TSTP Solution File: GEO170+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO170+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 02:52:11 EDT 2022
% Result : Theorem 1.24s 1.66s
% Output : Refutation 1.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO170+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Fri Jun 17 20:31:02 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.24/1.66 *** allocated 10000 integers for termspace/termends
% 1.24/1.66 *** allocated 10000 integers for clauses
% 1.24/1.66 *** allocated 10000 integers for justifications
% 1.24/1.66 Bliksem 1.12
% 1.24/1.66
% 1.24/1.66
% 1.24/1.66 Automatic Strategy Selection
% 1.24/1.66
% 1.24/1.66
% 1.24/1.66 Clauses:
% 1.24/1.66
% 1.24/1.66 { ! distinct_points( X, X ) }.
% 1.24/1.66 { ! distinct_lines( X, X ) }.
% 1.24/1.66 { ! convergent_lines( X, X ) }.
% 1.24/1.66 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 1.24/1.66 ) }.
% 1.24/1.66 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 1.24/1.66 }.
% 1.24/1.66 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 1.24/1.66 , Z ) }.
% 1.24/1.66 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 1.24/1.66 , Y ) ), distinct_points( Z, X ) }.
% 1.24/1.66 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 1.24/1.66 , Y ) ), distinct_points( Z, Y ) }.
% 1.24/1.66 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, X ),
% 1.24/1.66 distinct_points( Z, intersection_point( X, Y ) ) }.
% 1.24/1.66 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, Y ),
% 1.24/1.66 distinct_points( Z, intersection_point( X, Y ) ) }.
% 1.24/1.66 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 1.24/1.66 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.24/1.66 apart_point_and_line( Y, T ) }.
% 1.24/1.66 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 1.24/1.66 apart_point_and_line( Z, Y ) }.
% 1.24/1.66 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 1.24/1.66 apart_point_and_line( X, Z ) }.
% 1.24/1.66 { ! convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 1.24/1.66 { distinct_points( skol1, skol2 ) }.
% 1.24/1.66 { ! apart_point_and_line( skol1, skol3 ) }.
% 1.24/1.66 { ! apart_point_and_line( skol2, skol3 ) }.
% 1.24/1.66 { distinct_lines( skol3, line_connecting( skol1, skol2 ) ) }.
% 1.24/1.66
% 1.24/1.66 percentage equality = 0.000000, percentage horn = 0.666667
% 1.24/1.66 This a non-horn, non-equality problem
% 1.24/1.66
% 1.24/1.66
% 1.24/1.66 Options Used:
% 1.24/1.66
% 1.24/1.66 useres = 1
% 1.24/1.66 useparamod = 0
% 1.24/1.66 useeqrefl = 0
% 1.24/1.66 useeqfact = 0
% 1.24/1.66 usefactor = 1
% 1.24/1.66 usesimpsplitting = 0
% 1.24/1.66 usesimpdemod = 0
% 1.24/1.66 usesimpres = 3
% 1.24/1.66
% 1.24/1.66 resimpinuse = 1000
% 1.24/1.66 resimpclauses = 20000
% 1.24/1.66 substype = standard
% 1.24/1.66 backwardsubs = 1
% 1.24/1.66 selectoldest = 5
% 1.24/1.66
% 1.24/1.66 litorderings [0] = split
% 1.24/1.66 litorderings [1] = liftord
% 1.24/1.66
% 1.24/1.66 termordering = none
% 1.24/1.66
% 1.24/1.66 litapriori = 1
% 1.24/1.66 termapriori = 0
% 1.24/1.66 litaposteriori = 0
% 1.24/1.66 termaposteriori = 0
% 1.24/1.66 demodaposteriori = 0
% 1.24/1.66 ordereqreflfact = 0
% 1.24/1.66
% 1.24/1.66 litselect = none
% 1.24/1.66
% 1.24/1.66 maxweight = 15
% 1.24/1.66 maxdepth = 30000
% 1.24/1.66 maxlength = 115
% 1.24/1.66 maxnrvars = 195
% 1.24/1.66 excuselevel = 1
% 1.24/1.66 increasemaxweight = 1
% 1.24/1.66
% 1.24/1.66 maxselected = 10000000
% 1.24/1.66 maxnrclauses = 10000000
% 1.24/1.66
% 1.24/1.66 showgenerated = 0
% 1.24/1.66 showkept = 0
% 1.24/1.66 showselected = 0
% 1.24/1.66 showdeleted = 0
% 1.24/1.66 showresimp = 1
% 1.24/1.66 showstatus = 2000
% 1.24/1.66
% 1.24/1.66 prologoutput = 0
% 1.24/1.66 nrgoals = 5000000
% 1.24/1.66 totalproof = 1
% 1.24/1.66
% 1.24/1.66 Symbols occurring in the translation:
% 1.24/1.66
% 1.24/1.66 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.24/1.66 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 1.24/1.66 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 1.24/1.66 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.24/1.66 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.24/1.66 distinct_points [36, 2] (w:1, o:44, a:1, s:1, b:0),
% 1.24/1.66 distinct_lines [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 1.24/1.66 convergent_lines [38, 2] (w:1, o:43, a:1, s:1, b:0),
% 1.24/1.66 line_connecting [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 1.24/1.66 apart_point_and_line [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 1.24/1.66 intersection_point [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 1.24/1.66 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.24/1.66 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.24/1.66 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0).
