TSTP Solution File: GEO176+2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO176+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 02:52:17 EDT 2022
% Result : Theorem 1.24s 1.61s
% Output : Refutation 1.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO176+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jun 18 01:40:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.24/1.61 *** allocated 10000 integers for termspace/termends
% 1.24/1.61 *** allocated 10000 integers for clauses
% 1.24/1.61 *** allocated 10000 integers for justifications
% 1.24/1.61 Bliksem 1.12
% 1.24/1.61
% 1.24/1.61
% 1.24/1.61 Automatic Strategy Selection
% 1.24/1.61
% 1.24/1.61
% 1.24/1.61 Clauses:
% 1.24/1.61
% 1.24/1.61 { ! distinct_points( X, X ) }.
% 1.24/1.61 { ! distinct_lines( X, X ) }.
% 1.24/1.61 { ! convergent_lines( X, X ) }.
% 1.24/1.61 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 1.24/1.61 ) }.
% 1.24/1.61 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 1.24/1.61 }.
% 1.24/1.61 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 1.24/1.61 , Z ) }.
% 1.24/1.61 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 1.24/1.61 , Y ) ), distinct_points( Z, X ) }.
% 1.24/1.61 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 1.24/1.61 , Y ) ), distinct_points( Z, Y ) }.
% 1.24/1.61 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, X ),
% 1.24/1.61 distinct_points( Z, intersection_point( X, Y ) ) }.
% 1.24/1.61 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, Y ),
% 1.24/1.61 distinct_points( Z, intersection_point( X, Y ) ) }.
% 1.24/1.61 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 1.24/1.61 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.24/1.61 apart_point_and_line( Y, T ) }.
% 1.24/1.61 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 1.24/1.61 apart_point_and_line( Z, Y ) }.
% 1.24/1.61 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 1.24/1.61 apart_point_and_line( X, Z ) }.
% 1.24/1.61 { ! convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 1.24/1.61 { distinct_points( skol1, skol4 ) }.
% 1.24/1.61 { convergent_lines( skol2, skol3 ) }.
% 1.24/1.61 { apart_point_and_line( skol1, skol2 ), apart_point_and_line( skol1, skol3
% 1.24/1.61 ) }.
% 1.24/1.61 { ! distinct_points( skol1, intersection_point( skol2, skol3 ) ) }.
% 1.24/1.61
% 1.24/1.61 percentage equality = 0.000000, percentage horn = 0.611111
% 1.24/1.61 This a non-horn, non-equality problem
% 1.24/1.61
% 1.24/1.61
% 1.24/1.61 Options Used:
% 1.24/1.61
% 1.24/1.61 useres = 1
% 1.24/1.61 useparamod = 0
% 1.24/1.61 useeqrefl = 0
% 1.24/1.61 useeqfact = 0
% 1.24/1.61 usefactor = 1
% 1.24/1.61 usesimpsplitting = 0
% 1.24/1.61 usesimpdemod = 0
% 1.24/1.61 usesimpres = 3
% 1.24/1.61
% 1.24/1.61 resimpinuse = 1000
% 1.24/1.61 resimpclauses = 20000
% 1.24/1.61 substype = standard
% 1.24/1.61 backwardsubs = 1
% 1.24/1.61 selectoldest = 5
% 1.24/1.61
% 1.24/1.61 litorderings [0] = split
% 1.24/1.61 litorderings [1] = liftord
% 1.24/1.61
% 1.24/1.61 termordering = none
% 1.24/1.61
% 1.24/1.61 litapriori = 1
% 1.24/1.61 termapriori = 0
% 1.24/1.61 litaposteriori = 0
% 1.24/1.61 termaposteriori = 0
% 1.24/1.61 demodaposteriori = 0
% 1.24/1.61 ordereqreflfact = 0
% 1.24/1.61
% 1.24/1.61 litselect = none
% 1.24/1.61
% 1.24/1.61 maxweight = 15
% 1.24/1.61 maxdepth = 30000
% 1.24/1.61 maxlength = 115
% 1.24/1.61 maxnrvars = 195
% 1.24/1.61 excuselevel = 1
% 1.24/1.61 increasemaxweight = 1
% 1.24/1.61
% 1.24/1.61 maxselected = 10000000
% 1.24/1.61 maxnrclauses = 10000000
% 1.24/1.61
% 1.24/1.61 showgenerated = 0
% 1.24/1.61 showkept = 0
% 1.24/1.61 showselected = 0
% 1.24/1.61 showdeleted = 0
% 1.24/1.61 showresimp = 1
% 1.24/1.61 showstatus = 2000
% 1.24/1.61
% 1.24/1.61 prologoutput = 0
% 1.24/1.61 nrgoals = 5000000
% 1.24/1.61 totalproof = 1
% 1.24/1.61
% 1.24/1.61 Symbols occurring in the translation:
% 1.24/1.61
% 1.24/1.61 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.24/1.61 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 1.24/1.61 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 1.24/1.61 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.24/1.61 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.24/1.61 distinct_points [36, 2] (w:1, o:45, a:1, s:1, b:0),
% 1.24/1.61 distinct_lines [37, 2] (w:1, o:46, a:1, s:1, b:0),
% 1.24/1.61 convergent_lines [38, 2] (w:1, o:44, a:1, s:1, b:0),
% 1.24/1.61 line_connecting [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 1.24/1.61 apart_point_and_line [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 1.24/1.61 intersection_point [43, 2] (w:1, o:49, a:1, s:1, b:0),
% 1.24/1.61 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.24/1.61 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.24/1.61 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.24/1.61 skol4 [49, 0] (w:1, o:14, a:1, s:1, b:0).
