%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO191+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 02:52:30 EDT 2022
% Result : Theorem 42.54s 42.92s
% Output : Refutation 42.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : GEO191+1 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.09 % Command : bliksem %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % DateTime : Fri Jun 17 15:09:31 EDT 2022
% 0.08/0.28 % CPUTime :
% 42.54/42.92 *** allocated 10000 integers for termspace/termends
% 42.54/42.92 *** allocated 10000 integers for clauses
% 42.54/42.92 *** allocated 10000 integers for justifications
% 42.54/42.92 Bliksem 1.12
% 42.54/42.92
% 42.54/42.92
% 42.54/42.92 Automatic Strategy Selection
% 42.54/42.92
% 42.54/42.92
% 42.54/42.92 Clauses:
% 42.54/42.92
% 42.54/42.92 { ! distinct_points( X, X ) }.
% 42.54/42.92 { ! distinct_lines( X, X ) }.
% 42.54/42.92 { ! convergent_lines( X, X ) }.
% 42.54/42.92 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 42.54/42.92 ) }.
% 42.54/42.92 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 42.54/42.92 }.
% 42.54/42.92 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 42.54/42.92 , Z ) }.
% 42.54/42.92 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 42.54/42.92 , Y ) ) }.
% 42.54/42.92 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 42.54/42.92 , Y ) ) }.
% 42.54/42.92 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 42.54/42.92 , Y ), X ) }.
% 42.54/42.92 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 42.54/42.92 , Y ), Y ) }.
% 42.54/42.92 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 42.54/42.92 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 42.54/42.92 apart_point_and_line( Y, T ) }.
% 42.54/42.92 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 42.54/42.92 apart_point_and_line( Z, Y ) }.
% 42.54/42.92 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 42.54/42.92 apart_point_and_line( X, Z ) }.
% 42.54/42.92 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 42.54/42.92 Z ) }.
% 42.54/42.92 { convergent_lines( skol1, skol2 ) }.
% 42.54/42.92 { convergent_lines( skol3, skol4 ) }.
% 42.54/42.92 { apart_point_and_line( intersection_point( skol1, skol2 ), skol3 ),
% 42.54/42.92 apart_point_and_line( intersection_point( skol1, skol2 ), skol4 ) }.
% 42.54/42.92 { ! apart_point_and_line( intersection_point( skol3, skol4 ), skol1 ) }.
% 42.54/42.92 { ! apart_point_and_line( intersection_point( skol3, skol4 ), skol2 ) }.
% 42.54/42.92
% 42.54/42.92 percentage equality = 0.000000, percentage horn = 0.578947
% 42.54/42.92 This a non-horn, non-equality problem
% 42.54/42.92
% 42.54/42.92
% 42.54/42.92 Options Used:
% 42.54/42.92
% 42.54/42.92 useres = 1
% 42.54/42.92 useparamod = 0
% 42.54/42.92 useeqrefl = 0
% 42.54/42.92 useeqfact = 0
% 42.54/42.92 usefactor = 1
% 42.54/42.92 usesimpsplitting = 0
% 42.54/42.92 usesimpdemod = 0
% 42.54/42.92 usesimpres = 3
% 42.54/42.92
% 42.54/42.92 resimpinuse = 1000
% 42.54/42.92 resimpclauses = 20000
% 42.54/42.92 substype = standard
% 42.54/42.92 backwardsubs = 1
% 42.54/42.92 selectoldest = 5
% 42.54/42.92
% 42.54/42.92 litorderings [0] = split
% 42.54/42.92 litorderings [1] = liftord
% 42.54/42.92
% 42.54/42.92 termordering = none
% 42.54/42.92
% 42.54/42.92 litapriori = 1
% 42.54/42.92 termapriori = 0
% 42.54/42.92 litaposteriori = 0
% 42.54/42.92 termaposteriori = 0
% 42.54/42.92 demodaposteriori = 0
% 42.54/42.92 ordereqreflfact = 0
% 42.54/42.92
% 42.54/42.92 litselect = none
% 42.54/42.92
% 42.54/42.92 maxweight = 15
% 42.54/42.92 maxdepth = 30000
% 42.54/42.92 maxlength = 115
% 42.54/42.92 maxnrvars = 195
% 42.54/42.92 excuselevel = 1
% 42.54/42.92 increasemaxweight = 1
% 42.54/42.92
% 42.54/42.92 maxselected = 10000000
% 42.54/42.92 maxnrclauses = 10000000
% 42.54/42.92
% 42.54/42.92 showgenerated = 0
% 42.54/42.92 showkept = 0
% 42.54/42.92 showselected = 0
% 42.54/42.92 showdeleted = 0
% 42.54/42.92 showresimp = 1
% 42.54/42.92 showstatus = 2000
% 42.54/42.92
% 42.54/42.92 prologoutput = 0
% 42.54/42.92 nrgoals = 5000000
% 42.54/42.92 totalproof = 1
% 42.54/42.92
% 42.54/42.92 Symbols occurring in the translation:
% 42.54/42.92
% 42.54/42.92 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 42.54/42.92 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 42.54/42.92 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 42.54/42.92 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 42.54/42.92 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 42.54/42.92 distinct_points [36, 2] (w:1, o:45, a:1, s:1, b:0),
% 42.54/42.92 distinct_lines [37, 2] (w:1, o:46, a:1, s:1, b:0),
% 42.54/42.92 convergent_lines [38, 2] (w:1, o:44, a:1, s:1, b:0),
% 42.54/42.92 line_connecting [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 42.54/42.92 apart_point_and_line [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 42.54/42.92 intersection_point [43, 2] (w:1, o:49, a:1, s:1, b:0),
% 42.54/42.92 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 42.54/42.92 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 42.54/42.92 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 42.54/42.92 skol4 [49, 0] (w:1, o:14, a:1, s:1, b:0).
% 42.54/42.92
% 42.54/42.92
% 42.54/42.92 Starting Search:
% 42.54/42.92
% 42.54/42.92 *** allocated 15000 integers for clauses
% 42.54/42.92 *** allocated 22500 integers for clauses
% 42.54/42.92 *** allocated 33750 integers for clauses
% 42.54/42.92 *** allocated 15000 integers for termspace/termends
% 42.54/42.92 *** allocated 50625 integers for clauses
% 42.54/42.92 Resimplifying inuse:
% 42.54/42.92 Done
% 42.54/42.92
% 42.54/42.92 *** allocated 22500 integers for termspace/termends
% 42.54/42.92 *** allocated 75937 integers for clauses
% 42.54/42.92 *** allocated 33750 integers for termspace/termends
% 42.54/42.92
% 42.54/42.92 Intermediate Status:
% 42.54/42.92 Generated: 21609
% 42.54/42.92 Kept: 2072
% 42.54/42.92 Inuse: 359
% 42.54/42.92 Deleted: 2
% 42.54/42.92 Deletedinuse: 0
% 42.54/42.92
% 42.54/42.92 Resimplifying inuse:
% 42.54/42.92 Done
% 42.54/42.92
% 42.54/42.92 *** allocated 113905 integers for clauses
% 42.54/42.92 *** allocated 50625 integers for termspace/termends
% 42.54/42.92 Resimplifying inuse:
% 42.54/42.92 Done
% 42.54/42.92
% 42.54/42.92 Failed to find proof!
% 42.54/42.92 maxweight = 15
% 42.54/42.92 maxnrclauses = 10000000
% 42.54/42.92 Generated: 353746
% 42.54/42.92 Kept: 2955
% 42.54/42.92
% 42.54/42.92
% 42.54/42.92 The strategy used was not complete!
