TSTP Solution File: GEO181+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO181+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 02:52:21 EDT 2022
% Result : Theorem 1.36s 1.73s
% Output : Refutation 1.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO181+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Sat Jun 18 12:43:09 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.36/1.73 *** allocated 10000 integers for termspace/termends
% 1.36/1.73 *** allocated 10000 integers for clauses
% 1.36/1.73 *** allocated 10000 integers for justifications
% 1.36/1.73 Bliksem 1.12
% 1.36/1.73
% 1.36/1.73
% 1.36/1.73 Automatic Strategy Selection
% 1.36/1.73
% 1.36/1.73
% 1.36/1.73 Clauses:
% 1.36/1.73
% 1.36/1.73 { ! distinct_points( X, X ) }.
% 1.36/1.73 { ! distinct_lines( X, X ) }.
% 1.36/1.73 { ! convergent_lines( X, X ) }.
% 1.36/1.73 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 1.36/1.73 ) }.
% 1.36/1.73 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 1.36/1.73 }.
% 1.36/1.73 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 1.36/1.73 , Z ) }.
% 1.36/1.73 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 1.36/1.73 , Y ) ) }.
% 1.36/1.73 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 1.36/1.73 , Y ) ) }.
% 1.36/1.73 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 1.36/1.73 , Y ), X ) }.
% 1.36/1.73 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 1.36/1.73 , Y ), Y ) }.
% 1.36/1.73 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 1.36/1.73 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.36/1.73 apart_point_and_line( Y, T ) }.
% 1.36/1.73 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 1.36/1.73 apart_point_and_line( Z, Y ) }.
% 1.36/1.73 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 1.36/1.73 apart_point_and_line( X, Z ) }.
% 1.36/1.73 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 1.36/1.73 Z ) }.
% 1.36/1.73 { distinct_points( skol1, skol2 ) }.
% 1.36/1.73 { apart_point_and_line( skol3, line_connecting( skol1, skol2 ) ) }.
% 1.36/1.73 { ! apart_point_and_line( skol2, line_connecting( skol1, skol3 ) ) }.
% 1.36/1.73
% 1.36/1.73 percentage equality = 0.000000, percentage horn = 0.588235
% 1.36/1.73 This a non-horn, non-equality problem
% 1.36/1.73
% 1.36/1.73
% 1.36/1.73 Options Used:
% 1.36/1.73
% 1.36/1.73 useres = 1
% 1.36/1.73 useparamod = 0
% 1.36/1.73 useeqrefl = 0
% 1.36/1.73 useeqfact = 0
% 1.36/1.73 usefactor = 1
% 1.36/1.73 usesimpsplitting = 0
% 1.36/1.73 usesimpdemod = 0
% 1.36/1.73 usesimpres = 3
% 1.36/1.73
% 1.36/1.73 resimpinuse = 1000
% 1.36/1.73 resimpclauses = 20000
% 1.36/1.73 substype = standard
% 1.36/1.73 backwardsubs = 1
% 1.36/1.73 selectoldest = 5
% 1.36/1.73
% 1.36/1.73 litorderings [0] = split
% 1.36/1.73 litorderings [1] = liftord
% 1.36/1.73
% 1.36/1.73 termordering = none
% 1.36/1.73
% 1.36/1.73 litapriori = 1
% 1.36/1.73 termapriori = 0
% 1.36/1.73 litaposteriori = 0
% 1.36/1.73 termaposteriori = 0
% 1.36/1.73 demodaposteriori = 0
% 1.36/1.73 ordereqreflfact = 0
% 1.36/1.73
% 1.36/1.73 litselect = none
% 1.36/1.73
% 1.36/1.73 maxweight = 15
% 1.36/1.73 maxdepth = 30000
% 1.36/1.73 maxlength = 115
% 1.36/1.73 maxnrvars = 195
% 1.36/1.73 excuselevel = 1
% 1.36/1.73 increasemaxweight = 1
% 1.36/1.73
% 1.36/1.73 maxselected = 10000000
% 1.36/1.73 maxnrclauses = 10000000
% 1.36/1.73
% 1.36/1.73 showgenerated = 0
% 1.36/1.73 showkept = 0
% 1.36/1.73 showselected = 0
% 1.36/1.73 showdeleted = 0
% 1.36/1.73 showresimp = 1
% 1.36/1.73 showstatus = 2000
% 1.36/1.73
% 1.36/1.73 prologoutput = 0
% 1.36/1.73 nrgoals = 5000000
% 1.36/1.73 totalproof = 1
% 1.36/1.73
% 1.36/1.73 Symbols occurring in the translation:
% 1.36/1.73
% 1.36/1.73 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.36/1.73 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 1.36/1.73 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 1.36/1.73 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.36/1.73 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.36/1.73 distinct_points [36, 2] (w:1, o:44, a:1, s:1, b:0),
% 1.36/1.73 distinct_lines [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 1.36/1.73 convergent_lines [38, 2] (w:1, o:43, a:1, s:1, b:0),
% 1.36/1.73 line_connecting [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 1.36/1.73 apart_point_and_line [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 1.36/1.73 intersection_point [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 1.36/1.73 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.36/1.73 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.36/1.73 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0).
% 1.36/1.73
% 1.36/1.73
% 1.36/1.73 Starting Search:
% 1.36/1.73
% 1.36/1.73 *** allocated 15000 integers for clauses
% 1.36/1.73 *** allocated 22500 integers for clauses
% 1.36/1.73 *** allocated 33750 integers for clauses
% 1.36/1.73 *** allocated 15000 integers for termspace/termends
% 1.36/1.73
% 1.36/1.73 Bliksems!, er is een bewijs:
% 1.36/1.73 % SZS status Theorem
% 1.36/1.73 % SZS output start Refutation
% 1.36/1.73
% 1.36/1.73 (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.36/1.73 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 1.36/1.73 (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 1.36/1.73 ), ! distinct_points( X, Y ) }.
% 1.36/1.73 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 1.36/1.73 , ! distinct_lines( X, Y ) }.
% 1.36/1.73 (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.36/1.73 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.36/1.73 (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.36/1.73 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.36/1.73 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 1.36/1.73 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.36/1.73 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 1.36/1.73 (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ), apart_point_and_line
% 1.36/1.73 ( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.36/1.73 (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ), apart_point_and_line(
% 1.36/1.73 X, Z ), ! apart_point_and_line( X, Y ) }.
% 1.36/1.73 (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 ) }.
% 1.36/1.73 (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol3, line_connecting(
% 1.36/1.73 skol1, skol2 ) ) }.
% 1.36/1.73 (16) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol2, line_connecting
% 1.36/1.73 ( skol1, skol3 ) ) }.
% 1.36/1.73 (20) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 1.36/1.73 distinct_points( X, Y ) }.
% 1.36/1.73 (23) {G2,W3,D2,L1,V0,M1} R(20,14) { distinct_points( skol2, skol1 ) }.