% 1.24/1.61
% 1.24/1.61
% 1.24/1.61 Starting Search:
% 1.24/1.61
% 1.24/1.61 *** allocated 15000 integers for clauses
% 1.24/1.61 *** allocated 22500 integers for clauses
% 1.24/1.61 *** allocated 33750 integers for clauses
% 1.24/1.61 *** allocated 15000 integers for termspace/termends
% 1.24/1.61 *** allocated 50625 integers for clauses
% 1.24/1.61 Resimplifying inuse:
% 1.24/1.61 Done
% 1.24/1.61
% 1.24/1.61 *** allocated 22500 integers for termspace/termends
% 1.24/1.61 *** allocated 75937 integers for clauses
% 1.24/1.61 *** allocated 33750 integers for termspace/termends
% 1.24/1.61
% 1.24/1.61 Bliksems!, er is een bewijs:
% 1.24/1.61 % SZS status Theorem
% 1.24/1.61 % SZS output start Refutation
% 1.24/1.61
% 1.24/1.61 (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.24/1.61 (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 1.24/1.61 ), ! distinct_points( X, Y ) }.
% 1.24/1.61 (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), distinct_points( Z
% 1.24/1.61 , intersection_point( X, Y ) ), ! apart_point_and_line( Z, X ) }.
% 1.24/1.61 (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ), distinct_points( Z
% 1.24/1.61 , intersection_point( X, Y ) ), ! apart_point_and_line( Z, Y ) }.
% 1.24/1.61 (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 1.24/1.61 ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.24/1.61 (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol2, skol3 ) }.
% 1.24/1.61 (16) {G0,W6,D2,L2,V0,M1} I { apart_point_and_line( skol1, skol2 ),
% 1.24/1.61 apart_point_and_line( skol1, skol3 ) }.
% 1.24/1.61 (17) {G0,W5,D3,L1,V0,M1} I { ! distinct_points( skol1, intersection_point(
% 1.24/1.61 skol2, skol3 ) ) }.
% 1.24/1.61 (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 1.24/1.61 distinct_points( X, Y ) }.
% 1.24/1.61 (24) {G2,W5,D3,L1,V0,M1} R(21,17) { ! distinct_points( intersection_point(
% 1.24/1.61 skol2, skol3 ), skol1 ) }.
% 1.24/1.61 (104) {G1,W12,D2,L4,V4,M2} R(11,11) { distinct_points( X, Y ),
% 1.24/1.61 distinct_points( Y, T ), apart_point_and_line( T, Z ), !
% 1.24/1.61 apart_point_and_line( X, Z ) }.
% 1.24/1.61 (109) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y ), !
% 1.24/1.61 convergent_lines( T, Z ), distinct_points( Y, intersection_point( T, Z )
% 1.24/1.61 ), ! apart_point_and_line( X, Z ) }.
% 1.24/1.61 (110) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y ), !
% 1.24/1.61 convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z, T )
% 1.24/1.61 ), ! apart_point_and_line( X, Z ) }.
% 1.24/1.61 (116) {G2,W8,D3,L2,V2,M1} F(110);r(0) { ! convergent_lines( X, Y ), !
% 1.24/1.61 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 1.24/1.61 (117) {G2,W8,D3,L2,V2,M1} F(109);r(0) { ! convergent_lines( X, Y ), !
% 1.24/1.61 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 1.24/1.61 (767) {G2,W15,D2,L5,V5,M2} R(104,11) { distinct_points( X, Y ),
% 1.24/1.61 distinct_points( Y, Z ), distinct_points( Z, U ), apart_point_and_line( U
% 1.24/1.61 , T ), ! apart_point_and_line( X, T ) }.
% 1.24/1.61 (768) {G3,W9,D2,L3,V3,M2} F(767);r(21) { distinct_points( Y, X ), !
% 1.24/1.61 apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ) }.
% 1.24/1.61 (818) {G4,W9,D2,L3,V1,M1} R(768,16) { distinct_points( X, skol1 ),
% 1.24/1.61 apart_point_and_line( skol1, skol2 ), apart_point_and_line( X, skol3 )
% 1.24/1.61 }.
% 1.24/1.61 (882) {G5,W11,D3,L3,V1,M1} R(818,117) { distinct_points( intersection_point
% 1.24/1.61 ( X, skol3 ), skol1 ), ! convergent_lines( X, skol3 ),
% 1.24/1.61 apart_point_and_line( skol1, skol2 ) }.
% 1.24/1.61 (1067) {G6,W14,D3,L4,V2,M1} R(882,768) { ! convergent_lines( X, skol3 ),
% 1.24/1.61 distinct_points( intersection_point( X, skol3 ), skol1 ), distinct_points
% 1.24/1.61 ( Y, skol1 ), apart_point_and_line( Y, skol2 ) }.
% 1.24/1.61 (1071) {G7,W13,D3,L3,V1,M1} F(1067) { ! convergent_lines( X, skol3 ),
% 1.24/1.61 distinct_points( intersection_point( X, skol3 ), skol1 ),
% 1.24/1.61 apart_point_and_line( intersection_point( X, skol3 ), skol2 ) }.
% 1.24/1.61 (1761) {G8,W5,D3,L1,V0,M1} R(1071,116);f;r(15) { distinct_points(
% 1.24/1.61 intersection_point( skol2, skol3 ), skol1 ) }.
