TSTP Solution File: GEO180+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO180+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:52:20 EDT 2022
% Result : Theorem 1.33s 1.71s
% Output : Refutation 1.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO180+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.11 % Command : bliksem %s
% 0.11/0.32 % Computer : n018.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % DateTime : Sat Jun 18 04:12:17 EDT 2022
% 0.11/0.32 % CPUTime :
% 1.33/1.71 *** allocated 10000 integers for termspace/termends
% 1.33/1.71 *** allocated 10000 integers for clauses
% 1.33/1.71 *** allocated 10000 integers for justifications
% 1.33/1.71 Bliksem 1.12
% 1.33/1.71
% 1.33/1.71
% 1.33/1.71 Automatic Strategy Selection
% 1.33/1.71
% 1.33/1.71
% 1.33/1.71 Clauses:
% 1.33/1.71
% 1.33/1.71 { ! distinct_points( X, X ) }.
% 1.33/1.71 { ! distinct_lines( X, X ) }.
% 1.33/1.71 { ! convergent_lines( X, X ) }.
% 1.33/1.71 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 1.33/1.71 ) }.
% 1.33/1.71 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 1.33/1.71 }.
% 1.33/1.71 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 1.33/1.71 , Z ) }.
% 1.33/1.71 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 1.33/1.71 , Y ) ) }.
% 1.33/1.71 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 1.33/1.71 , Y ) ) }.
% 1.33/1.71 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 1.33/1.71 , Y ), X ) }.
% 1.33/1.71 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 1.33/1.71 , Y ), Y ) }.
% 1.33/1.71 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 1.33/1.71 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.33/1.71 apart_point_and_line( Y, T ) }.
% 1.33/1.71 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 1.33/1.71 apart_point_and_line( Z, Y ) }.
% 1.33/1.71 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 1.33/1.71 apart_point_and_line( X, Z ) }.
% 1.33/1.71 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 1.33/1.71 Z ) }.
% 1.33/1.71 { distinct_points( skol1, skol2 ) }.
% 1.33/1.71 { apart_point_and_line( skol3, line_connecting( skol1, skol2 ) ) }.
% 1.33/1.71 { ! apart_point_and_line( skol1, line_connecting( skol3, skol2 ) ) }.
% 1.33/1.71
% 1.33/1.71 percentage equality = 0.000000, percentage horn = 0.588235
% 1.33/1.71 This a non-horn, non-equality problem
% 1.33/1.71
% 1.33/1.71
% 1.33/1.71 Options Used:
% 1.33/1.71
% 1.33/1.71 useres = 1
% 1.33/1.71 useparamod = 0
% 1.33/1.71 useeqrefl = 0
% 1.33/1.71 useeqfact = 0
% 1.33/1.71 usefactor = 1
% 1.33/1.71 usesimpsplitting = 0
% 1.33/1.71 usesimpdemod = 0
% 1.33/1.71 usesimpres = 3
% 1.33/1.71
% 1.33/1.71 resimpinuse = 1000
% 1.33/1.71 resimpclauses = 20000
% 1.33/1.71 substype = standard
% 1.33/1.71 backwardsubs = 1
% 1.33/1.71 selectoldest = 5
% 1.33/1.71
% 1.33/1.71 litorderings [0] = split
% 1.33/1.71 litorderings [1] = liftord
% 1.33/1.71
% 1.33/1.71 termordering = none
% 1.33/1.71
% 1.33/1.71 litapriori = 1
% 1.33/1.71 termapriori = 0
% 1.33/1.71 litaposteriori = 0
% 1.33/1.71 termaposteriori = 0
% 1.33/1.71 demodaposteriori = 0
% 1.33/1.71 ordereqreflfact = 0
% 1.33/1.71
% 1.33/1.71 litselect = none
% 1.33/1.71
% 1.33/1.71 maxweight = 15
% 1.33/1.71 maxdepth = 30000
% 1.33/1.71 maxlength = 115
% 1.33/1.71 maxnrvars = 195
% 1.33/1.71 excuselevel = 1
% 1.33/1.71 increasemaxweight = 1
% 1.33/1.71
% 1.33/1.71 maxselected = 10000000
% 1.33/1.71 maxnrclauses = 10000000
% 1.33/1.71
% 1.33/1.71 showgenerated = 0
% 1.33/1.71 showkept = 0
% 1.33/1.71 showselected = 0
% 1.33/1.71 showdeleted = 0
% 1.33/1.71 showresimp = 1
% 1.33/1.71 showstatus = 2000
% 1.33/1.71
% 1.33/1.71 prologoutput = 0
% 1.33/1.71 nrgoals = 5000000
% 1.33/1.71 totalproof = 1
% 1.33/1.71
% 1.33/1.71 Symbols occurring in the translation:
% 1.33/1.71
% 1.33/1.71 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.33/1.71 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 1.33/1.71 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 1.33/1.71 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.33/1.71 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.33/1.71 distinct_points [36, 2] (w:1, o:44, a:1, s:1, b:0),
% 1.33/1.71 distinct_lines [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 1.33/1.71 convergent_lines [38, 2] (w:1, o:43, a:1, s:1, b:0),
% 1.33/1.71 line_connecting [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 1.33/1.71 apart_point_and_line [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 1.33/1.71 intersection_point [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 1.33/1.71 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.33/1.71 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.33/1.71 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0).
% 1.33/1.71
% 1.33/1.71
% 1.33/1.71 Starting Search:
% 1.33/1.71
% 1.33/1.71 *** allocated 15000 integers for clauses
% 1.33/1.71 *** allocated 22500 integers for clauses
% 1.33/1.71 *** allocated 33750 integers for clauses
% 1.33/1.71 *** allocated 15000 integers for termspace/termends
% 1.33/1.71 *** allocated 50625 integers for clauses
% 1.33/1.71
% 1.33/1.71 Bliksems!, er is een bewijs:
% 1.33/1.71 % SZS status Theorem
% 1.33/1.71 % SZS output start Refutation
% 1.33/1.71
% 1.33/1.71 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 1.33/1.71 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 1.33/1.71 , ! distinct_lines( X, Y ) }.
% 1.33/1.71 (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.33/1.71 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.33/1.71 (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.33/1.71 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.33/1.71 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 1.33/1.71 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.33/1.71 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 1.33/1.71 (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 1.33/1.71 ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.33/1.71 (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ), apart_point_and_line(
% 1.33/1.71 X, Z ), ! apart_point_and_line( X, Y ) }.
% 1.33/1.71 (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 ) }.
% 1.33/1.71 (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol3, line_connecting(
% 1.33/1.71 skol1, skol2 ) ) }.
% 1.33/1.71 (16) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol1, line_connecting
% 1.33/1.71 ( skol3, skol2 ) ) }.
% 1.33/1.71 (28) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 1.33/1.71 ( X, Y ) }.
% 1.33/1.71 (29) {G2,W9,D2,L3,V3,M3} R(28,4) { distinct_lines( Z, X ), ! distinct_lines
% 1.33/1.71 ( Y, Z ), distinct_lines( X, Y ) }.
