%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO173+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 02:52:14 EDT 2022
% Result : Theorem 1.48s 1.82s
% Output : Refutation 1.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO173+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n026.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 05:45:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.48/1.82 *** allocated 10000 integers for termspace/termends
% 1.48/1.82 *** allocated 10000 integers for clauses
% 1.48/1.82 *** allocated 10000 integers for justifications
% 1.48/1.82 Bliksem 1.12
% 1.48/1.82
% 1.48/1.82
% 1.48/1.82 Automatic Strategy Selection
% 1.48/1.82
% 1.48/1.82
% 1.48/1.82 Clauses:
% 1.48/1.82
% 1.48/1.82 { ! distinct_points( X, X ) }.
% 1.48/1.82 { ! distinct_lines( X, X ) }.
% 1.48/1.82 { ! convergent_lines( X, X ) }.
% 1.48/1.82 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 1.48/1.82 ) }.
% 1.48/1.82 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 1.48/1.82 }.
% 1.48/1.82 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 1.48/1.82 , Z ) }.
% 1.48/1.82 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 1.48/1.82 , Y ) ), distinct_points( Z, X ) }.
% 1.48/1.82 { ! distinct_points( X, Y ), ! apart_point_and_line( Z, line_connecting( X
% 1.48/1.82 , Y ) ), distinct_points( Z, Y ) }.
% 1.48/1.82 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, X ),
% 1.48/1.82 distinct_points( Z, intersection_point( X, Y ) ) }.
% 1.48/1.82 { ! convergent_lines( X, Y ), ! apart_point_and_line( Z, Y ),
% 1.48/1.82 distinct_points( Z, intersection_point( X, Y ) ) }.
% 1.48/1.82 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 1.48/1.82 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.48/1.82 apart_point_and_line( Y, T ) }.
% 1.48/1.82 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 1.48/1.82 apart_point_and_line( Z, Y ) }.
% 1.48/1.82 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 1.48/1.82 apart_point_and_line( X, Z ) }.
% 1.48/1.82 { ! convergent_lines( X, Y ), distinct_lines( X, Y ) }.
% 1.48/1.82 { distinct_points( skol1, skol2 ) }.
% 1.48/1.82 { convergent_lines( skol3, skol4 ) }.
% 1.48/1.82 { distinct_lines( skol3, line_connecting( skol1, skol2 ) ) }.
% 1.48/1.82 { ! apart_point_and_line( skol1, skol3 ) }.
% 1.48/1.82 { ! apart_point_and_line( skol2, skol3 ) }.
% 1.48/1.82
% 1.48/1.82 percentage equality = 0.000000, percentage horn = 0.684211
% 1.48/1.82 This a non-horn, non-equality problem
% 1.48/1.82
% 1.48/1.82
% 1.48/1.82 Options Used:
% 1.48/1.82
% 1.48/1.82 useres = 1
% 1.48/1.82 useparamod = 0
% 1.48/1.82 useeqrefl = 0
% 1.48/1.82 useeqfact = 0
% 1.48/1.82 usefactor = 1
% 1.48/1.82 usesimpsplitting = 0
% 1.48/1.82 usesimpdemod = 0
% 1.48/1.82 usesimpres = 3
% 1.48/1.82
% 1.48/1.82 resimpinuse = 1000
% 1.48/1.82 resimpclauses = 20000
% 1.48/1.82 substype = standard
% 1.48/1.82 backwardsubs = 1
% 1.48/1.82 selectoldest = 5
% 1.48/1.82
% 1.48/1.82 litorderings [0] = split
% 1.48/1.82 litorderings [1] = liftord
% 1.48/1.82
% 1.48/1.82 termordering = none
% 1.48/1.82
% 1.48/1.82 litapriori = 1
% 1.48/1.82 termapriori = 0
% 1.48/1.82 litaposteriori = 0
% 1.48/1.82 termaposteriori = 0
% 1.48/1.82 demodaposteriori = 0
% 1.48/1.82 ordereqreflfact = 0
% 1.48/1.82
% 1.48/1.82 litselect = none
% 1.48/1.82
% 1.48/1.82 maxweight = 15
% 1.48/1.82 maxdepth = 30000
% 1.48/1.82 maxlength = 115
% 1.48/1.82 maxnrvars = 195
% 1.48/1.82 excuselevel = 1
% 1.48/1.82 increasemaxweight = 1
% 1.48/1.82
% 1.48/1.82 maxselected = 10000000
% 1.48/1.82 maxnrclauses = 10000000
% 1.48/1.82
% 1.48/1.82 showgenerated = 0
% 1.48/1.82 showkept = 0
% 1.48/1.82 showselected = 0
% 1.48/1.82 showdeleted = 0
% 1.48/1.82 showresimp = 1
% 1.48/1.82 showstatus = 2000
% 1.48/1.82