% 1.24/1.61 (1762) {G9,W0,D0,L0,V0,M0} S(1761);r(24) { }.
% 1.24/1.61
% 1.24/1.61
% 1.24/1.61 % SZS output end Refutation
% 1.24/1.61 found a proof!
% 1.24/1.61
% 1.24/1.61
% 1.24/1.61 Unprocessed initial clauses:
% 1.24/1.61
% 1.24/1.61 (1764) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 1.24/1.61 (1765) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 1.24/1.61 (1766) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 1.24/1.61 (1767) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 1.24/1.61 , Z ), distinct_points( Y, Z ) }.
% 1.24/1.61 (1768) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 1.24/1.61 Z ), distinct_lines( Y, Z ) }.
% 1.24/1.61 (1769) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 1.24/1.61 ( X, Z ), convergent_lines( Y, Z ) }.
% 1.24/1.61 (1770) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 1.24/1.61 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 1.24/1.61 ) }.
% 1.24/1.61 (1771) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 1.24/1.61 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 1.24/1.61 ) }.
% 1.24/1.61 (1772) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 1.24/1.61 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 1.24/1.61 Y ) ) }.
% 1.24/1.61 (1773) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 1.24/1.61 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 1.24/1.61 Y ) ) }.
% 1.24/1.61 (1774) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 1.24/1.61 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 1.24/1.61 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 1.24/1.61 (1775) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.24/1.61 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 1.24/1.61 (1776) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.24/1.61 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 1.24/1.61 (1777) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ), distinct_lines( X
% 1.24/1.61 , Y ) }.
% 1.24/1.61 (1778) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol4 ) }.
% 1.24/1.61 (1779) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol2, skol3 ) }.
% 1.24/1.61 (1780) {G0,W6,D2,L2,V0,M2} { apart_point_and_line( skol1, skol2 ),
% 1.24/1.61 apart_point_and_line( skol1, skol3 ) }.
% 1.24/1.61 (1781) {G0,W5,D3,L1,V0,M1} { ! distinct_points( skol1, intersection_point
% 1.24/1.61 ( skol2, skol3 ) ) }.
% 1.24/1.61
% 1.24/1.61
% 1.24/1.61 Total Proof:
% 1.24/1.61
% 1.24/1.61 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.24/1.61 parent0: (1764) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := X
% 1.24/1.61 end
% 1.24/1.61 permutation0:
% 1.24/1.61 0 ==> 0
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 subsumption: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 1.24/1.61 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 1.24/1.61 parent0: (1767) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ),
% 1.24/1.61 distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := X
% 1.24/1.61 Y := Y
% 1.24/1.61 Z := Z
% 1.24/1.61 end
% 1.24/1.61 permutation0:
% 1.24/1.61 0 ==> 2
% 1.24/1.61 1 ==> 0
% 1.24/1.61 2 ==> 1
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 subsumption: (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 1.24/1.61 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 1.24/1.61 ( Z, X ) }.
% 1.24/1.61 parent0: (1772) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 1.24/1.61 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 1.24/1.61 Y ) ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := X
% 1.24/1.61 Y := Y
% 1.24/1.61 Z := Z
% 1.24/1.61 end
% 1.24/1.61 permutation0:
% 1.24/1.61 0 ==> 0
% 1.24/1.61 1 ==> 2
% 1.24/1.61 2 ==> 1
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 subsumption: (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 1.24/1.61 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 1.24/1.61 ( Z, Y ) }.
% 1.24/1.61 parent0: (1773) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 1.24/1.61 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 1.24/1.61 Y ) ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := X
% 1.24/1.61 Y := Y
% 1.24/1.61 Z := Z
% 1.24/1.61 end
% 1.24/1.61 permutation0:
% 1.24/1.61 0 ==> 0
% 1.24/1.61 1 ==> 2
% 1.24/1.61 2 ==> 1
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 1.24/1.61 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.24/1.61 parent0: (1775) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.24/1.61 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := X
% 1.24/1.61 Y := Y
% 1.24/1.61 Z := Z
% 1.24/1.61 end
% 1.24/1.61 permutation0:
% 1.24/1.61 0 ==> 2
% 1.24/1.61 1 ==> 0
% 1.24/1.61 2 ==> 1
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 subsumption: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol2, skol3 )
% 1.24/1.61 }.
% 1.24/1.61 parent0: (1779) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol2, skol3 ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 end
% 1.24/1.61 permutation0:
% 1.24/1.61 0 ==> 0
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 subsumption: (16) {G0,W6,D2,L2,V0,M1} I { apart_point_and_line( skol1,
% 1.24/1.61 skol2 ), apart_point_and_line( skol1, skol3 ) }.
% 1.24/1.61 parent0: (1780) {G0,W6,D2,L2,V0,M2} { apart_point_and_line( skol1, skol2 )
% 1.24/1.61 , apart_point_and_line( skol1, skol3 ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 end
% 1.24/1.61 permutation0:
% 1.24/1.61 0 ==> 0
% 1.24/1.61 1 ==> 1
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 subsumption: (17) {G0,W5,D3,L1,V0,M1} I { ! distinct_points( skol1,
% 1.24/1.61 intersection_point( skol2, skol3 ) ) }.