% 1.24/1.66
% 1.24/1.66
% 1.24/1.66 Starting Search:
% 1.24/1.66
% 1.24/1.66 *** allocated 15000 integers for clauses
% 1.24/1.66 *** allocated 22500 integers for clauses
% 1.24/1.66 *** allocated 33750 integers for clauses
% 1.24/1.66 *** allocated 15000 integers for termspace/termends
% 1.24/1.66 *** allocated 50625 integers for clauses
% 1.24/1.66 *** allocated 22500 integers for termspace/termends
% 1.24/1.66 Resimplifying inuse:
% 1.24/1.66 Done
% 1.24/1.66
% 1.24/1.66
% 1.24/1.66 Bliksems!, er is een bewijs:
% 1.24/1.66 % SZS status Theorem
% 1.24/1.66 % SZS output start Refutation
% 1.24/1.66
% 1.24/1.66 (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.24/1.66 (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 1.24/1.66 ), ! distinct_points( X, Y ) }.
% 1.24/1.66 (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ), distinct_points( Z
% 1.24/1.66 , X ), ! apart_point_and_line( Z, line_connecting( X, Y ) ) }.
% 1.24/1.66 (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ), distinct_points( Z
% 1.24/1.66 , Y ), ! apart_point_and_line( Z, line_connecting( X, Y ) ) }.
% 1.24/1.66 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 1.24/1.66 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.24/1.66 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 1.24/1.66 (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 1.24/1.66 ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.24/1.66 (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 ) }.
% 1.24/1.66 (15) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1, skol3 ) }.
% 1.24/1.66 (16) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol2, skol3 ) }.
% 1.24/1.66 (17) {G0,W5,D3,L1,V0,M1} I { distinct_lines( skol3, line_connecting( skol1
% 1.24/1.66 , skol2 ) ) }.
% 1.24/1.66 (20) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 1.24/1.66 distinct_points( X, Y ) }.
% 1.24/1.66 (22) {G2,W3,D2,L1,V0,M1} R(20,14) { distinct_points( skol2, skol1 ) }.
% 1.24/1.66 (108) {G1,W15,D2,L5,V2,M3} R(10,15) { ! distinct_points( X, skol1 ), !
% 1.24/1.66 distinct_lines( skol3, Y ), apart_point_and_line( skol1, Y ),
% 1.24/1.66 apart_point_and_line( X, skol3 ), apart_point_and_line( X, Y ) }.
% 1.24/1.66 (138) {G1,W14,D3,L4,V4,M1} R(11,7) { distinct_points( X, Y ), !
% 1.24/1.66 distinct_points( Z, T ), distinct_points( Y, T ), ! apart_point_and_line
% 1.24/1.66 ( X, line_connecting( Z, T ) ) }.
% 1.24/1.66 (139) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y ), !
% 1.24/1.66 distinct_points( Z, T ), distinct_points( Y, Z ), ! apart_point_and_line
% 1.24/1.66 ( X, line_connecting( Z, T ) ) }.
% 1.24/1.66 (142) {G2,W8,D3,L2,V2,M1} F(139);r(0) { ! distinct_points( X, Y ), !
