TSTP Solution File: GEO200+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO200+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 02:52:38 EDT 2022
% Result : Theorem 2.24s 2.64s
% Output : Refutation 2.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : GEO200+1 : TPTP v8.1.0. Released v3.3.0.
% 0.09/0.15 % Command : bliksem %s
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Fri Jun 17 15:37:28 EDT 2022
% 0.14/0.36 % CPUTime :
% 2.24/2.64 *** allocated 10000 integers for termspace/termends
% 2.24/2.64 *** allocated 10000 integers for clauses
% 2.24/2.64 *** allocated 10000 integers for justifications
% 2.24/2.64 Bliksem 1.12
% 2.24/2.64
% 2.24/2.64
% 2.24/2.64 Automatic Strategy Selection
% 2.24/2.64
% 2.24/2.64
% 2.24/2.64 Clauses:
% 2.24/2.64
% 2.24/2.64 { ! distinct_points( X, X ) }.
% 2.24/2.64 { ! distinct_lines( X, X ) }.
% 2.24/2.64 { ! convergent_lines( X, X ) }.
% 2.24/2.64 { ! distinct_points( X, Y ), distinct_points( X, Z ), distinct_points( Y, Z
% 2.24/2.64 ) }.
% 2.24/2.64 { ! distinct_lines( X, Y ), distinct_lines( X, Z ), distinct_lines( Y, Z )
% 2.24/2.64 }.
% 2.24/2.64 { ! convergent_lines( X, Y ), convergent_lines( X, Z ), convergent_lines( Y
% 2.24/2.64 , Z ) }.
% 2.24/2.64 { ! distinct_points( X, Y ), ! apart_point_and_line( X, line_connecting( X
% 2.24/2.64 , Y ) ) }.
% 2.24/2.64 { ! distinct_points( X, Y ), ! apart_point_and_line( Y, line_connecting( X
% 2.24/2.64 , Y ) ) }.
% 2.24/2.64 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 2.24/2.64 , Y ), X ) }.
% 2.24/2.64 { ! convergent_lines( X, Y ), ! apart_point_and_line( intersection_point( X
% 2.24/2.64 , Y ), Y ) }.
% 2.24/2.64 { ! distinct_points( X, Y ), ! distinct_lines( Z, T ), apart_point_and_line
% 2.24/2.64 ( X, Z ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 2.24/2.64 apart_point_and_line( Y, T ) }.
% 2.24/2.64 { ! apart_point_and_line( X, Y ), distinct_points( X, Z ),
% 2.24/2.64 apart_point_and_line( Z, Y ) }.
% 2.24/2.64 { ! apart_point_and_line( X, Y ), distinct_lines( Y, Z ),
% 2.24/2.64 apart_point_and_line( X, Z ) }.
% 2.24/2.64 { ! convergent_lines( X, Y ), distinct_lines( Y, Z ), convergent_lines( X,
% 2.24/2.64 Z ) }.
% 2.24/2.64 { distinct_points( skol1, skol2 ) }.
% 2.24/2.64 { distinct_lines( line_connecting( skol1, skol2 ), line_connecting( skol2,
% 2.24/2.64 skol1 ) ) }.
% 2.24/2.64
% 2.24/2.64 percentage equality = 0.000000, percentage horn = 0.562500
% 2.24/2.64 This a non-horn, non-equality problem
% 2.24/2.64
% 2.24/2.64
% 2.24/2.64 Options Used:
% 2.24/2.64
% 2.24/2.64 useres = 1
% 2.24/2.64 useparamod = 0
% 2.24/2.64 useeqrefl = 0
% 2.24/2.64 useeqfact = 0
% 2.24/2.64 usefactor = 1
% 2.24/2.64 usesimpsplitting = 0
% 2.24/2.64 usesimpdemod = 0
% 2.24/2.64 usesimpres = 3
% 2.24/2.64
% 2.24/2.64 resimpinuse = 1000
% 2.24/2.64 resimpclauses = 20000
% 2.24/2.64 substype = standard
% 2.24/2.64 backwardsubs = 1
% 2.24/2.64 selectoldest = 5
% 2.24/2.64
% 2.24/2.64 litorderings [0] = split
% 2.24/2.64 litorderings [1] = liftord
% 2.24/2.64
% 2.24/2.64 termordering = none
% 2.24/2.64
% 2.24/2.64 litapriori = 1
% 2.24/2.64 termapriori = 0
% 2.24/2.64 litaposteriori = 0
% 2.24/2.64 termaposteriori = 0
% 2.24/2.64 demodaposteriori = 0
% 2.24/2.64 ordereqreflfact = 0
% 2.24/2.64
% 2.24/2.64 litselect = none