% 42.54/42.92
% 42.54/42.92 Increased maxweight to 16
% 42.54/42.92
% 42.54/42.92 Starting Search:
% 42.54/42.92
% 42.54/42.92 Resimplifying inuse:
% 42.54/42.92 Done
% 42.54/42.92
% 42.54/42.92
% 42.54/42.92 Intermediate Status:
% 42.54/42.92 Generated: 21617
% 42.54/42.92 Kept: 2172
% 42.54/42.92 Inuse: 359
% 42.54/42.92 Deleted: 2
% 42.54/42.92 Deletedinuse: 0
% 42.54/42.92
% 42.54/42.92 Resimplifying inuse:
% 42.54/42.92 Done
% 42.54/42.92
% 42.54/42.92 Resimplifying inuse:
% 42.54/42.92 Done
% 42.54/42.92
% 42.54/42.92 *** allocated 170857 integers for clauses
% 42.54/42.92 Resimplifying inuse:
% 42.54/42.92 Done
% 42.54/42.92
% 42.54/42.92 Failed to find proof!
% 42.54/42.92 maxweight = 16
% 42.54/42.92 maxnrclauses = 10000000
% 42.54/42.92 Generated: 388872
% 42.54/42.92 Kept: 3451
% 42.54/42.92
% 42.54/42.92
% 42.54/42.92 The strategy used was not complete!
% 42.54/42.92
% 42.54/42.92 Increased maxweight to 17
% 42.54/42.92
% 42.54/42.92 Starting Search:
% 42.54/42.92
% 42.54/42.92 Resimplifying inuse:
% 42.54/42.92 Done
% 42.54/42.92
% 42.54/42.92
% 42.54/42.92 Intermediate Status:
% 42.54/42.92 Generated: 19679
% 42.54/42.92 Kept: 2094
% 42.54/42.92 Inuse: 344
% 42.54/42.92 Deleted: 2
% 42.54/42.92 Deletedinuse: 0
% 42.54/42.92
% 42.54/42.92 Resimplifying inuse:
% 42.54/42.92 Done
% 42.54/42.92
% 42.54/42.92 Resimplifying inuse:
% 42.54/42.92 Done
% 42.54/42.92
% 42.54/42.92 *** allocated 75937 integers for termspace/termends
% 42.54/42.92
% 42.54/42.92 Intermediate Status:
% 42.54/42.92 Generated: 38644
% 42.54/42.92 Kept: 4099
% 42.54/42.92 Inuse: 491
% 42.54/42.92 Deleted: 2
% 42.54/42.92 Deletedinuse: 0
% 42.54/42.92
% 42.54/42.92 Resimplifying inuse:
% 42.54/42.92 Done
% 42.54/42.92
% 42.54/42.92 Resimplifying inuse:
% 42.54/42.92 Done
% 42.54/42.92
% 42.54/42.92 Failed to find proof!
% 42.54/42.92 maxweight = 17
% 42.54/42.92 maxnrclauses = 10000000
% 42.54/42.92 Generated: 1087116
% 42.54/42.92 Kept: 4803
% 42.54/42.92
% 42.54/42.92
% 42.54/42.92 The strategy used was not complete!
% 42.54/42.92
% 42.54/42.92 Increased maxweight to 18
% 42.54/42.92
% 42.54/42.92 Starting Search:
% 42.54/42.92
% 42.54/42.92 Resimplifying inuse:
% 42.54/42.92 Done
% 42.54/42.92
% 42.54/42.92
% 42.54/42.92 Intermediate Status:
% 42.54/42.92 Generated: 20317
% 42.54/42.92 Kept: 2198
% 42.54/42.92 Inuse: 344
% 42.54/42.92 Deleted: 2
% 42.54/42.92 Deletedinuse: 0
% 42.54/42.92
% 42.54/42.92 Resimplifying inuse:
% 42.54/42.92 Done
% 42.54/42.92
% 42.54/42.92 Resimplifying inuse:
% 42.54/42.92 Done
% 42.54/42.92
% 42.54/42.92
% 42.54/42.92 Intermediate Status:
% 42.54/42.92 Generated: 33536
% 42.54/42.92 Kept: 4259
% 42.54/42.92 Inuse: 432
% 42.54/42.92 Deleted: 2
% 42.54/42.92 Deletedinuse: 0
% 42.54/42.92
% 42.54/42.92 Resimplifying inuse:
% 42.54/42.92 Done
% 42.54/42.92
% 42.54/42.92 *** allocated 113905 integers for termspace/termends
% 42.54/42.92 *** allocated 256285 integers for clauses
% 42.54/42.92 Resimplifying inuse:
% 42.54/42.92 Done
% 42.54/42.92
% 42.54/42.92
% 42.54/42.92 Intermediate Status:
% 42.54/42.92 Generated: 70954
% 42.54/42.92 Kept: 6302
% 42.54/42.92 Inuse: 564
% 42.54/42.92 Deleted: 2
% 42.54/42.92 Deletedinuse: 0
% 42.54/42.92
% 42.54/42.92 Resimplifying inuse:
% 42.54/42.92 Done
% 42.54/42.92
% 42.54/42.92 *** allocated 170857 integers for termspace/termends
% 42.54/42.92 Resimplifying inuse:
% 42.54/42.92 Done
% 42.54/42.92
% 42.54/42.92 *** allocated 384427 integers for clauses
% 42.54/42.92
% 42.54/42.92 Intermediate Status:
% 42.54/42.92 Generated: 148444
% 42.54/42.92 Kept: 8307
% 42.54/42.92 Inuse: 948
% 42.54/42.92 Deleted: 4
% 42.54/42.92 Deletedinuse: 0
% 42.54/42.92
% 42.54/42.92 Resimplifying inuse:
% 42.54/42.92 Done
% 42.54/42.92
% 42.54/42.92 Resimplifying inuse:
% 42.54/42.92 Done
% 42.54/42.92
% 42.54/42.92 *** allocated 256285 integers for termspace/termends
% 42.54/42.92
% 42.54/42.92 Intermediate Status:
% 42.54/42.92 Generated: 4166937
% 42.54/42.92 Kept: 10307
% 42.54/42.92 Inuse: 9760
% 42.54/42.92 Deleted: 61
% 42.54/42.92 Deletedinuse: 0
% 42.54/42.92
% 42.54/42.92 Resimplifying inuse:
% 42.54/42.92 Done
% 42.54/42.92
% 42.54/42.92
% 42.54/42.92 Bliksems!, er is een bewijs:
% 42.54/42.92 % SZS status Theorem
% 42.54/42.92 % SZS output start Refutation
% 42.54/42.92
% 42.54/42.92 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 42.54/42.92 (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 42.54/42.92 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 42.54/42.92 , ! distinct_lines( X, Y ) }.
% 42.54/42.92 (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), convergent_lines( Y,
% 42.54/42.92 Z ), ! convergent_lines( X, Y ) }.
% 42.54/42.92 (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 42.54/42.92 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 42.54/42.92 (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 42.54/42.92 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 42.54/42.92 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 42.54/42.92 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 42.54/42.92 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 42.54/42.92 (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 42.54/42.92 ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 42.54/42.92 (13) {G0,W9,D2,L3,V3,M1} I { ! convergent_lines( X, Y ), convergent_lines(
% 42.54/42.92 X, Z ), distinct_lines( Y, Z ) }.
% 42.54/42.92 (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 ) }.
% 42.54/42.92 (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol4 ) }.
% 42.54/42.92 (16) {G0,W10,D3,L2,V0,M1} I { apart_point_and_line( intersection_point(
% 42.54/42.92 skol1, skol2 ), skol3 ), apart_point_and_line( intersection_point( skol1
% 42.54/42.92 , skol2 ), skol4 ) }.
% 42.54/42.92 (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( intersection_point(
% 42.54/42.92 skol3, skol4 ), skol1 ) }.