% 1.24/1.66 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.24/1.66 (143) {G2,W8,D3,L2,V2,M1} F(138);r(0) { ! distinct_points( Y, X ), !
% 1.24/1.66 apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 1.24/1.66 (658) {G3,W9,D2,L3,V1,M1} R(108,16);r(22) { ! distinct_lines( skol3, X ),
% 1.24/1.66 apart_point_and_line( skol1, X ), apart_point_and_line( skol2, X ) }.
% 1.24/1.66 (679) {G4,W13,D3,L3,V1,M1} R(658,143) { ! distinct_lines( skol3,
% 1.24/1.66 line_connecting( X, skol2 ) ), ! distinct_points( X, skol2 ),
% 1.24/1.66 apart_point_and_line( skol1, line_connecting( X, skol2 ) ) }.
% 1.24/1.66 (1328) {G5,W3,D2,L1,V0,M1} R(679,142);f;r(17) { ! distinct_points( skol1,
% 1.24/1.66 skol2 ) }.
% 1.24/1.66 (1331) {G6,W0,D0,L0,V0,M0} S(1328);r(14) { }.
% 1.24/1.66
% 1.24/1.66
% 1.24/1.66 % SZS output end Refutation
% 1.24/1.66 found a proof!
% 1.24/1.66
% 1.24/1.66
% 1.24/1.66 Unprocessed initial clauses:
% 1.24/1.66
% 1.24/1.66 (1333) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 1.24/1.66 (1334) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 1.24/1.66 (1335) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 1.24/1.66 (1336) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 1.24/1.66 , Z ), distinct_points( Y, Z ) }.
% 1.24/1.66 (1337) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 1.24/1.66 Z ), distinct_lines( Y, Z ) }.
% 1.24/1.66 (1338) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 1.24/1.66 ( X, Z ), convergent_lines( Y, Z ) }.
% 1.24/1.66 (1339) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 1.24/1.66 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 1.24/1.66 ) }.
% 1.24/1.66 (1340) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 1.24/1.66 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 1.24/1.66 ) }.
% 1.24/1.66 (1341) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 1.24/1.66 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 1.24/1.66 Y ) ) }.
% 1.24/1.66 (1342) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 1.24/1.66 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 1.24/1.66 Y ) ) }.
% 1.24/1.66 (1343) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 1.24/1.66 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 1.24/1.66 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 1.24/1.66 (1344) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.24/1.66 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 1.24/1.66 (1345) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.24/1.66 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 1.24/1.66 (1346) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ), distinct_lines( X
% 1.24/1.66 , Y ) }.
% 1.24/1.66 (1347) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 1.24/1.66 (1348) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol1, skol3 ) }.
% 1.24/1.66 (1349) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol2, skol3 ) }.
% 1.24/1.66 (1350) {G0,W5,D3,L1,V0,M1} { distinct_lines( skol3, line_connecting( skol1
% 1.24/1.66 , skol2 ) ) }.
% 1.24/1.66
% 1.24/1.66
% 1.24/1.66 Total Proof:
% 1.24/1.66
% 1.24/1.66 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.24/1.66 parent0: (1333) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 X := X
% 1.24/1.66 end
% 1.24/1.66 permutation0:
% 1.24/1.66 0 ==> 0
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 subsumption: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 1.24/1.66 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 1.24/1.66 parent0: (1336) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ),
% 1.24/1.66 distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 X := X
% 1.24/1.66 Y := Y
% 1.24/1.66 Z := Z
% 1.24/1.66 end
% 1.24/1.66 permutation0:
% 1.24/1.66 0 ==> 2
% 1.24/1.66 1 ==> 0
% 1.24/1.66 2 ==> 1
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 subsumption: (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 1.24/1.66 distinct_points( Z, X ), ! apart_point_and_line( Z, line_connecting( X, Y
% 1.24/1.66 ) ) }.
% 1.24/1.66 parent0: (1339) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 1.24/1.66 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 1.24/1.66 ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 X := X
% 1.24/1.66 Y := Y
% 1.24/1.66 Z := Z
% 1.24/1.66 end
% 1.24/1.66 permutation0:
% 1.24/1.66 0 ==> 0
% 1.24/1.66 1 ==> 2
% 1.24/1.66 2 ==> 1
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 subsumption: (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 1.24/1.66 distinct_points( Z, Y ), ! apart_point_and_line( Z, line_connecting( X, Y
% 1.24/1.66 ) ) }.
