TSTP Solution File: GEO189+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO189+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 02:52:28 EDT 2022
% Result : Theorem 1.40s 1.78s
% Output : Refutation 1.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : GEO189+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sat Jun 18 05:00:43 EDT 2022
% 0.20/0.35 % CPUTime :
% 1.40/1.78 *** allocated 10000 integers for termspace/termends
% 1.40/1.78 *** allocated 10000 integers for clauses
% 1.40/1.78 *** allocated 10000 integers for justifications
% 1.40/1.78 Bliksem 1.12
% 1.40/1.78
% 1.40/1.78
% 1.40/1.78 Automatic Strategy Selection
% 1.40/1.78
% 1.40/1.78
% 1.40/1.78 Clauses:
% 1.40/1.78
% 1.40/1.78 { ! distinct_points( X, X ) }.
% 1.40/1.78 { ! distinct_lines( X, X ) }.
% 1.40/1.78 { ! convergent_lines( X, X ) }.
% 1.40/1.78 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 1.40/1.78 ) }.
% 1.40/1.78 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 1.40/1.78 }.
% 1.40/1.78 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 1.40/1.78 , Z ) }.
% 1.40/1.78 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 1.40/1.78 , Y ) ) }.
% 1.40/1.78 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 1.40/1.78 , Y ) ) }.
% 1.40/1.78 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 1.40/1.78 , Y ), X ) }.
% 1.40/1.78 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 1.40/1.78 , Y ), Y ) }.
% 1.40/1.78 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 1.40/1.78 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.40/1.78 apart_point_and_line( Y, T ) }.
% 1.40/1.78 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 1.40/1.78 apart_point_and_line( Z, Y ) }.
% 1.40/1.78 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 1.40/1.78 apart_point_and_line( X, Z ) }.
% 1.40/1.78 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 1.40/1.78 Z ) }.
% 1.40/1.78 { distinct_points( skol1, skol2 ) }.
% 1.40/1.78 { distinct_points( skol1, skol3 ) }.
% 1.40/1.78 { distinct_points( skol2, skol3 ) }.
% 1.40/1.78 { ! apart_point_and_line( skol3, line_connecting( skol1, skol2 ) ) }.
% 1.40/1.78 { apart_point_and_line( skol2, line_connecting( skol1, skol3 ) ) }.
% 1.40/1.78
% 1.40/1.78 percentage equality = 0.000000, percentage horn = 0.631579
% 1.40/1.78 This a non-horn, non-equality problem
% 1.40/1.78
% 1.40/1.78
% 1.40/1.78 Options Used:
% 1.40/1.78
% 1.40/1.78 useres = 1
% 1.40/1.78 useparamod = 0
% 1.40/1.78 useeqrefl = 0
% 1.40/1.78 useeqfact = 0
% 1.40/1.78 usefactor = 1
% 1.40/1.78 usesimpsplitting = 0
% 1.40/1.78 usesimpdemod = 0
% 1.40/1.78 usesimpres = 3
% 1.40/1.78
% 1.40/1.78 resimpinuse = 1000
% 1.40/1.78 resimpclauses = 20000
% 1.40/1.78 substype = standard
% 1.40/1.78 backwardsubs = 1
% 1.40/1.78 selectoldest = 5
% 1.40/1.78
% 1.40/1.78 litorderings [0] = split
% 1.40/1.78 litorderings [1] = liftord
% 1.40/1.78
% 1.40/1.78 termordering = none
% 1.40/1.78
% 1.40/1.78 litapriori = 1
% 1.40/1.78 termapriori = 0
% 1.40/1.78 litaposteriori = 0
% 1.40/1.78 termaposteriori = 0
% 1.40/1.78 demodaposteriori = 0
% 1.40/1.78 ordereqreflfact = 0
% 1.40/1.78
% 1.40/1.78 litselect = none
% 1.40/1.78
% 1.40/1.78 maxweight = 15
% 1.40/1.78 maxdepth = 30000
% 1.40/1.78 maxlength = 115
% 1.40/1.78 maxnrvars = 195
% 1.40/1.78 excuselevel = 1
% 1.40/1.78 increasemaxweight = 1
% 1.40/1.78
% 1.40/1.78 maxselected = 10000000
% 1.40/1.78 maxnrclauses = 10000000
% 1.40/1.78
% 1.40/1.78 showgenerated = 0
% 1.40/1.78 showkept = 0
% 1.40/1.78 showselected = 0
% 1.40/1.78 showdeleted = 0
% 1.40/1.78 showresimp = 1
% 1.40/1.78 showstatus = 2000
% 1.40/1.78
% 1.40/1.78 prologoutput = 0
% 1.40/1.78 nrgoals = 5000000
% 1.40/1.78 totalproof = 1
% 1.40/1.78
% 1.40/1.78 Symbols occurring in the translation:
% 1.40/1.78
% 1.40/1.78 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.40/1.78 . [1, 2] (w:1, o:19, a:1, s:1, b:0),
% 1.40/1.78 ! [4, 1] (w:0, o:14, a:1, s:1, b:0),
% 1.40/1.78 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.40/1.78 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.40/1.78 distinct_points [36, 2] (w:1, o:44, a:1, s:1, b:0),
% 1.40/1.78 distinct_lines [37, 2] (w:1, o:45, a:1, s:1, b:0),
% 1.40/1.78 convergent_lines [38, 2] (w:1, o:43, a:1, s:1, b:0),
% 1.40/1.78 line_connecting [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 1.40/1.78 apart_point_and_line [42, 2] (w:1, o:47, a:1, s:1, b:0),
% 1.40/1.78 intersection_point [43, 2] (w:1, o:48, a:1, s:1, b:0),
% 1.40/1.78 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 1.40/1.78 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.40/1.78 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0).