% 42.54/42.92 (18) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( intersection_point(
% 42.54/42.92 skol3, skol4 ), skol2 ) }.
% 42.54/42.92 (26) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 42.54/42.92 ( X, Y ) }.
% 42.54/42.92 (31) {G1,W6,D2,L2,V1,M1} R(5,14) { convergent_lines( skol1, X ),
% 42.54/42.92 convergent_lines( skol2, X ) }.
% 42.54/42.92 (33) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 42.54/42.92 convergent_lines( X, Y ) }.
% 42.54/42.92 (38) {G2,W6,D2,L2,V1,M2} R(31,33) { convergent_lines( X, skol2 ),
% 42.54/42.92 convergent_lines( skol1, X ) }.
% 42.54/42.92 (48) {G1,W22,D3,L6,V4,M3} R(10,8) { ! distinct_points( intersection_point(
% 42.54/42.92 X, Y ), Z ), ! distinct_lines( T, X ), ! convergent_lines( X, Y ),
% 42.54/42.92 apart_point_and_line( intersection_point( X, Y ), T ),
% 42.54/42.92 apart_point_and_line( Z, T ), apart_point_and_line( Z, X ) }.
% 42.54/42.92 (66) {G3,W6,D2,L2,V1,M1} R(38,33) { convergent_lines( X, skol1 ),
% 42.54/42.92 convergent_lines( X, skol2 ) }.
% 42.54/42.92 (81) {G1,W11,D3,L3,V3,M1} R(11,9) { distinct_points( X, intersection_point
% 42.54/42.92 ( Y, Z ) ), ! convergent_lines( Y, Z ), ! apart_point_and_line( X, Z )
% 42.54/42.92 }.
% 42.54/42.92 (120) {G2,W9,D2,L3,V3,M1} R(13,26) { ! convergent_lines( X, Y ),
% 42.54/42.92 convergent_lines( X, Z ), distinct_lines( Z, Y ) }.
% 42.54/42.92 (582) {G2,W17,D3,L5,V3,M2} R(48,9);f { ! distinct_points(
% 42.54/42.92 intersection_point( X, Y ), Z ), ! convergent_lines( X, Y ), !
% 42.54/42.92 distinct_lines( Y, X ), apart_point_and_line( Z, X ),
% 42.54/42.92 apart_point_and_line( Z, Y ) }.
% 42.54/42.92 (1308) {G2,W15,D3,L3,V1,M1} R(81,16) { ! convergent_lines( X, skol4 ),
% 42.54/42.92 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 42.54/42.92 X, skol4 ) ), apart_point_and_line( intersection_point( skol1, skol2 ),
% 42.54/42.92 skol3 ) }.
% 42.54/42.92 (8939) {G3,W18,D3,L4,V1,M1} R(582,17) { ! convergent_lines( skol1, X ), !
% 42.54/42.92 distinct_points( intersection_point( skol1, X ), intersection_point(
% 42.54/42.92 skol3, skol4 ) ), ! distinct_lines( X, skol1 ), apart_point_and_line(
% 42.54/42.92 intersection_point( skol3, skol4 ), X ) }.
% 42.54/42.92 (9731) {G3,W18,D3,L4,V2,M1} R(1308,11) { ! convergent_lines( X, skol4 ),
% 42.54/42.92 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 42.54/42.92 X, skol4 ) ), distinct_points( intersection_point( skol1, skol2 ), Y ),
% 42.54/42.92 apart_point_and_line( Y, skol3 ) }.
% 42.54/42.92 (9732) {G4,W15,D3,L3,V1,M1} F(9731) { ! convergent_lines( X, skol4 ),
% 42.54/42.92 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 42.54/42.92 X, skol4 ) ), apart_point_and_line( intersection_point( X, skol4 ), skol3
% 42.54/42.92 ) }.
% 42.54/42.92 (9785) {G5,W7,D3,L1,V0,M1} R(9732,8);f;r(15) { distinct_points(
% 42.54/42.92 intersection_point( skol1, skol2 ), intersection_point( skol3, skol4 ) )
% 42.54/42.92 }.
% 42.54/42.92 (10464) {G4,W10,D3,L2,V0,M1} R(8939,18);r(14) { ! distinct_points(
% 42.54/42.92 intersection_point( skol1, skol2 ), intersection_point( skol3, skol4 ) )
% 42.54/42.92 , ! distinct_lines( skol2, skol1 ) }.
% 42.54/42.92 (10465) {G6,W3,D2,L1,V0,M1} S(10464);r(9785) { ! distinct_lines( skol2,
% 42.54/42.92 skol1 ) }.
% 42.54/42.92 (10832) {G7,W3,D2,L1,V1,M1} R(10465,120);r(66) { convergent_lines( X, skol2
% 42.54/42.92 ) }.
% 42.54/42.92 (10921) {G8,W0,D0,L0,V0,M0} R(10832,2) { }.
% 42.54/42.92
% 42.54/42.92
% 42.54/42.92 % SZS output end Refutation
% 42.54/42.92 found a proof!
% 42.54/42.92
% 42.54/42.92
% 42.54/42.92 Unprocessed initial clauses:
% 42.54/42.92
% 42.54/42.92 (10923) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 42.54/42.92 (10924) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 42.54/42.92 (10925) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 42.54/42.92 (10926) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points(
% 42.54/42.92 X, Z ), distinct_points( Y, Z ) }.
% 42.54/42.92 (10927) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X
% 42.54/42.92 , Z ), distinct_lines( Y, Z ) }.
% 42.54/42.92 (10928) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 42.54/42.92 ( X, Z ), convergent_lines( Y, Z ) }.
% 42.54/42.92 (10929) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 42.54/42.92 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 42.54/42.92 (10930) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 42.54/42.92 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 42.54/42.92 (10931) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 42.54/42.92 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 42.54/42.92 (10932) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 42.54/42.92 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 42.54/42.92 (10933) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 42.54/42.92 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 42.54/42.92 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 42.54/42.92 (10934) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 42.54/42.92 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 42.54/42.92 (10935) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 42.54/42.92 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 42.54/42.92 (10936) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines(
% 42.54/42.92 Y, Z ), convergent_lines( X, Z ) }.
% 42.54/42.92 (10937) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 42.54/42.92 (10938) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol4 ) }.
% 42.54/42.92 (10939) {G0,W10,D3,L2,V0,M2} { apart_point_and_line( intersection_point(
% 42.54/42.92 skol1, skol2 ), skol3 ), apart_point_and_line( intersection_point( skol1
% 42.54/42.92 , skol2 ), skol4 ) }.
% 42.54/42.92 (10940) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( intersection_point(
% 42.54/42.92 skol3, skol4 ), skol1 ) }.
% 42.54/42.92 (10941) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( intersection_point(
% 42.54/42.92 skol3, skol4 ), skol2 ) }.
