TSTP Solution File: GEO196+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO196+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 02:52:35 EDT 2022
% Result : Theorem 35.61s 35.97s
% Output : Refutation 35.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO196+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sat Jun 18 04:13:17 EDT 2022
% 0.13/0.33 % CPUTime :
% 35.61/35.97 *** allocated 10000 integers for termspace/termends
% 35.61/35.97 *** allocated 10000 integers for clauses
% 35.61/35.97 *** allocated 10000 integers for justifications
% 35.61/35.97 Bliksem 1.12
% 35.61/35.97
% 35.61/35.97
% 35.61/35.97 Automatic Strategy Selection
% 35.61/35.97
% 35.61/35.97
% 35.61/35.97 Clauses:
% 35.61/35.97
% 35.61/35.97 { ! distinct_points( X, X ) }.
% 35.61/35.97 { ! distinct_lines( X, X ) }.
% 35.61/35.97 { ! convergent_lines( X, X ) }.
% 35.61/35.97 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 35.61/35.97 ) }.
% 35.61/35.97 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 35.61/35.97 }.
% 35.61/35.97 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 35.61/35.97 , Z ) }.
% 35.61/35.97 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 35.61/35.97 , Y ) ), distinct_points( Z, X ) }.
% 35.61/35.97 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 35.61/35.97 , Y ) ), distinct_points( Z, Y ) }.
% 35.61/35.97 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, X ),
% 35.61/35.97 distinct_points( Z, intersection_point( X, Y ) ) }.
% 35.61/35.97 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, Y ),
% 35.61/35.97 distinct_points( Z, intersection_point( X, Y ) ) }.
% 35.61/35.97 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 35.61/35.97 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 35.61/35.97 apart_point_and_line( Y, T ) }.
% 35.61/35.97 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 35.61/35.97 apart_point_and_line( Z, Y ) }.
% 35.61/35.97 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 35.61/35.97 apart_point_and_line( X, Z ) }.
% 35.61/35.97 { ! convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 35.61/35.97 { convergent_lines( skol1, skol2 ) }.
% 35.61/35.97 { convergent_lines( skol3, skol4 ) }.
% 35.61/35.97 { ! apart_point_and_line( intersection_point( skol1, skol2 ), skol3 ) }.
% 35.61/35.97 { ! apart_point_and_line( intersection_point( skol1, skol2 ), skol4 ) }.
% 35.61/35.97 { apart_point_and_line( intersection_point( skol3, skol4 ), skol1 ),
% 35.61/35.97 apart_point_and_line( intersection_point( skol3, skol4 ), skol2 ) }.
% 35.61/35.97
% 35.61/35.97 percentage equality = 0.000000, percentage horn = 0.631579
% 35.61/35.97 This a non-horn, non-equality problem
% 35.61/35.97
% 35.61/35.97
% 35.61/35.97 Options Used:
% 35.61/35.97
% 35.61/35.97 useres = 1
% 35.61/35.97 useparamod = 0
% 35.61/35.97 useeqrefl = 0
% 35.61/35.97 useeqfact = 0
% 35.61/35.97 usefactor = 1
% 35.61/35.97 usesimpsplitting = 0
% 35.61/35.97 usesimpdemod = 0
% 35.61/35.97 usesimpres = 3
% 35.61/35.97
% 35.61/35.97 resimpinuse = 1000
% 35.61/35.97 resimpclauses = 20000
% 35.61/35.97 substype = standard
% 35.61/35.97 backwardsubs = 1
% 35.61/35.97 selectoldest = 5
% 35.61/35.97
% 35.61/35.97 litorderings [0] = split
% 35.61/35.97 litorderings [1] = liftord
% 35.61/35.97
% 35.61/35.97 termordering = none
% 35.61/35.97
% 35.61/35.97 litapriori = 1
% 35.61/35.97 termapriori = 0
% 35.61/35.97 litaposteriori = 0
% 35.61/35.97 termaposteriori = 0
% 35.61/35.97 demodaposteriori = 0
% 35.61/35.97 ordereqreflfact = 0
% 35.61/35.97
% 35.61/35.97 litselect = none
% 35.61/35.97
% 35.61/35.97 maxweight = 15
% 35.61/35.97 maxdepth = 30000
% 35.61/35.97 maxlength = 115
% 35.61/35.97 maxnrvars = 195
% 35.61/35.97 excuselevel = 1
% 35.61/35.97 increasemaxweight = 1
% 35.61/35.97
% 35.61/35.97 maxselected = 10000000
% 35.61/35.97 maxnrclauses = 10000000
% 35.61/35.97
% 35.61/35.97 showgenerated = 0
% 35.61/35.97 showkept = 0
% 35.61/35.97 showselected = 0
% 35.61/35.97 showdeleted = 0
% 35.61/35.97 showresimp = 1
% 35.61/35.97 showstatus = 2000
% 35.61/35.97
% 35.61/35.97 prologoutput = 0
% 35.61/35.97 nrgoals = 5000000
% 35.61/35.97 totalproof = 1
% 35.61/35.97
% 35.61/35.97 Symbols occurring in the translation:
% 35.61/35.97
% 35.61/35.97 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 35.61/35.97 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 35.61/35.97 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 35.61/35.97 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 35.61/35.97 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 35.61/35.97 distinct_points [36, 2] (w:1, o:45, a:1, s:1, b:0),
% 35.61/35.97 distinct_lines [37, 2] (w:1, o:46, a:1, s:1, b:0),
% 35.61/35.97 convergent_lines [38, 2] (w:1, o:44, a:1, s:1, b:0),
% 35.61/35.97 line_connecting [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 35.61/35.97 apart_point_and_line [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 35.61/35.97 intersection_point [43, 2] (w:1, o:49, a:1, s:1, b:0),
% 35.61/35.97 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 35.61/35.97 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 35.61/35.97 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 35.61/35.97 skol4 [49, 0] (w:1, o:14, a:1, s:1, b:0).
% 35.61/35.97
% 35.61/35.97
% 35.61/35.97 Starting Search:
% 35.61/35.97
% 35.61/35.97 *** allocated 15000 integers for clauses
% 35.61/35.97 *** allocated 22500 integers for clauses
% 35.61/35.97 *** allocated 33750 integers for clauses
% 35.61/35.97 *** allocated 15000 integers for termspace/termends
% 35.61/35.97 *** allocated 50625 integers for clauses
% 35.61/35.97 Resimplifying inuse:
% 35.61/35.97 Done
% 35.61/35.97
% 35.61/35.97 *** allocated 22500 integers for termspace/termends
% 35.61/35.97 *** allocated 75937 integers for clauses
% 35.61/35.97 *** allocated 33750 integers for termspace/termends
% 35.61/35.97
% 35.61/35.97 Intermediate Status:
% 35.61/35.97 Generated: 18563
% 35.61/35.97 Kept: 2011
% 35.61/35.97 Inuse: 290
% 35.61/35.97 Deleted: 0
% 35.61/35.97 Deletedinuse: 0
% 35.61/35.97
% 35.61/35.97 Resimplifying inuse:
% 35.61/35.97 Done
% 35.61/35.97
% 35.61/35.97 *** allocated 113905 integers for clauses
% 35.61/35.97 *** allocated 50625 integers for termspace/termends
% 35.61/35.97 Resimplifying inuse:
% 35.61/35.97 Done
% 35.61/35.97
% 35.61/35.97 Failed to find proof!
% 35.61/35.97 maxweight = 15
% 35.61/35.97 maxnrclauses = 10000000
% 35.61/35.97 Generated: 353667
% 35.61/35.97 Kept: 2962
% 35.61/35.97
% 35.61/35.97
% 35.61/35.97 The strategy used was not complete!
% 35.61/35.97
% 35.61/35.97 Increased maxweight to 16
% 35.61/35.97
% 35.61/35.97 Starting Search:
% 35.61/35.97
% 35.61/35.97 Resimplifying inuse:
% 35.61/35.97 Done
% 35.61/35.97
% 35.61/35.97
% 35.61/35.97 Intermediate Status:
% 35.61/35.97 Generated: 18563
% 35.61/35.97 Kept: 2011
% 35.61/35.97 Inuse: 290
% 35.61/35.97 Deleted: 0
% 35.61/35.97 Deletedinuse: 0
% 35.61/35.97
% 35.61/35.97 Resimplifying inuse:
% 35.61/35.97 Done
% 35.61/35.97
% 35.61/35.97 Resimplifying inuse:
% 35.61/35.97 Done
% 35.61/35.97
% 35.61/35.97 *** allocated 170857 integers for clauses
% 35.61/35.97 Resimplifying inuse:
% 35.61/35.97 Done
% 35.61/35.97
% 35.61/35.97 Failed to find proof!