% 1.36/1.73 (28) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 1.36/1.73 ( X, Y ) }.
% 1.36/1.73 (29) {G2,W9,D2,L3,V3,M3} R(28,4) { distinct_lines( Z, X ), ! distinct_lines
% 1.36/1.73 ( Y, Z ), distinct_lines( X, Y ) }.
% 1.36/1.73 (30) {G2,W9,D2,L3,V3,M3} R(28,4) { distinct_lines( Z, X ), ! distinct_lines
% 1.36/1.73 ( Z, Y ), distinct_lines( X, Y ) }.
% 1.36/1.73 (49) {G3,W9,D2,L3,V3,M3} R(29,28) { distinct_lines( Z, X ), distinct_lines
% 1.36/1.73 ( Z, Y ), ! distinct_lines( X, Y ) }.
% 1.36/1.73 (53) {G1,W22,D3,L6,V4,M3} R(10,6) { ! distinct_points( X, Y ), !
% 1.36/1.73 distinct_lines( Z, line_connecting( X, T ) ), ! distinct_points( X, T ),
% 1.36/1.73 apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ),
% 1.36/1.73 apart_point_and_line( Y, line_connecting( X, T ) ) }.
% 1.36/1.73 (58) {G1,W22,D3,L6,V4,M3} R(10,7) { ! distinct_points( X, Y ), !
% 1.36/1.73 distinct_lines( line_connecting( Z, Y ), T ), ! distinct_points( Z, Y ),
% 1.36/1.73 apart_point_and_line( X, line_connecting( Z, Y ) ), apart_point_and_line
% 1.36/1.73 ( X, T ), apart_point_and_line( Y, T ) }.
% 1.36/1.73 (74) {G2,W14,D3,L4,V3,M2} F(58);r(6) { ! distinct_points( X, Y ), !
% 1.36/1.73 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( Y, Z
% 1.36/1.73 ), apart_point_and_line( X, Z ) }.
% 1.36/1.73 (97) {G1,W8,D3,L2,V1,M1} R(11,15) { distinct_points( skol3, X ),
% 1.36/1.73 apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 1.36/1.73 (100) {G2,W3,D2,L1,V0,M1} R(97,6);r(14) { distinct_points( skol3, skol1 )
% 1.36/1.73 }.
% 1.36/1.73 (106) {G3,W3,D2,L1,V0,M1} R(100,20) { distinct_points( skol1, skol3 ) }.
% 1.36/1.73 (124) {G1,W8,D3,L2,V1,M1} R(12,15) { distinct_lines( line_connecting( skol1
% 1.36/1.73 , skol2 ), X ), apart_point_and_line( skol3, X ) }.
% 1.36/1.73 (175) {G2,W10,D3,L2,V1,M1} R(124,7) { ! distinct_points( X, skol3 ),
% 1.36/1.73 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( X,
% 1.36/1.73 skol3 ) ) }.
% 1.36/1.73 (304) {G4,W13,D3,L3,V2,M1} R(175,49) { ! distinct_points( X, skol3 ),
% 1.36/1.73 distinct_lines( Y, line_connecting( skol1, skol2 ) ), distinct_lines( Y,
% 1.36/1.73 line_connecting( X, skol3 ) ) }.
% 1.36/1.73 (457) {G2,W14,D3,L4,V1,M1} R(53,16);r(14) { ! distinct_points( skol1, skol3
% 1.36/1.73 ), ! distinct_lines( X, line_connecting( skol1, skol3 ) ),
% 1.36/1.73 apart_point_and_line( skol1, X ), apart_point_and_line( skol2, X ) }.
% 1.36/1.73 (581) {G3,W15,D3,L3,V1,M1} R(74,16) { ! distinct_points( X, skol2 ), !
% 1.36/1.73 distinct_lines( line_connecting( X, skol2 ), line_connecting( skol1,
% 1.36/1.73 skol3 ) ), apart_point_and_line( X, line_connecting( skol1, skol3 ) ) }.
% 1.36/1.73 (604) {G4,W11,D3,L3,V1,M1} S(457);r(106) { ! distinct_lines( X,
% 1.36/1.73 line_connecting( skol1, skol3 ) ), apart_point_and_line( skol1, X ),
% 1.36/1.73 apart_point_and_line( skol2, X ) }.
% 1.36/1.73 (609) {G5,W15,D3,L3,V1,M1} R(604,6) { ! distinct_lines( line_connecting(
% 1.36/1.73 skol2, X ), line_connecting( skol1, skol3 ) ), ! distinct_points( skol2,
% 1.36/1.73 X ), apart_point_and_line( skol1, line_connecting( skol2, X ) ) }.
% 1.36/1.73 (613) {G6,W7,D3,L1,V0,M1} R(609,7);f;r(23) { ! distinct_lines(
% 1.36/1.73 line_connecting( skol2, skol1 ), line_connecting( skol1, skol3 ) ) }.
% 1.36/1.73 (614) {G7,W7,D3,L1,V0,M1} R(613,304);r(106) { distinct_lines(
% 1.36/1.73 line_connecting( skol2, skol1 ), line_connecting( skol1, skol2 ) ) }.
% 1.36/1.73 (667) {G8,W10,D3,L2,V1,M2} R(614,30) { distinct_lines( X, line_connecting(
% 1.36/1.73 skol1, skol2 ) ), distinct_lines( line_connecting( skol2, skol1 ), X )
% 1.36/1.73 }.
% 1.36/1.73 (671) {G9,W7,D3,L1,V0,M1} R(667,613) { distinct_lines( line_connecting(
% 1.36/1.73 skol1, skol3 ), line_connecting( skol1, skol2 ) ) }.
% 1.36/1.73 (683) {G10,W7,D3,L1,V0,M1} R(671,28) { distinct_lines( line_connecting(
% 1.36/1.73 skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 1.36/1.73 (788) {G4,W10,D3,L2,V0,M1} R(581,6);r(14) { ! distinct_points( skol1, skol3
% 1.36/1.73 ), ! distinct_lines( line_connecting( skol1, skol2 ), line_connecting(
% 1.36/1.73 skol1, skol3 ) ) }.
% 1.36/1.73 (790) {G11,W0,D0,L0,V0,M0} S(788);r(106);r(683) { }.
% 1.36/1.73
% 1.36/1.73
% 1.36/1.73 % SZS output end Refutation
% 1.36/1.73 found a proof!
% 1.36/1.73
% 1.36/1.73
% 1.36/1.73 Unprocessed initial clauses:
% 1.36/1.73
% 1.36/1.73 (792) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 1.36/1.73 (793) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 1.36/1.73 (794) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 1.36/1.73 (795) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 1.36/1.73 , Z ), distinct_points( Y, Z ) }.
% 1.36/1.73 (796) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 1.36/1.73 ), distinct_lines( Y, Z ) }.
% 1.36/1.73 (797) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines(
% 1.36/1.73 X, Z ), convergent_lines( Y, Z ) }.