% 1.24/1.66 parent0: (1340) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 1.24/1.66 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 1.24/1.66 ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 X := X
% 1.24/1.66 Y := Y
% 1.24/1.66 Z := Z
% 1.24/1.66 end
% 1.24/1.66 permutation0:
% 1.24/1.66 0 ==> 0
% 1.24/1.66 1 ==> 2
% 1.24/1.66 2 ==> 1
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 1.24/1.66 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 1.24/1.66 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 1.24/1.66 apart_point_and_line( X, Z ) }.
% 1.24/1.66 parent0: (1343) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 1.24/1.66 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 1.24/1.66 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.24/1.66 apart_point_and_line( Y, T ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 X := X
% 1.24/1.66 Y := Y
% 1.24/1.66 Z := Z
% 1.24/1.66 T := T
% 1.24/1.66 end
% 1.24/1.66 permutation0:
% 1.24/1.66 0 ==> 0
% 1.24/1.66 1 ==> 1
% 1.24/1.66 2 ==> 5
% 1.24/1.66 3 ==> 2
% 1.24/1.66 4 ==> 3
% 1.24/1.66 5 ==> 4
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 1.24/1.66 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.24/1.66 parent0: (1344) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.24/1.66 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 X := X
% 1.24/1.66 Y := Y
% 1.24/1.66 Z := Z
% 1.24/1.66 end
% 1.24/1.66 permutation0:
% 1.24/1.66 0 ==> 2
% 1.24/1.66 1 ==> 0
% 1.24/1.66 2 ==> 1
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.24/1.66 }.
% 1.24/1.66 parent0: (1347) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 end
% 1.24/1.66 permutation0:
% 1.24/1.66 0 ==> 0
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 subsumption: (15) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 1.24/1.66 skol3 ) }.
% 1.24/1.66 parent0: (1348) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol1, skol3
% 1.24/1.66 ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 end
% 1.24/1.66 permutation0:
% 1.24/1.66 0 ==> 0
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 subsumption: (16) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol2,
% 1.24/1.66 skol3 ) }.
% 1.24/1.66 parent0: (1349) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol2, skol3
% 1.24/1.66 ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 end
% 1.24/1.66 permutation0:
% 1.24/1.66 0 ==> 0
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 subsumption: (17) {G0,W5,D3,L1,V0,M1} I { distinct_lines( skol3,
% 1.24/1.66 line_connecting( skol1, skol2 ) ) }.
% 1.24/1.66 parent0: (1350) {G0,W5,D3,L1,V0,M1} { distinct_lines( skol3,
% 1.24/1.66 line_connecting( skol1, skol2 ) ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 end
% 1.24/1.66 permutation0:
% 1.24/1.66 0 ==> 0
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 resolution: (1412) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 1.24/1.66 distinct_points( X, Y ) }.
% 1.24/1.66 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.24/1.66 parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 1.24/1.66 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 X := X
% 1.24/1.66 end
% 1.24/1.66 substitution1:
% 1.24/1.66 X := X
% 1.24/1.66 Y := Y
% 1.24/1.66 Z := X
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 subsumption: (20) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 1.24/1.66 distinct_points( X, Y ) }.
% 1.24/1.66 parent0: (1412) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 1.24/1.66 distinct_points( X, Y ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 X := Y
% 1.24/1.66 Y := X
% 1.24/1.66 end
% 1.24/1.66 permutation0:
% 1.24/1.66 0 ==> 1
% 1.24/1.66 1 ==> 0
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 resolution: (1414) {G1,W3,D2,L1,V0,M1} { distinct_points( skol2, skol1 )
% 1.24/1.66 }.
% 1.24/1.66 parent0[0]: (20) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 1.24/1.66 distinct_points( X, Y ) }.
% 1.24/1.66 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.24/1.66 }.
% 1.24/1.66 substitution0:
% 1.24/1.66 X := skol2
% 1.24/1.66 Y := skol1
% 1.24/1.66 end
% 1.24/1.66 substitution1:
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 subsumption: (22) {G2,W3,D2,L1,V0,M1} R(20,14) { distinct_points( skol2,
% 1.24/1.66 skol1 ) }.