% 1.48/1.82 prologoutput = 0
% 1.48/1.82 nrgoals = 5000000
% 1.48/1.82 totalproof = 1
% 1.48/1.82
% 1.48/1.82 Symbols occurring in the translation:
% 1.48/1.82
% 1.48/1.82 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.48/1.82 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 1.48/1.82 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 1.48/1.82 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.48/1.82 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.48/1.82 distinct_points [36, 2] (w:1, o:45, a:1, s:1, b:0),
% 1.48/1.82 distinct_lines [37, 2] (w:1, o:46, a:1, s:1, b:0),
% 1.48/1.82 convergent_lines [38, 2] (w:1, o:44, a:1, s:1, b:0),
% 1.48/1.82 line_connecting [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 1.48/1.82 apart_point_and_line [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 1.48/1.82 intersection_point [43, 2] (w:1, o:49, a:1, s:1, b:0),
% 1.48/1.82 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.48/1.82 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.48/1.82 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.48/1.82 skol4 [49, 0] (w:1, o:14, a:1, s:1, b:0).
% 1.48/1.82
% 1.48/1.82
% 1.48/1.82 Starting Search:
% 1.48/1.82
% 1.48/1.82 *** allocated 15000 integers for clauses
% 1.48/1.82 *** allocated 22500 integers for clauses
% 1.48/1.82 *** allocated 33750 integers for clauses
% 1.48/1.82 *** allocated 15000 integers for termspace/termends
% 1.48/1.82 *** allocated 50625 integers for clauses
% 1.48/1.82 Resimplifying inuse:
% 1.48/1.82 Done
% 1.48/1.82
% 1.48/1.82 *** allocated 22500 integers for termspace/termends
% 1.48/1.82 *** allocated 75937 integers for clauses
% 1.48/1.82
% 1.48/1.82 Bliksems!, er is een bewijs:
% 1.48/1.82 % SZS status Theorem
% 1.48/1.82 % SZS output start Refutation
% 1.48/1.82
% 1.48/1.82 (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.48/1.82 (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 1.48/1.82 ), ! distinct_points( X, Y ) }.
% 1.48/1.82 (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ), distinct_points( Z
% 1.48/1.82 , X ), ! apart_point_and_line( Z, line_connecting( X, Y ) ) }.
% 1.48/1.82 (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ), distinct_points( Z
% 1.48/1.82 , Y ), ! apart_point_and_line( Z, line_connecting( X, Y ) ) }.
% 1.48/1.82 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 1.48/1.82 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.48/1.82 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 1.48/1.82 (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 1.48/1.82 ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.48/1.82 (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 ) }.
% 1.48/1.82 (16) {G0,W5,D3,L1,V0,M1} I { distinct_lines( skol3, line_connecting( skol1
% 1.48/1.82 , skol2 ) ) }.
% 1.48/1.82 (17) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1, skol3 ) }.
% 1.48/1.82 (18) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol2, skol3 ) }.
% 1.48/1.82 (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 1.48/1.82 distinct_points( X, Y ) }.
% 1.48/1.82 (23) {G2,W3,D2,L1,V0,M1} R(21,14) { distinct_points( skol2, skol1 ) }.
% 1.48/1.82 (97) {G1,W15,D2,L5,V2,M3} R(10,17) { ! distinct_points( X, skol1 ), !
% 1.48/1.82 distinct_lines( skol3, Y ), apart_point_and_line( skol1, Y ),
% 1.48/1.82 apart_point_and_line( X, skol3 ), apart_point_and_line( X, Y ) }.
% 1.48/1.82 (127) {G1,W14,D3,L4,V4,M1} R(11,7) { distinct_points( X, Y ), !
% 1.48/1.82 distinct_points( Z, T ), distinct_points( Y, T ), ! apart_point_and_line
% 1.48/1.82 ( X, line_connecting( Z, T ) ) }.
% 1.48/1.82 (128) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y ), !
% 1.48/1.82 distinct_points( Z, T ), distinct_points( Y, Z ), ! apart_point_and_line
% 1.48/1.82 ( X, line_connecting( Z, T ) ) }.