% 35.61/35.97 maxweight = 16
% 35.61/35.97 maxnrclauses = 10000000
% 35.61/35.97 Generated: 385817
% 35.61/35.97 Kept: 3442
% 35.61/35.97
% 35.61/35.97
% 35.61/35.97 The strategy used was not complete!
% 35.61/35.97
% 35.61/35.97 Increased maxweight to 17
% 35.61/35.97
% 35.61/35.97 Starting Search:
% 35.61/35.97
% 35.61/35.97 Resimplifying inuse:
% 35.61/35.97 Done
% 35.61/35.97
% 35.61/35.97
% 35.61/35.97 Intermediate Status:
% 35.61/35.97 Generated: 18450
% 35.61/35.97 Kept: 2004
% 35.61/35.97 Inuse: 289
% 35.61/35.97 Deleted: 0
% 35.61/35.97 Deletedinuse: 0
% 35.61/35.97
% 35.61/35.97 Resimplifying inuse:
% 35.61/35.97 Done
% 35.61/35.97
% 35.61/35.97 Resimplifying inuse:
% 35.61/35.97 Done
% 35.61/35.97
% 35.61/35.97 *** allocated 75937 integers for termspace/termends
% 35.61/35.97
% 35.61/35.97 Intermediate Status:
% 35.61/35.97 Generated: 42836
% 35.61/35.97 Kept: 4010
% 35.61/35.97 Inuse: 548
% 35.61/35.97 Deleted: 1
% 35.61/35.97 Deletedinuse: 0
% 35.61/35.97
% 35.61/35.97 Resimplifying inuse:
% 35.61/35.97 Done
% 35.61/35.97
% 35.61/35.97 Resimplifying inuse:
% 35.61/35.97 Done
% 35.61/35.97
% 35.61/35.97 Failed to find proof!
% 35.61/35.97 maxweight = 17
% 35.61/35.97 maxnrclauses = 10000000
% 35.61/35.97 Generated: 1027705
% 35.61/35.97 Kept: 4746
% 35.61/35.97
% 35.61/35.97
% 35.61/35.97 The strategy used was not complete!
% 35.61/35.97
% 35.61/35.97 Increased maxweight to 18
% 35.61/35.97
% 35.61/35.97 Starting Search:
% 35.61/35.97
% 35.61/35.97 Resimplifying inuse:
% 35.61/35.97 Done
% 35.61/35.97
% 35.61/35.97
% 35.61/35.97 Intermediate Status:
% 35.61/35.97 Generated: 18285
% 35.61/35.97 Kept: 2004
% 35.61/35.97 Inuse: 267
% 35.61/35.97 Deleted: 0
% 35.61/35.97 Deletedinuse: 0
% 35.61/35.97
% 35.61/35.97 Resimplifying inuse:
% 35.61/35.97 Done
% 35.61/35.97
% 35.61/35.97 Resimplifying inuse:
% 35.61/35.97 Done
% 35.61/35.97
% 35.61/35.97
% 35.61/35.97 Intermediate Status:
% 35.61/35.97 Generated: 36772
% 35.61/35.97 Kept: 4016
% 35.61/35.97 Inuse: 437
% 35.61/35.97 Deleted: 0
% 35.61/35.97 Deletedinuse: 0
% 35.61/35.97
% 35.61/35.97 Resimplifying inuse:
% 35.61/35.97 Done
% 35.61/35.97
% 35.61/35.97 *** allocated 113905 integers for termspace/termends
% 35.61/35.97 *** allocated 256285 integers for clauses
% 35.61/35.97 Resimplifying inuse:
% 35.61/35.97 Done
% 35.61/35.97
% 35.61/35.97
% 35.61/35.97 Intermediate Status:
% 35.61/35.97 Generated: 71710
% 35.61/35.97 Kept: 6134
% 35.61/35.97 Inuse: 595
% 35.61/35.97 Deleted: 1
% 35.61/35.97 Deletedinuse: 0
% 35.61/35.97
% 35.61/35.97 Resimplifying inuse:
% 35.61/35.97 Done
% 35.61/35.97
% 35.61/35.97 *** allocated 170857 integers for termspace/termends
% 35.61/35.97 Resimplifying inuse:
% 35.61/35.97 Done
% 35.61/35.97
% 35.61/35.97 *** allocated 384427 integers for clauses
% 35.61/35.97
% 35.61/35.97 Intermediate Status:
% 35.61/35.97 Generated: 174042
% 35.61/35.97 Kept: 8141
% 35.61/35.97 Inuse: 900
% 35.61/35.97 Deleted: 3
% 35.61/35.97 Deletedinuse: 0
% 35.61/35.97
% 35.61/35.97 Resimplifying inuse:
% 35.61/35.97 Done
% 35.61/35.97
% 35.61/35.97 Resimplifying inuse:
% 35.61/35.97 Done
% 35.61/35.97
% 35.61/35.97
% 35.61/35.97 Intermediate Status:
% 35.61/35.97 Generated: 3056698
% 35.61/35.97 Kept: 10182
% 35.61/35.97 Inuse: 9499
% 35.61/35.97 Deleted: 75
% 35.61/35.97 Deletedinuse: 0
% 35.61/35.97
% 35.61/35.97 Resimplifying inuse:
% 35.61/35.97 Done
% 35.61/35.97
% 35.61/35.97 *** allocated 256285 integers for termspace/termends
% 35.61/35.97
% 35.61/35.97 Bliksems!, er is een bewijs:
% 35.61/35.97 % SZS status Theorem
% 35.61/35.97 % SZS output start Refutation
% 35.61/35.97
% 35.61/35.97 (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 35.61/35.97 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 35.61/35.97 (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 35.61/35.97 (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 35.61/35.97 ), ! distinct_points( X, Y ) }.
% 35.61/35.97 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 35.61/35.97 , ! distinct_lines( X, Y ) }.
% 35.61/35.97 (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), convergent_lines( Y,
% 35.61/35.97 Z ), ! convergent_lines( X, Y ) }.
% 35.61/35.97 (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), distinct_points( Z
% 35.61/35.97 , intersection_point( X, Y ) ), ! apart_point_and_line( Z, X ) }.
% 35.61/35.97 (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), distinct_points( Z
% 35.61/35.97 , intersection_point( X, Y ) ), ! apart_point_and_line( Z, Y ) }.
% 35.61/35.97 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 35.61/35.97 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 35.61/35.97 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 35.61/35.97 (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 35.61/35.97 ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 35.61/35.97 (13) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ), distinct_lines( X
% 35.61/35.97 , Y ) }.
% 35.61/35.97 (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 ) }.
% 35.61/35.97 (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol4 ) }.
% 35.61/35.97 (16) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( intersection_point(
% 35.61/35.97 skol1, skol2 ), skol3 ) }.
% 35.61/35.97 (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( intersection_point(
% 35.61/35.97 skol1, skol2 ), skol4 ) }.
% 35.61/35.97 (18) {G0,W10,D3,L2,V0,M1} I { apart_point_and_line( intersection_point(
% 35.61/35.97 skol3, skol4 ), skol1 ), apart_point_and_line( intersection_point( skol3
% 35.61/35.97 , skol4 ), skol2 ) }.
% 35.61/35.97 (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 35.61/35.97 distinct_points( X, Y ) }.
% 35.61/35.97 (27) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 35.61/35.97 ( X, Y ) }.
% 35.61/35.97 (30) {G2,W6,D2,L2,V2,M1} R(27,13) { ! convergent_lines( Y, X ),
% 35.61/35.97 distinct_lines( X, Y ) }.
% 35.61/35.97 (47) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 35.61/35.97 convergent_lines( X, Y ) }.
% 35.61/35.97 (51) {G2,W3,D2,L1,V0,M1} R(47,15) { convergent_lines( skol4, skol3 ) }.
% 35.61/35.97 (111) {G1,W19,D3,L5,V2,M3} R(10,16) { ! distinct_points( intersection_point
% 35.61/35.97 ( skol1, skol2 ), X ), ! distinct_lines( skol3, Y ), apart_point_and_line
% 35.61/35.97 ( X, skol3 ), apart_point_and_line( X, Y ), apart_point_and_line(
% 35.61/35.97 intersection_point( skol1, skol2 ), Y ) }.
% 35.61/35.97 (137) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y ), !