% 2.24/2.64
% 2.24/2.64 maxweight = 15
% 2.24/2.64 maxdepth = 30000
% 2.24/2.64 maxlength = 115
% 2.24/2.64 maxnrvars = 195
% 2.24/2.64 excuselevel = 1
% 2.24/2.64 increasemaxweight = 1
% 2.24/2.64
% 2.24/2.64 maxselected = 10000000
% 2.24/2.64 maxnrclauses = 10000000
% 2.24/2.64
% 2.24/2.64 showgenerated = 0
% 2.24/2.64 showkept = 0
% 2.24/2.64 showselected = 0
% 2.24/2.64 showdeleted = 0
% 2.24/2.64 showresimp = 1
% 2.24/2.64 showstatus = 2000
% 2.24/2.64
% 2.24/2.64 prologoutput = 0
% 2.24/2.64 nrgoals = 5000000
% 2.24/2.64 totalproof = 1
% 2.24/2.64
% 2.24/2.64 Symbols occurring in the translation:
% 2.24/2.64
% 2.24/2.64 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.24/2.64 . [1, 2] (w:1, o:18, a:1, s:1, b:0),
% 2.24/2.64 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 2.24/2.64 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.24/2.64 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.24/2.64 distinct_points [36, 2] (w:1, o:43, a:1, s:1, b:0),
% 2.24/2.64 distinct_lines [37, 2] (w:1, o:44, a:1, s:1, b:0),
% 2.24/2.64 convergent_lines [38, 2] (w:1, o:42, a:1, s:1, b:0),
% 2.24/2.64 line_connecting [41, 2] (w:1, o:45, a:1, s:1, b:0),
% 2.24/2.64 apart_point_and_line [42, 2] (w:1, o:46, a:1, s:1, b:0),
% 2.24/2.64 intersection_point [43, 2] (w:1, o:47, a:1, s:1, b:0),
% 2.24/2.64 skol1 [46, 0] (w:1, o:11, a:1, s:1, b:0),
% 2.24/2.64 skol2 [47, 0] (w:1, o:12, a:1, s:1, b:0).
% 2.24/2.64
% 2.24/2.64
% 2.24/2.64 Starting Search:
% 2.24/2.64
% 2.24/2.64 *** allocated 15000 integers for clauses
% 2.24/2.64 Resimplifying inuse:
% 2.24/2.64 Done
% 2.24/2.64
% 2.24/2.64 Failed to find proof!
% 2.24/2.64 maxweight = 15
% 2.24/2.64 maxnrclauses = 10000000
% 2.24/2.64 Generated: 35085
% 2.24/2.64 Kept: 323
% 2.24/2.64
% 2.24/2.64
% 2.24/2.64 The strategy used was not complete!
% 2.24/2.64
% 2.24/2.64 Increased maxweight to 16
% 2.24/2.64
% 2.24/2.64 Starting Search:
% 2.24/2.64
% 2.24/2.64 Resimplifying inuse:
% 2.24/2.64 Done
% 2.24/2.64
% 2.24/2.64 Failed to find proof!
% 2.24/2.64 maxweight = 16
% 2.24/2.64 maxnrclauses = 10000000
% 2.24/2.64 Generated: 36973
% 2.24/2.64 Kept: 339
% 2.24/2.64
% 2.24/2.64
% 2.24/2.64 The strategy used was not complete!
% 2.24/2.64
% 2.24/2.64 Increased maxweight to 17
% 2.24/2.64
% 2.24/2.64 Starting Search:
% 2.24/2.64
% 2.24/2.64 *** allocated 22500 integers for clauses
% 2.24/2.64 Resimplifying inuse:
% 2.24/2.64 Done
% 2.24/2.64
% 2.24/2.64 Failed to find proof!
% 2.24/2.64 maxweight = 17
% 2.24/2.64 maxnrclauses = 10000000
% 2.24/2.64 Generated: 64417
% 2.24/2.64 Kept: 487
% 2.24/2.64
% 2.24/2.64
% 2.24/2.64 The strategy used was not complete!
% 2.24/2.64
% 2.24/2.64 Increased maxweight to 18
% 2.24/2.64
% 2.24/2.64 Starting Search:
% 2.24/2.64
% 2.24/2.64 *** allocated 15000 integers for termspace/termends
% 2.24/2.64 *** allocated 33750 integers for clauses
% 2.24/2.64
% 2.24/2.64 Bliksems!, er is een bewijs:
% 2.24/2.64 % SZS status Theorem
% 2.24/2.64 % SZS output start Refutation
% 2.24/2.64
% 2.24/2.64 (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 2.24/2.64 (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 2.24/2.64 (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ), distinct_points( Y, Z
% 2.24/2.64 ), ! distinct_points( X, Y ) }.
