TSTP Solution File: GEO191+2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO191+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 38.05s 38.48s
% Output : Refutation 38.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO191+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : bliksem %s
% 0.11/0.33 % Computer : n021.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % DateTime : Sat Jun 18 01:31:16 EDT 2022
% 0.11/0.34 % CPUTime :
% 38.05/38.48 *** allocated 10000 integers for termspace/termends
% 38.05/38.48 *** allocated 10000 integers for clauses
% 38.05/38.48 *** allocated 10000 integers for justifications
% 38.05/38.48 Bliksem 1.12
% 38.05/38.48
% 38.05/38.48
% 38.05/38.48 Automatic Strategy Selection
% 38.05/38.48
% 38.05/38.48
% 38.05/38.48 Clauses:
% 38.05/38.48
% 38.05/38.48 { ! distinct_points( X, X ) }.
% 38.05/38.48 { ! distinct_lines( X, X ) }.
% 38.05/38.48 { ! convergent_lines( X, X ) }.
% 38.05/38.48 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 38.05/38.48 ) }.
% 38.05/38.48 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 38.05/38.48 }.
% 38.05/38.48 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 38.05/38.48 , Z ) }.
% 38.05/38.48 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 38.05/38.48 , Y ) ), distinct_points( Z, X ) }.
% 38.05/38.48 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 38.05/38.48 , Y ) ), distinct_points( Z, Y ) }.
% 38.05/38.48 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, X ),
% 38.05/38.48 distinct_points( Z, intersection_point( X, Y ) ) }.
% 38.05/38.48 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, Y ),
% 38.05/38.48 distinct_points( Z, intersection_point( X, Y ) ) }.
% 38.05/38.48 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 38.05/38.48 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 38.05/38.48 apart_point_and_line( Y, T ) }.
% 38.05/38.48 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 38.05/38.48 apart_point_and_line( Z, Y ) }.
% 38.05/38.48 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 38.05/38.48 apart_point_and_line( X, Z ) }.
% 38.05/38.48 { ! convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 38.05/38.48 { convergent_lines( skol1, skol2 ) }.
% 38.05/38.48 { convergent_lines( skol3, skol4 ) }.
% 38.05/38.48 { apart_point_and_line( intersection_point( skol1, skol2 ), skol3 ),
% 38.05/38.48 apart_point_and_line( intersection_point( skol1, skol2 ), skol4 ) }.
% 38.05/38.48 { ! apart_point_and_line( intersection_point( skol3, skol4 ), skol1 ) }.
% 38.05/38.48 { ! apart_point_and_line( intersection_point( skol3, skol4 ), skol2 ) }.
% 38.05/38.48
% 38.05/38.48 percentage equality = 0.000000, percentage horn = 0.631579
% 38.05/38.48 This a non-horn, non-equality problem
% 38.05/38.48
% 38.05/38.48
% 38.05/38.48 Options Used:
% 38.05/38.48
% 38.05/38.48 useres = 1
% 38.05/38.48 useparamod = 0
% 38.05/38.48 useeqrefl = 0
% 38.05/38.48 useeqfact = 0
% 38.05/38.48 usefactor = 1
% 38.05/38.48 usesimpsplitting = 0
% 38.05/38.48 usesimpdemod = 0
% 38.05/38.48 usesimpres = 3
% 38.05/38.48
% 38.05/38.48 resimpinuse = 1000
% 38.05/38.48 resimpclauses = 20000
% 38.05/38.48 substype = standard
% 38.05/38.48 backwardsubs = 1
% 38.05/38.48 selectoldest = 5
% 38.05/38.48
% 38.05/38.48 litorderings [0] = split
% 38.05/38.48 litorderings [1] = liftord
% 38.05/38.48
% 38.05/38.48 termordering = none
% 38.05/38.48
% 38.05/38.48 litapriori = 1
% 38.05/38.48 termapriori = 0
% 38.05/38.48 litaposteriori = 0
% 38.05/38.48 termaposteriori = 0
% 38.05/38.48 demodaposteriori = 0
% 38.05/38.48 ordereqreflfact = 0
% 38.05/38.48
% 38.05/38.48 litselect = none
% 38.05/38.48
% 38.05/38.48 maxweight = 15
% 38.05/38.48 maxdepth = 30000
% 38.05/38.48 maxlength = 115
% 38.05/38.48 maxnrvars = 195
% 38.05/38.48 excuselevel = 1
% 38.05/38.48 increasemaxweight = 1
% 38.05/38.48
% 38.05/38.48 maxselected = 10000000
% 38.05/38.48 maxnrclauses = 10000000
% 38.05/38.48
% 38.05/38.48 showgenerated = 0
% 38.05/38.48 showkept = 0
% 38.05/38.48 showselected = 0
% 38.05/38.48 showdeleted = 0
% 38.05/38.48 showresimp = 1
% 38.05/38.48 showstatus = 2000
% 38.05/38.48
% 38.05/38.48 prologoutput = 0
% 38.05/38.48 nrgoals = 5000000
% 38.05/38.48 totalproof = 1
% 38.05/38.48
% 38.05/38.48 Symbols occurring in the translation:
% 38.05/38.48
% 38.05/38.48 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 38.05/38.48 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 38.05/38.48 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 38.05/38.48 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 38.05/38.48 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 38.05/38.48 distinct_points [36, 2] (w:1, o:45, a:1, s:1, b:0),
% 38.05/38.48 distinct_lines [37, 2] (w:1, o:46, a:1, s:1, b:0),
% 38.05/38.48 convergent_lines [38, 2] (w:1, o:44, a:1, s:1, b:0),
% 38.05/38.48 line_connecting [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 38.05/38.48 apart_point_and_line [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 38.05/38.48 intersection_point [43, 2] (w:1, o:49, a:1, s:1, b:0),
% 38.05/38.48 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 38.05/38.48 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 38.05/38.48 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 38.05/38.48 skol4 [49, 0] (w:1, o:14, a:1, s:1, b:0).
% 38.05/38.48
% 38.05/38.48
% 38.05/38.48 Starting Search:
% 38.05/38.48
% 38.05/38.48 *** allocated 15000 integers for clauses
% 38.05/38.48 *** allocated 22500 integers for clauses
% 38.05/38.48 *** allocated 33750 integers for clauses
% 38.05/38.48 *** allocated 15000 integers for termspace/termends
% 38.05/38.48 *** allocated 50625 integers for clauses
% 38.05/38.48 Resimplifying inuse:
% 38.05/38.48 Done
% 38.05/38.48
% 38.05/38.48 *** allocated 22500 integers for termspace/termends
% 38.05/38.48 *** allocated 75937 integers for clauses
% 38.05/38.48 *** allocated 33750 integers for termspace/termends
% 38.05/38.48
% 38.05/38.48 Intermediate Status:
% 38.05/38.48 Generated: 18449
% 38.05/38.48 Kept: 2000
% 38.05/38.48 Inuse: 289
% 38.05/38.48 Deleted: 0
% 38.05/38.48 Deletedinuse: 0
% 38.05/38.48
% 38.05/38.48 Resimplifying inuse:
% 38.05/38.48 Done
% 38.05/38.48
% 38.05/38.48 *** allocated 113905 integers for clauses
% 38.05/38.48 *** allocated 50625 integers for termspace/termends
% 38.05/38.48 Resimplifying inuse:
% 38.05/38.48 Done
% 38.05/38.48
% 38.05/38.48 Failed to find proof!
% 38.05/38.48 maxweight = 15
% 38.05/38.48 maxnrclauses = 10000000
% 38.05/38.48 Generated: 353429
% 38.05/38.48 Kept: 2963
% 38.05/38.48
% 38.05/38.48
% 38.05/38.48 The strategy used was not complete!
