97 Resimplifying inuse:
% 4.62/4.97 Done
% 4.62/4.97
% 4.62/4.97 *** allocated 576640 integers for clauses
% 4.62/4.97
% 4.62/4.97 Intermediate Status:
% 4.62/4.97 Generated: 87879
% 4.62/4.97 Kept: 10177
% 4.62/4.97 Inuse: 896
% 4.62/4.97 Deleted: 6
% 4.62/4.97 Deletedinuse: 2
% 4.62/4.97
% 4.62/4.97 Resimplifying inuse:
% 4.62/4.97 Done
% 4.62/4.97
% 4.62/4.97 Resimplifying inuse:
% 4.62/4.97 Done
% 4.62/4.97
% 4.62/4.97 *** allocated 256285 integers for termspace/termends
% 4.62/4.97
% 4.62/4.97 Intermediate Status:
% 4.62/4.97 Generated: 101672
% 4.62/4.97 Kept: 12183
% 4.62/4.97 Inuse: 989
% 4.62/4.97 Deleted: 8
% 4.62/4.97 Deletedinuse: 2
% 4.62/4.97
% 4.62/4.97 Resimplifying inuse:
% 4.62/4.97 Done
% 4.62/4.97
% 4.62/4.97 Resimplifying inuse:
% 4.62/4.97 Done
% 4.62/4.97
% 4.62/4.97
% 4.62/4.97 Intermediate Status:
% 4.62/4.97 Generated: 132272
% 4.62/4.97 Kept: 14209
% 4.62/4.97 Inuse: 1157
% 4.62/4.97 Deleted: 8
% 4.62/4.97 Deletedinuse: 2
% 4.62/4.97
% 4.62/4.97 *** allocated 864960 integers for clauses
% 4.62/4.97 Resimplifying inuse:
% 4.62/4.97 Done
% 4.62/4.97
% 4.62/4.97 Resimplifying inuse:
% 4.62/4.97 Done
% 4.62/4.97
% 4.62/4.97
% 4.62/4.97 Bliksems!, er is een bewijs:
% 4.62/4.97 % SZS status Theorem
% 4.62/4.97 % SZS output start Refutation
% 4.62/4.97
% 4.62/4.97 (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 4.62/4.97 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 4.62/4.97 (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 4.62/4.97 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 4.62/4.97 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 4.62/4.97 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 4.62/4.97 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 4.62/4.97 (46) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 ) }.
% 4.62/4.97 (48) {G0,W5,D3,L1,V0,M1} I { distinct_lines( skol3, line_connecting( skol1
% 4.62/4.97 , skol2 ) ) }.
% 4.62/4.97 (49) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1, skol3 ) }.
% 4.62/4.97 (50) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol2, skol3 ) }.
% 4.62/4.97 (90) {G1,W22,D3,L6,V4,M3} R(10,6) { ! distinct_points( X, Y ), !
% 4.62/4.97 distinct_lines( Z, line_connecting( X, T ) ), ! distinct_points( X, T ),
% 4.62/4.97 apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ),
% 4.62/4.97 apart_point_and_line( Y, line_connecting( X, T ) ) }.
% 4.62/4.97 (111) {G2,W14,D3,L4,V3,M2} F(90);r(7) { ! distinct_points( X, Y ), !
% 4.62/4.97 distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line( Y, Z
% 4.62/4.97 ), apart_point_and_line( X, Z ) }.
% 4.62/4.97 (2043) {G3,W11,D3,L3,V1,M1} R(111,49) { ! distinct_points( skol1, X ), !
% 4.62/4.97 distinct_lines( skol3, line_connecting( skol1, X ) ),
% 4.62/4.97 apart_point_and_line( X, skol3 ) }.
% 4.62/4.97 (15447) {G4,W5,D3,L1,V0,M1} R(2043,50);r(46) { ! distinct_lines( skol3,
% 4.62/4.97 line_connecting( skol1, skol2 ) ) }.
% 4.62/4.97 (15448) {G5,W0,D0,L0,V0,M0} S(15447);r(48) { }.