% 1.40/1.78
% 1.40/1.78
% 1.40/1.78 Starting Search:
% 1.40/1.78
% 1.40/1.78 *** allocated 15000 integers for clauses
% 1.40/1.78 *** allocated 22500 integers for clauses
% 1.40/1.78 *** allocated 33750 integers for clauses
% 1.40/1.78 *** allocated 15000 integers for termspace/termends
% 1.40/1.78
% 1.40/1.78 Bliksems!, er is een bewijs:
% 1.40/1.78 % SZS status Theorem
% 1.40/1.78 % SZS output start Refutation
% 1.40/1.78
% 1.40/1.78 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 1.40/1.78 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 1.40/1.78 , ! distinct_lines( X, Y ) }.
% 1.40/1.78 (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.40/1.78 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.40/1.78 (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.40/1.78 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.40/1.78 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 1.40/1.78 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.40/1.78 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 1.40/1.78 (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ), apart_point_and_line(
% 1.40/1.78 X, Z ), ! apart_point_and_line( X, Y ) }.
% 1.40/1.78 (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 ) }.
% 1.40/1.78 (15) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol3 ) }.
% 1.40/1.78 (16) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol2, skol3 ) }.
% 1.40/1.78 (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol3, line_connecting
% 1.40/1.78 ( skol1, skol2 ) ) }.
% 1.40/1.78 (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol2, line_connecting(
% 1.40/1.78 skol1, skol3 ) ) }.
% 1.40/1.78 (32) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 1.40/1.78 ( X, Y ) }.
% 1.40/1.78 (33) {G2,W9,D2,L3,V3,M3} R(32,4) { distinct_lines( Z, X ), ! distinct_lines
% 1.40/1.78 ( Y, Z ), distinct_lines( X, Y ) }.
% 1.40/1.78 (76) {G1,W22,D3,L6,V4,M3} R(10,7) { ! distinct_points( X, Y ), !
% 1.40/1.78 distinct_lines( Z, line_connecting( T, X ) ), ! distinct_points( T, X ),
% 1.40/1.78 apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ),
% 1.40/1.78 apart_point_and_line( Y, line_connecting( T, X ) ) }.
% 1.40/1.78 (80) {G1,W22,D3,L6,V4,M3} R(10,6) { ! distinct_points( X, Y ), !
% 1.40/1.78 distinct_lines( Z, line_connecting( X, T ) ), ! distinct_points( X, T ),
% 1.40/1.78 apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ),
% 1.40/1.78 apart_point_and_line( Y, line_connecting( X, T ) ) }.
% 1.40/1.78 (89) {G2,W14,D3,L4,V3,M2} F(80);r(7) { ! distinct_points( X, Y ), !
% 1.40/1.78 distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line( Y, Z
% 1.40/1.78 ), apart_point_and_line( X, Z ) }.
% 1.40/1.78 (144) {G1,W8,D3,L2,V1,M1} R(12,18) { distinct_lines( line_connecting( skol1
% 1.40/1.78 , skol3 ), X ), apart_point_and_line( skol2, X ) }.
% 1.40/1.78 (148) {G2,W10,D3,L2,V1,M1} R(144,6) { ! distinct_points( skol2, X ),
% 1.40/1.78 distinct_lines( line_connecting( skol1, skol3 ), line_connecting( skol2,
% 1.40/1.78 X ) ) }.
% 1.40/1.78 (307) {G3,W13,D3,L3,V2,M2} R(148,33) { ! distinct_points( skol2, X ),
% 1.40/1.78 distinct_lines( Y, line_connecting( skol1, skol3 ) ), distinct_lines(
% 1.40/1.78 line_connecting( skol2, X ), Y ) }.
% 1.40/1.78 (548) {G2,W14,D3,L4,V1,M1} R(76,17);r(16) { ! distinct_points( skol1, skol2
% 1.40/1.78 ), ! distinct_lines( X, line_connecting( skol1, skol2 ) ),
% 1.40/1.78 apart_point_and_line( skol2, X ), apart_point_and_line( skol3, X ) }.
% 1.40/1.78 (581) {G3,W15,D3,L3,V1,M1} R(89,17) { ! distinct_points( X, skol3 ), !
% 1.40/1.78 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( X,
% 1.40/1.78 skol3 ) ), apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 1.40/1.78 (604) {G3,W11,D3,L3,V1,M1} S(548);r(14) { ! distinct_lines( X,
% 1.40/1.78 line_connecting( skol1, skol2 ) ), apart_point_and_line( skol2, X ),
% 1.40/1.78 apart_point_and_line( skol3, X ) }.
% 1.40/1.78 (609) {G4,W15,D3,L3,V1,M1} R(604,7) { ! distinct_lines( line_connecting( X
% 1.40/1.78 , skol3 ), line_connecting( skol1, skol2 ) ), ! distinct_points( X, skol3
% 1.40/1.78 ), apart_point_and_line( skol2, line_connecting( X, skol3 ) ) }.
% 1.40/1.78 (613) {G5,W7,D3,L1,V0,M1} R(609,6);f;r(16) { ! distinct_lines(
% 1.40/1.78 line_connecting( skol2, skol3 ), line_connecting( skol1, skol2 ) ) }.
% 1.40/1.78 (616) {G6,W7,D3,L1,V0,M1} R(613,307);r(16) { distinct_lines(
% 1.40/1.78 line_connecting( skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 1.40/1.78 (786) {G4,W10,D3,L2,V0,M1} R(581,6);r(15) { ! distinct_points( skol1, skol2
% 1.40/1.78 ), ! distinct_lines( line_connecting( skol1, skol2 ), line_connecting(
% 1.40/1.78 skol1, skol3 ) ) }.
% 1.40/1.78 (787) {G7,W0,D0,L0,V0,M0} S(786);r(14);r(616) { }.
% 1.40/1.78
% 1.40/1.78
% 1.40/1.78 % SZS output end Refutation
% 1.40/1.78 found a proof!
