TSTP Solution File: GEO183+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO183+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 02:52:23 EDT 2022
% Result : Theorem 0.75s 1.35s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO183+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jun 18 11:14:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.75/1.35 *** allocated 10000 integers for termspace/termends
% 0.75/1.35 *** allocated 10000 integers for clauses
% 0.75/1.35 *** allocated 10000 integers for justifications
% 0.75/1.35 Bliksem 1.12
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 Automatic Strategy Selection
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 Clauses:
% 0.75/1.35
% 0.75/1.35 { ! distinct_points( X, X ) }.
% 0.75/1.35 { ! distinct_lines( X, X ) }.
% 0.75/1.35 { ! convergent_lines( X, X ) }.
% 0.75/1.35 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 0.75/1.35 ) }.
% 0.75/1.35 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.75/1.35 }.
% 0.75/1.35 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 0.75/1.35 , Z ) }.
% 0.75/1.35 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 0.75/1.35 , Y ) ) }.
% 0.75/1.35 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 0.75/1.35 , Y ) ) }.
% 0.75/1.35 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 0.75/1.35 , Y ), X ) }.
% 0.75/1.35 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 0.75/1.35 , Y ), Y ) }.
% 0.75/1.35 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 0.75/1.35 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 0.75/1.35 apart_point_and_line( Y, T ) }.
% 0.75/1.35 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 0.75/1.35 apart_point_and_line( Z, Y ) }.
% 0.75/1.35 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 0.75/1.35 apart_point_and_line( X, Z ) }.
% 0.75/1.35 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 0.75/1.35 Z ) }.
% 0.75/1.35 { distinct_points( skol1, skol2 ) }.
% 0.75/1.35 { convergent_lines( skol3, skol4 ) }.
% 0.75/1.35 { ! distinct_lines( skol3, line_connecting( skol1, skol2 ) ) }.
% 0.75/1.35 { apart_point_and_line( skol1, skol3 ), apart_point_and_line( skol2, skol3
% 0.75/1.35 ) }.
% 0.75/1.35
% 0.75/1.35 percentage equality = 0.000000, percentage horn = 0.555556
% 0.75/1.35 This a non-horn, non-equality problem
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 Options Used:
% 0.75/1.35
% 0.75/1.35 useres = 1
% 0.75/1.35 useparamod = 0
% 0.75/1.35 useeqrefl = 0
% 0.75/1.35 useeqfact = 0
% 0.75/1.35 usefactor = 1
% 0.75/1.35 usesimpsplitting = 0
% 0.75/1.35 usesimpdemod = 0
% 0.75/1.35 usesimpres = 3
% 0.75/1.35
% 0.75/1.35 resimpinuse = 1000
% 0.75/1.35 resimpclauses = 20000
% 0.75/1.35 substype = standard
% 0.75/1.35 backwardsubs = 1
% 0.75/1.35 selectoldest = 5
% 0.75/1.35
% 0.75/1.35 litorderings [0] = split
% 0.75/1.35 litorderings [1] = liftord
% 0.75/1.35
% 0.75/1.35 termordering = none
% 0.75/1.35
% 0.75/1.35 litapriori = 1
% 0.75/1.35 termapriori = 0
% 0.75/1.35 litaposteriori = 0
% 0.75/1.35 termaposteriori = 0
% 0.75/1.35 demodaposteriori = 0
% 0.75/1.35 ordereqreflfact = 0
% 0.75/1.35
% 0.75/1.35 litselect = none
% 0.75/1.35
% 0.75/1.35 maxweight = 15
% 0.75/1.35 maxdepth = 30000
% 0.75/1.35 maxlength = 115
% 0.75/1.35 maxnrvars = 195
% 0.75/1.35 excuselevel = 1
% 0.75/1.35 increasemaxweight = 1
% 0.75/1.35
% 0.75/1.35 maxselected = 10000000
% 0.75/1.35 maxnrclauses = 10000000
% 0.75/1.35
% 0.75/1.35 showgenerated = 0
% 0.75/1.35 showkept = 0
% 0.75/1.35 showselected = 0
% 0.75/1.35 showdeleted = 0
% 0.75/1.35 showresimp = 1
% 0.75/1.35 showstatus = 2000
% 0.75/1.35
% 0.75/1.35 prologoutput = 0
% 0.75/1.35 nrgoals = 5000000
% 0.75/1.35 totalproof = 1
% 0.75/1.35
% 0.75/1.35 Symbols occurring in the translation:
% 0.75/1.35