% 4.62/4.97
% 4.62/4.97
% 4.62/4.97 % SZS output end Refutation
% 4.62/4.97 found a proof!
% 4.62/4.97
% 4.62/4.97
% 4.62/4.97 Unprocessed initial clauses:
% 4.62/4.97
% 4.62/4.97 (15450) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 4.62/4.97 (15451) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 4.62/4.97 (15452) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 4.62/4.97 (15453) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points(
% 4.62/4.97 X, Z ), distinct_points( Y, Z ) }.
% 4.62/4.97 (15454) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X
% 4.62/4.97 , Z ), distinct_lines( Y, Z ) }.
% 4.62/4.97 (15455) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 4.62/4.97 ( X, Z ), convergent_lines( Y, Z ) }.
% 4.62/4.97 (15456) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 4.62/4.97 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 4.62/4.97 (15457) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 4.62/4.97 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 4.62/4.97 (15458) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 4.62/4.97 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 4.62/4.97 (15459) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 4.62/4.97 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 4.62/4.97 (15460) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 4.62/4.97 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 4.62/4.97 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 4.62/4.97 (15461) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 4.62/4.97 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 4.62/4.97 (15462) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 4.62/4.97 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 4.62/4.97 (15463) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines(
% 4.62/4.97 Y, Z ), convergent_lines( X, Z ) }.
% 4.62/4.97 (15464) {G0,W6,D2,L2,V2,M2} { ! distinct_lines( X, Y ), convergent_lines(
% 4.62/4.97 X, Y ) }.
% 4.62/4.97 (15465) {G0,W5,D3,L1,V2,M1} { ! convergent_lines( parallel_through_point(
% 4.62/4.97 Y, X ), Y ) }.
% 4.62/4.97 (15466) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 4.62/4.97 parallel_through_point( Y, X ) ) }.
% 4.62/4.97 (15467) {G0,W12,D2,L4,V3,M4} { ! distinct_lines( X, Y ),
% 4.62/4.97 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 4.62/4.97 convergent_lines( X, Y ) }.
% 4.62/4.97 (15468) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), unorthogonal_lines
% 4.62/4.97 ( X, Y ) }.
% 4.62/4.97 (15469) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 4.62/4.97 unorthogonal_lines( X, Y ), alpha1( X, Z ), convergent_lines( Y, Z ) }.
% 4.62/4.97 (15470) {G0,W12,D2,L4,V3,M4} { ! convergent_lines( X, Y ), !
% 4.62/4.97 unorthogonal_lines( X, Y ), alpha1( X, Z ), unorthogonal_lines( Y, Z )
% 4.62/4.97 }.
% 4.62/4.97 (15471) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), convergent_lines( X, Y )
% 4.62/4.97 }.
% 4.62/4.97 (15472) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), unorthogonal_lines( X, Y )
% 4.62/4.97 }.
% 4.62/4.97 (15473) {G0,W9,D2,L3,V2,M3} { ! convergent_lines( X, Y ), !
% 4.62/4.97 unorthogonal_lines( X, Y ), alpha1( X, Y ) }.
% 4.62/4.97 (15474) {G0,W5,D3,L1,V2,M1} { ! unorthogonal_lines(
% 4.62/4.97 orthogonal_through_point( Y, X ), Y ) }.
% 4.62/4.97 (15475) {G0,W5,D3,L1,V2,M1} { ! apart_point_and_line( X,
% 4.62/4.97 orthogonal_through_point( Y, X ) ) }.
% 4.62/4.97 (15476) {G0,W15,D2,L5,V4,M5} { ! distinct_lines( X, Y ),
% 4.62/4.97 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ),
% 4.62/4.97 unorthogonal_lines( X, T ), unorthogonal_lines( Y, T ) }.
% 4.62/4.97 (15477) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), unorthogonal_lines
% 4.62/4.97 ( X, Y ) }.
% 4.62/4.97 (15478) {G0,W12,D2,L4,V3,M4} { alpha2( X, Z ), convergent_lines( Z, Y ), !
% 4.62/4.97 convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ) }.