% 1.40/1.78
% 1.40/1.78
% 1.40/1.78 Unprocessed initial clauses:
% 1.40/1.78
% 1.40/1.78 (789) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 1.40/1.78 (790) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 1.40/1.78 (791) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 1.40/1.78 (792) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 1.40/1.78 , Z ), distinct_points( Y, Z ) }.
% 1.40/1.78 (793) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 1.40/1.78 ), distinct_lines( Y, Z ) }.
% 1.40/1.78 (794) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines(
% 1.40/1.78 X, Z ), convergent_lines( Y, Z ) }.
% 1.40/1.78 (795) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.40/1.78 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.40/1.78 (796) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.40/1.78 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.40/1.78 (797) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 1.40/1.78 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 1.40/1.78 (798) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 1.40/1.78 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 1.40/1.78 (799) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines(
% 1.40/1.78 Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 1.40/1.78 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 1.40/1.78 (800) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.40/1.78 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 1.40/1.78 (801) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ), distinct_lines
% 1.40/1.78 ( Y, Z ), apart_point_and_line( X, Z ) }.
% 1.40/1.78 (802) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines( Y
% 1.40/1.78 , Z ), convergent_lines( X, Z ) }.
% 1.40/1.78 (803) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 1.40/1.78 (804) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol3 ) }.
% 1.40/1.78 (805) {G0,W3,D2,L1,V0,M1} { distinct_points( skol2, skol3 ) }.
% 1.40/1.78 (806) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( skol3, line_connecting
% 1.40/1.78 ( skol1, skol2 ) ) }.
% 1.40/1.78 (807) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( skol2, line_connecting(
% 1.40/1.78 skol1, skol3 ) ) }.
% 1.40/1.78
% 1.40/1.78
% 1.40/1.78 Total Proof:
% 1.40/1.78
% 1.40/1.78 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 1.40/1.78 parent0: (790) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := X
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 0 ==> 0
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 1.40/1.78 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 1.40/1.78 parent0: (793) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 1.40/1.78 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := X
% 1.40/1.78 Y := Y
% 1.40/1.78 Z := Z
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 0 ==> 2
% 1.40/1.78 1 ==> 0
% 1.40/1.78 2 ==> 1
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 subsumption: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.40/1.78 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.40/1.78 parent0: (795) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.40/1.78 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := X
% 1.40/1.78 Y := Y
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 0 ==> 0
% 1.40/1.78 1 ==> 1
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 subsumption: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.40/1.78 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.40/1.78 parent0: (796) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 1.40/1.78 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := X
% 1.40/1.78 Y := Y
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 0 ==> 0
% 1.40/1.78 1 ==> 1
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 1.40/1.78 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 1.40/1.78 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 1.40/1.78 apart_point_and_line( X, Z ) }.
% 1.40/1.78 parent0: (799) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 1.40/1.78 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 1.40/1.78 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 1.40/1.78 apart_point_and_line( Y, T ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := X
% 1.40/1.78 Y := Y
% 1.40/1.78 Z := Z
% 1.40/1.78 T := T
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 0 ==> 0
% 1.40/1.78 1 ==> 1
% 1.40/1.78 2 ==> 5
% 1.40/1.78 3 ==> 2
% 1.40/1.78 4 ==> 3
% 1.40/1.78 5 ==> 4
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 subsumption: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 1.40/1.78 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 1.40/1.78 parent0: (801) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 1.40/1.78 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := X
% 1.40/1.78 Y := Y
% 1.40/1.78 Z := Z
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 0 ==> 2
% 1.40/1.78 1 ==> 0
% 1.40/1.78 2 ==> 1
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.40/1.78 }.
% 1.40/1.78 parent0: (803) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 0 ==> 0
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 subsumption: (15) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol3 )
% 1.40/1.78 }.
% 1.40/1.78 parent0: (804) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol3 ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 0 ==> 0
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 subsumption: (16) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol2, skol3 )
% 1.40/1.78 }.
% 1.40/1.78 parent0: (805) {G0,W3,D2,L1,V0,M1} { distinct_points( skol2, skol3 ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 0 ==> 0
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 subsumption: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol3,
% 1.40/1.78 line_connecting( skol1, skol2 ) ) }.
% 1.40/1.78 parent0: (806) {G0,W5,D3,L1,V0,M1} { ! apart_point_and_line( skol3,
% 1.40/1.78 line_connecting( skol1, skol2 ) ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 0 ==> 0
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 subsumption: (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol2,
% 1.40/1.78 line_connecting( skol1, skol3 ) ) }.
% 1.40/1.78 parent0: (807) {G0,W5,D3,L1,V0,M1} { apart_point_and_line( skol2,
% 1.40/1.78 line_connecting( skol1, skol3 ) ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 0 ==> 0
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 resolution: (879) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 1.40/1.78 distinct_lines( X, Y ) }.
% 1.40/1.78 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 1.40/1.78 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 1.40/1.78 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := X
% 1.40/1.78 end
% 1.40/1.78 substitution1:
% 1.40/1.78 X := X
% 1.40/1.78 Y := Y
% 1.40/1.78 Z := X
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 subsumption: (32) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 1.40/1.78 distinct_lines( X, Y ) }.
% 1.40/1.78 parent0: (879) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 1.40/1.78 distinct_lines( X, Y ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := Y
% 1.40/1.78 Y := X
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 0 ==> 1
% 1.40/1.78 1 ==> 0
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 resolution: (881) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ),
% 1.40/1.78 distinct_lines( Z, Y ), ! distinct_lines( X, Z ) }.
% 1.40/1.78 parent0[0]: (32) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 1.40/1.78 distinct_lines( X, Y ) }.
% 1.40/1.78 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 1.40/1.78 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := Y
% 1.40/1.78 Y := X
% 1.40/1.78 end
% 1.40/1.78 substitution1:
% 1.40/1.78 X := X
% 1.40/1.78 Y := Z
% 1.40/1.78 Z := Y
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 subsumption: (33) {G2,W9,D2,L3,V3,M3} R(32,4) { distinct_lines( Z, X ), !