% 1.24/1.61 parent0: (1781) {G0,W5,D3,L1,V0,M1} { ! distinct_points( skol1,
% 1.24/1.61 intersection_point( skol2, skol3 ) ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 end
% 1.24/1.61 permutation0:
% 1.24/1.61 0 ==> 0
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 resolution: (1825) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 1.24/1.61 distinct_points( X, Y ) }.
% 1.24/1.61 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.24/1.61 parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 1.24/1.61 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := X
% 1.24/1.61 end
% 1.24/1.61 substitution1:
% 1.24/1.61 X := X
% 1.24/1.61 Y := Y
% 1.24/1.61 Z := X
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 subsumption: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 1.24/1.61 distinct_points( X, Y ) }.
% 1.24/1.61 parent0: (1825) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 1.24/1.61 distinct_points( X, Y ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := Y
% 1.24/1.61 Y := X
% 1.24/1.61 end
% 1.24/1.61 permutation0:
% 1.24/1.61 0 ==> 1
% 1.24/1.61 1 ==> 0
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 resolution: (1827) {G1,W5,D3,L1,V0,M1} { ! distinct_points(
% 1.24/1.61 intersection_point( skol2, skol3 ), skol1 ) }.
% 1.24/1.61 parent0[0]: (17) {G0,W5,D3,L1,V0,M1} I { ! distinct_points( skol1,
% 1.24/1.61 intersection_point( skol2, skol3 ) ) }.
% 1.24/1.61 parent1[1]: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 1.24/1.61 distinct_points( X, Y ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 end
% 1.24/1.61 substitution1:
% 1.24/1.61 X := skol1
% 1.24/1.61 Y := intersection_point( skol2, skol3 )
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 subsumption: (24) {G2,W5,D3,L1,V0,M1} R(21,17) { ! distinct_points(
% 1.24/1.61 intersection_point( skol2, skol3 ), skol1 ) }.
% 1.24/1.61 parent0: (1827) {G1,W5,D3,L1,V0,M1} { ! distinct_points(
% 1.24/1.61 intersection_point( skol2, skol3 ), skol1 ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 end
% 1.24/1.61 permutation0:
% 1.24/1.61 0 ==> 0
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 resolution: (1828) {G1,W12,D2,L4,V4,M4} { distinct_points( X, Y ),
% 1.24/1.61 apart_point_and_line( Y, Z ), distinct_points( T, X ), !
% 1.24/1.61 apart_point_and_line( T, Z ) }.
% 1.24/1.61 parent0[2]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 1.24/1.61 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.24/1.61 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 1.24/1.61 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := X
% 1.24/1.61 Y := Z
% 1.24/1.61 Z := Y
% 1.24/1.61 end
% 1.24/1.61 substitution1:
% 1.24/1.61 X := T
% 1.24/1.61 Y := Z
% 1.24/1.61 Z := X
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 subsumption: (104) {G1,W12,D2,L4,V4,M2} R(11,11) { distinct_points( X, Y )
% 1.24/1.61 , distinct_points( Y, T ), apart_point_and_line( T, Z ), !
% 1.24/1.61 apart_point_and_line( X, Z ) }.
% 1.24/1.61 parent0: (1828) {G1,W12,D2,L4,V4,M4} { distinct_points( X, Y ),
% 1.24/1.61 apart_point_and_line( Y, Z ), distinct_points( T, X ), !
% 1.24/1.61 apart_point_and_line( T, Z ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := Y
% 1.24/1.61 Y := T
% 1.24/1.61 Z := Z
% 1.24/1.61 T := X
% 1.24/1.61 end
% 1.24/1.61 permutation0:
% 1.24/1.61 0 ==> 1
% 1.24/1.61 1 ==> 2
% 1.24/1.61 2 ==> 0
% 1.24/1.61 3 ==> 3
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 resolution: (1830) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 1.24/1.61 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 1.24/1.61 , ! apart_point_and_line( T, Y ) }.
% 1.24/1.61 parent0[2]: (9) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 1.24/1.61 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 1.24/1.61 ( Z, Y ) }.
% 1.24/1.61 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 1.24/1.61 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := X
% 1.24/1.61 Y := Y
% 1.24/1.61 Z := Z
% 1.24/1.61 end
% 1.24/1.61 substitution1:
% 1.24/1.61 X := T
% 1.24/1.61 Y := Y
% 1.24/1.61 Z := Z
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 subsumption: (109) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y ),
% 1.24/1.61 ! convergent_lines( T, Z ), distinct_points( Y, intersection_point( T, Z
% 1.24/1.61 ) ), ! apart_point_and_line( X, Z ) }.
% 1.24/1.61 parent0: (1830) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 1.24/1.61 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 1.24/1.61 , ! apart_point_and_line( T, Y ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := T
% 1.24/1.61 Y := Z
% 1.24/1.61 Z := Y
% 1.24/1.61 T := X
% 1.24/1.61 end
% 1.24/1.61 permutation0:
% 1.24/1.61 0 ==> 1
% 1.24/1.61 1 ==> 2
% 1.24/1.61 2 ==> 0
% 1.24/1.61 3 ==> 3
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 resolution: (1832) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 1.24/1.61 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 1.24/1.61 , ! apart_point_and_line( T, X ) }.
% 1.24/1.61 parent0[2]: (8) {G0,W11,D3,L3,V3,M1} I { ! convergent_lines( X, Y ),
% 1.24/1.61 distinct_points( Z, intersection_point( X, Y ) ), ! apart_point_and_line
% 1.24/1.61 ( Z, X ) }.