% 4.62/4.97 (15479) {G0,W12,D2,L4,V3,M4} { alpha2( X, Z ), unorthogonal_lines( Z, Y )
% 4.62/4.97 , ! convergent_lines( X, Y ), ! unorthogonal_lines( X, Y ) }.
% 4.62/4.97 (15480) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), convergent_lines( Y, X )
% 4.62/4.97 }.
% 4.62/4.97 (15481) {G0,W6,D2,L2,V2,M2} { ! alpha2( X, Y ), unorthogonal_lines( Y, X )
% 4.62/4.97 }.
% 4.62/4.97 (15482) {G0,W9,D2,L3,V2,M3} { ! convergent_lines( Y, X ), !
% 4.62/4.97 unorthogonal_lines( Y, X ), alpha2( X, Y ) }.
% 4.62/4.97 (15483) {G0,W9,D2,L3,V3,M3} { unorthogonal_lines( Z, X ),
% 4.62/4.97 unorthogonal_lines( Z, Y ), ! convergent_lines( X, Y ) }.
% 4.62/4.97 (15484) {G0,W11,D3,L4,V2,M4} { ! point( X ), ! point( Y ), !
% 4.62/4.97 distinct_points( X, Y ), line( line_connecting( X, Y ) ) }.
% 4.62/4.97 (15485) {G0,W11,D3,L4,V2,M4} { ! line( X ), ! line( Y ), !
% 4.62/4.97 convergent_lines( X, Y ), point( intersection_point( X, Y ) ) }.
% 4.62/4.97 (15486) {G0,W8,D3,L3,V2,M3} { ! line( X ), ! point( Y ), line(
% 4.62/4.97 parallel_through_point( X, Y ) ) }.
% 4.62/4.97 (15487) {G0,W8,D3,L3,V2,M3} { ! line( X ), ! point( Y ), line(
% 4.62/4.97 orthogonal_through_point( X, Y ) ) }.
% 4.62/4.97 (15488) {G0,W6,D2,L2,V2,M2} { ! equal_points( X, Y ), ! distinct_points( X
% 4.62/4.97 , Y ) }.
% 4.62/4.97 (15489) {G0,W6,D2,L2,V2,M2} { distinct_points( X, Y ), equal_points( X, Y
% 4.62/4.97 ) }.
% 4.62/4.97 (15490) {G0,W6,D2,L2,V2,M2} { ! equal_lines( X, Y ), ! distinct_lines( X,
% 4.62/4.97 Y ) }.
% 4.62/4.97 (15491) {G0,W6,D2,L2,V2,M2} { distinct_lines( X, Y ), equal_lines( X, Y )
% 4.62/4.97 }.
% 4.62/4.97 (15492) {G0,W6,D2,L2,V2,M2} { ! parallel_lines( X, Y ), ! convergent_lines
% 4.62/4.97 ( X, Y ) }.
% 4.62/4.97 (15493) {G0,W6,D2,L2,V2,M2} { convergent_lines( X, Y ), parallel_lines( X
% 4.62/4.97 , Y ) }.
% 4.62/4.97 (15494) {G0,W6,D2,L2,V2,M2} { ! incident_point_and_line( X, Y ), !
% 4.62/4.97 apart_point_and_line( X, Y ) }.
% 4.62/4.97 (15495) {G0,W6,D2,L2,V2,M2} { apart_point_and_line( X, Y ),
% 4.62/4.97 incident_point_and_line( X, Y ) }.
% 4.62/4.97 (15496) {G0,W6,D2,L2,V2,M2} { ! orthogonal_lines( X, Y ), !
% 4.62/4.97 unorthogonal_lines( X, Y ) }.
% 4.62/4.97 (15497) {G0,W6,D2,L2,V2,M2} { unorthogonal_lines( X, Y ), orthogonal_lines
% 4.62/4.97 ( X, Y ) }.
% 4.62/4.97 (15498) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 4.62/4.97 (15499) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol4 ) }.