% 2.24/2.64 (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ), distinct_lines( Y, Z )
% 2.24/2.64 , ! distinct_lines( X, Y ) }.
% 2.24/2.64 (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 2.24/2.64 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 2.24/2.64 (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 2.24/2.64 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 2.24/2.64 (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), ! distinct_lines(
% 2.24/2.64 Z, T ), apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 2.24/2.64 apart_point_and_line( Y, T ), apart_point_and_line( X, Z ) }.
% 2.24/2.64 (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 ) }.
% 2.24/2.64 (15) {G0,W7,D3,L1,V0,M1} I { distinct_lines( line_connecting( skol1, skol2
% 2.24/2.64 ), line_connecting( skol2, skol1 ) ) }.
% 2.24/2.64 (19) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 2.24/2.64 distinct_points( X, Y ) }.
% 2.24/2.64 (30) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ), distinct_lines
% 2.24/2.64 ( X, Y ) }.
% 2.24/2.64 (33) {G2,W7,D3,L1,V0,M1} R(30,15) { distinct_lines( line_connecting( skol2
% 2.24/2.64 , skol1 ), line_connecting( skol1, skol2 ) ) }.
% 2.24/2.64 (61) {G1,W22,D3,L6,V4,M3} R(10,7) { ! distinct_points( X, Y ), !
% 2.24/2.64 distinct_lines( line_connecting( Z, Y ), T ), ! distinct_points( Z, Y ),
% 2.24/2.64 apart_point_and_line( X, line_connecting( Z, Y ) ), apart_point_and_line
% 2.24/2.64 ( X, T ), apart_point_and_line( Y, T ) }.
% 2.24/2.64 (73) {G2,W14,D3,L4,V3,M2} F(61);r(6) { ! distinct_points( X, Y ), !
% 2.24/2.64 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( Y, Z
% 2.24/2.64 ), apart_point_and_line( X, Z ) }.
% 2.24/2.64 (751) {G3,W18,D3,L4,V3,M1} R(73,6) { ! distinct_points( X, Y ), !
% 2.24/2.64 distinct_lines( line_connecting( X, Y ), line_connecting( Y, Z ) ), !
% 2.24/2.64 distinct_points( Y, Z ), apart_point_and_line( X, line_connecting( Y, Z )
% 2.24/2.64 ) }.
% 2.24/2.64 (761) {G4,W10,D3,L2,V2,M1} R(751,7);f;r(19) { ! distinct_points( Y, X ), !
% 2.24/2.64 distinct_lines( line_connecting( X, Y ), line_connecting( Y, X ) ) }.
% 2.24/2.64 (816) {G5,W0,D0,L0,V0,M0} R(761,33);r(14) { }.
% 2.24/2.64
% 2.24/2.64
% 2.24/2.64 % SZS output end Refutation
% 2.24/2.64 found a proof!
% 2.24/2.64
% 2.24/2.64
% 2.24/2.64 Unprocessed initial clauses:
% 2.24/2.64
% 2.24/2.64 (818) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 2.24/2.64 (819) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 2.24/2.64 (820) {G0,W3,D2,L1,V1,M1} { ! convergent_lines( X, X ) }.
% 2.24/2.64 (821) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ), distinct_points( X
% 2.24/2.64 , Z ), distinct_points( Y, Z ) }.
% 2.24/2.64 (822) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ), distinct_lines( X, Z
% 2.24/2.64 ), distinct_lines( Y, Z ) }.
% 2.24/2.64 (823) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), convergent_lines(
% 2.24/2.64 X, Z ), convergent_lines( Y, Z ) }.
% 2.24/2.64 (824) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 2.24/2.64 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 2.24/2.64 (825) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 2.24/2.64 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 2.24/2.64 (826) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 2.24/2.64 apart_point_and_line( intersection_point( X, Y ), X ) }.
% 2.24/2.64 (827) {G0,W8,D3,L2,V2,M2} { ! convergent_lines( X, Y ), !
% 2.24/2.64 apart_point_and_line( intersection_point( X, Y ), Y ) }.
% 2.24/2.64 (828) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), ! distinct_lines(
% 2.24/2.64 Z, T ), apart_point_and_line( X, Z ), apart_point_and_line( X, T ),
% 2.24/2.64 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ) }.
% 2.24/2.64 (829) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ),
% 2.24/2.64 distinct_points( X, Z ), apart_point_and_line( Z, Y ) }.
% 2.24/2.64 (830) {G0,W9,D2,L3,V3,M3} { ! apart_point_and_line( X, Y ), distinct_lines
% 2.24/2.64 ( Y, Z ), apart_point_and_line( X, Z ) }.