% 42.54/42.92
% 42.54/42.92
% 42.54/42.92 Total Proof:
% 42.54/42.92
% 42.54/42.92 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 42.54/42.92 parent0: (10924) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := X
% 42.54/42.92 end
% 42.54/42.92 permutation0:
% 42.54/42.92 0 ==> 0
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 42.54/42.92 parent0: (10925) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := X
% 42.54/42.92 end
% 42.54/42.92 permutation0:
% 42.54/42.92 0 ==> 0
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 42.54/42.92 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 42.54/42.92 parent0: (10927) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 42.54/42.92 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := X
% 42.54/42.92 Y := Y
% 42.54/42.92 Z := Z
% 42.54/42.92 end
% 42.54/42.92 permutation0:
% 42.54/42.92 0 ==> 2
% 42.54/42.92 1 ==> 0
% 42.54/42.92 2 ==> 1
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 subsumption: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 42.54/42.92 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 42.54/42.92 parent0: (10928) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 42.54/42.92 convergent_lines( X, Z ), convergent_lines( Y, Z ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := X
% 42.54/42.92 Y := Y
% 42.54/42.92 Z := Z
% 42.54/42.92 end
% 42.54/42.92 permutation0:
% 42.54/42.92 0 ==> 2
% 42.54/42.92 1 ==> 0
% 42.54/42.92 2 ==> 1
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 subsumption: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 42.54/42.92 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 42.54/42.92 parent0: (10931) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 42.54/42.92 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := X
% 42.54/42.92 Y := Y
% 42.54/42.92 end
% 42.54/42.92 permutation0:
% 42.54/42.92 0 ==> 0
% 42.54/42.92 1 ==> 1
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 subsumption: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 42.54/42.92 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 42.54/42.92 parent0: (10932) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 42.54/42.92 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := X
% 42.54/42.92 Y := Y
% 42.54/42.92 end
% 42.54/42.92 permutation0:
% 42.54/42.92 0 ==> 0
% 42.54/42.92 1 ==> 1
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 42.54/42.92 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 42.54/42.92 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 42.54/42.92 apart_point_and_line( X, Z ) }.
% 42.54/42.92 parent0: (10933) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 42.54/42.92 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 42.54/42.92 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 42.54/42.92 apart_point_and_line( Y, T ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := X
% 42.54/42.92 Y := Y
% 42.54/42.92 Z := Z
% 42.54/42.92 T := T
% 42.54/42.92 end
% 42.54/42.92 permutation0:
% 42.54/42.92 0 ==> 0
% 42.54/42.92 1 ==> 1
% 42.54/42.92 2 ==> 5
% 42.54/42.92 3 ==> 2
% 42.54/42.92 4 ==> 3
% 42.54/42.92 5 ==> 4
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 42.54/42.92 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 42.54/42.92 parent0: (10934) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 42.54/42.92 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := X
% 42.54/42.92 Y := Y
% 42.54/42.92 Z := Z
% 42.54/42.92 end
% 42.54/42.92 permutation0:
% 42.54/42.92 0 ==> 2
% 42.54/42.92 1 ==> 0
% 42.54/42.92 2 ==> 1
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 subsumption: (13) {G0,W9,D2,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 42.54/42.92 convergent_lines( X, Z ), distinct_lines( Y, Z ) }.
% 42.54/42.92 parent0: (10936) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 42.54/42.92 distinct_lines( Y, Z ), convergent_lines( X, Z ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := X
% 42.54/42.92 Y := Y
% 42.54/42.92 Z := Z
% 42.54/42.92 end
% 42.54/42.92 permutation0:
% 42.54/42.92 0 ==> 0
% 42.54/42.92 1 ==> 2
% 42.54/42.92 2 ==> 1
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 42.54/42.92 }.
% 42.54/42.92 parent0: (10937) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 )
% 42.54/42.92 }.
% 42.54/42.92 substitution0:
% 42.54/42.92 end
% 42.54/42.92 permutation0:
% 42.54/42.92 0 ==> 0
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 subsumption: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol4 )
% 42.54/42.92 }.
% 42.54/42.92 parent0: (10938) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol4 )
% 42.54/42.92 }.
% 42.54/42.92 substitution0:
% 42.54/42.92 end
% 42.54/42.92 permutation0:
% 42.54/42.92 0 ==> 0
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 subsumption: (16) {G0,W10,D3,L2,V0,M1} I { apart_point_and_line(
% 42.54/42.92 intersection_point( skol1, skol2 ), skol3 ), apart_point_and_line(
% 42.54/42.92 intersection_point( skol1, skol2 ), skol4 ) }.
% 42.54/42.92 parent0: (10939) {G0,W10,D3,L2,V0,M2} { apart_point_and_line(
% 42.54/42.92 intersection_point( skol1, skol2 ), skol3 ), apart_point_and_line(
% 42.54/42.92 intersection_point( skol1, skol2 ), skol4 ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 end
% 42.54/42.92 permutation0:
% 42.54/42.92 0 ==> 0
% 42.54/42.92 1 ==> 1
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 subsumption: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 42.54/42.92 intersection_point( skol3, skol4 ), skol1 ) }.
% 42.54/42.92 parent0: (10940) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line(
% 42.54/42.92 intersection_point( skol3, skol4 ), skol1 ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 end
% 42.54/42.92 permutation0:
% 42.54/42.92 0 ==> 0
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 subsumption: (18) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 42.54/42.92 intersection_point( skol3, skol4 ), skol2 ) }.
% 42.54/42.92 parent0: (10941) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line(
% 42.54/42.92 intersection_point( skol3, skol4 ), skol2 ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 end
% 42.54/42.92 permutation0:
% 42.54/42.92 0 ==> 0
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 resolution: (11025) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 42.54/42.92 distinct_lines( X, Y ) }.
% 42.54/42.92 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 42.54/42.92 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 42.54/42.92 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := X
% 42.54/42.92 end
% 42.54/42.92 substitution1:
% 42.54/42.92 X := X
% 42.54/42.92 Y := Y
% 42.54/42.92 Z := X
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 subsumption: (26) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 42.54/42.92 distinct_lines( X, Y ) }.
% 42.54/42.92 parent0: (11025) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 42.54/42.92 distinct_lines( X, Y ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := Y
% 42.54/42.92 Y := X
% 42.54/42.92 end
% 42.54/42.92 permutation0:
% 42.54/42.92 0 ==> 1
% 42.54/42.92 1 ==> 0
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 resolution: (11027) {G1,W6,D2,L2,V1,M2} { convergent_lines( skol1, X ),
% 42.54/42.92 convergent_lines( skol2, X ) }.
% 42.54/42.92 parent0[2]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 42.54/42.92 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 42.54/42.92 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 42.54/42.92 }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := skol1
% 42.54/42.92 Y := skol2
% 42.54/42.92 Z := X
% 42.54/42.92 end
% 42.54/42.92 substitution1:
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 subsumption: (31) {G1,W6,D2,L2,V1,M1} R(5,14) { convergent_lines( skol1, X
% 42.54/42.92 ), convergent_lines( skol2, X ) }.
% 42.54/42.92 parent0: (11027) {G1,W6,D2,L2,V1,M2} { convergent_lines( skol1, X ),
% 42.54/42.92 convergent_lines( skol2, X ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := X
% 42.54/42.92 end
% 42.54/42.92 permutation0:
% 42.54/42.92 0 ==> 0
% 42.54/42.92 1 ==> 1
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 resolution: (11028) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 42.54/42.92 convergent_lines( X, Y ) }.
% 42.54/42.92 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 42.54/42.92 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 42.54/42.92 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := X
% 42.54/42.92 end
% 42.54/42.92 substitution1:
% 42.54/42.92 X := X
% 42.54/42.92 Y := Y
% 42.54/42.92 Z := X
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 subsumption: (33) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 42.54/42.92 convergent_lines( X, Y ) }.
% 42.54/42.92 parent0: (11028) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 42.54/42.92 convergent_lines( X, Y ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := Y
% 42.54/42.92 Y := X
% 42.54/42.92 end
% 42.54/42.92 permutation0:
% 42.54/42.92 0 ==> 1
% 42.54/42.92 1 ==> 0
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 resolution: (11031) {G2,W6,D2,L2,V1,M2} { convergent_lines( X, skol2 ),
% 42.54/42.92 convergent_lines( skol1, X ) }.
% 42.54/42.92 parent0[0]: (33) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 42.54/42.92 convergent_lines( X, Y ) }.