% 35.61/35.97 convergent_lines( T, Z ), distinct_points( Y, intersection_point( T, Z )
% 35.61/35.97 ), ! apart_point_and_line( X, Z ) }.
% 35.61/35.97 (138) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y ), !
% 35.61/35.97 convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z, T )
% 35.61/35.97 ), ! apart_point_and_line( X, Z ) }.
% 35.61/35.97 (142) {G1,W8,D3,L2,V1,M1} R(11,17) { distinct_points( X, intersection_point
% 35.61/35.97 ( skol1, skol2 ) ), ! apart_point_and_line( X, skol4 ) }.
% 35.61/35.97 (145) {G2,W8,D3,L2,V2,M1} F(138);r(0) { ! convergent_lines( X, Y ), !
% 35.61/35.97 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 35.61/35.97 (146) {G2,W8,D3,L2,V2,M1} F(137);r(0) { ! convergent_lines( X, Y ), !
% 35.61/35.97 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 35.61/35.97 (153) {G1,W15,D3,L3,V1,M1} R(18,9) { ! convergent_lines( X, skol2 ),
% 35.61/35.97 distinct_points( intersection_point( skol3, skol4 ), intersection_point(
% 35.61/35.97 X, skol2 ) ), apart_point_and_line( intersection_point( skol3, skol4 ),
% 35.61/35.97 skol1 ) }.
% 35.61/35.97 (2243) {G2,W14,D3,L4,V1,M1} R(111,142);r(0) { ! distinct_points(
% 35.61/35.97 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol3, skol4 )
% 35.61/35.97 , apart_point_and_line( X, skol3 ), apart_point_and_line( X, skol4 ) }.
% 35.61/35.97 (4088) {G2,W18,D3,L4,V2,M1} R(153,11) { ! convergent_lines( X, skol2 ),
% 35.61/35.97 distinct_points( intersection_point( skol3, skol4 ), intersection_point(
% 35.61/35.97 X, skol2 ) ), distinct_points( intersection_point( skol3, skol4 ), Y ),
% 35.61/35.97 apart_point_and_line( Y, skol1 ) }.
% 35.61/35.97 (4090) {G3,W15,D3,L3,V1,M1} F(4088) { ! convergent_lines( X, skol2 ),
% 35.61/35.97 distinct_points( intersection_point( skol3, skol4 ), intersection_point(
% 35.61/35.97 X, skol2 ) ), apart_point_and_line( intersection_point( X, skol2 ), skol1
% 35.61/35.97 ) }.
% 35.61/35.97 (8925) {G3,W18,D3,L4,V1,M1} R(2243,146) { ! distinct_points(
% 35.61/35.97 intersection_point( skol1, skol2 ), intersection_point( X, skol4 ) ), !
% 35.61/35.97 distinct_lines( skol3, skol4 ), ! convergent_lines( X, skol4 ),
% 35.61/35.97 apart_point_and_line( intersection_point( X, skol4 ), skol3 ) }.
% 35.61/35.97 (9261) {G4,W7,D3,L1,V0,M1} R(4090,145);f;r(14) { distinct_points(
% 35.61/35.97 intersection_point( skol3, skol4 ), intersection_point( skol1, skol2 ) )
% 35.61/35.97 }.
% 35.61/35.97 (9291) {G5,W7,D3,L1,V0,M1} R(9261,21) { distinct_points( intersection_point
% 35.61/35.97 ( skol1, skol2 ), intersection_point( skol3, skol4 ) ) }.
% 35.61/35.97 (10495) {G6,W6,D2,L2,V0,M1} R(8925,145);f;r(9291) { ! convergent_lines(
% 35.61/35.97 skol3, skol4 ), ! distinct_lines( skol3, skol4 ) }.
% 35.61/35.97 (10496) {G7,W3,D2,L1,V0,M1} S(10495);r(15) { ! distinct_lines( skol3, skol4
% 35.61/35.97 ) }.
% 35.61/35.97 (11007) {G8,W0,D0,L0,V0,M0} R(10496,30);r(51) { }.
% 35.61/35.97
% 35.61/35.97
% 35.61/35.97 % SZS output end Refutation
% 35.61/35.97 found a proof!
% 35.61/35.97
% 35.61/35.97
% 35.61/35.97 Unprocessed initial clauses:
% 35.61/35.97
% 35.61/35.97 (11009) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 35.61/35.97 (11010) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 35.61/35.97 (11011) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 35.61/35.97 (11012) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points(
% 35.61/35.97 X, Z ), distinct_points( Y, Z ) }.
% 35.61/35.97 (11013) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X
% 35.61/35.97 , Z ), distinct_lines( Y, Z ) }.
% 35.61/35.97 (11014) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 35.61/35.97 ( X, Z ), convergent_lines( Y, Z ) }.
% 35.61/35.97 (11015) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 35.61/35.97 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 35.61/35.97 ) }.
% 35.61/35.97 (11016) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 35.61/35.97 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 35.61/35.97 ) }.
% 35.61/35.97 (11017) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 35.61/35.97 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 35.61/35.97 Y ) ) }.
% 35.61/35.97 (11018) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 35.61/35.97 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 35.61/35.97 Y ) ) }.
% 35.61/35.97 (11019) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 35.61/35.97 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 35.61/35.97 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 35.61/35.97 (11020) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 35.61/35.97 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 35.61/35.97 (11021) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 35.61/35.97 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 35.61/35.97 (11022) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ), distinct_lines(
% 35.61/35.97 X, Y ) }.
% 35.61/35.97 (11023) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 35.61/35.97 (11024) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol4 ) }.
% 35.61/35.97 (11025) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( intersection_point(
% 35.61/35.97 skol1, skol2 ), skol3 ) }.
% 35.61/35.97 (11026) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( intersection_point(
% 35.61/35.97 skol1, skol2 ), skol4 ) }.
% 35.61/35.97 (11027) {G0,W10,D3,L2,V0,M2} { apart_point_and_line( intersection_point(
% 35.61/35.97 skol3, skol4 ), skol1 ), apart_point_and_line( intersection_point( skol3
% 35.61/35.97 , skol4 ), skol2 ) }.
% 35.61/35.97
% 35.61/35.97
% 35.61/35.97 Total Proof:
% 35.61/35.97
% 35.61/35.97 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 35.61/35.97 parent0: (11009) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 35.61/35.97 substitution0:
% 35.61/35.97 X := X
% 35.61/35.97 end
% 35.61/35.97 permutation0:
% 35.61/35.97 0 ==> 0
% 35.61/35.97 end
% 35.61/35.97
% 35.61/35.97 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 35.61/35.97 parent0: (11010) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 35.61/35.97 substitution0:
% 35.61/35.97 X := X
% 35.61/35.97 end
% 35.61/35.97 permutation0:
% 35.61/35.97 0 ==> 0
% 35.61/35.97 end
% 35.61/35.97
% 35.61/35.97 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 35.61/35.97 parent0: (11011) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 35.61/35.97 substitution0:
% 35.61/35.97 X := X
% 35.61/35.97 end
% 35.61/35.97 permutation0:
% 35.61/35.97 0 ==> 0
% 35.61/35.97 end
% 35.61/35.97
% 35.61/35.97 subsumption: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 35.61/35.97 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 35.61/35.97 parent0: (11012) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ),
% 35.61/35.97 distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 35.61/35.97 substitution0:
% 35.61/35.97 X := X
% 35.61/35.97 Y := Y
% 35.61/35.97 Z := Z
% 35.61/35.97 end
% 35.61/35.97 permutation0:
% 35.61/35.97 0 ==> 2
% 35.61/35.97 1 ==> 0
% 35.61/35.97 2 ==> 1
% 35.61/35.97 end
% 35.61/35.97
% 35.61/35.97 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 35.61/35.97 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 35.61/35.97 parent0: (11013) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 35.61/35.97 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 35.61/35.97 substitution0:
% 35.61/35.97 X := X
% 35.61/35.97 Y := Y
% 35.61/35.97 Z := Z
% 35.61/35.97 end
% 35.61/35.97 permutation0:
% 35.61/35.97 0 ==> 2
% 35.61/35.97 1 ==> 0
% 35.61/35.97 2 ==> 1
% 35.61/35.97 end
% 35.61/35.97
% 35.61/35.97 subsumption: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 35.61/35.97 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 35.61/35.97 parent0: (11014) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 35.61/35.97 convergent_lines( X, Z ), convergent_lines( Y, Z ) }.