% 1.48/1.82 (131) {G2,W8,D3,L2,V2,M1} F(128);r(0) { ! distinct_points( X, Y ), !
% 1.48/1.82 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.48/1.82 (132) {G2,W8,D3,L2,V2,M1} F(127);r(0) { ! distinct_points( Y, X ), !
% 1.48/1.82 apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 1.48/1.82 (720) {G3,W9,D2,L3,V1,M1} R(97,18);r(23) { ! distinct_lines( skol3, X ),
% 1.48/1.82 apart_point_and_line( skol1, X ), apart_point_and_line( skol2, X ) }.
% 1.48/1.82 (741) {G4,W13,D3,L3,V1,M1} R(720,132) { ! distinct_lines( skol3,
% 1.48/1.82 line_connecting( X, skol2 ) ), ! distinct_points( X, skol2 ),
% 1.48/1.82 apart_point_and_line( skol1, line_connecting( X, skol2 ) ) }.
% 1.48/1.82 (1422) {G5,W3,D2,L1,V0,M1} R(741,131);f;r(16) { ! distinct_points( skol1,
% 1.48/1.82 skol2 ) }.
% 1.48/1.82 (1425) {G6,W0,D0,L0,V0,M0} S(1422);r(14) { }.
% 1.48/1.82
% 1.48/1.82
% 1.48/1.82 % SZS output end Refutation
% 1.48/1.82 found a proof!
% 1.48/1.82
% 1.48/1.82
% 1.48/1.82 Unprocessed initial clauses:
% 1.48/1.82
% 1.48/1.82 (1427) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 1.48/1.82 (1428) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 1.48/1.82 (1429) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 1.48/1.82 (1430) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 1.48/1.82 , Z ), distinct_points( Y, Z ) }.
% 1.48/1.82 (1431) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 1.48/1.82 Z ), distinct_lines( Y, Z ) }.
% 1.48/1.82 (1432) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 1.48/1.82 ( X, Z ), convergent_lines( Y, Z ) }.
% 1.48/1.82 (1433) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 1.48/1.82 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 1.48/1.82 ) }.
% 1.48/1.82 (1434) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 1.48/1.82 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 1.48/1.82 ) }.
% 1.48/1.82 (1435) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 1.48/1.82 apart_point_and_line( Z, X ), distinct_points( Z, intersection_point( X,
% 1.48/1.82 Y ) ) }.
% 1.48/1.82 (1436) {G0,W11,D3,L3,V3,M3} { ! convergent_lines( X, Y ), !
% 1.48/1.82 apart_point_and_line( Z, Y ), distinct_points( Z, intersection_point( X,
% 1.48/1.82 Y ) ) }.
% 1.48/1.82 (1437) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 1.48/1.82 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 1.48/1.82 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 1.48/1.82 (1438) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.48/1.82 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 1.48/1.82 (1439) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.48/1.82 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 1.48/1.82 (1440) {G0,W6,D2,L2,V2,M2} { ! convergent_lines( X, Y ), distinct_lines( X
% 1.48/1.82 , Y ) }.
% 1.48/1.82 (1441) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 1.48/1.82 (1442) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol4 ) }.
% 1.48/1.82 (1443) {G0,W5,D3,L1,V0,M1} { distinct_lines( skol3, line_connecting( skol1
% 1.48/1.82 , skol2 ) ) }.
% 1.48/1.82 (1444) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol1, skol3 ) }.
% 1.48/1.82 (1445) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol2, skol3 ) }.
% 1.48/1.82
% 1.48/1.82
% 1.48/1.82 Total Proof:
% 1.48/1.82
% 1.48/1.82 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.48/1.82 parent0: (1427) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 X := X
% 1.48/1.82 end
% 1.48/1.82 permutation0:
% 1.48/1.82 0 ==> 0
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 subsumption: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 1.48/1.82 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 1.48/1.82 parent0: (1430) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ),
% 1.48/1.82 distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 X := X
% 1.48/1.82 Y := Y
% 1.48/1.82 Z := Z
% 1.48/1.82 end
% 1.48/1.82 permutation0:
% 1.48/1.82 0 ==> 2
% 1.48/1.82 1 ==> 0
% 1.48/1.82 2 ==> 1
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 subsumption: (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 1.48/1.82 distinct_points( Z, X ), ! apart_point_and_line( Z, line_connecting( X, Y
% 1.48/1.82 ) ) }.