% 1.24/1.66 parent0: (1414) {G1,W3,D2,L1,V0,M1} { distinct_points( skol2, skol1 ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 end
% 1.24/1.66 permutation0:
% 1.24/1.66 0 ==> 0
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 resolution: (1416) {G1,W15,D2,L5,V2,M5} { ! distinct_points( X, skol1 ), !
% 1.24/1.66 distinct_lines( skol3, Y ), apart_point_and_line( X, Y ),
% 1.24/1.66 apart_point_and_line( skol1, Y ), apart_point_and_line( X, skol3 ) }.
% 1.24/1.66 parent0[0]: (15) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 1.24/1.66 skol3 ) }.
% 1.24/1.66 parent1[3]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 1.24/1.66 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 1.24/1.66 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 1.24/1.66 apart_point_and_line( X, Z ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 end
% 1.24/1.66 substitution1:
% 1.24/1.66 X := X
% 1.24/1.66 Y := skol1
% 1.24/1.66 Z := skol3
% 1.24/1.66 T := Y
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 subsumption: (108) {G1,W15,D2,L5,V2,M3} R(10,15) { ! distinct_points( X,
% 1.24/1.66 skol1 ), ! distinct_lines( skol3, Y ), apart_point_and_line( skol1, Y ),
% 1.24/1.66 apart_point_and_line( X, skol3 ), apart_point_and_line( X, Y ) }.
% 1.24/1.66 parent0: (1416) {G1,W15,D2,L5,V2,M5} { ! distinct_points( X, skol1 ), !
% 1.24/1.66 distinct_lines( skol3, Y ), apart_point_and_line( X, Y ),
% 1.24/1.66 apart_point_and_line( skol1, Y ), apart_point_and_line( X, skol3 ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 X := X
% 1.24/1.66 Y := Y
% 1.24/1.66 end
% 1.24/1.66 permutation0:
% 1.24/1.66 0 ==> 0
% 1.24/1.66 1 ==> 1
% 1.24/1.66 2 ==> 4
% 1.24/1.66 3 ==> 2
% 1.24/1.66 4 ==> 3
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 resolution: (1425) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 1.24/1.66 distinct_points( Z, Y ), distinct_points( T, Z ), ! apart_point_and_line
% 1.24/1.66 ( T, line_connecting( X, Y ) ) }.
% 1.24/1.66 parent0[2]: (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 1.24/1.66 distinct_points( Z, Y ), ! apart_point_and_line( Z, line_connecting( X, Y
% 1.24/1.66 ) ) }.
% 1.24/1.66 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 1.24/1.66 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 X := X
% 1.24/1.66 Y := Y
% 1.24/1.66 Z := Z
% 1.24/1.66 end
% 1.24/1.66 substitution1:
% 1.24/1.66 X := T
% 1.24/1.66 Y := line_connecting( X, Y )
% 1.24/1.66 Z := Z
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 subsumption: (138) {G1,W14,D3,L4,V4,M1} R(11,7) { distinct_points( X, Y ),
% 1.24/1.66 ! distinct_points( Z, T ), distinct_points( Y, T ), !
% 1.24/1.66 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 1.24/1.66 parent0: (1425) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 1.24/1.66 distinct_points( Z, Y ), distinct_points( T, Z ), ! apart_point_and_line
% 1.24/1.66 ( T, line_connecting( X, Y ) ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 X := Z
% 1.24/1.66 Y := T
% 1.24/1.66 Z := Y
% 1.24/1.66 T := X
% 1.24/1.66 end
% 1.24/1.66 permutation0:
% 1.24/1.66 0 ==> 1
% 1.24/1.66 1 ==> 2
% 1.24/1.66 2 ==> 0
% 1.24/1.66 3 ==> 3
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 resolution: (1429) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 1.24/1.66 distinct_points( Z, X ), distinct_points( T, Z ), ! apart_point_and_line
% 1.24/1.66 ( T, line_connecting( X, Y ) ) }.
% 1.24/1.66 parent0[2]: (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 1.24/1.66 distinct_points( Z, X ), ! apart_point_and_line( Z, line_connecting( X, Y
% 1.24/1.66 ) ) }.