% 35.61/35.97 substitution0:
% 35.61/35.97 X := X
% 35.61/35.97 Y := Y
% 35.61/35.97 Z := Z
% 35.61/35.97 end
% 35.61/35.97 permutation0:
% 35.61/35.97 0 ==> 2
% 35.61/35.97 1 ==> 0
% 35.61/35.97 2 ==> 1
% 35.61/35.97 end
% 35.61/35.97
% 35.61/35.97 subsumption: (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 35.61/35.97 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 35.61/35.97 ( Z, X ) }.
% 35.61/35.97 parent0: (11017) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 35.61/35.97 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 35.61/35.97 Y ) ) }.
% 35.61/35.97 substitution0:
% 35.61/35.97 X := X
% 35.61/35.97 Y := Y
% 35.61/35.97 Z := Z
% 35.61/35.97 end
% 35.61/35.97 permutation0:
% 35.61/35.97 0 ==> 0
% 35.61/35.97 1 ==> 2
% 35.61/35.97 2 ==> 1
% 35.61/35.97 end
% 35.61/35.97
% 35.61/35.97 subsumption: (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 35.61/35.97 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 35.61/35.97 ( Z, Y ) }.
% 35.61/35.97 parent0: (11018) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 35.61/35.97 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 35.61/35.97 Y ) ) }.
% 35.61/35.97 substitution0:
% 35.61/35.97 X := X
% 35.61/35.97 Y := Y
% 35.61/35.97 Z := Z
% 35.61/35.97 end
% 35.61/35.97 permutation0:
% 35.61/35.97 0 ==> 0
% 35.61/35.97 1 ==> 2
% 35.61/35.97 2 ==> 1
% 35.61/35.97 end
% 35.61/35.97
% 35.61/35.97 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 35.61/35.97 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 35.61/35.97 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 35.61/35.97 apart_point_and_line( X, Z ) }.
% 35.61/35.97 parent0: (11019) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 35.61/35.97 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 35.61/35.97 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 35.61/35.97 apart_point_and_line( Y, T ) }.
% 35.61/35.97 substitution0:
% 35.61/35.97 X := X
% 35.61/35.97 Y := Y
% 35.61/35.97 Z := Z
% 35.61/35.97 T := T
% 35.61/35.97 end
% 35.61/35.97 permutation0:
% 35.61/35.97 0 ==> 0
% 35.61/35.97 1 ==> 1
% 35.61/35.97 2 ==> 5
% 35.61/35.97 3 ==> 2
% 35.61/35.97 4 ==> 3
% 35.61/35.97 5 ==> 4
% 35.61/35.97 end
% 35.61/35.97
% 35.61/35.97 subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 35.61/35.97 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 35.61/35.97 parent0: (11020) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 35.61/35.97 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 35.61/35.97 substitution0:
% 35.61/35.97 X := X
% 35.61/35.97 Y := Y
% 35.61/35.97 Z := Z
% 35.61/35.97 end
% 35.61/35.97 permutation0:
% 35.61/35.97 0 ==> 2
% 35.61/35.97 1 ==> 0
% 35.61/35.97 2 ==> 1
% 35.61/35.97 end
% 35.61/35.97
% 35.61/35.97 subsumption: (13) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ),
% 35.61/35.97 distinct_lines( X, Y ) }.
% 35.61/35.97 parent0: (11022) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 35.61/35.97 distinct_lines( X, Y ) }.
% 35.61/35.97 substitution0:
% 35.61/35.97 X := X
% 35.61/35.97 Y := Y
% 35.61/35.97 end
% 35.61/35.97 permutation0:
% 35.61/35.97 0 ==> 0
% 35.61/35.97 1 ==> 1
% 35.61/35.97 end
% 35.61/35.97
% 35.61/35.97 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 35.61/35.97 }.
% 35.61/35.97 parent0: (11023) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 )
% 35.61/35.97 }.
% 35.61/35.97 substitution0:
% 35.61/35.97 end
% 35.61/35.97 permutation0:
% 35.61/35.97 0 ==> 0
% 35.61/35.97 end
% 35.61/35.97
% 35.61/35.97 subsumption: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol4 )
% 35.61/35.97 }.
% 35.61/35.97 parent0: (11024) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol4 )
% 35.61/35.97 }.
% 35.61/35.97 substitution0:
% 35.61/35.97 end
% 35.61/35.97 permutation0:
% 35.61/35.97 0 ==> 0
% 35.61/35.97 end
% 35.61/35.97
% 35.61/35.97 subsumption: (16) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 35.61/35.97 intersection_point( skol1, skol2 ), skol3 ) }.
% 35.61/35.97 parent0: (11025) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line(
% 35.61/35.97 intersection_point( skol1, skol2 ), skol3 ) }.
% 35.61/35.97 substitution0:
% 35.61/35.97 end
% 35.61/35.97 permutation0:
% 35.61/35.97 0 ==> 0
% 35.61/35.97 end
% 35.61/35.97
% 35.61/35.97 subsumption: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 35.61/35.97 intersection_point( skol1, skol2 ), skol4 ) }.
% 35.61/35.97 parent0: (11026) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line(
% 35.61/35.97 intersection_point( skol1, skol2 ), skol4 ) }.
% 35.61/35.97 substitution0:
% 35.61/35.97 end
% 35.61/35.97 permutation0:
% 35.61/35.97 0 ==> 0
% 35.61/35.97 end
% 35.61/35.97
% 35.61/35.97 subsumption: (18) {G0,W10,D3,L2,V0,M1} I { apart_point_and_line(
% 35.61/35.97 intersection_point( skol3, skol4 ), skol1 ), apart_point_and_line(
% 35.61/35.97 intersection_point( skol3, skol4 ), skol2 ) }.
% 35.61/35.97 parent0: (11027) {G0,W10,D3,L2,V0,M2} { apart_point_and_line(
% 35.61/35.97 intersection_point( skol3, skol4 ), skol1 ), apart_point_and_line(
% 35.61/35.97 intersection_point( skol3, skol4 ), skol2 ) }.
% 35.61/35.97 substitution0:
% 35.61/35.97 end
% 35.61/35.97 permutation0:
% 35.61/35.97 0 ==> 0
% 35.61/35.97 1 ==> 1
% 35.61/35.97 end
% 35.61/35.97
% 35.61/35.97 resolution: (11112) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 35.61/35.97 distinct_points( X, Y ) }.
% 35.61/35.97 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 35.61/35.97 parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 35.61/35.97 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 35.61/35.97 substitution0:
% 35.61/35.97 X := X
% 35.61/35.97 end
% 35.61/35.97 substitution1:
% 35.61/35.97 X := X
% 35.61/35.97 Y := Y
% 35.61/35.97 Z := X
% 35.61/35.97 end
% 35.61/35.97
% 35.61/35.97 subsumption: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 35.61/35.98 distinct_points( X, Y ) }.
% 35.61/35.98 parent0: (11112) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 35.61/35.98 distinct_points( X, Y ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := Y
% 35.61/35.98 Y := X
% 35.61/35.98 end
% 35.61/35.98 permutation0:
% 35.61/35.98 0 ==> 1
% 35.61/35.98 1 ==> 0
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 resolution: (11114) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 35.61/35.98 distinct_lines( X, Y ) }.
% 35.61/35.98 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 35.61/35.98 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 35.61/35.98 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := X
% 35.61/35.98 end
% 35.61/35.98 substitution1:
% 35.61/35.98 X := X
% 35.61/35.98 Y := Y
% 35.61/35.98 Z := X
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 subsumption: (27) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 35.61/35.98 distinct_lines( X, Y ) }.
% 35.61/35.98 parent0: (11114) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 35.61/35.98 distinct_lines( X, Y ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := Y
% 35.61/35.98 Y := X
% 35.61/35.98 end
% 35.61/35.98 permutation0:
% 35.61/35.98 0 ==> 1
% 35.61/35.98 1 ==> 0
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 resolution: (11116) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 35.61/35.98 convergent_lines( X, Y ) }.
% 35.61/35.98 parent0[0]: (27) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 35.61/35.98 distinct_lines( X, Y ) }.
% 35.61/35.98 parent1[1]: (13) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ),
% 35.61/35.98 distinct_lines( X, Y ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := Y
% 35.61/35.98 Y := X
% 35.61/35.98 end
% 35.61/35.98 substitution1:
% 35.61/35.98 X := X
% 35.61/35.98 Y := Y
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 subsumption: (30) {G2,W6,D2,L2,V2,M1} R(27,13) { ! convergent_lines( Y, X )
% 35.61/35.98 , distinct_lines( X, Y ) }.