% 1.36/1.73 (798) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.36/1.73 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.36/1.73 (799) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.36/1.73 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.36/1.73 (800) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 1.36/1.73 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 1.36/1.73 (801) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 1.36/1.73 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 1.36/1.73 (802) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines(
% 1.36/1.73 Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 1.36/1.73 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 1.36/1.73 (803) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.36/1.73 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 1.36/1.73 (804) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ), distinct_lines
% 1.36/1.73 ( Y, Z ), apart_point_and_line( X, Z ) }.
% 1.36/1.73 (805) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines( Y
% 1.36/1.73 , Z ), convergent_lines( X, Z ) }.
% 1.36/1.73 (806) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 1.36/1.73 (807) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( skol3, line_connecting(
% 1.36/1.73 skol1, skol2 ) ) }.
% 1.36/1.73 (808) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( skol2, line_connecting
% 1.36/1.73 ( skol1, skol3 ) ) }.
% 1.36/1.73
% 1.36/1.73
% 1.36/1.73 Total Proof:
% 1.36/1.73
% 1.36/1.73 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.36/1.73 parent0: (792) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 0
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 1.36/1.73 parent0: (793) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 0
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 1.36/1.73 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 1.36/1.73 parent0: (795) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ),
% 1.36/1.73 distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 Y := Y
% 1.36/1.73 Z := Z
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 2
% 1.36/1.73 1 ==> 0
% 1.36/1.73 2 ==> 1
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 1.36/1.73 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 1.36/1.73 parent0: (796) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 1.36/1.73 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 Y := Y
% 1.36/1.73 Z := Z
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 2
% 1.36/1.73 1 ==> 0
% 1.36/1.73 2 ==> 1
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.36/1.73 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.36/1.73 parent0: (798) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.36/1.73 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 Y := Y
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 0
% 1.36/1.73 1 ==> 1
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.36/1.73 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.36/1.73 parent0: (799) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.36/1.73 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 Y := Y
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 0
% 1.36/1.73 1 ==> 1
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 1.36/1.73 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 1.36/1.73 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 1.36/1.73 apart_point_and_line( X, Z ) }.
% 1.36/1.73 parent0: (802) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 1.36/1.73 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 1.36/1.73 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.36/1.73 apart_point_and_line( Y, T ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 Y := Y
% 1.36/1.73 Z := Z
% 1.36/1.73 T := T
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 0
% 1.36/1.73 1 ==> 1
% 1.36/1.73 2 ==> 5
% 1.36/1.73 3 ==> 2
% 1.36/1.73 4 ==> 3
% 1.36/1.73 5 ==> 4
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 1.36/1.73 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.36/1.73 parent0: (803) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.36/1.73 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 Y := Y
% 1.36/1.73 Z := Z
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 2
% 1.36/1.73 1 ==> 0
% 1.36/1.73 2 ==> 1
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 1.36/1.73 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 1.36/1.73 parent0: (804) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.36/1.73 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 Y := Y
% 1.36/1.73 Z := Z
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 2
% 1.36/1.73 1 ==> 0
% 1.36/1.73 2 ==> 1
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.36/1.73 }.
% 1.36/1.73 parent0: (806) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 0
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol3,
% 1.36/1.73 line_connecting( skol1, skol2 ) ) }.
% 1.36/1.73 parent0: (807) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( skol3,
% 1.36/1.73 line_connecting( skol1, skol2 ) ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 0
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (16) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol2,
% 1.36/1.73 line_connecting( skol1, skol3 ) ) }.
% 1.36/1.73 parent0: (808) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( skol2,
% 1.36/1.73 line_connecting( skol1, skol3 ) ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 0
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (872) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 1.36/1.73 distinct_points( X, Y ) }.
% 1.36/1.73 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 1.36/1.73 parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 1.36/1.73 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 X := X
% 1.36/1.73 Y := Y
% 1.36/1.73 Z := X
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (20) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 1.36/1.73 distinct_points( X, Y ) }.
% 1.36/1.73 parent0: (872) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 1.36/1.73 distinct_points( X, Y ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := Y
% 1.36/1.73 Y := X
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 1
% 1.36/1.73 1 ==> 0
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (874) {G1,W3,D2,L1,V0,M1} { distinct_points( skol2, skol1 )
% 1.36/1.73 }.
% 1.36/1.73 parent0[0]: (20) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 1.36/1.73 distinct_points( X, Y ) }.
% 1.36/1.73 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.36/1.73 }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := skol2
% 1.36/1.73 Y := skol1
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (23) {G2,W3,D2,L1,V0,M1} R(20,14) { distinct_points( skol2,
% 1.36/1.73 skol1 ) }.
% 1.36/1.73 parent0: (874) {G1,W3,D2,L1,V0,M1} { distinct_points( skol2, skol1 ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 0
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (875) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 1.36/1.73 distinct_lines( X, Y ) }.
% 1.36/1.73 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 1.36/1.73 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 1.36/1.73 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 X := X
% 1.36/1.73 Y := Y
% 1.36/1.73 Z := X
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (28) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 1.36/1.73 distinct_lines( X, Y ) }.
% 1.36/1.73 parent0: (875) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 1.36/1.73 distinct_lines( X, Y ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := Y
% 1.36/1.73 Y := X
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 1
% 1.36/1.73 1 ==> 0
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (877) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ),
% 1.36/1.73 distinct_lines( Z, Y ), ! distinct_lines( X, Z ) }.
% 1.36/1.73 parent0[0]: (28) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 1.36/1.73 distinct_lines( X, Y ) }.
% 1.36/1.73 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 1.36/1.73 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := Y
% 1.36/1.73 Y := X
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 X := X
% 1.36/1.73 Y := Z
% 1.36/1.73 Z := Y
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (29) {G2,W9,D2,L3,V3,M3} R(28,4) { distinct_lines( Z, X ), !
% 1.36/1.73 distinct_lines( Y, Z ), distinct_lines( X, Y ) }.
% 1.36/1.73 parent0: (877) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ),
% 1.36/1.73 distinct_lines( Z, Y ), ! distinct_lines( X, Z ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := Y
% 1.36/1.73 Y := X
% 1.36/1.73 Z := Z
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 2
% 1.36/1.73 1 ==> 0
% 1.36/1.73 2 ==> 1
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (881) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ),
% 1.36/1.73 distinct_lines( Z, Y ), ! distinct_lines( Z, X ) }.
% 1.36/1.73 parent0[0]: (28) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 1.36/1.73 distinct_lines( X, Y ) }.
% 1.36/1.73 parent1[1]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 1.36/1.73 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := Y
% 1.36/1.73 Y := X
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 X := Z
% 1.36/1.73 Y := X
% 1.36/1.73 Z := Y
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (30) {G2,W9,D2,L3,V3,M3} R(28,4) { distinct_lines( Z, X ), !
% 1.36/1.73 distinct_lines( Z, Y ), distinct_lines( X, Y ) }.