% 0.75/1.35 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.35 . [1, 2] (w:1, o:20, a:1, s:1, b:0),
% 0.75/1.35 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.75/1.35 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.35 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.35 distinct_points [36, 2] (w:1, o:45, a:1, s:1, b:0),
% 0.75/1.35 distinct_lines [37, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.75/1.35 convergent_lines [38, 2] (w:1, o:44, a:1, s:1, b:0),
% 0.75/1.35 line_connecting [41, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.75/1.35 apart_point_and_line [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.75/1.35 intersection_point [43, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.75/1.35 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.75/1.35 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.75/1.35 skol3 [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.75/1.35 skol4 [49, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 Starting Search:
% 0.75/1.35
% 0.75/1.35 *** allocated 15000 integers for clauses
% 0.75/1.35 *** allocated 22500 integers for clauses
% 0.75/1.35 *** allocated 33750 integers for clauses
% 0.75/1.35 *** allocated 15000 integers for termspace/termends
% 0.75/1.35 *** allocated 50625 integers for clauses
% 0.75/1.35 Resimplifying inuse:
% 0.75/1.35 Done
% 0.75/1.35
% 0.75/1.35 *** allocated 22500 integers for termspace/termends
% 0.75/1.35
% 0.75/1.35 Bliksems!, er is een bewijs:
% 0.75/1.35 % SZS status Theorem
% 0.75/1.35 % SZS output start Refutation
% 0.75/1.35
% 0.75/1.35 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 0.75/1.35 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 0.75/1.35 , ! distinct_lines( X, Y ) }.
% 0.75/1.35 (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.75/1.35 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.75/1.35 (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.75/1.35 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.75/1.35 (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ), apart_point_and_line(
% 0.75/1.35 X, Z ), ! apart_point_and_line( X, Y ) }.
% 0.75/1.35 (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 ) }.
% 0.75/1.35 (16) {G0,W5,D3,L1,V0,M1} I { ! distinct_lines( skol3, line_connecting(
% 0.75/1.35 skol1, skol2 ) ) }.
% 0.75/1.35 (17) {G0,W6,D2,L2,V0,M1} I { apart_point_and_line( skol1, skol3 ),
% 0.75/1.35 apart_point_and_line( skol2, skol3 ) }.
% 0.75/1.35 (31) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 0.75/1.35 ( X, Y ) }.
% 0.75/1.35 (34) {G2,W5,D3,L1,V0,M1} R(31,16) { ! distinct_lines( line_connecting(
% 0.75/1.35 skol1, skol2 ), skol3 ) }.
% 0.75/1.35 (113) {G1,W12,D2,L4,V4,M2} R(12,12) { distinct_lines( X, Y ),
% 0.75/1.35 distinct_lines( Y, T ), apart_point_and_line( Z, T ), !
% 0.75/1.35 apart_point_and_line( Z, X ) }.
% 0.75/1.35 (580) {G2,W15,D2,L5,V5,M2} R(113,12) { distinct_lines( X, Y ),
% 0.75/1.35 distinct_lines( Y, Z ), distinct_lines( Z, U ), apart_point_and_line( T,
% 0.75/1.35 U ), ! apart_point_and_line( T, X ) }.
% 0.75/1.35 (582) {G3,W9,D2,L3,V3,M2} F(580);r(31) { distinct_lines( Y, X ), !
% 0.75/1.35 apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ) }.
% 0.75/1.35 (610) {G4,W9,D2,L3,V1,M2} R(582,17) { distinct_lines( X, skol3 ),
% 0.75/1.35 apart_point_and_line( skol1, skol3 ), apart_point_and_line( skol2, X )
% 0.75/1.35 }.
% 0.75/1.35 (611) {G4,W11,D3,L3,V3,M1} R(582,6) { distinct_lines( line_connecting( X, Y
% 0.75/1.35 ), Z ), ! distinct_points( X, Y ), ! apart_point_and_line( X, Z ) }.
% 0.75/1.35 (807) {G5,W14,D3,L4,V2,M1} R(611,610) { ! distinct_points( skol1, X ),
% 0.75/1.35 distinct_lines( line_connecting( skol1, X ), skol3 ), distinct_lines( Y,
% 0.75/1.35 skol3 ), apart_point_and_line( skol2, Y ) }.