% 35.61/35.98 parent0: (11116) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 35.61/35.98 convergent_lines( X, Y ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := Y
% 35.61/35.98 Y := X
% 35.61/35.98 end
% 35.61/35.98 permutation0:
% 35.61/35.98 0 ==> 1
% 35.61/35.98 1 ==> 0
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 resolution: (11117) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 35.61/35.98 convergent_lines( X, Y ) }.
% 35.61/35.98 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 35.61/35.98 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 35.61/35.98 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := X
% 35.61/35.98 end
% 35.61/35.98 substitution1:
% 35.61/35.98 X := X
% 35.61/35.98 Y := Y
% 35.61/35.98 Z := X
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 subsumption: (47) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 35.61/35.98 convergent_lines( X, Y ) }.
% 35.61/35.98 parent0: (11117) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 35.61/35.98 convergent_lines( X, Y ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := Y
% 35.61/35.98 Y := X
% 35.61/35.98 end
% 35.61/35.98 permutation0:
% 35.61/35.98 0 ==> 1
% 35.61/35.98 1 ==> 0
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 resolution: (11119) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol4, skol3 )
% 35.61/35.98 }.
% 35.61/35.98 parent0[0]: (47) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 35.61/35.98 convergent_lines( X, Y ) }.
% 35.61/35.98 parent1[0]: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol4 )
% 35.61/35.98 }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := skol4
% 35.61/35.98 Y := skol3
% 35.61/35.98 end
% 35.61/35.98 substitution1:
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 subsumption: (51) {G2,W3,D2,L1,V0,M1} R(47,15) { convergent_lines( skol4,
% 35.61/35.98 skol3 ) }.
% 35.61/35.98 parent0: (11119) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol4, skol3 )
% 35.61/35.98 }.
% 35.61/35.98 substitution0:
% 35.61/35.98 end
% 35.61/35.98 permutation0:
% 35.61/35.98 0 ==> 0
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 resolution: (11123) {G1,W19,D3,L5,V2,M5} { ! distinct_points(
% 35.61/35.98 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol3, Y ),
% 35.61/35.98 apart_point_and_line( intersection_point( skol1, skol2 ), Y ),
% 35.61/35.98 apart_point_and_line( X, skol3 ), apart_point_and_line( X, Y ) }.
% 35.61/35.98 parent0[0]: (16) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 35.61/35.98 intersection_point( skol1, skol2 ), skol3 ) }.
% 35.61/35.98 parent1[5]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 35.61/35.98 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 35.61/35.98 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 35.61/35.98 apart_point_and_line( X, Z ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 end
% 35.61/35.98 substitution1:
% 35.61/35.98 X := intersection_point( skol1, skol2 )
% 35.61/35.98 Y := X
% 35.61/35.98 Z := skol3
% 35.61/35.98 T := Y
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 subsumption: (111) {G1,W19,D3,L5,V2,M3} R(10,16) { ! distinct_points(
% 35.61/35.98 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol3, Y ),
% 35.61/35.98 apart_point_and_line( X, skol3 ), apart_point_and_line( X, Y ),
% 35.61/35.98 apart_point_and_line( intersection_point( skol1, skol2 ), Y ) }.
% 35.61/35.98 parent0: (11123) {G1,W19,D3,L5,V2,M5} { ! distinct_points(
% 35.61/35.98 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol3, Y ),
% 35.61/35.98 apart_point_and_line( intersection_point( skol1, skol2 ), Y ),
% 35.61/35.98 apart_point_and_line( X, skol3 ), apart_point_and_line( X, Y ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := X
% 35.61/35.98 Y := Y
% 35.61/35.98 end
% 35.61/35.98 permutation0:
% 35.61/35.98 0 ==> 0
% 35.61/35.98 1 ==> 1
% 35.61/35.98 2 ==> 4
% 35.61/35.98 3 ==> 2
% 35.61/35.98 4 ==> 3
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 resolution: (11129) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 35.61/35.98 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 35.61/35.98 , ! apart_point_and_line( T, Y ) }.
% 35.61/35.98 parent0[2]: (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 35.61/35.98 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 35.61/35.98 ( Z, Y ) }.
% 35.61/35.98 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 35.61/35.98 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := X
% 35.61/35.98 Y := Y
% 35.61/35.98 Z := Z
% 35.61/35.98 end
% 35.61/35.98 substitution1:
% 35.61/35.98 X := T
% 35.61/35.98 Y := Y
% 35.61/35.98 Z := Z
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 subsumption: (137) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y ),
% 35.61/35.98 ! convergent_lines( T, Z ), distinct_points( Y, intersection_point( T, Z
% 35.61/35.98 ) ), ! apart_point_and_line( X, Z ) }.
% 35.61/35.98 parent0: (11129) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 35.61/35.98 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 35.61/35.98 , ! apart_point_and_line( T, Y ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := T
% 35.61/35.98 Y := Z
% 35.61/35.98 Z := Y
% 35.61/35.98 T := X
% 35.61/35.98 end
% 35.61/35.98 permutation0:
% 35.61/35.98 0 ==> 1
% 35.61/35.98 1 ==> 2
% 35.61/35.98 2 ==> 0
% 35.61/35.98 3 ==> 3
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 resolution: (11131) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 35.61/35.98 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 35.61/35.98 , ! apart_point_and_line( T, X ) }.
% 35.61/35.98 parent0[2]: (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 35.61/35.98 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 35.61/35.98 ( Z, X ) }.
% 35.61/35.98 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 35.61/35.98 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := X
% 35.61/35.98 Y := Y
% 35.61/35.98 Z := Z
% 35.61/35.98 end
% 35.61/35.98 substitution1:
% 35.61/35.98 X := T
% 35.61/35.98 Y := X
% 35.61/35.98 Z := Z
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 subsumption: (138) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y ),
% 35.61/35.98 ! convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z, T
% 35.61/35.98 ) ), ! apart_point_and_line( X, Z ) }.
% 35.61/35.98 parent0: (11131) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 35.61/35.98 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 35.61/35.98 , ! apart_point_and_line( T, X ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := Z
% 35.61/35.98 Y := T
% 35.61/35.98 Z := Y
% 35.61/35.98 T := X
% 35.61/35.98 end
% 35.61/35.98 permutation0:
% 35.61/35.98 0 ==> 1
% 35.61/35.98 1 ==> 2
% 35.61/35.98 2 ==> 0
% 35.61/35.98 3 ==> 3
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 resolution: (11133) {G1,W8,D3,L2,V1,M2} { distinct_points( X,
% 35.61/35.98 intersection_point( skol1, skol2 ) ), ! apart_point_and_line( X, skol4 )
% 35.61/35.98 }.
% 35.61/35.98 parent0[0]: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 35.61/35.98 intersection_point( skol1, skol2 ), skol4 ) }.
% 35.61/35.98 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 35.61/35.98 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 end
% 35.61/35.98 substitution1:
% 35.61/35.98 X := X
% 35.61/35.98 Y := skol4
% 35.61/35.98 Z := intersection_point( skol1, skol2 )
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 subsumption: (142) {G1,W8,D3,L2,V1,M1} R(11,17) { distinct_points( X,
% 35.61/35.98 intersection_point( skol1, skol2 ) ), ! apart_point_and_line( X, skol4 )
% 35.61/35.98 }.
% 35.61/35.98 parent0: (11133) {G1,W8,D3,L2,V1,M2} { distinct_points( X,
% 35.61/35.98 intersection_point( skol1, skol2 ) ), ! apart_point_and_line( X, skol4 )
% 35.61/35.98 }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := X
% 35.61/35.98 end
% 35.61/35.98 permutation0:
% 35.61/35.98 0 ==> 0
% 35.61/35.98 1 ==> 1
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 factor: (11134) {G1,W15,D3,L3,V2,M3} { distinct_points( intersection_point
% 35.61/35.98 ( X, Y ), intersection_point( X, Y ) ), ! convergent_lines( X, Y ), !
% 35.61/35.98 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 35.61/35.98 parent0[0, 2]: (138) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y )
% 35.61/35.98 , ! convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z,
% 35.61/35.98 T ) ), ! apart_point_and_line( X, Z ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := intersection_point( X, Y )
% 35.61/35.98 Y := intersection_point( X, Y )
% 35.61/35.98 Z := X
% 35.61/35.98 T := Y
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 resolution: (11135) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 35.61/35.98 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 35.61/35.98 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 35.61/35.98 parent1[0]: (11134) {G1,W15,D3,L3,V2,M3} { distinct_points(
% 35.61/35.98 intersection_point( X, Y ), intersection_point( X, Y ) ), !