% 2.24/2.64 (831) {G0,W9,D2,L3,V3,M3} { ! convergent_lines( X, Y ), distinct_lines( Y
% 2.24/2.64 , Z ), convergent_lines( X, Z ) }.
% 2.24/2.64 (832) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 2.24/2.64 (833) {G0,W7,D3,L1,V0,M1} { distinct_lines( line_connecting( skol1, skol2
% 2.24/2.64 ), line_connecting( skol2, skol1 ) ) }.
% 2.24/2.64
% 2.24/2.64
% 2.24/2.64 Total Proof:
% 2.24/2.64
% 2.24/2.64 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 2.24/2.64 parent0: (818) {G0,W3,D2,L1,V1,M1} { ! distinct_points( X, X ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 X := X
% 2.24/2.64 end
% 2.24/2.64 permutation0:
% 2.24/2.64 0 ==> 0
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 subsumption: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 2.24/2.64 parent0: (819) {G0,W3,D2,L1,V1,M1} { ! distinct_lines( X, X ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 X := X
% 2.24/2.64 end
% 2.24/2.64 permutation0:
% 2.24/2.64 0 ==> 0
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 subsumption: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 2.24/2.64 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 2.24/2.64 parent0: (821) {G0,W9,D2,L3,V3,M3} { ! distinct_points( X, Y ),
% 2.24/2.64 distinct_points( X, Z ), distinct_points( Y, Z ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 X := X
% 2.24/2.64 Y := Y
% 2.24/2.64 Z := Z
% 2.24/2.64 end
% 2.24/2.64 permutation0:
% 2.24/2.64 0 ==> 2
% 2.24/2.64 1 ==> 0
% 2.24/2.64 2 ==> 1
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 subsumption: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 2.24/2.64 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 2.24/2.64 parent0: (822) {G0,W9,D2,L3,V3,M3} { ! distinct_lines( X, Y ),
% 2.24/2.64 distinct_lines( X, Z ), distinct_lines( Y, Z ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 X := X
% 2.24/2.64 Y := Y
% 2.24/2.64 Z := Z
% 2.24/2.64 end
% 2.24/2.64 permutation0:
% 2.24/2.64 0 ==> 2
% 2.24/2.64 1 ==> 0
% 2.24/2.64 2 ==> 1
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 subsumption: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 2.24/2.64 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 2.24/2.64 parent0: (824) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 2.24/2.64 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 X := X
% 2.24/2.64 Y := Y
% 2.24/2.64 end
% 2.24/2.64 permutation0:
% 2.24/2.64 0 ==> 0
% 2.24/2.64 1 ==> 1
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 subsumption: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 2.24/2.64 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 2.24/2.64 parent0: (825) {G0,W8,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 2.24/2.64 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 X := X
% 2.24/2.64 Y := Y
% 2.24/2.64 end
% 2.24/2.64 permutation0:
% 2.24/2.64 0 ==> 0
% 2.24/2.64 1 ==> 1
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 subsumption: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 2.24/2.64 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 2.24/2.64 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 2.24/2.64 apart_point_and_line( X, Z ) }.
% 2.24/2.64 parent0: (828) {G0,W18,D2,L6,V4,M6} { ! distinct_points( X, Y ), !
% 2.24/2.64 distinct_lines( Z, T ), apart_point_and_line( X, Z ),
% 2.24/2.64 apart_point_and_line( X, T ), apart_point_and_line( Y, Z ),
% 2.24/2.64 apart_point_and_line( Y, T ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 X := X
% 2.24/2.64 Y := Y
% 2.24/2.64 Z := Z
% 2.24/2.64 T := T
% 2.24/2.64 end
% 2.24/2.64 permutation0:
% 2.24/2.64 0 ==> 0
% 2.24/2.64 1 ==> 1
% 2.24/2.64 2 ==> 5
% 2.24/2.64 3 ==> 2
% 2.24/2.64 4 ==> 3
% 2.24/2.64 5 ==> 4
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 subsumption: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 2.24/2.64 }.
% 2.24/2.64 parent0: (832) {G0,W3,D2,L1,V0,M1} { distinct_points( skol1, skol2 ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 end
% 2.24/2.64 permutation0:
% 2.24/2.64 0 ==> 0
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 subsumption: (15) {G0,W7,D3,L1,V0,M1} I { distinct_lines( line_connecting(
% 2.24/2.64 skol1, skol2 ), line_connecting( skol2, skol1 ) ) }.