% 1.24/1.66 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 1.24/1.66 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 X := X
% 1.24/1.66 Y := Y
% 1.24/1.66 Z := Z
% 1.24/1.66 end
% 1.24/1.66 substitution1:
% 1.24/1.66 X := T
% 1.24/1.66 Y := line_connecting( X, Y )
% 1.24/1.66 Z := Z
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 subsumption: (139) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y ),
% 1.24/1.66 ! distinct_points( Z, T ), distinct_points( Y, Z ), !
% 1.24/1.66 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 1.24/1.66 parent0: (1429) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 1.24/1.66 distinct_points( Z, X ), distinct_points( T, Z ), ! apart_point_and_line
% 1.24/1.66 ( T, line_connecting( X, Y ) ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 X := Z
% 1.24/1.66 Y := T
% 1.24/1.66 Z := Y
% 1.24/1.66 T := X
% 1.24/1.66 end
% 1.24/1.66 permutation0:
% 1.24/1.66 0 ==> 1
% 1.24/1.66 1 ==> 2
% 1.24/1.66 2 ==> 0
% 1.24/1.66 3 ==> 3
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 factor: (1432) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 1.24/1.66 distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X, Y
% 1.24/1.66 ) ) }.
% 1.24/1.66 parent0[0, 2]: (139) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y )
% 1.24/1.66 , ! distinct_points( Z, T ), distinct_points( Y, Z ), !
% 1.24/1.66 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 X := X
% 1.24/1.66 Y := X
% 1.24/1.66 Z := X
% 1.24/1.66 T := Y
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 resolution: (1433) {G1,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.24/1.66 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.24/1.66 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.24/1.66 parent1[0]: (1432) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 1.24/1.66 distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X, Y
% 1.24/1.66 ) ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 X := X
% 1.24/1.66 end
% 1.24/1.66 substitution1:
% 1.24/1.66 X := X
% 1.24/1.66 Y := Y
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 subsumption: (142) {G2,W8,D3,L2,V2,M1} F(139);r(0) { ! distinct_points( X,
% 1.24/1.66 Y ), ! apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.24/1.66 parent0: (1433) {G1,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.24/1.66 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 X := X
% 1.24/1.66 Y := Y
% 1.24/1.66 end
% 1.24/1.66 permutation0:
% 1.24/1.66 0 ==> 0
% 1.24/1.66 1 ==> 1
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 factor: (1434) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 1.24/1.66 distinct_points( Y, X ), ! apart_point_and_line( X, line_connecting( Y, X
% 1.24/1.66 ) ) }.
% 1.24/1.66 parent0[0, 2]: (138) {G1,W14,D3,L4,V4,M1} R(11,7) { distinct_points( X, Y )
% 1.24/1.66 , ! distinct_points( Z, T ), distinct_points( Y, T ), !
% 1.24/1.66 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 X := X
% 1.24/1.66 Y := X
% 1.24/1.66 Z := Y
% 1.24/1.66 T := X
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 resolution: (1435) {G1,W8,D3,L2,V2,M2} { ! distinct_points( Y, X ), !
% 1.24/1.66 apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 1.24/1.66 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.24/1.66 parent1[0]: (1434) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 1.24/1.66 distinct_points( Y, X ), ! apart_point_and_line( X, line_connecting( Y, X
% 1.24/1.66 ) ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 X := X
% 1.24/1.66 end
% 1.24/1.66 substitution1:
% 1.24/1.66 X := X
% 1.24/1.66 Y := Y
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 subsumption: (143) {G2,W8,D3,L2,V2,M1} F(138);r(0) { ! distinct_points( Y,
% 1.24/1.66 X ), ! apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 1.24/1.66 parent0: (1435) {G1,W8,D3,L2,V2,M2} { ! distinct_points( Y, X ), !
% 1.24/1.66 apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 X := X
% 1.24/1.66 Y := Y
% 1.24/1.66 end
% 1.24/1.66 permutation0:
% 1.24/1.66 0 ==> 0
% 1.24/1.66 1 ==> 1
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 resolution: (1436) {G1,W12,D2,L4,V1,M4} { ! distinct_points( skol2, skol1
% 1.24/1.66 ), ! distinct_lines( skol3, X ), apart_point_and_line( skol1, X ),
% 1.24/1.66 apart_point_and_line( skol2, X ) }.