% 38.05/38.48
% 38.05/38.48 Increased maxweight to 16
% 38.05/38.48
% 38.05/38.48 Starting Search:
% 38.05/38.48
% 38.05/38.48 Resimplifying inuse:
% 38.05/38.48 Done
% 38.05/38.48
% 38.05/38.48
% 38.05/38.48 Intermediate Status:
% 38.05/38.48 Generated: 18449
% 38.05/38.48 Kept: 2000
% 38.05/38.48 Inuse: 289
% 38.05/38.48 Deleted: 0
% 38.05/38.48 Deletedinuse: 0
% 38.05/38.48
% 38.05/38.48 Resimplifying inuse:
% 38.05/38.48 Done
% 38.05/38.48
% 38.05/38.48 Resimplifying inuse:
% 38.05/38.48 Done
% 38.05/38.48
% 38.05/38.48 *** allocated 170857 integers for clauses
% 38.05/38.48 Resimplifying inuse:
% 38.05/38.48 Done
% 38.05/38.48
% 38.05/38.48 Failed to find proof!
% 38.05/38.48 maxweight = 16
% 38.05/38.48 maxnrclauses = 10000000
% 38.05/38.48 Generated: 385595
% 38.05/38.48 Kept: 3443
% 38.05/38.48
% 38.05/38.48
% 38.05/38.48 The strategy used was not complete!
% 38.05/38.48
% 38.05/38.48 Increased maxweight to 17
% 38.05/38.48
% 38.05/38.48 Starting Search:
% 38.05/38.48
% 38.05/38.48 Resimplifying inuse:
% 38.05/38.48 Done
% 38.05/38.48
% 38.05/38.48
% 38.05/38.48 Intermediate Status:
% 38.05/38.48 Generated: 18452
% 38.05/38.48 Kept: 2005
% 38.05/38.48 Inuse: 289
% 38.05/38.48 Deleted: 0
% 38.05/38.48 Deletedinuse: 0
% 38.05/38.48
% 38.05/38.48 Resimplifying inuse:
% 38.05/38.48 Done
% 38.05/38.48
% 38.05/38.48 Resimplifying inuse:
% 38.05/38.48 Done
% 38.05/38.48
% 38.05/38.48 *** allocated 75937 integers for termspace/termends
% 38.05/38.48
% 38.05/38.48 Intermediate Status:
% 38.05/38.48 Generated: 43938
% 38.05/38.48 Kept: 4011
% 38.05/38.48 Inuse: 558
% 38.05/38.48 Deleted: 1
% 38.05/38.48 Deletedinuse: 0
% 38.05/38.48
% 38.05/38.48 Resimplifying inuse:
% 38.05/38.48 Done
% 38.05/38.48
% 38.05/38.48 Resimplifying inuse:
% 38.05/38.48 Done
% 38.05/38.48
% 38.05/38.48 Failed to find proof!
% 38.05/38.48 maxweight = 17
% 38.05/38.48 maxnrclauses = 10000000
% 38.05/38.48 Generated: 1027227
% 38.05/38.48 Kept: 4747
% 38.05/38.48
% 38.05/38.48
% 38.05/38.48 The strategy used was not complete!
% 38.05/38.48
% 38.05/38.48 Increased maxweight to 18
% 38.05/38.48
% 38.05/38.48 Starting Search:
% 38.05/38.48
% 38.05/38.48 Resimplifying inuse:
% 38.05/38.48 Done
% 38.05/38.48
% 38.05/38.48
% 38.05/38.48 Intermediate Status:
% 38.05/38.48 Generated: 18425
% 38.05/38.48 Kept: 2012
% 38.05/38.48 Inuse: 267
% 38.05/38.48 Deleted: 0
% 38.05/38.48 Deletedinuse: 0
% 38.05/38.48
% 38.05/38.48 Resimplifying inuse:
% 38.05/38.48 Done
% 38.05/38.48
% 38.05/38.48 Resimplifying inuse:
% 38.05/38.48 Done
% 38.05/38.48
% 38.05/38.48
% 38.05/38.48 Intermediate Status:
% 38.05/38.48 Generated: 36774
% 38.05/38.48 Kept: 4017
% 38.05/38.48 Inuse: 437
% 38.05/38.48 Deleted: 0
% 38.05/38.48 Deletedinuse: 0
% 38.05/38.48
% 38.05/38.48 Resimplifying inuse:
% 38.05/38.48 Done
% 38.05/38.48
% 38.05/38.48 *** allocated 113905 integers for termspace/termends
% 38.05/38.48 *** allocated 256285 integers for clauses
% 38.05/38.48 Resimplifying inuse:
% 38.05/38.48 Done
% 38.05/38.48
% 38.05/38.48
% 38.05/38.48 Intermediate Status:
% 38.05/38.48 Generated: 71265
% 38.05/38.48 Kept: 6097
% 38.05/38.48 Inuse: 595
% 38.05/38.48 Deleted: 1
% 38.05/38.48 Deletedinuse: 0
% 38.05/38.48
% 38.05/38.48 Resimplifying inuse:
% 38.05/38.48 Done
% 38.05/38.48
% 38.05/38.48 *** allocated 170857 integers for termspace/termends
% 38.05/38.48 Resimplifying inuse:
% 38.05/38.48 Done
% 38.05/38.48
% 38.05/38.48 *** allocated 384427 integers for clauses
% 38.05/38.48
% 38.05/38.48 Intermediate Status:
% 38.05/38.48 Generated: 172475
% 38.05/38.48 Kept: 8097
% 38.05/38.48 Inuse: 893
% 38.05/38.48 Deleted: 4
% 38.05/38.48 Deletedinuse: 0
% 38.05/38.48
% 38.05/38.48 Resimplifying inuse:
% 38.05/38.48 Done
% 38.05/38.48
% 38.05/38.48 Resimplifying inuse:
% 38.05/38.48 Done
% 38.05/38.48
% 38.05/38.48
% 38.05/38.48 Intermediate Status:
% 38.05/38.48 Generated: 3051703
% 38.05/38.48 Kept: 10111
% 38.05/38.48 Inuse: 9488
% 38.05/38.48 Deleted: 76
% 38.05/38.48 Deletedinuse: 0
% 38.05/38.48
% 38.05/38.48 Resimplifying inuse:
% 38.05/38.48 Done
% 38.05/38.48
% 38.05/38.48 *** allocated 256285 integers for termspace/termends
% 38.05/38.48
% 38.05/38.48 Bliksems!, er is een bewijs:
% 38.05/38.48 % SZS status Theorem
% 38.05/38.48 % SZS output start Refutation
% 38.05/38.48
% 38.05/38.48 (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 38.05/38.48 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 38.05/38.48 (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 38.05/38.48 (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 38.05/38.48 ), ! distinct_points( X, Y ) }.
% 38.05/38.48 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 38.05/38.48 , ! distinct_lines( X, Y ) }.
% 38.05/38.48 (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ), convergent_lines( Y,
% 38.05/38.48 Z ), ! convergent_lines( X, Y ) }.
% 38.05/38.48 (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), distinct_points( Z
% 38.05/38.48 , intersection_point( X, Y ) ), ! apart_point_and_line( Z, X ) }.
% 38.05/38.48 (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), distinct_points( Z
% 38.05/38.48 , intersection_point( X, Y ) ), ! apart_point_and_line( Z, Y ) }.
% 38.05/38.48 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 38.05/38.48 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 38.05/38.48 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 38.05/38.48 (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 38.05/38.48 ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 38.05/38.48 (13) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ), distinct_lines( X
% 38.05/38.48 , Y ) }.
% 38.05/38.48 (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 ) }.
% 38.05/38.48 (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol4 ) }.