% 42.54/42.92 parent1[1]: (31) {G1,W6,D2,L2,V1,M1} R(5,14) { convergent_lines( skol1, X )
% 42.54/42.92 , convergent_lines( skol2, X ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := X
% 42.54/42.92 Y := skol2
% 42.54/42.92 end
% 42.54/42.92 substitution1:
% 42.54/42.92 X := X
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 subsumption: (38) {G2,W6,D2,L2,V1,M2} R(31,33) { convergent_lines( X, skol2
% 42.54/42.92 ), convergent_lines( skol1, X ) }.
% 42.54/42.92 parent0: (11031) {G2,W6,D2,L2,V1,M2} { convergent_lines( X, skol2 ),
% 42.54/42.92 convergent_lines( skol1, X ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := X
% 42.54/42.92 end
% 42.54/42.92 permutation0:
% 42.54/42.92 0 ==> 0
% 42.54/42.92 1 ==> 1
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 resolution: (11032) {G1,W22,D3,L6,V4,M6} { ! convergent_lines( X, Y ), !
% 42.54/42.92 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( T, X
% 42.54/42.92 ), apart_point_and_line( Z, T ), apart_point_and_line( Z, X ),
% 42.54/42.92 apart_point_and_line( intersection_point( X, Y ), T ) }.
% 42.54/42.92 parent0[1]: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 42.54/42.92 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 42.54/42.92 parent1[2]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 42.54/42.92 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 42.54/42.92 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 42.54/42.92 apart_point_and_line( X, Z ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := X
% 42.54/42.92 Y := Y
% 42.54/42.92 end
% 42.54/42.92 substitution1:
% 42.54/42.92 X := intersection_point( X, Y )
% 42.54/42.92 Y := Z
% 42.54/42.92 Z := T
% 42.54/42.92 T := X
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 subsumption: (48) {G1,W22,D3,L6,V4,M3} R(10,8) { ! distinct_points(
% 42.54/42.92 intersection_point( X, Y ), Z ), ! distinct_lines( T, X ), !
% 42.54/42.92 convergent_lines( X, Y ), apart_point_and_line( intersection_point( X, Y
% 42.54/42.92 ), T ), apart_point_and_line( Z, T ), apart_point_and_line( Z, X ) }.
% 42.54/42.92 parent0: (11032) {G1,W22,D3,L6,V4,M6} { ! convergent_lines( X, Y ), !
% 42.54/42.92 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( T, X
% 42.54/42.92 ), apart_point_and_line( Z, T ), apart_point_and_line( Z, X ),
% 42.54/42.92 apart_point_and_line( intersection_point( X, Y ), T ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := X
% 42.54/42.92 Y := Y
% 42.54/42.92 Z := Z
% 42.54/42.92 T := T
% 42.54/42.92 end
% 42.54/42.92 permutation0:
% 42.54/42.92 0 ==> 2
% 42.54/42.92 1 ==> 0
% 42.54/42.92 2 ==> 1
% 42.54/42.92 3 ==> 4
% 42.54/42.92 4 ==> 5
% 42.54/42.92 5 ==> 3
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 resolution: (11042) {G2,W6,D2,L2,V1,M2} { convergent_lines( X, skol1 ),
% 42.54/42.92 convergent_lines( X, skol2 ) }.
% 42.54/42.92 parent0[0]: (33) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 42.54/42.92 convergent_lines( X, Y ) }.
% 42.54/42.92 parent1[1]: (38) {G2,W6,D2,L2,V1,M2} R(31,33) { convergent_lines( X, skol2
% 42.54/42.92 ), convergent_lines( skol1, X ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := X
% 42.54/42.92 Y := skol1
% 42.54/42.92 end
% 42.54/42.92 substitution1:
% 42.54/42.92 X := X
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 subsumption: (66) {G3,W6,D2,L2,V1,M1} R(38,33) { convergent_lines( X, skol1
% 42.54/42.92 ), convergent_lines( X, skol2 ) }.
% 42.54/42.92 parent0: (11042) {G2,W6,D2,L2,V1,M2} { convergent_lines( X, skol1 ),
% 42.54/42.92 convergent_lines( X, skol2 ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := X
% 42.54/42.92 end
% 42.54/42.92 permutation0:
% 42.54/42.92 0 ==> 0
% 42.54/42.92 1 ==> 1
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 resolution: (11043) {G1,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ),
% 42.54/42.92 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 42.54/42.92 ( Z, Y ) }.
% 42.54/42.92 parent0[1]: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 42.54/42.92 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 42.54/42.92 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 42.54/42.92 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := X
% 42.54/42.92 Y := Y
% 42.54/42.92 end
% 42.54/42.92 substitution1:
% 42.54/42.92 X := Z
% 42.54/42.92 Y := Y
% 42.54/42.92 Z := intersection_point( X, Y )
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 subsumption: (81) {G1,W11,D3,L3,V3,M1} R(11,9) { distinct_points( X,
% 42.54/42.92 intersection_point( Y, Z ) ), ! convergent_lines( Y, Z ), !
% 42.54/42.92 apart_point_and_line( X, Z ) }.
% 42.54/42.92 parent0: (11043) {G1,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ),
% 42.54/42.92 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 42.54/42.92 ( Z, Y ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := Y
% 42.54/42.92 Y := Z
% 42.54/42.92 Z := X
% 42.54/42.92 end
% 42.54/42.92 permutation0:
% 42.54/42.92 0 ==> 1
% 42.54/42.92 1 ==> 0
% 42.54/42.92 2 ==> 2
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 resolution: (11044) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ), !
% 42.54/42.92 convergent_lines( Z, X ), convergent_lines( Z, Y ) }.
% 42.54/42.92 parent0[0]: (26) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 42.54/42.92 distinct_lines( X, Y ) }.
% 42.54/42.92 parent1[2]: (13) {G0,W9,D2,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 42.54/42.92 convergent_lines( X, Z ), distinct_lines( Y, Z ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := Y
% 42.54/42.92 Y := X
% 42.54/42.92 end
% 42.54/42.92 substitution1:
% 42.54/42.92 X := Z
% 42.54/42.92 Y := X
% 42.54/42.92 Z := Y
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 subsumption: (120) {G2,W9,D2,L3,V3,M1} R(13,26) { ! convergent_lines( X, Y
% 42.54/42.92 ), convergent_lines( X, Z ), distinct_lines( Z, Y ) }.
% 42.54/42.92 parent0: (11044) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ), !
% 42.54/42.92 convergent_lines( Z, X ), convergent_lines( Z, Y ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := Y
% 42.54/42.92 Y := Z
% 42.54/42.92 Z := X
% 42.54/42.92 end
% 42.54/42.92 permutation0:
% 42.54/42.92 0 ==> 2
% 42.54/42.92 1 ==> 0
% 42.54/42.92 2 ==> 1
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 resolution: (11045) {G1,W20,D3,L6,V3,M6} { ! convergent_lines( X, Y ), !
% 42.54/42.92 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( Y, X
% 42.54/42.92 ), ! convergent_lines( X, Y ), apart_point_and_line( Z, Y ),
% 42.54/42.92 apart_point_and_line( Z, X ) }.
% 42.54/42.92 parent0[1]: (9) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 42.54/42.92 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 42.54/42.92 parent1[3]: (48) {G1,W22,D3,L6,V4,M3} R(10,8) { ! distinct_points(
% 42.54/42.92 intersection_point( X, Y ), Z ), ! distinct_lines( T, X ), !
% 42.54/42.92 convergent_lines( X, Y ), apart_point_and_line( intersection_point( X, Y
% 42.54/42.92 ), T ), apart_point_and_line( Z, T ), apart_point_and_line( Z, X ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := X
% 42.54/42.92 Y := Y
% 42.54/42.92 end
% 42.54/42.92 substitution1:
% 42.54/42.92 X := X
% 42.54/42.92 Y := Y
% 42.54/42.92 Z := Z
% 42.54/42.92 T := Y
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 factor: (11052) {G1,W17,D3,L5,V3,M5} { ! convergent_lines( X, Y ), !