% 0.75/1.35 (820) {G6,W13,D3,L3,V1,M1} F(807) { ! distinct_points( skol1, X ),
% 0.75/1.35 distinct_lines( line_connecting( skol1, X ), skol3 ),
% 0.75/1.35 apart_point_and_line( skol2, line_connecting( skol1, X ) ) }.
% 0.75/1.35 (1143) {G7,W5,D3,L1,V0,M1} R(820,7);f;r(14) { distinct_lines(
% 0.75/1.35 line_connecting( skol1, skol2 ), skol3 ) }.
% 0.75/1.35 (1144) {G8,W0,D0,L0,V0,M0} S(1143);r(34) { }.
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 % SZS output end Refutation
% 0.75/1.35 found a proof!
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 Unprocessed initial clauses:
% 0.75/1.35
% 0.75/1.35 (1146) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 0.75/1.35 (1147) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.75/1.35 (1148) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 0.75/1.35 (1149) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 0.75/1.35 , Z ), distinct_points( Y, Z ) }.
% 0.75/1.35 (1150) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X,
% 0.75/1.35 Z ), distinct_lines( Y, Z ) }.
% 0.75/1.35 (1151) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines
% 0.75/1.35 ( X, Z ), convergent_lines( Y, Z ) }.
% 0.75/1.35 (1152) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.75/1.35 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.75/1.35 (1153) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.75/1.35 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.75/1.35 (1154) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.75/1.35 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 0.75/1.35 (1155) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 0.75/1.35 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 0.75/1.35 (1156) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines
% 0.75/1.35 ( Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 0.75/1.35 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 0.75/1.35 (1157) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.75/1.35 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 0.75/1.35 (1158) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.75/1.35 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 0.75/1.35 (1159) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines( Y
% 0.75/1.35 , Z ), convergent_lines( X, Z ) }.
% 0.75/1.35 (1160) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 0.75/1.35 (1161) {G0,W3,D2,L1,V0,M1} { convergent_lines( skol3, skol4 ) }.
% 0.75/1.35 (1162) {G0,W5,D3,L1,V0,M1} { ! distinct_lines( skol3, line_connecting(
% 0.75/1.35 skol1, skol2 ) ) }.
% 0.75/1.35 (1163) {G0,W6,D2,L2,V0,M2} { apart_point_and_line( skol1, skol3 ),
% 0.75/1.35 apart_point_and_line( skol2, skol3 ) }.
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 Total Proof:
% 0.75/1.35
% 0.75/1.35 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 0.75/1.35 parent0: (1147) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 X := X
% 0.75/1.35 end
% 0.75/1.35 permutation0:
% 0.75/1.35 0 ==> 0
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 0.75/1.35 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 0.75/1.35 parent0: (1150) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 0.75/1.35 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 X := X
% 0.75/1.35 Y := Y
% 0.75/1.35 Z := Z
% 0.75/1.35 end
% 0.75/1.35 permutation0:
% 0.75/1.35 0 ==> 2
% 0.75/1.35 1 ==> 0
% 0.75/1.35 2 ==> 1
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 subsumption: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.75/1.35 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.75/1.35 parent0: (1152) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.75/1.35 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 X := X
% 0.75/1.35 Y := Y
% 0.75/1.35 end
% 0.75/1.35 permutation0:
% 0.75/1.35 0 ==> 0
% 0.75/1.35 1 ==> 1
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 subsumption: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.75/1.35 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.75/1.35 parent0: (1153) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 0.75/1.35 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 X := X
% 0.75/1.35 Y := Y
% 0.75/1.35 end
% 0.75/1.35 permutation0:
% 0.75/1.35 0 ==> 0
% 0.75/1.35 1 ==> 1
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 subsumption: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 0.75/1.35 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 0.75/1.35 parent0: (1158) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 0.75/1.35 distinct_lines( Y, Z ), apart_point_and_line( X, Z ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 X := X
% 0.75/1.35 Y := Y
% 0.75/1.35 Z := Z
% 0.75/1.35 end
% 0.75/1.35 permutation0:
% 0.75/1.35 0 ==> 2
% 0.75/1.35 1 ==> 0
% 0.75/1.35 2 ==> 1
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 0.75/1.35 }.