% 38.05/38.48 (16) {G0,W10,D3,L2,V0,M1} I { apart_point_and_line( intersection_point(
% 38.05/38.48 skol1, skol2 ), skol3 ), apart_point_and_line( intersection_point( skol1
% 38.05/38.48 , skol2 ), skol4 ) }.
% 38.05/38.48 (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( intersection_point(
% 38.05/38.48 skol3, skol4 ), skol1 ) }.
% 38.05/38.48 (18) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( intersection_point(
% 38.05/38.48 skol3, skol4 ), skol2 ) }.
% 38.05/38.48 (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 38.05/38.48 distinct_points( X, Y ) }.
% 38.05/38.48 (27) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 38.05/38.48 ( X, Y ) }.
% 38.05/38.48 (30) {G2,W6,D2,L2,V2,M1} R(27,13) { ! convergent_lines( Y, X ),
% 38.05/38.48 distinct_lines( X, Y ) }.
% 38.05/38.48 (47) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 38.05/38.48 convergent_lines( X, Y ) }.
% 38.05/38.48 (50) {G2,W3,D2,L1,V0,M1} R(47,14) { convergent_lines( skol2, skol1 ) }.
% 38.05/38.48 (111) {G1,W19,D3,L5,V2,M3} R(10,17) { ! distinct_points( intersection_point
% 38.05/38.48 ( skol3, skol4 ), X ), ! distinct_lines( skol1, Y ), apart_point_and_line
% 38.05/38.48 ( X, skol1 ), apart_point_and_line( X, Y ), apart_point_and_line(
% 38.05/38.48 intersection_point( skol3, skol4 ), Y ) }.
% 38.05/38.48 (137) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y ), !
% 38.05/38.48 convergent_lines( T, Z ), distinct_points( Y, intersection_point( T, Z )
% 38.05/38.48 ), ! apart_point_and_line( X, Z ) }.
% 38.05/38.48 (138) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y ), !
% 38.05/38.48 convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z, T )
% 38.05/38.48 ), ! apart_point_and_line( X, Z ) }.
% 38.05/38.48 (142) {G1,W8,D3,L2,V1,M1} R(11,18) { distinct_points( X, intersection_point
% 38.05/38.48 ( skol3, skol4 ) ), ! apart_point_and_line( X, skol2 ) }.
% 38.05/38.48 (145) {G2,W8,D3,L2,V2,M1} F(138);r(0) { ! convergent_lines( X, Y ), !
% 38.05/38.48 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 38.05/38.48 (146) {G2,W8,D3,L2,V2,M1} F(137);r(0) { ! convergent_lines( X, Y ), !
% 38.05/38.48 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 38.05/38.48 (153) {G1,W15,D3,L3,V1,M1} R(16,9) { ! convergent_lines( X, skol4 ),
% 38.05/38.48 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 38.05/38.48 X, skol4 ) ), apart_point_and_line( intersection_point( skol1, skol2 ),
% 38.05/38.48 skol3 ) }.
% 38.05/38.48 (2212) {G2,W14,D3,L4,V1,M1} R(111,142);r(0) { ! distinct_points(
% 38.05/38.48 intersection_point( skol3, skol4 ), X ), ! distinct_lines( skol1, skol2 )
% 38.05/38.48 , apart_point_and_line( X, skol1 ), apart_point_and_line( X, skol2 ) }.
% 38.05/38.48 (4089) {G2,W18,D3,L4,V2,M1} R(153,11) { ! convergent_lines( X, skol4 ),
% 38.05/38.48 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 38.05/38.48 X, skol4 ) ), distinct_points( intersection_point( skol1, skol2 ), Y ),
% 38.05/38.48 apart_point_and_line( Y, skol3 ) }.
% 38.05/38.48 (4091) {G3,W15,D3,L3,V1,M1} F(4089) { ! convergent_lines( X, skol4 ),
% 38.05/38.48 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 38.05/38.48 X, skol4 ) ), apart_point_and_line( intersection_point( X, skol4 ), skol3
% 38.05/38.48 ) }.
% 38.05/38.48 (8926) {G3,W18,D3,L4,V1,M1} R(2212,146) { ! distinct_points(
% 38.05/38.48 intersection_point( skol3, skol4 ), intersection_point( X, skol2 ) ), !
% 38.05/38.48 distinct_lines( skol1, skol2 ), ! convergent_lines( X, skol2 ),
% 38.05/38.48 apart_point_and_line( intersection_point( X, skol2 ), skol1 ) }.
% 38.05/38.48 (9262) {G4,W7,D3,L1,V0,M1} R(4091,145);f;r(15) { distinct_points(
% 38.05/38.48 intersection_point( skol1, skol2 ), intersection_point( skol3, skol4 ) )
% 38.05/38.48 }.
% 38.05/38.48 (9292) {G5,W7,D3,L1,V0,M1} R(9262,21) { distinct_points( intersection_point
% 38.05/38.48 ( skol3, skol4 ), intersection_point( skol1, skol2 ) ) }.
% 38.05/38.48 (10520) {G6,W6,D2,L2,V0,M1} R(8926,145);f;r(9292) { ! convergent_lines(
% 38.05/38.48 skol1, skol2 ), ! distinct_lines( skol1, skol2 ) }.
% 38.05/38.48 (10521) {G7,W3,D2,L1,V0,M1} S(10520);r(14) { ! distinct_lines( skol1, skol2
% 38.05/38.48 ) }.
% 38.05/38.48 (11038) {G8,W0,D0,L0,V0,M0} R(10521,30);r(50) { }.
% 38.05/38.48
% 38.05/38.48
% 38.05/38.48 % SZS output end Refutation
% 38.05/38.48 found a proof!
% 38.05/38.48
% 38.05/38.48
% 38.05/38.48 Unprocessed initial clauses:
% 38.05/38.48
% 38.05/38.48 (11040) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 38.05/38.48 (11041) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 38.05/38.48 (11042) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 38.05/38.48 (11043) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points(
% 38.05/38.48 X, Z ), distinct_points( Y, Z ) }.
% 38.05/38.48 (11044) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X
% 38.05/38.48 , Z ), distinct_lines( Y, Z ) }.
% 38.05/38.48 (11045) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 38.05/38.48 ( X, Z ), convergent_lines( Y, Z ) }.
% 38.05/38.48 (11046) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 38.05/38.48 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 38.05/38.48 ) }.
% 38.05/38.48 (11047) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 38.05/38.48 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 38.05/38.48 ) }.
% 38.05/38.48 (11048) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 38.05/38.48 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 38.05/38.48 Y ) ) }.
% 38.05/38.48 (11049) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 38.05/38.48 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 38.05/38.48 Y ) ) }.
% 38.05/38.48 (11050) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 38.05/38.48 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 38.05/38.48 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 38.05/38.48 (11051) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 38.05/38.48 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 38.05/38.48 (11052) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 38.05/38.48 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 38.05/38.48 (11053) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ), distinct_lines(
% 38.05/38.48 X, Y ) }.
% 38.05/38.48 (11054) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 ) }.
% 38.05/38.48 (11055) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol4 ) }.
% 38.05/38.48 (11056) {G0,W10,D3,L2,V0,M2} { apart_point_and_line( intersection_point(
% 38.05/38.48 skol1, skol2 ), skol3 ), apart_point_and_line( intersection_point( skol1
% 38.05/38.48 , skol2 ), skol4 ) }.
% 38.05/38.48 (11057) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( intersection_point(
% 38.05/38.48 skol3, skol4 ), skol1 ) }.
% 38.05/38.48 (11058) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( intersection_point(
% 38.05/38.48 skol3, skol4 ), skol2 ) }.