% 1.40/1.78 distinct_lines( Y, Z ), distinct_lines( X, Y ) }.
% 1.40/1.78 parent0: (881) {G1,W9,D2,L3,V3,M3} { distinct_lines( Y, X ),
% 1.40/1.78 distinct_lines( Z, Y ), ! distinct_lines( X, Z ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := Y
% 1.40/1.78 Y := X
% 1.40/1.78 Z := Z
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 0 ==> 2
% 1.40/1.78 1 ==> 0
% 1.40/1.78 2 ==> 1
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 resolution: (884) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 1.40/1.78 distinct_points( Y, Z ), ! distinct_lines( T, line_connecting( X, Y ) ),
% 1.40/1.78 apart_point_and_line( Z, T ), apart_point_and_line( Z, line_connecting( X
% 1.40/1.78 , Y ) ), apart_point_and_line( Y, T ) }.
% 1.40/1.78 parent0[1]: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.40/1.78 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.40/1.78 parent1[2]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 1.40/1.78 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 1.40/1.78 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 1.40/1.78 apart_point_and_line( X, Z ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := X
% 1.40/1.78 Y := Y
% 1.40/1.78 end
% 1.40/1.78 substitution1:
% 1.40/1.78 X := Y
% 1.40/1.78 Y := Z
% 1.40/1.78 Z := T
% 1.40/1.78 T := line_connecting( X, Y )
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 subsumption: (76) {G1,W22,D3,L6,V4,M3} R(10,7) { ! distinct_points( X, Y )
% 1.40/1.78 , ! distinct_lines( Z, line_connecting( T, X ) ), ! distinct_points( T, X
% 1.40/1.78 ), apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ),
% 1.40/1.78 apart_point_and_line( Y, line_connecting( T, X ) ) }.
% 1.40/1.78 parent0: (884) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 1.40/1.78 distinct_points( Y, Z ), ! distinct_lines( T, line_connecting( X, Y ) ),
% 1.40/1.78 apart_point_and_line( Z, T ), apart_point_and_line( Z, line_connecting( X
% 1.40/1.78 , Y ) ), apart_point_and_line( Y, T ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := T
% 1.40/1.78 Y := X
% 1.40/1.78 Z := Y
% 1.40/1.78 T := Z
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 0 ==> 2
% 1.40/1.78 1 ==> 0
% 1.40/1.78 2 ==> 1
% 1.40/1.78 3 ==> 4
% 1.40/1.78 4 ==> 5
% 1.40/1.78 5 ==> 3
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 resolution: (900) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 1.40/1.78 distinct_points( X, Z ), ! distinct_lines( T, line_connecting( X, Y ) ),
% 1.40/1.78 apart_point_and_line( Z, T ), apart_point_and_line( Z, line_connecting( X
% 1.40/1.78 , Y ) ), apart_point_and_line( X, T ) }.
% 1.40/1.78 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.40/1.78 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.40/1.78 parent1[2]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 1.40/1.78 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 1.40/1.78 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 1.40/1.78 apart_point_and_line( X, Z ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := X
% 1.40/1.78 Y := Y
% 1.40/1.78 end
% 1.40/1.78 substitution1:
% 1.40/1.78 X := X
% 1.40/1.78 Y := Z
% 1.40/1.78 Z := T
% 1.40/1.78 T := line_connecting( X, Y )
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 subsumption: (80) {G1,W22,D3,L6,V4,M3} R(10,6) { ! distinct_points( X, Y )
% 1.40/1.78 , ! distinct_lines( Z, line_connecting( X, T ) ), ! distinct_points( X, T
% 1.40/1.78 ), apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ),
% 1.40/1.78 apart_point_and_line( Y, line_connecting( X, T ) ) }.
% 1.40/1.78 parent0: (900) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 1.40/1.78 distinct_points( X, Z ), ! distinct_lines( T, line_connecting( X, Y ) ),
% 1.40/1.78 apart_point_and_line( Z, T ), apart_point_and_line( Z, line_connecting( X
% 1.40/1.78 , Y ) ), apart_point_and_line( X, T ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := X
% 1.40/1.78 Y := T
% 1.40/1.78 Z := Y
% 1.40/1.78 T := Z
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 0 ==> 2
% 1.40/1.78 1 ==> 0
% 1.40/1.78 2 ==> 1
% 1.40/1.78 3 ==> 4
% 1.40/1.78 4 ==> 5
% 1.40/1.78 5 ==> 3
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 factor: (916) {G1,W19,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 1.40/1.78 distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line( X, Z
% 1.40/1.78 ), apart_point_and_line( Y, Z ), apart_point_and_line( Y,
% 1.40/1.78 line_connecting( X, Y ) ) }.
% 1.40/1.78 parent0[0, 2]: (80) {G1,W22,D3,L6,V4,M3} R(10,6) { ! distinct_points( X, Y
% 1.40/1.78 ), ! distinct_lines( Z, line_connecting( X, T ) ), ! distinct_points( X
% 1.40/1.78 , T ), apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ),
% 1.40/1.78 apart_point_and_line( Y, line_connecting( X, T ) ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := X
% 1.40/1.78 Y := Y
% 1.40/1.78 Z := Z
% 1.40/1.78 T := Y
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 resolution: (923) {G1,W17,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 1.40/1.78 distinct_points( X, Y ), ! distinct_lines( Z, line_connecting( X, Y ) ),
% 1.40/1.78 apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ) }.