% 0.75/1.35 parent0: (1160) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 end
% 0.75/1.35 permutation0:
% 0.75/1.35 0 ==> 0
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 subsumption: (16) {G0,W5,D3,L1,V0,M1} I { ! distinct_lines( skol3,
% 0.75/1.35 line_connecting( skol1, skol2 ) ) }.
% 0.75/1.35 parent0: (1162) {G0,W5,D3,L1,V0,M1} { ! distinct_lines( skol3,
% 0.75/1.35 line_connecting( skol1, skol2 ) ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 end
% 0.75/1.35 permutation0:
% 0.75/1.35 0 ==> 0
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 subsumption: (17) {G0,W6,D2,L2,V0,M1} I { apart_point_and_line( skol1,
% 0.75/1.35 skol3 ), apart_point_and_line( skol2, skol3 ) }.
% 0.75/1.35 parent0: (1163) {G0,W6,D2,L2,V0,M2} { apart_point_and_line( skol1, skol3 )
% 0.75/1.35 , apart_point_and_line( skol2, skol3 ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 end
% 0.75/1.35 permutation0:
% 0.75/1.35 0 ==> 0
% 0.75/1.35 1 ==> 1
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 resolution: (1208) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 0.75/1.35 distinct_lines( X, Y ) }.
% 0.75/1.35 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 0.75/1.35 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 0.75/1.35 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 X := X
% 0.75/1.35 end
% 0.75/1.35 substitution1:
% 0.75/1.35 X := X
% 0.75/1.35 Y := Y
% 0.75/1.35 Z := X
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 subsumption: (31) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 0.75/1.35 distinct_lines( X, Y ) }.
% 0.75/1.35 parent0: (1208) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 0.75/1.35 distinct_lines( X, Y ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 X := Y
% 0.75/1.35 Y := X
% 0.75/1.35 end
% 0.75/1.35 permutation0:
% 0.75/1.35 0 ==> 1
% 0.75/1.35 1 ==> 0
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 resolution: (1210) {G1,W5,D3,L1,V0,M1} { ! distinct_lines( line_connecting
% 0.75/1.35 ( skol1, skol2 ), skol3 ) }.
% 0.75/1.35 parent0[0]: (16) {G0,W5,D3,L1,V0,M1} I { ! distinct_lines( skol3,
% 0.75/1.35 line_connecting( skol1, skol2 ) ) }.
% 0.75/1.35 parent1[1]: (31) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 0.75/1.35 distinct_lines( X, Y ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 end
% 0.75/1.35 substitution1:
% 0.75/1.35 X := skol3
% 0.75/1.35 Y := line_connecting( skol1, skol2 )
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 subsumption: (34) {G2,W5,D3,L1,V0,M1} R(31,16) { ! distinct_lines(
% 0.75/1.35 line_connecting( skol1, skol2 ), skol3 ) }.
% 0.75/1.35 parent0: (1210) {G1,W5,D3,L1,V0,M1} { ! distinct_lines( line_connecting(
% 0.75/1.35 skol1, skol2 ), skol3 ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 end
% 0.75/1.35 permutation0:
% 0.75/1.35 0 ==> 0
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 resolution: (1211) {G1,W12,D2,L4,V4,M4} { distinct_lines( X, Y ),
% 0.75/1.35 apart_point_and_line( Z, Y ), distinct_lines( T, X ), !
% 0.75/1.35 apart_point_and_line( Z, T ) }.
% 0.75/1.35 parent0[2]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 0.75/1.35 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 0.75/1.35 parent1[1]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 0.75/1.35 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 X := Z
% 0.75/1.35 Y := X
% 0.75/1.35 Z := Y
% 0.75/1.35 end
% 0.75/1.35 substitution1:
% 0.75/1.35 X := Z
% 0.75/1.35 Y := T
% 0.75/1.35 Z := X
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 subsumption: (113) {G1,W12,D2,L4,V4,M2} R(12,12) { distinct_lines( X, Y ),
% 0.75/1.35 distinct_lines( Y, T ), apart_point_and_line( Z, T ), !
% 0.75/1.35 apart_point_and_line( Z, X ) }.
% 0.75/1.35 parent0: (1211) {G1,W12,D2,L4,V4,M4} { distinct_lines( X, Y ),
% 0.75/1.35 apart_point_and_line( Z, Y ), distinct_lines( T, X ), !