% 1.24/1.61 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 1.24/1.61 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := X
% 1.24/1.61 Y := Y
% 1.24/1.61 Z := Z
% 1.24/1.61 end
% 1.24/1.61 substitution1:
% 1.24/1.61 X := T
% 1.24/1.61 Y := X
% 1.24/1.61 Z := Z
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 subsumption: (110) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y ),
% 1.24/1.61 ! convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z, T
% 1.24/1.61 ) ), ! apart_point_and_line( X, Z ) }.
% 1.24/1.61 parent0: (1832) {G1,W14,D3,L4,V4,M4} { ! convergent_lines( X, Y ),
% 1.24/1.61 distinct_points( Z, intersection_point( X, Y ) ), distinct_points( T, Z )
% 1.24/1.61 , ! apart_point_and_line( T, X ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := Z
% 1.24/1.61 Y := T
% 1.24/1.61 Z := Y
% 1.24/1.61 T := X
% 1.24/1.61 end
% 1.24/1.61 permutation0:
% 1.24/1.61 0 ==> 1
% 1.24/1.61 1 ==> 2
% 1.24/1.61 2 ==> 0
% 1.24/1.61 3 ==> 3
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 factor: (1834) {G1,W15,D3,L3,V2,M3} { distinct_points( intersection_point
% 1.24/1.61 ( X, Y ), intersection_point( X, Y ) ), ! convergent_lines( X, Y ), !
% 1.24/1.61 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 1.24/1.61 parent0[0, 2]: (110) {G1,W14,D3,L4,V4,M1} R(11,8) { distinct_points( X, Y )
% 1.24/1.61 , ! convergent_lines( Z, T ), distinct_points( Y, intersection_point( Z,
% 1.24/1.61 T ) ), ! apart_point_and_line( X, Z ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := intersection_point( X, Y )
% 1.24/1.61 Y := intersection_point( X, Y )
% 1.24/1.61 Z := X
% 1.24/1.61 T := Y
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 resolution: (1835) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 1.24/1.61 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 1.24/1.61 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.24/1.61 parent1[0]: (1834) {G1,W15,D3,L3,V2,M3} { distinct_points(
% 1.24/1.61 intersection_point( X, Y ), intersection_point( X, Y ) ), !
% 1.24/1.61 convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X,
% 1.24/1.61 Y ), X ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := intersection_point( X, Y )
% 1.24/1.61 end
% 1.24/1.61 substitution1:
% 1.24/1.61 X := X
% 1.24/1.61 Y := Y
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 subsumption: (116) {G2,W8,D3,L2,V2,M1} F(110);r(0) { ! convergent_lines( X
% 1.24/1.61 , Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 1.24/1.61 parent0: (1835) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 1.24/1.61 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := X
% 1.24/1.61 Y := Y
% 1.24/1.61 end
% 1.24/1.61 permutation0:
% 1.24/1.61 0 ==> 0
% 1.24/1.61 1 ==> 1
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 factor: (1836) {G1,W15,D3,L3,V2,M3} { distinct_points( intersection_point
% 1.24/1.61 ( X, Y ), intersection_point( X, Y ) ), ! convergent_lines( X, Y ), !
% 1.24/1.61 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 1.24/1.61 parent0[0, 2]: (109) {G1,W14,D3,L4,V4,M1} R(11,9) { distinct_points( X, Y )
% 1.24/1.61 , ! convergent_lines( T, Z ), distinct_points( Y, intersection_point( T,
% 1.24/1.61 Z ) ), ! apart_point_and_line( X, Z ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := intersection_point( X, Y )
% 1.24/1.61 Y := intersection_point( X, Y )
% 1.24/1.61 Z := Y
% 1.24/1.61 T := X
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 resolution: (1837) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 1.24/1.61 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 1.24/1.61 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.24/1.61 parent1[0]: (1836) {G1,W15,D3,L3,V2,M3} { distinct_points(
% 1.24/1.61 intersection_point( X, Y ), intersection_point( X, Y ) ), !
% 1.24/1.61 convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X,
% 1.24/1.61 Y ), Y ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := intersection_point( X, Y )
% 1.24/1.61 end
% 1.24/1.61 substitution1:
% 1.24/1.61 X := X
% 1.24/1.61 Y := Y
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 subsumption: (117) {G2,W8,D3,L2,V2,M1} F(109);r(0) { ! convergent_lines( X
% 1.24/1.61 , Y ), ! apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 1.24/1.61 parent0: (1837) {G1,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 1.24/1.61 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := X
% 1.24/1.61 Y := Y
% 1.24/1.61 end
% 1.24/1.61 permutation0:
% 1.24/1.61 0 ==> 0
% 1.24/1.61 1 ==> 1
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 resolution: (1838) {G1,W15,D2,L5,V5,M5} { distinct_points( X, Y ),
% 1.24/1.61 distinct_points( Y, Z ), apart_point_and_line( Z, T ), distinct_points( U
% 1.24/1.61 , X ), ! apart_point_and_line( U, T ) }.
% 1.24/1.61 parent0[3]: (104) {G1,W12,D2,L4,V4,M2} R(11,11) { distinct_points( X, Y ),
% 1.24/1.61 distinct_points( Y, T ), apart_point_and_line( T, Z ), !
% 1.24/1.61 apart_point_and_line( X, Z ) }.