% 1.33/1.71 (53) {G1,W22,D3,L6,V4,M3} R(10,6) { ! distinct_points( X, Y ), !
% 1.33/1.71 distinct_lines( Z, line_connecting( X, T ) ), ! distinct_points( X, T ),
% 1.33/1.71 apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ),
% 1.33/1.71 apart_point_and_line( Y, line_connecting( X, T ) ) }.
% 1.33/1.71 (58) {G1,W22,D3,L6,V4,M3} R(10,7) { ! distinct_points( X, Y ), !
% 1.33/1.71 distinct_lines( line_connecting( Z, Y ), T ), ! distinct_points( Z, Y ),
% 1.33/1.71 apart_point_and_line( X, line_connecting( Z, Y ) ), apart_point_and_line
% 1.33/1.71 ( X, T ), apart_point_and_line( Y, T ) }.
% 1.33/1.71 (97) {G1,W8,D3,L2,V1,M1} R(11,15) { distinct_points( skol3, X ),
% 1.33/1.71 apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 1.33/1.71 (100) {G2,W3,D2,L1,V0,M1} R(97,6);r(14) { distinct_points( skol3, skol1 )
% 1.33/1.71 }.
% 1.33/1.71 (101) {G2,W3,D2,L1,V0,M1} R(97,7);r(14) { distinct_points( skol3, skol2 )
% 1.33/1.71 }.
% 1.33/1.71 (124) {G1,W8,D3,L2,V1,M1} R(12,15) { distinct_lines( line_connecting( skol1
% 1.33/1.71 , skol2 ), X ), apart_point_and_line( skol3, X ) }.
% 1.33/1.71 (174) {G2,W10,D3,L2,V1,M1} R(124,6) { ! distinct_points( skol3, X ),
% 1.33/1.71 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol3,
% 1.33/1.71 X ) ) }.
% 1.33/1.71 (290) {G3,W13,D3,L3,V2,M2} R(174,29) { ! distinct_points( skol3, X ),
% 1.33/1.71 distinct_lines( Y, line_connecting( skol1, skol2 ) ), distinct_lines(
% 1.33/1.71 line_connecting( skol3, X ), Y ) }.
% 1.33/1.71 (457) {G3,W14,D3,L4,V1,M1} R(53,16);r(100) { ! distinct_points( skol3,
% 1.33/1.71 skol2 ), ! distinct_lines( X, line_connecting( skol3, skol2 ) ),
% 1.33/1.71 apart_point_and_line( skol1, X ), apart_point_and_line( skol3, X ) }.
% 1.33/1.71 (572) {G2,W14,D3,L4,V1,M1} R(58,16);r(14) { ! distinct_points( skol3, skol2
% 1.33/1.71 ), ! distinct_lines( line_connecting( skol3, skol2 ), X ),
% 1.33/1.71 apart_point_and_line( skol1, X ), apart_point_and_line( skol2, X ) }.
% 1.33/1.71 (583) {G3,W11,D3,L3,V1,M1} S(572);r(101) { ! distinct_lines(
% 1.33/1.71 line_connecting( skol3, skol2 ), X ), apart_point_and_line( skol1, X ),
% 1.33/1.71 apart_point_and_line( skol2, X ) }.
% 1.33/1.71 (589) {G4,W15,D3,L3,V1,M1} R(583,7) { ! distinct_lines( line_connecting(
% 1.33/1.71 skol3, skol2 ), line_connecting( X, skol2 ) ), ! distinct_points( X,
% 1.33/1.71 skol2 ), apart_point_and_line( skol1, line_connecting( X, skol2 ) ) }.
% 1.33/1.71 (604) {G4,W11,D3,L3,V1,M1} S(457);r(101) { ! distinct_lines( X,
% 1.33/1.71 line_connecting( skol3, skol2 ) ), apart_point_and_line( skol1, X ),
% 1.33/1.71 apart_point_and_line( skol3, X ) }.
% 1.33/1.71 (609) {G5,W15,D3,L3,V1,M1} R(604,6) { ! distinct_lines( line_connecting(
% 1.33/1.71 skol3, X ), line_connecting( skol3, skol2 ) ), ! distinct_points( skol3,
% 1.33/1.71 X ), apart_point_and_line( skol1, line_connecting( skol3, X ) ) }.
% 1.33/1.71 (613) {G6,W7,D3,L1,V0,M1} R(609,7);f;r(100) { ! distinct_lines(
% 1.33/1.71 line_connecting( skol3, skol1 ), line_connecting( skol3, skol2 ) ) }.
% 1.33/1.71 (615) {G7,W7,D3,L1,V0,M1} R(613,290);r(100) { distinct_lines(
% 1.33/1.71 line_connecting( skol3, skol2 ), line_connecting( skol1, skol2 ) ) }.
% 1.33/1.71 (932) {G8,W3,D2,L1,V0,M1} R(589,6);f;r(615) { ! distinct_points( skol1,
% 1.33/1.71 skol2 ) }.
% 1.33/1.71 (933) {G9,W0,D0,L0,V0,M0} S(932);r(14) { }.
% 1.33/1.71
% 1.33/1.71
% 1.33/1.71 % SZS output end Refutation
% 1.33/1.71 found a proof!
% 1.33/1.71
% 1.33/1.71
% 1.33/1.71 Unprocessed initial clauses:
% 1.33/1.71
% 1.33/1.71 (935) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 1.33/1.71 (936) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 1.33/1.71 (937) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 1.33/1.71 (938) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 1.33/1.71 , Z ), distinct_points( Y, Z ) }.
% 1.33/1.71 (939) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 1.33/1.71 ), distinct_lines( Y, Z ) }.
% 1.33/1.71 (940) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines(
% 1.33/1.71 X, Z ), convergent_lines( Y, Z ) }.
% 1.33/1.71 (941) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.33/1.71 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.33/1.71 (942) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.33/1.71 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.33/1.71 (943) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 1.33/1.71 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 1.33/1.71 (944) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 1.33/1.71 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 1.33/1.71 (945) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines(
% 1.33/1.71 Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 1.33/1.71 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 1.33/1.71 (946) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.33/1.71 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 1.33/1.71 (947) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ), distinct_lines
% 1.33/1.71 ( Y, Z ), apart_point_and_line( X, Z ) }.
% 1.33/1.71 (948) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines( Y
% 1.33/1.71 , Z ), convergent_lines( X, Z ) }.
% 1.33/1.71 (949) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 1.33/1.71 (950) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( skol3, line_connecting(
% 1.33/1.71 skol1, skol2 ) ) }.
% 1.33/1.71 (951) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( skol1, line_connecting
% 1.33/1.71 ( skol3, skol2 ) ) }.