% 0.75/1.35 apart_point_and_line( Z, T ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 X := Y
% 0.75/1.35 Y := T
% 0.75/1.35 Z := Z
% 0.75/1.35 T := X
% 0.75/1.35 end
% 0.75/1.35 permutation0:
% 0.75/1.35 0 ==> 1
% 0.75/1.35 1 ==> 2
% 0.75/1.35 2 ==> 0
% 0.75/1.35 3 ==> 3
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 resolution: (1213) {G1,W15,D2,L5,V5,M5} { distinct_lines( X, Y ),
% 0.75/1.35 distinct_lines( Y, Z ), apart_point_and_line( T, Z ), distinct_lines( U,
% 0.75/1.35 X ), ! apart_point_and_line( T, U ) }.
% 0.75/1.35 parent0[3]: (113) {G1,W12,D2,L4,V4,M2} R(12,12) { distinct_lines( X, Y ),
% 0.75/1.35 distinct_lines( Y, T ), apart_point_and_line( Z, T ), !
% 0.75/1.35 apart_point_and_line( Z, X ) }.
% 0.75/1.35 parent1[1]: (12) {G0,W9,D2,L3,V3,M2} I { distinct_lines( Y, Z ),
% 0.75/1.35 apart_point_and_line( X, Z ), ! apart_point_and_line( X, Y ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 X := X
% 0.75/1.35 Y := Y
% 0.75/1.35 Z := T
% 0.75/1.35 T := Z
% 0.75/1.35 end
% 0.75/1.35 substitution1:
% 0.75/1.35 X := T
% 0.75/1.35 Y := U
% 0.75/1.35 Z := X
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 subsumption: (580) {G2,W15,D2,L5,V5,M2} R(113,12) { distinct_lines( X, Y )
% 0.75/1.35 , distinct_lines( Y, Z ), distinct_lines( Z, U ), apart_point_and_line( T
% 0.75/1.35 , U ), ! apart_point_and_line( T, X ) }.
% 0.75/1.35 parent0: (1213) {G1,W15,D2,L5,V5,M5} { distinct_lines( X, Y ),
% 0.75/1.35 distinct_lines( Y, Z ), apart_point_and_line( T, Z ), distinct_lines( U,
% 0.75/1.35 X ), ! apart_point_and_line( T, U ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 X := Y
% 0.75/1.35 Y := Z
% 0.75/1.35 Z := U
% 0.75/1.35 T := T
% 0.75/1.35 U := X
% 0.75/1.35 end
% 0.75/1.35 permutation0:
% 0.75/1.35 0 ==> 1
% 0.75/1.35 1 ==> 2
% 0.75/1.35 2 ==> 3
% 0.75/1.35 3 ==> 0
% 0.75/1.35 4 ==> 4
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 factor: (1219) {G2,W12,D2,L4,V3,M4} { distinct_lines( X, Y ),
% 0.75/1.35 distinct_lines( Y, X ), apart_point_and_line( Z, Y ), !
% 0.75/1.35 apart_point_and_line( Z, X ) }.
% 0.75/1.35 parent0[0, 2]: (580) {G2,W15,D2,L5,V5,M2} R(113,12) { distinct_lines( X, Y
% 0.75/1.35 ), distinct_lines( Y, Z ), distinct_lines( Z, U ), apart_point_and_line
% 0.75/1.35 ( T, U ), ! apart_point_and_line( T, X ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 X := X
% 0.75/1.35 Y := Y
% 0.75/1.35 Z := X
% 0.75/1.35 T := Z
% 0.75/1.35 U := Y
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 resolution: (1225) {G2,W12,D2,L4,V3,M4} { distinct_lines( Y, X ),
% 0.75/1.35 distinct_lines( Y, X ), apart_point_and_line( Z, Y ), !
% 0.75/1.35 apart_point_and_line( Z, X ) }.
% 0.75/1.35 parent0[0]: (31) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 0.75/1.35 distinct_lines( X, Y ) }.
% 0.75/1.35 parent1[0]: (1219) {G2,W12,D2,L4,V3,M4} { distinct_lines( X, Y ),
% 0.75/1.35 distinct_lines( Y, X ), apart_point_and_line( Z, Y ), !