% 38.05/38.48
% 38.05/38.48
% 38.05/38.48 Total Proof:
% 38.05/38.48
% 38.05/38.48 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 38.05/38.48 parent0: (11040) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 0
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 38.05/38.48 parent0: (11041) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 0
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 38.05/38.48 parent0: (11042) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 0
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 38.05/38.48 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 38.05/38.48 parent0: (11043) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ),
% 38.05/38.48 distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 Y := Y
% 38.05/38.48 Z := Z
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 2
% 38.05/38.48 1 ==> 0
% 38.05/38.48 2 ==> 1
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 38.05/38.48 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 38.05/38.48 parent0: (11044) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 38.05/38.48 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 Y := Y
% 38.05/38.48 Z := Z
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 2
% 38.05/38.48 1 ==> 0
% 38.05/38.48 2 ==> 1
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 38.05/38.48 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 38.05/38.48 parent0: (11045) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ),
% 38.05/38.48 convergent_lines( X, Z ), convergent_lines( Y, Z ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 Y := Y
% 38.05/38.48 Z := Z
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 2
% 38.05/38.48 1 ==> 0
% 38.05/38.48 2 ==> 1
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 38.05/38.48 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 38.05/38.48 ( Z, X ) }.
% 38.05/38.48 parent0: (11048) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 38.05/38.48 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 38.05/38.48 Y ) ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 Y := Y
% 38.05/38.48 Z := Z
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 0
% 38.05/38.48 1 ==> 2
% 38.05/38.48 2 ==> 1
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 38.05/38.48 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 38.05/38.48 ( Z, Y ) }.
% 38.05/38.48 parent0: (11049) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 38.05/38.48 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 38.05/38.48 Y ) ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 Y := Y
% 38.05/38.48 Z := Z
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 0
% 38.05/38.48 1 ==> 2
% 38.05/38.48 2 ==> 1
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 38.05/38.48 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 38.05/38.48 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 38.05/38.48 apart_point_and_line( X, Z ) }.
% 38.05/38.48 parent0: (11050) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 38.05/38.48 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 38.05/38.48 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 38.05/38.48 apart_point_and_line( Y, T ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 Y := Y
% 38.05/38.48 Z := Z
% 38.05/38.48 T := T
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 0
% 38.05/38.48 1 ==> 1
% 38.05/38.48 2 ==> 5
% 38.05/38.48 3 ==> 2
% 38.05/38.48 4 ==> 3
% 38.05/38.48 5 ==> 4
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 38.05/38.48 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 38.05/38.48 parent0: (11051) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 38.05/38.48 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 Y := Y
% 38.05/38.48 Z := Z
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 2
% 38.05/38.48 1 ==> 0
% 38.05/38.48 2 ==> 1
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (13) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ),
% 38.05/38.48 distinct_lines( X, Y ) }.
% 38.05/38.48 parent0: (11053) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ),
% 38.05/38.48 distinct_lines( X, Y ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 Y := Y
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 0
% 38.05/38.48 1 ==> 1
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 38.05/38.48 }.
% 38.05/38.48 parent0: (11054) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol1, skol2 )
% 38.05/38.48 }.
% 38.05/38.48 substitution0:
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 0
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol4 )
% 38.05/38.48 }.
% 38.05/38.48 parent0: (11055) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol4 )
% 38.05/38.48 }.
% 38.05/38.48 substitution0:
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 0
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (16) {G0,W10,D3,L2,V0,M1} I { apart_point_and_line(
% 38.05/38.48 intersection_point( skol1, skol2 ), skol3 ), apart_point_and_line(
% 38.05/38.48 intersection_point( skol1, skol2 ), skol4 ) }.
% 38.05/38.48 parent0: (11056) {G0,W10,D3,L2,V0,M2} { apart_point_and_line(
% 38.05/38.48 intersection_point( skol1, skol2 ), skol3 ), apart_point_and_line(
% 38.05/38.48 intersection_point( skol1, skol2 ), skol4 ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 0
% 38.05/38.48 1 ==> 1
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 38.05/38.48 intersection_point( skol3, skol4 ), skol1 ) }.
% 38.05/38.48 parent0: (11057) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line(
% 38.05/38.48 intersection_point( skol3, skol4 ), skol1 ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 0
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (18) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 38.05/38.48 intersection_point( skol3, skol4 ), skol2 ) }.
% 38.05/38.48 parent0: (11058) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line(
% 38.05/38.48 intersection_point( skol3, skol4 ), skol2 ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 0
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 resolution: (11143) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 38.05/38.48 distinct_points( X, Y ) }.
% 38.05/38.48 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 38.05/38.48 parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 38.05/38.48 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 end
% 38.05/38.48 substitution1:
% 38.05/38.48 X := X
% 38.05/38.48 Y := Y
% 38.05/38.48 Z := X
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 38.05/38.48 distinct_points( X, Y ) }.
% 38.05/38.48 parent0: (11143) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 38.05/38.48 distinct_points( X, Y ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := Y
% 38.05/38.48 Y := X
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 1
% 38.05/38.48 1 ==> 0
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 resolution: (11145) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 38.05/38.48 distinct_lines( X, Y ) }.
% 38.05/38.48 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 38.05/38.48 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 38.05/38.48 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 end
% 38.05/38.48 substitution1:
% 38.05/38.48 X := X
% 38.05/38.48 Y := Y
% 38.05/38.48 Z := X
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (27) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 38.05/38.48 distinct_lines( X, Y ) }.
% 38.05/38.48 parent0: (11145) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 38.05/38.48 distinct_lines( X, Y ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := Y
% 38.05/38.48 Y := X
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 1
% 38.05/38.48 1 ==> 0
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 resolution: (11147) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 38.05/38.48 convergent_lines( X, Y ) }.
% 38.05/38.48 parent0[0]: (27) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 38.05/38.48 distinct_lines( X, Y ) }.
% 38.05/38.48 parent1[1]: (13) {G0,W6,D2,L2,V2,M1} I { ! convergent_lines( X, Y ),
% 38.05/38.48 distinct_lines( X, Y ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := Y
% 38.05/38.48 Y := X
% 38.05/38.48 end
% 38.05/38.48 substitution1:
% 38.05/38.48 X := X
% 38.05/38.48 Y := Y
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (30) {G2,W6,D2,L2,V2,M1} R(27,13) { ! convergent_lines( Y, X )
% 38.05/38.48 , distinct_lines( X, Y ) }.
% 38.05/38.48 parent0: (11147) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 38.05/38.48 convergent_lines( X, Y ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := Y
% 38.05/38.48 Y := X
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 1
% 38.05/38.48 1 ==> 0
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 resolution: (11148) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 38.05/38.48 convergent_lines( X, Y ) }.
% 38.05/38.48 parent0[0]: (2) {G0,W3,D2,L1,V1,M1} I { ! convergent_lines( X, X ) }.
% 38.05/38.48 parent1[0]: (5) {G0,W9,D2,L3,V3,M3} I { convergent_lines( X, Z ),
% 38.05/38.48 convergent_lines( Y, Z ), ! convergent_lines( X, Y ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 end
% 38.05/38.48 substitution1:
% 38.05/38.48 X := X
% 38.05/38.48 Y := Y
% 38.05/38.48 Z := X
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (47) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 38.05/38.48 convergent_lines( X, Y ) }.
% 38.05/38.48 parent0: (11148) {G1,W6,D2,L2,V2,M2} { convergent_lines( Y, X ), !
% 38.05/38.48 convergent_lines( X, Y ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := Y
% 38.05/38.48 Y := X
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 1
% 38.05/38.48 1 ==> 0
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 resolution: (11150) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol2, skol1 )
% 38.05/38.48 }.
% 38.05/38.48 parent0[0]: (47) {G1,W6,D2,L2,V2,M2} R(5,2) { ! convergent_lines( Y, X ),
% 38.05/38.48 convergent_lines( X, Y ) }.