% 1.33/1.71
% 1.33/1.71
% 1.33/1.71 Total Proof:
% 1.33/1.71
% 1.33/1.71 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 1.33/1.71 parent0: (936) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := X
% 1.33/1.71 end
% 1.33/1.71 permutation0:
% 1.33/1.71 0 ==> 0
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 1.33/1.71 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 1.33/1.71 parent0: (939) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 1.33/1.71 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := X
% 1.33/1.71 Y := Y
% 1.33/1.71 Z := Z
% 1.33/1.71 end
% 1.33/1.71 permutation0:
% 1.33/1.71 0 ==> 2
% 1.33/1.71 1 ==> 0
% 1.33/1.71 2 ==> 1
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 subsumption: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.33/1.71 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.33/1.71 parent0: (941) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.33/1.71 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := X
% 1.33/1.71 Y := Y
% 1.33/1.71 end
% 1.33/1.71 permutation0:
% 1.33/1.71 0 ==> 0
% 1.33/1.71 1 ==> 1
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 subsumption: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.33/1.71 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.33/1.71 parent0: (942) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.33/1.71 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := X
% 1.33/1.71 Y := Y
% 1.33/1.71 end
% 1.33/1.71 permutation0:
% 1.33/1.71 0 ==> 0
% 1.33/1.71 1 ==> 1
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 1.33/1.71 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 1.33/1.71 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 1.33/1.71 apart_point_and_line( X, Z ) }.
% 1.33/1.71 parent0: (945) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 1.33/1.71 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 1.33/1.71 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.33/1.71 apart_point_and_line( Y, T ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := X
% 1.33/1.71 Y := Y
% 1.33/1.71 Z := Z
% 1.33/1.71 T := T
% 1.33/1.71 end
% 1.33/1.71 permutation0:
% 1.33/1.71 0 ==> 0
% 1.33/1.71 1 ==> 1
% 1.33/1.71 2 ==> 5
% 1.33/1.71 3 ==> 2
% 1.33/1.71 4 ==> 3
% 1.33/1.71 5 ==> 4
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 1.33/1.71 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.33/1.71 parent0: (946) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.33/1.71 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := X
% 1.33/1.71 Y := Y
% 1.33/1.71 Z := Z
% 1.33/1.71 end
% 1.33/1.71 permutation0:
% 1.33/1.71 0 ==> 2
% 1.33/1.71 1 ==> 0
% 1.33/1.71 2 ==> 1
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 subsumption: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 1.33/1.71 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 1.33/1.71 parent0: (947) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.33/1.71 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := X
% 1.33/1.71 Y := Y
% 1.33/1.71 Z := Z
% 1.33/1.71 end
% 1.33/1.71 permutation0:
% 1.33/1.71 0 ==> 2
% 1.33/1.71 1 ==> 0
% 1.33/1.71 2 ==> 1
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.33/1.71 }.
% 1.33/1.71 parent0: (949) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 end
% 1.33/1.71 permutation0:
% 1.33/1.71 0 ==> 0
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 subsumption: (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol3,
% 1.33/1.71 line_connecting( skol1, skol2 ) ) }.
% 1.33/1.71 parent0: (950) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( skol3,
% 1.33/1.71 line_connecting( skol1, skol2 ) ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 end
% 1.33/1.71 permutation0:
% 1.33/1.71 0 ==> 0
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 subsumption: (16) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 1.33/1.71 line_connecting( skol3, skol2 ) ) }.
% 1.33/1.71 parent0: (951) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( skol1,
% 1.33/1.71 line_connecting( skol3, skol2 ) ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 end
% 1.33/1.71 permutation0:
% 1.33/1.71 0 ==> 0
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 resolution: (1014) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 1.33/1.71 distinct_lines( X, Y ) }.
% 1.33/1.71 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 1.33/1.71 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 1.33/1.71 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := X
% 1.33/1.71 end
% 1.33/1.71 substitution1:
% 1.33/1.71 X := X
% 1.33/1.71 Y := Y
% 1.33/1.71 Z := X
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 subsumption: (28) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 1.33/1.71 distinct_lines( X, Y ) }.
% 1.33/1.71 parent0: (1014) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 1.33/1.71 distinct_lines( X, Y ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := Y
% 1.33/1.71 Y := X
% 1.33/1.71 end
% 1.33/1.71 permutation0:
% 1.33/1.71 0 ==> 1
% 1.33/1.71 1 ==> 0
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 resolution: (1016) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ),
% 1.33/1.71 distinct_lines( Z, Y ), ! distinct_lines( X, Z ) }.
% 1.33/1.71 parent0[0]: (28) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 1.33/1.71 distinct_lines( X, Y ) }.
% 1.33/1.71 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 1.33/1.71 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := Y
% 1.33/1.71 Y := X
% 1.33/1.71 end
% 1.33/1.71 substitution1:
% 1.33/1.71 X := X
% 1.33/1.71 Y := Z
% 1.33/1.71 Z := Y
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 subsumption: (29) {G2,W9,D2,L3,V3,M3} R(28,4) { distinct_lines( Z, X ), !
% 1.33/1.71 distinct_lines( Y, Z ), distinct_lines( X, Y ) }.
% 1.33/1.71 parent0: (1016) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ),
% 1.33/1.71 distinct_lines( Z, Y ), ! distinct_lines( X, Z ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := Y
% 1.33/1.71 Y := X
% 1.33/1.71 Z := Z
% 1.33/1.71 end
% 1.33/1.71 permutation0:
% 1.33/1.71 0 ==> 2
% 1.33/1.71 1 ==> 0
% 1.33/1.71 2 ==> 1
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 resolution: (1019) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 1.33/1.71 distinct_points( X, Z ), ! distinct_lines( T, line_connecting( X, Y ) ),
% 1.33/1.71 apart_point_and_line( Z, T ), apart_point_and_line( Z, line_connecting( X
% 1.33/1.71 , Y ) ), apart_point_and_line( X, T ) }.
% 1.33/1.71 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.33/1.71 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.33/1.71 parent1[2]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 1.33/1.71 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 1.33/1.71 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 1.33/1.71 apart_point_and_line( X, Z ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := X
% 1.33/1.71 Y := Y
% 1.33/1.71 end
% 1.33/1.71 substitution1:
% 1.33/1.71 X := X
% 1.33/1.71 Y := Z
% 1.33/1.71 Z := T
% 1.33/1.71 T := line_connecting( X, Y )
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 subsumption: (53) {G1,W22,D3,L6,V4,M3} R(10,6) { ! distinct_points( X, Y )
% 1.33/1.71 , ! distinct_lines( Z, line_connecting( X, T ) ), ! distinct_points( X, T
% 1.33/1.71 ), apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ),
% 1.33/1.71 apart_point_and_line( Y, line_connecting( X, T ) ) }.
% 1.33/1.71 parent0: (1019) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 1.33/1.71 distinct_points( X, Z ), ! distinct_lines( T, line_connecting( X, Y ) ),
% 1.33/1.71 apart_point_and_line( Z, T ), apart_point_and_line( Z, line_connecting( X
% 1.33/1.71 , Y ) ), apart_point_and_line( X, T ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := X
% 1.33/1.71 Y := T
% 1.33/1.71 Z := Y
% 1.33/1.71 T := Z
% 1.33/1.71 end
% 1.33/1.71 permutation0:
% 1.33/1.71 0 ==> 2
% 1.33/1.71 1 ==> 0
% 1.33/1.71 2 ==> 1
% 1.33/1.71 3 ==> 4
% 1.33/1.71 4 ==> 5
% 1.33/1.71 5 ==> 3
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 resolution: (1036) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 1.33/1.71 distinct_points( Z, Y ), ! distinct_lines( line_connecting( X, Y ), T ),
% 1.33/1.71 apart_point_and_line( Z, T ), apart_point_and_line( Y, T ),
% 1.33/1.71 apart_point_and_line( Z, line_connecting( X, Y ) ) }.