% 0.75/1.35 apart_point_and_line( Z, X ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 X := Y
% 0.75/1.35 Y := X
% 0.75/1.35 end
% 0.75/1.35 substitution1:
% 0.75/1.35 X := X
% 0.75/1.35 Y := Y
% 0.75/1.35 Z := Z
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 factor: (1227) {G2,W9,D2,L3,V3,M3} { distinct_lines( X, Y ),
% 0.75/1.35 apart_point_and_line( Z, X ), ! apart_point_and_line( Z, Y ) }.
% 0.75/1.35 parent0[0, 1]: (1225) {G2,W12,D2,L4,V3,M4} { distinct_lines( Y, X ),
% 0.75/1.35 distinct_lines( Y, X ), apart_point_and_line( Z, Y ), !
% 0.75/1.35 apart_point_and_line( Z, X ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 X := Y
% 0.75/1.35 Y := X
% 0.75/1.35 Z := Z
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 subsumption: (582) {G3,W9,D2,L3,V3,M2} F(580);r(31) { distinct_lines( Y, X
% 0.75/1.35 ), ! apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ) }.
% 0.75/1.35 parent0: (1227) {G2,W9,D2,L3,V3,M3} { distinct_lines( X, Y ),
% 0.75/1.35 apart_point_and_line( Z, X ), ! apart_point_and_line( Z, Y ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 X := Y
% 0.75/1.35 Y := X
% 0.75/1.35 Z := Z
% 0.75/1.35 end
% 0.75/1.35 permutation0:
% 0.75/1.35 0 ==> 0
% 0.75/1.35 1 ==> 2
% 0.75/1.35 2 ==> 1
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 resolution: (1230) {G1,W9,D2,L3,V1,M3} { distinct_lines( X, skol3 ),
% 0.75/1.35 apart_point_and_line( skol2, X ), apart_point_and_line( skol1, skol3 )
% 0.75/1.35 }.
% 0.75/1.35 parent0[1]: (582) {G3,W9,D2,L3,V3,M2} F(580);r(31) { distinct_lines( Y, X )
% 0.75/1.35 , ! apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ) }.
% 0.75/1.35 parent1[1]: (17) {G0,W6,D2,L2,V0,M1} I { apart_point_and_line( skol1, skol3
% 0.75/1.35 ), apart_point_and_line( skol2, skol3 ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 X := skol3
% 0.75/1.35 Y := X
% 0.75/1.35 Z := skol2
% 0.75/1.35 end
% 0.75/1.35 substitution1:
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 subsumption: (610) {G4,W9,D2,L3,V1,M2} R(582,17) { distinct_lines( X, skol3
% 0.75/1.35 ), apart_point_and_line( skol1, skol3 ), apart_point_and_line( skol2, X
% 0.75/1.35 ) }.
% 0.75/1.35 parent0: (1230) {G1,W9,D2,L3,V1,M3} { distinct_lines( X, skol3 ),
% 0.75/1.35 apart_point_and_line( skol2, X ), apart_point_and_line( skol1, skol3 )
% 0.75/1.35 }.
% 0.75/1.35 substitution0:
% 0.75/1.35 X := X
% 0.75/1.35 end
% 0.75/1.35 permutation0:
% 0.75/1.35 0 ==> 0
% 0.75/1.35 1 ==> 2
% 0.75/1.35 2 ==> 1
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 resolution: (1231) {G1,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ),
% 0.75/1.35 distinct_lines( line_connecting( X, Y ), Z ), ! apart_point_and_line( X,
% 0.75/1.35 Z ) }.
% 0.75/1.35 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.75/1.35 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 0.75/1.35 parent1[2]: (582) {G3,W9,D2,L3,V3,M2} F(580);r(31) { distinct_lines( Y, X )
% 0.75/1.35 , ! apart_point_and_line( Z, X ), apart_point_and_line( Z, Y ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 X := X
% 0.75/1.35 Y := Y
% 0.75/1.35 end
% 0.75/1.35 substitution1:
% 0.75/1.35 X := Z
% 0.75/1.35 Y := line_connecting( X, Y )
% 0.75/1.35 Z := X
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 subsumption: (611) {G4,W11,D3,L3,V3,M1} R(582,6) { distinct_lines(
% 0.75/1.35 line_connecting( X, Y ), Z ), ! distinct_points( X, Y ), !
% 0.75/1.35 apart_point_and_line( X, Z ) }.