% 4.62/4.97 (15500) {G0,W5,D3,L1,V0,M1} { distinct_lines( skol3, line_connecting(
% 4.62/4.97 skol1, skol2 ) ) }.
% 4.62/4.97 (15501) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol1, skol3 ) }.
% 4.62/4.97 (15502) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol2, skol3 ) }.
% 4.62/4.97
% 4.62/4.97
% 4.62/4.97 Total Proof:
% 4.62/4.97
% 4.62/4.97 subsumption: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 4.62/4.97 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 4.62/4.97 parent0: (15456) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 4.62/4.97 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 4.62/4.97 substitution0:
% 4.62/4.97 X := X
% 4.62/4.97 Y := Y
% 4.62/4.97 end
% 4.62/4.97 permutation0:
% 4.62/4.97 0 ==> 0
% 4.62/4.97 1 ==> 1
% 4.62/4.97 end
% 4.62/4.97
% 4.62/4.97 subsumption: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 4.62/4.97 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 4.62/4.97 parent0: (15457) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 4.62/4.97 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 4.62/4.97 substitution0:
% 4.62/4.97 X := X
% 4.62/4.97 Y := Y
% 4.62/4.97 end
% 4.62/4.97 permutation0:
% 4.62/4.97 0 ==> 0
% 4.62/4.97 1 ==> 1
% 4.62/4.97 end
% 4.62/4.97
% 4.62/4.97 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 4.62/4.97 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 4.62/4.97 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 4.62/4.97 apart_point_and_line( X, Z ) }.
% 4.62/4.97 parent0: (15460) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 4.62/4.97 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 4.62/4.97 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 4.62/4.97 apart_point_and_line( Y, T ) }.
% 4.62/4.97 substitution0:
% 4.62/4.97 X := X
% 4.62/4.97 Y := Y
% 4.62/4.97 Z := Z
% 4.62/4.97 T := T
% 4.62/4.97 end
% 4.62/4.97 permutation0:
% 4.62/4.97 0 ==> 0
% 4.62/4.97 1 ==> 1
% 4.62/4.97 2 ==> 5
% 4.62/4.97 3 ==> 2
% 4.62/4.97 4 ==> 3
% 4.62/4.97 5 ==> 4
% 4.62/4.97 end
% 4.62/4.97
% 4.62/4.97 subsumption: (46) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 4.62/4.97 }.
% 4.62/4.97 parent0: (15498) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 4.62/4.97 substitution0:
% 4.62/4.97 end
% 4.62/4.97 permutation0:
% 4.62/4.97 0 ==> 0
% 4.62/4.97 end
% 4.62/4.97
% 4.62/4.97 subsumption: (48) {G0,W5,D3,L1,V0,M1} I { distinct_lines( skol3,
% 4.62/4.97 line_connecting( skol1, skol2 ) ) }.
% 4.62/4.97 parent0: (15500) {G0,W5,D3,L1,V0,M1} { distinct_lines( skol3,
% 4.62/4.97 line_connecting( skol1, skol2 ) ) }.
% 4.62/4.97 substitution0:
% 4.62/4.97 end
% 4.62/4.97 permutation0:
% 4.62/4.97 0 ==> 0
% 4.62/4.97 end
% 4.62/4.97
% 4.62/4.97 subsumption: (49) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 4.62/4.97 skol3 ) }.
% 4.62/4.97 parent0: (15501) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol1,
% 4.62/4.97 skol3 ) }.
% 4.62/4.97 substitution0:
% 4.62/4.97 end
% 4.62/4.97 permutation0:
% 4.62/4.97 0 ==> 0
% 4.62/4.97 end
% 4.62/4.97
% 4.62/4.97 subsumption: (50) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol2,
% 4.62/4.97 skol3 ) }.
% 4.62/4.97 parent0: (15502) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol2,
% 4.62/4.97 skol3 ) }.