% 1.24/1.61 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 1.24/1.61 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := X
% 1.24/1.61 Y := Y
% 1.24/1.61 Z := T
% 1.24/1.61 T := Z
% 1.24/1.61 end
% 1.24/1.61 substitution1:
% 1.24/1.61 X := U
% 1.24/1.61 Y := T
% 1.24/1.61 Z := X
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 subsumption: (767) {G2,W15,D2,L5,V5,M2} R(104,11) { distinct_points( X, Y )
% 1.24/1.61 , distinct_points( Y, Z ), distinct_points( Z, U ), apart_point_and_line
% 1.24/1.61 ( U, T ), ! apart_point_and_line( X, T ) }.
% 1.24/1.61 parent0: (1838) {G1,W15,D2,L5,V5,M5} { distinct_points( X, Y ),
% 1.24/1.61 distinct_points( Y, Z ), apart_point_and_line( Z, T ), distinct_points( U
% 1.24/1.61 , X ), ! apart_point_and_line( U, T ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := Y
% 1.24/1.61 Y := Z
% 1.24/1.61 Z := U
% 1.24/1.61 T := T
% 1.24/1.61 U := X
% 1.24/1.61 end
% 1.24/1.61 permutation0:
% 1.24/1.61 0 ==> 1
% 1.24/1.61 1 ==> 2
% 1.24/1.61 2 ==> 3
% 1.24/1.61 3 ==> 0
% 1.24/1.61 4 ==> 4
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 factor: (1844) {G2,W12,D2,L4,V3,M4} { distinct_points( X, Y ),
% 1.24/1.61 distinct_points( Y, X ), apart_point_and_line( Y, Z ), !
% 1.24/1.61 apart_point_and_line( X, Z ) }.
% 1.24/1.61 parent0[0, 2]: (767) {G2,W15,D2,L5,V5,M2} R(104,11) { distinct_points( X, Y
% 1.24/1.61 ), distinct_points( Y, Z ), distinct_points( Z, U ),
% 1.24/1.61 apart_point_and_line( U, T ), ! apart_point_and_line( X, T ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := X
% 1.24/1.61 Y := Y
% 1.24/1.61 Z := X
% 1.24/1.61 T := Z
% 1.24/1.61 U := Y
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 resolution: (1850) {G2,W12,D2,L4,V3,M4} { distinct_points( Y, X ),
% 1.24/1.61 distinct_points( Y, X ), apart_point_and_line( Y, Z ), !
% 1.24/1.61 apart_point_and_line( X, Z ) }.
% 1.24/1.61 parent0[0]: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 1.24/1.61 distinct_points( X, Y ) }.
% 1.24/1.61 parent1[0]: (1844) {G2,W12,D2,L4,V3,M4} { distinct_points( X, Y ),
% 1.24/1.61 distinct_points( Y, X ), apart_point_and_line( Y, Z ), !
% 1.24/1.61 apart_point_and_line( X, Z ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := Y
% 1.24/1.61 Y := X
% 1.24/1.61 end
% 1.24/1.61 substitution1:
% 1.24/1.61 X := X
% 1.24/1.61 Y := Y
% 1.24/1.61 Z := Z
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 factor: (1852) {G2,W9,D2,L3,V3,M3} { distinct_points( X, Y ),
% 1.24/1.61 apart_point_and_line( X, Z ), ! apart_point_and_line( Y, Z ) }.
% 1.24/1.61 parent0[0, 1]: (1850) {G2,W12,D2,L4,V3,M4} { distinct_points( Y, X ),
% 1.24/1.61 distinct_points( Y, X ), apart_point_and_line( Y, Z ), !
% 1.24/1.61 apart_point_and_line( X, Z ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := Y
% 1.24/1.61 Y := X
% 1.24/1.61 Z := Z
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 subsumption: (768) {G3,W9,D2,L3,V3,M2} F(767);r(21) { distinct_points( Y, X
% 1.24/1.61 ), ! apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ) }.
% 1.24/1.61 parent0: (1852) {G2,W9,D2,L3,V3,M3} { distinct_points( X, Y ),
% 1.24/1.61 apart_point_and_line( X, Z ), ! apart_point_and_line( Y, Z ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := Y
% 1.24/1.61 Y := X
% 1.24/1.61 Z := Z
% 1.24/1.61 end
% 1.24/1.61 permutation0:
% 1.24/1.61 0 ==> 0
% 1.24/1.61 1 ==> 2
% 1.24/1.61 2 ==> 1
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 resolution: (1855) {G1,W9,D2,L3,V1,M3} { distinct_points( X, skol1 ),
% 1.24/1.61 apart_point_and_line( X, skol3 ), apart_point_and_line( skol1, skol2 )
% 1.24/1.61 }.
% 1.24/1.61 parent0[1]: (768) {G3,W9,D2,L3,V3,M2} F(767);r(21) { distinct_points( Y, X
% 1.24/1.61 ), ! apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ) }.
% 1.24/1.61 parent1[1]: (16) {G0,W6,D2,L2,V0,M1} I { apart_point_and_line( skol1, skol2
% 1.24/1.61 ), apart_point_and_line( skol1, skol3 ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := skol1
% 1.24/1.61 Y := X
% 1.24/1.61 Z := skol3
% 1.24/1.61 end
% 1.24/1.61 substitution1:
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 subsumption: (818) {G4,W9,D2,L3,V1,M1} R(768,16) { distinct_points( X,
% 1.24/1.61 skol1 ), apart_point_and_line( skol1, skol2 ), apart_point_and_line( X,
% 1.24/1.61 skol3 ) }.