% 42.54/42.92 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( Y, X
% 42.54/42.92 ), apart_point_and_line( Z, Y ), apart_point_and_line( Z, X ) }.
% 42.54/42.92 parent0[0, 3]: (11045) {G1,W20,D3,L6,V3,M6} { ! convergent_lines( X, Y ),
% 42.54/42.92 ! distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( Y,
% 42.54/42.92 X ), ! convergent_lines( X, Y ), apart_point_and_line( Z, Y ),
% 42.54/42.92 apart_point_and_line( Z, X ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := X
% 42.54/42.92 Y := Y
% 42.54/42.92 Z := Z
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 subsumption: (582) {G2,W17,D3,L5,V3,M2} R(48,9);f { ! distinct_points(
% 42.54/42.92 intersection_point( X, Y ), Z ), ! convergent_lines( X, Y ), !
% 42.54/42.92 distinct_lines( Y, X ), apart_point_and_line( Z, X ),
% 42.54/42.92 apart_point_and_line( Z, Y ) }.
% 42.54/42.92 parent0: (11052) {G1,W17,D3,L5,V3,M5} { ! convergent_lines( X, Y ), !
% 42.54/42.92 distinct_points( intersection_point( X, Y ), Z ), ! distinct_lines( Y, X
% 42.54/42.92 ), apart_point_and_line( Z, Y ), apart_point_and_line( Z, X ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := X
% 42.54/42.92 Y := Y
% 42.54/42.92 Z := Z
% 42.54/42.92 end
% 42.54/42.92 permutation0:
% 42.54/42.92 0 ==> 1
% 42.54/42.92 1 ==> 0
% 42.54/42.92 2 ==> 2
% 42.54/42.92 3 ==> 4
% 42.54/42.92 4 ==> 3
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 resolution: (11055) {G1,W15,D3,L3,V1,M3} { distinct_points(
% 42.54/42.92 intersection_point( skol1, skol2 ), intersection_point( X, skol4 ) ), !
% 42.54/42.92 convergent_lines( X, skol4 ), apart_point_and_line( intersection_point(
% 42.54/42.92 skol1, skol2 ), skol3 ) }.
% 42.54/42.92 parent0[2]: (81) {G1,W11,D3,L3,V3,M1} R(11,9) { distinct_points( X,
% 42.54/42.92 intersection_point( Y, Z ) ), ! convergent_lines( Y, Z ), !
% 42.54/42.92 apart_point_and_line( X, Z ) }.
% 42.54/42.92 parent1[1]: (16) {G0,W10,D3,L2,V0,M1} I { apart_point_and_line(
% 42.54/42.92 intersection_point( skol1, skol2 ), skol3 ), apart_point_and_line(
% 42.54/42.92 intersection_point( skol1, skol2 ), skol4 ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := intersection_point( skol1, skol2 )
% 42.54/42.92 Y := X
% 42.54/42.92 Z := skol4
% 42.54/42.92 end
% 42.54/42.92 substitution1:
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 subsumption: (1308) {G2,W15,D3,L3,V1,M1} R(81,16) { ! convergent_lines( X,
% 42.54/42.92 skol4 ), distinct_points( intersection_point( skol1, skol2 ),
% 42.54/42.92 intersection_point( X, skol4 ) ), apart_point_and_line(
% 42.54/42.92 intersection_point( skol1, skol2 ), skol3 ) }.
% 42.54/42.92 parent0: (11055) {G1,W15,D3,L3,V1,M3} { distinct_points(
% 42.54/42.92 intersection_point( skol1, skol2 ), intersection_point( X, skol4 ) ), !
% 42.54/42.92 convergent_lines( X, skol4 ), apart_point_and_line( intersection_point(
% 42.54/42.92 skol1, skol2 ), skol3 ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := X
% 42.54/42.92 end
% 42.54/42.92 permutation0:
% 42.54/42.92 0 ==> 1
% 42.54/42.92 1 ==> 0
% 42.54/42.92 2 ==> 2
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 resolution: (11056) {G1,W18,D3,L4,V1,M4} { ! distinct_points(
% 42.54/42.92 intersection_point( skol1, X ), intersection_point( skol3, skol4 ) ), !
% 42.54/42.92 convergent_lines( skol1, X ), ! distinct_lines( X, skol1 ),
% 42.54/42.92 apart_point_and_line( intersection_point( skol3, skol4 ), X ) }.
% 42.54/42.92 parent0[0]: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 42.54/42.92 intersection_point( skol3, skol4 ), skol1 ) }.
% 42.54/42.92 parent1[3]: (582) {G2,W17,D3,L5,V3,M2} R(48,9);f { ! distinct_points(
% 42.54/42.92 intersection_point( X, Y ), Z ), ! convergent_lines( X, Y ), !
% 42.54/42.92 distinct_lines( Y, X ), apart_point_and_line( Z, X ),
% 42.54/42.92 apart_point_and_line( Z, Y ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 end
% 42.54/42.92 substitution1:
% 42.54/42.92 X := skol1
% 42.54/42.92 Y := X
% 42.54/42.92 Z := intersection_point( skol3, skol4 )
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 subsumption: (8939) {G3,W18,D3,L4,V1,M1} R(582,17) { ! convergent_lines(
% 42.54/42.92 skol1, X ), ! distinct_points( intersection_point( skol1, X ),
% 42.54/42.92 intersection_point( skol3, skol4 ) ), ! distinct_lines( X, skol1 ),
% 42.54/42.92 apart_point_and_line( intersection_point( skol3, skol4 ), X ) }.
% 42.54/42.92 parent0: (11056) {G1,W18,D3,L4,V1,M4} { ! distinct_points(
% 42.54/42.92 intersection_point( skol1, X ), intersection_point( skol3, skol4 ) ), !
% 42.54/42.92 convergent_lines( skol1, X ), ! distinct_lines( X, skol1 ),
% 42.54/42.92 apart_point_and_line( intersection_point( skol3, skol4 ), X ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := X
% 42.54/42.92 end
% 42.54/42.92 permutation0:
% 42.54/42.92 0 ==> 1
% 42.54/42.92 1 ==> 0
% 42.54/42.92 2 ==> 2
% 42.54/42.92 3 ==> 3
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 resolution: (11058) {G1,W18,D3,L4,V2,M4} { distinct_points(
% 42.54/42.92 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol3 )
% 42.54/42.92 , ! convergent_lines( Y, skol4 ), distinct_points( intersection_point(
% 42.54/42.92 skol1, skol2 ), intersection_point( Y, skol4 ) ) }.
% 42.54/42.92 parent0[2]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 42.54/42.92 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 42.54/42.92 parent1[2]: (1308) {G2,W15,D3,L3,V1,M1} R(81,16) { ! convergent_lines( X,
% 42.54/42.92 skol4 ), distinct_points( intersection_point( skol1, skol2 ),
% 42.54/42.92 intersection_point( X, skol4 ) ), apart_point_and_line(
% 42.54/42.92 intersection_point( skol1, skol2 ), skol3 ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := intersection_point( skol1, skol2 )
% 42.54/42.92 Y := skol3
% 42.54/42.92 Z := X
% 42.54/42.92 end
% 42.54/42.92 substitution1:
% 42.54/42.92 X := Y
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 subsumption: (9731) {G3,W18,D3,L4,V2,M1} R(1308,11) { ! convergent_lines( X
% 42.54/42.92 , skol4 ), distinct_points( intersection_point( skol1, skol2 ),
% 42.54/42.92 intersection_point( X, skol4 ) ), distinct_points( intersection_point(
% 42.54/42.92 skol1, skol2 ), Y ), apart_point_and_line( Y, skol3 ) }.