% 35.61/35.98 convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X,
% 35.61/35.98 Y ), X ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := intersection_point( X, Y )
% 35.61/35.98 end
% 35.61/35.98 substitution1:
% 35.61/35.98 X := X
% 35.61/35.98 Y := Y
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 subsumption: (145) {G2,W8,D3,L2,V2,M1} F(138);r(0) { ! convergent_lines( X
% 35.61/35.98 , Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 35.61/35.98 parent0: (11135) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 35.61/35.98 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := X
% 35.61/35.98 Y := Y
% 35.61/35.98 end
% 35.61/35.98 permutation0:
% 35.61/35.98 0 ==> 0
% 35.61/35.98 1 ==> 1
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 factor: (11136) {G1,W15,D3,L3,V2,M3} { distinct_points( intersection_point
% 35.61/35.98 ( X, Y ), intersection_point( X, Y ) ), ! convergent_lines( X, Y ), !
% 35.61/35.98 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 35.61/35.98 parent0[0, 2]: (137) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y )
% 35.61/35.98 , ! convergent_lines( T, Z ), distinct_points( Y, intersection_point( T,
% 35.61/35.98 Z ) ), ! apart_point_and_line( X, Z ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := intersection_point( X, Y )
% 35.61/35.98 Y := intersection_point( X, Y )
% 35.61/35.98 Z := Y
% 35.61/35.98 T := X
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 resolution: (11137) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 35.61/35.98 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 35.61/35.98 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 35.61/35.98 parent1[0]: (11136) {G1,W15,D3,L3,V2,M3} { distinct_points(
% 35.61/35.98 intersection_point( X, Y ), intersection_point( X, Y ) ), !
% 35.61/35.98 convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X,
% 35.61/35.98 Y ), Y ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := intersection_point( X, Y )
% 35.61/35.98 end
% 35.61/35.98 substitution1:
% 35.61/35.98 X := X
% 35.61/35.98 Y := Y
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 subsumption: (146) {G2,W8,D3,L2,V2,M1} F(137);r(0) { ! convergent_lines( X
% 35.61/35.98 , Y ), ! apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 35.61/35.98 parent0: (11137) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 35.61/35.98 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := X
% 35.61/35.98 Y := Y
% 35.61/35.98 end
% 35.61/35.98 permutation0:
% 35.61/35.98 0 ==> 0
% 35.61/35.98 1 ==> 1
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 resolution: (11139) {G1,W15,D3,L3,V1,M3} { ! convergent_lines( X, skol2 )
% 35.61/35.98 , distinct_points( intersection_point( skol3, skol4 ), intersection_point
% 35.61/35.98 ( X, skol2 ) ), apart_point_and_line( intersection_point( skol3, skol4 )
% 35.61/35.98 , skol1 ) }.
% 35.61/35.98 parent0[2]: (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 35.61/35.98 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 35.61/35.98 ( Z, Y ) }.
% 35.61/35.98 parent1[1]: (18) {G0,W10,D3,L2,V0,M1} I { apart_point_and_line(
% 35.61/35.98 intersection_point( skol3, skol4 ), skol1 ), apart_point_and_line(
% 35.61/35.98 intersection_point( skol3, skol4 ), skol2 ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := X
% 35.61/35.98 Y := skol2
% 35.61/35.98 Z := intersection_point( skol3, skol4 )
% 35.61/35.98 end
% 35.61/35.98 substitution1:
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 subsumption: (153) {G1,W15,D3,L3,V1,M1} R(18,9) { ! convergent_lines( X,
% 35.61/35.98 skol2 ), distinct_points( intersection_point( skol3, skol4 ),
% 35.61/35.98 intersection_point( X, skol2 ) ), apart_point_and_line(
% 35.61/35.98 intersection_point( skol3, skol4 ), skol1 ) }.
% 35.61/35.98 parent0: (11139) {G1,W15,D3,L3,V1,M3} { ! convergent_lines( X, skol2 ),
% 35.61/35.98 distinct_points( intersection_point( skol3, skol4 ), intersection_point(
% 35.61/35.98 X, skol2 ) ), apart_point_and_line( intersection_point( skol3, skol4 ),
% 35.61/35.98 skol1 ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := X
% 35.61/35.98 end
% 35.61/35.98 permutation0:
% 35.61/35.98 0 ==> 0
% 35.61/35.98 1 ==> 1
% 35.61/35.98 2 ==> 2
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 resolution: (11145) {G2,W21,D3,L5,V1,M5} { distinct_points(
% 35.61/35.98 intersection_point( skol1, skol2 ), intersection_point( skol1, skol2 ) )
% 35.61/35.98 , ! distinct_points( intersection_point( skol1, skol2 ), X ), !
% 35.61/35.98 distinct_lines( skol3, skol4 ), apart_point_and_line( X, skol3 ),
% 35.61/35.98 apart_point_and_line( X, skol4 ) }.
% 35.61/35.98 parent0[1]: (142) {G1,W8,D3,L2,V1,M1} R(11,17) { distinct_points( X,
% 35.61/35.98 intersection_point( skol1, skol2 ) ), ! apart_point_and_line( X, skol4 )
% 35.61/35.98 }.
% 35.61/35.98 parent1[4]: (111) {G1,W19,D3,L5,V2,M3} R(10,16) { ! distinct_points(
% 35.61/35.98 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol3, Y ),
% 35.61/35.98 apart_point_and_line( X, skol3 ), apart_point_and_line( X, Y ),
% 35.61/35.98 apart_point_and_line( intersection_point( skol1, skol2 ), Y ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := intersection_point( skol1, skol2 )
% 35.61/35.98 end
% 35.61/35.98 substitution1:
% 35.61/35.98 X := X
% 35.61/35.98 Y := skol4
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 resolution: (11146) {G1,W14,D3,L4,V1,M4} { ! distinct_points(
% 35.61/35.98 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol3, skol4 )
% 35.61/35.98 , apart_point_and_line( X, skol3 ), apart_point_and_line( X, skol4 ) }.
% 35.61/35.98 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 35.61/35.98 parent1[0]: (11145) {G2,W21,D3,L5,V1,M5} { distinct_points(
% 35.61/35.98 intersection_point( skol1, skol2 ), intersection_point( skol1, skol2 ) )
% 35.61/35.98 , ! distinct_points( intersection_point( skol1, skol2 ), X ), !
% 35.61/35.98 distinct_lines( skol3, skol4 ), apart_point_and_line( X, skol3 ),
% 35.61/35.98 apart_point_and_line( X, skol4 ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := intersection_point( skol1, skol2 )
% 35.61/35.98 end
% 35.61/35.98 substitution1:
% 35.61/35.98 X := X
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 subsumption: (2243) {G2,W14,D3,L4,V1,M1} R(111,142);r(0) { !
% 35.61/35.98 distinct_points( intersection_point( skol1, skol2 ), X ), !
% 35.61/35.98 distinct_lines( skol3, skol4 ), apart_point_and_line( X, skol3 ),
% 35.61/35.98 apart_point_and_line( X, skol4 ) }.
% 35.61/35.98 parent0: (11146) {G1,W14,D3,L4,V1,M4} { ! distinct_points(
% 35.61/35.98 intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol3, skol4 )
% 35.61/35.98 , apart_point_and_line( X, skol3 ), apart_point_and_line( X, skol4 ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := X
% 35.61/35.98 end
% 35.61/35.98 permutation0:
% 35.61/35.98 0 ==> 0
% 35.61/35.98 1 ==> 1
% 35.61/35.98 2 ==> 2
% 35.61/35.98 3 ==> 3
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 resolution: (11147) {G1,W18,D3,L4,V2,M4} { distinct_points(
% 35.61/35.98 intersection_point( skol3, skol4 ), X ), apart_point_and_line( X, skol1 )
% 35.61/35.98 , ! convergent_lines( Y, skol2 ), distinct_points( intersection_point(
% 35.61/35.98 skol3, skol4 ), intersection_point( Y, skol2 ) ) }.