% 1.24/1.61 parent0: (1855) {G1,W9,D2,L3,V1,M3} { distinct_points( X, skol1 ),
% 1.24/1.61 apart_point_and_line( X, skol3 ), apart_point_and_line( skol1, skol2 )
% 1.24/1.61 }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := X
% 1.24/1.61 end
% 1.24/1.61 permutation0:
% 1.24/1.61 0 ==> 0
% 1.24/1.61 1 ==> 2
% 1.24/1.61 2 ==> 1
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 resolution: (1856) {G3,W11,D3,L3,V1,M3} { ! convergent_lines( X, skol3 ),
% 1.24/1.61 distinct_points( intersection_point( X, skol3 ), skol1 ),
% 1.24/1.61 apart_point_and_line( skol1, skol2 ) }.
% 1.24/1.61 parent0[1]: (117) {G2,W8,D3,L2,V2,M1} F(109);r(0) { ! convergent_lines( X,
% 1.24/1.61 Y ), ! apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 1.24/1.61 parent1[2]: (818) {G4,W9,D2,L3,V1,M1} R(768,16) { distinct_points( X, skol1
% 1.24/1.61 ), apart_point_and_line( skol1, skol2 ), apart_point_and_line( X, skol3
% 1.24/1.61 ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := X
% 1.24/1.61 Y := skol3
% 1.24/1.61 end
% 1.24/1.61 substitution1:
% 1.24/1.61 X := intersection_point( X, skol3 )
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 subsumption: (882) {G5,W11,D3,L3,V1,M1} R(818,117) { distinct_points(
% 1.24/1.61 intersection_point( X, skol3 ), skol1 ), ! convergent_lines( X, skol3 ),
% 1.24/1.61 apart_point_and_line( skol1, skol2 ) }.
% 1.24/1.61 parent0: (1856) {G3,W11,D3,L3,V1,M3} { ! convergent_lines( X, skol3 ),
% 1.24/1.61 distinct_points( intersection_point( X, skol3 ), skol1 ),
% 1.24/1.61 apart_point_and_line( skol1, skol2 ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := X
% 1.24/1.61 end
% 1.24/1.61 permutation0:
% 1.24/1.61 0 ==> 1
% 1.24/1.61 1 ==> 0
% 1.24/1.61 2 ==> 2
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 resolution: (1857) {G4,W14,D3,L4,V2,M4} { distinct_points( X, skol1 ),
% 1.24/1.61 apart_point_and_line( X, skol2 ), distinct_points( intersection_point( Y
% 1.24/1.61 , skol3 ), skol1 ), ! convergent_lines( Y, skol3 ) }.
% 1.24/1.61 parent0[1]: (768) {G3,W9,D2,L3,V3,M2} F(767);r(21) { distinct_points( Y, X
% 1.24/1.61 ), ! apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ) }.
% 1.24/1.61 parent1[2]: (882) {G5,W11,D3,L3,V1,M1} R(818,117) { distinct_points(
% 1.24/1.61 intersection_point( X, skol3 ), skol1 ), ! convergent_lines( X, skol3 ),
% 1.24/1.61 apart_point_and_line( skol1, skol2 ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := skol1
% 1.24/1.61 Y := X
% 1.24/1.61 Z := skol2
% 1.24/1.61 end
% 1.24/1.61 substitution1:
% 1.24/1.61 X := Y
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 subsumption: (1067) {G6,W14,D3,L4,V2,M1} R(882,768) { ! convergent_lines( X
% 1.24/1.61 , skol3 ), distinct_points( intersection_point( X, skol3 ), skol1 ),
% 1.24/1.61 distinct_points( Y, skol1 ), apart_point_and_line( Y, skol2 ) }.
% 1.24/1.61 parent0: (1857) {G4,W14,D3,L4,V2,M4} { distinct_points( X, skol1 ),
% 1.24/1.61 apart_point_and_line( X, skol2 ), distinct_points( intersection_point( Y
% 1.24/1.61 , skol3 ), skol1 ), ! convergent_lines( Y, skol3 ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := Y
% 1.24/1.61 Y := X
% 1.24/1.61 end
% 1.24/1.61 permutation0:
% 1.24/1.61 0 ==> 2
% 1.24/1.61 1 ==> 3
% 1.24/1.61 2 ==> 1
% 1.24/1.61 3 ==> 0
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 factor: (1859) {G6,W13,D3,L3,V1,M3} { ! convergent_lines( X, skol3 ),
% 1.24/1.61 distinct_points( intersection_point( X, skol3 ), skol1 ),
% 1.24/1.61 apart_point_and_line( intersection_point( X, skol3 ), skol2 ) }.
% 1.24/1.61 parent0[1, 2]: (1067) {G6,W14,D3,L4,V2,M1} R(882,768) { ! convergent_lines
% 1.24/1.61 ( X, skol3 ), distinct_points( intersection_point( X, skol3 ), skol1 ),
% 1.24/1.61 distinct_points( Y, skol1 ), apart_point_and_line( Y, skol2 ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := X
% 1.24/1.61 Y := intersection_point( X, skol3 )
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 subsumption: (1071) {G7,W13,D3,L3,V1,M1} F(1067) { ! convergent_lines( X,
% 1.24/1.61 skol3 ), distinct_points( intersection_point( X, skol3 ), skol1 ),
% 1.24/1.61 apart_point_and_line( intersection_point( X, skol3 ), skol2 ) }.