% 42.54/42.92 parent0: (11058) {G1,W18,D3,L4,V2,M4} { distinct_points(
% 42.54/42.92 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol3 )
% 42.54/42.92 , ! convergent_lines( Y, skol4 ), distinct_points( intersection_point(
% 42.54/42.92 skol1, skol2 ), intersection_point( Y, skol4 ) ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := Y
% 42.54/42.92 Y := X
% 42.54/42.92 end
% 42.54/42.92 permutation0:
% 42.54/42.92 0 ==> 2
% 42.54/42.92 1 ==> 3
% 42.54/42.92 2 ==> 0
% 42.54/42.92 3 ==> 1
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 factor: (11060) {G3,W15,D3,L3,V1,M3} { ! convergent_lines( X, skol4 ),
% 42.54/42.92 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 42.54/42.92 X, skol4 ) ), apart_point_and_line( intersection_point( X, skol4 ), skol3
% 42.54/42.92 ) }.
% 42.54/42.92 parent0[1, 2]: (9731) {G3,W18,D3,L4,V2,M1} R(1308,11) { ! convergent_lines
% 42.54/42.92 ( X, skol4 ), distinct_points( intersection_point( skol1, skol2 ),
% 42.54/42.92 intersection_point( X, skol4 ) ), distinct_points( intersection_point(
% 42.54/42.92 skol1, skol2 ), Y ), apart_point_and_line( Y, skol3 ) }.
% 42.54/42.92 substitution0:
% 42.54/42.92 X := X
% 42.54/42.92 Y := intersection_point( X, skol4 )
% 42.54/42.92 end
% 42.54/42.92
% 42.54/42.92 subsumption: (9732) {G4,W15,D3,L3,V1,M1} F(9731) { ! convergent_lines( X,
% 42.54/42.92 skol4 ), distinct_points( intersection_point( skol1, skol2 ),
% 42.54/42.93 intersection_point( X, skol4 ) ), apart_point_and_line(
% 42.54/42.93 intersection_point( X, skol4 ), skol3 ) }.
% 42.54/42.93 parent0: (11060) {G3,W15,D3,L3,V1,M3} { ! convergent_lines( X, skol4 ),
% 42.54/42.93 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 42.54/42.93 X, skol4 ) ), apart_point_and_line( intersection_point( X, skol4 ), skol3
% 42.54/42.93 ) }.
% 42.54/42.93 substitution0:
% 42.54/42.93 X := X
% 42.54/42.93 end
% 42.54/42.93 permutation0:
% 42.54/42.93 0 ==> 0
% 42.54/42.93 1 ==> 1
% 42.54/42.93 2 ==> 2
% 42.54/42.93 end
% 42.54/42.93
% 42.54/42.93 resolution: (11061) {G1,W13,D3,L3,V0,M3} { ! convergent_lines( skol3,
% 42.54/42.93 skol4 ), ! convergent_lines( skol3, skol4 ), distinct_points(
% 42.54/42.93 intersection_point( skol1, skol2 ), intersection_point( skol3, skol4 ) )
% 42.54/42.93 }.
% 42.54/42.93 parent0[1]: (8) {G0,W8,D3,L2,V2,M1} I { ! convergent_lines( X, Y ), !
% 42.54/42.93 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 42.54/42.93 parent1[2]: (9732) {G4,W15,D3,L3,V1,M1} F(9731) { ! convergent_lines( X,
% 42.54/42.93 skol4 ), distinct_points( intersection_point( skol1, skol2 ),
% 42.54/42.93 intersection_point( X, skol4 ) ), apart_point_and_line(
% 42.54/42.93 intersection_point( X, skol4 ), skol3 ) }.
% 42.54/42.93 substitution0:
% 42.54/42.93 X := skol3
% 42.54/42.93 Y := skol4
% 42.54/42.93 end
% 42.54/42.93 substitution1:
% 42.54/42.93 X := skol3
% 42.54/42.93 end
% 42.54/42.93
% 42.54/42.93 factor: (11062) {G1,W10,D3,L2,V0,M2} { ! convergent_lines( skol3, skol4 )
% 42.54/42.93 , distinct_points( intersection_point( skol1, skol2 ), intersection_point
% 42.54/42.93 ( skol3, skol4 ) ) }.
% 42.54/42.93 parent0[0, 1]: (11061) {G1,W13,D3,L3,V0,M3} { ! convergent_lines( skol3,
% 42.54/42.93 skol4 ), ! convergent_lines( skol3, skol4 ), distinct_points(
% 42.54/42.93 intersection_point( skol1, skol2 ), intersection_point( skol3, skol4 ) )
% 42.54/42.93 }.
% 42.54/42.93 substitution0:
% 42.54/42.93 end
% 42.54/42.93
% 42.54/42.93 resolution: (11064) {G1,W7,D3,L1,V0,M1} { distinct_points(
% 42.54/42.93 intersection_point( skol1, skol2 ), intersection_point( skol3, skol4 ) )
% 42.54/42.93 }.
% 42.54/42.93 parent0[0]: (11062) {G1,W10,D3,L2,V0,M2} { ! convergent_lines( skol3,
% 42.54/42.93 skol4 ), distinct_points( intersection_point( skol1, skol2 ),
% 42.54/42.93 intersection_point( skol3, skol4 ) ) }.
% 42.54/42.93 parent1[0]: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol4 )
% 42.54/42.93 }.
% 42.54/42.93 substitution0:
% 42.54/42.93 end
% 42.54/42.93 substitution1:
% 42.54/42.93 end
% 42.54/42.93
% 42.54/42.93 subsumption: (9785) {G5,W7,D3,L1,V0,M1} R(9732,8);f;r(15) { distinct_points
% 42.54/42.93 ( intersection_point( skol1, skol2 ), intersection_point( skol3, skol4 )
% 42.54/42.93 ) }.
% 42.54/42.93 parent0: (11064) {G1,W7,D3,L1,V0,M1} { distinct_points( intersection_point
% 42.54/42.93 ( skol1, skol2 ), intersection_point( skol3, skol4 ) ) }.
% 42.54/42.93 substitution0:
% 42.54/42.93 end
% 42.54/42.93 permutation0:
% 42.54/42.93 0 ==> 0
% 42.54/42.93 end
% 42.54/42.93
% 42.54/42.93 resolution: (11065) {G1,W13,D3,L3,V0,M3} { ! convergent_lines( skol1,
% 42.54/42.93 skol2 ), ! distinct_points( intersection_point( skol1, skol2 ),
% 42.54/42.93 intersection_point( skol3, skol4 ) ), ! distinct_lines( skol2, skol1 )
% 42.54/42.93 }.
% 42.54/42.93 parent0[0]: (18) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 42.54/42.93 intersection_point( skol3, skol4 ), skol2 ) }.
% 42.54/42.93 parent1[3]: (8939) {G3,W18,D3,L4,V1,M1} R(582,17) { ! convergent_lines(
% 42.54/42.93 skol1, X ), ! distinct_points( intersection_point( skol1, X ),
% 42.54/42.93 intersection_point( skol3, skol4 ) ), ! distinct_lines( X, skol1 ),
% 42.54/42.93 apart_point_and_line( intersection_point( skol3, skol4 ), X ) }.
% 42.54/42.93 substitution0:
% 42.54/42.93 end
% 42.54/42.93 substitution1:
% 42.54/42.93 X := skol2
% 42.54/42.93 end
% 42.54/42.93
% 42.54/42.93 resolution: (11066) {G1,W10,D3,L2,V0,M2} { ! distinct_points(
% 42.54/42.93 intersection_point( skol1, skol2 ), intersection_point( skol3, skol4 ) )
% 42.54/42.93 , ! distinct_lines( skol2, skol1 ) }.