% 1.40/1.78 parent0[1]: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.40/1.78 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.40/1.78 parent1[4]: (916) {G1,W19,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 1.40/1.78 distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line( X, Z
% 1.40/1.78 ), apart_point_and_line( Y, Z ), apart_point_and_line( Y,
% 1.40/1.78 line_connecting( X, Y ) ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := X
% 1.40/1.78 Y := Y
% 1.40/1.78 end
% 1.40/1.78 substitution1:
% 1.40/1.78 X := X
% 1.40/1.78 Y := Y
% 1.40/1.78 Z := Z
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 factor: (924) {G1,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 1.40/1.78 distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line( X, Z
% 1.40/1.78 ), apart_point_and_line( Y, Z ) }.
% 1.40/1.78 parent0[0, 1]: (923) {G1,W17,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 1.40/1.78 distinct_points( X, Y ), ! distinct_lines( Z, line_connecting( X, Y ) ),
% 1.40/1.78 apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := X
% 1.40/1.78 Y := Y
% 1.40/1.78 Z := Z
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 subsumption: (89) {G2,W14,D3,L4,V3,M2} F(80);r(7) { ! distinct_points( X, Y
% 1.40/1.78 ), ! distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line
% 1.40/1.78 ( Y, Z ), apart_point_and_line( X, Z ) }.
% 1.40/1.78 parent0: (924) {G1,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 1.40/1.78 distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line( X, Z
% 1.40/1.78 ), apart_point_and_line( Y, Z ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := X
% 1.40/1.78 Y := Y
% 1.40/1.78 Z := Z
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 0 ==> 0
% 1.40/1.78 1 ==> 1
% 1.40/1.78 2 ==> 3
% 1.40/1.78 3 ==> 2
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 resolution: (926) {G1,W8,D3,L2,V1,M2} { distinct_lines( line_connecting(
% 1.40/1.78 skol1, skol3 ), X ), apart_point_and_line( skol2, X ) }.
% 1.40/1.78 parent0[2]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 1.40/1.78 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 1.40/1.78 parent1[0]: (18) {G0,W5,D3,L1,V0,M1} I { apart_point_and_line( skol2,
% 1.40/1.78 line_connecting( skol1, skol3 ) ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := skol2
% 1.40/1.78 Y := line_connecting( skol1, skol3 )
% 1.40/1.78 Z := X
% 1.40/1.78 end
% 1.40/1.78 substitution1:
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 subsumption: (144) {G1,W8,D3,L2,V1,M1} R(12,18) { distinct_lines(
% 1.40/1.78 line_connecting( skol1, skol3 ), X ), apart_point_and_line( skol2, X )
% 1.40/1.78 }.
% 1.40/1.78 parent0: (926) {G1,W8,D3,L2,V1,M2} { distinct_lines( line_connecting(
% 1.40/1.78 skol1, skol3 ), X ), apart_point_and_line( skol2, X ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := X
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 0 ==> 0
% 1.40/1.78 1 ==> 1
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 resolution: (927) {G1,W10,D3,L2,V1,M2} { ! distinct_points( skol2, X ),
% 1.40/1.78 distinct_lines( line_connecting( skol1, skol3 ), line_connecting( skol2,
% 1.40/1.78 X ) ) }.
% 1.40/1.78 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.40/1.78 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.40/1.78 parent1[1]: (144) {G1,W8,D3,L2,V1,M1} R(12,18) { distinct_lines(
% 1.40/1.78 line_connecting( skol1, skol3 ), X ), apart_point_and_line( skol2, X )
% 1.40/1.78 }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := skol2
% 1.40/1.78 Y := X
% 1.40/1.78 end
% 1.40/1.78 substitution1:
% 1.40/1.78 X := line_connecting( skol2, X )
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 subsumption: (148) {G2,W10,D3,L2,V1,M1} R(144,6) { ! distinct_points( skol2
% 1.40/1.78 , X ), distinct_lines( line_connecting( skol1, skol3 ), line_connecting(
% 1.40/1.78 skol2, X ) ) }.
% 1.40/1.78 parent0: (927) {G1,W10,D3,L2,V1,M2} { ! distinct_points( skol2, X ),
% 1.40/1.78 distinct_lines( line_connecting( skol1, skol3 ), line_connecting( skol2,
% 1.40/1.78 X ) ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := X
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 0 ==> 0
% 1.40/1.78 1 ==> 1
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 resolution: (928) {G3,W13,D3,L3,V2,M3} { distinct_lines( line_connecting(
% 1.40/1.78 skol2, X ), Y ), distinct_lines( Y, line_connecting( skol1, skol3 ) ), !
% 1.40/1.78 distinct_points( skol2, X ) }.
% 1.40/1.78 parent0[1]: (33) {G2,W9,D2,L3,V3,M3} R(32,4) { distinct_lines( Z, X ), !
% 1.40/1.78 distinct_lines( Y, Z ), distinct_lines( X, Y ) }.
% 1.40/1.78 parent1[1]: (148) {G2,W10,D3,L2,V1,M1} R(144,6) { ! distinct_points( skol2
% 1.40/1.78 , X ), distinct_lines( line_connecting( skol1, skol3 ), line_connecting(
% 1.40/1.78 skol2, X ) ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := Y
% 1.40/1.78 Y := line_connecting( skol1, skol3 )
% 1.40/1.78 Z := line_connecting( skol2, X )
% 1.40/1.78 end
% 1.40/1.78 substitution1:
% 1.40/1.78 X := X
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 subsumption: (307) {G3,W13,D3,L3,V2,M2} R(148,33) { ! distinct_points(
% 1.40/1.78 skol2, X ), distinct_lines( Y, line_connecting( skol1, skol3 ) ),
% 1.40/1.78 distinct_lines( line_connecting( skol2, X ), Y ) }.
% 1.40/1.78 parent0: (928) {G3,W13,D3,L3,V2,M3} { distinct_lines( line_connecting(
% 1.40/1.78 skol2, X ), Y ), distinct_lines( Y, line_connecting( skol1, skol3 ) ), !