% 1.33/1.71 parent0[1]: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.33/1.71 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.33/1.71 parent1[3]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 1.33/1.71 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 1.33/1.71 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 1.33/1.71 apart_point_and_line( X, Z ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := X
% 1.33/1.71 Y := Y
% 1.33/1.71 end
% 1.33/1.71 substitution1:
% 1.33/1.71 X := Z
% 1.33/1.71 Y := Y
% 1.33/1.71 Z := line_connecting( X, Y )
% 1.33/1.71 T := T
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 subsumption: (58) {G1,W22,D3,L6,V4,M3} R(10,7) { ! distinct_points( X, Y )
% 1.33/1.71 , ! distinct_lines( line_connecting( Z, Y ), T ), ! distinct_points( Z, Y
% 1.33/1.71 ), apart_point_and_line( X, line_connecting( Z, Y ) ),
% 1.33/1.71 apart_point_and_line( X, T ), apart_point_and_line( Y, T ) }.
% 1.33/1.71 parent0: (1036) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 1.33/1.71 distinct_points( Z, Y ), ! distinct_lines( line_connecting( X, Y ), T ),
% 1.33/1.71 apart_point_and_line( Z, T ), apart_point_and_line( Y, T ),
% 1.33/1.71 apart_point_and_line( Z, line_connecting( X, Y ) ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := Z
% 1.33/1.71 Y := Y
% 1.33/1.71 Z := X
% 1.33/1.71 T := T
% 1.33/1.71 end
% 1.33/1.71 permutation0:
% 1.33/1.71 0 ==> 2
% 1.33/1.71 1 ==> 0
% 1.33/1.71 2 ==> 1
% 1.33/1.71 3 ==> 4
% 1.33/1.71 4 ==> 5
% 1.33/1.71 5 ==> 3
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 resolution: (1051) {G1,W8,D3,L2,V1,M2} { distinct_points( skol3, X ),
% 1.33/1.71 apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 1.33/1.71 parent0[2]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 1.33/1.71 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.33/1.71 parent1[0]: (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol3,
% 1.33/1.71 line_connecting( skol1, skol2 ) ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := skol3
% 1.33/1.71 Y := line_connecting( skol1, skol2 )
% 1.33/1.71 Z := X
% 1.33/1.71 end
% 1.33/1.71 substitution1:
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 subsumption: (97) {G1,W8,D3,L2,V1,M1} R(11,15) { distinct_points( skol3, X
% 1.33/1.71 ), apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 1.33/1.71 parent0: (1051) {G1,W8,D3,L2,V1,M2} { distinct_points( skol3, X ),
% 1.33/1.71 apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := X
% 1.33/1.71 end
% 1.33/1.71 permutation0:
% 1.33/1.71 0 ==> 0
% 1.33/1.71 1 ==> 1
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 resolution: (1053) {G1,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 1.33/1.71 , distinct_points( skol3, skol1 ) }.
% 1.33/1.71 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.33/1.71 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.33/1.71 parent1[1]: (97) {G1,W8,D3,L2,V1,M1} R(11,15) { distinct_points( skol3, X )
% 1.33/1.71 , apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := skol1
% 1.33/1.71 Y := skol2
% 1.33/1.71 end
% 1.33/1.71 substitution1:
% 1.33/1.71 X := skol1
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 resolution: (1054) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol1 )
% 1.33/1.71 }.
% 1.33/1.71 parent0[0]: (1053) {G1,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 1.33/1.71 , distinct_points( skol3, skol1 ) }.
% 1.33/1.71 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.33/1.71 }.
% 1.33/1.71 substitution0:
% 1.33/1.71 end
% 1.33/1.71 substitution1:
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 subsumption: (100) {G2,W3,D2,L1,V0,M1} R(97,6);r(14) { distinct_points(
% 1.33/1.71 skol3, skol1 ) }.
% 1.33/1.71 parent0: (1054) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol1 ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 end
% 1.33/1.71 permutation0:
% 1.33/1.71 0 ==> 0
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 resolution: (1056) {G1,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 1.33/1.71 , distinct_points( skol3, skol2 ) }.
% 1.33/1.71 parent0[1]: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.33/1.71 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.33/1.71 parent1[1]: (97) {G1,W8,D3,L2,V1,M1} R(11,15) { distinct_points( skol3, X )
% 1.33/1.71 , apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := skol1
% 1.33/1.71 Y := skol2
% 1.33/1.71 end
% 1.33/1.71 substitution1:
% 1.33/1.71 X := skol2
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 resolution: (1057) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol2 )
% 1.33/1.71 }.
% 1.33/1.71 parent0[0]: (1056) {G1,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 1.33/1.71 , distinct_points( skol3, skol2 ) }.
% 1.33/1.71 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.33/1.71 }.
% 1.33/1.71 substitution0:
% 1.33/1.71 end
% 1.33/1.71 substitution1:
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 subsumption: (101) {G2,W3,D2,L1,V0,M1} R(97,7);r(14) { distinct_points(
% 1.33/1.71 skol3, skol2 ) }.
% 1.33/1.71 parent0: (1057) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol2 ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 end
% 1.33/1.71 permutation0:
% 1.33/1.71 0 ==> 0
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 resolution: (1058) {G1,W8,D3,L2,V1,M2} { distinct_lines( line_connecting(
% 1.33/1.71 skol1, skol2 ), X ), apart_point_and_line( skol3, X ) }.
% 1.33/1.71 parent0[2]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 1.33/1.71 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 1.33/1.71 parent1[0]: (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol3,
% 1.33/1.71 line_connecting( skol1, skol2 ) ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := skol3
% 1.33/1.71 Y := line_connecting( skol1, skol2 )
% 1.33/1.71 Z := X
% 1.33/1.71 end
% 1.33/1.71 substitution1:
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 subsumption: (124) {G1,W8,D3,L2,V1,M1} R(12,15) { distinct_lines(
% 1.33/1.71 line_connecting( skol1, skol2 ), X ), apart_point_and_line( skol3, X )
% 1.33/1.71 }.
% 1.33/1.71 parent0: (1058) {G1,W8,D3,L2,V1,M2} { distinct_lines( line_connecting(
% 1.33/1.71 skol1, skol2 ), X ), apart_point_and_line( skol3, X ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := X
% 1.33/1.71 end
% 1.33/1.71 permutation0:
% 1.33/1.71 0 ==> 0
% 1.33/1.71 1 ==> 1
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 resolution: (1059) {G1,W10,D3,L2,V1,M2} { ! distinct_points( skol3, X ),
% 1.33/1.71 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol3,
% 1.33/1.71 X ) ) }.