% 1.36/1.73 parent0: (881) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ),
% 1.36/1.73 distinct_lines( Z, Y ), ! distinct_lines( Z, X ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := Y
% 1.36/1.73 Y := X
% 1.36/1.73 Z := Z
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 2
% 1.36/1.73 1 ==> 0
% 1.36/1.73 2 ==> 1
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (885) {G2,W9,D2,L3,V3,M3} { distinct_lines( Y, X ), !
% 1.36/1.73 distinct_lines( Z, X ), distinct_lines( Y, Z ) }.
% 1.36/1.73 parent0[0]: (28) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 1.36/1.73 distinct_lines( X, Y ) }.
% 1.36/1.73 parent1[0]: (29) {G2,W9,D2,L3,V3,M3} R(28,4) { distinct_lines( Z, X ), !
% 1.36/1.73 distinct_lines( Y, Z ), distinct_lines( X, Y ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := Y
% 1.36/1.73 Y := X
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 X := Y
% 1.36/1.73 Y := Z
% 1.36/1.73 Z := X
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (49) {G3,W9,D2,L3,V3,M3} R(29,28) { distinct_lines( Z, X ),
% 1.36/1.73 distinct_lines( Z, Y ), ! distinct_lines( X, Y ) }.
% 1.36/1.73 parent0: (885) {G2,W9,D2,L3,V3,M3} { distinct_lines( Y, X ), !
% 1.36/1.73 distinct_lines( Z, X ), distinct_lines( Y, Z ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := Y
% 1.36/1.73 Y := Z
% 1.36/1.73 Z := X
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 1
% 1.36/1.73 1 ==> 2
% 1.36/1.73 2 ==> 0
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (889) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 1.36/1.73 distinct_points( X, Z ), ! distinct_lines( T, line_connecting( X, Y ) ),
% 1.36/1.73 apart_point_and_line( Z, T ), apart_point_and_line( Z, line_connecting( X
% 1.36/1.73 , Y ) ), apart_point_and_line( X, T ) }.
% 1.36/1.73 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.36/1.73 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.36/1.73 parent1[2]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 1.36/1.73 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 1.36/1.73 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 1.36/1.73 apart_point_and_line( X, Z ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 Y := Y
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 X := X
% 1.36/1.73 Y := Z
% 1.36/1.73 Z := T
% 1.36/1.73 T := line_connecting( X, Y )
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (53) {G1,W22,D3,L6,V4,M3} R(10,6) { ! distinct_points( X, Y )
% 1.36/1.73 , ! distinct_lines( Z, line_connecting( X, T ) ), ! distinct_points( X, T
% 1.36/1.73 ), apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ),
% 1.36/1.73 apart_point_and_line( Y, line_connecting( X, T ) ) }.
% 1.36/1.73 parent0: (889) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 1.36/1.73 distinct_points( X, Z ), ! distinct_lines( T, line_connecting( X, Y ) ),
% 1.36/1.73 apart_point_and_line( Z, T ), apart_point_and_line( Z, line_connecting( X
% 1.36/1.73 , Y ) ), apart_point_and_line( X, T ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 Y := T
% 1.36/1.73 Z := Y
% 1.36/1.73 T := Z
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 2
% 1.36/1.73 1 ==> 0
% 1.36/1.73 2 ==> 1
% 1.36/1.73 3 ==> 4
% 1.36/1.73 4 ==> 5
% 1.36/1.73 5 ==> 3
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (906) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 1.36/1.73 distinct_points( Z, Y ), ! distinct_lines( line_connecting( X, Y ), T ),
% 1.36/1.73 apart_point_and_line( Z, T ), apart_point_and_line( Y, T ),
% 1.36/1.73 apart_point_and_line( Z, line_connecting( X, Y ) ) }.
% 1.36/1.73 parent0[1]: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.36/1.73 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.36/1.73 parent1[3]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 1.36/1.73 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 1.36/1.73 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 1.36/1.73 apart_point_and_line( X, Z ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 Y := Y
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 X := Z
% 1.36/1.73 Y := Y
% 1.36/1.73 Z := line_connecting( X, Y )
% 1.36/1.73 T := T
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (58) {G1,W22,D3,L6,V4,M3} R(10,7) { ! distinct_points( X, Y )
% 1.36/1.73 , ! distinct_lines( line_connecting( Z, Y ), T ), ! distinct_points( Z, Y
% 1.36/1.73 ), apart_point_and_line( X, line_connecting( Z, Y ) ),
% 1.36/1.73 apart_point_and_line( X, T ), apart_point_and_line( Y, T ) }.
% 1.36/1.73 parent0: (906) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 1.36/1.73 distinct_points( Z, Y ), ! distinct_lines( line_connecting( X, Y ), T ),
% 1.36/1.73 apart_point_and_line( Z, T ), apart_point_and_line( Y, T ),
% 1.36/1.73 apart_point_and_line( Z, line_connecting( X, Y ) ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := Z
% 1.36/1.73 Y := Y
% 1.36/1.73 Z := X
% 1.36/1.73 T := T
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 2
% 1.36/1.73 1 ==> 0
% 1.36/1.73 2 ==> 1
% 1.36/1.73 3 ==> 4
% 1.36/1.73 4 ==> 5
% 1.36/1.73 5 ==> 3
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 *** allocated 50625 integers for clauses
% 1.36/1.73 factor: (921) {G1,W19,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 1.36/1.73 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( X,
% 1.36/1.73 line_connecting( X, Y ) ), apart_point_and_line( X, Z ),
% 1.36/1.73 apart_point_and_line( Y, Z ) }.
% 1.36/1.73 parent0[0, 2]: (58) {G1,W22,D3,L6,V4,M3} R(10,7) { ! distinct_points( X, Y
% 1.36/1.73 ), ! distinct_lines( line_connecting( Z, Y ), T ), ! distinct_points( Z
% 1.36/1.73 , Y ), apart_point_and_line( X, line_connecting( Z, Y ) ),
% 1.36/1.73 apart_point_and_line( X, T ), apart_point_and_line( Y, T ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 Y := Y
% 1.36/1.73 Z := X
% 1.36/1.73 T := Z
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (928) {G1,W17,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 1.36/1.73 distinct_points( X, Y ), ! distinct_lines( line_connecting( X, Y ), Z ),
% 1.36/1.73 apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ) }.
% 1.36/1.73 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.36/1.73 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.36/1.73 parent1[2]: (921) {G1,W19,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 1.36/1.73 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( X,
% 1.36/1.73 line_connecting( X, Y ) ), apart_point_and_line( X, Z ),
% 1.36/1.73 apart_point_and_line( Y, Z ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 Y := Y
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 X := X
% 1.36/1.73 Y := Y
% 1.36/1.73 Z := Z
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 factor: (929) {G1,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 1.36/1.73 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( X, Z
% 1.36/1.73 ), apart_point_and_line( Y, Z ) }.