% 0.75/1.35 parent0: (1231) {G1,W11,D3,L3,V3,M3} { ! distinct_points( X, Y ),
% 0.75/1.35 distinct_lines( line_connecting( X, Y ), Z ), ! apart_point_and_line( X,
% 0.75/1.35 Z ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 X := X
% 0.75/1.35 Y := Y
% 0.75/1.35 Z := Z
% 0.75/1.35 end
% 0.75/1.35 permutation0:
% 0.75/1.35 0 ==> 1
% 0.75/1.35 1 ==> 0
% 0.75/1.35 2 ==> 2
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 resolution: (1232) {G5,W14,D3,L4,V2,M4} { distinct_lines( line_connecting
% 0.75/1.35 ( skol1, X ), skol3 ), ! distinct_points( skol1, X ), distinct_lines( Y,
% 0.75/1.35 skol3 ), apart_point_and_line( skol2, Y ) }.
% 0.75/1.35 parent0[2]: (611) {G4,W11,D3,L3,V3,M1} R(582,6) { distinct_lines(
% 0.75/1.35 line_connecting( X, Y ), Z ), ! distinct_points( X, Y ), !
% 0.75/1.35 apart_point_and_line( X, Z ) }.
% 0.75/1.35 parent1[1]: (610) {G4,W9,D2,L3,V1,M2} R(582,17) { distinct_lines( X, skol3
% 0.75/1.35 ), apart_point_and_line( skol1, skol3 ), apart_point_and_line( skol2, X
% 0.75/1.35 ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 X := skol1
% 0.75/1.35 Y := X
% 0.75/1.35 Z := skol3
% 0.75/1.35 end
% 0.75/1.35 substitution1:
% 0.75/1.35 X := Y
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 subsumption: (807) {G5,W14,D3,L4,V2,M1} R(611,610) { ! distinct_points(
% 0.75/1.35 skol1, X ), distinct_lines( line_connecting( skol1, X ), skol3 ),
% 0.75/1.35 distinct_lines( Y, skol3 ), apart_point_and_line( skol2, Y ) }.
% 0.75/1.35 parent0: (1232) {G5,W14,D3,L4,V2,M4} { distinct_lines( line_connecting(
% 0.75/1.35 skol1, X ), skol3 ), ! distinct_points( skol1, X ), distinct_lines( Y,
% 0.75/1.35 skol3 ), apart_point_and_line( skol2, Y ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 X := X
% 0.75/1.35 Y := Y
% 0.75/1.35 end
% 0.75/1.35 permutation0:
% 0.75/1.35 0 ==> 1
% 0.75/1.35 1 ==> 0
% 0.75/1.35 2 ==> 2
% 0.75/1.35 3 ==> 3
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 factor: (1235) {G5,W13,D3,L3,V1,M3} { ! distinct_points( skol1, X ),
% 0.75/1.35 distinct_lines( line_connecting( skol1, X ), skol3 ),
% 0.75/1.35 apart_point_and_line( skol2, line_connecting( skol1, X ) ) }.
% 0.75/1.35 parent0[1, 2]: (807) {G5,W14,D3,L4,V2,M1} R(611,610) { ! distinct_points(
% 0.75/1.35 skol1, X ), distinct_lines( line_connecting( skol1, X ), skol3 ),
% 0.75/1.35 distinct_lines( Y, skol3 ), apart_point_and_line( skol2, Y ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 X := X
% 0.75/1.35 Y := line_connecting( skol1, X )
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 subsumption: (820) {G6,W13,D3,L3,V1,M1} F(807) { ! distinct_points( skol1,
% 0.75/1.35 X ), distinct_lines( line_connecting( skol1, X ), skol3 ),
% 0.75/1.35 apart_point_and_line( skol2, line_connecting( skol1, X ) ) }.
% 0.75/1.35 parent0: (1235) {G5,W13,D3,L3,V1,M3} { ! distinct_points( skol1, X ),
% 0.75/1.35 distinct_lines( line_connecting( skol1, X ), skol3 ),
% 0.75/1.35 apart_point_and_line( skol2, line_connecting( skol1, X ) ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 X := X
% 0.75/1.35 end
% 0.75/1.35 permutation0:
% 0.75/1.35 0 ==> 0
% 0.75/1.35 1 ==> 1
% 0.75/1.35 2 ==> 2
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 resolution: (1236) {G1,W11,D3,L3,V0,M3} { ! distinct_points( skol1, skol2
% 0.75/1.35 ), ! distinct_points( skol1, skol2 ), distinct_lines( line_connecting(
% 0.75/1.35 skol1, skol2 ), skol3 ) }.