% 1.48/1.82 parent0: (1433) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 1.48/1.82 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, X
% 1.48/1.82 ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 X := X
% 1.48/1.82 Y := Y
% 1.48/1.82 Z := Z
% 1.48/1.82 end
% 1.48/1.82 permutation0:
% 1.48/1.82 0 ==> 0
% 1.48/1.82 1 ==> 2
% 1.48/1.82 2 ==> 1
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 subsumption: (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 1.48/1.82 distinct_points( Z, Y ), ! apart_point_and_line( Z, line_connecting( X, Y
% 1.48/1.82 ) ) }.
% 1.48/1.82 parent0: (1434) {G0,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ), !
% 1.48/1.82 apart_point_and_line( Z, line_connecting( X, Y ) ), distinct_points( Z, Y
% 1.48/1.82 ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 X := X
% 1.48/1.82 Y := Y
% 1.48/1.82 Z := Z
% 1.48/1.82 end
% 1.48/1.82 permutation0:
% 1.48/1.82 0 ==> 0
% 1.48/1.82 1 ==> 2
% 1.48/1.82 2 ==> 1
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 1.48/1.82 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 1.48/1.82 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 1.48/1.82 apart_point_and_line( X, Z ) }.
% 1.48/1.82 parent0: (1437) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 1.48/1.82 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 1.48/1.82 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.48/1.82 apart_point_and_line( Y, T ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 X := X
% 1.48/1.82 Y := Y
% 1.48/1.82 Z := Z
% 1.48/1.82 T := T
% 1.48/1.82 end
% 1.48/1.82 permutation0:
% 1.48/1.82 0 ==> 0
% 1.48/1.82 1 ==> 1
% 1.48/1.82 2 ==> 5
% 1.48/1.82 3 ==> 2
% 1.48/1.82 4 ==> 3
% 1.48/1.82 5 ==> 4
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 1.48/1.82 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.48/1.82 parent0: (1438) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.48/1.82 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 X := X
% 1.48/1.82 Y := Y
% 1.48/1.82 Z := Z
% 1.48/1.82 end
% 1.48/1.82 permutation0:
% 1.48/1.82 0 ==> 2
% 1.48/1.82 1 ==> 0
% 1.48/1.82 2 ==> 1
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.48/1.82 }.
% 1.48/1.82 parent0: (1441) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 end
% 1.48/1.82 permutation0:
% 1.48/1.82 0 ==> 0
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 subsumption: (16) {G0,W5,D3,L1,V0,M1} I { distinct_lines( skol3,
% 1.48/1.82 line_connecting( skol1, skol2 ) ) }.
% 1.48/1.82 parent0: (1443) {G0,W5,D3,L1,V0,M1} { distinct_lines( skol3,
% 1.48/1.82 line_connecting( skol1, skol2 ) ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 end
% 1.48/1.82 permutation0:
% 1.48/1.82 0 ==> 0
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 subsumption: (17) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 1.48/1.82 skol3 ) }.
% 1.48/1.82 parent0: (1444) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol1, skol3
% 1.48/1.82 ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 end
% 1.48/1.82 permutation0:
% 1.48/1.82 0 ==> 0
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 subsumption: (18) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol2,
% 1.48/1.82 skol3 ) }.
% 1.48/1.82 parent0: (1445) {G0,W3,D2,L1,V0,M1} { ! apart_point_and_line( skol2, skol3
% 1.48/1.82 ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 end
% 1.48/1.82 permutation0:
% 1.48/1.82 0 ==> 0
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 resolution: (1507) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 1.48/1.82 distinct_points( X, Y ) }.
% 1.48/1.82 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.48/1.82 parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 1.48/1.82 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 X := X
% 1.48/1.82 end
% 1.48/1.82 substitution1:
% 1.48/1.82 X := X
% 1.48/1.82 Y := Y
% 1.48/1.82 Z := X
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 subsumption: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 1.48/1.82 distinct_points( X, Y ) }.
% 1.48/1.82 parent0: (1507) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 1.48/1.82 distinct_points( X, Y ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 X := Y
% 1.48/1.82 Y := X
% 1.48/1.82 end
% 1.48/1.82 permutation0:
% 1.48/1.82 0 ==> 1
% 1.48/1.82 1 ==> 0
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 resolution: (1509) {G1,W3,D2,L1,V0,M1} { distinct_points( skol2, skol1 )
% 1.48/1.82 }.
% 1.48/1.82 parent0[0]: (21) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 1.48/1.82 distinct_points( X, Y ) }.
% 1.48/1.82 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.48/1.82 }.