% 1.33/1.71 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.33/1.71 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.33/1.71 parent1[1]: (124) {G1,W8,D3,L2,V1,M1} R(12,15) { distinct_lines(
% 1.33/1.71 line_connecting( skol1, skol2 ), X ), apart_point_and_line( skol3, X )
% 1.33/1.71 }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := skol3
% 1.33/1.71 Y := X
% 1.33/1.71 end
% 1.33/1.71 substitution1:
% 1.33/1.71 X := line_connecting( skol3, X )
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 subsumption: (174) {G2,W10,D3,L2,V1,M1} R(124,6) { ! distinct_points( skol3
% 1.33/1.71 , X ), distinct_lines( line_connecting( skol1, skol2 ), line_connecting(
% 1.33/1.71 skol3, X ) ) }.
% 1.33/1.71 parent0: (1059) {G1,W10,D3,L2,V1,M2} { ! distinct_points( skol3, X ),
% 1.33/1.71 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol3,
% 1.33/1.71 X ) ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := X
% 1.33/1.71 end
% 1.33/1.71 permutation0:
% 1.33/1.71 0 ==> 0
% 1.33/1.71 1 ==> 1
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 resolution: (1060) {G3,W13,D3,L3,V2,M3} { distinct_lines( line_connecting
% 1.33/1.71 ( skol3, X ), Y ), distinct_lines( Y, line_connecting( skol1, skol2 ) ),
% 1.33/1.71 ! distinct_points( skol3, X ) }.
% 1.33/1.71 parent0[1]: (29) {G2,W9,D2,L3,V3,M3} R(28,4) { distinct_lines( Z, X ), !
% 1.33/1.71 distinct_lines( Y, Z ), distinct_lines( X, Y ) }.
% 1.33/1.71 parent1[1]: (174) {G2,W10,D3,L2,V1,M1} R(124,6) { ! distinct_points( skol3
% 1.33/1.71 , X ), distinct_lines( line_connecting( skol1, skol2 ), line_connecting(
% 1.33/1.71 skol3, X ) ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := Y
% 1.33/1.71 Y := line_connecting( skol1, skol2 )
% 1.33/1.71 Z := line_connecting( skol3, X )
% 1.33/1.71 end
% 1.33/1.71 substitution1:
% 1.33/1.71 X := X
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 subsumption: (290) {G3,W13,D3,L3,V2,M2} R(174,29) { ! distinct_points(
% 1.33/1.71 skol3, X ), distinct_lines( Y, line_connecting( skol1, skol2 ) ),
% 1.33/1.71 distinct_lines( line_connecting( skol3, X ), Y ) }.
% 1.33/1.71 parent0: (1060) {G3,W13,D3,L3,V2,M3} { distinct_lines( line_connecting(
% 1.33/1.71 skol3, X ), Y ), distinct_lines( Y, line_connecting( skol1, skol2 ) ), !
% 1.33/1.71 distinct_points( skol3, X ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := X
% 1.33/1.71 Y := Y
% 1.33/1.71 end
% 1.33/1.71 permutation0:
% 1.33/1.71 0 ==> 2
% 1.33/1.71 1 ==> 1
% 1.33/1.71 2 ==> 0
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 *** allocated 22500 integers for termspace/termends
% 1.33/1.71 resolution: (1063) {G1,W17,D3,L5,V1,M5} { ! distinct_points( skol3, skol1
% 1.33/1.71 ), ! distinct_lines( X, line_connecting( skol3, skol2 ) ), !
% 1.33/1.71 distinct_points( skol3, skol2 ), apart_point_and_line( skol3, X ),
% 1.33/1.71 apart_point_and_line( skol1, X ) }.
% 1.33/1.71 parent0[0]: (16) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 1.33/1.71 line_connecting( skol3, skol2 ) ) }.
% 1.33/1.71 parent1[5]: (53) {G1,W22,D3,L6,V4,M3} R(10,6) { ! distinct_points( X, Y ),
% 1.33/1.71 ! distinct_lines( Z, line_connecting( X, T ) ), ! distinct_points( X, T )
% 1.33/1.71 , apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ),
% 1.33/1.71 apart_point_and_line( Y, line_connecting( X, T ) ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 end
% 1.33/1.71 substitution1:
% 1.33/1.71 X := skol3
% 1.33/1.71 Y := skol1
% 1.33/1.71 Z := X
% 1.33/1.71 T := skol2
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 resolution: (1066) {G2,W14,D3,L4,V1,M4} { ! distinct_lines( X,
% 1.33/1.71 line_connecting( skol3, skol2 ) ), ! distinct_points( skol3, skol2 ),
% 1.33/1.71 apart_point_and_line( skol3, X ), apart_point_and_line( skol1, X ) }.
% 1.33/1.71 parent0[0]: (1063) {G1,W17,D3,L5,V1,M5} { ! distinct_points( skol3, skol1
% 1.33/1.71 ), ! distinct_lines( X, line_connecting( skol3, skol2 ) ), !
% 1.33/1.71 distinct_points( skol3, skol2 ), apart_point_and_line( skol3, X ),
% 1.33/1.71 apart_point_and_line( skol1, X ) }.
% 1.33/1.71 parent1[0]: (100) {G2,W3,D2,L1,V0,M1} R(97,6);r(14) { distinct_points(
% 1.33/1.71 skol3, skol1 ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := X
% 1.33/1.71 end
% 1.33/1.71 substitution1:
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 subsumption: (457) {G3,W14,D3,L4,V1,M1} R(53,16);r(100) { ! distinct_points
% 1.33/1.71 ( skol3, skol2 ), ! distinct_lines( X, line_connecting( skol3, skol2 ) )
% 1.33/1.71 , apart_point_and_line( skol1, X ), apart_point_and_line( skol3, X ) }.
% 1.33/1.71 parent0: (1066) {G2,W14,D3,L4,V1,M4} { ! distinct_lines( X,
% 1.33/1.71 line_connecting( skol3, skol2 ) ), ! distinct_points( skol3, skol2 ),
% 1.33/1.71 apart_point_and_line( skol3, X ), apart_point_and_line( skol1, X ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := X
% 1.33/1.71 end
% 1.33/1.71 permutation0:
% 1.33/1.71 0 ==> 1
% 1.33/1.71 1 ==> 0
% 1.33/1.71 2 ==> 3
% 1.33/1.71 3 ==> 2
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 resolution: (1067) {G1,W17,D3,L5,V1,M5} { ! distinct_points( skol1, skol2
% 1.33/1.71 ), ! distinct_lines( line_connecting( skol3, skol2 ), X ), !
% 1.33/1.71 distinct_points( skol3, skol2 ), apart_point_and_line( skol1, X ),
% 1.33/1.71 apart_point_and_line( skol2, X ) }.
% 1.33/1.71 parent0[0]: (16) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol1,
% 1.33/1.71 line_connecting( skol3, skol2 ) ) }.