% 4.62/4.97 substitution0:
% 4.62/4.97 end
% 4.62/4.97 permutation0:
% 4.62/4.97 0 ==> 0
% 4.62/4.97 end
% 4.62/4.97
% 4.62/4.97 resolution: (15578) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 4.62/4.97 distinct_points( X, Z ), ! distinct_lines( T, line_connecting( X, Y ) ),
% 4.62/4.97 apart_point_and_line( Z, T ), apart_point_and_line( Z, line_connecting( X
% 4.62/4.97 , Y ) ), apart_point_and_line( X, T ) }.
% 4.62/4.97 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 4.62/4.97 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 4.62/4.97 parent1[2]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 4.62/4.97 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 4.62/4.97 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 4.62/4.97 apart_point_and_line( X, Z ) }.
% 4.62/4.97 substitution0:
% 4.62/4.97 X := X
% 4.62/4.97 Y := Y
% 4.62/4.97 end
% 4.62/4.97 substitution1:
% 4.62/4.97 X := X
% 4.62/4.97 Y := Z
% 4.62/4.97 Z := T
% 4.62/4.97 T := line_connecting( X, Y )
% 4.62/4.97 end
% 4.62/4.97
% 4.62/4.97 subsumption: (90) {G1,W22,D3,L6,V4,M3} R(10,6) { ! distinct_points( X, Y )
% 4.62/4.97 , ! distinct_lines( Z, line_connecting( X, T ) ), ! distinct_points( X, T
% 4.62/4.97 ), apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ),
% 4.62/4.97 apart_point_and_line( Y, line_connecting( X, T ) ) }.
% 4.62/4.97 parent0: (15578) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 4.62/4.97 distinct_points( X, Z ), ! distinct_lines( T, line_connecting( X, Y ) ),
% 4.62/4.97 apart_point_and_line( Z, T ), apart_point_and_line( Z, line_connecting( X
% 4.62/4.97 , Y ) ), apart_point_and_line( X, T ) }.
% 4.62/4.97 substitution0:
% 4.62/4.97 X := X
% 4.62/4.97 Y := T
% 4.62/4.97 Z := Y
% 4.62/4.97 T := Z
% 4.62/4.97 end
% 4.62/4.97 permutation0:
% 4.62/4.97 0 ==> 2
% 4.62/4.97 1 ==> 0
% 4.62/4.97 2 ==> 1
% 4.62/4.97 3 ==> 4
% 4.62/4.97 4 ==> 5
% 4.62/4.97 5 ==> 3
% 4.62/4.97 end
% 4.62/4.97
% 4.62/4.97 factor: (15594) {G1,W19,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 4.62/4.97 distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line( X, Z
% 4.62/4.97 ), apart_point_and_line( Y, Z ), apart_point_and_line( Y,
% 4.62/4.97 line_connecting( X, Y ) ) }.
% 4.62/4.97 parent0[0, 2]: (90) {G1,W22,D3,L6,V4,M3} R(10,6) { ! distinct_points( X, Y
% 4.62/4.97 ), ! distinct_lines( Z, line_connecting( X, T ) ), ! distinct_points( X
% 4.62/4.97 , T ), apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ),
% 4.62/4.97 apart_point_and_line( Y, line_connecting( X, T ) ) }.
% 4.62/4.97 substitution0:
% 4.62/4.97 X := X
% 4.62/4.97 Y := Y
% 4.62/4.97 Z := Z
% 4.62/4.97 T := Y
% 4.62/4.97 end
% 4.62/4.97
% 4.62/4.97 resolution: (15601) {G1,W17,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 4.62/4.97 distinct_points( X, Y ), ! distinct_lines( Z, line_connecting( X, Y ) ),
% 4.62/4.97 apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ) }.
% 4.62/4.97 parent0[1]: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 4.62/4.97 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 4.62/4.97 parent1[4]: (15594) {G1,W19,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 4.62/4.97 distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line( X, Z
% 4.62/4.97 ), apart_point_and_line( Y, Z ), apart_point_and_line( Y,
% 4.62/4.97 line_connecting( X, Y ) ) }.