% 1.24/1.61 parent0: (1859) {G6,W13,D3,L3,V1,M3} { ! convergent_lines( X, skol3 ),
% 1.24/1.61 distinct_points( intersection_point( X, skol3 ), skol1 ),
% 1.24/1.61 apart_point_and_line( intersection_point( X, skol3 ), skol2 ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := X
% 1.24/1.61 end
% 1.24/1.61 permutation0:
% 1.24/1.61 0 ==> 0
% 1.24/1.61 1 ==> 1
% 1.24/1.61 2 ==> 2
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 resolution: (1860) {G3,W11,D3,L3,V0,M3} { ! convergent_lines( skol2, skol3
% 1.24/1.61 ), ! convergent_lines( skol2, skol3 ), distinct_points(
% 1.24/1.61 intersection_point( skol2, skol3 ), skol1 ) }.
% 1.24/1.61 parent0[1]: (116) {G2,W8,D3,L2,V2,M1} F(110);r(0) { ! convergent_lines( X,
% 1.24/1.61 Y ), ! apart_point_and_line( intersection_point( X, Y ), X ) }.
% 1.24/1.61 parent1[2]: (1071) {G7,W13,D3,L3,V1,M1} F(1067) { ! convergent_lines( X,
% 1.24/1.61 skol3 ), distinct_points( intersection_point( X, skol3 ), skol1 ),
% 1.24/1.61 apart_point_and_line( intersection_point( X, skol3 ), skol2 ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 X := skol2
% 1.24/1.61 Y := skol3
% 1.24/1.61 end
% 1.24/1.61 substitution1:
% 1.24/1.61 X := skol2
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 factor: (1861) {G3,W8,D3,L2,V0,M2} { ! convergent_lines( skol2, skol3 ),
% 1.24/1.61 distinct_points( intersection_point( skol2, skol3 ), skol1 ) }.
% 1.24/1.61 parent0[0, 1]: (1860) {G3,W11,D3,L3,V0,M3} { ! convergent_lines( skol2,
% 1.24/1.61 skol3 ), ! convergent_lines( skol2, skol3 ), distinct_points(
% 1.24/1.61 intersection_point( skol2, skol3 ), skol1 ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 resolution: (1863) {G1,W5,D3,L1,V0,M1} { distinct_points(
% 1.24/1.61 intersection_point( skol2, skol3 ), skol1 ) }.
% 1.24/1.61 parent0[0]: (1861) {G3,W8,D3,L2,V0,M2} { ! convergent_lines( skol2, skol3
% 1.24/1.61 ), distinct_points( intersection_point( skol2, skol3 ), skol1 ) }.
% 1.24/1.61 parent1[0]: (15) {G0,W3,D2,L1,V0,M1} I { convergent_lines( skol2, skol3 )
% 1.24/1.61 }.
% 1.24/1.61 substitution0:
% 1.24/1.61 end
% 1.24/1.61 substitution1:
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 subsumption: (1761) {G8,W5,D3,L1,V0,M1} R(1071,116);f;r(15) {
% 1.24/1.61 distinct_points( intersection_point( skol2, skol3 ), skol1 ) }.
% 1.24/1.61 parent0: (1863) {G1,W5,D3,L1,V0,M1} { distinct_points( intersection_point
% 1.24/1.61 ( skol2, skol3 ), skol1 ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 end
% 1.24/1.61 permutation0:
% 1.24/1.61 0 ==> 0
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 resolution: (1864) {G3,W0,D0,L0,V0,M0} { }.
% 1.24/1.61 parent0[0]: (24) {G2,W5,D3,L1,V0,M1} R(21,17) { ! distinct_points(
% 1.24/1.61 intersection_point( skol2, skol3 ), skol1 ) }.
% 1.24/1.61 parent1[0]: (1761) {G8,W5,D3,L1,V0,M1} R(1071,116);f;r(15) {
% 1.24/1.61 distinct_points( intersection_point( skol2, skol3 ), skol1 ) }.
% 1.24/1.61 substitution0:
% 1.24/1.61 end
% 1.24/1.61 substitution1:
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 subsumption: (1762) {G9,W0,D0,L0,V0,M0} S(1761);r(24) { }.
% 1.24/1.61 parent0: (1864) {G3,W0,D0,L0,V0,M0} { }.
% 1.24/1.61 substitution0:
% 1.24/1.61 end
% 1.24/1.61 permutation0:
% 1.24/1.61 end
% 1.24/1.61
% 1.24/1.61 Proof check complete!
% 1.24/1.61
% 1.24/1.61 Memory use:
% 1.24/1.61
% 1.24/1.61 space for terms: 25448
% 1.24/1.61 space for clauses: 60593
% 1.24/1.61
% 1.24/1.61
% 1.24/1.61 clauses generated: 49172
% 1.24/1.61 clauses kept: 1763
% 1.24/1.61 clauses selected: 545
% 1.24/1.61 clauses deleted: 4
% 1.24/1.61 clauses inuse deleted: 0
% 1.24/1.61
% 1.24/1.61 subsentry: 228662
% 1.24/1.61 literals s-matched: 133784
% 1.24/1.61 literals matched: 133761
% 1.24/1.61 full subsumption: 101961
% 1.24/1.61
% 1.24/1.61 checksum: 6958377
% 1.24/1.61
% 1.24/1.61
% 1.24/1.61 Bliksem ended
%------------------------------------------------------------------------------