% 1.36/1.73 parent0[0, 1]: (928) {G1,W17,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 1.36/1.73 distinct_points( X, Y ), ! distinct_lines( line_connecting( X, Y ), Z ),
% 1.36/1.73 apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 Y := Y
% 1.36/1.73 Z := Z
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (74) {G2,W14,D3,L4,V3,M2} F(58);r(6) { ! distinct_points( X, Y
% 1.36/1.73 ), ! distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line
% 1.36/1.73 ( Y, Z ), apart_point_and_line( X, Z ) }.
% 1.36/1.73 parent0: (929) {G1,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 1.36/1.73 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( X, Z
% 1.36/1.73 ), apart_point_and_line( Y, Z ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 Y := Y
% 1.36/1.73 Z := Z
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 0
% 1.36/1.73 1 ==> 1
% 1.36/1.73 2 ==> 3
% 1.36/1.73 3 ==> 2
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (931) {G1,W8,D3,L2,V1,M2} { distinct_points( skol3, X ),
% 1.36/1.73 apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 1.36/1.73 parent0[2]: (11) {G0,W9,D2,L3,V3,M2} I { distinct_points( X, Z ),
% 1.36/1.73 apart_point_and_line( Z, Y ), ! apart_point_and_line( X, Y ) }.
% 1.36/1.73 parent1[0]: (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol3,
% 1.36/1.73 line_connecting( skol1, skol2 ) ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := skol3
% 1.36/1.73 Y := line_connecting( skol1, skol2 )
% 1.36/1.73 Z := X
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (97) {G1,W8,D3,L2,V1,M1} R(11,15) { distinct_points( skol3, X
% 1.36/1.73 ), apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 1.36/1.73 parent0: (931) {G1,W8,D3,L2,V1,M2} { distinct_points( skol3, X ),
% 1.36/1.73 apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 0
% 1.36/1.73 1 ==> 1
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (933) {G1,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 1.36/1.73 , distinct_points( skol3, skol1 ) }.
% 1.36/1.73 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.36/1.73 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.36/1.73 parent1[1]: (97) {G1,W8,D3,L2,V1,M1} R(11,15) { distinct_points( skol3, X )
% 1.36/1.73 , apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := skol1
% 1.36/1.73 Y := skol2
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 X := skol1
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (934) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol1 )
% 1.36/1.73 }.
% 1.36/1.73 parent0[0]: (933) {G1,W6,D2,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 1.36/1.73 , distinct_points( skol3, skol1 ) }.
% 1.36/1.73 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.36/1.73 }.
% 1.36/1.73 substitution0:
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (100) {G2,W3,D2,L1,V0,M1} R(97,6);r(14) { distinct_points(
% 1.36/1.73 skol3, skol1 ) }.
% 1.36/1.73 parent0: (934) {G1,W3,D2,L1,V0,M1} { distinct_points( skol3, skol1 ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 0
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (935) {G2,W3,D2,L1,V0,M1} { distinct_points( skol1, skol3 )
% 1.36/1.73 }.
% 1.36/1.73 parent0[0]: (20) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 1.36/1.73 distinct_points( X, Y ) }.
% 1.36/1.73 parent1[0]: (100) {G2,W3,D2,L1,V0,M1} R(97,6);r(14) { distinct_points(
% 1.36/1.73 skol3, skol1 ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := skol1
% 1.36/1.73 Y := skol3
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (106) {G3,W3,D2,L1,V0,M1} R(100,20) { distinct_points( skol1,
% 1.36/1.73 skol3 ) }.
% 1.36/1.73 parent0: (935) {G2,W3,D2,L1,V0,M1} { distinct_points( skol1, skol3 ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 0
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (936) {G1,W8,D3,L2,V1,M2} { distinct_lines( line_connecting(
% 1.36/1.73 skol1, skol2 ), X ), apart_point_and_line( skol3, X ) }.
% 1.36/1.73 parent0[2]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 1.36/1.73 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 1.36/1.73 parent1[0]: (15) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol3,
% 1.36/1.73 line_connecting( skol1, skol2 ) ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := skol3
% 1.36/1.73 Y := line_connecting( skol1, skol2 )
% 1.36/1.73 Z := X
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (124) {G1,W8,D3,L2,V1,M1} R(12,15) { distinct_lines(
% 1.36/1.73 line_connecting( skol1, skol2 ), X ), apart_point_and_line( skol3, X )
% 1.36/1.73 }.
% 1.36/1.73 parent0: (936) {G1,W8,D3,L2,V1,M2} { distinct_lines( line_connecting(
% 1.36/1.73 skol1, skol2 ), X ), apart_point_and_line( skol3, X ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 0
% 1.36/1.73 1 ==> 1
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (937) {G1,W10,D3,L2,V1,M2} { ! distinct_points( X, skol3 ),
% 1.36/1.73 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( X,
% 1.36/1.73 skol3 ) ) }.
% 1.36/1.73 parent0[1]: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.36/1.73 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.36/1.73 parent1[1]: (124) {G1,W8,D3,L2,V1,M1} R(12,15) { distinct_lines(
% 1.36/1.73 line_connecting( skol1, skol2 ), X ), apart_point_and_line( skol3, X )
% 1.36/1.73 }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 Y := skol3
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 X := line_connecting( X, skol3 )
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (175) {G2,W10,D3,L2,V1,M1} R(124,7) { ! distinct_points( X,
% 1.36/1.73 skol3 ), distinct_lines( line_connecting( skol1, skol2 ), line_connecting
% 1.36/1.73 ( X, skol3 ) ) }.
% 1.36/1.73 parent0: (937) {G1,W10,D3,L2,V1,M2} { ! distinct_points( X, skol3 ),
% 1.36/1.73 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( X,
% 1.36/1.73 skol3 ) ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 0
% 1.36/1.73 1 ==> 1
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (938) {G3,W13,D3,L3,V2,M3} { distinct_lines( X,
% 1.36/1.73 line_connecting( skol1, skol2 ) ), distinct_lines( X, line_connecting( Y
% 1.36/1.73 , skol3 ) ), ! distinct_points( Y, skol3 ) }.
% 1.36/1.73 parent0[2]: (49) {G3,W9,D2,L3,V3,M3} R(29,28) { distinct_lines( Z, X ),
% 1.36/1.73 distinct_lines( Z, Y ), ! distinct_lines( X, Y ) }.
% 1.36/1.73 parent1[1]: (175) {G2,W10,D3,L2,V1,M1} R(124,7) { ! distinct_points( X,
% 1.36/1.73 skol3 ), distinct_lines( line_connecting( skol1, skol2 ), line_connecting
% 1.36/1.73 ( X, skol3 ) ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := line_connecting( skol1, skol2 )
% 1.36/1.73 Y := line_connecting( Y, skol3 )
% 1.36/1.73 Z := X
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 X := Y
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (304) {G4,W13,D3,L3,V2,M1} R(175,49) { ! distinct_points( X,
% 1.36/1.73 skol3 ), distinct_lines( Y, line_connecting( skol1, skol2 ) ),
% 1.36/1.73 distinct_lines( Y, line_connecting( X, skol3 ) ) }.