% 1.24/1.66 parent0[0]: (16) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol2,
% 1.24/1.66 skol3 ) }.
% 1.24/1.66 parent1[3]: (108) {G1,W15,D2,L5,V2,M3} R(10,15) { ! distinct_points( X,
% 1.24/1.66 skol1 ), ! distinct_lines( skol3, Y ), apart_point_and_line( skol1, Y ),
% 1.24/1.66 apart_point_and_line( X, skol3 ), apart_point_and_line( X, Y ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 end
% 1.24/1.66 substitution1:
% 1.24/1.66 X := skol2
% 1.24/1.66 Y := X
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 resolution: (1437) {G2,W9,D2,L3,V1,M3} { ! distinct_lines( skol3, X ),
% 1.24/1.66 apart_point_and_line( skol1, X ), apart_point_and_line( skol2, X ) }.
% 1.24/1.66 parent0[0]: (1436) {G1,W12,D2,L4,V1,M4} { ! distinct_points( skol2, skol1
% 1.24/1.66 ), ! distinct_lines( skol3, X ), apart_point_and_line( skol1, X ),
% 1.24/1.66 apart_point_and_line( skol2, X ) }.
% 1.24/1.66 parent1[0]: (22) {G2,W3,D2,L1,V0,M1} R(20,14) { distinct_points( skol2,
% 1.24/1.66 skol1 ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 X := X
% 1.24/1.66 end
% 1.24/1.66 substitution1:
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 subsumption: (658) {G3,W9,D2,L3,V1,M1} R(108,16);r(22) { ! distinct_lines(
% 1.24/1.66 skol3, X ), apart_point_and_line( skol1, X ), apart_point_and_line( skol2
% 1.24/1.66 , X ) }.
% 1.24/1.66 parent0: (1437) {G2,W9,D2,L3,V1,M3} { ! distinct_lines( skol3, X ),
% 1.24/1.66 apart_point_and_line( skol1, X ), apart_point_and_line( skol2, X ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 X := X
% 1.24/1.66 end
% 1.24/1.66 permutation0:
% 1.24/1.66 0 ==> 0
% 1.24/1.66 1 ==> 1
% 1.24/1.66 2 ==> 2
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 resolution: (1439) {G3,W13,D3,L3,V1,M3} { ! distinct_points( X, skol2 ), !
% 1.24/1.66 distinct_lines( skol3, line_connecting( X, skol2 ) ),
% 1.24/1.66 apart_point_and_line( skol1, line_connecting( X, skol2 ) ) }.
% 1.24/1.66 parent0[1]: (143) {G2,W8,D3,L2,V2,M1} F(138);r(0) { ! distinct_points( Y, X
% 1.24/1.66 ), ! apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 1.24/1.66 parent1[2]: (658) {G3,W9,D2,L3,V1,M1} R(108,16);r(22) { ! distinct_lines(
% 1.24/1.66 skol3, X ), apart_point_and_line( skol1, X ), apart_point_and_line( skol2
% 1.24/1.66 , X ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 X := skol2
% 1.24/1.66 Y := X
% 1.24/1.66 end
% 1.24/1.66 substitution1:
% 1.24/1.66 X := line_connecting( X, skol2 )
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 subsumption: (679) {G4,W13,D3,L3,V1,M1} R(658,143) { ! distinct_lines(
% 1.24/1.66 skol3, line_connecting( X, skol2 ) ), ! distinct_points( X, skol2 ),
% 1.24/1.66 apart_point_and_line( skol1, line_connecting( X, skol2 ) ) }.
% 1.24/1.66 parent0: (1439) {G3,W13,D3,L3,V1,M3} { ! distinct_points( X, skol2 ), !
% 1.24/1.66 distinct_lines( skol3, line_connecting( X, skol2 ) ),
% 1.24/1.66 apart_point_and_line( skol1, line_connecting( X, skol2 ) ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 X := X
% 1.24/1.66 end
% 1.24/1.66 permutation0:
% 1.24/1.66 0 ==> 1
% 1.24/1.66 1 ==> 0
% 1.24/1.66 2 ==> 2
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 resolution: (1440) {G3,W11,D3,L3,V0,M3} { ! distinct_points( skol1, skol2
% 1.24/1.66 ), ! distinct_lines( skol3, line_connecting( skol1, skol2 ) ), !