% 2.24/2.64 parent0: (833) {G0,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 2.24/2.64 skol1, skol2 ), line_connecting( skol2, skol1 ) ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 end
% 2.24/2.64 permutation0:
% 2.24/2.64 0 ==> 0
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 resolution: (870) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 2.24/2.64 distinct_points( X, Y ) }.
% 2.24/2.64 parent0[0]: (0) {G0,W3,D2,L1,V1,M1} I { ! distinct_points( X, X ) }.
% 2.24/2.64 parent1[0]: (3) {G0,W9,D2,L3,V3,M3} I { distinct_points( X, Z ),
% 2.24/2.64 distinct_points( Y, Z ), ! distinct_points( X, Y ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 X := X
% 2.24/2.64 end
% 2.24/2.64 substitution1:
% 2.24/2.64 X := X
% 2.24/2.64 Y := Y
% 2.24/2.64 Z := X
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 subsumption: (19) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 2.24/2.64 distinct_points( X, Y ) }.
% 2.24/2.64 parent0: (870) {G1,W6,D2,L2,V2,M2} { distinct_points( Y, X ), !
% 2.24/2.64 distinct_points( X, Y ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 X := Y
% 2.24/2.64 Y := X
% 2.24/2.64 end
% 2.24/2.64 permutation0:
% 2.24/2.64 0 ==> 1
% 2.24/2.64 1 ==> 0
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 resolution: (872) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 2.24/2.64 distinct_lines( X, Y ) }.
% 2.24/2.64 parent0[0]: (1) {G0,W3,D2,L1,V1,M1} I { ! distinct_lines( X, X ) }.
% 2.24/2.64 parent1[0]: (4) {G0,W9,D2,L3,V3,M3} I { distinct_lines( X, Z ),
% 2.24/2.64 distinct_lines( Y, Z ), ! distinct_lines( X, Y ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 X := X
% 2.24/2.64 end
% 2.24/2.64 substitution1:
% 2.24/2.64 X := X
% 2.24/2.64 Y := Y
% 2.24/2.64 Z := X
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 subsumption: (30) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 2.24/2.64 distinct_lines( X, Y ) }.
% 2.24/2.64 parent0: (872) {G1,W6,D2,L2,V2,M2} { distinct_lines( Y, X ), !
% 2.24/2.64 distinct_lines( X, Y ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 X := Y
% 2.24/2.64 Y := X
% 2.24/2.64 end
% 2.24/2.64 permutation0:
% 2.24/2.64 0 ==> 1
% 2.24/2.64 1 ==> 0
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 resolution: (874) {G1,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 2.24/2.64 skol2, skol1 ), line_connecting( skol1, skol2 ) ) }.
% 2.24/2.64 parent0[0]: (30) {G1,W6,D2,L2,V2,M2} R(4,1) { ! distinct_lines( Y, X ),
% 2.24/2.64 distinct_lines( X, Y ) }.
% 2.24/2.64 parent1[0]: (15) {G0,W7,D3,L1,V0,M1} I { distinct_lines( line_connecting(
% 2.24/2.64 skol1, skol2 ), line_connecting( skol2, skol1 ) ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 X := line_connecting( skol2, skol1 )
% 2.24/2.64 Y := line_connecting( skol1, skol2 )
% 2.24/2.64 end
% 2.24/2.64 substitution1:
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 subsumption: (33) {G2,W7,D3,L1,V0,M1} R(30,15) { distinct_lines(
% 2.24/2.64 line_connecting( skol2, skol1 ), line_connecting( skol1, skol2 ) ) }.
% 2.24/2.64 parent0: (874) {G1,W7,D3,L1,V0,M1} { distinct_lines( line_connecting(
% 2.24/2.64 skol2, skol1 ), line_connecting( skol1, skol2 ) ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 end
% 2.24/2.64 permutation0:
% 2.24/2.64 0 ==> 0
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 *** allocated 22500 integers for termspace/termends
% 2.24/2.64 resolution: (876) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 2.24/2.64 distinct_points( Z, Y ), ! distinct_lines( line_connecting( X, Y ), T ),
% 2.24/2.64 apart_point_and_line( Z, T ), apart_point_and_line( Y, T ),
% 2.24/2.64 apart_point_and_line( Z, line_connecting( X, Y ) ) }.
% 2.24/2.64 parent0[1]: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 2.24/2.64 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 2.24/2.64 parent1[3]: (10) {G0,W18,D2,L6,V4,M4} I { ! distinct_points( X, Y ), !