% 1.40/1.78 distinct_points( skol2, X ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := X
% 1.40/1.78 Y := Y
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 0 ==> 2
% 1.40/1.78 1 ==> 1
% 1.40/1.78 2 ==> 0
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 resolution: (931) {G1,W17,D3,L5,V1,M5} { ! distinct_points( skol2, skol3 )
% 1.40/1.78 , ! distinct_lines( X, line_connecting( skol1, skol2 ) ), !
% 1.40/1.78 distinct_points( skol1, skol2 ), apart_point_and_line( skol2, X ),
% 1.40/1.78 apart_point_and_line( skol3, X ) }.
% 1.40/1.78 parent0[0]: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol3,
% 1.40/1.78 line_connecting( skol1, skol2 ) ) }.
% 1.40/1.78 parent1[5]: (76) {G1,W22,D3,L6,V4,M3} R(10,7) { ! distinct_points( X, Y ),
% 1.40/1.78 ! distinct_lines( Z, line_connecting( T, X ) ), ! distinct_points( T, X )
% 1.40/1.78 , apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ),
% 1.40/1.78 apart_point_and_line( Y, line_connecting( T, X ) ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 end
% 1.40/1.78 substitution1:
% 1.40/1.78 X := skol2
% 1.40/1.78 Y := skol3
% 1.40/1.78 Z := X
% 1.40/1.78 T := skol1
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 resolution: (933) {G1,W14,D3,L4,V1,M4} { ! distinct_lines( X,
% 1.40/1.78 line_connecting( skol1, skol2 ) ), ! distinct_points( skol1, skol2 ),
% 1.40/1.78 apart_point_and_line( skol2, X ), apart_point_and_line( skol3, X ) }.
% 1.40/1.78 parent0[0]: (931) {G1,W17,D3,L5,V1,M5} { ! distinct_points( skol2, skol3 )
% 1.40/1.78 , ! distinct_lines( X, line_connecting( skol1, skol2 ) ), !
% 1.40/1.78 distinct_points( skol1, skol2 ), apart_point_and_line( skol2, X ),
% 1.40/1.78 apart_point_and_line( skol3, X ) }.
% 1.40/1.78 parent1[0]: (16) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol2, skol3 )
% 1.40/1.78 }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := X
% 1.40/1.78 end
% 1.40/1.78 substitution1:
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 subsumption: (548) {G2,W14,D3,L4,V1,M1} R(76,17);r(16) { ! distinct_points
% 1.40/1.78 ( skol1, skol2 ), ! distinct_lines( X, line_connecting( skol1, skol2 ) )
% 1.40/1.78 , apart_point_and_line( skol2, X ), apart_point_and_line( skol3, X ) }.
% 1.40/1.78 parent0: (933) {G1,W14,D3,L4,V1,M4} { ! distinct_lines( X, line_connecting
% 1.40/1.78 ( skol1, skol2 ) ), ! distinct_points( skol1, skol2 ),
% 1.40/1.78 apart_point_and_line( skol2, X ), apart_point_and_line( skol3, X ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := X
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 0 ==> 1
% 1.40/1.78 1 ==> 0
% 1.40/1.78 2 ==> 2
% 1.40/1.78 3 ==> 3
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 *** allocated 50625 integers for clauses
% 1.40/1.78 resolution: (934) {G1,W15,D3,L3,V1,M3} { ! distinct_points( X, skol3 ), !
% 1.40/1.78 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( X,
% 1.40/1.78 skol3 ) ), apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 1.40/1.78 parent0[0]: (17) {G0,W5,D3,L1,V0,M1} I { ! apart_point_and_line( skol3,
% 1.40/1.78 line_connecting( skol1, skol2 ) ) }.
% 1.40/1.78 parent1[2]: (89) {G2,W14,D3,L4,V3,M2} F(80);r(7) { ! distinct_points( X, Y
% 1.40/1.78 ), ! distinct_lines( Z, line_connecting( X, Y ) ), apart_point_and_line
% 1.40/1.78 ( Y, Z ), apart_point_and_line( X, Z ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 end
% 1.40/1.78 substitution1:
% 1.40/1.78 X := X
% 1.40/1.78 Y := skol3
% 1.40/1.78 Z := line_connecting( skol1, skol2 )
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 subsumption: (581) {G3,W15,D3,L3,V1,M1} R(89,17) { ! distinct_points( X,
% 1.40/1.78 skol3 ), ! distinct_lines( line_connecting( skol1, skol2 ),
% 1.40/1.78 line_connecting( X, skol3 ) ), apart_point_and_line( X, line_connecting(
% 1.40/1.78 skol1, skol2 ) ) }.
% 1.40/1.78 parent0: (934) {G1,W15,D3,L3,V1,M3} { ! distinct_points( X, skol3 ), !
% 1.40/1.78 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( X,
% 1.40/1.78 skol3 ) ), apart_point_and_line( X, line_connecting( skol1, skol2 ) ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := X
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 0 ==> 0
% 1.40/1.78 1 ==> 1
% 1.40/1.78 2 ==> 2
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 resolution: (936) {G1,W11,D3,L3,V1,M3} { ! distinct_lines( X,
% 1.40/1.78 line_connecting( skol1, skol2 ) ), apart_point_and_line( skol2, X ),
% 1.40/1.78 apart_point_and_line( skol3, X ) }.
% 1.40/1.78 parent0[0]: (548) {G2,W14,D3,L4,V1,M1} R(76,17);r(16) { ! distinct_points(
% 1.40/1.78 skol1, skol2 ), ! distinct_lines( X, line_connecting( skol1, skol2 ) ),
% 1.40/1.78 apart_point_and_line( skol2, X ), apart_point_and_line( skol3, X ) }.
% 1.40/1.78 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.40/1.78 }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := X
% 1.40/1.78 end
% 1.40/1.78 substitution1:
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 subsumption: (604) {G3,W11,D3,L3,V1,M1} S(548);r(14) { ! distinct_lines( X
% 1.40/1.78 , line_connecting( skol1, skol2 ) ), apart_point_and_line( skol2, X ),
% 1.40/1.78 apart_point_and_line( skol3, X ) }.