% 1.36/1.73 parent0: (938) {G3,W13,D3,L3,V2,M3} { distinct_lines( X, line_connecting(
% 1.36/1.73 skol1, skol2 ) ), distinct_lines( X, line_connecting( Y, skol3 ) ), !
% 1.36/1.73 distinct_points( Y, skol3 ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := Y
% 1.36/1.73 Y := X
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 1
% 1.36/1.73 1 ==> 2
% 1.36/1.73 2 ==> 0
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (941) {G1,W17,D3,L5,V1,M5} { ! distinct_points( skol1, skol2 )
% 1.36/1.73 , ! distinct_lines( X, line_connecting( skol1, skol3 ) ), !
% 1.36/1.73 distinct_points( skol1, skol3 ), apart_point_and_line( skol1, X ),
% 1.36/1.73 apart_point_and_line( skol2, X ) }.
% 1.36/1.73 parent0[0]: (16) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol2,
% 1.36/1.73 line_connecting( skol1, skol3 ) ) }.
% 1.36/1.73 parent1[5]: (53) {G1,W22,D3,L6,V4,M3} R(10,6) { ! distinct_points( X, Y ),
% 1.36/1.73 ! distinct_lines( Z, line_connecting( X, T ) ), ! distinct_points( X, T )
% 1.36/1.73 , apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ),
% 1.36/1.73 apart_point_and_line( Y, line_connecting( X, T ) ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 X := skol1
% 1.36/1.73 Y := skol2
% 1.36/1.73 Z := X
% 1.36/1.73 T := skol3
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (944) {G1,W14,D3,L4,V1,M4} { ! distinct_lines( X,
% 1.36/1.73 line_connecting( skol1, skol3 ) ), ! distinct_points( skol1, skol3 ),
% 1.36/1.73 apart_point_and_line( skol1, X ), apart_point_and_line( skol2, X ) }.
% 1.36/1.73 parent0[0]: (941) {G1,W17,D3,L5,V1,M5} { ! distinct_points( skol1, skol2 )
% 1.36/1.73 , ! distinct_lines( X, line_connecting( skol1, skol3 ) ), !
% 1.36/1.73 distinct_points( skol1, skol3 ), apart_point_and_line( skol1, X ),
% 1.36/1.73 apart_point_and_line( skol2, X ) }.
% 1.36/1.73 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.36/1.73 }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (457) {G2,W14,D3,L4,V1,M1} R(53,16);r(14) { ! distinct_points
% 1.36/1.73 ( skol1, skol3 ), ! distinct_lines( X, line_connecting( skol1, skol3 ) )
% 1.36/1.73 , apart_point_and_line( skol1, X ), apart_point_and_line( skol2, X ) }.
% 1.36/1.73 parent0: (944) {G1,W14,D3,L4,V1,M4} { ! distinct_lines( X, line_connecting
% 1.36/1.73 ( skol1, skol3 ) ), ! distinct_points( skol1, skol3 ),
% 1.36/1.73 apart_point_and_line( skol1, X ), apart_point_and_line( skol2, X ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 1
% 1.36/1.73 1 ==> 0
% 1.36/1.73 2 ==> 2
% 1.36/1.73 3 ==> 3
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (945) {G1,W15,D3,L3,V1,M3} { ! distinct_points( X, skol2 ), !
% 1.36/1.73 distinct_lines( line_connecting( X, skol2 ), line_connecting( skol1,
% 1.36/1.73 skol3 ) ), apart_point_and_line( X, line_connecting( skol1, skol3 ) ) }.
% 1.36/1.73 parent0[0]: (16) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol2,
% 1.36/1.73 line_connecting( skol1, skol3 ) ) }.
% 1.36/1.73 parent1[2]: (74) {G2,W14,D3,L4,V3,M2} F(58);r(6) { ! distinct_points( X, Y
% 1.36/1.73 ), ! distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line
% 1.36/1.73 ( Y, Z ), apart_point_and_line( X, Z ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 X := X
% 1.36/1.73 Y := skol2
% 1.36/1.73 Z := line_connecting( skol1, skol3 )
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (581) {G3,W15,D3,L3,V1,M1} R(74,16) { ! distinct_points( X,
% 1.36/1.73 skol2 ), ! distinct_lines( line_connecting( X, skol2 ), line_connecting(
% 1.36/1.73 skol1, skol3 ) ), apart_point_and_line( X, line_connecting( skol1, skol3
% 1.36/1.73 ) ) }.
% 1.36/1.73 parent0: (945) {G1,W15,D3,L3,V1,M3} { ! distinct_points( X, skol2 ), !
% 1.36/1.73 distinct_lines( line_connecting( X, skol2 ), line_connecting( skol1,
% 1.36/1.73 skol3 ) ), apart_point_and_line( X, line_connecting( skol1, skol3 ) ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 0
% 1.36/1.73 1 ==> 1
% 1.36/1.73 2 ==> 2
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (947) {G3,W11,D3,L3,V1,M3} { ! distinct_lines( X,
% 1.36/1.73 line_connecting( skol1, skol3 ) ), apart_point_and_line( skol1, X ),
% 1.36/1.73 apart_point_and_line( skol2, X ) }.
% 1.36/1.73 parent0[0]: (457) {G2,W14,D3,L4,V1,M1} R(53,16);r(14) { ! distinct_points(
% 1.36/1.73 skol1, skol3 ), ! distinct_lines( X, line_connecting( skol1, skol3 ) ),
% 1.36/1.73 apart_point_and_line( skol1, X ), apart_point_and_line( skol2, X ) }.
% 1.36/1.73 parent1[0]: (106) {G3,W3,D2,L1,V0,M1} R(100,20) { distinct_points( skol1,
% 1.36/1.73 skol3 ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (604) {G4,W11,D3,L3,V1,M1} S(457);r(106) { ! distinct_lines( X
% 1.36/1.73 , line_connecting( skol1, skol3 ) ), apart_point_and_line( skol1, X ),
% 1.36/1.73 apart_point_and_line( skol2, X ) }.
% 1.36/1.73 parent0: (947) {G3,W11,D3,L3,V1,M3} { ! distinct_lines( X, line_connecting
% 1.36/1.73 ( skol1, skol3 ) ), apart_point_and_line( skol1, X ),
% 1.36/1.73 apart_point_and_line( skol2, X ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 0
% 1.36/1.73 1 ==> 1
% 1.36/1.73 2 ==> 2
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (949) {G1,W15,D3,L3,V1,M3} { ! distinct_points( skol2, X ), !
% 1.36/1.73 distinct_lines( line_connecting( skol2, X ), line_connecting( skol1,
% 1.36/1.73 skol3 ) ), apart_point_and_line( skol1, line_connecting( skol2, X ) ) }.