% 1.48/1.82 substitution0:
% 1.48/1.82 X := skol2
% 1.48/1.82 Y := skol1
% 1.48/1.82 end
% 1.48/1.82 substitution1:
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 subsumption: (23) {G2,W3,D2,L1,V0,M1} R(21,14) { distinct_points( skol2,
% 1.48/1.82 skol1 ) }.
% 1.48/1.82 parent0: (1509) {G1,W3,D2,L1,V0,M1} { distinct_points( skol2, skol1 ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 end
% 1.48/1.82 permutation0:
% 1.48/1.82 0 ==> 0
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 resolution: (1511) {G1,W15,D2,L5,V2,M5} { ! distinct_points( X, skol1 ), !
% 1.48/1.82 distinct_lines( skol3, Y ), apart_point_and_line( X, Y ),
% 1.48/1.82 apart_point_and_line( skol1, Y ), apart_point_and_line( X, skol3 ) }.
% 1.48/1.82 parent0[0]: (17) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 1.48/1.82 skol3 ) }.
% 1.48/1.82 parent1[3]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 1.48/1.82 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 1.48/1.82 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 1.48/1.82 apart_point_and_line( X, Z ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 end
% 1.48/1.82 substitution1:
% 1.48/1.82 X := X
% 1.48/1.82 Y := skol1
% 1.48/1.82 Z := skol3
% 1.48/1.82 T := Y
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 subsumption: (97) {G1,W15,D2,L5,V2,M3} R(10,17) { ! distinct_points( X,
% 1.48/1.82 skol1 ), ! distinct_lines( skol3, Y ), apart_point_and_line( skol1, Y ),
% 1.48/1.82 apart_point_and_line( X, skol3 ), apart_point_and_line( X, Y ) }.
% 1.48/1.82 parent0: (1511) {G1,W15,D2,L5,V2,M5} { ! distinct_points( X, skol1 ), !
% 1.48/1.82 distinct_lines( skol3, Y ), apart_point_and_line( X, Y ),
% 1.48/1.82 apart_point_and_line( skol1, Y ), apart_point_and_line( X, skol3 ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 X := X
% 1.48/1.82 Y := Y
% 1.48/1.82 end
% 1.48/1.82 permutation0:
% 1.48/1.82 0 ==> 0
% 1.48/1.82 1 ==> 1
% 1.48/1.82 2 ==> 4
% 1.48/1.82 3 ==> 2
% 1.48/1.82 4 ==> 3
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 resolution: (1520) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 1.48/1.82 distinct_points( Z, Y ), distinct_points( T, Z ), ! apart_point_and_line
% 1.48/1.82 ( T, line_connecting( X, Y ) ) }.
% 1.48/1.82 parent0[2]: (7) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 1.48/1.82 distinct_points( Z, Y ), ! apart_point_and_line( Z, line_connecting( X, Y
% 1.48/1.82 ) ) }.
% 1.48/1.82 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 1.48/1.82 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 X := X
% 1.48/1.82 Y := Y
% 1.48/1.82 Z := Z
% 1.48/1.82 end
% 1.48/1.82 substitution1:
% 1.48/1.82 X := T
% 1.48/1.82 Y := line_connecting( X, Y )
% 1.48/1.82 Z := Z
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 subsumption: (127) {G1,W14,D3,L4,V4,M1} R(11,7) { distinct_points( X, Y ),
% 1.48/1.82 ! distinct_points( Z, T ), distinct_points( Y, T ), !
% 1.48/1.82 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 1.48/1.82 parent0: (1520) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 1.48/1.82 distinct_points( Z, Y ), distinct_points( T, Z ), ! apart_point_and_line
% 1.48/1.82 ( T, line_connecting( X, Y ) ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 X := Z
% 1.48/1.82 Y := T
% 1.48/1.82 Z := Y
% 1.48/1.82 T := X
% 1.48/1.82 end
% 1.48/1.82 permutation0:
% 1.48/1.82 0 ==> 1
% 1.48/1.82 1 ==> 2
% 1.48/1.82 2 ==> 0
% 1.48/1.82 3 ==> 3
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 resolution: (1524) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 1.48/1.82 distinct_points( Z, X ), distinct_points( T, Z ), ! apart_point_and_line
% 1.48/1.82 ( T, line_connecting( X, Y ) ) }.
% 1.48/1.82 parent0[2]: (6) {G0,W11,D3,L3,V3,M1} I { ! distinct_points( X, Y ),
% 1.48/1.82 distinct_points( Z, X ), ! apart_point_and_line( Z, line_connecting( X, Y
% 1.48/1.82 ) ) }.