% 42.54/42.93 parent0[0]: (11065) {G1,W13,D3,L3,V0,M3} { ! convergent_lines( skol1,
% 42.54/42.93 skol2 ), ! distinct_points( intersection_point( skol1, skol2 ),
% 42.54/42.93 intersection_point( skol3, skol4 ) ), ! distinct_lines( skol2, skol1 )
% 42.54/42.93 }.
% 42.54/42.93 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 42.54/42.93 }.
% 42.54/42.93 substitution0:
% 42.54/42.93 end
% 42.54/42.93 substitution1:
% 42.54/42.93 end
% 42.54/42.93
% 42.54/42.93 subsumption: (10464) {G4,W10,D3,L2,V0,M1} R(8939,18);r(14) { !
% 42.54/42.93 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 42.54/42.93 skol3, skol4 ) ), ! distinct_lines( skol2, skol1 ) }.
% 42.54/42.93 parent0: (11066) {G1,W10,D3,L2,V0,M2} { ! distinct_points(
% 42.54/42.93 intersection_point( skol1, skol2 ), intersection_point( skol3, skol4 ) )
% 42.54/42.93 , ! distinct_lines( skol2, skol1 ) }.
% 42.54/42.93 substitution0:
% 42.54/42.93 end
% 42.54/42.93 permutation0:
% 42.54/42.93 0 ==> 0
% 42.54/42.93 1 ==> 1
% 42.54/42.93 end
% 42.54/42.93
% 42.54/42.93 resolution: (11067) {G5,W3,D2,L1,V0,M1} { ! distinct_lines( skol2, skol1 )
% 42.54/42.93 }.
% 42.54/42.93 parent0[0]: (10464) {G4,W10,D3,L2,V0,M1} R(8939,18);r(14) { !
% 42.54/42.93 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 42.54/42.93 skol3, skol4 ) ), ! distinct_lines( skol2, skol1 ) }.
% 42.54/42.93 parent1[0]: (9785) {G5,W7,D3,L1,V0,M1} R(9732,8);f;r(15) { distinct_points
% 42.54/42.93 ( intersection_point( skol1, skol2 ), intersection_point( skol3, skol4 )
% 42.54/42.93 ) }.
% 42.54/42.93 substitution0:
% 42.54/42.93 end
% 42.54/42.93 substitution1:
% 42.54/42.93 end
% 42.54/42.93
% 42.54/42.93 subsumption: (10465) {G6,W3,D2,L1,V0,M1} S(10464);r(9785) { !
% 42.54/42.93 distinct_lines( skol2, skol1 ) }.
% 42.54/42.93 parent0: (11067) {G5,W3,D2,L1,V0,M1} { ! distinct_lines( skol2, skol1 )
% 42.54/42.93 }.
% 42.54/42.93 substitution0:
% 42.54/42.93 end
% 42.54/42.93 permutation0:
% 42.54/42.93 0 ==> 0
% 42.54/42.93 end
% 42.54/42.93
% 42.54/42.93 resolution: (11068) {G3,W6,D2,L2,V1,M2} { ! convergent_lines( X, skol1 ),
% 42.54/42.93 convergent_lines( X, skol2 ) }.
% 42.54/42.93 parent0[0]: (10465) {G6,W3,D2,L1,V0,M1} S(10464);r(9785) { ! distinct_lines
% 42.54/42.93 ( skol2, skol1 ) }.
% 42.54/42.93 parent1[2]: (120) {G2,W9,D2,L3,V3,M1} R(13,26) { ! convergent_lines( X, Y )
% 42.54/42.93 , convergent_lines( X, Z ), distinct_lines( Z, Y ) }.
% 42.54/42.93 substitution0:
% 42.54/42.93 end
% 42.54/42.93 substitution1:
% 42.54/42.93 X := X
% 42.54/42.93 Y := skol1
% 42.54/42.93 Z := skol2
% 42.54/42.93 end
% 42.54/42.93
% 42.54/42.93 resolution: (11069) {G4,W6,D2,L2,V1,M2} { convergent_lines( X, skol2 ),
% 42.54/42.93 convergent_lines( X, skol2 ) }.
% 42.54/42.93 parent0[0]: (11068) {G3,W6,D2,L2,V1,M2} { ! convergent_lines( X, skol1 ),
% 42.54/42.93 convergent_lines( X, skol2 ) }.
% 42.54/42.93 parent1[0]: (66) {G3,W6,D2,L2,V1,M1} R(38,33) { convergent_lines( X, skol1
% 42.54/42.93 ), convergent_lines( X, skol2 ) }.
% 42.54/42.93 substitution0:
% 42.54/42.93 X := X
% 42.54/42.93 end
% 42.54/42.93 substitution1:
% 42.54/42.93 X := X
% 42.54/42.93 end
% 42.54/42.93
% 42.54/42.93 factor: (11070) {G4,W3,D2,L1,V1,M1} { convergent_lines( X, skol2 ) }.
% 42.54/42.93 parent0[0, 1]: (11069) {G4,W6,D2,L2,V1,M2} { convergent_lines( X, skol2 )
% 42.54/42.93 , convergent_lines( X, skol2 ) }.
% 42.54/42.93 substitution0:
% 42.54/42.93 X := X
% 42.54/42.93 end
% 42.54/42.93
% 42.54/42.93 subsumption: (10832) {G7,W3,D2,L1,V1,M1} R(10465,120);r(66) {
% 42.54/42.93 convergent_lines( X, skol2 ) }.
% 42.54/42.93 parent0: (11070) {G4,W3,D2,L1,V1,M1} { convergent_lines( X, skol2 ) }.
% 42.54/42.93 substitution0:
% 42.54/42.93 X := X
% 42.54/42.93 end
% 42.54/42.93 permutation0:
% 42.54/42.93 0 ==> 0
% 42.54/42.93 end
% 42.54/42.93
% 42.54/42.93 resolution: (11071) {G1,W0,D0,L0,V0,M0} { }.
% 42.54/42.93 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 42.54/42.93 parent1[0]: (10832) {G7,W3,D2,L1,V1,M1} R(10465,120);r(66) {
% 42.54/42.93 convergent_lines( X, skol2 ) }.
% 42.54/42.93 substitution0:
% 42.54/42.93 X := skol2
% 42.54/42.93 end
% 42.54/42.93 substitution1:
% 42.54/42.93 X := skol2
% 42.54/42.93 end
% 42.54/42.93
% 42.54/42.93 subsumption: (10921) {G8,W0,D0,L0,V0,M0} R(10832,2) { }.
% 42.54/42.93 parent0: (11071) {G1,W0,D0,L0,V0,M0} { }.
% 42.54/42.93 substitution0:
% 42.54/42.93 end
% 42.54/42.93 permutation0:
% 42.54/42.93 end
% 42.54/42.93
% 42.54/42.93 Proof check complete!
% 42.54/42.93
% 42.54/42.93 Memory use:
% 42.54/42.93
% 42.54/42.93 space for terms: 181616
% 42.54/42.93 space for clauses: 372094
% 42.54/42.93
% 42.54/42.93
% 42.54/42.93 clauses generated: 4264489
% 42.54/42.93 clauses kept: 10922
% 42.54/42.93 clauses selected: 10039
% 42.54/42.93 clauses deleted: 280
% 42.54/42.93 clauses inuse deleted: 180
% 42.54/42.93
% 42.54/42.93 subsentry: 28116928
% 42.54/42.93 literals s-matched: 16255942
% 42.54/42.93 literals matched: 16255864
% 42.54/42.93 full subsumption: 15115555
% 42.54/42.93
% 42.54/42.93 checksum: -789897
% 42.54/42.93
% 42.54/42.93
% 42.54/42.93 Bliksem ended
%------------------------------------------------------------------------------