% 1.36/1.73 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.36/1.73 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.36/1.73 parent1[2]: (604) {G4,W11,D3,L3,V1,M1} S(457);r(106) { ! distinct_lines( X
% 1.36/1.73 , line_connecting( skol1, skol3 ) ), apart_point_and_line( skol1, X ),
% 1.36/1.73 apart_point_and_line( skol2, X ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := skol2
% 1.36/1.73 Y := X
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 X := line_connecting( skol2, X )
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (609) {G5,W15,D3,L3,V1,M1} R(604,6) { ! distinct_lines(
% 1.36/1.73 line_connecting( skol2, X ), line_connecting( skol1, skol3 ) ), !
% 1.36/1.73 distinct_points( skol2, X ), apart_point_and_line( skol1, line_connecting
% 1.36/1.73 ( skol2, X ) ) }.
% 1.36/1.73 parent0: (949) {G1,W15,D3,L3,V1,M3} { ! distinct_points( skol2, X ), !
% 1.36/1.73 distinct_lines( line_connecting( skol2, X ), line_connecting( skol1,
% 1.36/1.73 skol3 ) ), apart_point_and_line( skol1, line_connecting( skol2, X ) ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 1
% 1.36/1.73 1 ==> 0
% 1.36/1.73 2 ==> 2
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (950) {G1,W13,D3,L3,V0,M3} { ! distinct_points( skol2, skol1 )
% 1.36/1.73 , ! distinct_lines( line_connecting( skol2, skol1 ), line_connecting(
% 1.36/1.73 skol1, skol3 ) ), ! distinct_points( skol2, skol1 ) }.
% 1.36/1.73 parent0[1]: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.36/1.73 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.36/1.73 parent1[2]: (609) {G5,W15,D3,L3,V1,M1} R(604,6) { ! distinct_lines(
% 1.36/1.73 line_connecting( skol2, X ), line_connecting( skol1, skol3 ) ), !
% 1.36/1.73 distinct_points( skol2, X ), apart_point_and_line( skol1, line_connecting
% 1.36/1.73 ( skol2, X ) ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := skol2
% 1.36/1.73 Y := skol1
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 X := skol1
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 factor: (951) {G1,W10,D3,L2,V0,M2} { ! distinct_points( skol2, skol1 ), !
% 1.36/1.73 distinct_lines( line_connecting( skol2, skol1 ), line_connecting( skol1,
% 1.36/1.73 skol3 ) ) }.
% 1.36/1.73 parent0[0, 2]: (950) {G1,W13,D3,L3,V0,M3} { ! distinct_points( skol2,
% 1.36/1.73 skol1 ), ! distinct_lines( line_connecting( skol2, skol1 ),
% 1.36/1.73 line_connecting( skol1, skol3 ) ), ! distinct_points( skol2, skol1 ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (953) {G2,W7,D3,L1,V0,M1} { ! distinct_lines( line_connecting
% 1.36/1.73 ( skol2, skol1 ), line_connecting( skol1, skol3 ) ) }.
% 1.36/1.73 parent0[0]: (951) {G1,W10,D3,L2,V0,M2} { ! distinct_points( skol2, skol1 )
% 1.36/1.73 , ! distinct_lines( line_connecting( skol2, skol1 ), line_connecting(
% 1.36/1.73 skol1, skol3 ) ) }.
% 1.36/1.73 parent1[0]: (23) {G2,W3,D2,L1,V0,M1} R(20,14) { distinct_points( skol2,
% 1.36/1.73 skol1 ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (613) {G6,W7,D3,L1,V0,M1} R(609,7);f;r(23) { ! distinct_lines
% 1.36/1.73 ( line_connecting( skol2, skol1 ), line_connecting( skol1, skol3 ) ) }.
% 1.36/1.73 parent0: (953) {G2,W7,D3,L1,V0,M1} { ! distinct_lines( line_connecting(
% 1.36/1.73 skol2, skol1 ), line_connecting( skol1, skol3 ) ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 0
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (954) {G5,W10,D3,L2,V0,M2} { ! distinct_points( skol1, skol3 )
% 1.36/1.73 , distinct_lines( line_connecting( skol2, skol1 ), line_connecting( skol1
% 1.36/1.73 , skol2 ) ) }.
% 1.36/1.73 parent0[0]: (613) {G6,W7,D3,L1,V0,M1} R(609,7);f;r(23) { ! distinct_lines(
% 1.36/1.73 line_connecting( skol2, skol1 ), line_connecting( skol1, skol3 ) ) }.
% 1.36/1.73 parent1[2]: (304) {G4,W13,D3,L3,V2,M1} R(175,49) { ! distinct_points( X,
% 1.36/1.73 skol3 ), distinct_lines( Y, line_connecting( skol1, skol2 ) ),
% 1.36/1.73 distinct_lines( Y, line_connecting( X, skol3 ) ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 X := skol1
% 1.36/1.73 Y := line_connecting( skol2, skol1 )
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (955) {G4,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 1.36/1.73 skol2, skol1 ), line_connecting( skol1, skol2 ) ) }.
% 1.36/1.73 parent0[0]: (954) {G5,W10,D3,L2,V0,M2} { ! distinct_points( skol1, skol3 )
% 1.36/1.73 , distinct_lines( line_connecting( skol2, skol1 ), line_connecting( skol1
% 1.36/1.73 , skol2 ) ) }.
% 1.36/1.73 parent1[0]: (106) {G3,W3,D2,L1,V0,M1} R(100,20) { distinct_points( skol1,
% 1.36/1.73 skol3 ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (614) {G7,W7,D3,L1,V0,M1} R(613,304);r(106) { distinct_lines(
% 1.36/1.73 line_connecting( skol2, skol1 ), line_connecting( skol1, skol2 ) ) }.
% 1.36/1.73 parent0: (955) {G4,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 1.36/1.73 skol2, skol1 ), line_connecting( skol1, skol2 ) ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 0
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (956) {G3,W10,D3,L2,V1,M2} { distinct_lines( line_connecting(
% 1.36/1.73 skol2, skol1 ), X ), distinct_lines( X, line_connecting( skol1, skol2 ) )
% 1.36/1.73 }.
% 1.36/1.73 parent0[1]: (30) {G2,W9,D2,L3,V3,M3} R(28,4) { distinct_lines( Z, X ), !
% 1.36/1.73 distinct_lines( Z, Y ), distinct_lines( X, Y ) }.
% 1.36/1.73 parent1[0]: (614) {G7,W7,D3,L1,V0,M1} R(613,304);r(106) { distinct_lines(
% 1.36/1.73 line_connecting( skol2, skol1 ), line_connecting( skol1, skol2 ) ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 Y := line_connecting( skol1, skol2 )
% 1.36/1.73 Z := line_connecting( skol2, skol1 )
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (667) {G8,W10,D3,L2,V1,M2} R(614,30) { distinct_lines( X,
% 1.36/1.73 line_connecting( skol1, skol2 ) ), distinct_lines( line_connecting( skol2
% 1.36/1.73 , skol1 ), X ) }.