% 1.48/1.82 parent1[1]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 1.48/1.82 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 X := X
% 1.48/1.82 Y := Y
% 1.48/1.82 Z := Z
% 1.48/1.82 end
% 1.48/1.82 substitution1:
% 1.48/1.82 X := T
% 1.48/1.82 Y := line_connecting( X, Y )
% 1.48/1.82 Z := Z
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 subsumption: (128) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y ),
% 1.48/1.82 ! distinct_points( Z, T ), distinct_points( Y, Z ), !
% 1.48/1.82 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 1.48/1.82 parent0: (1524) {G1,W14,D3,L4,V4,M4} { ! distinct_points( X, Y ),
% 1.48/1.82 distinct_points( Z, X ), distinct_points( T, Z ), ! apart_point_and_line
% 1.48/1.82 ( T, line_connecting( X, Y ) ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 X := Z
% 1.48/1.82 Y := T
% 1.48/1.82 Z := Y
% 1.48/1.82 T := X
% 1.48/1.82 end
% 1.48/1.82 permutation0:
% 1.48/1.82 0 ==> 1
% 1.48/1.82 1 ==> 2
% 1.48/1.82 2 ==> 0
% 1.48/1.82 3 ==> 3
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 factor: (1527) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 1.48/1.82 distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X, Y
% 1.48/1.82 ) ) }.
% 1.48/1.82 parent0[0, 2]: (128) {G1,W14,D3,L4,V4,M1} R(11,6) { distinct_points( X, Y )
% 1.48/1.82 , ! distinct_points( Z, T ), distinct_points( Y, Z ), !
% 1.48/1.82 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 X := X
% 1.48/1.82 Y := X
% 1.48/1.82 Z := X
% 1.48/1.82 T := Y
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 resolution: (1528) {G1,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.48/1.82 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.48/1.82 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.48/1.82 parent1[0]: (1527) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 1.48/1.82 distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X, Y
% 1.48/1.82 ) ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 X := X
% 1.48/1.82 end
% 1.48/1.82 substitution1:
% 1.48/1.82 X := X
% 1.48/1.82 Y := Y
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 subsumption: (131) {G2,W8,D3,L2,V2,M1} F(128);r(0) { ! distinct_points( X,
% 1.48/1.82 Y ), ! apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.48/1.82 parent0: (1528) {G1,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.48/1.82 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 X := X
% 1.48/1.82 Y := Y
% 1.48/1.82 end
% 1.48/1.82 permutation0:
% 1.48/1.82 0 ==> 0
% 1.48/1.82 1 ==> 1
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 factor: (1529) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 1.48/1.82 distinct_points( Y, X ), ! apart_point_and_line( X, line_connecting( Y, X
% 1.48/1.82 ) ) }.
% 1.48/1.82 parent0[0, 2]: (127) {G1,W14,D3,L4,V4,M1} R(11,7) { distinct_points( X, Y )
% 1.48/1.82 , ! distinct_points( Z, T ), distinct_points( Y, T ), !
% 1.48/1.82 apart_point_and_line( X, line_connecting( Z, T ) ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 X := X
% 1.48/1.82 Y := X
% 1.48/1.82 Z := Y
% 1.48/1.82 T := X
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 resolution: (1530) {G1,W8,D3,L2,V2,M2} { ! distinct_points( Y, X ), !
% 1.48/1.82 apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 1.48/1.82 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.48/1.82 parent1[0]: (1529) {G1,W11,D3,L3,V2,M3} { distinct_points( X, X ), !
% 1.48/1.82 distinct_points( Y, X ), ! apart_point_and_line( X, line_connecting( Y, X
% 1.48/1.82 ) ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 X := X
% 1.48/1.82 end
% 1.48/1.82 substitution1:
% 1.48/1.82 X := X
% 1.48/1.82 Y := Y
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 subsumption: (132) {G2,W8,D3,L2,V2,M1} F(127);r(0) { ! distinct_points( Y,
% 1.48/1.82 X ), ! apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 1.48/1.82 parent0: (1530) {G1,W8,D3,L2,V2,M2} { ! distinct_points( Y, X ), !