% 38.05/38.48 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 38.05/38.48 }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := skol2
% 38.05/38.48 Y := skol1
% 38.05/38.48 end
% 38.05/38.48 substitution1:
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (50) {G2,W3,D2,L1,V0,M1} R(47,14) { convergent_lines( skol2,
% 38.05/38.48 skol1 ) }.
% 38.05/38.48 parent0: (11150) {G1,W3,D2,L1,V0,M1} { convergent_lines( skol2, skol1 )
% 38.05/38.48 }.
% 38.05/38.48 substitution0:
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 0
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 resolution: (11154) {G1,W19,D3,L5,V2,M5} { ! distinct_points(
% 38.05/38.48 intersection_point( skol3, skol4 ), X ), ! distinct_lines( skol1, Y ),
% 38.05/38.48 apart_point_and_line( intersection_point( skol3, skol4 ), Y ),
% 38.05/38.48 apart_point_and_line( X, skol1 ), apart_point_and_line( X, Y ) }.
% 38.05/38.48 parent0[0]: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 38.05/38.48 intersection_point( skol3, skol4 ), skol1 ) }.
% 38.05/38.48 parent1[5]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 38.05/38.48 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 38.05/38.48 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 38.05/38.48 apart_point_and_line( X, Z ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 end
% 38.05/38.48 substitution1:
% 38.05/38.48 X := intersection_point( skol3, skol4 )
% 38.05/38.48 Y := X
% 38.05/38.48 Z := skol1
% 38.05/38.48 T := Y
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (111) {G1,W19,D3,L5,V2,M3} R(10,17) { ! distinct_points(
% 38.05/38.48 intersection_point( skol3, skol4 ), X ), ! distinct_lines( skol1, Y ),
% 38.05/38.48 apart_point_and_line( X, skol1 ), apart_point_and_line( X, Y ),
% 38.05/38.48 apart_point_and_line( intersection_point( skol3, skol4 ), Y ) }.
% 38.05/38.48 parent0: (11154) {G1,W19,D3,L5,V2,M5} { ! distinct_points(
% 38.05/38.48 intersection_point( skol3, skol4 ), X ), ! distinct_lines( skol1, Y ),
% 38.05/38.48 apart_point_and_line( intersection_point( skol3, skol4 ), Y ),
% 38.05/38.48 apart_point_and_line( X, skol1 ), apart_point_and_line( X, Y ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 Y := Y
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 0
% 38.05/38.48 1 ==> 1
% 38.05/38.48 2 ==> 4
% 38.05/38.48 3 ==> 2
% 38.05/38.48 4 ==> 3
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 resolution: (11160) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 38.05/38.48 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 38.05/38.48 , ! apart_point_and_line( T, Y ) }.
% 38.05/38.48 parent0[2]: (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 38.05/38.48 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 38.05/38.48 ( Z, Y ) }.
% 38.05/38.48 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 38.05/38.48 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 Y := Y
% 38.05/38.48 Z := Z
% 38.05/38.48 end
% 38.05/38.48 substitution1:
% 38.05/38.48 X := T
% 38.05/38.48 Y := Y
% 38.05/38.48 Z := Z
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (137) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y ),
% 38.05/38.48 ! convergent_lines( T, Z ), distinct_points( Y, intersection_point( T, Z
% 38.05/38.48 ) ), ! apart_point_and_line( X, Z ) }.
% 38.05/38.48 parent0: (11160) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 38.05/38.48 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 38.05/38.48 , ! apart_point_and_line( T, Y ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := T
% 38.05/38.48 Y := Z
% 38.05/38.48 Z := Y
% 38.05/38.48 T := X
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 1
% 38.05/38.48 1 ==> 2
% 38.05/38.48 2 ==> 0
% 38.05/38.48 3 ==> 3
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 resolution: (11162) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 38.05/38.48 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 38.05/38.48 , ! apart_point_and_line( T, X ) }.
% 38.05/38.48 parent0[2]: (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 38.05/38.48 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 38.05/38.48 ( Z, X ) }.
% 38.05/38.48 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 38.05/38.48 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 Y := Y
% 38.05/38.48 Z := Z
% 38.05/38.48 end
% 38.05/38.48 substitution1:
% 38.05/38.48 X := T
% 38.05/38.48 Y := X
% 38.05/38.48 Z := Z
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (138) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y ),
% 38.05/38.48 ! convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z, T
% 38.05/38.48 ) ), ! apart_point_and_line( X, Z ) }.
% 38.05/38.48 parent0: (11162) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 38.05/38.48 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 38.05/38.48 , ! apart_point_and_line( T, X ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := Z
% 38.05/38.48 Y := T
% 38.05/38.48 Z := Y
% 38.05/38.48 T := X
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 1
% 38.05/38.48 1 ==> 2
% 38.05/38.48 2 ==> 0
% 38.05/38.48 3 ==> 3
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 resolution: (11164) {G1,W8,D3,L2,V1,M2} { distinct_points( X,
% 38.05/38.48 intersection_point( skol3, skol4 ) ), ! apart_point_and_line( X, skol2 )
% 38.05/38.48 }.
% 38.05/38.48 parent0[0]: (18) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line(
% 38.05/38.48 intersection_point( skol3, skol4 ), skol2 ) }.
% 38.05/38.48 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 38.05/38.48 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 end
% 38.05/38.48 substitution1:
% 38.05/38.48 X := X
% 38.05/38.48 Y := skol2
% 38.05/38.48 Z := intersection_point( skol3, skol4 )
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (142) {G1,W8,D3,L2,V1,M1} R(11,18) { distinct_points( X,
% 38.05/38.48 intersection_point( skol3, skol4 ) ), ! apart_point_and_line( X, skol2 )
% 38.05/38.48 }.
% 38.05/38.48 parent0: (11164) {G1,W8,D3,L2,V1,M2} { distinct_points( X,
% 38.05/38.48 intersection_point( skol3, skol4 ) ), ! apart_point_and_line( X, skol2 )
% 38.05/38.48 }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 0
% 38.05/38.48 1 ==> 1
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 factor: (11165) {G1,W15,D3,L3,V2,M3} { distinct_points( intersection_point
% 38.05/38.48 ( X, Y ), intersection_point( X, Y ) ), ! convergent_lines( X, Y ), !
% 38.05/38.48 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 38.05/38.48 parent0[0, 2]: (138) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y )
% 38.05/38.48 , ! convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z,
% 38.05/38.48 T ) ), ! apart_point_and_line( X, Z ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := intersection_point( X, Y )
% 38.05/38.48 Y := intersection_point( X, Y )
% 38.05/38.48 Z := X
% 38.05/38.48 T := Y
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 resolution: (11166) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 38.05/38.48 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 38.05/38.48 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 38.05/38.48 parent1[0]: (11165) {G1,W15,D3,L3,V2,M3} { distinct_points(
% 38.05/38.48 intersection_point( X, Y ), intersection_point( X, Y ) ), !
% 38.05/38.48 convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X,
% 38.05/38.48 Y ), X ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := intersection_point( X, Y )
% 38.05/38.48 end
% 38.05/38.48 substitution1:
% 38.05/38.48 X := X
% 38.05/38.48 Y := Y
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (145) {G2,W8,D3,L2,V2,M1} F(138);r(0) { ! convergent_lines( X
% 38.05/38.48 , Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 38.05/38.48 parent0: (11166) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 38.05/38.48 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 Y := Y
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 0
% 38.05/38.48 1 ==> 1
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 factor: (11167) {G1,W15,D3,L3,V2,M3} { distinct_points( intersection_point
% 38.05/38.48 ( X, Y ), intersection_point( X, Y ) ), ! convergent_lines( X, Y ), !