% 4.62/4.97 substitution0:
% 4.62/4.97 X := X
% 4.62/4.97 Y := Y
% 4.62/4.97 end
% 4.62/4.97 substitution1:
% 4.62/4.97 X := X
% 4.62/4.97 Y := Y
% 4.62/4.97 Z := Z
% 4.62/4.97 end
% 4.62/4.97
% 4.62/4.97 factor: (15602) {G1,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 4.62/4.97 distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line( X, Z
% 4.62/4.97 ), apart_point_and_line( Y, Z ) }.
% 4.62/4.97 parent0[0, 1]: (15601) {G1,W17,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 4.62/4.97 distinct_points( X, Y ), ! distinct_lines( Z, line_connecting( X, Y ) )
% 4.62/4.97 , apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ) }.
% 4.62/4.97 substitution0:
% 4.62/4.97 X := X
% 4.62/4.97 Y := Y
% 4.62/4.97 Z := Z
% 4.62/4.97 end
% 4.62/4.97
% 4.62/4.97 subsumption: (111) {G2,W14,D3,L4,V3,M2} F(90);r(7) { ! distinct_points( X,
% 4.62/4.97 Y ), ! distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line
% 4.62/4.97 ( Y, Z ), apart_point_and_line( X, Z ) }.
% 4.62/4.97 parent0: (15602) {G1,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 4.62/4.97 distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line( X, Z
% 4.62/4.97 ), apart_point_and_line( Y, Z ) }.
% 4.62/4.97 substitution0:
% 4.62/4.97 X := X
% 4.62/4.97 Y := Y
% 4.62/4.97 Z := Z
% 4.62/4.97 end
% 4.62/4.97 permutation0:
% 4.62/4.97 0 ==> 0
% 4.62/4.97 1 ==> 1
% 4.62/4.97 2 ==> 3
% 4.62/4.97 3 ==> 2
% 4.62/4.97 end
% 4.62/4.97
% 4.62/4.97 resolution: (15605) {G1,W11,D3,L3,V1,M3} { ! distinct_points( skol1, X ),
% 4.62/4.97 ! distinct_lines( skol3, line_connecting( skol1, X ) ),
% 4.62/4.97 apart_point_and_line( X, skol3 ) }.
% 4.62/4.97 parent0[0]: (49) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 4.62/4.97 skol3 ) }.
% 4.62/4.97 parent1[3]: (111) {G2,W14,D3,L4,V3,M2} F(90);r(7) { ! distinct_points( X, Y
% 4.62/4.97 ), ! distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line
% 4.62/4.97 ( Y, Z ), apart_point_and_line( X, Z ) }.
% 4.62/4.97 substitution0:
% 4.62/4.97 end
% 4.62/4.97 substitution1:
% 4.62/4.97 X := skol1
% 4.62/4.97 Y := X
% 4.62/4.97 Z := skol3
% 4.62/4.97 end
% 4.62/4.97
% 4.62/4.97 subsumption: (2043) {G3,W11,D3,L3,V1,M1} R(111,49) { ! distinct_points(
% 4.62/4.97 skol1, X ), ! distinct_lines( skol3, line_connecting( skol1, X ) ),
% 4.62/4.97 apart_point_and_line( X, skol3 ) }.
% 4.62/4.97 parent0: (15605) {G1,W11,D3,L3,V1,M3} { ! distinct_points( skol1, X ), !
% 4.62/4.97 distinct_lines( skol3, line_connecting( skol1, X ) ),
% 4.62/4.97 apart_point_and_line( X, skol3 ) }.
% 4.62/4.97 substitution0:
% 4.62/4.97 X := X
% 4.62/4.97 end
% 4.62/4.97 permutation0:
% 4.62/4.97 0 ==> 0
% 4.62/4.97 1 ==> 1
% 4.62/4.97 2 ==> 2
% 4.62/4.97 end
% 4.62/4.97
% 4.62/4.97 resolution: (15606) {G1,W8,D3,L2,V0,M2} { ! distinct_points( skol1, skol2
% 4.62/4.97 ), ! distinct_lines( skol3, line_connecting( skol1, skol2 ) ) }.
% 4.62/4.97 parent0[0]: (50) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol2,
% 4.62/4.97 skol3 ) }.