% 1.36/1.73 parent0: (956) {G3,W10,D3,L2,V1,M2} { distinct_lines( line_connecting(
% 1.36/1.73 skol2, skol1 ), X ), distinct_lines( X, line_connecting( skol1, skol2 ) )
% 1.36/1.73 }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := X
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 1
% 1.36/1.73 1 ==> 0
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (957) {G7,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 1.36/1.73 skol1, skol3 ), line_connecting( skol1, skol2 ) ) }.
% 1.36/1.73 parent0[0]: (613) {G6,W7,D3,L1,V0,M1} R(609,7);f;r(23) { ! distinct_lines(
% 1.36/1.73 line_connecting( skol2, skol1 ), line_connecting( skol1, skol3 ) ) }.
% 1.36/1.73 parent1[1]: (667) {G8,W10,D3,L2,V1,M2} R(614,30) { distinct_lines( X,
% 1.36/1.73 line_connecting( skol1, skol2 ) ), distinct_lines( line_connecting( skol2
% 1.36/1.73 , skol1 ), X ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 X := line_connecting( skol1, skol3 )
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (671) {G9,W7,D3,L1,V0,M1} R(667,613) { distinct_lines(
% 1.36/1.73 line_connecting( skol1, skol3 ), line_connecting( skol1, skol2 ) ) }.
% 1.36/1.73 parent0: (957) {G7,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 1.36/1.73 skol1, skol3 ), line_connecting( skol1, skol2 ) ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 0
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (958) {G2,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 1.36/1.73 skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 1.36/1.73 parent0[0]: (28) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 1.36/1.73 distinct_lines( X, Y ) }.
% 1.36/1.73 parent1[0]: (671) {G9,W7,D3,L1,V0,M1} R(667,613) { distinct_lines(
% 1.36/1.73 line_connecting( skol1, skol3 ), line_connecting( skol1, skol2 ) ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := line_connecting( skol1, skol2 )
% 1.36/1.73 Y := line_connecting( skol1, skol3 )
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (683) {G10,W7,D3,L1,V0,M1} R(671,28) { distinct_lines(
% 1.36/1.73 line_connecting( skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 1.36/1.73 parent0: (958) {G2,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 1.36/1.73 skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 0
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (959) {G1,W13,D3,L3,V0,M3} { ! distinct_points( skol1, skol3 )
% 1.36/1.73 , ! distinct_points( skol1, skol2 ), ! distinct_lines( line_connecting(
% 1.36/1.73 skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 1.36/1.73 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.36/1.73 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.36/1.73 parent1[2]: (581) {G3,W15,D3,L3,V1,M1} R(74,16) { ! distinct_points( X,
% 1.36/1.73 skol2 ), ! distinct_lines( line_connecting( X, skol2 ), line_connecting(
% 1.36/1.73 skol1, skol3 ) ), apart_point_and_line( X, line_connecting( skol1, skol3
% 1.36/1.73 ) ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 X := skol1
% 1.36/1.73 Y := skol3
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 X := skol1
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (960) {G1,W10,D3,L2,V0,M2} { ! distinct_points( skol1, skol3 )
% 1.36/1.73 , ! distinct_lines( line_connecting( skol1, skol2 ), line_connecting(
% 1.36/1.73 skol1, skol3 ) ) }.
% 1.36/1.73 parent0[1]: (959) {G1,W13,D3,L3,V0,M3} { ! distinct_points( skol1, skol3 )
% 1.36/1.73 , ! distinct_points( skol1, skol2 ), ! distinct_lines( line_connecting(
% 1.36/1.73 skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 1.36/1.73 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.36/1.73 }.
% 1.36/1.73 substitution0:
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (788) {G4,W10,D3,L2,V0,M1} R(581,6);r(14) { ! distinct_points
% 1.36/1.73 ( skol1, skol3 ), ! distinct_lines( line_connecting( skol1, skol2 ),
% 1.36/1.73 line_connecting( skol1, skol3 ) ) }.
% 1.36/1.73 parent0: (960) {G1,W10,D3,L2,V0,M2} { ! distinct_points( skol1, skol3 ), !
% 1.36/1.73 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol1
% 1.36/1.73 , skol3 ) ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 0 ==> 0
% 1.36/1.73 1 ==> 1
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (961) {G4,W7,D3,L1,V0,M1} { ! distinct_lines( line_connecting
% 1.36/1.73 ( skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 1.36/1.73 parent0[0]: (788) {G4,W10,D3,L2,V0,M1} R(581,6);r(14) { ! distinct_points(
% 1.36/1.73 skol1, skol3 ), ! distinct_lines( line_connecting( skol1, skol2 ),
% 1.36/1.73 line_connecting( skol1, skol3 ) ) }.
% 1.36/1.73 parent1[0]: (106) {G3,W3,D2,L1,V0,M1} R(100,20) { distinct_points( skol1,
% 1.36/1.73 skol3 ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 resolution: (962) {G5,W0,D0,L0,V0,M0} { }.
% 1.36/1.73 parent0[0]: (961) {G4,W7,D3,L1,V0,M1} { ! distinct_lines( line_connecting
% 1.36/1.73 ( skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 1.36/1.73 parent1[0]: (683) {G10,W7,D3,L1,V0,M1} R(671,28) { distinct_lines(
% 1.36/1.73 line_connecting( skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 1.36/1.73 substitution0:
% 1.36/1.73 end
% 1.36/1.73 substitution1:
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 subsumption: (790) {G11,W0,D0,L0,V0,M0} S(788);r(106);r(683) { }.
% 1.36/1.73 parent0: (962) {G5,W0,D0,L0,V0,M0} { }.
% 1.36/1.73 substitution0:
% 1.36/1.73 end
% 1.36/1.73 permutation0:
% 1.36/1.73 end
% 1.36/1.73
% 1.36/1.73 Proof check complete!
% 1.36/1.73
% 1.36/1.73 Memory use:
% 1.36/1.73
% 1.36/1.73 space for terms: 11347
% 1.36/1.73 space for clauses: 30664
% 1.36/1.73
% 1.36/1.73
% 1.36/1.73 clauses generated: 77227
% 1.36/1.73 clauses kept: 791
% 1.36/1.73 clauses selected: 643
% 1.36/1.73 clauses deleted: 5
% 1.36/1.73 clauses inuse deleted: 0
% 1.36/1.73
% 1.36/1.73 subsentry: 89700
% 1.36/1.73 literals s-matched: 68607
% 1.36/1.73 literals matched: 68510
% 1.36/1.73 full subsumption: 54854
% 1.36/1.73
% 1.36/1.73 checksum: 63775110
% 1.36/1.73
% 1.36/1.73
% 1.36/1.73 Bliksem ended
%------------------------------------------------------------------------------