% 38.05/38.48 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 38.05/38.48 parent0[0, 2]: (137) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y )
% 38.05/38.48 , ! convergent_lines( T, Z ), distinct_points( Y, intersection_point( T,
% 38.05/38.48 Z ) ), ! apart_point_and_line( X, Z ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := intersection_point( X, Y )
% 38.05/38.48 Y := intersection_point( X, Y )
% 38.05/38.48 Z := Y
% 38.05/38.48 T := X
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 resolution: (11168) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 38.05/38.48 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 38.05/38.48 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 38.05/38.48 parent1[0]: (11167) {G1,W15,D3,L3,V2,M3} { distinct_points(
% 38.05/38.48 intersection_point( X, Y ), intersection_point( X, Y ) ), !
% 38.05/38.48 convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X,
% 38.05/38.48 Y ), Y ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := intersection_point( X, Y )
% 38.05/38.48 end
% 38.05/38.48 substitution1:
% 38.05/38.48 X := X
% 38.05/38.48 Y := Y
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (146) {G2,W8,D3,L2,V2,M1} F(137);r(0) { ! convergent_lines( X
% 38.05/38.48 , Y ), ! apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 38.05/38.48 parent0: (11168) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 38.05/38.48 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 Y := Y
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 0
% 38.05/38.48 1 ==> 1
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 resolution: (11170) {G1,W15,D3,L3,V1,M3} { ! convergent_lines( X, skol4 )
% 38.05/38.48 , distinct_points( intersection_point( skol1, skol2 ), intersection_point
% 38.05/38.48 ( X, skol4 ) ), apart_point_and_line( intersection_point( skol1, skol2 )
% 38.05/38.48 , skol3 ) }.
% 38.05/38.48 parent0[2]: (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 38.05/38.48 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 38.05/38.48 ( Z, Y ) }.
% 38.05/38.48 parent1[1]: (16) {G0,W10,D3,L2,V0,M1} I { apart_point_and_line(
% 38.05/38.48 intersection_point( skol1, skol2 ), skol3 ), apart_point_and_line(
% 38.05/38.48 intersection_point( skol1, skol2 ), skol4 ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 Y := skol4
% 38.05/38.48 Z := intersection_point( skol1, skol2 )
% 38.05/38.48 end
% 38.05/38.48 substitution1:
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (153) {G1,W15,D3,L3,V1,M1} R(16,9) { ! convergent_lines( X,
% 38.05/38.48 skol4 ), distinct_points( intersection_point( skol1, skol2 ),
% 38.05/38.48 intersection_point( X, skol4 ) ), apart_point_and_line(
% 38.05/38.48 intersection_point( skol1, skol2 ), skol3 ) }.
% 38.05/38.48 parent0: (11170) {G1,W15,D3,L3,V1,M3} { ! convergent_lines( X, skol4 ),
% 38.05/38.48 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 38.05/38.48 X, skol4 ) ), apart_point_and_line( intersection_point( skol1, skol2 ),
% 38.05/38.48 skol3 ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 0
% 38.05/38.48 1 ==> 1
% 38.05/38.48 2 ==> 2
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 resolution: (11176) {G2,W21,D3,L5,V1,M5} { distinct_points(
% 38.05/38.48 intersection_point( skol3, skol4 ), intersection_point( skol3, skol4 ) )
% 38.05/38.48 , ! distinct_points( intersection_point( skol3, skol4 ), X ), !
% 38.05/38.48 distinct_lines( skol1, skol2 ), apart_point_and_line( X, skol1 ),
% 38.05/38.48 apart_point_and_line( X, skol2 ) }.
% 38.05/38.48 parent0[1]: (142) {G1,W8,D3,L2,V1,M1} R(11,18) { distinct_points( X,
% 38.05/38.48 intersection_point( skol3, skol4 ) ), ! apart_point_and_line( X, skol2 )
% 38.05/38.48 }.
% 38.05/38.48 parent1[4]: (111) {G1,W19,D3,L5,V2,M3} R(10,17) { ! distinct_points(
% 38.05/38.48 intersection_point( skol3, skol4 ), X ), ! distinct_lines( skol1, Y ),
% 38.05/38.48 apart_point_and_line( X, skol1 ), apart_point_and_line( X, Y ),
% 38.05/38.48 apart_point_and_line( intersection_point( skol3, skol4 ), Y ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := intersection_point( skol3, skol4 )
% 38.05/38.48 end
% 38.05/38.48 substitution1:
% 38.05/38.48 X := X
% 38.05/38.48 Y := skol2
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 resolution: (11177) {G1,W14,D3,L4,V1,M4} { ! distinct_points(
% 38.05/38.48 intersection_point( skol3, skol4 ), X ), ! distinct_lines( skol1, skol2 )
% 38.05/38.48 , apart_point_and_line( X, skol1 ), apart_point_and_line( X, skol2 ) }.
% 38.05/38.48 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 38.05/38.48 parent1[0]: (11176) {G2,W21,D3,L5,V1,M5} { distinct_points(
% 38.05/38.48 intersection_point( skol3, skol4 ), intersection_point( skol3, skol4 ) )
% 38.05/38.48 , ! distinct_points( intersection_point( skol3, skol4 ), X ), !
% 38.05/38.48 distinct_lines( skol1, skol2 ), apart_point_and_line( X, skol1 ),
% 38.05/38.48 apart_point_and_line( X, skol2 ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := intersection_point( skol3, skol4 )
% 38.05/38.48 end
% 38.05/38.48 substitution1:
% 38.05/38.48 X := X
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (2212) {G2,W14,D3,L4,V1,M1} R(111,142);r(0) { !
% 38.05/38.48 distinct_points( intersection_point( skol3, skol4 ), X ), !
% 38.05/38.48 distinct_lines( skol1, skol2 ), apart_point_and_line( X, skol1 ),
% 38.05/38.48 apart_point_and_line( X, skol2 ) }.
% 38.05/38.48 parent0: (11177) {G1,W14,D3,L4,V1,M4} { ! distinct_points(
% 38.05/38.48 intersection_point( skol3, skol4 ), X ), ! distinct_lines( skol1, skol2 )
% 38.05/38.48 , apart_point_and_line( X, skol1 ), apart_point_and_line( X, skol2 ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 0
% 38.05/38.48 1 ==> 1
% 38.05/38.48 2 ==> 2
% 38.05/38.48 3 ==> 3
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 resolution: (11178) {G1,W18,D3,L4,V2,M4} { distinct_points(
% 38.05/38.48 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol3 )
% 38.05/38.48 , ! convergent_lines( Y, skol4 ), distinct_points( intersection_point(
% 38.05/38.48 skol1, skol2 ), intersection_point( Y, skol4 ) ) }.
% 38.05/38.48 parent0[2]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 38.05/38.48 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 38.05/38.48 parent1[2]: (153) {G1,W15,D3,L3,V1,M1} R(16,9) { ! convergent_lines( X,
% 38.05/38.48 skol4 ), distinct_points( intersection_point( skol1, skol2 ),
% 38.05/38.48 intersection_point( X, skol4 ) ), apart_point_and_line(
% 38.05/38.48 intersection_point( skol1, skol2 ), skol3 ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := intersection_point( skol1, skol2 )
% 38.05/38.48 Y := skol3
% 38.05/38.48 Z := X
% 38.05/38.48 end
% 38.05/38.48 substitution1:
% 38.05/38.48 X := Y
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (4089) {G2,W18,D3,L4,V2,M1} R(153,11) { ! convergent_lines( X
% 38.05/38.48 , skol4 ), distinct_points( intersection_point( skol1, skol2 ),
% 38.05/38.48 intersection_point( X, skol4 ) ), distinct_points( intersection_point(
% 38.05/38.48 skol1, skol2 ), Y ), apart_point_and_line( Y, skol3 ) }.