% 4.62/4.97 parent1[2]: (2043) {G3,W11,D3,L3,V1,M1} R(111,49) { ! distinct_points(
% 4.62/4.97 skol1, X ), ! distinct_lines( skol3, line_connecting( skol1, X ) ),
% 4.62/4.97 apart_point_and_line( X, skol3 ) }.
% 4.62/4.97 substitution0:
% 4.62/4.97 end
% 4.62/4.97 substitution1:
% 4.62/4.97 X := skol2
% 4.62/4.97 end
% 4.62/4.97
% 4.62/4.97 resolution: (15607) {G1,W5,D3,L1,V0,M1} { ! distinct_lines( skol3,
% 4.62/4.97 line_connecting( skol1, skol2 ) ) }.
% 4.62/4.97 parent0[0]: (15606) {G1,W8,D3,L2,V0,M2} { ! distinct_points( skol1, skol2
% 4.62/4.97 ), ! distinct_lines( skol3, line_connecting( skol1, skol2 ) ) }.
% 4.62/4.97 parent1[0]: (46) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 4.62/4.97 }.
% 4.62/4.97 substitution0:
% 4.62/4.97 end
% 4.62/4.97 substitution1:
% 4.62/4.97 end
% 4.62/4.97
% 4.62/4.97 subsumption: (15447) {G4,W5,D3,L1,V0,M1} R(2043,50);r(46) { !
% 4.62/4.97 distinct_lines( skol3, line_connecting( skol1, skol2 ) ) }.
% 4.62/4.97 parent0: (15607) {G1,W5,D3,L1,V0,M1} { ! distinct_lines( skol3,
% 4.62/4.97 line_connecting( skol1, skol2 ) ) }.
% 4.62/4.97 substitution0:
% 4.62/4.97 end
% 4.62/4.97 permutation0:
% 4.62/4.97 0 ==> 0
% 4.62/4.97 end
% 4.62/4.97
% 4.62/4.97 resolution: (15608) {G1,W0,D0,L0,V0,M0} { }.
% 4.62/4.97 parent0[0]: (15447) {G4,W5,D3,L1,V0,M1} R(2043,50);r(46) { ! distinct_lines
% 4.62/4.97 ( skol3, line_connecting( skol1, skol2 ) ) }.
% 4.62/4.97 parent1[0]: (48) {G0,W5,D3,L1,V0,M1} I { distinct_lines( skol3,
% 4.62/4.97 line_connecting( skol1, skol2 ) ) }.
% 4.62/4.97 substitution0:
% 4.62/4.97 end
% 4.62/4.97 substitution1:
% 4.62/4.97 end
% 4.62/4.97
% 4.62/4.97 subsumption: (15448) {G5,W0,D0,L0,V0,M0} S(15447);r(48) { }.
% 4.62/4.97 parent0: (15608) {G1,W0,D0,L0,V0,M0} { }.
% 4.62/4.97 substitution0:
% 4.62/4.97 end
% 4.62/4.97 permutation0:
% 4.62/4.97 end
% 4.62/4.97
% 4.62/4.97 Proof check complete!
% 4.62/4.97
% 4.62/4.97 Memory use:
% 4.62/4.97
% 4.62/4.97 space for terms: 220568
% 4.62/4.97 space for clauses: 618246
% 4.62/4.97
% 4.62/4.97
% 4.62/4.97 clauses generated: 263036
% 4.62/4.97 clauses kept: 15449
% 4.62/4.97 clauses selected: 1445
% 4.62/4.97 clauses deleted: 11
% 4.62/4.97 clauses inuse deleted: 2
% 4.62/4.97
% 4.62/4.97 subsentry: 5861841
% 4.62/4.97 literals s-matched: 1993602
% 4.62/4.97 literals matched: 1993031
% 4.62/4.97 full subsumption: 1172878
% 4.62/4.97
% 4.62/4.97 checksum: -938407831
% 4.62/4.97
% 4.62/4.97
% 4.62/4.97 Bliksem ended
%------------------------------------------------------------------------------