% 1.48/1.82 apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 X := X
% 1.48/1.82 Y := Y
% 1.48/1.82 end
% 1.48/1.82 permutation0:
% 1.48/1.82 0 ==> 0
% 1.48/1.82 1 ==> 1
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 resolution: (1531) {G1,W12,D2,L4,V1,M4} { ! distinct_points( skol2, skol1
% 1.48/1.82 ), ! distinct_lines( skol3, X ), apart_point_and_line( skol1, X ),
% 1.48/1.82 apart_point_and_line( skol2, X ) }.
% 1.48/1.82 parent0[0]: (18) {G0,W3,D2,L1,V0,M1} I { ! apart_point_and_line( skol2,
% 1.48/1.82 skol3 ) }.
% 1.48/1.82 parent1[3]: (97) {G1,W15,D2,L5,V2,M3} R(10,17) { ! distinct_points( X,
% 1.48/1.82 skol1 ), ! distinct_lines( skol3, Y ), apart_point_and_line( skol1, Y ),
% 1.48/1.82 apart_point_and_line( X, skol3 ), apart_point_and_line( X, Y ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 end
% 1.48/1.82 substitution1:
% 1.48/1.82 X := skol2
% 1.48/1.82 Y := X
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 resolution: (1532) {G2,W9,D2,L3,V1,M3} { ! distinct_lines( skol3, X ),
% 1.48/1.82 apart_point_and_line( skol1, X ), apart_point_and_line( skol2, X ) }.
% 1.48/1.82 parent0[0]: (1531) {G1,W12,D2,L4,V1,M4} { ! distinct_points( skol2, skol1
% 1.48/1.82 ), ! distinct_lines( skol3, X ), apart_point_and_line( skol1, X ),
% 1.48/1.82 apart_point_and_line( skol2, X ) }.
% 1.48/1.82 parent1[0]: (23) {G2,W3,D2,L1,V0,M1} R(21,14) { distinct_points( skol2,
% 1.48/1.82 skol1 ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 X := X
% 1.48/1.82 end
% 1.48/1.82 substitution1:
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 subsumption: (720) {G3,W9,D2,L3,V1,M1} R(97,18);r(23) { ! distinct_lines(
% 1.48/1.82 skol3, X ), apart_point_and_line( skol1, X ), apart_point_and_line( skol2
% 1.48/1.82 , X ) }.
% 1.48/1.82 parent0: (1532) {G2,W9,D2,L3,V1,M3} { ! distinct_lines( skol3, X ),
% 1.48/1.82 apart_point_and_line( skol1, X ), apart_point_and_line( skol2, X ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 X := X
% 1.48/1.82 end
% 1.48/1.82 permutation0:
% 1.48/1.82 0 ==> 0
% 1.48/1.82 1 ==> 1
% 1.48/1.82 2 ==> 2
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 resolution: (1534) {G3,W13,D3,L3,V1,M3} { ! distinct_points( X, skol2 ), !
% 1.48/1.82 distinct_lines( skol3, line_connecting( X, skol2 ) ),
% 1.48/1.82 apart_point_and_line( skol1, line_connecting( X, skol2 ) ) }.
% 1.48/1.82 parent0[1]: (132) {G2,W8,D3,L2,V2,M1} F(127);r(0) { ! distinct_points( Y, X
% 1.48/1.82 ), ! apart_point_and_line( X, line_connecting( Y, X ) ) }.
% 1.48/1.82 parent1[2]: (720) {G3,W9,D2,L3,V1,M1} R(97,18);r(23) { ! distinct_lines(
% 1.48/1.82 skol3, X ), apart_point_and_line( skol1, X ), apart_point_and_line( skol2
% 1.48/1.82 , X ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 X := skol2
% 1.48/1.82 Y := X
% 1.48/1.82 end
% 1.48/1.82 substitution1:
% 1.48/1.82 X := line_connecting( X, skol2 )
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 subsumption: (741) {G4,W13,D3,L3,V1,M1} R(720,132) { ! distinct_lines(
% 1.48/1.82 skol3, line_connecting( X, skol2 ) ), ! distinct_points( X, skol2 ),
% 1.48/1.82 apart_point_and_line( skol1, line_connecting( X, skol2 ) ) }.
% 1.48/1.82 parent0: (1534) {G3,W13,D3,L3,V1,M3} { ! distinct_points( X, skol2 ), !
% 1.48/1.82 distinct_lines( skol3, line_connecting( X, skol2 ) ),
% 1.48/1.82 apart_point_and_line( skol1, line_connecting( X, skol2 ) ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 X := X
% 1.48/1.82 end
% 1.48/1.82 permutation0:
% 1.48/1.82 0 ==> 1
% 1.48/1.82 1 ==> 0
% 1.48/1.82 2 ==> 2
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 resolution: (1535) {G3,W11,D3,L3,V0,M3} { ! distinct_points( skol1, skol2
% 1.48/1.82 ), ! distinct_lines( skol3, line_connecting( skol1, skol2 ) ), !