% 35.61/35.98 parent0[2]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 35.61/35.98 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 35.61/35.98 parent1[2]: (153) {G1,W15,D3,L3,V1,M1} R(18,9) { ! convergent_lines( X,
% 35.61/35.98 skol2 ), distinct_points( intersection_point( skol3, skol4 ),
% 35.61/35.98 intersection_point( X, skol2 ) ), apart_point_and_line(
% 35.61/35.98 intersection_point( skol3, skol4 ), skol1 ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := intersection_point( skol3, skol4 )
% 35.61/35.98 Y := skol1
% 35.61/35.98 Z := X
% 35.61/35.98 end
% 35.61/35.98 substitution1:
% 35.61/35.98 X := Y
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 subsumption: (4088) {G2,W18,D3,L4,V2,M1} R(153,11) { ! convergent_lines( X
% 35.61/35.98 , skol2 ), distinct_points( intersection_point( skol3, skol4 ),
% 35.61/35.98 intersection_point( X, skol2 ) ), distinct_points( intersection_point(
% 35.61/35.98 skol3, skol4 ), Y ), apart_point_and_line( Y, skol1 ) }.
% 35.61/35.98 parent0: (11147) {G1,W18,D3,L4,V2,M4} { distinct_points(
% 35.61/35.98 intersection_point( skol3, skol4 ), X ), apart_point_and_line( X, skol1 )
% 35.61/35.98 , ! convergent_lines( Y, skol2 ), distinct_points( intersection_point(
% 35.61/35.98 skol3, skol4 ), intersection_point( Y, skol2 ) ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := Y
% 35.61/35.98 Y := X
% 35.61/35.98 end
% 35.61/35.98 permutation0:
% 35.61/35.98 0 ==> 2
% 35.61/35.98 1 ==> 3
% 35.61/35.98 2 ==> 0
% 35.61/35.98 3 ==> 1
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 factor: (11149) {G2,W15,D3,L3,V1,M3} { ! convergent_lines( X, skol2 ),
% 35.61/35.98 distinct_points( intersection_point( skol3, skol4 ), intersection_point(
% 35.61/35.98 X, skol2 ) ), apart_point_and_line( intersection_point( X, skol2 ), skol1
% 35.61/35.98 ) }.
% 35.61/35.98 parent0[1, 2]: (4088) {G2,W18,D3,L4,V2,M1} R(153,11) { ! convergent_lines(
% 35.61/35.98 X, skol2 ), distinct_points( intersection_point( skol3, skol4 ),
% 35.61/35.98 intersection_point( X, skol2 ) ), distinct_points( intersection_point(
% 35.61/35.98 skol3, skol4 ), Y ), apart_point_and_line( Y, skol1 ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := X
% 35.61/35.98 Y := intersection_point( X, skol2 )
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 subsumption: (4090) {G3,W15,D3,L3,V1,M1} F(4088) { ! convergent_lines( X,
% 35.61/35.98 skol2 ), distinct_points( intersection_point( skol3, skol4 ),
% 35.61/35.98 intersection_point( X, skol2 ) ), apart_point_and_line(
% 35.61/35.98 intersection_point( X, skol2 ), skol1 ) }.
% 35.61/35.98 parent0: (11149) {G2,W15,D3,L3,V1,M3} { ! convergent_lines( X, skol2 ),
% 35.61/35.98 distinct_points( intersection_point( skol3, skol4 ), intersection_point(
% 35.61/35.98 X, skol2 ) ), apart_point_and_line( intersection_point( X, skol2 ), skol1
% 35.61/35.98 ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := X
% 35.61/35.98 end
% 35.61/35.98 permutation0:
% 35.61/35.98 0 ==> 0
% 35.61/35.98 1 ==> 1
% 35.61/35.98 2 ==> 2
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 resolution: (11151) {G3,W18,D3,L4,V1,M4} { ! convergent_lines( X, skol4 )
% 35.61/35.98 , ! distinct_points( intersection_point( skol1, skol2 ),
% 35.61/35.98 intersection_point( X, skol4 ) ), ! distinct_lines( skol3, skol4 ),
% 35.61/35.98 apart_point_and_line( intersection_point( X, skol4 ), skol3 ) }.
% 35.61/35.98 parent0[1]: (146) {G2,W8,D3,L2,V2,M1} F(137);r(0) { ! convergent_lines( X,
% 35.61/35.98 Y ), ! apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 35.61/35.98 parent1[3]: (2243) {G2,W14,D3,L4,V1,M1} R(111,142);r(0) { ! distinct_points
% 35.61/35.98 ( intersection_point( skol1, skol2 ), X ), ! distinct_lines( skol3, skol4
% 35.61/35.98 ), apart_point_and_line( X, skol3 ), apart_point_and_line( X, skol4 )
% 35.61/35.98 }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := X
% 35.61/35.98 Y := skol4
% 35.61/35.98 end
% 35.61/35.98 substitution1:
% 35.61/35.98 X := intersection_point( X, skol4 )
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 subsumption: (8925) {G3,W18,D3,L4,V1,M1} R(2243,146) { ! distinct_points(
% 35.61/35.98 intersection_point( skol1, skol2 ), intersection_point( X, skol4 ) ), !
% 35.61/35.98 distinct_lines( skol3, skol4 ), ! convergent_lines( X, skol4 ),
% 35.61/35.98 apart_point_and_line( intersection_point( X, skol4 ), skol3 ) }.
% 35.61/35.98 parent0: (11151) {G3,W18,D3,L4,V1,M4} { ! convergent_lines( X, skol4 ), !
% 35.61/35.98 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 35.61/35.98 X, skol4 ) ), ! distinct_lines( skol3, skol4 ), apart_point_and_line(
% 35.61/35.98 intersection_point( X, skol4 ), skol3 ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := X
% 35.61/35.98 end
% 35.61/35.98 permutation0:
% 35.61/35.98 0 ==> 2
% 35.61/35.98 1 ==> 0
% 35.61/35.98 2 ==> 1
% 35.61/35.98 3 ==> 3
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 resolution: (11152) {G3,W13,D3,L3,V0,M3} { ! convergent_lines( skol1,
% 35.61/35.98 skol2 ), ! convergent_lines( skol1, skol2 ), distinct_points(
% 35.61/35.98 intersection_point( skol3, skol4 ), intersection_point( skol1, skol2 ) )
% 35.61/35.98 }.
% 35.61/35.98 parent0[1]: (145) {G2,W8,D3,L2,V2,M1} F(138);r(0) { ! convergent_lines( X,
% 35.61/35.98 Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 35.61/35.98 parent1[2]: (4090) {G3,W15,D3,L3,V1,M1} F(4088) { ! convergent_lines( X,
% 35.61/35.98 skol2 ), distinct_points( intersection_point( skol3, skol4 ),
% 35.61/35.98 intersection_point( X, skol2 ) ), apart_point_and_line(
% 35.61/35.98 intersection_point( X, skol2 ), skol1 ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := skol1
% 35.61/35.98 Y := skol2
% 35.61/35.98 end
% 35.61/35.98 substitution1:
% 35.61/35.98 X := skol1
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 factor: (11153) {G3,W10,D3,L2,V0,M2} { ! convergent_lines( skol1, skol2 )
% 35.61/35.98 , distinct_points( intersection_point( skol3, skol4 ), intersection_point
% 35.61/35.98 ( skol1, skol2 ) ) }.
% 35.61/35.98 parent0[0, 1]: (11152) {G3,W13,D3,L3,V0,M3} { ! convergent_lines( skol1,
% 35.61/35.98 skol2 ), ! convergent_lines( skol1, skol2 ), distinct_points(
% 35.61/35.98 intersection_point( skol3, skol4 ), intersection_point( skol1, skol2 ) )
% 35.61/35.98 }.
% 35.61/35.98 substitution0:
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 resolution: (11155) {G1,W7,D3,L1,V0,M1} { distinct_points(
% 35.61/35.98 intersection_point( skol3, skol4 ), intersection_point( skol1, skol2 ) )
% 35.61/35.98 }.
% 35.61/35.98 parent0[0]: (11153) {G3,W10,D3,L2,V0,M2} { ! convergent_lines( skol1,
% 35.61/35.98 skol2 ), distinct_points( intersection_point( skol3, skol4 ),
% 35.61/35.98 intersection_point( skol1, skol2 ) ) }.
% 35.61/35.98 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 35.61/35.98 }.
% 35.61/35.98 substitution0:
% 35.61/35.98 end
% 35.61/35.98 substitution1:
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 subsumption: (9261) {G4,W7,D3,L1,V0,M1} R(4090,145);f;r(14) {
% 35.61/35.98 distinct_points( intersection_point( skol3, skol4 ), intersection_point(
% 35.61/35.98 skol1, skol2 ) ) }.
% 35.61/35.98 parent0: (11155) {G1,W7,D3,L1,V0,M1} { distinct_points( intersection_point
% 35.61/35.98 ( skol3, skol4 ), intersection_point( skol1, skol2 ) ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 end
% 35.61/35.98 permutation0:
% 35.61/35.98 0 ==> 0
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 resolution: (11156) {G2,W7,D3,L1,V0,M1} { distinct_points(
% 35.61/35.98 intersection_point( skol1, skol2 ), intersection_point( skol3, skol4 ) )
% 35.61/35.98 }.