% 2.24/2.64 distinct_lines( Z, T ), apart_point_and_line( X, T ),
% 2.24/2.64 apart_point_and_line( Y, Z ), apart_point_and_line( Y, T ),
% 2.24/2.64 apart_point_and_line( X, Z ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 X := X
% 2.24/2.64 Y := Y
% 2.24/2.64 end
% 2.24/2.64 substitution1:
% 2.24/2.64 X := Z
% 2.24/2.64 Y := Y
% 2.24/2.64 Z := line_connecting( X, Y )
% 2.24/2.64 T := T
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 subsumption: (61) {G1,W22,D3,L6,V4,M3} R(10,7) { ! distinct_points( X, Y )
% 2.24/2.64 , ! distinct_lines( line_connecting( Z, Y ), T ), ! distinct_points( Z, Y
% 2.24/2.64 ), apart_point_and_line( X, line_connecting( Z, Y ) ),
% 2.24/2.64 apart_point_and_line( X, T ), apart_point_and_line( Y, T ) }.
% 2.24/2.64 parent0: (876) {G1,W22,D3,L6,V4,M6} { ! distinct_points( X, Y ), !
% 2.24/2.64 distinct_points( Z, Y ), ! distinct_lines( line_connecting( X, Y ), T ),
% 2.24/2.64 apart_point_and_line( Z, T ), apart_point_and_line( Y, T ),
% 2.24/2.64 apart_point_and_line( Z, line_connecting( X, Y ) ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 X := Z
% 2.24/2.64 Y := Y
% 2.24/2.64 Z := X
% 2.24/2.64 T := T
% 2.24/2.64 end
% 2.24/2.64 permutation0:
% 2.24/2.64 0 ==> 2
% 2.24/2.64 1 ==> 0
% 2.24/2.64 2 ==> 1
% 2.24/2.64 3 ==> 4
% 2.24/2.64 4 ==> 5
% 2.24/2.64 5 ==> 3
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 factor: (891) {G1,W19,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 2.24/2.64 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( X,
% 2.24/2.64 line_connecting( X, Y ) ), apart_point_and_line( X, Z ),
% 2.24/2.64 apart_point_and_line( Y, Z ) }.
% 2.24/2.64 parent0[0, 2]: (61) {G1,W22,D3,L6,V4,M3} R(10,7) { ! distinct_points( X, Y
% 2.24/2.64 ), ! distinct_lines( line_connecting( Z, Y ), T ), ! distinct_points( Z
% 2.24/2.64 , Y ), apart_point_and_line( X, line_connecting( Z, Y ) ),
% 2.24/2.64 apart_point_and_line( X, T ), apart_point_and_line( Y, T ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 X := X
% 2.24/2.64 Y := Y
% 2.24/2.64 Z := X
% 2.24/2.64 T := Z
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 resolution: (898) {G1,W17,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 2.24/2.64 distinct_points( X, Y ), ! distinct_lines( line_connecting( X, Y ), Z ),
% 2.24/2.64 apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ) }.
% 2.24/2.64 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 2.24/2.64 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 2.24/2.64 parent1[2]: (891) {G1,W19,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 2.24/2.64 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( X,
% 2.24/2.64 line_connecting( X, Y ) ), apart_point_and_line( X, Z ),
% 2.24/2.64 apart_point_and_line( Y, Z ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 X := X
% 2.24/2.64 Y := Y
% 2.24/2.64 end
% 2.24/2.64 substitution1:
% 2.24/2.64 X := X
% 2.24/2.64 Y := Y
% 2.24/2.64 Z := Z
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 factor: (899) {G1,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 2.24/2.64 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( X, Z
% 2.24/2.64 ), apart_point_and_line( Y, Z ) }.
% 2.24/2.64 parent0[0, 1]: (898) {G1,W17,D3,L5,V3,M5} { ! distinct_points( X, Y ), !
% 2.24/2.64 distinct_points( X, Y ), ! distinct_lines( line_connecting( X, Y ), Z ),
% 2.24/2.64 apart_point_and_line( X, Z ), apart_point_and_line( Y, Z ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 X := X
% 2.24/2.64 Y := Y
% 2.24/2.64 Z := Z
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 subsumption: (73) {G2,W14,D3,L4,V3,M2} F(61);r(6) { ! distinct_points( X, Y
% 2.24/2.64 ), ! distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line
% 2.24/2.64 ( Y, Z ), apart_point_and_line( X, Z ) }.
% 2.24/2.64 parent0: (899) {G1,W14,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 2.24/2.64 distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line( X, Z
% 2.24/2.64 ), apart_point_and_line( Y, Z ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 X := X
% 2.24/2.64 Y := Y
% 2.24/2.64 Z := Z
% 2.24/2.64 end
% 2.24/2.64 permutation0:
% 2.24/2.64 0 ==> 0
% 2.24/2.64 1 ==> 1
% 2.24/2.64 2 ==> 3
% 2.24/2.64 3 ==> 2
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 resolution: (901) {G1,W18,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 2.24/2.64 distinct_points( Z, X ), ! distinct_lines( line_connecting( Z, X ),
% 2.24/2.64 line_connecting( X, Y ) ), apart_point_and_line( Z, line_connecting( X, Y
% 2.24/2.64 ) ) }.