% 1.33/1.71 parent1[3]: (58) {G1,W22,D3,L6,V4,M3} R(10,7) { ! distinct_points( X, Y ),
% 1.33/1.71 ! distinct_lines( line_connecting( Z, Y ), T ), ! distinct_points( Z, Y )
% 1.33/1.71 , apart_point_and_line( X, line_connecting( Z, Y ) ),
% 1.33/1.71 apart_point_and_line( X, T ), apart_point_and_line( Y, T ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 end
% 1.33/1.71 substitution1:
% 1.33/1.71 X := skol1
% 1.33/1.71 Y := skol2
% 1.33/1.71 Z := skol3
% 1.33/1.71 T := X
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 resolution: (1072) {G1,W14,D3,L4,V1,M4} { ! distinct_lines(
% 1.33/1.71 line_connecting( skol3, skol2 ), X ), ! distinct_points( skol3, skol2 ),
% 1.33/1.71 apart_point_and_line( skol1, X ), apart_point_and_line( skol2, X ) }.
% 1.33/1.71 parent0[0]: (1067) {G1,W17,D3,L5,V1,M5} { ! distinct_points( skol1, skol2
% 1.33/1.71 ), ! distinct_lines( line_connecting( skol3, skol2 ), X ), !
% 1.33/1.71 distinct_points( skol3, skol2 ), apart_point_and_line( skol1, X ),
% 1.33/1.71 apart_point_and_line( skol2, X ) }.
% 1.33/1.71 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.33/1.71 }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := X
% 1.33/1.71 end
% 1.33/1.71 substitution1:
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 subsumption: (572) {G2,W14,D3,L4,V1,M1} R(58,16);r(14) { ! distinct_points
% 1.33/1.71 ( skol3, skol2 ), ! distinct_lines( line_connecting( skol3, skol2 ), X )
% 1.33/1.71 , apart_point_and_line( skol1, X ), apart_point_and_line( skol2, X ) }.
% 1.33/1.71 parent0: (1072) {G1,W14,D3,L4,V1,M4} { ! distinct_lines( line_connecting(
% 1.33/1.71 skol3, skol2 ), X ), ! distinct_points( skol3, skol2 ),
% 1.33/1.71 apart_point_and_line( skol1, X ), apart_point_and_line( skol2, X ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := X
% 1.33/1.71 end
% 1.33/1.71 permutation0:
% 1.33/1.71 0 ==> 1
% 1.33/1.71 1 ==> 0
% 1.33/1.71 2 ==> 2
% 1.33/1.71 3 ==> 3
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 resolution: (1073) {G3,W11,D3,L3,V1,M3} { ! distinct_lines(
% 1.33/1.71 line_connecting( skol3, skol2 ), X ), apart_point_and_line( skol1, X ),
% 1.33/1.71 apart_point_and_line( skol2, X ) }.
% 1.33/1.71 parent0[0]: (572) {G2,W14,D3,L4,V1,M1} R(58,16);r(14) { ! distinct_points(
% 1.33/1.71 skol3, skol2 ), ! distinct_lines( line_connecting( skol3, skol2 ), X ),
% 1.33/1.71 apart_point_and_line( skol1, X ), apart_point_and_line( skol2, X ) }.
% 1.33/1.71 parent1[0]: (101) {G2,W3,D2,L1,V0,M1} R(97,7);r(14) { distinct_points(
% 1.33/1.71 skol3, skol2 ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := X
% 1.33/1.71 end
% 1.33/1.71 substitution1:
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 subsumption: (583) {G3,W11,D3,L3,V1,M1} S(572);r(101) { ! distinct_lines(
% 1.33/1.71 line_connecting( skol3, skol2 ), X ), apart_point_and_line( skol1, X ),
% 1.33/1.71 apart_point_and_line( skol2, X ) }.
% 1.33/1.71 parent0: (1073) {G3,W11,D3,L3,V1,M3} { ! distinct_lines( line_connecting(
% 1.33/1.71 skol3, skol2 ), X ), apart_point_and_line( skol1, X ),
% 1.33/1.71 apart_point_and_line( skol2, X ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := X
% 1.33/1.71 end
% 1.33/1.71 permutation0:
% 1.33/1.71 0 ==> 0
% 1.33/1.71 1 ==> 1
% 1.33/1.71 2 ==> 2
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 resolution: (1075) {G1,W15,D3,L3,V1,M3} { ! distinct_points( X, skol2 ), !
% 1.33/1.71 distinct_lines( line_connecting( skol3, skol2 ), line_connecting( X,
% 1.33/1.71 skol2 ) ), apart_point_and_line( skol1, line_connecting( X, skol2 ) ) }.
% 1.33/1.71 parent0[1]: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.33/1.71 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.33/1.71 parent1[2]: (583) {G3,W11,D3,L3,V1,M1} S(572);r(101) { ! distinct_lines(
% 1.33/1.71 line_connecting( skol3, skol2 ), X ), apart_point_and_line( skol1, X ),
% 1.33/1.71 apart_point_and_line( skol2, X ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := X
% 1.33/1.71 Y := skol2
% 1.33/1.71 end
% 1.33/1.71 substitution1:
% 1.33/1.71 X := line_connecting( X, skol2 )
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 subsumption: (589) {G4,W15,D3,L3,V1,M1} R(583,7) { ! distinct_lines(
% 1.33/1.71 line_connecting( skol3, skol2 ), line_connecting( X, skol2 ) ), !
% 1.33/1.71 distinct_points( X, skol2 ), apart_point_and_line( skol1, line_connecting
% 1.33/1.71 ( X, skol2 ) ) }.
% 1.33/1.71 parent0: (1075) {G1,W15,D3,L3,V1,M3} { ! distinct_points( X, skol2 ), !
% 1.33/1.71 distinct_lines( line_connecting( skol3, skol2 ), line_connecting( X,
% 1.33/1.71 skol2 ) ), apart_point_and_line( skol1, line_connecting( X, skol2 ) ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := X
% 1.33/1.71 end
% 1.33/1.71 permutation0:
% 1.33/1.71 0 ==> 1
% 1.33/1.71 1 ==> 0
% 1.33/1.71 2 ==> 2
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 resolution: (1076) {G3,W11,D3,L3,V1,M3} { ! distinct_lines( X,
% 1.33/1.71 line_connecting( skol3, skol2 ) ), apart_point_and_line( skol1, X ),
% 1.33/1.71 apart_point_and_line( skol3, X ) }.
% 1.33/1.71 parent0[0]: (457) {G3,W14,D3,L4,V1,M1} R(53,16);r(100) { ! distinct_points
% 1.33/1.71 ( skol3, skol2 ), ! distinct_lines( X, line_connecting( skol3, skol2 ) )
% 1.33/1.71 , apart_point_and_line( skol1, X ), apart_point_and_line( skol3, X ) }.