% 38.05/38.48 parent0: (11178) {G1,W18,D3,L4,V2,M4} { distinct_points(
% 38.05/38.48 intersection_point( skol1, skol2 ), X ), apart_point_and_line( X, skol3 )
% 38.05/38.48 , ! convergent_lines( Y, skol4 ), distinct_points( intersection_point(
% 38.05/38.48 skol1, skol2 ), intersection_point( Y, skol4 ) ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := Y
% 38.05/38.48 Y := X
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 2
% 38.05/38.48 1 ==> 3
% 38.05/38.48 2 ==> 0
% 38.05/38.48 3 ==> 1
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 factor: (11180) {G2,W15,D3,L3,V1,M3} { ! convergent_lines( X, skol4 ),
% 38.05/38.48 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 38.05/38.48 X, skol4 ) ), apart_point_and_line( intersection_point( X, skol4 ), skol3
% 38.05/38.48 ) }.
% 38.05/38.48 parent0[1, 2]: (4089) {G2,W18,D3,L4,V2,M1} R(153,11) { ! convergent_lines(
% 38.05/38.48 X, skol4 ), distinct_points( intersection_point( skol1, skol2 ),
% 38.05/38.48 intersection_point( X, skol4 ) ), distinct_points( intersection_point(
% 38.05/38.48 skol1, skol2 ), Y ), apart_point_and_line( Y, skol3 ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 Y := intersection_point( X, skol4 )
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (4091) {G3,W15,D3,L3,V1,M1} F(4089) { ! convergent_lines( X,
% 38.05/38.48 skol4 ), distinct_points( intersection_point( skol1, skol2 ),
% 38.05/38.48 intersection_point( X, skol4 ) ), apart_point_and_line(
% 38.05/38.48 intersection_point( X, skol4 ), skol3 ) }.
% 38.05/38.48 parent0: (11180) {G2,W15,D3,L3,V1,M3} { ! convergent_lines( X, skol4 ),
% 38.05/38.48 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 38.05/38.48 X, skol4 ) ), apart_point_and_line( intersection_point( X, skol4 ), skol3
% 38.05/38.48 ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 0
% 38.05/38.48 1 ==> 1
% 38.05/38.48 2 ==> 2
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 resolution: (11182) {G3,W18,D3,L4,V1,M4} { ! convergent_lines( X, skol2 )
% 38.05/38.48 , ! distinct_points( intersection_point( skol3, skol4 ),
% 38.05/38.48 intersection_point( X, skol2 ) ), ! distinct_lines( skol1, skol2 ),
% 38.05/38.48 apart_point_and_line( intersection_point( X, skol2 ), skol1 ) }.
% 38.05/38.48 parent0[1]: (146) {G2,W8,D3,L2,V2,M1} F(137);r(0) { ! convergent_lines( X,
% 38.05/38.48 Y ), ! apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 38.05/38.48 parent1[3]: (2212) {G2,W14,D3,L4,V1,M1} R(111,142);r(0) { ! distinct_points
% 38.05/38.48 ( intersection_point( skol3, skol4 ), X ), ! distinct_lines( skol1, skol2
% 38.05/38.48 ), apart_point_and_line( X, skol1 ), apart_point_and_line( X, skol2 )
% 38.05/38.48 }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 Y := skol2
% 38.05/38.48 end
% 38.05/38.48 substitution1:
% 38.05/38.48 X := intersection_point( X, skol2 )
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (8926) {G3,W18,D3,L4,V1,M1} R(2212,146) { ! distinct_points(
% 38.05/38.48 intersection_point( skol3, skol4 ), intersection_point( X, skol2 ) ), !
% 38.05/38.48 distinct_lines( skol1, skol2 ), ! convergent_lines( X, skol2 ),
% 38.05/38.48 apart_point_and_line( intersection_point( X, skol2 ), skol1 ) }.
% 38.05/38.48 parent0: (11182) {G3,W18,D3,L4,V1,M4} { ! convergent_lines( X, skol2 ), !
% 38.05/38.48 distinct_points( intersection_point( skol3, skol4 ), intersection_point(
% 38.05/38.48 X, skol2 ) ), ! distinct_lines( skol1, skol2 ), apart_point_and_line(
% 38.05/38.48 intersection_point( X, skol2 ), skol1 ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := X
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 2
% 38.05/38.48 1 ==> 0
% 38.05/38.48 2 ==> 1
% 38.05/38.48 3 ==> 3
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 resolution: (11183) {G3,W13,D3,L3,V0,M3} { ! convergent_lines( skol3,
% 38.05/38.48 skol4 ), ! convergent_lines( skol3, skol4 ), distinct_points(
% 38.05/38.48 intersection_point( skol1, skol2 ), intersection_point( skol3, skol4 ) )
% 38.05/38.48 }.
% 38.05/38.48 parent0[1]: (145) {G2,W8,D3,L2,V2,M1} F(138);r(0) { ! convergent_lines( X,
% 38.05/38.48 Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 38.05/38.48 parent1[2]: (4091) {G3,W15,D3,L3,V1,M1} F(4089) { ! convergent_lines( X,
% 38.05/38.48 skol4 ), distinct_points( intersection_point( skol1, skol2 ),
% 38.05/38.48 intersection_point( X, skol4 ) ), apart_point_and_line(
% 38.05/38.48 intersection_point( X, skol4 ), skol3 ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := skol3
% 38.05/38.48 Y := skol4
% 38.05/38.48 end
% 38.05/38.48 substitution1:
% 38.05/38.48 X := skol3
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 factor: (11184) {G3,W10,D3,L2,V0,M2} { ! convergent_lines( skol3, skol4 )
% 38.05/38.48 , distinct_points( intersection_point( skol1, skol2 ), intersection_point
% 38.05/38.48 ( skol3, skol4 ) ) }.
% 38.05/38.48 parent0[0, 1]: (11183) {G3,W13,D3,L3,V0,M3} { ! convergent_lines( skol3,
% 38.05/38.48 skol4 ), ! convergent_lines( skol3, skol4 ), distinct_points(
% 38.05/38.48 intersection_point( skol1, skol2 ), intersection_point( skol3, skol4 ) )
% 38.05/38.48 }.
% 38.05/38.48 substitution0:
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 resolution: (11186) {G1,W7,D3,L1,V0,M1} { distinct_points(
% 38.05/38.48 intersection_point( skol1, skol2 ), intersection_point( skol3, skol4 ) )
% 38.05/38.48 }.
% 38.05/38.48 parent0[0]: (11184) {G3,W10,D3,L2,V0,M2} { ! convergent_lines( skol3,
% 38.05/38.48 skol4 ), distinct_points( intersection_point( skol1, skol2 ),
% 38.05/38.48 intersection_point( skol3, skol4 ) ) }.
% 38.05/38.48 parent1[0]: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol3, skol4 )
% 38.05/38.48 }.
% 38.05/38.48 substitution0:
% 38.05/38.48 end
% 38.05/38.48 substitution1:
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (9262) {G4,W7,D3,L1,V0,M1} R(4091,145);f;r(15) {
% 38.05/38.48 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 38.05/38.48 skol3, skol4 ) ) }.
% 38.05/38.48 parent0: (11186) {G1,W7,D3,L1,V0,M1} { distinct_points( intersection_point
% 38.05/38.48 ( skol1, skol2 ), intersection_point( skol3, skol4 ) ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 0
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 resolution: (11187) {G2,W7,D3,L1,V0,M1} { distinct_points(
% 38.05/38.48 intersection_point( skol3, skol4 ), intersection_point( skol1, skol2 ) )
% 38.05/38.48 }.
% 38.05/38.48 parent0[0]: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 38.05/38.48 distinct_points( X, Y ) }.