% 35.61/35.98 parent0[0]: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 35.61/35.98 distinct_points( X, Y ) }.
% 35.61/35.98 parent1[0]: (9261) {G4,W7,D3,L1,V0,M1} R(4090,145);f;r(14) {
% 35.61/35.98 distinct_points( intersection_point( skol3, skol4 ), intersection_point(
% 35.61/35.98 skol1, skol2 ) ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := intersection_point( skol1, skol2 )
% 35.61/35.98 Y := intersection_point( skol3, skol4 )
% 35.61/35.98 end
% 35.61/35.98 substitution1:
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 subsumption: (9291) {G5,W7,D3,L1,V0,M1} R(9261,21) { distinct_points(
% 35.61/35.98 intersection_point( skol1, skol2 ), intersection_point( skol3, skol4 ) )
% 35.61/35.98 }.
% 35.61/35.98 parent0: (11156) {G2,W7,D3,L1,V0,M1} { distinct_points( intersection_point
% 35.61/35.98 ( skol1, skol2 ), intersection_point( skol3, skol4 ) ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 end
% 35.61/35.98 permutation0:
% 35.61/35.98 0 ==> 0
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 resolution: (11157) {G3,W16,D3,L4,V0,M4} { ! convergent_lines( skol3,
% 35.61/35.98 skol4 ), ! distinct_points( intersection_point( skol1, skol2 ),
% 35.61/35.98 intersection_point( skol3, skol4 ) ), ! distinct_lines( skol3, skol4 ), !
% 35.61/35.98 convergent_lines( skol3, skol4 ) }.
% 35.61/35.98 parent0[1]: (145) {G2,W8,D3,L2,V2,M1} F(138);r(0) { ! convergent_lines( X,
% 35.61/35.98 Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 35.61/35.98 parent1[3]: (8925) {G3,W18,D3,L4,V1,M1} R(2243,146) { ! distinct_points(
% 35.61/35.98 intersection_point( skol1, skol2 ), intersection_point( X, skol4 ) ), !
% 35.61/35.98 distinct_lines( skol3, skol4 ), ! convergent_lines( X, skol4 ),
% 35.61/35.98 apart_point_and_line( intersection_point( X, skol4 ), skol3 ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 X := skol3
% 35.61/35.98 Y := skol4
% 35.61/35.98 end
% 35.61/35.98 substitution1:
% 35.61/35.98 X := skol3
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 resolution: (11159) {G4,W9,D2,L3,V0,M3} { ! convergent_lines( skol3, skol4
% 35.61/35.98 ), ! distinct_lines( skol3, skol4 ), ! convergent_lines( skol3, skol4 )
% 35.61/35.98 }.
% 35.61/35.98 parent0[1]: (11157) {G3,W16,D3,L4,V0,M4} { ! convergent_lines( skol3,
% 35.61/35.98 skol4 ), ! distinct_points( intersection_point( skol1, skol2 ),
% 35.61/35.98 intersection_point( skol3, skol4 ) ), ! distinct_lines( skol3, skol4 ), !
% 35.61/35.98 convergent_lines( skol3, skol4 ) }.
% 35.61/35.98 parent1[0]: (9291) {G5,W7,D3,L1,V0,M1} R(9261,21) { distinct_points(
% 35.61/35.98 intersection_point( skol1, skol2 ), intersection_point( skol3, skol4 ) )
% 35.61/35.98 }.
% 35.61/35.98 substitution0:
% 35.61/35.98 end
% 35.61/35.98 substitution1:
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 factor: (11160) {G4,W6,D2,L2,V0,M2} { ! convergent_lines( skol3, skol4 ),
% 35.61/35.98 ! distinct_lines( skol3, skol4 ) }.
% 35.61/35.98 parent0[0, 2]: (11159) {G4,W9,D2,L3,V0,M3} { ! convergent_lines( skol3,
% 35.61/35.98 skol4 ), ! distinct_lines( skol3, skol4 ), ! convergent_lines( skol3,
% 35.61/35.98 skol4 ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 subsumption: (10495) {G6,W6,D2,L2,V0,M1} R(8925,145);f;r(9291) { !
% 35.61/35.98 convergent_lines( skol3, skol4 ), ! distinct_lines( skol3, skol4 ) }.
% 35.61/35.98 parent0: (11160) {G4,W6,D2,L2,V0,M2} { ! convergent_lines( skol3, skol4 )
% 35.61/35.98 , ! distinct_lines( skol3, skol4 ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 end
% 35.61/35.98 permutation0:
% 35.61/35.98 0 ==> 0
% 35.61/35.98 1 ==> 1
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 resolution: (11161) {G1,W3,D2,L1,V0,M1} { ! distinct_lines( skol3, skol4 )
% 35.61/35.98 }.
% 35.61/35.98 parent0[0]: (10495) {G6,W6,D2,L2,V0,M1} R(8925,145);f;r(9291) { !
% 35.61/35.98 convergent_lines( skol3, skol4 ), ! distinct_lines( skol3, skol4 ) }.
% 35.61/35.98 parent1[0]: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol4 )
% 35.61/35.98 }.
% 35.61/35.98 substitution0:
% 35.61/35.98 end
% 35.61/35.98 substitution1:
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 subsumption: (10496) {G7,W3,D2,L1,V0,M1} S(10495);r(15) { ! distinct_lines
% 35.61/35.98 ( skol3, skol4 ) }.
% 35.61/35.98 parent0: (11161) {G1,W3,D2,L1,V0,M1} { ! distinct_lines( skol3, skol4 )
% 35.61/35.98 }.
% 35.61/35.98 substitution0:
% 35.61/35.98 end
% 35.61/35.98 permutation0:
% 35.61/35.98 0 ==> 0
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 resolution: (11162) {G3,W3,D2,L1,V0,M1} { ! convergent_lines( skol4, skol3
% 35.61/35.98 ) }.
% 35.61/35.98 parent0[0]: (10496) {G7,W3,D2,L1,V0,M1} S(10495);r(15) { ! distinct_lines(
% 35.61/35.98 skol3, skol4 ) }.
% 35.61/35.98 parent1[1]: (30) {G2,W6,D2,L2,V2,M1} R(27,13) { ! convergent_lines( Y, X )
% 35.61/35.98 , distinct_lines( X, Y ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 end
% 35.61/35.98 substitution1:
% 35.61/35.98 X := skol3
% 35.61/35.98 Y := skol4
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 resolution: (11163) {G3,W0,D0,L0,V0,M0} { }.
% 35.61/35.98 parent0[0]: (11162) {G3,W3,D2,L1,V0,M1} { ! convergent_lines( skol4, skol3
% 35.61/35.98 ) }.
% 35.61/35.98 parent1[0]: (51) {G2,W3,D2,L1,V0,M1} R(47,15) { convergent_lines( skol4,
% 35.61/35.98 skol3 ) }.
% 35.61/35.98 substitution0:
% 35.61/35.98 end
% 35.61/35.98 substitution1:
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 subsumption: (11007) {G8,W0,D0,L0,V0,M0} R(10496,30);r(51) { }.
% 35.61/35.98 parent0: (11163) {G3,W0,D0,L0,V0,M0} { }.
% 35.61/35.98 substitution0:
% 35.61/35.98 end
% 35.61/35.98 permutation0:
% 35.61/35.98 end
% 35.61/35.98
% 35.61/35.98 Proof check complete!
% 35.61/35.98
% 35.61/35.98 Memory use:
% 35.61/35.98
% 35.61/35.98 space for terms: 181645
% 35.61/35.98 space for clauses: 376807
% 35.61/35.98
% 35.61/35.98
% 35.61/35.98 clauses generated: 3093021
% 35.61/35.98 clauses kept: 11008
% 35.61/35.98 clauses selected: 9546
% 35.61/35.98 clauses deleted: 77
% 35.61/35.98 clauses inuse deleted: 0
% 35.61/35.98
% 35.61/35.98 subsentry: 27370785
% 35.61/35.98 literals s-matched: 15953196
% 35.61/35.98 literals matched: 15953156
% 35.61/35.98 full subsumption: 14832311
% 35.61/35.98
% 35.61/35.98 checksum: -6285
% 35.61/35.98
% 35.61/35.98
% 35.61/35.98 Bliksem ended
%------------------------------------------------------------------------------