% 1.40/1.78 parent0: (936) {G1,W11,D3,L3,V1,M3} { ! distinct_lines( X, line_connecting
% 1.40/1.78 ( skol1, skol2 ) ), apart_point_and_line( skol2, X ),
% 1.40/1.78 apart_point_and_line( skol3, X ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := X
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 0 ==> 0
% 1.40/1.78 1 ==> 1
% 1.40/1.78 2 ==> 2
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 resolution: (938) {G1,W15,D3,L3,V1,M3} { ! distinct_points( X, skol3 ), !
% 1.40/1.78 distinct_lines( line_connecting( X, skol3 ), line_connecting( skol1,
% 1.40/1.78 skol2 ) ), apart_point_and_line( skol2, line_connecting( X, skol3 ) ) }.
% 1.40/1.78 parent0[1]: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.40/1.78 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 1.40/1.78 parent1[2]: (604) {G3,W11,D3,L3,V1,M1} S(548);r(14) { ! distinct_lines( X,
% 1.40/1.78 line_connecting( skol1, skol2 ) ), apart_point_and_line( skol2, X ),
% 1.40/1.78 apart_point_and_line( skol3, X ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := X
% 1.40/1.78 Y := skol3
% 1.40/1.78 end
% 1.40/1.78 substitution1:
% 1.40/1.78 X := line_connecting( X, skol3 )
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 subsumption: (609) {G4,W15,D3,L3,V1,M1} R(604,7) { ! distinct_lines(
% 1.40/1.78 line_connecting( X, skol3 ), line_connecting( skol1, skol2 ) ), !
% 1.40/1.78 distinct_points( X, skol3 ), apart_point_and_line( skol2, line_connecting
% 1.40/1.78 ( X, skol3 ) ) }.
% 1.40/1.78 parent0: (938) {G1,W15,D3,L3,V1,M3} { ! distinct_points( X, skol3 ), !
% 1.40/1.78 distinct_lines( line_connecting( X, skol3 ), line_connecting( skol1,
% 1.40/1.78 skol2 ) ), apart_point_and_line( skol2, line_connecting( X, skol3 ) ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := X
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 0 ==> 1
% 1.40/1.78 1 ==> 0
% 1.40/1.78 2 ==> 2
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 resolution: (939) {G1,W13,D3,L3,V0,M3} { ! distinct_points( skol2, skol3 )
% 1.40/1.78 , ! distinct_lines( line_connecting( skol2, skol3 ), line_connecting(
% 1.40/1.78 skol1, skol2 ) ), ! distinct_points( skol2, skol3 ) }.
% 1.40/1.78 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.40/1.78 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.40/1.78 parent1[2]: (609) {G4,W15,D3,L3,V1,M1} R(604,7) { ! distinct_lines(
% 1.40/1.78 line_connecting( X, skol3 ), line_connecting( skol1, skol2 ) ), !
% 1.40/1.78 distinct_points( X, skol3 ), apart_point_and_line( skol2, line_connecting
% 1.40/1.78 ( X, skol3 ) ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := skol2
% 1.40/1.78 Y := skol3
% 1.40/1.78 end
% 1.40/1.78 substitution1:
% 1.40/1.78 X := skol2
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 factor: (940) {G1,W10,D3,L2,V0,M2} { ! distinct_points( skol2, skol3 ), !
% 1.40/1.78 distinct_lines( line_connecting( skol2, skol3 ), line_connecting( skol1,
% 1.40/1.78 skol2 ) ) }.
% 1.40/1.78 parent0[0, 2]: (939) {G1,W13,D3,L3,V0,M3} { ! distinct_points( skol2,
% 1.40/1.78 skol3 ), ! distinct_lines( line_connecting( skol2, skol3 ),
% 1.40/1.78 line_connecting( skol1, skol2 ) ), ! distinct_points( skol2, skol3 ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 resolution: (942) {G1,W7,D3,L1,V0,M1} { ! distinct_lines( line_connecting
% 1.40/1.78 ( skol2, skol3 ), line_connecting( skol1, skol2 ) ) }.
% 1.40/1.78 parent0[0]: (940) {G1,W10,D3,L2,V0,M2} { ! distinct_points( skol2, skol3 )
% 1.40/1.78 , ! distinct_lines( line_connecting( skol2, skol3 ), line_connecting(
% 1.40/1.78 skol1, skol2 ) ) }.
% 1.40/1.78 parent1[0]: (16) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol2, skol3 )
% 1.40/1.78 }.
% 1.40/1.78 substitution0:
% 1.40/1.78 end
% 1.40/1.78 substitution1:
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 subsumption: (613) {G5,W7,D3,L1,V0,M1} R(609,6);f;r(16) { ! distinct_lines
% 1.40/1.78 ( line_connecting( skol2, skol3 ), line_connecting( skol1, skol2 ) ) }.
% 1.40/1.78 parent0: (942) {G1,W7,D3,L1,V0,M1} { ! distinct_lines( line_connecting(
% 1.40/1.78 skol2, skol3 ), line_connecting( skol1, skol2 ) ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 0 ==> 0
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 resolution: (943) {G4,W10,D3,L2,V0,M2} { ! distinct_points( skol2, skol3 )
% 1.40/1.78 , distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol1
% 1.40/1.78 , skol3 ) ) }.
% 1.40/1.78 parent0[0]: (613) {G5,W7,D3,L1,V0,M1} R(609,6);f;r(16) { ! distinct_lines(
% 1.40/1.78 line_connecting( skol2, skol3 ), line_connecting( skol1, skol2 ) ) }.