% 1.33/1.71 parent1[0]: (101) {G2,W3,D2,L1,V0,M1} R(97,7);r(14) { distinct_points(
% 1.33/1.71 skol3, skol2 ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := X
% 1.33/1.71 end
% 1.33/1.71 substitution1:
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 subsumption: (604) {G4,W11,D3,L3,V1,M1} S(457);r(101) { ! distinct_lines( X
% 1.33/1.71 , line_connecting( skol3, skol2 ) ), apart_point_and_line( skol1, X ),
% 1.33/1.71 apart_point_and_line( skol3, X ) }.
% 1.33/1.71 parent0: (1076) {G3,W11,D3,L3,V1,M3} { ! distinct_lines( X,
% 1.33/1.71 line_connecting( skol3, skol2 ) ), apart_point_and_line( skol1, X ),
% 1.33/1.71 apart_point_and_line( skol3, X ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := X
% 1.33/1.71 end
% 1.33/1.71 permutation0:
% 1.33/1.71 0 ==> 0
% 1.33/1.71 1 ==> 1
% 1.33/1.71 2 ==> 2
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 resolution: (1078) {G1,W15,D3,L3,V1,M3} { ! distinct_points( skol3, X ), !
% 1.33/1.71 distinct_lines( line_connecting( skol3, X ), line_connecting( skol3,
% 1.33/1.71 skol2 ) ), apart_point_and_line( skol1, line_connecting( skol3, X ) ) }.
% 1.33/1.71 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.33/1.71 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.33/1.71 parent1[2]: (604) {G4,W11,D3,L3,V1,M1} S(457);r(101) { ! distinct_lines( X
% 1.33/1.71 , line_connecting( skol3, skol2 ) ), apart_point_and_line( skol1, X ),
% 1.33/1.71 apart_point_and_line( skol3, X ) }.
% 1.33/1.71 substitution0:
% 1.33/1.71 X := skol3
% 1.33/1.71 Y := X
% 1.33/1.71 end
% 1.33/1.71 substitution1:
% 1.33/1.71 X := line_connecting( skol3, X )
% 1.33/1.71 end
% 1.33/1.71
% 1.33/1.71 subsumption: (609) {G5,W15,D3,L3,V1,M1} R(604,6) { ! distinct_lines(
% 1.33/1.71 line_connecting( skol3, X ), line_connecting( skol3, skol2 ) ), !
% 1.33/1.71 distinct_points( skol3, X ), apart_point_and_line( skol1, line_connecting
% 1.33/1.71 ( skol3, X ) ) }.
% 1.33/1.71 parent0: (1078) {G1,W15,D3,L3,V1,M3} { ! distinct_points( skol3, X ), !
% 1.33/1.72 distinct_lines( line_connecting( skol3, X ), line_connecting( skol3,
% 1.33/1.72 skol2 ) ), apart_point_and_line( skol1, line_connecting( skol3, X ) ) }.
% 1.33/1.72 substitution0:
% 1.33/1.72 X := X
% 1.33/1.72 end
% 1.33/1.72 permutation0:
% 1.33/1.72 0 ==> 1
% 1.33/1.72 1 ==> 0
% 1.33/1.72 2 ==> 2
% 1.33/1.72 end
% 1.33/1.72
% 1.33/1.72 resolution: (1079) {G1,W13,D3,L3,V0,M3} { ! distinct_points( skol3, skol1
% 1.33/1.72 ), ! distinct_lines( line_connecting( skol3, skol1 ), line_connecting(
% 1.33/1.72 skol3, skol2 ) ), ! distinct_points( skol3, skol1 ) }.
% 1.33/1.72 parent0[1]: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.33/1.72 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.33/1.72 parent1[2]: (609) {G5,W15,D3,L3,V1,M1} R(604,6) { ! distinct_lines(
% 1.33/1.72 line_connecting( skol3, X ), line_connecting( skol3, skol2 ) ), !
% 1.33/1.72 distinct_points( skol3, X ), apart_point_and_line( skol1, line_connecting
% 1.33/1.72 ( skol3, X ) ) }.
% 1.33/1.72 substitution0:
% 1.33/1.72 X := skol3
% 1.33/1.72 Y := skol1
% 1.33/1.72 end
% 1.33/1.72 substitution1:
% 1.33/1.72 X := skol1
% 1.33/1.72 end
% 1.33/1.72
% 1.33/1.72 factor: (1080) {G1,W10,D3,L2,V0,M2} { ! distinct_points( skol3, skol1 ), !
% 1.33/1.72 distinct_lines( line_connecting( skol3, skol1 ), line_connecting( skol3
% 1.33/1.72 , skol2 ) ) }.
% 1.33/1.72 parent0[0, 2]: (1079) {G1,W13,D3,L3,V0,M3} { ! distinct_points( skol3,
% 1.33/1.72 skol1 ), ! distinct_lines( line_connecting( skol3, skol1 ),
% 1.33/1.72 line_connecting( skol3, skol2 ) ), ! distinct_points( skol3, skol1 ) }.
% 1.33/1.72 substitution0:
% 1.33/1.72 end
% 1.33/1.72
% 1.33/1.72 resolution: (1082) {G2,W7,D3,L1,V0,M1} { ! distinct_lines( line_connecting
% 1.33/1.72 ( skol3, skol1 ), line_connecting( skol3, skol2 ) ) }.
% 1.33/1.72 parent0[0]: (1080) {G1,W10,D3,L2,V0,M2} { ! distinct_points( skol3, skol1
% 1.33/1.72 ), ! distinct_lines( line_connecting( skol3, skol1 ), line_connecting(
% 1.33/1.72 skol3, skol2 ) ) }.
% 1.33/1.72 parent1[0]: (100) {G2,W3,D2,L1,V0,M1} R(97,6);r(14) { distinct_points(
% 1.33/1.72 skol3, skol1 ) }.
% 1.33/1.72 substitution0:
% 1.33/1.72 end
% 1.33/1.72 substitution1:
% 1.33/1.72 end
% 1.33/1.72
% 1.33/1.72 subsumption: (613) {G6,W7,D3,L1,V0,M1} R(609,7);f;r(100) { ! distinct_lines
% 1.33/1.72 ( line_connecting( skol3, skol1 ), line_connecting( skol3, skol2 ) ) }.
% 1.33/1.72 parent0: (1082) {G2,W7,D3,L1,V0,M1} { ! distinct_lines( line_connecting(
% 1.33/1.72 skol3, skol1 ), line_connecting( skol3, skol2 ) ) }.
% 1.33/1.72 substitution0:
% 1.33/1.72 end
% 1.33/1.72 permutation0:
% 1.33/1.72 0 ==> 0
% 1.33/1.72 end
% 1.33/1.72
% 1.33/1.72 resolution: (1083) {G4,W10,D3,L2,V0,M2} { ! distinct_points( skol3, skol1
% 1.33/1.72 ), distinct_lines( line_connecting( skol3, skol2 ), line_connecting(
% 1.33/1.72 skol1, skol2 ) ) }.
% 1.33/1.72 parent0[0]: (613) {G6,W7,D3,L1,V0,M1} R(609,7);f;r(100) { ! distinct_lines
% 1.33/1.72 ( line_connecting( skol3, skol1 ), line_connecting( skol3, skol2 ) ) }.