% 1.48/1.82 distinct_points( skol1, skol2 ) }.
% 1.48/1.82 parent0[1]: (131) {G2,W8,D3,L2,V2,M1} F(128);r(0) { ! distinct_points( X, Y
% 1.48/1.82 ), ! apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.48/1.82 parent1[2]: (741) {G4,W13,D3,L3,V1,M1} R(720,132) { ! distinct_lines( skol3
% 1.48/1.82 , line_connecting( X, skol2 ) ), ! distinct_points( X, skol2 ),
% 1.48/1.82 apart_point_and_line( skol1, line_connecting( X, skol2 ) ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 X := skol1
% 1.48/1.82 Y := skol2
% 1.48/1.82 end
% 1.48/1.82 substitution1:
% 1.48/1.82 X := skol1
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 resolution: (1537) {G1,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 1.48/1.82 , ! distinct_points( skol1, skol2 ) }.
% 1.48/1.82 parent0[1]: (1535) {G3,W11,D3,L3,V0,M3} { ! distinct_points( skol1, skol2
% 1.48/1.82 ), ! distinct_lines( skol3, line_connecting( skol1, skol2 ) ), !
% 1.48/1.82 distinct_points( skol1, skol2 ) }.
% 1.48/1.82 parent1[0]: (16) {G0,W5,D3,L1,V0,M1} I { distinct_lines( skol3,
% 1.48/1.82 line_connecting( skol1, skol2 ) ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 end
% 1.48/1.82 substitution1:
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 factor: (1538) {G1,W3,D2,L1,V0,M1} { ! distinct_points( skol1, skol2 ) }.
% 1.48/1.82 parent0[0, 1]: (1537) {G1,W6,D2,L2,V0,M2} { ! distinct_points( skol1,
% 1.48/1.82 skol2 ), ! distinct_points( skol1, skol2 ) }.
% 1.48/1.82 substitution0:
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 subsumption: (1422) {G5,W3,D2,L1,V0,M1} R(741,131);f;r(16) { !
% 1.48/1.82 distinct_points( skol1, skol2 ) }.
% 1.48/1.82 parent0: (1538) {G1,W3,D2,L1,V0,M1} { ! distinct_points( skol1, skol2 )
% 1.48/1.82 }.
% 1.48/1.82 substitution0:
% 1.48/1.82 end
% 1.48/1.82 permutation0:
% 1.48/1.82 0 ==> 0
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 resolution: (1539) {G1,W0,D0,L0,V0,M0} { }.
% 1.48/1.82 parent0[0]: (1422) {G5,W3,D2,L1,V0,M1} R(741,131);f;r(16) { !
% 1.48/1.82 distinct_points( skol1, skol2 ) }.
% 1.48/1.82 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.48/1.82 }.
% 1.48/1.82 substitution0:
% 1.48/1.82 end
% 1.48/1.82 substitution1:
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 subsumption: (1425) {G6,W0,D0,L0,V0,M0} S(1422);r(14) { }.
% 1.48/1.82 parent0: (1539) {G1,W0,D0,L0,V0,M0} { }.
% 1.48/1.82 substitution0:
% 1.48/1.82 end
% 1.48/1.82 permutation0:
% 1.48/1.82 end
% 1.48/1.82
% 1.48/1.82 Proof check complete!
% 1.48/1.82
% 1.48/1.82 Memory use:
% 1.48/1.82
% 1.48/1.82 space for terms: 20545
% 1.48/1.82 space for clauses: 50891
% 1.48/1.82
% 1.48/1.82
% 1.48/1.82 clauses generated: 78000
% 1.48/1.82 clauses kept: 1426
% 1.48/1.82 clauses selected: 629
% 1.48/1.82 clauses deleted: 9
% 1.48/1.82 clauses inuse deleted: 0
% 1.48/1.82
% 1.48/1.82 subsentry: 374182
% 1.48/1.82 literals s-matched: 177276
% 1.48/1.82 literals matched: 177246
% 1.48/1.82 full subsumption: 114353
% 1.48/1.82
% 1.48/1.82 checksum: 1842737917
% 1.48/1.82
% 1.48/1.82
% 1.48/1.82 Bliksem ended
%------------------------------------------------------------------------------