% 2.24/2.64 parent0[1]: (6) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 2.24/2.64 apart_point_and_line( X, line_connecting( X, Y ) ) }.
% 2.24/2.64 parent1[2]: (73) {G2,W14,D3,L4,V3,M2} F(61);r(6) { ! distinct_points( X, Y
% 2.24/2.64 ), ! distinct_lines( line_connecting( X, Y ), Z ), apart_point_and_line
% 2.24/2.64 ( Y, Z ), apart_point_and_line( X, Z ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 X := X
% 2.24/2.64 Y := Y
% 2.24/2.64 end
% 2.24/2.64 substitution1:
% 2.24/2.64 X := Z
% 2.24/2.64 Y := X
% 2.24/2.64 Z := line_connecting( X, Y )
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 subsumption: (751) {G3,W18,D3,L4,V3,M1} R(73,6) { ! distinct_points( X, Y )
% 2.24/2.64 , ! distinct_lines( line_connecting( X, Y ), line_connecting( Y, Z ) ), !
% 2.24/2.64 distinct_points( Y, Z ), apart_point_and_line( X, line_connecting( Y, Z
% 2.24/2.64 ) ) }.
% 2.24/2.64 parent0: (901) {G1,W18,D3,L4,V3,M4} { ! distinct_points( X, Y ), !
% 2.24/2.64 distinct_points( Z, X ), ! distinct_lines( line_connecting( Z, X ),
% 2.24/2.64 line_connecting( X, Y ) ), apart_point_and_line( Z, line_connecting( X, Y
% 2.24/2.64 ) ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 X := Y
% 2.24/2.64 Y := Z
% 2.24/2.64 Z := X
% 2.24/2.64 end
% 2.24/2.64 permutation0:
% 2.24/2.64 0 ==> 2
% 2.24/2.64 1 ==> 0
% 2.24/2.64 2 ==> 1
% 2.24/2.64 3 ==> 3
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 resolution: (905) {G1,W16,D3,L4,V2,M4} { ! distinct_points( X, Y ), !
% 2.24/2.64 distinct_points( Y, X ), ! distinct_lines( line_connecting( Y, X ),
% 2.24/2.64 line_connecting( X, Y ) ), ! distinct_points( X, Y ) }.
% 2.24/2.64 parent0[1]: (7) {G0,W8,D3,L2,V2,M1} I { ! distinct_points( X, Y ), !
% 2.24/2.64 apart_point_and_line( Y, line_connecting( X, Y ) ) }.
% 2.24/2.64 parent1[3]: (751) {G3,W18,D3,L4,V3,M1} R(73,6) { ! distinct_points( X, Y )
% 2.24/2.64 , ! distinct_lines( line_connecting( X, Y ), line_connecting( Y, Z ) ), !
% 2.24/2.64 distinct_points( Y, Z ), apart_point_and_line( X, line_connecting( Y, Z
% 2.24/2.64 ) ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 X := X
% 2.24/2.64 Y := Y
% 2.24/2.64 end
% 2.24/2.64 substitution1:
% 2.24/2.64 X := Y
% 2.24/2.64 Y := X
% 2.24/2.64 Z := Y
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 resolution: (910) {G2,W16,D3,L4,V2,M4} { ! distinct_points( X, Y ), !
% 2.24/2.64 distinct_lines( line_connecting( Y, X ), line_connecting( X, Y ) ), !
% 2.24/2.64 distinct_points( X, Y ), ! distinct_points( X, Y ) }.
% 2.24/2.64 parent0[1]: (905) {G1,W16,D3,L4,V2,M4} { ! distinct_points( X, Y ), !
% 2.24/2.64 distinct_points( Y, X ), ! distinct_lines( line_connecting( Y, X ),
% 2.24/2.64 line_connecting( X, Y ) ), ! distinct_points( X, Y ) }.
% 2.24/2.64 parent1[1]: (19) {G1,W6,D2,L2,V2,M2} R(3,0) { ! distinct_points( Y, X ),
% 2.24/2.64 distinct_points( X, Y ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 X := X
% 2.24/2.64 Y := Y
% 2.24/2.64 end
% 2.24/2.64 substitution1:
% 2.24/2.64 X := Y
% 2.24/2.64 Y := X
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 factor: (914) {G2,W13,D3,L3,V2,M3} { ! distinct_points( X, Y ), !