% 1.40/1.78 parent1[2]: (307) {G3,W13,D3,L3,V2,M2} R(148,33) { ! distinct_points( skol2
% 1.40/1.78 , X ), distinct_lines( Y, line_connecting( skol1, skol3 ) ),
% 1.40/1.78 distinct_lines( line_connecting( skol2, X ), Y ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 end
% 1.40/1.78 substitution1:
% 1.40/1.78 X := skol3
% 1.40/1.78 Y := line_connecting( skol1, skol2 )
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 resolution: (944) {G1,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 1.40/1.78 skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 1.40/1.78 parent0[0]: (943) {G4,W10,D3,L2,V0,M2} { ! distinct_points( skol2, skol3 )
% 1.40/1.78 , distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol1
% 1.40/1.78 , skol3 ) ) }.
% 1.40/1.78 parent1[0]: (16) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol2, skol3 )
% 1.40/1.78 }.
% 1.40/1.78 substitution0:
% 1.40/1.78 end
% 1.40/1.78 substitution1:
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 subsumption: (616) {G6,W7,D3,L1,V0,M1} R(613,307);r(16) { distinct_lines(
% 1.40/1.78 line_connecting( skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 1.40/1.78 parent0: (944) {G1,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 1.40/1.78 skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 0 ==> 0
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 resolution: (945) {G1,W13,D3,L3,V0,M3} { ! distinct_points( skol1, skol2 )
% 1.40/1.78 , ! distinct_points( skol1, skol3 ), ! distinct_lines( line_connecting(
% 1.40/1.78 skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 1.40/1.78 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 1.40/1.78 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 1.40/1.78 parent1[2]: (581) {G3,W15,D3,L3,V1,M1} R(89,17) { ! distinct_points( X,
% 1.40/1.78 skol3 ), ! distinct_lines( line_connecting( skol1, skol2 ),
% 1.40/1.78 line_connecting( X, skol3 ) ), apart_point_and_line( X, line_connecting(
% 1.40/1.78 skol1, skol2 ) ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 X := skol1
% 1.40/1.78 Y := skol2
% 1.40/1.78 end
% 1.40/1.78 substitution1:
% 1.40/1.78 X := skol1
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 resolution: (946) {G1,W10,D3,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 1.40/1.78 , ! distinct_lines( line_connecting( skol1, skol2 ), line_connecting(
% 1.40/1.78 skol1, skol3 ) ) }.
% 1.40/1.78 parent0[1]: (945) {G1,W13,D3,L3,V0,M3} { ! distinct_points( skol1, skol2 )
% 1.40/1.78 , ! distinct_points( skol1, skol3 ), ! distinct_lines( line_connecting(
% 1.40/1.78 skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 1.40/1.78 parent1[0]: (15) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol3 )
% 1.40/1.78 }.
% 1.40/1.78 substitution0:
% 1.40/1.78 end
% 1.40/1.78 substitution1:
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 subsumption: (786) {G4,W10,D3,L2,V0,M1} R(581,6);r(15) { ! distinct_points
% 1.40/1.78 ( skol1, skol2 ), ! distinct_lines( line_connecting( skol1, skol2 ),
% 1.40/1.78 line_connecting( skol1, skol3 ) ) }.
% 1.40/1.78 parent0: (946) {G1,W10,D3,L2,V0,M2} { ! distinct_points( skol1, skol2 ), !
% 1.40/1.78 distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol1
% 1.40/1.78 , skol3 ) ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 0 ==> 0
% 1.40/1.78 1 ==> 1
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 resolution: (947) {G1,W7,D3,L1,V0,M1} { ! distinct_lines( line_connecting
% 1.40/1.78 ( skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 1.40/1.78 parent0[0]: (786) {G4,W10,D3,L2,V0,M1} R(581,6);r(15) { ! distinct_points(
% 1.40/1.78 skol1, skol2 ), ! distinct_lines( line_connecting( skol1, skol2 ),
% 1.40/1.78 line_connecting( skol1, skol3 ) ) }.
% 1.40/1.78 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 1.40/1.78 }.
% 1.40/1.78 substitution0:
% 1.40/1.78 end
% 1.40/1.78 substitution1:
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 resolution: (948) {G2,W0,D0,L0,V0,M0} { }.
% 1.40/1.78 parent0[0]: (947) {G1,W7,D3,L1,V0,M1} { ! distinct_lines( line_connecting
% 1.40/1.78 ( skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 1.40/1.78 parent1[0]: (616) {G6,W7,D3,L1,V0,M1} R(613,307);r(16) { distinct_lines(
% 1.40/1.78 line_connecting( skol1, skol2 ), line_connecting( skol1, skol3 ) ) }.
% 1.40/1.78 substitution0:
% 1.40/1.78 end
% 1.40/1.78 substitution1:
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 subsumption: (787) {G7,W0,D0,L0,V0,M0} S(786);r(14);r(616) { }.
% 1.40/1.78 parent0: (948) {G2,W0,D0,L0,V0,M0} { }.
% 1.40/1.78 substitution0:
% 1.40/1.78 end
% 1.40/1.78 permutation0:
% 1.40/1.78 end
% 1.40/1.78
% 1.40/1.78 Proof check complete!
% 1.40/1.78
% 1.40/1.78 Memory use:
% 1.40/1.78
% 1.40/1.78 space for terms: 11325
% 1.40/1.78 space for clauses: 30453
% 1.40/1.78
% 1.40/1.78
% 1.40/1.78 clauses generated: 77385
% 1.40/1.78 clauses kept: 788
% 1.40/1.78 clauses selected: 643
% 1.40/1.78 clauses deleted: 5
% 1.40/1.78 clauses inuse deleted: 0
% 1.40/1.78
% 1.40/1.78 subsentry: 90244
% 1.40/1.78 literals s-matched: 67622
% 1.40/1.78 literals matched: 67521
% 1.40/1.78 full subsumption: 54170
% 1.40/1.78
% 1.40/1.78 checksum: -528718253
% 1.40/1.78
% 1.40/1.78
% 1.40/1.78 Bliksem ended
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