% 1.24/1.66 distinct_points( skol1, skol2 ) }.
% 1.24/1.66 parent0[1]: (142) {G2,W8,D3,L2,V2,M1} F(139);r(0) { ! distinct_points( X, Y
% 1.24/1.66 ), ! apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.24/1.66 parent1[2]: (679) {G4,W13,D3,L3,V1,M1} R(658,143) { ! distinct_lines( skol3
% 1.24/1.66 , line_connecting( X, skol2 ) ), ! distinct_points( X, skol2 ),
% 1.24/1.66 apart_point_and_line( skol1, line_connecting( X, skol2 ) ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 X := skol1
% 1.24/1.66 Y := skol2
% 1.24/1.66 end
% 1.24/1.66 substitution1:
% 1.24/1.66 X := skol1
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 resolution: (1442) {G1,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 1.24/1.66 , ! distinct_points( skol1, skol2 ) }.
% 1.24/1.66 parent0[1]: (1440) {G3,W11,D3,L3,V0,M3} { ! distinct_points( skol1, skol2
% 1.24/1.66 ), ! distinct_lines( skol3, line_connecting( skol1, skol2 ) ), !
% 1.24/1.66 distinct_points( skol1, skol2 ) }.
% 1.24/1.66 parent1[0]: (17) {G0,W5,D3,L1,V0,M1} I { distinct_lines( skol3,
% 1.24/1.66 line_connecting( skol1, skol2 ) ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 end
% 1.24/1.66 substitution1:
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 factor: (1443) {G1,W3,D2,L1,V0,M1} { ! distinct_points( skol1, skol2 ) }.
% 1.24/1.66 parent0[0, 1]: (1442) {G1,W6,D2,L2,V0,M2} { ! distinct_points( skol1,
% 1.24/1.66 skol2 ), ! distinct_points( skol1, skol2 ) }.
% 1.24/1.66 substitution0:
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 subsumption: (1328) {G5,W3,D2,L1,V0,M1} R(679,142);f;r(17) { !
% 1.24/1.66 distinct_points( skol1, skol2 ) }.
% 1.24/1.66 parent0: (1443) {G1,W3,D2,L1,V0,M1} { ! distinct_points( skol1, skol2 )
% 1.24/1.66 }.
% 1.24/1.66 substitution0:
% 1.24/1.66 end
% 1.24/1.66 permutation0:
% 1.24/1.66 0 ==> 0
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 resolution: (1444) {G1,W0,D0,L0,V0,M0} { }.
% 1.24/1.66 parent0[0]: (1328) {G5,W3,D2,L1,V0,M1} R(679,142);f;r(17) { !
% 1.24/1.66 distinct_points( skol1, skol2 ) }.
% 1.24/1.66 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.24/1.66 }.
% 1.24/1.66 substitution0:
% 1.24/1.66 end
% 1.24/1.66 substitution1:
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 subsumption: (1331) {G6,W0,D0,L0,V0,M0} S(1328);r(14) { }.
% 1.24/1.66 parent0: (1444) {G1,W0,D0,L0,V0,M0} { }.
% 1.24/1.66 substitution0:
% 1.24/1.66 end
% 1.24/1.66 permutation0:
% 1.24/1.66 end
% 1.24/1.66
% 1.24/1.66 Proof check complete!
% 1.24/1.66
% 1.24/1.66 Memory use:
% 1.24/1.66
% 1.24/1.66 space for terms: 19409
% 1.24/1.66 space for clauses: 47568
% 1.24/1.66
% 1.24/1.66
% 1.24/1.66 clauses generated: 71861
% 1.24/1.66 clauses kept: 1332
% 1.24/1.66 clauses selected: 574
% 1.24/1.66 clauses deleted: 5
% 1.24/1.66 clauses inuse deleted: 0
% 1.24/1.66
% 1.24/1.66 subsentry: 349064
% 1.24/1.66 literals s-matched: 161956
% 1.24/1.66 literals matched: 161926
% 1.24/1.66 full subsumption: 103225
% 1.24/1.66
% 1.24/1.66 checksum: 2054785430
% 1.24/1.66
% 1.24/1.66
% 1.24/1.66 Bliksem ended
%------------------------------------------------------------------------------