% 2.24/2.64 distinct_lines( line_connecting( Y, X ), line_connecting( X, Y ) ), !
% 2.24/2.64 distinct_points( X, Y ) }.
% 2.24/2.64 parent0[0, 2]: (910) {G2,W16,D3,L4,V2,M4} { ! distinct_points( X, Y ), !
% 2.24/2.64 distinct_lines( line_connecting( Y, X ), line_connecting( X, Y ) ), !
% 2.24/2.64 distinct_points( X, Y ), ! distinct_points( X, Y ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 X := X
% 2.24/2.64 Y := Y
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 factor: (915) {G2,W10,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 2.24/2.64 distinct_lines( line_connecting( Y, X ), line_connecting( X, Y ) ) }.
% 2.24/2.64 parent0[0, 2]: (914) {G2,W13,D3,L3,V2,M3} { ! distinct_points( X, Y ), !
% 2.24/2.64 distinct_lines( line_connecting( Y, X ), line_connecting( X, Y ) ), !
% 2.24/2.64 distinct_points( X, Y ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 X := X
% 2.24/2.64 Y := Y
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 subsumption: (761) {G4,W10,D3,L2,V2,M1} R(751,7);f;r(19) { !
% 2.24/2.64 distinct_points( Y, X ), ! distinct_lines( line_connecting( X, Y ),
% 2.24/2.64 line_connecting( Y, X ) ) }.
% 2.24/2.64 parent0: (915) {G2,W10,D3,L2,V2,M2} { ! distinct_points( X, Y ), !
% 2.24/2.64 distinct_lines( line_connecting( Y, X ), line_connecting( X, Y ) ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 X := Y
% 2.24/2.64 Y := X
% 2.24/2.64 end
% 2.24/2.64 permutation0:
% 2.24/2.64 0 ==> 0
% 2.24/2.64 1 ==> 1
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 resolution: (916) {G3,W3,D2,L1,V0,M1} { ! distinct_points( skol1, skol2 )
% 2.24/2.64 }.
% 2.24/2.64 parent0[1]: (761) {G4,W10,D3,L2,V2,M1} R(751,7);f;r(19) { ! distinct_points
% 2.24/2.64 ( Y, X ), ! distinct_lines( line_connecting( X, Y ), line_connecting( Y,
% 2.24/2.64 X ) ) }.
% 2.24/2.64 parent1[0]: (33) {G2,W7,D3,L1,V0,M1} R(30,15) { distinct_lines(
% 2.24/2.64 line_connecting( skol2, skol1 ), line_connecting( skol1, skol2 ) ) }.
% 2.24/2.64 substitution0:
% 2.24/2.64 X := skol2
% 2.24/2.64 Y := skol1
% 2.24/2.64 end
% 2.24/2.64 substitution1:
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 resolution: (917) {G1,W0,D0,L0,V0,M0} { }.
% 2.24/2.64 parent0[0]: (916) {G3,W3,D2,L1,V0,M1} { ! distinct_points( skol1, skol2 )
% 2.24/2.64 }.
% 2.24/2.64 parent1[0]: (14) {G0,W3,D2,L1,V0,M1} I { distinct_points( skol1, skol2 )
% 2.24/2.64 }.
% 2.24/2.64 substitution0:
% 2.24/2.64 end
% 2.24/2.64 substitution1:
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 subsumption: (816) {G5,W0,D0,L0,V0,M0} R(761,33);r(14) { }.
% 2.24/2.64 parent0: (917) {G1,W0,D0,L0,V0,M0} { }.
% 2.24/2.64 substitution0:
% 2.24/2.64 end
% 2.24/2.64 permutation0:
% 2.24/2.64 end
% 2.24/2.64
% 2.24/2.64 Proof check complete!
% 2.24/2.64
% 2.24/2.64 Memory use:
% 2.24/2.64
% 2.24/2.64 space for terms: 14251
% 2.24/2.64 space for clauses: 29396
% 2.24/2.64
% 2.24/2.64
% 2.24/2.64 clauses generated: 185624
% 2.24/2.64 clauses kept: 817
% 2.24/2.64 clauses selected: 745
% 2.24/2.64 clauses deleted: 0
% 2.24/2.64 clauses inuse deleted: 0
% 2.24/2.64
% 2.24/2.64 subsentry: 346112
% 2.24/2.64 literals s-matched: 299262
% 2.24/2.64 literals matched: 299203
% 2.24/2.64 full subsumption: 255543
% 2.24/2.64
% 2.24/2.64 checksum: -687035
% 2.24/2.64
% 2.24/2.64
% 2.24/2.64 Bliksem ended
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