% 38.05/38.48 parent1[0]: (9262) {G4,W7,D3,L1,V0,M1} R(4091,145);f;r(15) {
% 38.05/38.48 distinct_points( intersection_point( skol1, skol2 ), intersection_point(
% 38.05/38.48 skol3, skol4 ) ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := intersection_point( skol3, skol4 )
% 38.05/38.48 Y := intersection_point( skol1, skol2 )
% 38.05/38.48 end
% 38.05/38.48 substitution1:
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (9292) {G5,W7,D3,L1,V0,M1} R(9262,21) { distinct_points(
% 38.05/38.48 intersection_point( skol3, skol4 ), intersection_point( skol1, skol2 ) )
% 38.05/38.48 }.
% 38.05/38.48 parent0: (11187) {G2,W7,D3,L1,V0,M1} { distinct_points( intersection_point
% 38.05/38.48 ( skol3, skol4 ), intersection_point( skol1, skol2 ) ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 0
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 resolution: (11188) {G3,W16,D3,L4,V0,M4} { ! convergent_lines( skol1,
% 38.05/38.48 skol2 ), ! distinct_points( intersection_point( skol3, skol4 ),
% 38.05/38.48 intersection_point( skol1, skol2 ) ), ! distinct_lines( skol1, skol2 ), !
% 38.05/38.48 convergent_lines( skol1, skol2 ) }.
% 38.05/38.48 parent0[1]: (145) {G2,W8,D3,L2,V2,M1} F(138);r(0) { ! convergent_lines( X,
% 38.05/38.48 Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 38.05/38.48 parent1[3]: (8926) {G3,W18,D3,L4,V1,M1} R(2212,146) { ! distinct_points(
% 38.05/38.48 intersection_point( skol3, skol4 ), intersection_point( X, skol2 ) ), !
% 38.05/38.48 distinct_lines( skol1, skol2 ), ! convergent_lines( X, skol2 ),
% 38.05/38.48 apart_point_and_line( intersection_point( X, skol2 ), skol1 ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 X := skol1
% 38.05/38.48 Y := skol2
% 38.05/38.48 end
% 38.05/38.48 substitution1:
% 38.05/38.48 X := skol1
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 resolution: (11190) {G4,W9,D2,L3,V0,M3} { ! convergent_lines( skol1, skol2
% 38.05/38.48 ), ! distinct_lines( skol1, skol2 ), ! convergent_lines( skol1, skol2 )
% 38.05/38.48 }.
% 38.05/38.48 parent0[1]: (11188) {G3,W16,D3,L4,V0,M4} { ! convergent_lines( skol1,
% 38.05/38.48 skol2 ), ! distinct_points( intersection_point( skol3, skol4 ),
% 38.05/38.48 intersection_point( skol1, skol2 ) ), ! distinct_lines( skol1, skol2 ), !
% 38.05/38.48 convergent_lines( skol1, skol2 ) }.
% 38.05/38.48 parent1[0]: (9292) {G5,W7,D3,L1,V0,M1} R(9262,21) { distinct_points(
% 38.05/38.48 intersection_point( skol3, skol4 ), intersection_point( skol1, skol2 ) )
% 38.05/38.48 }.
% 38.05/38.48 substitution0:
% 38.05/38.48 end
% 38.05/38.48 substitution1:
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 factor: (11191) {G4,W6,D2,L2,V0,M2} { ! convergent_lines( skol1, skol2 ),
% 38.05/38.48 ! distinct_lines( skol1, skol2 ) }.
% 38.05/38.48 parent0[0, 2]: (11190) {G4,W9,D2,L3,V0,M3} { ! convergent_lines( skol1,
% 38.05/38.48 skol2 ), ! distinct_lines( skol1, skol2 ), ! convergent_lines( skol1,
% 38.05/38.48 skol2 ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (10520) {G6,W6,D2,L2,V0,M1} R(8926,145);f;r(9292) { !
% 38.05/38.48 convergent_lines( skol1, skol2 ), ! distinct_lines( skol1, skol2 ) }.
% 38.05/38.48 parent0: (11191) {G4,W6,D2,L2,V0,M2} { ! convergent_lines( skol1, skol2 )
% 38.05/38.48 , ! distinct_lines( skol1, skol2 ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 0
% 38.05/38.48 1 ==> 1
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 resolution: (11192) {G1,W3,D2,L1,V0,M1} { ! distinct_lines( skol1, skol2 )
% 38.05/38.48 }.
% 38.05/38.48 parent0[0]: (10520) {G6,W6,D2,L2,V0,M1} R(8926,145);f;r(9292) { !
% 38.05/38.48 convergent_lines( skol1, skol2 ), ! distinct_lines( skol1, skol2 ) }.
% 38.05/38.48 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol1, skol2 )
% 38.05/38.48 }.
% 38.05/38.48 substitution0:
% 38.05/38.48 end
% 38.05/38.48 substitution1:
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (10521) {G7,W3,D2,L1,V0,M1} S(10520);r(14) { ! distinct_lines
% 38.05/38.48 ( skol1, skol2 ) }.
% 38.05/38.48 parent0: (11192) {G1,W3,D2,L1,V0,M1} { ! distinct_lines( skol1, skol2 )
% 38.05/38.48 }.
% 38.05/38.48 substitution0:
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 0 ==> 0
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 resolution: (11193) {G3,W3,D2,L1,V0,M1} { ! convergent_lines( skol2, skol1
% 38.05/38.48 ) }.
% 38.05/38.48 parent0[0]: (10521) {G7,W3,D2,L1,V0,M1} S(10520);r(14) { ! distinct_lines(
% 38.05/38.48 skol1, skol2 ) }.
% 38.05/38.48 parent1[1]: (30) {G2,W6,D2,L2,V2,M1} R(27,13) { ! convergent_lines( Y, X )
% 38.05/38.48 , distinct_lines( X, Y ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 end
% 38.05/38.48 substitution1:
% 38.05/38.48 X := skol1
% 38.05/38.48 Y := skol2
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 resolution: (11194) {G3,W0,D0,L0,V0,M0} { }.
% 38.05/38.48 parent0[0]: (11193) {G3,W3,D2,L1,V0,M1} { ! convergent_lines( skol2, skol1
% 38.05/38.48 ) }.
% 38.05/38.48 parent1[0]: (50) {G2,W3,D2,L1,V0,M1} R(47,14) { convergent_lines( skol2,
% 38.05/38.48 skol1 ) }.
% 38.05/38.48 substitution0:
% 38.05/38.48 end
% 38.05/38.48 substitution1:
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 subsumption: (11038) {G8,W0,D0,L0,V0,M0} R(10521,30);r(50) { }.
% 38.05/38.48 parent0: (11194) {G3,W0,D0,L0,V0,M0} { }.
% 38.05/38.48 substitution0:
% 38.05/38.48 end
% 38.05/38.48 permutation0:
% 38.05/38.48 end
% 38.05/38.48
% 38.05/38.48 Proof check complete!
% 38.05/38.48
% 38.05/38.48 Memory use:
% 38.05/38.48
% 38.05/38.48 space for terms: 182133
% 38.05/38.48 space for clauses: 377985
% 38.05/38.48
% 38.05/38.48
% 38.05/38.48 clauses generated: 3088565
% 38.05/38.48 clauses kept: 11039
% 38.05/38.48 clauses selected: 9545
% 38.05/38.48 clauses deleted: 78
% 38.05/38.48 clauses inuse deleted: 0
% 38.05/38.48
% 38.05/38.48 subsentry: 26578417
% 38.05/38.48 literals s-matched: 15610554
% 38.05/38.48 literals matched: 15610514
% 38.05/38.48 full subsumption: 14536185
% 38.05/38.48
% 38.05/38.48 checksum: 383914
% 38.05/38.48
% 38.05/38.48
% 38.05/38.48 Bliksem ended
%------------------------------------------------------------------------------