% 0.75/1.35 parent0[1]: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 0.75/1.35 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 0.75/1.35 parent1[2]: (820) {G6,W13,D3,L3,V1,M1} F(807) { ! distinct_points( skol1, X
% 0.75/1.35 ), distinct_lines( line_connecting( skol1, X ), skol3 ),
% 0.75/1.35 apart_point_and_line( skol2, line_connecting( skol1, X ) ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 X := skol1
% 0.75/1.35 Y := skol2
% 0.75/1.35 end
% 0.75/1.35 substitution1:
% 0.75/1.35 X := skol2
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 factor: (1237) {G1,W8,D3,L2,V0,M2} { ! distinct_points( skol1, skol2 ),
% 0.75/1.35 distinct_lines( line_connecting( skol1, skol2 ), skol3 ) }.
% 0.75/1.35 parent0[0, 1]: (1236) {G1,W11,D3,L3,V0,M3} { ! distinct_points( skol1,
% 0.75/1.35 skol2 ), ! distinct_points( skol1, skol2 ), distinct_lines(
% 0.75/1.35 line_connecting( skol1, skol2 ), skol3 ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 resolution: (1239) {G1,W5,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 0.75/1.35 skol1, skol2 ), skol3 ) }.
% 0.75/1.35 parent0[0]: (1237) {G1,W8,D3,L2,V0,M2} { ! distinct_points( skol1, skol2 )
% 0.75/1.35 , distinct_lines( line_connecting( skol1, skol2 ), skol3 ) }.
% 0.75/1.35 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 0.75/1.35 }.
% 0.75/1.35 substitution0:
% 0.75/1.35 end
% 0.75/1.35 substitution1:
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 subsumption: (1143) {G7,W5,D3,L1,V0,M1} R(820,7);f;r(14) { distinct_lines(
% 0.75/1.35 line_connecting( skol1, skol2 ), skol3 ) }.
% 0.75/1.35 parent0: (1239) {G1,W5,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 0.75/1.35 skol1, skol2 ), skol3 ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 end
% 0.75/1.35 permutation0:
% 0.75/1.35 0 ==> 0
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 resolution: (1240) {G3,W0,D0,L0,V0,M0} { }.
% 0.75/1.35 parent0[0]: (34) {G2,W5,D3,L1,V0,M1} R(31,16) { ! distinct_lines(
% 0.75/1.35 line_connecting( skol1, skol2 ), skol3 ) }.
% 0.75/1.35 parent1[0]: (1143) {G7,W5,D3,L1,V0,M1} R(820,7);f;r(14) { distinct_lines(
% 0.75/1.35 line_connecting( skol1, skol2 ), skol3 ) }.
% 0.75/1.35 substitution0:
% 0.75/1.35 end
% 0.75/1.35 substitution1:
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 subsumption: (1144) {G8,W0,D0,L0,V0,M0} S(1143);r(34) { }.
% 0.75/1.35 parent0: (1240) {G3,W0,D0,L0,V0,M0} { }.
% 0.75/1.35 substitution0:
% 0.75/1.35 end
% 0.75/1.35 permutation0:
% 0.75/1.35 end
% 0.75/1.35
% 0.75/1.35 Proof check complete!
% 0.75/1.35
% 0.75/1.35 Memory use:
% 0.75/1.35
% 0.75/1.35 space for terms: 16657
% 0.75/1.35 space for clauses: 40209
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 clauses generated: 28169
% 0.75/1.35 clauses kept: 1145
% 0.75/1.35 clauses selected: 365
% 0.75/1.35 clauses deleted: 2
% 0.75/1.35 clauses inuse deleted: 0
% 0.75/1.35
% 0.75/1.35 subsentry: 154876
% 0.75/1.35 literals s-matched: 88730
% 0.75/1.35 literals matched: 88707
% 0.75/1.35 full subsumption: 66868
% 0.75/1.35
% 0.75/1.35 checksum: 1073130043
% 0.75/1.35
% 0.75/1.35
% 0.75/1.35 Bliksem ended
%------------------------------------------------------------------------------