% 1.33/1.72 parent1[2]: (290) {G3,W13,D3,L3,V2,M2} R(174,29) { ! distinct_points( skol3
% 1.33/1.72 , X ), distinct_lines( Y, line_connecting( skol1, skol2 ) ),
% 1.33/1.72 distinct_lines( line_connecting( skol3, X ), Y ) }.
% 1.33/1.72 substitution0:
% 1.33/1.72 end
% 1.33/1.72 substitution1:
% 1.33/1.72 X := skol1
% 1.33/1.72 Y := line_connecting( skol3, skol2 )
% 1.33/1.72 end
% 1.33/1.72
% 1.33/1.72 resolution: (1084) {G3,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 1.33/1.72 skol3, skol2 ), line_connecting( skol1, skol2 ) ) }.
% 1.33/1.72 parent0[0]: (1083) {G4,W10,D3,L2,V0,M2} { ! distinct_points( skol3, skol1
% 1.33/1.72 ), distinct_lines( line_connecting( skol3, skol2 ), line_connecting(
% 1.33/1.72 skol1, skol2 ) ) }.
% 1.33/1.72 parent1[0]: (100) {G2,W3,D2,L1,V0,M1} R(97,6);r(14) { distinct_points(
% 1.33/1.72 skol3, skol1 ) }.
% 1.33/1.72 substitution0:
% 1.33/1.72 end
% 1.33/1.72 substitution1:
% 1.33/1.72 end
% 1.33/1.72
% 1.33/1.72 subsumption: (615) {G7,W7,D3,L1,V0,M1} R(613,290);r(100) { distinct_lines(
% 1.33/1.72 line_connecting( skol3, skol2 ), line_connecting( skol1, skol2 ) ) }.
% 1.33/1.72 parent0: (1084) {G3,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 1.33/1.72 skol3, skol2 ), line_connecting( skol1, skol2 ) ) }.
% 1.33/1.72 substitution0:
% 1.33/1.72 end
% 1.33/1.72 permutation0:
% 1.33/1.72 0 ==> 0
% 1.33/1.72 end
% 1.33/1.72
% 1.33/1.72 resolution: (1085) {G1,W13,D3,L3,V0,M3} { ! distinct_points( skol1, skol2
% 1.33/1.72 ), ! distinct_lines( line_connecting( skol3, skol2 ), line_connecting(
% 1.33/1.72 skol1, skol2 ) ), ! distinct_points( skol1, skol2 ) }.
% 1.33/1.72 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.33/1.72 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.33/1.72 parent1[2]: (589) {G4,W15,D3,L3,V1,M1} R(583,7) { ! distinct_lines(
% 1.33/1.72 line_connecting( skol3, skol2 ), line_connecting( X, skol2 ) ), !
% 1.33/1.72 distinct_points( X, skol2 ), apart_point_and_line( skol1, line_connecting
% 1.33/1.72 ( X, skol2 ) ) }.
% 1.33/1.72 substitution0:
% 1.33/1.72 X := skol1
% 1.33/1.72 Y := skol2
% 1.33/1.72 end
% 1.33/1.72 substitution1:
% 1.33/1.72 X := skol1
% 1.33/1.72 end
% 1.33/1.72
% 1.33/1.72 resolution: (1087) {G2,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 1.33/1.72 , ! distinct_points( skol1, skol2 ) }.
% 1.33/1.72 parent0[1]: (1085) {G1,W13,D3,L3,V0,M3} { ! distinct_points( skol1, skol2
% 1.33/1.72 ), ! distinct_lines( line_connecting( skol3, skol2 ), line_connecting(
% 1.33/1.72 skol1, skol2 ) ), ! distinct_points( skol1, skol2 ) }.
% 1.33/1.72 parent1[0]: (615) {G7,W7,D3,L1,V0,M1} R(613,290);r(100) { distinct_lines(
% 1.33/1.72 line_connecting( skol3, skol2 ), line_connecting( skol1, skol2 ) ) }.
% 1.33/1.72 substitution0:
% 1.33/1.72 end
% 1.33/1.72 substitution1:
% 1.33/1.72 end
% 1.33/1.72
% 1.33/1.72 factor: (1088) {G2,W3,D2,L1,V0,M1} { ! distinct_points( skol1, skol2 ) }.
% 1.33/1.72 parent0[0, 1]: (1087) {G2,W6,D2,L2,V0,M2} { ! distinct_points( skol1,
% 1.33/1.72 skol2 ), ! distinct_points( skol1, skol2 ) }.
% 1.33/1.72 substitution0:
% 1.33/1.72 end
% 1.33/1.72
% 1.33/1.72 subsumption: (932) {G8,W3,D2,L1,V0,M1} R(589,6);f;r(615) { !
% 1.33/1.72 distinct_points( skol1, skol2 ) }.
% 1.33/1.72 parent0: (1088) {G2,W3,D2,L1,V0,M1} { ! distinct_points( skol1, skol2 )
% 1.33/1.72 }.
% 1.33/1.72 substitution0:
% 1.33/1.72 end
% 1.33/1.72 permutation0:
% 1.33/1.72 0 ==> 0
% 1.33/1.72 end
% 1.33/1.72
% 1.33/1.72 resolution: (1089) {G1,W0,D0,L0,V0,M0} { }.
% 1.33/1.72 parent0[0]: (932) {G8,W3,D2,L1,V0,M1} R(589,6);f;r(615) { ! distinct_points
% 1.33/1.72 ( skol1, skol2 ) }.
% 1.33/1.72 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.33/1.72 }.
% 1.33/1.72 substitution0:
% 1.33/1.72 end
% 1.33/1.72 substitution1:
% 1.33/1.72 end
% 1.33/1.72
% 1.33/1.72 subsumption: (933) {G9,W0,D0,L0,V0,M0} S(932);r(14) { }.
% 1.33/1.72 parent0: (1089) {G1,W0,D0,L0,V0,M0} { }.
% 1.33/1.72 substitution0:
% 1.33/1.72 end
% 1.33/1.72 permutation0:
% 1.33/1.72 end
% 1.33/1.72
% 1.33/1.72 Proof check complete!
% 1.33/1.72
% 1.33/1.72 Memory use:
% 1.33/1.72
% 1.33/1.72 space for terms: 13180
% 1.33/1.72 space for clauses: 36556
% 1.33/1.72
% 1.33/1.72
% 1.33/1.72 clauses generated: 78915
% 1.33/1.72 clauses kept: 934
% 1.33/1.72 clauses selected: 656
% 1.33/1.72 clauses deleted: 6
% 1.33/1.72 clauses inuse deleted: 0
% 1.33/1.72
% 1.33/1.72 subsentry: 97088
% 1.33/1.72 literals s-matched: 69906
% 1.33/1.72 literals matched: 69815
% 1.33/1.72 full subsumption: 55350
% 1.33/1.72
% 1.33/1.72 checksum: -52252068
% 1.33/1.72
% 1.33/1.72
% 1.33/1.72 Bliksem ended
%------------------------------------------------------------------------------